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2 years ago

Write the sum of 5x2+2x−10 and 2x2+6 as a polynomial in standard form.

Mathematics

1 answer:

rosijanka [135]2 years ago

7 0

Answer:

7x² + 2x - 4

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

(5x² + 2x - 10) + (2x² + 6)

Step 2: Simplify

Combine like terms (x²): 7x² + 2x - 10 + 6
Combine like terms (Z): 7x² + 2x - 4

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Solve the system by the substitution method.

Ghella [55]

Answer:

A) The solution set is (6,-8).

Step-by-step explanation:

3x - y = 26

-3x - 3x Subtract 3x from both sides

-y = -3x + 26 Divide both sides by -1

y = 3x - 26

Now plug this into 7x + 8y = -22 to solve for x

7x + 8(3x - 26) = -22 Distribute

7x + 24x - 208 = -22 Combine like terms

31x - 208 = -22

+ 208 + 208 Add 208 to both sides

31x = 186 Divide both sides by 31

x = 6

Plug this into y = 3x - 26 to solve for y

y = 3(6) - 26 Multiply

y = 18 - 26 Subtract

y = -8

If this answer is correct, please make me Brainliest!

8 0

2 years ago

An angle measures 78° more than the measure of its supplementary angle. What is the measure of each angle?

Sergeu [11.5K]

Answer:

Angle 1 would be 168 and the other would be 12.

Step-by-step explanation:

5 0

2 years ago

Can somebody please help me???

matrenka [14]

Answer: B

Step-by-step explanation:

Domain is x values

Range is y values

Domain you look from left to right. You can see it starts at -3, and it goes all the way to 2. NOT 4 BUT 2!! Since we are looking at the X.

Range.. WE ARE LOOKING AT THE LOWEST POINT!! LOWEST POINT FIRST!1 I cannot stress enough. The lowest y-value is -2, and it's maximum point is 4!

REMEMBER:

DOMAIN = X LEFT TO RIGHT

RANGE= Y LOWEST POINT TO HIGHEST

8 0

2 years ago

Read 2 more answers

A conical vessels with base radius 5 cm and height 24cm is full of water this water is emptied into a cylindrical vessel of base

Aliun [14]

Answer:

$2\ cm$

Step-by-step explanation:

$We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224= \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h$

$As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel$

$Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm$

8 0

2 years ago

The domain of the following relation has how many elements?

Ivahew [28]

Answer:

b. 1

Step-by-step explanation:

All first coordinates are 1/2.

Answer: b. 1

5 0

2 years ago