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3 years ago

Describe how the graph of each function is related to the graph of f(x)=x^2 g(x)= -10 + x^2

Mathematics

1 answer:

elena-s [515]3 years ago

5 0

Answer:

Translation down 5 units.

Step-by-step explanation:

The - 5 results in a shift of the whole graph down 5 units.

Each value of g(x) is 5 units less f(x).

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How do i write an equation in point-slope form for a horizontal line that passes through(4, –2)??

givi [52]

Answer:

$y = -2$

Step-by-step explanation:

Given

Horizontal Line

$(x_1,y_1) = (4,-2)$

Required

Determine the equation

The equation is calculated using:

$y - y_1 =m(x-x_1)$

Where

$m = slope$

Because the line is a horizontal line, then:

$m = 0$

Substitute 0 for m and values for x1 and y1 in $y - y_1 =m(x-x_1)$

$y - (-2) = 0(x -4)$

$y +2 = 0(x -4)$

$y +2 = 0$

Subtract 2 from both sides

$y +2-2 = 0-2$

$y = -2$

Hence, the equation is: $y = -2$

5 0

3 years ago

What is the factored form of 250x^3 − 16? A. 2(5x − 2)(25x2 + 10x + 4) B. 2(5x + 2)(25x2 − 10x + 4) C. (5x − 2)(25x2 + 10x + 4)

Juli2301 [7.4K]

Answer:

The choose A.

$250 {x}^{3} - 16 \\ 2(5x - 2)(25 {x}^{2} + 10x + 4)$

I hope I helped you^_^

5 0

3 years ago

Which of these numbers has the smallest value? Nine tenths, twenty hundredths, two hundredths, or forty five thousandths

victus00 [196]

Nine tenths = 0.9
Twenty hundredths is 0.2
Two hundredths is 0.02
Forty five thousandths is 0.045

The number with the smallest value is 0.02, or two hundredths.

The inequality that correctly compares thirty five and thirty seven hundredths (35.37) to thirty five and ninety four thousandths (35.094) is B. 35.37 > 35.094, because 35.37 is greater than 35.094.

25 - [2 x (18÷ 6) + 1]
25 - [2 x (3) + 1]
25 - [6 + 1]
25 - [7]
18
25 - [2 x (18 ÷ 6) + 1] = 18

5 0

3 years ago

Generalize the pattern by finding the nth term.

Veseljchak [2.6K]

Answer:

4n+2

Step-by-step explanation:

The common difference between the terms is 4 which means that the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

$a_{n}=a_{0}+(n-1)d$