Answer:
1. She did not distribute the Negative 4 properly.
2. She added StartFraction 2 over 7 EndFraction to Negative 4 instead of multiplying StartFraction 2 over 7 EndFraction by Negative 4.
3. The first term should be positive
Step-by-step explanation:
Answer:
Options 1, 3, and 4.
Step-by-step explanation:
got it on my quiz in edge
Which could be the graph of f(x) = |x - h| + k if h and k are both positive? On a coordinate plane, an absolute value graph has a vertex at (2, 1). On a coordinate plane, an absolute value graph has a vertex at (1, negative 4). On a coordinate plane, an absolute value graph has a vertex at (negative 3, 2). On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 5).
Answer:
Step-by-step explanation:
f(x) = |x - h| + k has a vertex at (h, k), where both h and k are positive. Only
"On a coordinate plane, an absolute value graph has a vertex at (2, 1)" satisfies those requirements.
The vertex of an absolute function is the minimum or the maximum point of the graph
The graph that could be [tex]f(x) = |x - h| + k[/tex] is (a) an absolute value graph has a vertex at (2, 1)
The function is given as:
[tex]f(x) = |x - h| + k[/tex]
And the coordinates of the vertex (h,k) are said to be positive.
From the list of given options, only the first option has both coordinates of the vertex to be positive i.e. (2,1)
Hence, the graph that could be [tex]f(x) = |x - h| + k[/tex] is (a)
Read more about absolute value functions at:
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Diane's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Diane $4.05 per pound, and type B coffee costs $5.55 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $735.00. How many pounds of type A coffee were used
Step-by-step explanation:
Type A cost 4.05 dollars per pound
Type B cost 5.55 dollars per pound
now...since type A is four times larger than Type B for that month,.the ratio will be 4:1 respectively
total cost was 735 dollars out of which Type A has
4/5 × 735 = 588 dollars while Type B has 1/5 × 735 = 147 dollars
so therefore ....number of pounds of A = 588/4.05=145.18pounds
and number of Pounds of B = 147/5.55= 26.48pounds
Kini and Duke are each workings during the summer to earn money in addition to their weekly allowance, and they are saving all of their money. Kini earns $9 an hour at her job, and her allowance is $8 per week. Duke earns $7.50 an hour, and his allowance is $17 per week. How many hours do Kini and Duke need to work in order to save the same amount of money in one week?
Answer:
6 hours
Step-by-step explanation:
Kini: 9h+8
Duke: 7.5h+17
9h+8=7.5h+17
8-17=7.5h-9h
-9=-1.5h
6=h
Hope this helps, BRAINLIEST would help me alot!
Answer:
7.3 hours
Step-by-step explanation:
9h+8=7.5+17
-9h -9h
8=1.5h+17
-17 -17
8=1.5h
1.5 1.5
7.3=h
❗️5 points❗️
state the slope of the line.
A. -2
B. 0
C. 1
D. undefined
Answer:
B. 0
Step-by-step explanation:
The slope of a straight horizontal line is always equal to 0.
To support the above statement, we can show working out:
m = slope of the line
m = ( y1 - y2 ) / ( x1 - x2 )
Two points on line = ( 0 , - 2 ) , ( 1 , - 2 )
y1 = - 2
y2 = - 2
x1 = 0
x2 = 1
m = [ ( - 2 ) - ( - 2 ) ] / [ ( 0 ) - ( 1 ) ]
m = ( - 2 + 2 ) / ( 0 - 1 )
m = 0 / - 1
m = 0
The y values on a horizontal line will always be the same. When calculating the subtraction of y values in the numerator of the formula for the slope of a line, a number subtracted by itself will always equal to 0. 0 divided by any number will always equal to 0. Hence, the slope of a straight horizontal line will always equal to 0.
An integer is three more than another integer. Twice the larger integer is two less
than the square of the smaller integer. Find the two integers.
Answer:
The integers are 4 and 7 or -2 and 1.
Step-by-step explanation:
You can make a system of equations with the description of the two integers.
1. x = y + 3
2. 2x + 2 = y^2
The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.
1. x = y + 3
2. 2(y + 3) + 2 = y^2
Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.
2y + 6 + 2 = y^2
y^2 - 2y - 8 = 0
You can factor this equation to solve for y.
(y - 4) (y + 2) = 0
y = 4, y = -2
Now we can substitute the value of y for x in the first equation.
x = 7, x = 1
The two expressions to find the value of the two integers.
