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3 years ago

Which function is equivalent to q(x)=9x2-24x+16

Mathematics

1 answer:

Wittaler [7]3 years ago

3 0

Th correct function is. q(x) = (9x^2 -24x+16). = (3x-4.) (3x-4). q(x) =. (3x-4)^2

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Tavon has a gift card for $ 155 that loses $ 3.50 for each 30-day period it is not used. He has another gift card for $ 135 tha

Zepler [3.9K]

Answer:

A) 40

B) $ 15

Step-by-step explanation:

A)An equation for the number of 30-day periods until the value of the gift cards will be equal

Let x be the number of time periods for which the gift card is not used, then

For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is

155 - 3.50 x---------------------(1)

For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is

135 - 3x---------------------- (2)

Now when both the amount lost is equal

$155 - 3.50x = 135 - 3x$

solving the equation, we get

$155 -135 = -3x + 3.50x$

20 = 0.5x

$x = \frac{20}{0.5}$

x = 40

Thus the value of gift cards will be equal for 40 ,30 day periods.

B)The value of each card be when they have equal value

The two cards will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.

Then

$155 - 3.50x = 135 - 3x$

substituting x = 40, we get

$155 - 3.50(40)= 135 - 3(40)$

$155 - 140= 135 - 120$

$15 =15$

when they have equal value, the value of each card will be $15

7 0

4 years ago

Karissa says that to represent the expression - 7 - (- 9) on number line, she should start at 7 and move units to the IN correct

Sholpan [36]

Answer:

Step-by-step explanation:

Should start at -7 and move 9 units towards right (in the positive direction).

Should stop at 2

8 0

3 years ago

Need answer asap!!! worth ten points!!! please help!!

MArishka [77]

Answer:

x=17 <A= 114

I think this is the answer

Step-by-step explanation:

3 0

3 years ago

We have two fractions, \dfrac{1}{6} 6 1 start fraction, 1, divided by, 6, end fraction and \dfrac{3}{8} 8 3 start fraction,

andrew-mc [135]

Answer:

B) 24

D) 48

Step-by-step explanation:

Given:

Two fractions

$\dfrac{1}6 \\and\\\dfrac{3}8$

To find:

Number that can be chosen as Common denominator such that numerator is also a whole number ?

Solution:

Common denominator for two fractions $\frac{p}{q}$ and $\frac{r}{s}$ is chosen as LCM or multiple of LCM of (q, s).

Common denominator for two fractions is chosen as the Least Common Multiple or multiple of LCM of denominators of the two fractions.

The denominators of the given fractions are 6 and 8.

Let us factorize and try to find the LCM of 6 and 8.

$6 = \underline2 \times 3\\8 = \underline2 \times 2\times 2$

Common part of the denominators (as underlined) will be taken only once.

So, $LCM = 2 \times 3 \times 2 \times 2 =24$

Multiples of LCM, 24 = 48

So, the correct answers are:

B) 24 and

D) 48

7 0

4 years ago

Need help please!!!!!

Nadusha1986 [10]

maybe 54 I think I’m not sure

6 0

3 years ago

Read 2 more answers