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3 years ago

Jeffery walked 1/3 mile on Monday and jogged 4/5 mile on Tuesday. How far did he wal and jog on Monday and Tuesday combined

Mathematics

1 answer:

beks73 [17]3 years ago

6 0

Answer:

17/15

Step-by-step explanation:

Find the GCF of the denominators

Convert the fractions

1/3 ---> 5/15

4/5 ---> 12/15

Add.

12/15 + 5/15 = 17/15

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A local company rents a moving truck for $750 plus $0.59 per mile driven over 1000 mi. What is the maximum number of miles the t

Annette [7]

Answer:

423 miles and that was found by subtracting 750 from 1000 and dividing that by 0.59

4 0

3 years ago

Find the fourth-degree polynomial function with zeros 4, -4, 4i , and -4i . Write the function in factored form.

Iteru [2.4K]

Given:

A fourth-degree polynomial function has zeros 4, -4, 4i , and -4i .

To find:

The fourth-degree polynomial function in factored form.

Solution:

The factor for of nth degree polynomial is:

$P(x)=(x-a_1)(x-a_2)...(x-a_n)$

Where, $a_1,a_2,...,a_n$ are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4, -4, 4i , and -4i. So, the factor form of given polynomial is:

$P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))$

$P(x)=(x-4)(x+4)(x-4i)(x+4i)$

$P(x)=(x-4)(x+4)(x^2-(4i)^2)$ $[\because a^2-b^2=(a-b)(a+b)]$

On further simplification, we get

$P(x)=(x-4)(x+4)(x^2-4^2i^2)$

$P(x)=(x-4)(x+4)(x^2+16)$ $[\because i^2=-1]$

Therefore, the required fourth degree polynomial is $P(x)=(x-4)(x+4)(x^2+16)$ .

6 0

3 years ago

4th grade math please help

tiny-mole [99]

Answer:

Number one is D and Number 3 is also D

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The radius of this ball is 15 inches. Which equation gives the ball's surface area, in square inches?

victus00 [196]

Answer:

$\large\boxed{S.A.=4500\pi\ in^2\approx14130\ in^2}$

Step-by-step explanation:

The formula of a surface area of a ball (sphere):

$S.A.=\dfrac{4}{3}\pi R^3$

R - radius

We have R = 15in. Substitute:

$S.A.=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3375)=4500\pi\ in^2$

If you want to get an approximation, then:

$\pi\approx3.14\\\\S.A.\approx(4500)(3.14)=14130\ in^2$

5 0

3 years ago

The linear equation when b= 5 and m = -2 is O y = 5x – 2. Oy= 5x + 2. y = -2x - 5. O y = -2x + 5

blondinia [14]

Answer:

y = -2x + 5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define given

y-intercept b = 5

Slope m = -2

Step 2: Write function

y = -2x + 5

5 0

3 years ago