Answer:
y = 4x - 8
Step-by-step explanation:
(-1, -12) & (4, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - (-12)) / (4 - (-1))
Simplify the parentheses.
= (8 + 12) / (4 + 1)
= (20) / (5)
Simplify the fraction.
20/5
= 4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (4, 8). Plug in the x and y values into the x and y of the standard equation.
8 = 4(4) + b
To find b, multiply the slope and the input of x(4)
8 = 16 + b
Now, subtract 16 from both sides to isolate b.
-8 = b
Plug this into your standard equation.
y = 4x - 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-1, -12).
y = 4x - 8
-12 = 4(-1) - 8
-12 = -4 - 8
- 12 = -12
Your equation is correct.
Hope this helps!
x<5.001
is 5 the solution for X?
explain why please
Answer: 5 could be a solution to x because 5 is less than 5.001
Step-by-step explanation:
Answer:
i do not know
Step-by-step explanation:
please help me, this is late and i will get in soooo much trouble if i do not complete this
Answer:
(D)
Step-by-step explanation:
I dont know tis for sure and so i hope im right :)
Some one help please
Factor: 3bc-4ad +6ac-2bd
Can you create a rubric for this math question
Answer:
(3c−2d)(2a+b)
Step-by-step explanation:
3bc−4ad+6ac−2bd
Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.
2a(3c−2d)+b(3c−2d)
Factor out common term 3c−2d by using distributive property.
(3c−2d)(2a+b)
Yall, is this correct? And sorry for my bad handwriting for the answer btw-
A company sets up a food booth and a game booth at the county fair.
The fee for the food booth is $100 plus $5 per day.
The fee for the game booth is $50 plus $7 per day.
Write an expression for how much both booths will cost for the same number of days.
Answer:
100+5x+50+7x
Step-by-step explanation:
You drive a car that holds 15 gallons of gasoline. Your car uses 0.03 gal per mile. Which equation best represents this information
Fraction 2 1/3 ÷ 1/4
Answer:
mixed number form: 9 1/3
decimal form: 9.3 (repeating)
Step-by-step explanation:
Answer:
9.33
Step-by-step explanation:
2 1/3 ÷ 1/4
change mixed fraction tom improper fraction - 2x3+1 = 7/3
change divide sign to multiply and reciprocate 1/4 to 4/1
multiply fractions- 7/3 x 4/1
7x4/ 3x 1
28/3
9.33
What is this -5/7 divide by -1/3
Answer:
15/7
Step-by-step explanation:
Answer:
15/7
Step-by-step explanation:
(-5/7)/(-1/3)=(-5/7)(-3/1)=15/7
Use your knowledge of functions to complete the table below. Identify whether or not each representation is a function and be sure to justify your answer (pls tell me which one is right)
Answer:
YesUs
Step-by-step explanation:
the vertical LIne test. The lines intercept, so it is not a function.
pls help
will mark brainliest to who answers first
Answer:
y=10
x=10
Step-by-step explanation:
THis is isosceles triangle
180-90-45=45
used pyagorous therum thingy
10over2= square root of 200
so c2=asquare X b squared in this case x=y
so 200/2 = 100
x=100square
y=100 square
simplify = 10
A P E X
If each of the numbers in the following data set were multiplied by 18, what would be the new median of the data set? 14, 20, 18, 58, 71, 36
A. 504
B. 360
C. 324
D. 648
Answer:
504
step by step : 14x18=252. 20x18=360. 18x18=324. 58x18=1044. 71x18= 1278. 36x18=648. 28x18=504.
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
504
3.(x + 2) + (2x + 3) = 23
Answer:
x = 6
Step-by-step explanation:
(x + 2) + (2x + 3) = 23
Combine like terms
3x +5 = 23
Subtract 5 from each side
3x+5-5 = 23-5
3x = 18
Divide each side by 3
3x/3 = 18/3
x = 6
Answer:
x = 6
Step-by-step explanation:
1. Remove parentheses where unneeded. x + 2 + 2x + 3 = 23
2. Add constants. x + 5 + 2x = 23
3. Combine like terms. 3x + 5 = 23
4. Subtract "5" from the constants on both sides of the equation. 3x = 18
5. Divide both sides by 3. 3x/3 = 18/3
6. Simplify. x = 6
A phone company charges $67 for monthly access and $14 for each gigabyte of data used. If you sign a two-year contract and use 147.5 gigabytes of data, what is the total amount you will pay for phone service?
Answer:
the answer is below :)
Step-by-step explanation:
BigBytes will be 100 +10x = y ($100 flat fee plus 10 times the number of gigabytes equals total cost).
GoGig will be 120 + 5x = y. ($120 flat fee plus 5 times the number of gigabytes equals total cost).
Now set them equal to each other and solve for x to find where the gigabytes are the same.
100 + 10x = 120 + 5x
Subtract 100 from both sides: 10x = 20 + 5x
Subtract 5x from both sides: 5x = 20.
Divide both sides by 5: x = 4. 4 gigabytes is the answer.
a brainliest would be appreciated :)
The total amount you will pay for phone service is 4 gigabytes.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
BigBytes will be 100 +10x = y
Therefore , We have $100 flat fee plus 10 times the number of gigabytes equals total cost).
