Identify a pair of alternate exterior angles.
a. 6 and 8
b. 2 and 7
c. 3 and 6
d. 3 and 2

Answer:

1) \(Q(x)=2x^{4}-7x^{3}+6x^{2} +x-2\\\\=(x-1)^{2}(x-2)(2x+1)\\\)

2) Q(-2) = (-2-1)².(-2-2).(2.-2+1)

= (-3)².(-4).(-3)

= 108

3) Q(x) = 0

=> (x-1)²(x-2)(2x+1) = 0

⇔ x - 1 = 0 or x - 2 = 0 or 2x +1 = 0

4) x-1 = 0 or x - 2 = 0 or 2x + 1 = 0

⇔ x = 1 or x = 2 or x = -1/2

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

If you plug in (0,0) to the equation you get: 0=4(0)

which is 0=0

Therefore, (0,0) is is a solution to y=4x

Answer:

Yes

Step-by-step explanation:

You can quickly test this by plugging (0, 0) into the equation. Remember that the first point in a coordinate is x, and the second is y.

y = 4x

0 = 4(0)

0 = 0

The correct statement for the given relation being a function is -

B: No, because for each output there is not exactly one input.

What is a relation?

In mathematics, a relation describes the connection between two distinct collections of data. If more than two non-empty sets are taken into consideration, the relationship between them will be determined if there is a connection between their components.

To determine if the relation is a function, we need to check if there is exactly one output (y-value) for each input (x-value).

Looking at the mapping diagram, we see that the input value of 1 and -3 has arrows pointing to one output value which is 0.

Similarly, the input value -1 and 3 has arrows pointing to one output value which is 2.

Therefore, there is not exactly one input for the output value of 0 and 2.

Thus, the relation is not a function because for at least one output there is not exactly one input.

Therefore, this relation cannot be considered a function.

To learn more about relation from the given link

https://brainly.com/question/26098895

#SPJ1

I can't really explain it

see the picture

Step-by-step explanation:

length = x + 2

width = x

x + x + (x+2) + (x+2) = 36 ft

4x + 4 = 36 ft

4x = 32 ft

x = 32 ÷ 4

x = 8 ft

dimensions = length x width

= (x+2) × x

= (8+2) × 8

= 10 ft × 8 ft

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

Read more about proportion at:

https://brainly.com/question/16828793

#SPJ12

Answer:

Rate of change/slope: 35

Miles at 10 hours: 350

Step-by-step explanation:

We can find the rate of change or the slope by using the slope formula below:

m = (y2-y1)/(x2-x1) where m is the slope

To find the slope, we can choose any two points from the table. I will choose (2,70) and (4,140)

m = (140-70)/(4-2)

m = 70/2

m = 35

The rate of change is 35 miles per hour

To find the miles at 10 hours, we can use the equation y = mx + b which is the equation of the line in slope intercept form. However, we will need to find the value of b. To do that, we can plug in any point from the table to find the value of b. I'll choose (2,70).

y = mx + b

70 = 35(2) + b

70 = 70 + b

b = 0

So the equation of the line would be y = 35x. Using this equation, we can find the number of miles at 10 hours:

y = 35(10)

y = 350

The number of miles at 10 hours is 350 miles

Answer:

you got it keep 4-6

Step-by-step explanation:

Answer:

looks proportional to me

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

Direct proportion:

y = kx

1*4 = 4

2*4 = 8

3*4 = 12

Given values in the table satisfy the equation of direct proportion. So, it is a direct proportion.

The cost of one small box is $10 and the cost of one large box of grapefruit is equal to $16.

This type of problem can be solved using linear equations.

If we consider x to be the cost of one small box and y to be the cost of one large box of fruit, the linear equations can be given as;

12x + 5y = 200

4x + 10y = 200

Multiplying the second equation by 3

12x + 5y = 200

12x + 30y = 600

Now by subtracting both equations we get;

-25y = -400

y = -400 / -25

y = 16

Now adding this value of y = 16 in the first equation;

12x + 5y = 200

12x + 5(16) = 200

12x + 80 = 200

12x = 200 - 80

12x = 120

x = 120 / 12

x = 10

Therefore, $10 is the cost of one small box and $16 is the cost of one large box of grapefruit.