M = 3N
2M = N² - 2
N = 6.3 and M = 18.9
The two integers are 6.3 and 18.9
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Smaller integer = M
Larger integer = N
Now,
An integer is three more than another integer.
This can be written as,
M = 3N ____(1)
Twice the larger integer is two less than the square of the smaller integer.
This can be written as,
2M = N² - 2 ______(2)
From (1) and (2) we get,
2(3N) = N² - 2
6N = N² - 2
N² - 2 - 6N = 0
N² - 6N - 2 = 0
This is a quadratic equation.
The roots of this quadratic equation are 6.32 and -0.31 (neglected)
N = 6.32
N = 6.3
Now,
M = 3N
M = 3 x 6.3
M = 18.9
Thus,
The two integers are 6.3 and 18.9
Learn more about expressions here:
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Plz solve if you can. Show ur work. I will name Brainliest! (: I need help plzzzzzzzzzz, especially on the check your work part. plzzzzzz. ( You get 24 points plus Brainliest (: ) -X + 4 = -2X - 6 solve and check your work: 4R - 4 = 3R + 10 solve and check your work: 2Y - 3 = Y - 4 solve and check your work.
1) -x + 4 = -2x - 6
Add(2x)
x+4=-6
Subtract(4)
x = -10
Check your work
-(-10)+4=-2(-10) - 6
10+4=-2(-10) - 6
14=-2(-10)
14=20 - 6
14=14
Correct :)
2) 4R - 4 = 3R + 10
Add 4
4R=3R+14
Subtract 3R
R = 14
Check your work
4(14)-4=3(14)+10
56-4=3(14)+10
52=3(14)+10
52=42+10
52=52
Correct :)
3) 2Y - 3 = Y - 4
Add 3
2Y = Y - 1
Subtract Y
Y = -1
Check your work
2(-1)-3=-1-4
-2-3=-1-4
-5=-5
Correct :)
Hope it helps <3
Find m∠C. please help
Answer: 16.991°
Step-by-step explanation:
Used a triangle calculator hope this helped!
Solve for x 8/11 = x/3
I'm on my last question and now I'm stuck. help
Answer:
11
Step-by-step explanation:
The fraction of students expected to get an A is 5/15 or 1/3
Multiply 1/3 by the number of students
1/3 * 32 = 10.666666
Rounding to the nearest number
11 students
Rodrigo compro 1/5 de los pasteles que venden la señora carmen , carlos 1/10 y francisca 1/3 del total . El resto de los pasteles no se vencio . Que parte del total aun esta disponible?
Se asume que en la pregunta: "El resto de los pasteles no se venció", se quiso decir en realidad: "El resto de los pasteles no se vendió".
Answer:
La parte del total que aún está disponible es [tex] \\ \frac{11}{30}[/tex].
Step-by-step explanation:
El total de los pasteles que se compraron es la suma de las fracciones del total que compró Rodrigo, [tex] \\ \frac{1}{5}[/tex], de la fracción del total que compró Carlos, [tex] \\ \frac{1}{10}[/tex], y de la fracción del total que compró Francisca, [tex] \\ \frac{1}{3}[/tex].
Numericamente hablando, Rodrigo, Carlos y Francisca compraron:
[tex] \\ \frac{1}{5}+\frac{1}{10}+\frac{1}{3}[/tex] [1]
Del total de los pasteles que vende la Señora Carmen.
