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2 years ago

Rashad walks 4 miles in 74 minutes. Express his rate as a simplified fraction.

Mathematics

1 answer:

Marianna [84]2 years ago

4 0

Answer:

Step-by-step explanation:

4 miles / 74 minutes simplifies to

2 miles / 37 minutes

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Solve the system of equations. 10y - 11x = -4 - 2y + 3x = 4

dusya [7]

Answer:

(4,4)

Step-by-step explanation:

The intersection point of 10y-11x=-4 and -2y+3x=4 is (4,4) on a graph.

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2 years ago

Urgent pls :

Luden [163]

13/52 + 13/52

26/52

1/2

0.5

50%

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2 years ago

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What is the completely factored form of f(x)=x^3+4x^2+7x+6?

Reptile [31]

we are given

$f(x)=x^3+4x^2+7x+6$

We will use rational root theorem to find factors

We can see that

Leading coefficient =1

constant term is 6

so, we will find all possible factors of 6

$6=\pm 1,\pm 2,\pm 3,\pm 6$

now, we will check each terms

At x=-2:

We can use synthetic division

we get

$f(-2)=0$

so, x+2 will be factor

and we can write our expression from synthetic division as

$f(x)=x^3+4x^2+7x+6=(x+2)(x^2+2x+3)$

$f(x)=(x+2)(x^2+2x+3)$

now, we can find factor of remaining terms

$x^2+2x+3=0$

we can use quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

we can compare our equation with quadratic equation

we get

$a=1,b=2,c=3$

now, we can plug these values

$x=\frac{-2+\sqrt{2^2-4\cdot \:1\cdot \:3}}{2\cdot \:1}$

$x=-1+\sqrt{2}i$

$x=\frac{-2-\sqrt{2^2-4\cdot \:1\cdot \:3}}{2\cdot \:1}$

$x=-1-\sqrt{2}i$

so, we get

$x=-1+\sqrt{2}i,\:x=-1-\sqrt{2}i$

so, we can write factor as

$x^2+2x+3=(x-(-1+\sqrt{2}i))(x-(-1-\sqrt{2}i))$

so, we get completely factored form as

$f(x)=(x+2)(x-(-1+\sqrt{2}i))(x-(-1-\sqrt{2}i))$ ...............Answer

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3 years ago

Write the exact value of 0.428x2.75

bonufazy [111]

the exact value of 0.428x2.75 is 1.177, in order to get this you multiply both number with each other.

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3 years ago

The radius of the base of a metallic rod is 2 centimeters, and its height is 15 centimeters. What is the volume of this cylinder

snow_tiger [21]

Answer:

A) 60π cm³

Step-by-step explanation:

Given:

The radius of the base of a metallic rod is 2 centimetres, and its height is 15 centimetres.

Question asked:

What is the volume of this cylinder?

Solution:

As we know''

$Volume\ of\ cylinder=\pi r^{2} h$

$=\pi \times2\times2\times15\\ \\ =60\pi$

Therefore, the volume of this cylinder will be $60\pi\ cm^{3}$

3 0

2 years ago

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