What is the equation of a line of a line passing through (-3,7) and having a slope of - 1/5?

Answer: $ 14.32

Step-by-step explanation:

15% of 16.85 = 0.15 x 16.85 = 2.5275 ≈ 2.53  

16.85 - 2.53 = 14.32

[tex]12+5a² \\ -(15-3a²) \\- - - - - \\ - 3 + 8 {a}^{2} \\ - - - - - [/tex]

Solution :-

[tex]12+5a²-(15-3a²)\\12+5a²-15+3a²\\12-15+a²(5+3)\\ -3+8a²[/tex]

Hey there!

12 + 5a^2 - (15 - 3a^2)

DISTRIBUTE -1 WITHIN the PARENTHESES

= 12 + 5a^2 - 1(15) - 1(-3a^2)

= 12 + 5a^2 - 15 + 3a^2

COMBINE the LIKE TERMS

= (5a^2 - 3a^2) + (12 - 15)

= 5a^2 + 3a^2 + 12 - 15

= 8a^2 - 3

Therefore, your answer is: 8a^2 - 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

20 greater than or equal to 4x + 7

Step-by-step explanation:

hope this helps!

Answer:

Little more than 5 years

Step-by-step explanation:

Given the following question:

Original value of the car is $14,000
18% depreciated or diminish in value per year.

How many years would it take for the cars value to reach $1000?

To find the answer we must first find 18% of the 14,000 speaking how that's how much the car value diminishes in a year.

18% of 14000:
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{18\times14000}{100} =18\times14000=252000\div100=2520[/tex]
[tex]=2520[/tex]

18% of 14000 is 2520, which means each year the cars value depreciates $2520 dollars.

[tex]14000-2520=11480-2520=8960-2520-6440-2520=3920-2520=1400[/tex]
[tex]=1400[/tex]

Which means it will take a "little more than 5 years" for the cars value to reach $1000.

Hope this helps.

Answer:

The corresponding y-value where x = 2 is -2

From the given graph, we can see that we have a straight line almost passing through the origin.

There are several points on the line expressed as a coordinate (x, y). This means that for every x-value on the x-axis, there are corresponding y values

From the line, we can see that the corresponding y-value where x = 2 is -2

Step-by-step explanation:

Answer:

-2

Similarly construct a horizontal line which goes through the point of intersection. The value of the function here at x = 2 is -2. Therefore, the value of the function is -2.Step-by-step explanation:

Answer:

ok don't worry graphing is super easy.

remember this right is always positive and up is always positive. Left is always negative and down is always negative.

Therefore, point a = left 2 spaces up 1

b = stay right in the middle and move 3 up on the line

c = 1 right, 1 up

Have a great day! :)

pls mark brainliest

Answer:

*View attached graph for a visualization*

Step-by-step explanation:

Rule: (x, y) → (x + 3, y - 2)

A(-2, 1) → A'(-2 + 3, 1 - 2) → A'(1, -1)

B(0,3) → B'(0 + 3 - 2) → B'(3,1)

C(1,1) → C'(1 + 3, 1 - 2) → C'(4, -1)

PS: Vertice A is written incorrectly. It should have been A(-2, 1) like they stated in the beginning.

Hope this helps!

Answer:

Step-by-step explanation:

Image result for Identify the vertex of the following parabola. y = x2 - 4x +1

To find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways) through the formula for the axis of symmetry. Then, you'll use that value to solve for y (or x if your parabola opens to the side) by using the quadratic equation. Those two coordinates are your parabola's vertex.

Answer:

7:55 pm is the correct time

Answer:

7:55 is the answer of the problem

By finding the quotient between the volumes, we will see that 24 books can be fit on the container, and by weight, the container can hold 20 books.

Remember that the volume of a rectangular prism of length L, width W, and height H is given by:

V = L*W*H

Then the volume of each book is:

V = 6in*2in*8in = 96 in^3

And the volume of the container is:

V' = 16in*12in*12in = 2,304 in^3

The number of books that fit in the container is given by:

N = V'/V = 2,304 in^3/96 in^3 = 24

Each book weighs 2 pounds, and the container can hold 40 pounds, then we need to solve the linear equation:

2*x = 40

To get the maximum number of books that the container can hold:

x = 40/2 = 20

x = 20

The container can hold a maximum of 20 books.

If you want to learn more about volumes, you can read:

https://brainly.com/question/1972490

Answer: 125 degrees and 55 degrees

Step-by-step explanation:

Answer:

i rly hate graph them but what ever heres the graph

(8,9)

Hope This Helps!!!

Answer:

Lol is that one 1/b^7

Step-by-step explanation:

if you need explanations dm here

Answer:

A

Step-by-step explanation:

Answer:

d and b

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 8 , then

sum = 180° × 6 = 1080°

note there are 4 angles congruent to ∠ 1 and 1 angle congruent to ∠ 2

sum the interior angles and equate to 1080

5(10x + 15) + 2(14x) + 6x - 3 = 1080 ( distribute parenthesis on left side )

50x + 75 + 28x + 6x - 3 = 1080 ( simplify left side )

84x + 72 = 1080 ( subtract 72 from both sides )

84x = 1008 ( divide both sides by 84 )

x = 12 → option d

--------------------------------------------------------------------

∠ 1 = 10x + 15 = 10(12) + 15 = 120 + 15 = 135°

∠ 2 = 14x = 14 × 12 = 168°

∠ 3 = 6x - 3 = 6(12) - 3 = 72 - 3 = 69°

the largest interior angle is 168° → option b

Answer:

42.60$

Step-by-step explanation:

35.50+(20/100×35.50)

35.50+(0.2×35.50)

35.50+7.10

42.60

Answer:

SOLUTION: It would take about 4.7 hours if they worked together.