La suma de las fracciones en [1] se puede realizar de distintas maneras, una posible es la siguiente:
Podemos aplicar la propiedad asociativa para la suma, es decir, primero sumamos dos fracciones y el resultado lo sumamos a la fracción restante.Debemos recordar que, en general, en la suma de fracciones tenemos los siguientes casos:
Fracciones con denominadores diferentes
Si los denominadores de las fracciones son diferentes, los denominadores se multiplican. Este será el nuevo denominador para la suma de dos fracciones.Luego, cada denominador se multiplica con el numerador de la otra fracción. El resultado de cada multiplicación se suma y el total forma el nuevo numerador.Simplificar la fracción de ser posible, es decir, si el numerador y el denominador pueden dividirse por un mismo número, la división resultante para el numerador y el denominador formarán la nueva fracción. El número que simplifica la fracción a su "mínima expresión" es el máximo común divisor de ambos números.Fracciones con iguales denominadores
Se deja el mismo denominador y se suman los numeradores.Seguir el paso 3 del caso anterior para simplificar la fracción.De esta forma:
[tex] \\ (\frac{1}{5}+\frac{1}{10})+\frac{1}{3}[/tex]
Se desarrolla primero la operación entre las fracciones dentro del paréntesis conforme a lo explicado anteriormente:
[tex] \\ (\frac{1*10+5*1}{5*10})+\frac{1}{3}[/tex]
[tex] \\ (\frac{10+5}{50})+\frac{1}{3}[/tex]
[tex] \\ \frac{15}{50} + \frac{1}{3}[/tex]
Se divide el numerador y el denominador de la fracción [tex] \\ \frac{15}{50}[/tex] entre cinco (5):
[tex] \\ (\frac{\frac{15}{5}}{\frac{50}{5}})+\frac{1}{3}[/tex]
Resultando:
[tex] \\ (\frac{3}{10})+\frac{1}{3}[/tex]
Esta fracción se suma a la siguiente y se procede de igual manera:
[tex] \\ \frac{3}{10}+\frac{1}{3}[/tex]
[tex] \\ \frac{3*3+10*1}{10*3}[/tex]
[tex] \\ \frac{9+10}{30}[/tex]
[tex] \\ \frac{19}{30}[/tex]
El número 19 es primo, es decir, sólo lo puede dividir el 1 y el mismo número (19). El 30 no es divisible por 19, por lo tanto, la fracción queda expresada de esa manera.Tenemos entonces que:
El total de los pasteles vendidos fue la fracción [tex] \\ \frac{19}{30}[/tex].La parte que aún está disponible hay que restarla del total. El total es 1.De esta manera, la parte que aún está disponible es:
[tex] \\ 1 - \frac{19}{30}[/tex]
Podemos hacer [tex] \\ 1 = \frac{30}{30} = 1[/tex] (o un número dividido por si mismo es igual a la unidad) para que la operación se haga más fácilmente (caso de suma de fracciones con iguales denominadores):
[tex] \\ \frac{30}{30} - \frac{19}{30}[/tex]
[tex] \\ \frac{30 - 19}{30}[/tex]
[tex] \\ \frac{11}{30}[/tex]
El número once es también un número primo y la fracción no se puede simplificar más porque el 30 no es divisible por 11.
Por lo tanto, la parte que aún está disponible es la fracción [tex] \\ \frac{11}{30}[/tex], la cual podría interpretarse como once (11) partes de las treinta (30), [tex] \\ \frac{11}{30}[/tex], que estaban disponibles antes de que Rodrigo, Carlos y Francisca compraran los pasteles.
Drag each factor to the correct location on the image. If p(1) = 3, p(-4) = 8, p(5) = 0, p(7) = 9, p(-10) = 1, and p(-12) = 0, determine which expressions are factors of the polynomial p(x).
Answer:
Step-by-step explanation:
Recall that when we are factoring a polynomial, we are implicitly finding its roots. By finding a root, we are looking for a value of x (say c) such that p(c) =0. When this happens, our polynomial has the the polynomial (x-c) as a factor.
We are given the values of p at some values of x. We notice that p(5) = 0 and p(-12) =0. So, this means that our polynomial has as a factor the polynomials (x-5) and (x+12).
Answer:
Factor: x-5 & x+12
Not a Factor: x-1, x+4, x-7, x+10
Step-by-step explanation:
The remainder theorem states that for a polynomial p(x) and a number a, the remainder on division of p(x) by x − a is p(a). So, p(a) = 0 if and only if x − a is a factor of p(x).
Since, p(5) = 0 and p(-12) = 0, the expressions (x − 5) and (x + 12) are factors of the polynomial p(x).
Solve for F:
-3/4f =5/4
If your answer is wrong you're getting blocked
Answer:
f = -5/3
Step-by-step explanation:
-3/4f = 5/4
Multiply both sides by -4/3.
-3/4f × -4/3 = 5/4 × -4/3
f = -20/12
f = -5/3
Evaluate function from a graph i need help URGENT!
Answer:
-2
Step-by-step explanation:
Simply find the y-value when x = -5. Looking at the graph, we should get y = -2
Answer:
f(-5) = -2
Step-by-step explanation:
f(-5)
x=-5
Go x=-5 on the graph and see what the y value of the function is
The y value is -2
f(-5) = -2
Help!!!!! please!!!!!
Answer:
250[tex]\pi[/tex] which is around 785 cm (C)
Step-by-step explanation:
Surface area of a cylinder can be found by finding the area of the two circles.
So the diameter of the circle is 10, meaning the radius is 5. (10/2)
[tex]2 * 5^2\pi[/tex] = 50[tex]\pi[/tex]
Multiply by 2 because there are two of these circles.
