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Answer:

Step-by-step explanation:

The quadratic equation has the extreme value at vertex with x-coordinate of

For the given equation the vertex is:

The value of y at x = 2 is:

Since the leading coefficient is negative, the extreme is the maximum for the given equation.

Correct choice is D

Answer:

3168 cm³

Step-by-step explanation:

From the question,

The volume of the rectangular tank = Length×width×heigth

V = lwh.................... Equation 1

Where l = length, w = width, h = heigth.

Given: l = 22 cm, w = 9 cm, h = 16 cm

Substitute these values into equation 1

V = 22×9×16

V = 3168 cm³

Hence the volume of the rectangular tank is 3168 cm³

Answer:

x = 20

Step-by-step explanation:

The sum of the two angles is 90 degrees

x+3x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x+10-10 = 90-10

4x= 80

Divide each side by 4

4x/4 = 80/4

x = 20

Answer:

x = 20

Step-by-step explanation:

x and 3x + 10 form a right angle, then

x + 3x + 10 = 90

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Answer:

Step-by-step explanation:

If they are vertical angles, they are opposite to each other where two lines intersect. Vertical angles are equal to each other so

5x-15=3x+1

2x-15=1

2x=16

x=8 degrees.

The angles are

a=5x-15, and x=8 so

a=5(8)-15

a=40-15

a=25 degrees.

Answer: The length is 13cm and the width is 7cm

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = W*L

In this case we have:

L = (2*x + 9) cm

W=(3*x + 1) cm

Then the area of the rectangle is:

A = (2*x + 9)*(3*x + 1) cm^2

A = (6*x^2 + 2*x + 27*x + 9) cm^2

A = (6*x^2 + 29*x + 9) cm^2

now we remove two squares with sides of x cm

The area of each one of these squares is (x cm)*(x cm)  = x^2 cm^2

Then the area of the figure will be:

area = (6*x^2 + 29*x + 9) cm^2 - (2*x^2 ) cm^2

area = (4*x^2 + 29*x + 9) cm^2

Now we know that the area of this shape is 83 cm^2, then we need to solve:

83 cm^2 = (4*x^2 + 29*x + 9) cm^2

0 =  (4*x^2 + 29*x + 9) cm^2 - 83 cm^2

0 = (4*x^2 + 29*x - 74) cm^2

Then we need to solve:

0 = 4*x^2 + 29*x - 74

Here we can use Bhaskara's equation, the solutions of this equation are given by:

[tex]x = \frac{-29 \pm \sqrt{29^2 - 4*4*(-74)} }{2*4} = \frac{-29 \pm 45}{8}[/tex]

Then the two solutions are:

x = (-29 - 45)/8 = -9.25  (for how the length and width are defined, we can not have x as a negative number, then this solution can be discarded).

The other solution is:

x = (-29 + 45)/8 = 2

x = 2

Then the length and width of the rectangle are:

Length = (2*2 + 9)cm = 13 cm

Width = (3*2 + 1)cm = 7cm

Answer:

2/5

Step-by-step explanation:

The value of x will be x = -15/2

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that  the equation – 2/3X – 1 = 4

Here, we need to solve for x,

– 2/3X – 1 = 4

Now combine the like terms;

– 2/3X = 4 + 1

-2/3x = 5

x = -15/2

Therefore, the solution will be as;

x = -15/2

The value of x will be; x = -15/2

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Answer:

c = 214.28 OR 214.275

Step-by-step explanation:

You could do c = 0.75(285.7) and you would get c = 214.275

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

c^2=a^2+b^2 ( where c is the hypotenuse and a and b are the legs of a right triangle)

c^2=15^2+8^2

c^2=225+64

c^2=289

c=17 feet

Step-by-step explanation:

just use step by step process so dum

Answer:

50

Step-by-step explanation:

m a t h w a y is helpful too!

Answer:

37 feet below the surface or -37 ft

Step-by-step explanation:

Answer:

-3 Is the average rate

Step-by-step explanation:

The number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

The average rate of change is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

The rate of change is calculated by the formula below:-

Rate of change = Final value - initial value.

From the given graph the value of tickets on the 3rd day is 100 and on the 10th day is 80. The final value of tickets is 80 and the initial value is 100.

The average rate of change in the number of tickets sold between the 3rd and 10th days after the release will be calculated as below:-

Rate of change = Final value - initial value.

