Answer:
m = - 4
Slope of function = - 4
Step-by-step explanation:
m = slope of function
Two points on slope = ( - 4 , - 2 ) , ( - 2 , - 10 )
m = ( y1 - y2 ) / ( x1 - x2 )
y1 = - 2
y2 = - 10
x1 = - 4
x2 = - 2
m = [ ( - 2 ) - ( - 10 ) ] / [ ( - 4 ) - ( - 2 ) ]
m = ( - 2 + 10 ) / ( - 4 + 2 )
m = 8 / - 2
m = - 4
Therefore:
Slope of function = - 4
The slope of a line indicates how steep it is calculated mathematically as "rise overrun". It calculates the rate where the variable y changes when the relevant variable changes, and the further calculation can be defined as follows:
Given Points:
[tex]\bold{( - 4 , - 2 ) \ \ and \ \ ( - 2 , - 10 )}[/tex]
To find:
slope (m)=?
Solution:
[tex]\bold{( - 4 , - 2 ) \ \ and \ \ ( - 2 , - 10 )}[/tex]
[tex]\to \bold{x_1=-4}\\\\ \to \bold{y_1= -2}\\\\\to \bold{x_2= -2}\\\\\to \bold{y_2= -10}\\\\[/tex]
Using formula:
[tex]\bold{slope\ (m) = \frac{( y_2 - y_1 )}{( x_2 - x_1 )}}[/tex]
[tex]\bold{=\frac{-10-(-2)}{-2-(-4)}}\\\\\bold{=\frac{-10+2}{-2+4}}\\\\\bold{=\frac{-8}{2}}\\\\\bold{=-4}\\\\[/tex]
Therefore, the slope is "- 4".
Learn more:
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Suppose that p partners equally share the profits from a sale of $3,600. Which algebraic expression represents this situation?
Given : p partners equally share the profits from a sale of $3,600
To find : Which algebraic expression represents this situation
Solution:
Number of Partners = p
Total Profit = $ 3600
Profit of Each Partner = Total Profit / number of Partners
=> Profit of Each Partner = 3600 / p
Hence is algebraic expression that represent the Share of each partner
Answer:
D
Step-by-step explanation:
100% on quiz
Please Help I will mark brainliest
Indicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1)
Answer:
y = x-4
Step-by-step explanation:
The first thing we need here is to find the slope m of the line passing through the two points.
Mathematically;
m = y2-y1/(x2-x1)
Where (x1,y1) = (0,-4) and (x2,y2) = (5,1)
Thus; m = (1-(-4))/(5-0) = 5/5 =0
The standard form of the equation is;
y = mx + c
where m is the slope and c is the intercept. We already calculated m to be 1, so the equation of the line would be;
y = x + c
To get c, what we need to do is to use any of the points and substitute the values of x and y to get c
Let’s use (5,1)
1 = 5 + c
c = 1-5
c = -4
So the line would be
y = x -4
There are 200 people in a cinema. 25% of the people are men. 1⁄5 of the people are women. The rest of the people are children. Work out how many children are in the cinema.
Answer:
110
Step-by-step explanation:
There are 200 people in a cinema- This is our total amount.
25 % of the people are men.
.25 times 200= 50
There are 50 men.
1/5 (20%) of the people are women.
.2 times 200 = 40
There are 40 women.
50+40 = 90
There are 90 adults in the cinema.
If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.
The percentage is 55%.
The simplified fraction is 11/20.
The decimal is .55
The pictogram shows what people ate when they went to a restaurant.
a) 32 people ate chicken.
How many people does
represent?
Chicken
Beef
Fish
Vegetarian
b) Altogether, how many people
went to the restaurant?
pls help
Answer:
Step-by-step explanation: so you calculate how many people ate chicken, beef, fish or are vegetarian then you will add it all together
chicken=128
beef= 80
fish=32
vegetarian=112
128+80+32+112= 352 people ate at the restaurant
Answer:
Altogether, 88 people went to the restaurant.
