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3 years ago

Simplify the expression -10n-2n

Mathematics

1 answer:

creativ13 [48]3 years ago

7 0

Subtract 2n from -10n to get -12n
-12n

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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:

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

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

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

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

6 0

1 year ago

Select the correct answer from each drop-down menu.A carpenter is building a triangular frame. She has three pieces of wood meas

yaroslaw [1]

Explanation

Answer:

The carpenter can build the triangular frame by cutting the 12 foot piece by 2foot

8 0

1 year ago

An online retailer collects 7% sales tax. If the sub total of the purchase is $76.00, then how much is collected for sales tax?

jok3333 [9.3K]

The collected tax on purchase of $76.00 is $5.32

Further explanation:

The sales tax is calculated on the total sales by the formula

$Tax = total * \frac{7}{100}$

Given

Total purchase = $76.00

Percentage of tax = 7%

So,

Putting the values in the formula

$Tax\ amount = 76.00 * \frac{7}{100}\\= 5.32$

So, the collected tax on purchase of $76.00 is $5.32

Keywords: Tax, tax calculation

Learn more about tax calculation at:

#LearnwithBrainly

3 0

3 years ago

70x 6,000 as associative

Vinvika [58]

Answer:

70 x 6000 = 6000 x 70

Explanation:

The associative of multiplication means the items can be regrouped without changing the answer: a(bc) = (ab)c. This means 70 x 6000 = 70 x 6 x 1000.

5 0

3 years ago

If f(x)=-2x-3 what is f(r+2) ?

fiasKO [112]

Answer:

$f(x) = - 2x - 3$

when x is r + 2 :

$f(r + 2) = - 2(r + 2) - 3 \\ = - 2r - 4 - 3 \\ = - 2r - 7 \\ \\ { \boxed{ \boxed{f(r + 2) = - 2r - 7}}}$

4 0

3 years ago