Answer:
y = 1/2x + 5
Step-by-step explanation:
The formula for an equation is y = mx + b
m is the slope. It is given
y = 1/2x + b
b is the y-intercept
In this case, we must substitute to find the y-intercept
We are given coordinate pair (4,7)
Plug our pair in and we get => 7 = 1/2(4) + b
=> 7 = 2 + b
easily, we find b = 5
We get our equation: y = 1/2x + 5
Cheers!
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0
Answer:
a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Step-by-step explanation:
The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form
That is:
y = mx = c
where m is the slope and c is the y-intercept
Part a:
6(x+y) = 3(x-y)
2(x+y) = x-y
2x + 2y = x - y
3y = -x
[tex]y = \frac{-1}{3}x[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
Part b:
2(x+y) = 5(y+1)
2x + 2y = 5y + 5
3y = 2x - 5
[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]
Comparing this with general formula, we can conclude that:
The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
Part c:
5x + 10y -20 = 0
10y = -5x + 20
[tex]y = \frac{-1}{2} x+2[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Hope this helps :)
Riley made 5 trays of cupcakes for the bake sale. Each tray had 6 vanilla cupcakes and 8 chocolate cupcakes. How many total cupcakes did Riley make for the bake sale
Answer:
70
Step-by-step explanation:
6x5=30
8x5=40
40+30=70
4x + 7 = ? (I'm not so good in math so please help)
Answer:
4(x+ 1.75)
Step-by-step explanation:
Answer: 4
i wish that helped
PLEASE HELP
If the coordinates of A and B are A(5,5) and B(-1,-4) respectively, find the coordinates of the point c that
divides by the ratio 2:1
A (3,2)
C (1,-1)
B. (-1,-1)
D. (-1,1)
please help thank you :)
Answer:
∠7 = 85°
Step-by-step explanation:
∠1 = 180 - 115 = 65° Because they are supplementary angles
∠2 = 180 - 65 - 85 = 30° Because the sum of all interior angles in a triangle
equals 180°
∠3 = 90° given
∠6 = 180 - 90 - 30 = 60° Because they are supplementary angles
∠4 = 180 - 155 = 25° Because they are supplementary angles
∠5 = 180 - 25 - 60 = 95° Because the sum of all interior angles in a
triangle equals 180°
∠7 = 180 - 95 = 85° Because they are supplementary angles
Find the value of x in the triangle shown below.
15
х
9
Answer:
x=12
Step-by-step explanation:
[tex]x^{2}[/tex]=[tex]15^{2}[/tex]-[tex]9^{2}[/tex]
[tex]x^{2}[/tex]=225-81
[tex]x^{2}[/tex]=144 /sqrt
x=12
Ms lebea, is a grade 10 mathematical literacy teacher at nkami high school gave learners a test out of 70 marks. She has 60 learners in her class and 35 are girls..
1.1 determine the number of boys in the classroom.
1.2 calculate the number of girls as a percentage of total learners in the classroom
1.3 what will be the ratio of girls to boys in the classroom.
1.4 calculate the actual pass mark of the test, if the pass percentage is 30% for the test
Answer:
1.2)60-35=25
therefore there are 25 boys in the class
1.2)35/60×100=58.333%
1.3)35:25
7 : 5
Find the volume of x.
Answer:
98 degrees
Step-by-step explanation:
the full degree of a triangle is 180 degrees
52 + 30 = 82
180 - 82 = 98
4e-12=36 how do u solve this
Answer:
4e-12=36
4e=36+12
4e=48
e=12
Step-by-step explanation:
pasos
1mover la constante a la derecha añadiendo su opuesto en ambos lados (+12 +12)
2debido a que dos opuestos sumados dan cero, remuévenos la expresión es decir (4e=36+12)
3sumar los números es decir sumar (36+12)
4divide ambos lados de la ecuación entre 4 es decir (4e/4 =48/4)
5cualquier expresión dividida entre si es igual a 1
6calcular el cociente es decir (48/4 e=12)
Answer:
12
Step-by-step explanation:
4e=36+12
4e=48
e=12
hope it helps
What is the equation of the line that passes through the point (-1,-7)(−1,−7) and has a slope of 2
Answer:
y = 2x - 5
Step-by-step explanation:
Put it in point-slope form:
y + 7 = 2(x + 1)
y + 7 = 2x + 2
y = 2x - 5
Is r<23 true or false
Answer:
Step-by-step explanation:
True
ill mark u brainliest
Answer:
The slope represents the number of cookies sold for each dollar.
