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iren2701 [21]
3 years ago
9

Using the graph of f(x) and g(x), where g(x) = f(k•x), determine the value of k.

Mathematics
1 answer:
Nataliya [291]3 years ago
5 0

equation of f(x)

point of intersection of f(x) and x axis - (-4,0)

point of intersection of f(x) and y axis - (0,4)

Equation y = x +4

g(x) = f( kx)

= kx +4

g(-2) = -2

-2k +4= -2

-2k = -2 -4

-2k = -6

k= 3

e

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100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.
ivolga24 [154]

Answer:

b = 10

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

\frac{1}{2} × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

b(3x + 15) = 30x + 150

Divide both sides by (3x + 15)

b = \frac{30x+150}{3x+15} ← factor numerator and denominator

  = \frac{30(x + 5)}{3(x+5)} ← cancel the factor (x + 5) on numerator/denominator

  = \frac{30}{3}

  = 10

7 0
3 years ago
Read 2 more answers
cynthia and amy are customer service representives cynthia earns $13 per hour and amy earns $1.50 more per hour than cynthia. Am
Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

Let h bet the # of hours worked

If Cynthia earns $13 per hour then her equation would be:

C = $13h

If Amy makes $1.5 more per hour then her equation would be:

A = $14.5x

Now lets plug in some numbers:)

A = $14.5(43.5)

A = $630.75

7 0
3 years ago
Том и Эми установили будильники на своих телефонах на 6:45. Оба сигнала тревоги звучат одновременно в 6.45. Будильник Тома звучи
Debora [2.8K]

Answer:

36 минут спустя в 7:21

это проблема LCM, поэтому вот как ее решить.

Том звучит через 9, 18, 27, 36 минут после первоначального звучания.

Звуки Эми в 12, 24, 36 минут

Итак, в 7:21, через 36 минут после того, как они ушли, и Том, и Эми проснулись, и они оба опоздали.

-------------------

Translation

36 minutes later at 7:21am

this is a LCM problem so this how to solve it.

Toms sounds at 9, 18, 27, 36 minutes after it initially sounds

Amy’s sounds at 12, 24, 36 minutes

so at 721am 36 minutes after they went off both Tom and Amy when they woken up,they were both late.

8 0
2 years ago
9. What coordinates will a point (x, y) reflected over the x-axis have?
Charra [1.4K]
The answer to your question is c
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3 years ago
Which of the following numbers is a Mersenne prime?<br> A: 90<br> B: 27 - 1<br> C: 211 - 1<br> D: 15
My name is Ann [436]

Answer:

  B:  2⁷-1 = 127

Step-by-step explanation:

A Mersenne prime is a prime of the form 2^n -1, where n is also a prime.

Among the answer choices, neither 90=2·3²·5 nor 15=3·5 is prime. Both 2⁷-1 = 127 and 2¹¹-1 = 2047 are of the right form, but 2047 = 23·89 is a composite number.

  2⁷-1 = 127 is a Mersenne prime

3 0
3 years ago
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