If the graph of f(x) = 4x is shifted down, then what would be the equation of the new graph?

Answer:

10

Step-by-step explanation:

"three times r" = 3r

"three times r minus ten" = 3r - 10

"product of 5 and the difference of three times r minus ten"

= 5 (3r - 10)

given that r = 4,

the expression becomes

5 (3r - 10)

= 5 [3(4) - 10]

= 5 [12 - 10]

= 5 (2)

= 10

Answer:

[tex]P(E \cup F)=P(E)+P(F)[/tex].

Step-by-step explanation:

Given the statement

If [tex]P(E)+P(F)=P(E \cup F)+P(E \cap F)[/tex], then E and F are mutually exclusive events.

If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.

Therefore, the statement is always true as P(E∩F)=0

For mutually exclusive events:

[tex]P(E \cup F)=P(E)+P(F)[/tex].

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The system of equations y = one-fourth x minus 5 and y = negative one-half x minus 3 is shown on the graph below.

Which statement is true about the solution to the system of equations? The x-value is between 2 and 3, and the y-value is between –4 and –5. The x-value is between –4 and –5, and the y-value is between 2 and 3. The x-value is between –2 and –3, and the y-value is between 4 and 5. The x-value is between 4 and 5, and the y-value is between –2 and –3.

Answer:

The solution is

[tex](x, y) = (2,67, -4.33)[/tex]

Therefore, the correct statement is

The x-value is between 2 and 3, and the y-value is between –4 and –5.

Step-by-step explanation:

The given equations are

Equation 1:

[tex]y = \frac{1}{4}x - 5[/tex]

Equation 2:

[tex]y = -\frac{1}{2}x - 3[/tex]

The point of intersection is given by

[tex]\frac{1}{4}x - 5 = -\frac{1}{2}x - 3 \\\\\frac{1}{4}x + \frac{1}{2}x = 5 - 3 \\\\\frac{3}{4}x = 2 \\\\x = \frac{2 (4)}{3} \\\\x = \frac{8}{3} \\\\x = 2.67[/tex]

The corresponding y value is

[tex]y = \frac{1}{4}x - 5 \\\\y = \frac{1}{4}(\frac{8}{3}) - 5 \\\\y = \frac{2}{3} - 5 \\\\y = -\frac{13}{3} \\\\y = -4.33[/tex]

So the solution is

[tex](x, y) = (2,67, -4.33)[/tex]

Therefore, the correct statement is

The x-value is between 2 and 3, and the y-value is between –4 and –5.

Answer: This question doesn't give the the answer choices or show the graph. So this question is incomplete

Step-by-step explanation:

Answer:

p - 120.00 = 56.74; p = $176.74.

Step-by-step explanation:

Out of the two equations, p - 120.00 = 56.74 would make the most sense. That is because it means that his paycheck minus the 120 that he deposited into savings is equal to the remaining balance.

We solve p - 120.00 = 56.74 by adding 120 to both sides.

p - 120 + 120 = 56.74 + 120

p = 176.74.

So, Zack got paid $176.74. That's a lot of money!

Hope this helps!

Answer: x=(7√6)/2

Step-by-step explanation:

To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.

For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.

Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.

The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.

7√3=x√2           [divide both sides by √2]

x=(7√6)/2

Now, we know x=(7√6)/2.

Answer:

4

Step-by-step explanation:

1-(-3)=4

rise is 4

Answer:

It is 4 units. You can count how many units the bottom (horizontally) of the blue triangle is to get the run.

Answer:

biased

Step-by-step explanation:

on my quiz good luck

The survey is biased because a biased sample favors one or more segments of the population over others.

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

We have:

You want to know whether the students in your school enjoy the school lunch.

As we know,

A biased sample favors one or more segments of the population over others, whereas an impartial sample gives everyone in the population an equal chance of being chosen.

The population is the collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it

Thus, the survey is biased because a biased sample favors one or more segments of the population over others.

Learn more about the survey here:

brainly.com/question/17373064

#SPJ5

Answer:

B. 65 degrees

Step-by-step explanation:

The sum of angles in a triangle = 180 degrees

Given angles = 80 and 35

Sum of given angles = 115

Thus, the third angle = 180 - 115 = 65 degrees.

Hope this helps

Answer:

b

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

By using the property of a triangle → " Sum of interior angles of a triangle is 180°"

Therefore, (4x - 40) + (x + 20) + x = 180°

(4x + x) + (-40 + 20) = 180°

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 40

Therefore, value of x will be 40.

Option (B) will be the correct option.

Answer:

2x3 + 6x2

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

Answer:

3.53 inch

Step-by-step explanation:

area = 1/8 π r² with r=3 inch (half diameter)

= 9/8 π ≈ 3.534 inch²

Answer:

2.53 in,3.53 in

i hope this helps sorry if it doesn't

[tex]\text{Solve:}\\\\(f + g)(x)\\\\6x^2+3x+1+2x^2-9\\\\8x^2+3x+1-9\\\\\boxed{8x^2+3x-8}[/tex]

Answer:

Percent of water in the mixture=88%

Which is 81.07 square inches of the total volume

Step-by-step explanation:

Volume of the flask=πr^2h

π=3.142

radius=diameter/2

=3.71/2

=1.855

height=8.52 inches

Volume of the flask=πr^2h

=3.142*(1.855)^2*8.52

=3.142*3.441025*8.52

=92.115688686

Approximately 92.12 square inches

Flask contains 12% acid solution and the remaining volume is water

Percentage of water =Total percentage - acid solution percentage

=100%-12%

=88%

Percentage of Water =88%

Percentage of the mixture by volume is water=88% of the total volume

=88/100*92.12

=81.0656 square inches

Approximately 81.07 square inches

Answer:

Hey!