Rate of change = 80  - 100

Rate of change = -20

Therefore, the number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

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Answer: bros really trnya use brainly as a d8 ap

Step-by-step explanation:

Answer:

He walked Ms. Evans' dog 3.89 miles.

Step-by-step explanation:

From the information provided, you know that the total distance that he walked both dogs is 17.5 miles, which can be expressed as:

x+y=17.5, where:

x is the distance he walked  Mr. Jackson's dog

y is the distance he walked  Ms. Evans' dog

Also, the statement indicates that he walked Mr. Jackson's dog 3.5 times farther than he walk Ms. Evans' dog and you can write the following equation:

x=3.5y

Now, you can replace x=3.5y in the first formula and solve for y to find how far he walked Ms. Evans' dog:

3.5y+y=17.5

4.5y=17.5

y=17.5/4.5

y=3.89

According to this, the answer is that he walked Ms. Evans' dog 3.89 miles.

Answer:

78

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Answer:

Either Mr.62 or 72

Because if her name is 62 that means thats his name, but also it went down 10 so therefore his name could be 10 above

Answer:

72

Step-by-step explanation: beacuse the mother is 62 so the fartheher has to be older

Answer: c. 3d + 15

Step-by-step explanation:

Mr. Torres paid d dollars for each of the three chairs which gives the expression of:

= 3 * d = 3d

He then paid with an amount that was greater than this 3d and got a change of $15.

That total amount that he paid is therefore, the price of the three chairs added to the $15 that he received back.

= 3d + 15

Answer:

I think its A

Step-by-step explanation:

a. The equation of the trend line is c=5x+100.

b. The equation of the trend line is c=-5x+100.

c. As the hours of training increase by 5, the greeting cards made increases by 25.

d. As the hours of training increase by 5, the greeting cards made decreases by 25.

Answer:

The slope of the line of best fit is 5.

Without any training, an employee is expected to make 100 greeting cards.

If an employee has 70 hours of training, the employee is expected to make 450 greeting cards per month.

Step-by-step explanation:

First, find the slope of the line of best fit by substituting any two points on the line into the slope formula. The following calculation uses (10,150) and (20,200).

So, the slope of the line of best fit is 5.  

The y-intercept is the point at which the line crosses the y-axis or when x = 0. So, the y-intercept of the line of best fit is 100.  

The equation of the line of best fit can be represented in slope-intercept form, where the slope, m, is 5 and the y-intercept, b, is 100.    

A slope of 5 in this situation means that for every additional hour of training, 5 more greeting cards are expected to be made per month. The y-intercept is 100 when the number of hours of training is 0. So, without any training, an employee is expected to make 100 greeting cards.  

To find the number of greeting cards an employee would produce after receiving 70 hours of training, substitute x = 70 into the equation for the line of best fit and solve for y.    

So, if an employee has 70 hours of training, the employee is expected to make 450 greeting cards per month.  

Answer:

40

Simplified equation:

8+32

Step-by-step explanation:

4(2+8)

   x4

8+32

40

Answer:

it is your answer...... if it is helpful plzz like ans comment

Answer:

Step-by-step explanation:

4x - 25 = 75° (opposite angles)

4x= 75+25

4x= 100

x= 100/4= 25°

To find the difference between two numbers you would subtract them.

You are told the first number is 7 and you want to find the different of 7 and a number, which is represented by the letter n.

To find the difference you would subtract n from 7, which would be written as 7 - n

The correct answer would be 2. 7 - n ( 7 minus n)

Answer: 7 - n (Look at the explanation to understand it clearly)

Normally you'll subtract this equation, but since there isn't a number but is a variable, you would have to rewrite it.

In this problem, we would represent n as the variable and 7 as the number. Rewrite it like this:

7 - n

Or you could say it like this:

A number decreased by 7.

"A number" would represent the variable.

Hence, your answer is 7 - n.

Answer:

B.)

   6.60

   4.20

-______

Answer:

well we cant put dots on the number line for you how to do it u just plot the number lines Step-by-step explanation:

Answer:

8/10 goes about a centimeter away from one, between 1/2 and 1, 3/5 goes just a lil after 1/2 and 1/4 goes directly in the middle of 0 and 1/2

Step-by-step explanation:

Answer: Rizza got a profit of Php 67.20---B

Step-by-step explanation:

Profit  = Selling Price  - Cost Price

But

Selling price =Php10.00 x 24=240Php

Cost Price =Php172.80

Therefore,

Profit=Php240 -Php172.80

=Php 67.20