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9 months ago

The graph shows the linear parent function.Y5-55----Which statement best describes the function?

Mathematics

1 answer:

Vikki [24]9 months ago

6 0

From the picture, we have the graph of the linear parent function f(x) = x.

We have the following statements as descriptions of the function:

A. The function is negative when x < 0.

From the graph, we see that the function takes negative values for x < 0. This statement is true.

B. The function is negative when x < 0 and also when x > 0.

The first part of this statement is true, but the second is not because that we see that the function takes positives values for x > 0. So this statement is false.

C. The function is never negative.

If we see the graph, the function is negative when x < 0. So this statement is false.

D. The function is negative when x > 0.

Again, seeing the graph we note that the function takes positive values for x > 0. So this statement is false.

So the only statement that it is true, is option A.

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Vaughn is laying sod in his backyard. A diagram of his backyard is bel ow

Orlov [11]

Answer: $A=944\ ft^2$

Step-by-step explanation:

You need to use the following formula that is used to find the area of a trapezoid:

$A=(\frac{M+m}{2})h$

Where "M"and "m" are the bases of the trapezoid and "h" is the height of the trapezoid.

Based on the information given in the exercise, you can identify that:

$M=c=36\ ft\\\\m=a=23\ ft\\\\h=b=32\ ft$

Knowing these values, you can substitute them into the formula:

$A=(\frac{36\ ft+23\ ft}{2})(32\ ft)$

Finally, you must evaluate in order to find its area. This is:

$A=(\frac{59\ ft}{2})(32\ ft)\\\\A=\frac{1888\ ft^2}{2}\\\\A=944\ ft^2$

7 0

2 years ago

The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la

max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A total of 15 devices will be used.

This means that $n = 15$

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that $p = 0.05$

What is the probability that one of the devices fail?

This is $P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658$

36.58% probability that one of the devices fail

7 0

2 years ago

Solve the quadratic equation by completing the square.

Step2247 [10]

Answer:

x1, x2 = 4.74 , -2.74

Step-by-step explanation:

To find the roots of a quadratic function we have to use the bhaskara formula

ax^2 + bx + c

x^2 - 2x - 13

a = 1 b = -2 c = -13

x1 = (-b + √ b^2 - 4ac)/2a

x2 =(-b - √ b^2 - 4ac)/2a

x1 = (2 + √ (2^2 - 4 * 1 * (-13)))/2 * 1

x1 = (2 + √ (4 + 52)) / 2

x1 = (2 + √ 56 ) / 2

x1 = (2 + 7.48) / 2

x1 = 9.48 / 2

x1 = 4.74

x2 = (2 - √ (2^2 - 4 * 1 * (-13)))/2 * 1

x2 = (2 - √ (4 + 52)) / 2

x2 = (2 - √ 56 ) / 2

x2 = (2 - 7.48) / 2

x2 = -5.48 / 2

x2 = -2.74

6 0

2 years ago

Which ordered pair is the best estimate for the

k0ka [10]

Given the pair of simultaneous equation:
y=-2/5x-2
y=5x+1
To evaluate the solution of the system of equation from the graph, we obtain the point at which the two linear equations have intersected. taking the values of x and y from the point of intersection that will be the solution of the system of linear equations.
In our case the straight lines have intersected at the point (-0.5, -1.75). This implies that:
x=-0.5
y=-1.75
hence the answer is a] (-0.5, -1.75)

3 0

2 years ago

Take the horse to overtake the

S_A_V [24]

Answer:

120 km/h

Step-by-step explanation:

Speed in one direction = 40 km/h
Speed on return = x
Average speed = 60 km/h

Let the distance be d

<u>Average speed </u>

2d/(d/40 + d/x) = 60
d/40 + d/x = 2d/60
1/40 + 1/x = 1/30
1/x = 1/30 - 1/40
1/x = (4-3)/120
1/x = 1/120
x = 120 km/h

6 0

2 years ago