To learn more about linear equations, click here:

https://brainly.com/question/12788590

#SPJ4

The probability that she would get at least 20,000 additional miles out of it is 0.3678.

Let X denote the total number of thousands of miles that the car is driven before it needs to be junked. We want to compute P({X≥30} | {X≥10}).

Assuming X is an exponential random variable with parameter 1/20, we have

P{X≥30} = \(e^{-3/2}\)

P{X≥10} = \(e^{-1/2}\)

P({X≥30} | {X≥10}) = P{X≥30} / P{X≥10}  

                            =  \(e^{-3/2}\) /  \(e^{-1/2}\)

                            = \(e^{-1}\)

                            ≈ 0.3678

Hence, the probability is 0.3678.

To learn more about probability here:

https://brainly.com/question/11234923

#SPJ1

The solution to the equation c - 14 = -11 is c = 3.

In the first paragraph, the main answer is provided by isolating the variable c and solving for it. By adding 14 to both sides of the equation, we find that c = 3.

To explain the process in more detail, let's go through the steps involved.

Starting with the equation c - 14 = -11, our goal is to isolate the variable c on one side of the equation. To do this, we need to eliminate the constant term -14 from the left side.

By adding 14 to both sides of the equation, we perform the same operation on both sides to maintain the equation's balance. This yields:

c - 14 + 14 = -11 + 14.

On the left side, the -14 and +14 cancel out, leaving us with just c. On the right side, -11 + 14 simplifies to 3. Therefore, the equation becomes:

c = 3.

Hence, the solution to the equation is c = 3, indicating that when c is equal to 3, the equation is satisfied.

Learn more about equation here:

brainly.com/question/29538993

#SPJ11

Answer:

In 2 seconds, the space station travels 10 miles.

Step-by-step explanation:

Well, if the x axis represents time in seconds and the y axis represents distance in miles, then when your x value is 2, your y value is 10.

Answer:

-2

Step-by-step explanation:

We can expect that 7935 parts would fail to meet a minimum specification limit of 35 lb tensile strength and 2740 parts would have a tensile strength over 48 lb.

We can use the standard normal distribution to solve this problem.

The standard normal distribution has a mean of 0 and a standard deviation of 1. We can convert the normal distribution of the tensile strength to the standard normal distribution using the formula below.z = (x - μ) / σwhere x is the tensile strength, μ is the mean, and σ is the standard deviation.

a) To determine the number of parts that are expected to fail to meet a minimum specification limit of 35 lb tensile strength, we need to find the probability that a part has a tensile strength less than 35 lb. z = (35 - 40) / 5 = -1P(z < -1) = 0.1587

The probability of a part having a tensile strength of less than 35 lb is 0.1587. Therefore, the number of parts expected to fail to meet a minimum specification limit of 35 lb tensile strength is given by: Number of parts = Probability × Total number of parts= 0.1587 × 50,000= 7935b)

(b) To determine the number of parts that have a tensile strength over 48 lb, we need to find the probability that a part has a tensile strength greater than 48 lb. z = (48 - 40) / 5 = 1.6P(z > 1.6) = 0.0548

The probability of a part having a tensile strength greater than 48 lb is 0.0548. Therefore, the number of parts that have a tensile strength over 48 lb is given by: Number of parts = Probability × Total number of parts= 0.0548 × 50,000= 2740

Therefore, we can expect that 7935 parts would fail to meet a minimum specification limit of 35 lb tensile strength and 2740 parts would have a tensile strength over 48 lb.

#SPJ11

Answer: 92,000

Step-by-step explanation:

Answer:

Its 92,000

Step-by-step explanation:

Hope this helps!!