GoGig will be 120 + 5x = y.
We have $120 flat fee plus 5 times the number of gigabytes equals total cost).
Now set them equal to each other and solve for x;
100 + 10x = 120 + 5x
Now Subtract 100 from both sides:
10x = 20 + 5x
Then Subtract 5x from both sides:
5x = 20.
Now Divide both sides by 5:
x = 4.
Hence, the total amount you will pay for phone service is 4 gigabytes.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ5
Mel is taking her holidays. She receives $2937.50. This includes her normal pay
and 17.5% leave loading. How much is the leave loading?
7. The dominant trait for being tall is (A). The recessive trait for being short is (a). Based on the Punnett square what percentage of offspring will be short?
100%
75%
50%
25%
Answer:
50%
Step-by-step explanation:
Applying Properties of Parallelograms, Rhombi, Rectangles, and Squares
Given the following parallelogram: Solve for x,
19x + 8
17% - 50
9514 1404 393
Answer:
x = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so the two marked segments are the same length.
17x + 50 = 19x + 8
42 = 2x . . . . . . . . . . subtract 8+17x
21 = x . . . . . . . . . . . divide by 2
16d + 20c + 5d -7 - 8c - 7d + 3 Simplify the expression above:
Answer:
14d + 12c -4
Step-by-step explanation:
how many inches are in a feet
Answer:
1 foot = 12 inches
Step-by-step explanation:
what two numbers multiply to 24 and add 14
Answer:
its 2 and 12
just basic math lol
Answer:
2 and 12
Step-by-step explanation:
2x12=24
2+12=14
find the surface area of a cube with a side length of 5 centimeters.
The 6 faces of a cube have equal are.
Each face has are of 5*5=25 because they are all squares.
Now we just multiply by 6
25*6=150 centimeters cubed.
Done!
Step-by-step explanation:
step 1. a cube had 6 sides
step 2. each side is a square
step 3. the area of each side is 5x5 = 25cm^2
step 4. the surface area of the cube is 25x6 = 150cm^2.
Find the measure of the indicated angle
Answer:
x = 7
angle (7x + 8) = 57 degrees
Step-by-step explanation:
all triangles interior angles add up to 180 degrees.
(7x+8) + 90 + 33 = 180
7x+8 = 57
7x = 49
x = 7
(7x + 8) = 57
Answer:
57 degrees
Step-by-step explanation:
7x+8+33=90
7x=90-8-33
=90-41
7x=49
x=7
agree or desagree? short question'
Answer:agree.
Step-by-step explanation:
4x2 +9y2 = 72
x - y2 = -1
Select all of the following that are solutions to the system shown.
Solve?
Answer:
[tex]\bold{\left(\dfrac{3}{13}\ ,\ \dfrac{4\sqrt{13}}{13}\right)\qquad\vee\qquad \left(\dfrac{3}{13}\ ,\ -\dfrac{4\sqrt{13}}{13}\right)}[/tex]Step-by-step explanation:
x - y² = -1 ⇒ - y² = - x - 1 ⇒ y² = x + 1 {x≥-1}
4x² + 9y² = 72
4x² + 9(x + 1)² = 72
4x² + 9(x² + 2x + 1) = 72
4x² + 9x² + 18x + 9 - 72 = 0
13x² + 18x - 63 = 0 ⇒ a = 13, b = 18, c = -63
[tex]x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}[/tex]
Last month we had only five sunny days. If there were 30 days last month, the ratio of sunny days to the total number of days is ____.
Answer:
1:6
Step-by-step explanation:
5:30 simplified is 1:6
Answer:
5:30 Simplified: 1:6
Step-by-step explanation:
Hope this helps, and don't forget to follow!
Use the equation below to find y, if m=11, x=2, and b=5.
y=mx-b
Y=
Which equation can be used to solve for 2 in the following diagram?
7xº
11x°
Answer:
7x + 11x = 90
Step-by-step explanation:
Khan academy
Write the equation for the line that passes through (2, -4) and is
perpendicular to the line to x - 4y = 7.
Answer: y= x-2
Step-by-step explanation:
Perpendicularity entails the slope of line a is -1 divided by the slope of line b
m1= (-1/m2)
From y=Mx +c
We compare with x-4y=7
y=(1/4)x-7/4
Meaning m2= 1/4
m1= -1/(1/4)= -1*4= -4
((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1
x1= 2, y1= -4
((y-(-4))/(x-2))= -4
((y+4)/(x-2))= -4
Cross multiply
y+4= -4(x-2)
y= x-2
what is the value of x?
Answer:
68
Step-by-step explanation:
c=√a^2+b^2
√ 60^2 + 32^2 =68
We will use the Pythagorean Theorem
[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]
Amaia walks from her home to the bank, then to the park, and then to get groceries before heading home. The path she travels is in the shape of a parallelogram and is shown in the diagram below. How many total meters did Amaia walk?
Answer:
Amaia walked 28 meters
Step-by-step explanation:
So first we know that the side x+3 is equal to the side 3x+1
subtract 1 and x from both sides to get x=1
then we plug in the 1 to the equation x+9 and we know that side equals 10, meaning the parallel side is also 10.
plug in 1 to one of the original equations to get 4
4+4+10+10=28