Let a line l be given in the coordinate plane. What linear equation is the graph of line l?
6
5
1
3-
3 2
2
1
0
&
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
-1

Answer:

thank you very much, this will be of much help

Answer:

[tex]y = -\frac{21}{2}x+5[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

Required

The equation in slope intercept

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

So:

[tex]m = \frac{-16 - 47}{2 - -4}[/tex]

[tex]m = \frac{-63}{6}[/tex]

Simplify

[tex]m = -\frac{21}{2}[/tex]

So, the equation is calculated as:

[tex]y = m(x - x_1) + y_2[/tex]

This gives:

[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]

[tex]y = -\frac{21}{2}(x+4) + 47[/tex]

Open bracket

[tex]y = -\frac{21}{2}x-42 + 47[/tex]

[tex]y = -\frac{21}{2}x+5[/tex]

Answer:

I'm confused what the question is. I think you might have attached the wrong picture

Answer:

n = -7

Step-by-step explanation:

Use distributive property:

7n - 32n - 16 = 159

Combine like terms

-25n - 16 = 159

Add 16 to both sides to isolate variable n

-25n = 175

Divide both sides by -25 to isolate variable n

n = -7

Check your work:

7(-7) - 32(-7) - 16 = 159

-49 + 224 - 16 = 159

159 = 159

Answer:

(a)2 1/4

(b)1 1/2

(c)1 1/18

(d)5 7/12

Step-by-step explanation:

(a) 11/3 - 17/12 = 44/12 - 17/12 = 27/12 = 9/4 = 2 1/4

(b) 33/10 - 18/10 = 15/10 = 3/2 = 1 1/2

(c) 41/9 - 7/2 = 82/18 - 63/18 = 19/18 = 1 1/18

(d) 47/6 - 9/4 = 94/12 - 27/12 = 67/12 = 5 7/12

Hope it helped :)

Answer:

2025 children

Step-by-step explanation:

4 2700

-- = --------

3 x

cross multiply

4x = 8100

x = 2025

Answer:

9=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x²-9x+7=0

2x²-9x=-7

x²-9/2 x +(-9/4)²=-7+(-9/4)²

(x-9/4)²=-7+81/16=(-112+81)/16=-31/16

(x+(-9/4))²=-31/16

Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is the 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way than before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equtions:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.

Answer:

14130 yd³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3}[/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(30 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {15}^{3} [/tex]

[tex] = \frac{42390}{3} [/tex]

= 14130 yd³

answer:

y=x+5

**i don't know what it is that you need but i hope this helps**

good luck :)

have a nice day!

Answer:

$750

Step-by-step explanation:

We can set up the equation 30x + 50y =  z where x = the amount of small dogs, y = the amount of big dogs, and z = the total.

After plugging in the x and y values to solve for z, we are left with the following equation:

30(15) + 50(6) = 750

Answer:

(a) and (b)

[tex]f(g(x)) = g(f(x)) = x[/tex]

(c) and (d)

[tex]f(g(x)) =-x + 8[/tex]

[tex]g(f(x)) = x + 8[/tex]

Step-by-step explanation:

Given

(a) to (d)

Required

Find f(g(x)) and g(f(x)) for each pair

For (a) and (b), we have:

[tex]f(x) = \frac{3}{x}[/tex]

[tex]g(x) = \frac{3}{x}[/tex]

Calculate f(g(x))

[tex]f(x) = \frac{3}{x}[/tex]

[tex]f(g(x)) = \frac{3}{g(x)}[/tex]

Substitute 3/x for g(x)

[tex]f(g(x)) = \frac{3}{3/x}[/tex]

Rewrite as:

[tex]f(g(x)) = 3/\frac{3}{x}[/tex]

[tex]f(g(x)) = 3*\frac{x}{3}[/tex]

[tex]f(g(x)) = x[/tex]

Since f(x) = g(x), then:

[tex]f(g(x)) = g(f(x)) = x[/tex]

For (c) and (d)

[tex]f(x) =x + 4[/tex]

[tex]g(x) =-x + 4[/tex]

Solving f(g(x)), we have:

