Beth borrows $100 from her grandmother. She plans to pay her grandmother $15 a month until the money is paid back. Which equation can be used to determine how much Beth will owe, y , after 5 months?

[tex]5y+2x = -7~~~~~......(i)\\\\y = -2x +5 ~~~~~~.....(ii)\\\\(i) -(ii):\\\\5y+2x -y = -7-(-2x+5)\\\\\implies 4y +2x = -7 +2x -5\\\\\implies 4y +2x -2x = -12\\\\\implies 4y = -12\\\\\implies y = - \dfrac{12}4 = -3\\\\\\\text{Substitute}~ y=-3~ \text{in equation (ii):}\\\\\\-3 = -2x +5\\\\\implies 2x = 5 +3 \\\\\implies 2x = 8\\\\\implies x = \dfrac 82 =4\\\\\text{Hence,}~ x = 4[/tex]

Answer:

  a.  4, 6

  b.  -72

  c.  (5, 3)

  d.  Graph A

Step-by-step explanation:

To answer these questions, it is useful to start by factoring the equation.

  y = -3x² +30x -72 . . . . given

  y = -3(x² -10x +24) . . . . factor out leading coefficient

  y = -3(x -4)(x -6)

The x-intercepts are the values of x that make the factors zero:

  x = 4, 6

__

The y-intercept is the constant in the equation: -72.

__

We know the x-coordinate of the vertex is the midpoint between the x-intercepts: (4+6)/2 = 5. The y-coordinate can be found by evaluating y at that x-value.

  y = -3(5 -4)(5 -6) = -3(1)(-1) = 3

The vertex is (5, 3).

__

The graph that has the correct vertex and x-intercepts is Graph A.

Answer:

Hence 27 cubes can be obtained.

Step-by-step explanation:

Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3

Volume of cube of side 6cm = 216cm^3

Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes

Answer:

couldnt draw sorry but heres the answers for a

Step-by-step explanation:

for x = -2

x+y= 6

-2+8=6

so y=8

for x=-1 do the same and y= 7

for x =0 y=6

for x=1 y=5

for x=2 y=4

for x=3 y=3

The rate of change of the radius is 1.32cm²/s

The formula for calculating the volume of a sphere is expressed as:

The rate of change of the volume is given as:

Given the following paramters;

dv/dt = 23cm³/s

Volume = 7cm³

Get the radius of the sphere:

7 = 4/3 πr³\

21 = 4πr³

r³ = 21/4π

r = 1.18 cm

Get the rate of change of the radius to have:

[tex]23 = 4(3.14)(1.18)^2 \frac{dr}{dt} \\23 = 17.48 \frac{dr}{dt} \\\frac{dr}{dt}=1.32cm^2/s[/tex]

Hence the rate of change of the radius is 1.32cm²/s

Learn more on volume of a sphere here: https://brainly.com/question/22807400

Answer:

D) each input has only one output.

Step-by-step explanation:

Frank paid a total of $304 ($55+249). You multiply $304 by 0.07 to get $21.28 (To convert a number to a percentage, multiply it by 100. So, 0.07 as a percent is equal to 7%). You add this to $304 to get to your answer: $325.28.

The total would be $325.28 if the sunglasses were $249. Hope it helped!

Answer:

None of the bowls

Step-by-step explanation:

It's because the amount of chocolate and vanilla in the pudding is the same,

which is why both are chocolatey; none are more chocolatey

Answer:

none

Step-by-step explanation:

Answer:

Step-by-step explanation:

=> 3x + 9 = 2x + 5

=> 3x - 2x = 5 - 9

=> x = - 4

Hence, x has only one solution that is, x = -4 (Ans)

Topic : Linear equations in one variable

Given :

Solution :

[tex]\qquad \sf \: { \dashrightarrow 3x + 9 = 2x + 5}[/tex]

Transposing variables on one side and constant terms on the other side, we get :

[tex]\qquad \sf \: { \dashrightarrow 3x - 2x = 5 - 9}[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = - 4}[/tex]

Answer:

Step-by-step explanation: Find the y-intercept. Write the equation in slope-intercept form. Write an equation of the line that passes through each pair of points. 5. (4, −3), (2, 3)

y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (2,18) and (5,36).

m=36-18/5-2

=18/3=6

slope of line is 6.

