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3 years ago

Estimate the sum 265 + 436

2 answers:

6 0

We can estimate it by rounding the numbers. 265 is about 250, and 436 is about 450. Add the two and you get 700, which is really close to the actual answer.

mihalych1998 [28]3 years ago

5 0

The answer is 701!

Good enough?

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Valentin [98]

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3 0

3 years ago

Read 2 more answers

Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

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1 year ago

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irinina [24]

Answer:

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3 years ago

Which of the following represents the factorization of the trinomal below

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I believe B. is your answer. If you use the ac method, you will multiply 8 and 3 which is 24. So now, what factors of 24 will give you 10?6 and 4

Now substitute

$8 {x}^{2} + 4x + 6x + 3$
Now do factorization by grouping.

$4x(2x + 1) + 3(2x + 1)$
Therefore, your answer is (4x+3)2x+1)

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3 years ago

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77julia77 [94]

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3 years ago