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2 years ago

50 Points!!

Mathematics

1 answer:

____ [38]2 years ago

8 0

Answer:

a) g(x) = f(x) + 3

So g(x) is a vertical translation of f(x), 3 units upwards

b) g(x) = 3x² - 1 + 3

g(x) = 3x² + 2

The graph has shifted 3 units upwards, so has the vertex.

The vertex of f is (0,-1)

Whereas the vertex of g is (0,2)

-1 + 3 = 2

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Which graph represents the function f (x) = 3 x minus 2 Over x minus 2?

RSB [31]

Answer:

Step-by-step explanation:

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2 years ago

What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?

joja [24]

Answer:

23rd term of the arithmetic sequence is 118.

Step-by-step explanation:

In this question we have been given first term a1 = 8 and 9th term a9 = 48

we have to find the 23rd term of this arithmetic sequence.

Since in an arithmetic sequence

$T_{n}=a+(n-1)d$

here a = first term

n = number of term

d = common difference

since 9th term a9 = 48

48 = 8 + (9-1)d

8d = 48 - 8 = 40

d = 40/8 = 5

Now $T_{23}= a + (n-1)d$

= 8 + (23 -1)5 = 8 + 22×5 = 8 + 110 = 118

Therefore 23rd term of the sequence is 118.

4 0

3 years ago

Find the slope of the line going through the points (0, -5) and (-2,1)

kvasek [131]

Answer:

$\displaystyle m=-3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (0, -5)

Point (-2, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{-5-1}{0--2}$
[Fraction - Denominator] Simplify: $\displaystyle m=\frac{-5-1}{0+2}$
[Fraction - Numerator] Subtract: $\displaystyle m=\frac{-6}{0+2}$
[Fraction - Denominator] Add: $\displaystyle m=\frac{-6}{2}$
[Fraction] Divide: $\displaystyle m=-3$

8 0

2 years ago

Circle X with a radius of 6 units and circle Y with a

Minchanka [31]

Answer:

The answer is C, Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Step-by-step explanation:

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2 years ago

My mommy is being mean :(

GREYUIT [131]

Lol why do u think that?

6 0

2 years ago

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