Step-by-step explanation:

Answer:

given ,

[tex]\bold{ZH = (11x - 29)}[/tex]

Also ,

[tex]\bold{x = 19}[/tex]

substituting the value of x in the value of ZH , we get

[tex]\bold{ZH = 11(19) - 29 }\\\bold{ ZH = 209 - 29 }\\ \bold\blue{ZH = 180}[/tex]

hope helpful~

The measure of ∠H is 180 degrees, which is a straight angle.

An angle with a measure of exactly 180 degrees is called a straight angle. It is an angle with arms that point in opposing directions from the vertex and unites to make 180°.

The given measure of ∠H is (11x - 29).

To determine the measure of ∠H when x = 19, we can simply substitute x = 19 into the expression for the measure of ∠H:

∠H = 11x - 29

∠H = 11(19) - 29

∠H = 209 - 29

∠H = 180

Here, ∠H has a measure of 180 degrees, which is a straight angle.

Therefore, the measure of ∠H when x = 19 is 180 degrees.

To learn more about straight angles click here:

https://brainly.com/question/9662298

#SPJ7

Answer:

Using the formulas

A=6a2

V=a3

Solving for V

V=6A3/2

36=6·543/2

36≈27

James flipping the coin is an illustration of probability

James' claim is false

The sample space of a coin is:

S = {H,T}

So, the probability of obtaining a tail is:

P(T) = n(T)/n(S)

This gives

P(T) = 1/2

When the coin is flipped twice, the probability that he’ll get tails both times is

P(T and T) = 1/2 * 1/2

Evaluate the product

P(T and T) = 1/4

From the question, he says the probability that he’ll get tails both times is 1/2.

Hence, James' claim is false

Read more about probabilities at:

https://brainly.com/question/25870256

Answer:

[tex]y=6x+-45[/tex]

Step-by-step explanation:

Given the following question:

Point A = (10, 15) = (x1, y1)
Point B = (8, 3) = (x2, y2)

To find the answer we first must find the slope which we will find by using the formula for slope or rise over run. Then we use the formula for slope intercept, substitute the values, and then solve for b.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{3-15}{8-10}[/tex]
[tex]3-15=-12[/tex]
[tex]8-10=-2[/tex]
[tex]=\frac{-12}{-2} =-12\div-2=6[/tex]
[tex]m=6[/tex]

Now we have the slope find the slope intercept:
[tex]y=mx+b[/tex]
[tex]y=15[/tex]
[tex]m=6[/tex]
[tex]x=10[/tex]
[tex]15=6(10)+b[/tex]
[tex]6\times10=60[/tex]
[tex]15=60+b[/tex]
[tex]60-60=0[/tex]
[tex]15-60=-45[/tex]
[tex]-45=b[/tex]
[tex]b=-45[/tex]
[tex]y=6x+-45[/tex]

Your answer is "y = 6x + -45."

Hope this helps.

Answer:

36

Step-by-step explanation:

All you have to do is 6x6 then it's 36...

Answer:

4x-6

Step-by-step explanation:

x = a number

4 times x minus 6

Answer:

0.44

Step-by-step explanation:

See the picture below.

Remember that the sine is the ratio of the length of the opposite leg to the length of the hypotenuse.

Perhaps you know SOHCAHTOA, where SOH means sine, opposite, hypotenuse.

For angle J, leg LK is the opposite leg.

The hypotenuse of the triangle is the side opposite the right angle, teh angle of 90°, which is angle L, so the hypotenuse is side KJ.

[tex]\sin J = \dfrac{opposite~leg}{hypotenuse}[/tex]

[tex] \sin J = \dfrac{39}{89} [/tex]

[tex] \sin J = 0.43820... [/tex]

Answer: 0.44

Answer:

226.8 rounded to the nearest whole number is 227

Step-by-step explanation:

226 is farther away than 227 on a number line, so it rounds to 227.

Answer:

36.66 minutes have gone by

Step-by-step explanation:

x/78 = 47/100 cross multiply

x times 100 = 78 times 47

x100 = 3666

/100    /100

x = 36.66

[tex]\\ \rm\longmapsto f(x)=40(0.6)^x[/tex]

Now

[tex]\\ \rm\longmapsto f(4)[/tex]

[tex]\\ \rm\longmapsto 40(0.6)^4[/tex]

[tex]\\ \rm\longmapsto 40(1.3)[/tex]

[tex]\\ \rm\longmapsto 5.2ft[/tex]

Option A

Answer:

5.2 ft (nearest tenth)

Step-by-step explanation:

Given function:  [tex]f(x)=40(0.6)^x[/tex]

where:

To determine the height of the 4th bounce, substitute [tex]x=4[/tex] into the function:

[tex]\implies f(4)=40(0.6)^4[/tex]

              [tex]=40 \cdot 0.1296[/tex]

              [tex]=5.184[/tex]

              [tex]=5.2 \textsf{ ft (nearest tenth)}[/tex]

Answer:

✓ Answer:c

.Step-by-step explanation: I dont have time to explain.

Answer:

Each t-shirt  cost 13 dollars.

Step-by-step explanation:

Since the jacket was 20 bucks, we can set that aside:

85-20=65

Now that we've set that aside, there are five t-shirts. If they all cost the same, that means we can divide!

65/5=13

How to check?

Use inverse operations: 13*5=65

Re-add the 20 bucks from the jacket, and the bill is complete again! Use inverse operations: 13*5=65

Each shirt costs $13.