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3 years ago

Choose the following function that belongs to the squaring family. y = x 3 + x 2 y = x 2 - x y = x + 22 y =

Mathematics

1 answer:

Elden [556K]3 years ago

3 0

The following function that belongs to the squaring family is y=x2-xy

Because you are squaring x

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What is the amplitude, period, and phase shift of f(x) = −3 cos(4x + π) + 6?

hammer [34]

This is in the form of $\sf acos(bx-c)+d$ .

Amplitude is equal to $\sf |a|$
Period is equal to $\sf\dfrac{2\pi}{|b|}$
Phase Shift is equal to $\sf\dfrac{c}{b}$

Plug in the values:

Amplitude:
$\sf |a|\rightarrow |-3|\rightarrow\boxed{\sf 3}$

Period:
$\sf\dfrac{2\pi}{|4|}\rightarrow\dfrac{2\pi}{4}\rightarrow\boxed{\sf\dfrac{\pi}{2}}$

Phase Shift:
$\sf\dfrac{c}{b}\rightarrow\boxed{\sf -\dfrac{\pi}{4}}$

6 0

3 years ago

Ms. MacArthur surveyed students to find the amount of time they spent reading and watching TV last week. The scatter plot below

ivann1987 [24]

Answer:

No, because James has confused the hours of watching tv with the hours of reading.

Step-by-step explanation:

This is incorrect. According to the graph, what we have is a point on the line at (6, 10), which implies that a student who reads for 6 hours will watch tv for 10 hours.

It is very likely that James is confusing the hours of watching tv with the hours of reading.

4 0

3 years ago

Solve for x 2/x+2 + 1/5 = 6/x+5 x = 0 x = –13 x = 13 x = 0 and x = 13

Juliette [100K]

$\dfrac{2}{x+2}+\dfrac{1}{5}=\dfrac{6}{x+5}\qquad\text{multiply both sides by 5}\\\\\dfrac{10}{x+2}+1=\dfrac{30}{x+5}\\\\\dfrac{10}{x+2}+\dfrac{x+2}{x+2}=\dfrac{30}{x+5}\\\\\dfrac{10+x+2}{x+2}=\dfrac{30}{x+5}\\\\\dfrac{x+12}{x+2}=\dfrac{30}{x+5}\qquad\text{cross multiply}\\\\(x+12)(x+5)=30(x+2)\qquad\text{use distributive property}\\\\(x)(x)+(x)(5)+(12)(x)+(12)(5)=(30)(x)+(30)(2)\\\\x^2+5x+12x+60=30x+60\qquad\text{subtract 60 from both sides}\\\\x^2+17x=30x\qquad\text{subtract 30x from both sides}$

$x^2-13x=0\\\\x(x-13)=0\iff x=0\ \vee\ x-13=0\qquad\text{add 13 to both sides}\\\\\boxed{x=0\ \vee\ x=13}$

5 0

3 years ago

Which expression is equivalent to 4(4f+7)

kirill115 [55]

Answer:

16f+28

Step-by-step explanation:

just had to simplify the expression

5 0

2 years ago

Read 2 more answers

What is the sum of two numbers is 40 and their difference is 10

Butoxors [25]

Answer:

The two numbers are 25 and 15.

Step-by-step explanation:

Let's find out the two numbers, this way:

x = first number

y = second number

This is the equations system:

x + y = 40

x - y = 10

Solving for x in the first equation:

x + y = 40

x = 40 - y

Solving for y in the second equation:

40 - y - y = 10

40 - 2y = 10

-2y = 10 - 40

-2y = - 30

y = -30/-2 = 15

Solving for x:

x + y = 40

x + 15 = 40

x = 40 - 15

x = 25

The two numbers are 25 and 15.

8 0

3 years ago