Now to find the "long part", we find the circumfrence of the circle ([tex]\pi[/tex]d or 2[tex]\pi[/tex]r) and multiply it by the height (15)
10[tex]\pi[/tex] * 15 = 150[tex]\pi[/tex]
add these two up and you get...
250[tex]\pi[/tex] which is around 785 cm. (C)
Given the function P(x)=(x-1)^2, Write the new function wi†h a dilation of 2 ON THE X
Answer:
P(x2) = (x2/2 -1 )^2
Step-by-step explanation:
From the question, we have a dilation of 2 units on the x-axis
The individual points on the curve can be written as:
(x, P(x))
For the sake of ambiguity, let’s say P(x) is y
Now if the first point is (x1,y1) then the second is (x2,y2)
But since dilation is only on the x-axis y1 is same as y2
What this means is that;
our second point is still same as (x2,y1)
But x2 = 2x1
or x1 = x2/2
Thus; y2 or P(x2) = (x2/2 -1 )^2
Thus the horizontal dilation causes the new curve to be as written above
Translate the word problem below into an equation; then solve.
(e) 24. The royal physician failed to produce a cure for the prince's laziness (see practice
problem e), but the queen said she would still let the physician live if he could find a
cure for her husband's snoring instead. Now the physician is nervously combining a 10
ounce substance containing 6% cottonseed with another substance containing 12%
cottonseed to (hopefully) create a snore-suppressing substance with 8% cottonseed.
How many ounces of the 12% substance must he use?
Answer:
The amount of ounces, Y, of the 12% substance is 3.33 ounces
Step-by-step explanation:
The word problem has the task of discovering the required amount of the substance containing the 12% cottonseed required to create a snore suppressing substance with 8% cottonseed
Let the amount of the substance with 6% cottonseed in the 10 ounce substance be X and the amount of the substance with 12% cottonseed be Y
We have;
X×6% + Y×12% = 10 ounce × 8%
Which gives;
0.06×X + 0.12×Y = 0.08×10..........(1)
X + Y = 10.....................................(2)
Putting X = 10 - Y, we have;
0.06×(10 - Y) + 0.12×Y = 0.08×10
0.6 - 0.06·Y + 0.12·Y = 0.8
0.06·Y = 0.8 - 0.6 = 0.2
Y = 0.2/0.06 = 10/3 = 3.33 ounces
X = 10 - Y = 10 - 3.33 = 6.67 ounces
Therefore, the amount of ounces, Y, of the 12% substance = 3.33 ounces.
Answer:
The Answer is actaully 5
Step-by-step explanation:
What is value of x? Enter your answer in the box. x =
Answer:
Hope it helps
sorry fir bad camera view.....
What is the sum of the series represented by:
Answer:
70
Step-by-step explanation:
n =2 ; 3n + 2 = 3*2 + 2 = 6 + 2 = 8
n = 3 ; 3n + 2 = 3*3 + 2 = 9 + 2 = 11
n =4 ; 3n+ 2 = 3*4 + 2 = 12 + 2 = 14
n= 5; 3n +2 = 3*5 + 2 = 15 + 2 = 17
n = 6; 3n + 2 = 3*6 + 2 = 18 + 2 = 20
∑ (3n + 2) = 8 + 11 + 14 + 17 + 20 = 70
Answer:
70
Step-by-step explanation:
TTT
10 points and brainliest!
1. What does a dot in the overlapping region represent?
2. What does a dot represent if it is in a circle but not in the overlapping region?
3. What does a dot that is outside of both circles represent?
Answer:
What does a dot in the overlapping region represent?
it represents how many fit into both categories of the diagram
What does a dot represent if it is in a circle but not in the overlapping region?
it means that it only fits into one category within the diagram
What does a dot that is outside of both circles represent?
it means that it doesn't fit into either categories in the diagram
someone please help me find the answer to this !
Answer:
equation is 29x+32=90
answer x=2
Step-by-step explanation:
29x+32=90
29x=90-32
29x=58
x=58/29
x=2
Evaluate the expression. 56 Divided by (-8)
Answer:
-7
Step-by-step explanation:
Factorise x^2 + 10x + 16
Answer: [tex](x+2)(x+8)[/tex]
Step-by-step explanation:
1) First, we need to see which number multiplies to 16 and adds up to 10.
By looking at the factors of 16, we can see that only 2 and 8 will work.
2) Now, we need to arrange them in the factorized equation, which is always
(x+r)(x+q).
