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Vadim26 [7]
2 years ago
12

Replace the # symbols in the row 1 function to match the graph below f(x)=(x+5)(x+#)(x-1)(x-#)​

Mathematics
1 answer:
matrenka [14]2 years ago
4 0

Answer:

3, 5

Step-by-step explanation:

Looking at the graph, the x-intercepts are -5, -3, 1 and 5.

Hence the graph equation is (x+5)(x+3)(x-1)(x-5)

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PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A.
Sidana [21]

Answer: a. c = 30 + 45h

b. $322.50

Step-by-step explanation:

A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours.

This will be calculated as:

c = 30 + 45h

B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job?

Using the expression,

c = 30 + 45h

c = 30 + 45(6 1/2)

c = 30 + 292 1/2

c = 322.50

Therefore, Juan will pay $322.50

6 0
3 years ago
A walking path across a park is represented by the equation y=-4x+10. A new path will be built perpendicular to this path. The p
Lera25 [3.4K]

Given:

The equation of a line is

y=-4x+10

A perpendicular line on the given line passes through the point (4,-6).

To find:

The equation of the perpendicular line.

Solution:

We have,

y=-4x+10

On comparing this equation with slope intercept form y=mx+b, we get

m=-4

So, the slope of the given line is -4.

We know that the product of slopes of two perpendicular lines is always -1.

m\times m_1=-1

(-4)\times m_1=-1

m_1=\dfrac{-1}{-4}

m_1=\dfrac{1}{4}

The slope of the required line is \dfrac{1}{4} and it passes through the point (4,-6). So, the equation of the line is

y-y_1=m_1(x-x_1)

y-(-6)=\dfrac{1}{4}(x-4)

y+6=\dfrac{1}{4}x-1

y=\dfrac{1}{4}x-1-6

y=\dfrac{1}{4}x-7

Therefore, the correct option is B.

3 0
3 years ago
HELP!!
Sophie [7]

Answer:

Option A: f(x) = log_0.98 (n/74)

Step-by-step explanation:

We are told that that the number of species is decreasing by 2% per year.

Thus, number of species each year is 98% or 0.98 of number of species the previous year. .

We are told that there are currently 74 species of amphibians in the rain forest.

Thus, n/74 will represent a fraction of the current number of species.

Thus, the logarithmic function that models the time can be written as;

f(x) = log_0.98 (n/74)

5 0
3 years ago
Read 2 more answers
What is the solution to the division problem below? (You can use long division or synthetic division)
JulsSmile [24]
D
Using long division - x+4 goes into 3x^2 3x times, draw the line and change the sign, drop the -4. -x-4 goes into x+4 -1 times, so 3x-1 is the answer.
7 0
3 years ago
2 4/5 divided by (6 divided by 2 1/2)
netineya [11]

2 4/5÷(6÷2 1/2)

2 4/5÷2 2/5

1 1/12

6 0
2 years ago
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