Answer: it is C
Step-by-step explanation: each point is a number boxes sold and some profit
The isotope Herodium-100 decreases by half every minute, Herodium-100 is there
isotope that gives a super hero their strength. Once the amount depletes to 4 ml, a
superhero becomes tired and need to leave the fight. If Mathman has 2000mL in his
body, when will he have to rest and replenish, rounded to the nearest minute?
Answer:
After about 9 minutes.
Step-by-step explanation:
We can write an exponential function to model the decay of Herodium-100.
We are given that it decreases by half every minute.
The standard exponential function is given by:
[tex]f(m)=A(r)^m[/tex]
Where A is the initial amount, r is the rate, and m is the rate (in this case, in minutes).
Mathman initially has 2000 mL of Herodium-100. Therefore, A = 2000.
And since it decreases by half every minute, r = 1/2. Thus:
[tex]\displaystyle f(m)=2000\Big(\frac{1}{2}\Big)^m[/tex]
Mathman needs to rest when the Herodium-100 levels drop to 4 mL. Therefore, we can substitute 4 for f(m) and solve for m:
[tex]\displaystyle 4=2000\Big(\frac{1}{2}\Big)^m[/tex]
Solve for m. Divide both sides by 2000:
[tex]\displaystyle \frac{4}{2000}=\frac{1}{500}=\Big(\frac{1}{2}\Big)^m[/tex]
We can take the natural log of both sides:
[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=\ln\Big(\frac{1}{2}^m\Big)[/tex]
By logarithm properties:
[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=m\ln\Big(\frac{1}{2}\Big)[/tex]
Therefore:
[tex]\displaystyle m=\frac{\ln(1/500)}{\ln(1/2)}\approx 8.9657\approx 9\text{ minutes}[/tex]
Mathman will have to rest and replenish after 9 minutes.
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
f(x) = |x - 3| + 2
g(x) = |x + 1| - 5
Use the discriminant to determine if the following quadratic equations have complex or real solution(s). If an equation has real solution(s), determine the solution(s).
Part A: 4x^2-3x-10=0
part b x^2-14x+49=0
part c g [x]=x^2-8x-20
Part D: h[x]=x^2-9x+36
Part E: 3[x+2]^2+36=0
What is the area of the shaded figure
What is 7/2 divided by 5/4?
HURRY UP PLZ!!
Answer:
[tex] \frac{14}{5} [/tex]
Step-by-step explanation:
1) Use this rule : a ÷ b/c = a × c/b.
[tex] \frac{7}{2} \times \frac{4}{5} [/tex]
2) Use this rule: a/b × c/d = ac/bd.
[tex] \frac{7 \times 4}{2 \times 5} [/tex]
3) Simplify 7 × 4 to 28.
[tex] \frac{28}{2 \times 5} [/tex]
4) Simplify 2 × 5 to 10.
[tex] \frac{28}{10} [/tex]
5) Simplify.
[tex] \frac{14}{5} [/tex]
Therefor, the answer is 14/5. And is decimal form it would be, 2.8.
State whether or not each equation or situation represents direct variation.
give me time will think and say
Answer:
The new Yorker is a very different kind than the word
2) Solve the system of equations using substitution.
2x – 9y = 14
x= -6y +7
Answer:
(7,0) ---> (x = 7) and (y = 0)
Step-by-step explanation:
2x – 9y = 14
x= -6y +7 <-- (Substitute for x to above equation)
---------------------------------------------------------------------------------------------------------
2(-6y +7)– 9y = 14
-12y + 14 - 9y = 14 <-- combine like terms
-21y + 14 = 14
-14 = -14 <-- inverse operation on both sides
-21y = 0 <-- Divide
y = 0 <--- Substitute for y to get x ↓
-------------------------------------------------------------------------------------------------------
2x – 9y = 14
2x – 9(0) = 14 <-- Substituted y from above
2x = 14 <-- Divide
x = 7
A machine produces 78 boxes per minute. At this rate, how long would it take the machine to produce 7,020 boxes?
