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3 years ago

This question is 20 Points and will mark brainliest

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

sqrt(x) ≤1

Square each side

x ≤1

But we have to look at the limit on the square root

We know that square root must be greater than or equal to zero so x ≥0

0 ≤x ≤1

olchik [2.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

sqrt(x)《 1

x《 1

x 》0

Because its under the radical

0《 x《 1

You might be interested in

What is 10/8 in simplest form

aliya0001 [1]

10/8 in simplest form:

First, we can start off by finding the GCF of the denominator and the numerator. To do so, we need to list the factors of each of them and find the common ones.

Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8

We can see that our common factors are 1 and 2, considering that both the numerator and denominator has the same factors (1 and 2). Since we have our common factors, we need to find the greatest. Which is the greatest out of 1 and 2? The GCF is 2 because it is bigger than 1.

Second, divide the numerator and the denominator by the GCF (2).
$10 \div 2 = 5 \\ 8 \div 2 = 4$

Third, now we can revise our fraction and turn it into the simplest form. Take the two numbers you just got above us and put them in their numerator and denominator spot. You should get: $\frac{5}{4}$

Answer in fraction form: $\fbox {5/4}$
Answer in decimal form: $\fbox {1.25}$
Answer in mixed number form: $\fbox {1 1/4}$

4 0

3 years ago

Read 2 more answers

I HAVE ASKED THIS TWICE NOW YOU GUYS!! SOMEONE PLEASE HELP ME I REALLY NEED HELP PLEASE THIS IS A VERY IMPORTANT TEST I WILL GIV

lubasha [3.4K]

Ok so 12 in. = 1ft
210 in = 17.5 ft
35 in = about 2.9 ft
17.5/2.9 = approximately 6 ft.
I think the answer is 6 ft
At the same time 210/35 = 6, which would make the length 6 in., because area equals base times height, so you just divide, which would make it 1/2ft.
I would go with 6 in.

8 0

3 years ago

1.) Find the length of the arc of the graph x^4 = y^6 from x = 1 to x = 8.

xxTIMURxx [149]

First, rewrite the equation so that y is a function of x :

$x^4 = y^6 \implies \left(x^4\right)^{1/6} = \left(y^6\right)^{1/6} \implies x^{4/6} = y^{6/6} \implies y = x^{2/3}$

(If you were to plot the actual curve, you would have both $y=x^{2/3}$ and $y=-x^{2/3}$ , but one curve is a reflection of the other, so the arc length for 1 ≤ x ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)

The arc length is then given by the definite integral,

$\displaystyle \int_1^8 \sqrt{1 + \left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx$

We have

$y = x^{2/3} \implies \dfrac{\mathrm dy}{\mathrm dx} = \dfrac23x^{-1/3} \implies \left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2 = \dfrac49x^{-2/3}$

Then in the integral,

$\displaystyle \int_1^8 \sqrt{1 + \frac49x^{-2/3}}\,\mathrm dx = \int_1^8 \sqrt{\frac49x^{-2/3}}\sqrt{\frac94x^{2/3}+1}\,\mathrm dx = \int_1^8 \frac23x^{-1/3} \sqrt{\frac94x^{2/3}+1}\,\mathrm dx$

Substitute

$u = \dfrac94x^{2/3}+1 \text{ and } \mathrm du = \dfrac{18}{12}x^{-1/3}\,\mathrm dx = \dfrac32x^{-1/3}\,\mathrm dx$

This transforms the integral to

$\displaystyle \frac49 \int_{13/4}^{10} \sqrt{u}\,\mathrm du$

and computing it is trivial:

$\displaystyle \frac49 \int_{13/4}^{10} u^{1/2} \,\mathrm du = \frac49\cdot\frac23 u^{3/2}\bigg|_{13/4}^{10} = \frac8{27} \left(10^{3/2} - \left(\frac{13}4\right)^{3/2}\right)$

We can simplify this further to

$\displaystyle \frac8{27} \left(10\sqrt{10} - \frac{13\sqrt{13}}8\right) = \boxed{\frac{80\sqrt{10}-13\sqrt{13}}{27}}$

7 0

3 years ago

PLEASE HELP! WILL GIVE BRAINLIEST!

Anton [14]

Answer:

Graph the function and its parent function. Then describe the transformation. 7.9(x) = x + 4. 8. f(x) = x - 6. 4. 8 x. -4. 48 x ... Write a function g whose graph represents the indicated transformation of the graph of f. ... 96)= 14x+31+2 -2 = 14x+3| ... 33. f(x) = x; translation 3 units down followed by a vertical shrink by a factor of.

Step-by-step explanation:

Hope this helps!

6 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST download pdf to see question

Vladimir [108]

Answer:

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4 0

2 years ago