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3 years ago

What is the following product

Mathematics

1 answer:

dangina [55]3 years ago

3 0

Option B is correct.

Step-by-step explanation:

We need to solve: $\sqrt[3]{x^2}\sqrt[4]{x^3}$

We know that: $\sqrt[n]{x}\sqrt[b]{x} =\sqrt[n*b]{x.x}= \sqrt[n*b]{x^2}$

Applying the above rule:

$\sqrt[3]{x^2}\sqrt[4]{x^3}\\=\sqrt[3*4]{x^2.x^3}\\=\sqrt[12]{x^5}$

So, Option B is correct.

Keywords: Solving with Exponents

Learn more about Solving with Exponents at:

#learnwithBrainly

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1,352 pounds is what fraction short of a ton?

Aleksandr [31]

$A \ short \ ton \ is \ 2 \ 000 pounds \\ \\\frac{1 \ 352}{2 \ 000} = \frac{169}{250} \ \ \ | divided \ numerator \ and \ denominator \ by \ 8 \\ \\ \\ Answer : \ A) \ \ \frac{ 169}{250 }$

4 0

3 years ago

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This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

creativ13 [48]

Answer:

Part a) The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

$f(x)=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

$f(x)=a(x-2)^2-8$

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

$0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2$

therefore

The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

$f(x)=a(x-x_1)(x-x_2)$

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

$f(x)=a(x-0)(x-4)$

$f(x)=ax(x-4)$

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

$-8=a(2)(2-4)\\-8=-4a\\a=2$

therefore

The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

4 0

3 years ago

I have one third gallon of juice and one sixth gallon. How many more gallons is need to make three gallons

charle [14.2K]

Answer:

2.5 gallons

Step-by-step explanation:

Make the denominators of the fractions the same and combine them

$\frac{1}{3} =\frac{2}{6}$

$\frac{2}{6} +\frac{1}{6} =\frac{3}{6}$

Then simplify the fraction

$\frac{3}{6} =\frac{1}{2}$

Then subtract how many gallons you have from how many you want

$3 -\frac{1}{2} = 2\frac{1}{2}$

You will need 2.5 gallons to make 3 gallons

3 0

2 years ago

1+4=5 2+5=12 3+6=21 8+11=?

MariettaO [177]

Oh, I SEE what da pattern is! =D
You see, like in this problem:
2 + 5 = 12
They did 5 times 2 = 10, plus da 2 in da problem = 12.
Same with 3 + 6 = 21, 6 times 3 = 18, 18 plus da 3 given in da problem = 21.
Just like 1 + 4 = 5, 4 times 1 = 4, plus da 1 in da problem = 5.
SO,
with that strategy, 8 +11 = 96, because 8 times 11 = 88, plus da 8 given in da problem = 96.
I hope I helped! =D

6 0

2 years ago

All equilateral triangles are isosceles? A. True B. False

Maru [420]

Answer:

A. true

Step-by-step explanation:

7 0

3 years ago

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