3) This will give us our final equation:
[tex](x+2)(x+8)[/tex]
If you want the roots, just do the negation of r and q and you will get it!
If f(x) = 8x + 5, what is f(x)-1?
Answer:(x-5)/8
Step-by-step explanation:
f(x)=8x+5
let f(x)-1=y
y=8x+5
interchanging x and y
x=8y+5
y=(x-5)/8
Therfore f(x)-1=(x-5)/8
Answer:
x-5/8
Step-by-step explanation:
A(7-1), B(6, 4) and C(5, 5) are three
points in a plane.
1). Find the equations of the
perpendicular bisectors of AB and AC
(ü) Determine the point of
intersection of the perpendicular
bisectors in (i).
(WAEC)
Answer:
The answer is below
Step-by-step explanation:
The equation of the line passing through two points is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\[/tex]
The equation of line AB is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-1)=\frac{4-(-1)}{6-7}(x-7)\\\\y+1=-5(x-7)\\y+1=-5x+35\\y=-5x+34[/tex]
The midpoint of two lines is given as:
[tex]x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}\\midpoint\ of\ AB \ is:\\x=\frac{7+6}{2}=6.5, y=\frac{-1+4}{2}=1.5\\ = (6.5,1.5)[/tex]
The equation of line AC is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-1)=\frac{5-(-1)}{5-7}(x-7)\\\\y+1=-3(x-7)\\y+1=-3x+21\\y=-3x+20[/tex]
The midpoint of two lines is given as:
[tex]x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}\\midpoint\ of\ AB \ is:\\x=\frac{7+5}{2}=6, y=\frac{-1+5}{2}=2\\ = (6,2)[/tex]
The product of the slope of a perpendicular bisector of a line and the slope of the line is -1. That is m1m2 = -1
The slope of the perpendicular bisector of AB is:
m(-5)=-1
m=1/5
The equation of the perpendicular bisector of AB passing through (6.5,1.5) is:
[tex]y-y_1=m(x-x_1)\\y-1.5=\frac{1}{5}(x-6.5)\\y=\frac{1}{5} x-8.25[/tex]
The slope of the perpendicular bisector of AB is:
m(-3)=-1
m=1/3
The equation of the perpendicular bisector of AB passing through (6,2) is:
[tex]y-y_1=m(x-x_1)\\y-2=\frac{1}{3}(x-7)\\y=\frac{1}{3} x-4.33[/tex]
2) The point of intersection is gotten by solving y = 1/5 x -8.25 and y = 1/3 x-4.33 simultaneously.
Subtracting the two equations from each other gives:
0= -0.133x - 3.92
-0.133x = 3.92
x = -29.5
Put x = -29.5 in y = 1/5 x -8.25 i.e:
y = 1/5 (29.5) -8.25
y = -14.16
The point of intersection is (-29.5, -14.16)
Un taxi de la empresa “El rápido” se desplaza hacia el sur a una velocidad comprendida entre 60 km/h y 80 km/h. ¿Entre que valores oscila la distancia del auto al punto de partida al cabo de 5 horas
Answer:
Los valores entre los cuales oscila la distancia del automóvil después de 5 horas es entre 300 metros y 400 metros.
Step-by-step explanation:
Dado que la velocidad mínima del taxi = 60 km / h, la velocidad máxima del taxi = 80 km / h
Por lo tanto, tenemos la distancia mínima cubierta después de una hora = 60 km / h × 5 h = 300 m
La distancia máxima recorrida después de una hora = 80 km / h × 5 h = 400 m, lo que da el rango de variación de la distancia recorrida entre 300 my 400 metros.
Donde, la distancia cubierta = x, tenemos
300 metros ≤ x ≤ 400 metros.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each system of equations to its graph.
Answer:
1) y = 2x + 1
y = x + 2 Corresponding with the third graph
2) y = 3x
y = x + 3 Corresponds with the first graph
3) y = 2x - 2
y = x - 2
4) y = 2x + 3
y = x + 5
Likely correspond with the fourth graph
5) y = 4x + 2
y = 2x + 2 Corresponding with the second equation
Step-by-step explanation:
The groups of equation are;
1) y = 2x + 1
y = x + 2
The y-intercept of equation (1) = 1
The x-intercept of equation (1) = -1/2
The slope of equation (1) = 2
So at x = 0 y = 1 and at y = 0 x = -1/2 and at x = 2 y = 3
Corresponding with the third graph
The same can be shown with the second equation
2) y = 3x
y = x + 3
The y-intercept of equation (1) = 0
The x-intercept of equation (1) = 0
The slope of equation (1) = 3
So at x = 0 y = 0 and at x = 2 y = 6
Corresponds with the first graph
The same can be shown with the second equation
3) y = 2x - 2
y = x - 2
4) y = 2x + 3
y = x + 5
Likely correspond with the fourth graph
5) y = 4x + 2
y = 3x + 2
The y-intercept of equation (1) = 2
The x-intercept of equation (1) = -1/2
The slope of equation (1) = 4
So at x = 0 y = 2 and at y = 0 x = -1/2 and at x = 0.5 y = 4
Corresponding with the second equation
The same can be shown with the second equation
We have to determine, The tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each system of equations to its graph.