[tex]f(x) =x + 4[/tex]

[tex]f(g(x)) =g(x) + 4[/tex]

Substitute [tex]g(x) =-x + 4[/tex]

[tex]f(g(x)) =-x + 4 + 4[/tex]

[tex]f(g(x)) =-x + 8[/tex]

Calculating g(f(x))

[tex]g(x) =-x + 4[/tex]

[tex]g(f(x)) = -f(x) + 4[/tex]

Substitute: [tex]f(x) =x + 4[/tex]

[tex]g(f(x)) = x + 4 + 4[/tex]

[tex]g(f(x)) = x + 8[/tex]

Answer:

x=18 days

Step-by-step explanation:

since the student runs 2 1/2 miles everyday divide that into 45 miles and you get 18 therefore x=18

Answer:

32 years old

Step-by-step explanation:

48-16=32

Answer:

Paul is 32 years old

Step-by-step explanation:

48 - 16 = 32

Answer:

D. If I do not listen to this song, then it will not get stuck in my head.

Step-by-step explanation:

Answer:

"If I don't listen to this song, then it won't get stuck in my head."

Answer:

Answer: a = 140°, b = 40° and c = 140°

Step-by-step explanation:

Angles a° and c° are also vertical angles, so must be equal, which means they are 140° each. Answer: a = 140°, b = 40° and c = 140°. Note: They are also called Vertically Opposite Angles, which is just a more exact way of saying the same thing.

You are cheating. I see this is a test.

the answer for your question is 0.0137

Answer:

52 in

Step-by-step explanation:

I added all the sides I already know which is 10+5+5+16= 36

then to find the sides we don't know I subtracted part of the side we do know from the full side we do know for example I subtracted 5 from 10 and 5 from 16 to get 5 and 11 as the missing sides then I added those to the 36 so final answer is 52 in

x+11.95≤30

Then x≤30−11.95x≤30−11.95

x≤18.05x≤18.05Answer:

Step-by-step explanation:

Answer:

26600 - 33 = 26566

Step-by-step explanation:

sum

Answer:

17,420

Step-by-step explanation:

you multiply 26,000 by .33 which gets 8,580

then subtract 8,580 from 26000 which is 17420

Answer:

8.9 units

Step-by-step explanation:

[tex] \therefore \: r = \sqrt{ {( - 4 - 0)}^{2} + {( - 2 - 0)}^{2} } \\ \\ \therefore \: r = \sqrt{ {( - 4)}^{2} + {( - 2)}^{2} } \\ \\ \therefore \: r= \sqrt{16 + 4} \\ \\ \therefore \: r= \sqrt{20} \\ \\ \therefore \:2 r= 2 \sqrt{20} \\ \\ \therefore \:2 r=8.94427191 \\ \\ 2r = 8.9 \: \\ \\ diameter \: = 8.9 \: units[/tex]

If you have 60 gal and 5% (12) is being drained per min it will only take 5 mins to drain all the water

I don't know if I solved it the way you needed me to, but I hope it helps

I don't know what the answer choices are so yeah.

Answer:

v = −4/−24x+3

Step-by-step explanation:

Let's solve for v.

3v(1/8−x) = −1/2

Step 1: Factor out variable v.

v(−24x+3/8) = −1/2

Step 2: Divide both sides by (-24x+3)/8.

v(−24x+3/8)/−24x+3/8 = −1/2/−24x+3/8

v=−4/−24x+3

Answer:

Option B

[tex]A'(5,5)[/tex]

[tex]B'(5,1)[/tex]

[tex]C'(2,1)[/tex]

[tex]D'(1,5)[/tex]

[tex]----------[/tex]

hope it helps...

have a great day!!

Answer:

3 3/4

Step-by-step explanation:

3.75 square ft per hr.

5/8 x 6 = 3.75

Answer:

1,400

Step-by-step explanation:

Evaluate for x=2

100(2^3+2^2+2)

=1400

PLZ give me brainliest

Answer:

108 kg for all 6 packages

Step-by-step explanation:

Answer:

=108

Step-by-step explanation:

18 × 6 will give you 108