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3 years ago

Help with polynomials

Mathematics

2 answers:

Mrac [35]3 years ago

8 0

$(10x^2 + 5x + 3) + (2x^2 - 7x + 5) \\ \\ 10x^2 + 5x + 3 + 2x^2 - 7x + 5 \\ \\ (10x^2 + 2x^2) + (5x - 7x) + 3 + 5 \\ \\ 12x^2 - 2x + 3 + 5 \\ \\ 12x^2 - 2x + 8 \\ \\$

The answer is: 12x² - 2x + 8.

finlep [7]3 years ago

7 0

(10x^2+5x+3)+(2x^2-7x+5)
Add 10x^2 and 2x^2=12x^2
Subtract 7x from 5x=-2x
Add 3 and 5=8

Final Answer: 12x^2-2x+8

Hope this helps! :)

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Whoever checks my work and tell what I did wrong and the right answer will

gulaghasi [49]

Answer:

See below

Step-by-step explanation:

I believe that you only had to do letters F, H, and J. In that case, let's go over each one!

F: For isolating $d_{1}$ , we need to get rid of the 1/2 first. Let's multiply each side by 2:

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After this, we just subtract $d_{2}$ from each side to get $d_{1}=2m- d_{2}$ . Dark Blue is correct! Let's now plug in those numbers below:

$d_{1}=2(10)- 13 = 20-13=7$

G: Let's isolate the vw^2 on one side by subtracting y from each side:

$vw^{2} +y-y=x-y\\vw^{2}=x-y$

Let's now divide each side by v, then put each side under a square root to get our final answer:

$\frac{vw^2}{v} = \frac{x-y}{v}\\ w^2 = \frac{x-y}{v}\\\sqrt{w^2} = \sqrt{\frac{x-y}{v}} \\w=\sqrt{\frac{x-y}{v}}$

Orange is correct! Again, let's solve the problem underneath:

w= $w=\sqrt{\frac{38-(-7)}{5}} = \sqrt{\frac{38+7}{5}} = \sqrt{\frac{45}{5}}=\sqrt{9}=3$

H: This one has some stuff that we haven't worked with quite yet (like terms), but our approach is the same: isolate c on one side of the equation.

$2a-2a+3c=17a-2a+21\\3c = 15a+21\\\frac{3c}{3} = \frac{15a+21}{3}\\c = \frac{15a}{3}+ \frac{21}{3} \\c = 5a+7$

Purple is correct! Let's solve the problem:

$c = 5(\frac{16}{5})+7 = 16+7 = 23$

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