Answer:
90 Minutes
Step-by-step explanation:
7020 divide by 78 = 90
Hi I need help please
Answer:
x = 9
Step-by-step explanation:
8x - 10 = 62
8x = 72
x = 9
Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 14 square foot. How many squares is the wall divided into? Enter your answer in the box.
Complete question :
Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 1/4 square foot. How many squares is the wall divided into?
Answer:
96
Step-by-step explanation:
Given that:
Total area of wall = 24 ft²
Area of each division =. 1/4 ft²
Number of division = x
The number of divisions * area of each division = total area of wall
x * 1/4ft² = 24ft²
Divide both sides by 1/4 ft²
x = 24ft² ÷ 1/4 ft²
x = 24 * 4 /1
x = 96
Hence, wall is divided into 96 squares
HElppppp will mark brainlest!!!!!!
Answer:
1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent
Step-by-step explanation:
congruent is are the same size and shape, similar have different sizes.
will give brainliest! please help quick
A can of soup is 12 cm tall and has a radius of 4 cm.
What is the volume of soup that the can will hold?
48π cm³
80π cm³
144π cm³
192π cm³
Answer:
192π cm³
Step-by-step explanation:
First, do π(4^2). Then, multiply that times the height. So, 50.24 x 12 = 602.88. But, the question is asking your answer in terms of π. So, do 4^2 x 12. So, 4^2 x 12, gives you the answer: 192. Now change that to make it in terms of π. So, your answer will be: 192π cm³
Answer:
give other brainliest
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). 3 to the power 6/5
The expression above can also be written in the form c√a^b.
For this expression, a = , b = , and c =
.
Answer:
For this expression, a = 3, b = 6, and c = 5.
Step-by-step explanation:
For the given expression, a = 3, b = 6, and c = 5.
We have given that,
Type the correct answer in each box. Use numerals instead of words. If necessary, use for the fraction bar(s). 3 to the power 6/5.
The expression above can also be written in the form c√a^b.
We have to determine the,
For this expression, a = , b = , and c =
What is the expression?
The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols. The expression consists of unknown variables.
For this expression, a = 3, b = 6, and c = 5.
To learn more about the expression visit:
https://brainly.com/question/9752655
#SPJ2
The sum of the two numbers is 121. The difference between the numbers is 15. What are the two numbers?
Answer:
First number = 75.5
Second number = 45.5
What is the coefficient of q in the sum of these two expressions?
(23q – 34) and (–16q – r)
2/3
3/4
1/2
1
Answer:
23 and - 16 are the coefficients
Step-by-step explanation:
need help im struggling
Answer:
the first answer is correct
Step-by-step explanation:
before we started we had not caught any fish
Answer:
I think a is correct bc the rest aren't true
hope this helped
ANSWER FAST ITS DUE IN AN HOURRRRRR
Determine whether this situation represents independent or dependent events. "Three green jelly bean, five red jelly beans and two orange jelly bean are in a bag. What is the probability of selecting an orange jelly bean, putting it back, and then selecting a green jelly bean?" Question 1 options: Independent Events Dependent Events
Answer:
Independent Events
Step-by-step explanation:
Given
[tex]Green = 3\\ Orange = 2\\ Red = 5[/tex]
Required
Dependent or independent event
The probability of selecting a green jelly remains unchanged before and after selecting the first orange jelly.
Before selecting the orange jelly:
[tex]P(Green) = \frac{Green}{Total}[/tex]
[tex]P(Green) = \frac{3}{10}[/tex]
After selecting the orange jelly:
[tex]P(Green) = \frac{Green}{Total}[/tex]
[tex]P(Green) = \frac{3}{10}[/tex]
Because the probabilities remain unchanged, the selection of a green jelly is independent of the selection of the first orange jelly.