Now we need to find the equation of line passing through (2,18) and (5,36).

We need to find the y intercept.

18=6(2)+c

18=12+c

18-12=c

6=c

So y intercept is 6

The equation of line is y=6x+6

Hence y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

To learn more on slope of line click:

https://brainly.com/question/14511992

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Answer: Haha I don't know the answer---Wait wait--I know the answer, its Do School and study for it and you'll find out :)

Step-by-step explanation: This is how i figured it out.... I STUDIED

Answer:

its 6 square feet

s = 1

1^2 = 1

6 x 1 = 6

Answer:

thats the answer

Step-by-step explanation:

because the filipinos are magaling sa math

Answer:

0.05

Step-by-step explanation:

hope this helps! :D

you have a miraculous everybody!! <3

Answer: 0.50

Step-by-step explanation:

The ^-2 means to move the decimal 2 times to the left.

5 * 0.10 = 0.50

[tex]6 \times (3 + 8) \\ = (6 \times 3) + (6 \times 8)[/tex]

Answer:

(6×3)+(6×8)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

With the increase of the value of a ,the value of the expression 20+a will also increase.

Step-by-step explanation:

Answer:

17/8

Step-by-step explanation:

34/16 simplified is 17/8

Answer:

17/8

Step-by-step explanation:

wn won

34 16

34/16

factors of 34 and 16 are 2

34 / 2 = 17

16 / 2 = 8

simplified, 17/8

Answer:

Slope: 4

Intercept: 9

Step-by-step explanation:

Hope this helped! :)

Step-by-step explanation:

The y-axis reflection line will be horizontal. Take each plotted point and make it an equal distance from the y-axis (0, The reflection line will match the x-axis) you will then have the reflection.

Answer:

Go up 2, then over negative 6

Step-by-step explanation:

Answer:

There all 67 degrees

Step-by-step explanation:

Answer:

y= 119

Step-by-step explanation:

From the diagram we know that opposite angles are the same so we can assume that y and its opposite angle will be the same too

All inner angles of a parallelogram add up to 360

61+61=122

360-122=238

238/2=119

Answer:

1. To solve a one-variable equation, it may be necessary to first multiply by using the Distributive Property

2. The next step is to combine like terms as needed.

3. Then solve for the variable by applying inverse operations.

4. If solving lead to a true equation, then the equation has infinitely many solutions.

5. if solving leads to an untrue equation, then the equation has no solution.

Answer:

neither

Step-by-step explanation:

exponential grows larger with each step and liner is constant

Answer:

Exponential because you don't start at 0

Step-by-step explanation:

Answer:

yay thx

Step-by-step explanation:

merry xmas

7 (5) + 1 = 35 + 1 = 36

So, f(5) = 36

Answer:

-4 x 6 + -4

-24 + -4

-28.. is your answer mark me brainlist bro plz

Answer:

-28

Step-by-step explanation:

-4(6)+(-4)

-24+(-4)

-28

Answer:

Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is

Answer: No, absolutely not,

Step-by-step explanation: 6x2 = 12, so you have to multiply by 2 on each side. 1x2=2, so the equivilent ratio is 12:2!

Answer: Nope

Step-by-step explanation: No, because you can see they multiply 1 x 3 to get to 3, but if you multiply 6 x 3, it equals 18, not 12. (6 x 2 = 12) but they have to have the same denominator and numerator to be equivalent. Therefore, no, they are not equivalent.

Answer:

50

Step-by-step explanation: