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Slav-nsk [51]
3 years ago
8

The graph of quadratic function g is shown on the grid. the coordinates of the x-intercepts, the y-intercept, and the vertex are

integers. What is the maximum value of g? A) (0, - 8) B) (- 4, 0) C) (- 3, 1) D) (- 2, 0

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0
C) (-3, 1) is the answer

The maximum value is the highest point.
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Find the value of the integral that converges.<br> ∫^-5_-[infinity] x^-2 dx.
Bingel [31]

Answer:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

Step-by-step explanation:

For this case we want to find the following integral:

\int_{-\infty}^{-5} x^{-2}dx

And we can solve the integral on this way:

\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}

\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}

And if we evaluate the integral using the fundamental theorem of calculus we got:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

8 0
3 years ago
Is 1/4 greater than , less than , or equal to 0.4...
nata0808 [166]
¼ is equal to 0.25 because when you times by 4 you get a whole :)
4 0
3 years ago
Which of the following expressions is equal to 5^6/5^2? A) 5 • 5 • 5 • 5 B) 5 • 5 • 5 C) 1/5•5•5•5 D) 3
lana66690 [7]

Step-by-step explanation: To simplify, we will apply the <em>Quotient Rule</em>.

The 5's in this problem are bases so as you apply the quotient rule,

subtract the exponents but leave the base alone to get 5⁴.

We can also write 5⁴ as 5 · 5 · 5 · 5.

6 0
3 years ago
F - 3/4=5/6. Please answer soon thanks
ad-work [718]
F - 3/4 = 5/6
Add 3/4 to both sides to get
F = 5/6 + 3/4 = 19/12
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3 years ago
A home appliance salesperson wants to earn a total of 3,600 next mouth including his base salary and commissions. He earns a bas
jenyasd209 [6]

$14,000 each month

$14,000 × 20% = $2800

$2800 + $800 = $3600

3 0
3 years ago
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