The graphs of f(x) and g(x) are shown below.
For what interval is the value of (f-9)x) negative?

Answer:

-3x^2 - 21x

Step-by-step explanation:

This question is representing multiplying two functions :

We are finding f(x) * g(x)

We know that f(x) is -3x and g(x) is x + 7, therefore :

(-3x)(x + 7)

Follow FOIL :

First :

(-3x)(x)

-3x^2

Outer :

(-3x)(7)

-21x

Therefore the answer is :

-3x^2 - 21x

Answer:

Step-by-step explanation:

Sum up the equations:

It is in tenths place.

Hope it helps

Answer:

This is easier to explain with pictures, but I'll try here. The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Answer:

Step-by-step explanation:

An altitude is a line segment that meets the side opposite the vertex at right angles. The line also has to go through the vertex.

The only line that does both those things is DE.

Answer:

x= 40

Step-by-step explanation:

The reason this is so is because a straight line's degree is always 180. And 4(40)-20=140 and 180-40=140. This is how you would work out the right side. This gives you your answer.

Answer:

40

Step-by-step explanation:

[tex]x + 4x - 20 = 180 \\ 5x = 180 + 20 \\ x = 200 \div 5 \\ x = 40[/tex]

please mark as brainliest

Answer:

y = 1/4x + 1

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Since the triangle is isosceles then the 2 legs are congruent.

Given the perimeter is 66, then sum the 3 sides and equate to 66, that is

x + 4x - 3 + 4x - 3 = 66 , that is

9x - 6 = 66 ( add 6 to both sides )

9x = 72 ( divide both sides by 9 )

x = 8

Answer:

Yes

Step-by-step explanation:

it can be written as a fraction

Answer:

x=-70

Step-by-step explanation:

x+47=-23

-47   -47

_______________

x=-70

Hope this helps :D

Answer:

X=70

Step-by-step explanation:

Answer:

332

Step-by-step explanation:

Since Dana had the closest guess with 325 people and Elijah had the second closest guess with 340 people we know that the actual number of guests is close to these values. Since Brady had the farthest guess then that means that the actual number of guests is higher than 325 and lower than 340. Therefore the actual number of guests can only be 332 as it is between Dana and Elijah's guesses but still favoring Dana, and also being farthest from Brady's guess.

Step-by-step explanation:

The systems of linear equations can have:

1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.

Answer: between $4 and $5; inclusive

Answer:

The values of x for which the model is 0 ≤ x ≤ 3

Step-by-step explanation:

The given function for the volume of the shipping box is given as follows;

V = 2·x³ - 19·x² + 39·x

The function will make sense when V ≥ 0, which is given as follows

When V = 0, x = 0

Which gives;

0 = 2·x³ - 19·x² + 39·x

0 = 2·x² - 19·x + 39

0 = x² - 9.5·x + 19.5

From an hint obtained by plotting the function, we have;

0 = (x - 3)·(x - 6.5)

We check for the local maximum as follows;

dV/dx = d(2·x³ - 19·x² + 39·x)/dx = 0

6·x² - 38·x + 39 = 0

x² - 19/3·x + 6.5 = 0

x = (19/3 ±√((19/3)² - 4 × 1 × 6.5))/2

∴ x = 1.288, or 5.045

At x = 1.288, we have;

V = 2·1.288³ - 19·1.288² + 39·1.288 ≈ 22.99

V ≈ 22.99 in.³

When x = 5.045, we have;

V = 2·5.045³ - 19·5.045² + 39·5.045≈ -30.023

Therefore;

V > 0 for 0 < x < 3 and V < 0 for 3 < x < 6.5

The values of x for which the model makes sense and V ≥ 0 is 0 ≤ x ≤ 3.

The values of x for which the model makes sense are 13/2 and 3

The equation that represents the volume of the box is given as:

[tex]V =2x\³ -19x\² +39x[/tex]

Factor out x from the above equation

[tex]V =x(2x^2 -19x +39)[/tex]

Expand the above equation, as follows

[tex]V =x(2x^2 -6x - 13x +39)[/tex]

Factorize the above equation

[tex]V =x(2x(x -3) - 13(x -3))[/tex]

Factor out x - 3

[tex]V =x(2x -13)(x -3)[/tex]

Equate to 0

[tex]x(2x -13)(x -3) = 0[/tex]

Solve for x

[tex]x = 0[/tex] or [tex]x = 13/2[/tex] or [tex]x = 3[/tex]

The value of x cannot be 0.