Step-by-step explanation:
In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 equals=not attractive; 10 equals=extremely attractive). find the range, variance, and standard deviation for the given sample data. can the results be used to describe the variation among attractiveness ratings for the population of adult males
Answer:
hello the data is missing but it is included in the explanation below
missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
Answer :
A) range = 9 , variance = 8.3015, standard deviation = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
Step-by-step explanation:
A ) calculate the Range, variance and standard deviation
The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
i) Range = difference between largest and smallest values
= 10 -1 = 9
ii) variance = summation of ; (xi − x)^2/n-1
= 207.5385/26−1 ≈ 8.3015
iii) standard deviation = [tex]\sqrt{variance}[/tex]
= [tex]\sqrt{8.3015}[/tex] = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
Please help me with this question!!!!!! PLEASE.
Answer:
B. -9, 7
Step-by-step explanation:
For the rational expression to be undefined the denominator has to equal 0.
x² + 2x - 63 = 0
Factor left side.
(x - 7)(x + 9) = 0
Set factors equal to 0.
x - 7 = 0
x = 7
x + 9 = 0
x = -9
x = -9 or x = 7
Answer:
B
Step-by-step explanation:
A rational expression is undefined when the denominator of the expression equals 0 (this is because anything over 0 is undefined). In other words, to find the values for which the given expression is undefined, we simply have to find the zeros of the denominator. We can ignore the numerator. Thus, let:
[tex]0=x^2+2x-63[/tex]
This is now a quadratic. Solve for the quadratic. I will factor but you can do whatever you like (complete the square, quadratic formula, etc.).
We notice that two factors that multiply to -63 and also add to +2 is 9 and -7. Thus:
[tex]0=(x+9)(x-7)[/tex]
[tex]x+9=0 ; x=-9[/tex]
[tex]x-7=0; x=7[/tex]
The zeros are -9 and 7.
The denominator will equal 0 at these values, and the expression will be undefined.
i do not understand this , please help!
PLEASE HELP ME! I NEED ANSWERS FAST! WILL MARK THE BRAINLIEST!
Answer:
d
Step-by-step explanation:
The correct answer is d because Nora is proving that PS : PR = PT : PQ and we know that PT = 48 and PQ = 48 + 36 so substituting those values into the right side of the equation gives us 48 : (48 + 36).
Answer:
D
Step-by-step explanation:
Help!!!! please!!!!!
Answer:
60 or 70
Step-by-step explanation:
Answer:
The shape is a trapezium; so use the formula for solving area of a trapezium to solve it. Which is
1/2(a+b)×h
=1/2(10+6)×7
=1/2 × 16 × 7
= 8×7
=56
Derek applies grass seed to 2/5 acre in 3/4 hour. How many acrers can Derek cover per hour. (Please show work)
Answer:
8/15 acres per hour
Step-by-step explanation:
To find acres per hour, divide acres by hours:
(2/5 ac)/(3/4 h) = (2/5)(4/3) ac/h = 8/15 ac/h
Derek can cover 8/15 acres per hour.
What is the area of the trapezoid?
30 square units
60 square units
90 square units
120 square units
Answer:
not d
Step-by-step explanation:
i tried it hehhe
Answer: 60 square units
Step-by-step explanation:
Identify the volume of the composite figure. Round to the nearest tenth. HELP PLS options: 143.8 in ^3 162.7in^3 4,712.4in^3 187.7in^3
Answer:
The volume of the composite figure is 162.7 in^3
Step-by-step explanation:
Here, we have a cylinder placed over a cube
The volume of the cube is L^3
With L being the length of its side = 5
The volume of the cube is 5^3 = 125 in^3
The volume of the cylinder is pi * r^2 * h
with r = 2 in and h = 3 in
The volume of the cylinder = 22/7 * 2^2 * 3 = 37.699 = 37.7 in*3
Total volume is thus;
37.7 + 125 = 162.7 in^3
The perimeter of the rectangle is 26
Answer:
9
Step-by-step explanation:
Answer:
9m
Step-by-step explanation:
Let x be the length of the rectangle and P the perimeter
P= 4*2+ 2x
26= 8+2x
18= 2x
x= 9 m
What is the length Y in this picture ?
