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scoray [572]
3 years ago
15

If f(x) = 1 + x2 and g(x) = 1-, which is the rule of function (f-)(x)?

Mathematics
1 answer:
STatiana [176]3 years ago
8 0

Answer:

= -x^2 +x    

Step-by-step explanation:

(x) = 1 - x^2

g(x) = 1-x,

(f-g)(x) = 1-x^2 - ( 1-x)

Distribute the minus sign

          = 1-x^2 -1 +x

  Combine like terms

          = -x^2 +x    

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"select all the numbers that are solutions to the equation x^3=27"
Ymorist [56]
B and C

3^3 = 27
the cubed root of 27 is 3
4 0
3 years ago
What are the slope and why intercept shown on the graph below
viktelen [127]
Hello!

Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:

\frac{ y_{1}- y_{2}  }{ x_{1} - x_{2} }

The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:

\frac{5(-5)}{0-4}

Simplify:

\frac{5+5}{-4}

\frac{10}{-4}

\frac{-5}{2}

The slope is \frac{-5}{2}.

Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.

I hope this helps!
3 0
3 years ago
Read 2 more answers
Two numbers whose sum is 29 and their difference is 15
n200080 [17]

Answer:

22 and 7

Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15   (2)

Let’s solve it :

(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22

Now we replace x by 22 in equation (1) :

22 + y = 29  ⇒ y = 29 - 22 = 7

6 0
2 years ago
When the dependent variable increases when the independent variable increases, the rate of change is
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3 years ago
Find the slope of the line that passed though the two points <br> (0,5) and (-9, -4)
OverLord2011 [107]

To find the slope, use the slope(m) formula:

m=\frac{y_2-y_1}{x_2-x_1}        and plug in the two points

(0, 5) = (x₁, y₁)

(-9, -4) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-4-5}{-9-0}

m=\frac{-9}{-9}    [two negatives cancel each other out and become positive]

m = 1      The slope is 1

6 0
3 years ago
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