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3 years ago

Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.

Mathematics

1 answer:

Sonbull [250]3 years ago

4 0

Answer:

Step-by-step explanation:

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Please help me, im struggling

Molodets [167]

Part 1

$f(a)=4-7a+16a^2$

Part 2

$f(a+h)=4-7(a+h)+16(a+h)^2\\\\=4-7(a+h)+16(a^2 +2ah+h^2)\\\\=4-7a-7h+16a^2 +32ah+16h^2$

Part 3

$\frac{f(a+h)-f(a)}{h}=\frac{(4-7a-7h+16a^2 +32ah+16h^2-(4-7a+16a^2)}{h}\\\\=\frac{-7h+32ah+16h^2}{h}\\\\=32a+16h-7$

7 0

2 years ago

7x-3=-3+7x show your work

Nuetrik [128]

So what you need to do is to put X alone so what you do is +3 on both sides so only 7x=7x is left. then do the opposite and divide 7 with 7 you get 1x thats your answer

8 0

3 years ago

WILL GIVE BRAINIEST NEED HELP ASAP DUE IN 10 MINS

tensa zangetsu [6.8K]

Answer:

Scientist B

Step-by-step explanation:

1 kg = 2.2 lbs

1L = 2.11 pints

So let's convert Scientist B's data.

3.0lbs salt = 3.0/2.2 = 1.36kg

6 pints water = 6/2.11 = 2.84L water

Scientist A

1kg salt

3.0L water

We now figure out the concentration of salt in water.

Scientist A Scientist B

1kg/3.0L = .33kg/L 1.36kg/2.84L = .48kg/L

So scientist B had a more concentrated solution.

5 0

3 years ago

Read 2 more answers

14.8 = n minus 0.3 n = negative 15.1 n = negative 14.5 n = 14.5 n = 15.1

dlinn [17]

Hello!

14.8 = n - 0.3

n - 0.3 = 14.8

n = 14.8 + 0.3

n = 15.1 → value of n

Good luck! :)

4 0

3 years ago

What is the solution to sqrt 17-x=x+3? Show your work.

snow_lady [41]

Answer:

$x=1$

Step-by-step explanation:

Remember:

$(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2$

Given the equation $\sqrt{17-x}=x+3$ , you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

$(\sqrt{17-x})^2=(x+3)^2$

$17-x=(x+3)^2$

Simplifying, you get:

$17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0$

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

$(x-1)(x+8)=0$

Then:

$x_1=1\\x_2=-8$

Let's check if the first solution is correct:

$\sqrt{17-(1)}=(1)+3$

$4=4$ (It checks)

Let's check if the second solution is correct:

$\sqrt{17-(-8)}=(-8)+3$

$5\neq-5$ (It does not checks)

Therefore, the solution is:

$x=1$

3 0

3 years ago