The groups of equation are as follows;
The given system of equation is,
[tex]y = 2x + 1\\y = x + 2[/tex]
The y-intercept of equation = 1
The x-intercept of equation = -1/2
And The slope of equation = 2
Then,
At x = 0, y = 1
And at y = 0, x = -1/2
And at x = 2, y = 3
The first and second equation Corresponding with the third graph.
The given system of equation is,
[tex]y = 3x\\y = x + 3[/tex]
The y-intercept of equation = 0
The x-intercept of equation = 0
The slope of equation = 3
So at x = 0, y = 0 and at x = 2, y = 6
The equation Corresponds with the first graph
The given system of equation is,
[tex]y = 2x - 2\\y = x - 2[/tex]
The y-intercept of equation = -2
The x-intercept of equation = 2
The slope of equation = 2
So at x = 0, y = -2 and at x = 2, y = 0
The equation Corresponds with the first graph.
The given system of equation is,
[tex]y = 2x + 3\\y = x + 5[/tex]
The y-intercept of equation = 3
The x-intercept of equation = -2
The slope of equation = 2
So at x = 0, y = 3 and at x = -5, y = 0
The equation Corresponds with the fourth graph.
The given system of equation is,[tex]y = 4x + 2\\y = 3x + 2[/tex]
The y-intercept of equation = 2
The x-intercept of equation = -1/2
The slope of equation = 4
So at x = 0 y = 2 and at y = 0 x = -1/2 and at x = 0.5 y = 4
The equation Corresponding with the second graph.
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Can someone help me with this question please..
Answer:
7200 cm^2
Step-by-step explanation:
The kitchen dimension on the drawing of 14 cm corresponds to an actual kitchen dimension of 40·14 = 560 cm.
The kitchen dimension on the drawing of 22 cm corresponds to an actual kitchen dimension of 40·22 = 880 cm.
The actual kitchen area is ...
Area = length · width = (880 cm)(560 cm) = 492,800 cm^2.
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The difference between this area and the bedroom area is ...
500,000 cm^2 -492,800 cm^2 = 7200 cm^2
The kitchen is 7200 cm^2 smaller than the bedroom.
lena works for 34 hours from monday to friday at her normal rate of pay ,on saturdays she gets an overtime rate of pay ,the overtime rate is 1.5 times her normal rate, she works for 4 hours on a saturday ,altogether lena earns £320 for her weeks work , what is her normal rate of pay per hour ???
Answer: £ 8
Step-by-step explanation:
Total hours Lena works from Monday to Friday = 34 hours
Hours she works on Saturdays = 4
Overtime rate of Saturday = 1.5 times her normal rate
Let x be the normal rate.
Then , Her total earning = [tex]34 x + 4 \times(1.5x) =34x+6x=40x[/tex]
Since her total earnings for week = £ 320
So,
[tex]320=40x\\\\\Rightarrow\ x=\dfrac{320}{40}\\\\\Rightarrow\ x=8[/tex]
Thus, her normal rate of pay per hour = £ 8
Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below.
(0,6)
(3, 0)
A.6
B.3
C.-2
D.2
Explanation:
The average rate of change from x = 0 to x = 3 is exactly the same as the slope of the line through the two points (0,6) and (3,0)
m = slope
m = (y2 - y1)/(x2 - x1)
m = (0-6)/(3-0)
m = -6/3
m = -2
The average rate of change is -2. The negative result indicates the slope is going downhill as you move from left to right.
Please answer it in two minutes
Answer:
61 degrees.
Step-by-step explanation:
As long as the two figures are congruent, angle P corresponds to angle T, angle [cut off but it says 93 degrees] corresponds to angle U, angle N corresponds to angle V, and angle M corresponds to angle S.
Since we already have the value of T, we know the value of P. The measure of angle P is 61 degrees.
Hope this helps!