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2 years ago

The function g(x) is a transformation of the quadratic parent function, fx):

Mathematics

1 answer:

77julia77 [94]2 years ago

6 0

Answer: D

Step-by-step explanation:

The graph is narrower, so the coefficient of $x^2$ has an absolute value more than 1.

Eliminate B and C.

Also, because g(x) opens down, the coefficient of $x^2$ is negative.

Eliminate A.

This leaves D as the answer.

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What is the sum of the arithmetic series

docker41 [41]

Answer:

$S_ {12} = 192$

Step-by-step explanation:

The nth term of the given arithmetic sequence is

$U_n = 3 + 2n$

The first term of this series is:

$U_1 = 3 + 2(1) = 5$

The last term of this series is when

$n = 12$

$U_ {12}= 3 + 2(12)$

$U_ {12}= 3 + 24 = 27$

The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

$S_n = \frac{n}{2}(a + l)$

Where a=5 is the first term and l=27 is the last term.

$S_ {12} = \frac{12}{2}(5 + 27)$

$S_ {12} =6(32) =19 2$

6 0

3 years ago

An anthropologist studies a woman's femur that was uncovered in Madagascar. To estimate the woman's height, he uses the equation

Lelu [443]

Answer:

The inequality $f>40$ represents the length of the femur for which the woman had a height greater than 160cm.

Step-by-step explanation:

The given equation is

$h=60+2.5f$

Where, h is woman's height in centimeters and f is length of the femur in centimeters.

If woman's height is greater than 160cm, then

$h>160$

$60+2.5f>160$

Substract 60 from both sides.

$2.5f>100$

Divide both sides by 2.5.

$f>40$

Therefore the inequality $f>40$ represents the lengths of the femur for which the woman had a height greater than 160cm.

5 0

3 years ago

A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the

Ilia_Sergeevich [38]

$972.00/1.08 = Total pre-tax was $900

5 0

3 years ago

Pete's Plumbing charges a $150 inspection fee plus $60 per hour. Paul's Plumbing charges a $90 inspection fee plus $75 per hour.

Klio2033 [76]

Answer:

40+75 x = 125 + 25x

Step-by-step explanation:

5 0

3 years ago

Rylie paid $12 for two cans of racquetballs as shown in the tape diagram, where the green bars represent the amount she spent, a

aleksklad [387]

Answer:

your answer is 18$

Please mark brainlliest

7 0

3 years ago

Read 2 more answers