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2 years ago

8

Rachel rode her bike for one-fifth of a mile on Monday and two-fifths of a mile on Tuesday. How many miles did she ride altogeth

er?

2 answers:

nlexa [21]2 years ago

8 0

3/5

I'm not sure tho sorry

disa [49]2 years ago

4 0

Answer:

3/5

Step-by-step explanation:

1/5 + 2/5 = 3/5

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Whats 0.4 as a percentage?

Yanka [14]

.4 as a percentage is 40%

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2 years ago

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Triangle JKL is a right triangle. What is the length of JK?

kari74 [83]

I would go with

G: 4 cm

Or

J: 8 cm

Let me know if you get it correct! :)

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3 years ago

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Procedure for this problem -8+(-24)

lana66690 [7]

Answer: - 32

Step-by-step explanation:

-8 + (-24)

Infront of the Positive is a one.

-8 +1 (-24)

If we follow order of operations which is parentheses, exponents, multiply divide, add, and subtract, we can see we need to multiply/ distribute first. And a positive times a negative is a negative.

-8 -24

Now we put the two numbers together.

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This is the answer

6 0

2 years ago

1. Make sure your answers and work is SHOWN please and steps are in order.

JulijaS [17]

Been a while since I've done synthetic division.

1a. Let's assume that's supposed to be an equals sign

p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6

possible rational roots have factors of 6 in the numerator and of 2 in the denominator. We'll only worry about negative numerators.

Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6

Factors of 2: 1,2

Possible rational roots:

(dividing by 1:) 1,-1,2,-2,3,-3,6,-6

(dividing by 2:) 1/2, -1/2 (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2

Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2

Synthetic division, trying x=1,

1 | 2 -3 -6 5 6

2 -1 -7 -2

2 -1 -7 -2 4

Got a remainder of 4, so 1 isn't a root;

Trying x=-1

-1 | 2 -3 -6 5 6

-2 5 1 -6

2 -5 -1 6 0

Zero remainder, found a root, x=-1. This division says

(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6

Same set of rational roots on the cubic, we continue with x=2

2 | 2 -5 -1 6

4 -2 -6

2 -1 -3 0

Another zero remainder, x=2 is a root. We're left with 2x² - x - 3 = 0, which factors as

(2x - 3)(x + 1) = 0

That's a second factor of x+1. Our final factorization is

2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)

Fourth degree with a positive leading coefficient so goes to +infinity at both ends. Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.

I'll leave the actually sketching and the other two polynomials to you -- that took some time.

4 0

3 years ago

Brock is a plumber. He charges a flat rate of $40 to visit a house to inspect its plumbing. He charges an additional $20 for eve

GalinKa [24]

Let x = hours of service.
Let y = total charges for x hours
The fixed charge is $20.
The charge per hour is $20.

Brock's charges for x hours is
y = 40 + 20x

This is a straight line with slope = 20 and y-intercept = 40.
The correct graph is W.

Answer: W

8 0

2 years ago