Answer:
5
Step-by-step explanation:
The triangle pictured is a 45-45-90 triangle, meaning both legs are the same length, 5.
Use long division to find the quotient below.
(30x3 + 4x2 - 150) = (3x - 5)
A. 10x2 - 24x + 30
B. 10x2 + 24x+ 30
c. 10x2 + 18x+ 30
D. 10x2 - 18x+ 30
PLZZ PLS PLZZZ HELP‼️
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~~
Your answer would be (C) 10x2 + 18x+ 30
~~~~~~~~~~~~~~~~~~~~~~
Hope this helped you!
P . S I would've put the explaintion but it's to long.
graph e(x) = √x − 10 .
Answer:
I Believe if so, this is your answer
Step-by-step explanation:
y = e ( x )
OR
y = √ x − 10
what's the product of 9 (-8)
Answer:
-72
Step-by-step explanation:
I googled it.
Answer:
-72
Step-by-step explanation:
You take the 9, multiply by the -8, and boom. You get -72.
And when you multiply two opposite signs together, it equals to a negative number.
Boom bam boom you became a bit smarter
2x=8
so find the value of x
Answer:
x = 4
Step-by-step explanation:
2x/2 = 8/2
x =4
Please answer is question in two minutes
Answer:
C: 38 units
hope this helps!!
Express each percent as a decimal:
7 1/2%
Answer:
0.075
Step-by-step explanation:
To represent 7 1/2 as a decimal, it would be 0.075 since there are 7 hundredths and half a hundredth.
the total surface area of a cube is 294cm2. work out the volume of the cube.
Answer: 343 cm³
Step-by-step explanation:
The surface area of a cube is 6s^2, where s is the side length of a square. Thus, first do 294/6 to get 49. Then take the square root of 49 to get that each side of the cube is 7. The volume of a cube is s^2, so simply do 7*7*7 to get that the volume of the cube is 343cm^3
Hope it helps <3
Answer:
V =343 cm^3
Step-by-step explanation:
The surface area of a cube is given by
SA = 6s^2 where s is the side length
294 = 6s^2
Divide by 6
294 / 6 = s^2
49 = s^2
Take the square root of each side
sqrt(49) = sqrt(s^2)
7 =s
The volume of a cube is
V = s^3
V = 7^3
V =343 cm^3
Given the following logarithmic equation, think about how you would solve each one. Now,
describe those processes using at least 3 to 4 sentences. Then solve, showing your work.
Equation 1: log2 + logx = log3
Answer: x = 3/2
Step-by-step explanation:
log (2) + log (x) = log (3) Given
log(2x) = log(3) Condensing log rules
2x = 3 Cancellation log rule
[tex]x=\dfrac{3}{2}[/tex] Division Property
Think of 5 positive that have a mode of 4, a median of 8, a mean of 9 and a range of 12
Helppp!!!! please!!!
Answer:
B. 24700
Step-by-step explanation:
Answer:
b. 24700 cm³
Step-by-step explanation:
[tex]\frac{lwh}{3} \\\\65*30*38/3 = 24700 cm^3[/tex]
Hope this helps! :)
Two vectors are said to be parallel if they point in the same direction or if they point in opposite directions.
Part A
Are the vectors v1 = < V3, 1 >and va = <-13, -1 >parallel? Show your work and explain
Part B
Are the vectors Ui =< 2, 3 >and u2 =-3,-2 > parallel? Show your work and explain.
Answer:
When two vectors are parallel, it's because the angles of inclination are equivalent. They are defined by
[tex]\theta = tan^{-1}(\frac{y}{x} )[/tex]
So, we just need to find the angle for each vector and see if they are equivalent.
