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Crank
3 years ago
9

Which expression shows the result of applying the distributive property to −2(13x−15)−2(13x−15) ?

Mathematics
2 answers:
finlep [7]3 years ago
8 0

Answer:

Option A is correct.

-\frac{2}{3}x +\frac{2}{5}

Step-by-step explanation:

Given that: -2(\frac{1}{3}x-\frac{1}{5})        .....[1]

The distributive property says that:

a\cdot (b+c) = a\cdot b + a\cdot c

Apply the distributive property in equation [1] we get;

-2 \cdot \frac{1}{3}x + 2 \cdot \frac{1}{5}

Simplify:

-\frac{2}{3}x +\frac{2}{5}

Therefore, the expression that shows the result of applying the distributive property to  -2(\frac{1}{3}x-\frac{1}{5}) is, -\frac{2}{3}x +\frac{2}{5}

defon3 years ago
3 0
D is the answer good luck

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A company logo is shaped like an equilateral triangle with 2-in.-long sides. What is the height of the logo? Round to the neares
deff fn [24]

Answer:

B. 1.7 in

Step-by-step explanation:

Divide the triangle into 2 congruent right angle triangles

With hypotenuse: 2

Base: 2/2 = 1

Using pythagoras theorem

2² = 1² + h²

h² = 3

h = sqrt(3)

h = 1.732050808

6 0
3 years ago
Read 2 more answers
What is the equation of the oblique asymptote?<br> h(x) = x² – 3x - 4/x + 2
NNADVOKAT [17]

Simplifying h(x) gives

h(x) = (x² - 3x - 4) / (x + 2)

h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)

h(x) = ((x + 2)² - 7x - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)

h(x) = (x + 2) - 7 - 22/(x + 2)

h(x) = x - 5 - 22/(x + 2)

An oblique asymptote of h(x) is a linear function p(x) = ax + b such that

\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0

In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.

4 0
2 years ago
What is 1/4 in feet?
Readme [11.4K]

Answer:

0.25 feet

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3 inches

Step-by-step explanation:

Not really a clear question-

6 0
2 years ago
Solve x2 − 10x = −13.
aev [14]

Answer:

B

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial x^{2}-10x+13. We can now use the quadratic formula to solve.

Remember that the quadratic formula is

\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}

Substitute the numbers from the equation into the formula.

\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}

Simplify:

\frac{10+/-\sqrt{100-52} }{2}

\frac{10+/-\sqrt{48} }{2}

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with 5+/-\sqrt{48}.

Hope this helps!

6 0
2 years ago
What is the inverse of the function f(x) = 8x+1
Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

Or

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".

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y = 8x + 1        

<u>Switch the "x" and "y" variables</u>

x = 8y + 1

<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting

8y + 1 = x            

8y + 1 - 1 = x - 1               Subtract 1 from both sides

8y = x - 1

\frac{8y}{8}=\frac{x-1}{8}        Divide both sides by 8 and simplify

y=\frac{x-1}{8}                  Inverse equation

y=\frac{1}{8}x-\frac{1}{8}             Slope-intercept form

<u>Use function notation</u>, change "y"

f^{-1}(x)=\frac{x-1}{8}                      Simplified

f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}                   Slope-intercept form

6 0
3 years ago
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