Solve a^3 • (-a^2b)^4

The cost of a service call to fix a washing machine can be expressed by the linear function y = 45 x + 35, where y represents th

katovenus [111]

Answer:

the slope represents the cost for each hour it takes to repair the machine.Step-by-step Answer:

We are given that the cost of a service call to fix a washing machine can be expressed by the linear function

Where

y=Total cost of a service to fix the machine.

x=Number of hours takes to fix the machine

We have to find that slope in this function what represents.

General equation of line is given by

Where m=Slope of line

c=y- intercept

Comparing the general equation with the given function

We get m=45,c=35

m=45 represents the cost for each hour it takes to repair the machine because when number of hours multiplied by 45 then we get total cost of x hours.

Hence, the slope represents the cost for each hour it takes to repair the machine.

8 0

2 years ago

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Sketch the graph of y =sine3x

IgorLugansk [536]

The graph of $\mathbf{y=\sin{3x}}$ is given by,

Here given the function is $y=\sin{3x}$

when $x=0\Rightarrow y=\sin{3\times 0}=\sin0=0$ , then it passes through the origin (0,0).

When $x=\frac{\pi}{6}\Rightarrow y=\sin{3\times\frac{\pi}{6}}=\sin\frac{\pi}{2}=1$

Since we know that, $-1\leq\sin{x}\leq1,\forall x$ , then the function has maximum height at $x=\frac{\pi}{6}$ .

Again when $x=\frac{\pi}{3}\Rightarrow y=\sin{(3\times\frac{\pi}{3})}=\sin\pi=0$ , again the function is 0.

So clearly the function is the Oscillating function.

Using graphing calculator we get the graph of function $y=\sin3x$ ,

Learn more about Trigonometric Function here -

brainly.com/question/1143565

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8 0

1 year ago

the first term of an arithmetic sequence is 10 and the sum of the first five terms is 250,find the sequence

Crazy boy [7]

Answer:

The sequence is:

10, 30, 50, 70, 90.....................

Step-by-step explanation:

We have,

First term (a) = 10

Common difference (d) = ?

Sum of first 5 terms ( $S_{5}$ ) = 250

or, $\frac{n}{2} [{2a+(n-1)d}] = 250$

or, $\frac{5}{2} [2*10 + 4d]=250$

or, $\frac{5}{2} * 4[5+d]=250$

or, 10(5 + d) =250

or, 5 + d = 25

∴ d = 20

Now,

2nd term = a + d = 10 + 20 = 30

3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50

4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70

5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90

8 0

2 years ago

abby baked 48 cookies and divided them evenly into bags. let b represent the number of bags. write and algebraic expression to r

dybincka [34]

The words literally tell you what to do.
b = the number of bags.

You need to "divide the cookies evenly"

We have "48 cookies".

Now we need to put that together.

48/b is your answer.

Don't forget to rate this answer the Brainliest!

7 0

2 years ago

What are the solutions to the system of equations? {y=2x2+6x−10 y=−x+5

inessss [21]

Answer: x = -5, 3/2 y = 10, 7/2

Explanation:

y = 2x^2 + 6x - 10 (1)
y = - x + 5 (2)

=> 2x^2 + 6x - 10 = - x + 5
2x^2 - 7x - 15 = 0
(2x - 3)(x + 5) = 0
=> 2x - 3 = 0
2x = 3
x = 3/2
=> x + 5 = 0
x = -5

According to (2):

y = -x + 5
y = -(-5) + 5
y = 5 + 5 = 10

y = -x + 5
y = -(3/2) + 5
y = -(3/2) + 10/2
y = 7/2

3 0

3 years ago

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