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3 years ago

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You spend $11 on school supplies. You purchase pencils of $0.25 each and pens for $2 each. You purchase a total of 30 pencils an

d pens. How many of each did you purchase? A. Identify your variable(s) B. Write the equation(s) C. Solve the equation

1 answer:

Klio2033 [76]3 years ago

5 0

28 pencils and 2 pens

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Rewrite the function by completing the square (vertex form)<br><br> f(x)=x^2+16x-46

insens350 [35]

Answer:

$\large\boxed{f(x)=(x+8)^2-110}$

Step-by-step explanation:

$\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\f(x)=x^2+16x-46=x^2+2(x)(8)-46=x^2+2(x)(8)+8^2-8^2-46\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\to x^2+2(x)(8)+8^2=(x+8)^2\\\\f(x)=(x+8)^2-64-46=(x+8)^2-110$

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2 years ago

Estimate 6.1 DIVIDED 8

jenyasd209 [6]

<span>Estimate 6.1 DIVIDED 8
When you say estimate, meaning you have to round off the decimal to its nearest whole number to solve it easily
=> 6.1 = 6
=> 6 / 8 = 0.75 is the quotient of the given equation.</span>

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3 years ago

Read 2 more answers

A rectangular lamina of uniform density is situated with opposite corners at (0,0) and (15,4). calculate its radii of gyration a

Sphinxa [80]

First, you have to find the moment of inertia along the x and y axes. Constant density is denoted as k.

$I_{x}= \int\limits^15_0\int\limits^4_0 {k y^{2} } \, dx dy= \frac{1}{3}k (15-4)^4=4880.33k$

$I_{y}= \int\limits^15_0\int\limits^4_0 {k x^{2} } \, dx dy= \frac{1}{3}k (15-4)^4=4880.33k$

Then, the radii of gyration for

x = √[I_x/m]
y = [I_y/m]

where m = k(15-4)² = 121k. Then,

x = y = [4880.33k/121k] = 40.33

I hope I was able to help you. Have a good day.

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3 years ago

Please need help, Will give brainiest!!!!

timurjin [86]

I'd say its D but im not quite sure, its what makes most sense to me.

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2 years ago

If there are 16 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made. They alrea

Rzqust [24]

All of possible ratios of boys to girls that could be made is 8:16; 4:8; 2:4; 1:2
Hope it helps, Brainliest if it <3

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2 years ago