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SCORPION-xisa [38]
2 years ago
6

Solve

x)x^{-2}=" alt="(\frac{1}{4} x)x^{-2}=" align="absmiddle" class="latex-formula">___/x^{2}
Plz
Mathematics
1 answer:
never [62]2 years ago
5 0

Answer:

Step-by-step explanation:

a^{-m}=\frac{1}{a^{m}}

(\frac{1}{4}x)x^{-2}=\frac{\frac{1}{4}x}{x^{2}}

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In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .
IgorLugansk [536]
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

The quadratic function f(x)=2x^22-8x-10 represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set x=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

8 0
3 years ago
What is 5/8 times 24hours
max2010maxim [7]
The answer is 5/8 x 24 is equal to 15 hours
8 0
3 years ago
How to find and discover what is m∠A?
vodka [1.7K]

Answer: 113, 57, and 66

Step-by-step explanation:

The sum of all of the interior angles can be found using the formula S = (n - 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

6 0
3 years ago
If on January 1,2015 you decide to read one thousand and one night over the next 1,001 night an which date would you finally fin
SVETLANKA909090 [29]
Starting January 1, 2015, there are 364 remaining nights.
From 1,001 nights, it will be 637 nights left.

In 2016, there are 366 nights. Subtract it to 637 nights left, you will get 271 nights left.
In 2017, 271 is lesser than 365.
From January to August, the nights left is 28.
<span>
So the date will be September 28, 2017.</span>
6 0
3 years ago
Maya and Mabel are inspecting an 80:1 scale floor plan of their new house. The dimensions of the living room on the scaled floor
AveGali [126]

Answer:

208 ⅓ ft²

Step-by-step explanation:

1⅞ = 15/8 inches ÷ 12

= 5/32 feet on map

Actual = 5/32 × 80

= 25/2 feet

2½ = 5/2 inches ÷ 12

= 5/24 feet on map

Actual = 5/24 × 80 = 50/3

Actual area:

25/2 × 50/3

= 625/3 ft²

= 208 ⅓ ft²

4 0
3 years ago
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