We have vectors [tex](3,1)[/tex] and [tex](-13,-1)[/tex]. You already can deduce that these vectors are not parallel, because, their divisions are not equivalent.
[tex]\frac{1}{3} \neq \frac{-1}{-13}[/tex]
Which will give different angles in the end.
Let's try the other pair of vectors [tex](2,3)[/tex] and [tex](-3.-2)[/tex]. Their division would be
[tex]\frac{3}{2} \neq \frac{-2}{-3}\\ 1.5 \neq 0.67[/tex]
As you can observe, their divisions are not equivalent, which means their tangents are not equivalent.
Therefore, those vectors are not parallel, because they don't have equivalent angles of inclination, not matter if they are pointing to the same or different direction.
The price of a pair of headphones is $39.99 before tax. Dalton bought the headphones for 30% off. He then paid 6% sales tax on the discounted price. Part A: How much did Dalton pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Dalton paid for the headphones? Show all work and steps in your solution. (5 points) DO NOT LOOK THIS UP PLS
Answer:
part A 1.68
part B 29.67
Step-by-step explanation:
First you multiply $39.99 dollars and 0.30 = $11.9970 you round this to $12.00
After you apply the discount $39.99 - $12.00 = 27.99
Next you must multiply 27.99*0.06 =1.6794 and round to 1.68 to get tax
Last you add $27.99 and 1.68 to get a total of $29.67 for the headphones
Plz give brainliest i didnt look it up.
The sales tax amount is $1.68, and the total amount paid is $29.66
The price is given as:
[tex]Price = \$39.99[/tex]
The sales tax is given as:
[tex]Sales\ tax = 6\%[/tex]
The discount is given as:
[tex]Discount = 30\%[/tex]
(a) The sales tax paid
Start by calculating the discounted price, using:
[tex]Discount = Price \times (1 - 30\%)[/tex]
So, we have:
[tex]Discount = \$39.99 \times (1 - 30\%)[/tex]
[tex]Discount = \$39.99 \times 0.70[/tex]
[tex]Discount = \$27.993[/tex]
The sales tax is then calculated using:
[tex]Sales\ tax = \$27.993 \times 6\%[/tex]
[tex]Sales\ tax = \$1.67958[/tex]
Approximate
[tex]Sales\ tax = \$1.68[/tex]
(b) The total amount paid
This is calculated as:
[tex]Total = Discount + Sales\ Tax[/tex]
[tex]Total = \$27.99 +\$ 1.67[/tex]
[tex]Total = \$29.66[/tex]
Hence, the sales tax amount is $1.68, and the total amount paid is $29.66
Read more about discounts and sales tax at:
https://brainly.com/question/13961909
It costs $20 for each metre of
border edge for a rectangular area.
What is the greatest area someone can enclose by spending $4500?
What is the slope of the line shown below?
We can use the points (-4, 3) and (3, 1) to solve.
Slope formula: y2-y1/x2-x1
1-3/3-(-4)
-2/7
Therefore, the answer is C
Best of Luck!
Answer:
-2/7
Step-by-step explanation:
To find the slope we use the formula
( -4,3) and ( 3,1) are two points on the line
m = ( y2-y1)/(x2-x1)
= ( 1-3)/( 3 - -4)
( 1-3) /(3+4)
-2/7
Instructions: Find the following information using the given image.
X=
Answer:I would say it’s 52in
Step-by-step explanation:
What is the prescribed dosage of a certain medicine for a 6 year old child if the adult dosage of the medicine is 180 milligram? Using formula C= _a__ . A a + 12
Answer:
Child's dosage=60 milligram
Step-by-step explanation:
The correct formula is below
C= a/(a+12) ∙ A
Where,
C = child’s dosage in milligrams
a = age of the child
A = adult dosage in milligrams
a=6 year old
A=180 milligrams
C= a/(a+12) ∙ A
=6/(6+12)*180
=6/18*180
=1/3*180
=60
Child's dosage in milligram=60 milligram