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2 years ago

The graph of a linear function is shown.Which word describes the slope lf the line?

Mathematics

1 answer:

Aloiza [94]2 years ago

6 0

ANSWER:
A. Positive

STEP BY STEP EXP:
since the line is rising, (going up to the right), it would be positive. Here’s a reference.
Positive: rising (going up to the right)
Negative: falling (going down to the left)
Zero: horizontal line (going straight left to right)
Undefined: vertical line (going straight up and down)

hope this helped!!

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Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in function notation with x

Marta_Voda [28]

Answer:

A. f(x) = 6x + 9

Step-by-step explanation:

The given equation is:

y - 6x - 9 = 0

We have to write this equation in function notation with x as the independent variable. This means that y will be replaced by f(x) and all other terms will be carried to the other side of the equation to get the desired function notation.

y - 6x - 9 = 0

y = 6x + 9

f(x) = 6x + 9

Therefore, option A gives the correct answer.

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2 years ago

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The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.

vova2212 [387]

Answer: the coomon factor that is missing from both sets of parentheses is 2x + 7.

Explanation:

These are the steps to factor the polynomial with the reasons that justify them:

Step Reason

1. 10x³ + 35x² - 4x - 14 Given

2. (10x³ + 35x²) - (4x + 14) Group the terms

3. 5x² (2x + 7) - 2 (2x + 7) Common factor 5x² and 2

After this, you extract common factor 2x + 7 and have the complete factored polynomial: (2x + 7) (5x² - 2).

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2 years ago

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Frank bought 9/10 of a yard of fabric. He will need 2/7 of a yard to make a small pillow. How many pillows will he be able to ma

Mrac [35]

Step-by-step explanation:

answer is 1 and 13 over 70

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2 years ago

Determine the 20th derivative of y = sin(2x).

snow_lady [41]

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4 0

2 years ago

It takes a ship 4 hours to cover 420 km with the current and 6 hours against the current. Find the speed of the ship in still wa

KiRa [710]

Let s be the speed of the ship, and c be the speed of the current.

We know that distance equals speed multiplied by the time.

With the current
$\left(s+c\right)\left(4\:hours\right)=420\:km$
or
$s+c=105$
This is our first equation.

Now, against the current, we have
$\left(s-c\right)\left(6\right)=420$
or
$s-c=70$
This is our second equation.

We solve the equations simultaneously, by adding them together
$2s-0c=175$

$s=87.5\:km/hr$

Substitute s=87.5 to the first equation to solve for c.
$87.5+c=105$

$c=17.5\:km/hr$

The speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr.

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