Hence, the values of x for which the model makes sense are 13/2 and 3

Read more about volumes at:

https://brainly.com/question/1972490

Answer:

[tex]189 {m}^{3} [/tex]

Step-by-step explanation:

[tex]9 \times 3 \times 7 \\ = 189 {m}^{3} [/tex]

[tex]3 \times 9 \times 7 \\ = 189 {m}^{3} [/tex]

Answer:

10 points

Step-by-step explanation:

Points scored in each of the first 3 quarter = x

Total points scored in the first 3 quarter = x + x + x

= 3x

Points scored in the fourth quarter = 14

Total points scored = 44 point

Total points scored = Total points scored in the first 3 quarter + Points scored in the fourth quarter

44 = 3x + 14

Subtract 14 from both sides

44 = 3x + 14

44 - 14 = 3x + 14 - 14

30 = 3x

Divide both sides by 3

x = 30/3

= 10

x = 10 points

Points scored in each of the first 3 quarter = x = 10 points

The school football team scored 10 points points in the first quarter

Answer:

The 108 it should be more

Step-by-step explanation:

Answer:she forgot the decimal

Step-by-step explanation

Answer:

using pi *r^2 *h

volume = 2614.14 cubic ft

Answer:

2612.48 ft3

Step-by-step Explanation:

i got it right on the quiz

Answer:

3c + 5 = 12

Step-by-step explanation:

9 * 2c = 42

18c = 42

c = 42/18 = 7/3

3x + 5 = 3(7/3) + 5 = 7 + 5 = 12

Answer:

In mathematics, a power of three is a number of the form 3n where n is an integer, that is, the result of exponentiation with number three as the base and integer n as the exponent.

Answer:

I think it's a 72.36% increase

Step-by-step explanation:

I'm not completely sure but that's what the calculator I used said..

Answer:

3

Step-by-step explanation:

Find the amount of change.

Amount of change = Greater Value − Lesser Value

= 131 − 127 Substitute values.

= 4 Subtract.

Find the percent increase. Round to the nearest percent.

Percent Change =  

Amount of Change

Original Amount

=  

4

131

 Substitute values.

≈ 0.03 Divide and round to the nearest hundredth.

= 3% Write as a percent.

The percent decrease is 3%.

pls press the heart if this was helpful

Answer:

5, 1.75, .001, and -0.1

Step-by-step explanation:

Number As a Fraction Rational?

5                  5/1             Yes

1.75                  7/4              Yes

.001               1/1000      Yes

−0.1               −1/10              Yes

Hope this Helps (✿◡‿◡)

P.S I got this off the internet.

Answer:

c 30 bc oki

Step-by-step explanation:

Answer:

It’s 35

Step-by-step explanation:

I took the test before…fixx

Answer:

$60

Step-by-step explanation:

Answer: 2x+y=-6

Step-by-step explanation:

Answer:

Kay sold 6 boxes and Ayan sold 19 boxes

Step-by-step explanation:

Let x be the number of boxes sold by Kay and

Let y be the number of boxes sold by Ayan

Then according to given statements, the equations will be:

[tex]x+y = 25\ \ \ Eqn\ 1\\x = y-13\ \ \ Eqn\ 2[/tex]

Putting x = y-13 in equation 1

[tex]y-13+y = 25\\2y-13=25\\2y=25+13\\2y = 38\\\frac{2y}{2} = \frac{38}{2}\\y = 19[/tex]

Putting y = 19 in equation 2

[tex]x = 19-13 = 6[/tex]

So we get x=6 and y=19

Hence,

Kay sold 6 boxes and Ayan sold 19 boxes

Answer: first one

Step-by-step explanation: 34% of 19 is 6.46 and 1/3*18=18/3=6 so its the closest out of the others