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2 years ago

The graph of the function f(x)= x²-3 is translated. The new function rule is f(x)= x²-1.

Mathematics

1 answer:

Sholpan [36]2 years ago

5 0

Answer:

Step-by-step explanation:

The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts the function b units downward. f (x + b) shifts the function b units to the left.

so it should be d

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Suppose y varies directly with x. Write a direct variation equation to relate x and y if y = 10 when x = 2

Ksivusya [100]

Answer:

y=5x and y=40 when x=8

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3 years ago

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What is the image of A under the translation described by the translation rule (x, y)--->(x + 4, y - 10)?

Mademuasel [1]

Translation rule (x, y)--->(x + 4, y - 10)

Object A = (5, 6)

Apply rule:

(5, 6)---->(5 + 4, 6 - 10) = (9, -4)

Image A' = (9, -4)

Option 3: (9, -4) is the answer

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2 years ago

Find the first term and the common ratio <br>third term =6 and seventh term= 96

mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: $a_n= a_1r^{n-1}$

We are given: third term = 6 i,e

$a_3=a_1r(3-1)\\6=a_1r^2----eq(1)$

Seventh term = 96

$a_7=a_1r(7-1)\\96=a_1r^6----eq(2)$

Dividing eq(2) and eq(3)

$\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}$

So, Common Ratio r = 2

Finding First term using eq(1)

$a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}$

So, First term a₁ = 3/2 and common ratio r = 2

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3 years ago

Solve 1/2x + 3 > 2(x-5/2)

Likurg_2 [28]

Answer:

1/4x (8 x - 15)

Step-by-step explanation:

write the division as a fraction

1/2x + 3/2x (x - 5 ÷ 2)

factor out 1/2 from the expression.

1/2x(x + 3(x - 5 ÷ 2))

divide the numbers.

1/2x(x + 3(x - 2.5))

distribute 3 through the parentheses.

1/2x(x + 3x - 7.5)

collect like terms.

1/2x(4x - 7.5)

1/2x(4x - 15/2)

factor out 1/2 from the expression.

1/2 x 1/2 x (8 x - 15)

multiply the fractions

= 1/4 x (8x - 15)

or alternative form

= 0.25(8x - 15)

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3 years ago

Evaluate -3x³-4x for x=-1

anyanavicka [17]

Answer:

Step-by-step explanation:

Sub -1 in for each x:

-3x³-4x

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-3(-1)+4

3+4

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