Answer:

The radius of the hole is 0.24 feet

Step-by-step explanation:

Firstly, we need to convert the miles to feet

Mathematically;

1 mile = 5,280 feet

4.3 miles is thus;

4.3 * 5,280 = 22,704 feet

Mathematically, the volume of a cylinder is;

V = pi * r^2 * h

here, we want to get r

4200 = 3.142 * r^2 * 22,704

r^2 = 4200/(3.142 * 22,704)

r = 0.24 feet

Answer:

I am not sure if my math is correct but I got $15 dollars in change.

Step-by-step explanation:

$50 times 0.10 (10%) equals $5. $50.00 minus $30.00 is $20.00. $20 minus $5 is $15.

Answer:

74.8% approximately

Step-by-step explanation:

Area of circle is pi×r^2=pi×4^2=16pi=50.27 approximately

Area of pentagon (assumption regular pentagon)=5/2×apothem×side length=5/2(3.2)(4.7)=37.6

So the probability that it lands in the red is 37.6/50.27 approximately =74.8% approximately

Answer:

12x^2-5x-2

Step-by-step explanation:

Answer:

Substitute x = 5 into the function machine 4x = y:

4(5) = y

y = 20

Therefore, if 5 is inputted into the function machine, the output will be 20.

In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.

In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.

The linear regression equation is given as:

y = b0 + b1 * x

Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable

In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.

visit here to learn more about linear regression:

brainly.com/question/29665935

#SPJ11

The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

Learn more about perimeter on

https://brainly.com/question/19819849

#SPJ1

The complete table as determined from the given probabilities is given below:

          X    Y   Total

A       40   28   68

B       38   54    92

Total 78   82   160

P(A|X) means the conditional probability of A given X has occurred. In this case, 40/92 means out of 92 times X occurred, A occurred 40 times.

P(B) means the marginal probability of B, which is the total probability of B occurring regardless of whether A occurred or not. In this case, 78/160 means out of 160 trials, B occurred 78 times.

The row and column totals are calculated by adding up the corresponding values.

The grand total is the sum of all the values in the table.

Learn more about probability at: https://brainly.com/question/13604758

#SPJ1

Answer:

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

300/4=75

Answer:

Step-by-step explanation:

4% = 4/100

4/100 x 30 = 1.2

30 + 1.2 = 31.20 (nearest cent)

Answer:

31.20

Step by step explanation: I got it from delta

Answer:

what grade are you in im in 10th and idek know this

Step-by-step explanation:

use PEMDAS btw it help

Answer:

X=-4

Step-by-step explanation:

Answer:

The maintance cost and the value will be the same in 9 years.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

\(y(t) = y(0)(1 + r)^t\)

In which r is the rate of change.

The value starts at $20,000 and decreases by 15% each year.

This means that \(V(0) = 20000, r = -0.15\)

So

\(V(t) = V(0)(1 + r)^t\)

\(V(t) = 20000(1 - 0.15)^t\)

\(V(t) = 20000(0.85)^t\)

The maintance cost is $500 the first year and increases by 28% per year.

This means that \(M(0) = 500, r = 0.28\). So

\(M(t) = M(0)(1 + r)^t\)

\(M(t) = 500(1 + 0.28)^t\)

\(M(t) = 500(1.28)^t\)

When will the maintenance cost and the value be the same.

This is t for which:

\(V(t) = M(t)\)

So

\(20000(0.85)^t = 500(1.28)^t\)

\(\frac{(1.28)^t}{(0.85)^t} = \frac{20000}{500}\)

\((\frac{1.28}{0.85})^t = 40\)

\(\log{(\frac{1.28}{0.85})^t} = \log{40}\)

\(t\log{(\frac{1.28}{0.85})} = \log{40}\)

\(t = \frac{\log{40}}{\log{(\frac{1.28}{0.85})}}\)

\(t = 9\)

The maintance cost and the value will be the same in 9 years.

Answer:

1.A , 2.B , 3.D , 4.B , 5.C

Step-by-step explanation:

hope this helped! :)