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stellarik [79]
3 years ago
11

(3 − 13x − 7x2) − (5x2 + 12x − 10)

Mathematics
2 answers:
Brums [2.3K]3 years ago
5 0
113 is the answer hope i help u
goblinko [34]3 years ago
4 0

Answer:

- 12x^2 - 25x +13

Step-by-step explanation: (3 -13x -7x2)-(5x2 +12x -10)   multiply the entire second term by negative one

3 - 13x -7x^2 -5x^2 -12x +10   combine like terms

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Solve the equation without the use of a calculator. please Help!!! Thank you!!!<br> 12x^3-30x=5-2x^2
nata0808 [166]

So, since we have a cubic equation with 4 terms, the first thing we should try is factoring by grouping, so:

12x^3+2x^2-30x+5 =0 \implies \\ 2x^2(6x+1)-5(6x+1)=0 \implies \\ (2x^2-5)(6x+1) = 0

Now that we've factored our equation, we can use ZPP and break it up:

2x^2-5 = 0 \implies \\ 2x^2=5 \implies\\ x^2=\frac{5}{2} \implies\\ x=\pm\frac{\sqrt{5}}{\sqrt{2}}=\pm\frac{\sqrt{10}}{2} \\ \\ 6x+1 =0 \implies \\ 6x=-1 \implies\\ x=\frac{-1}{6}

So, our solutions are:

x\in \{\frac{\sqrt{10}}{2},-\frac{\sqrt{10}}{2},-\frac{1}{6}\}

4 0
3 years ago
Consider a parabola P that is congruent to y=x^2, opens upward, and has vertex (0,0). Find the equation of a new parabola that r
slega [8]

9514 1404 393

Answer:

  y = -(x+1)^2 +3

Step-by-step explanation:

Translating f(x) left by 1 unit replaces x with x+1.

Translating f(x) up by 3 units replaces f(x) with f(x)+3.

Reflecting f(x) over the x-axis replaces f(x) with -f(x).

__

When y = x^2 is reflected over the x-axis, it becomes ...

  y = -x^2

When y = -x^2 is translated 1 unit left, it becomes ...

  y = -(x +1)^2

When y = -(x+1)^2 is translated 3 units up, it becomes ...

  y = -(x +1)^2 +3

7 0
3 years ago
If Sarah walked 5 kilometers this weekend, about how many miles did she walk
Harrizon [31]
She walked 3.107 miles
4 0
3 years ago
Of the 22 students in the class, 16 of them are boys.
Eddi Din [679]
22 students...16 boys

probability student will be a boy is 16/22 which reduces to 8/11 or 72.7%
6 0
3 years ago
What is the volume of this rectangular prism?
nika2105 [10]

Answer:

The volume of this rectangular prism is D. 60cm^{3}.    

Step-by-step explanation:

In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...

V = l × w × h    

(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).

Now we just substitute the values into the formula and we get...

V = l × w × h    

V = 4cm × 3cm × 5cm

V = 60cm^{3}

Therefore, the volume of this rectangular prism is D. 60cm^{3}.    

6 0
3 years ago
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