We have been given the price of $26.76. This is the price for 4 pairs of insulated gloves. But, we need to know the unit price.

Unit, means the price of one of those pairs of gloves. To find that we divide.

$26.76 ÷ 4 = 6.69.

But, this is NOT the answer. The answer HAS to have a dollar sign and an explanation.

Our final answer is:

It costs $6.69 for each pair of insulated gloves.

Thank you for your time. Good luck on your assignment!! :D

Answer:

11.7046999

Step-by-step explanation:

using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:

d=√(6-(-5)² + (0-4)²

d=√(11)²+ (-4)²

d=√121+16

d=√137

d approximately equal to (≈) 11.7046999 or 11.7 or 11

Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.

Work:

In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.

So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.

25/2 = 12.5

That means, the vehicle is traveling at a speed of 12.5 mph.

Thus, the average speed of the vehicle is 12.5 miles per hour (mph).

Answers:

Gender = categorical, nominal variable

Sleep length = numerical, continuous

Bedtime = categorical, ordinal

Number of countries visited = numerical, discrete

Scale of dreading semester = categorical, ordinal

=========================

Explanation:

Gender is categorical because there are two categories or labels, male or female. It is nominal because we simply attach names to each label and we can't sort them or order them from highest to lowest. There is no ranking for gender.

Sleep length is numerical as it deals with numbers. I put continuous because someone could write 2.5 hours or 3.75 hours. If whole numbers are only allowed, then the variable would be discrete.

The bedtime portion is categorical as each time slot is a category. Like with the first part, they are simply labels. We can order them however from earliest to later on, which is why this variable is ordinal.

The number of countries visited is numeric as expected, and it's also discrete because we can't visit 0.1 of a country. By "visit", I mean step foot in any part of the country for any length of time. It does not mean you have to explore every square inch of the territory.

The last part is categorical and ordinal. The scale ranking is ordered for us from 1 to 5. Despite the fact we have numbers here, the data is not numerical as the numbers 1 through 5 represent labels of "very little" through "a lot".

Answer:

2520

Step-by-step explanation:

-5×6×(-4)×3×7 = 2520

Answer:

y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph

Step-by-step explanation:

Answer:

x = 7.5

Step-by-step explanation:

Answer:

(a) 0.635

(b) 0.498

Step-by-step explanation:

(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;

CDF  = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]

For x = three we have;

CDF = 0.781

For x = one we have;

CDF = 0.1465

Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635

(b) For x = 2 we have;

CDF = 0.4395

For x = one we have;

CDF = 0.9378

Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498

Answer:

Step 2

Step-by-step explanation:

Distributive Property: [tex]a(b+c)=ab+ac[/tex]

Isaac's Steps are outlined below:

[tex]\text{Step 1:} (4.2)(-5.4) = (-5.4)(4.2) \\\\\text{Step 2:} = (-5.4)(4) + (-5.4)(0.2) \\\\\text{Step 3:} = (-21.6) + (-1.08) \\\\\text{Step 4:} = -22.68[/tex]

We observe that in Step 2:

[tex](-5.4)(4.2)=(-5.4)(4+0.2)=(-5.4)(4) + (-5.4)(0.2)[/tex]

Therefore, Isaac applied the distributive property in Step 2.

Answer:

step 2

Step-by-step explanation:

I took the test

Answer:

103 pledges

Step-by-step explanation:

The equation we have here is;

C = 8n + 25

Now we need to find n given that c is $850

simply substitute for the value of c in the question

850 = 8n + 25

850-25 = 8n

825 = 8n

n = 825/8

n = 103.125

But since a pledge cannot be fractional, we can say that n = 103

Answer:

1

Step-by-step explanation:

Change 1/2 to 0.5.  Then, do the problem of 0.75-0.25+0.5.

Step-by-step explanation:

is your answer mate ......

Answer:

(0,0)

Step-by-step explanation:

x = -⅛y²

The equation exchanges x and y, so this is a sideways parabola.

It opens to the left because the coefficient of y² is negative.

The vertex form of a sideways parabola with its vertex at (h, k) is:

x =  a(y – k)² + h

Your equation is

x = -⅛(y - 0)² + 0

By comparing the two equations, we find that

h = 0; k = 0.

The vertex is at (0, 0).  

The Figure shows your parabola with its vertex at (0,0).

Answer:

(0,0)

Step-by-step explanation:

Answer:

not possible

Step-by-step explanation:

The Law of Detachment is:

If p, then q. p is true. We can then conclude q is true.

For example:

If it rains, the grass gets wet. It is raining. Then the grass is wet.

In the problem in this post, it is not possible to use the Law of Detachment because we have:

If p then q. q is true. We are not told p is true, so we cannot conclude q is true.

Answer: not possible

Answer:

25 students

Step-by-step explanation:

Using the line of best fit, we want to deduce the number of students predicted to be in the marching band given that there are 35 in the concert band.

To deduce this, what we need to do is to go to the point where we have 35 on the concert band axis i.e the x-axis, then trace it upto the line of best fit.

Then from the line of best fit, now trace to the y-axis.

This gives an answer 25.

Answer:

d it is what it is my man's

Answer:

1m = 100 cm

First sprinter stride is 120 cm. Steps he will take

= 100/1.2 = 83 1/3 steps

Second sprinter takes a stride of 75 cm

= 100/0.75 = 133 1/3 steps