What are the domain restrictions of q^2+7q-8/q^2-3q-4

A) q = 1 and q = -8

B) q = -1 and q = 8

C) q = -1 and q = 4

D) q = 1 and q = -4

Answer:

the answer is B

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The domain is the list of x-values of the points on the graph. It is ...

  {-5, -4, 2, 5}

The range is the list of y-values of the points on the graph. It is ...

  {-6, 1, 3, 4, 5}

__

Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.

If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.

Answer:

23.5 gallons

Step-by-step explanation:

The gas tank in Daniel's car has a capacity of 19.1 gallons.  

On a trip to see his best friend Daniel begins with 12.8 gallons of gas in the tank.  

He stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons.  

When Daniel arrives at his friend's house, he has 3.7 gallons of gas left.  

Total amount of gas filled was (12.8 + 14.4) = 27.2 gallons.

The amount of gas remaining after the trip was 3.7 gallons

The amount of gas, in gallons, used by Daniel on his trip was 27.2 - 3.7 = 23.5 gallons

Answer:

fat nuts

Step-by-step explanation:

i forgor

Answer:

42

Step-by-step explanation:

4x + 2 = 1/2 (4x + 44)                Be careful how you do this. I have multiplied both sides by 2

2(4x + 2) = 4x + 44                    Remove the brackets (distributive)

8x + 4 = 4x + 44                        Subtract 4x from both sides

8x-4x + 4 = 44                          

4x + 4 = 44                                Subtract 4 from both sides

4x + 4-4 = 44-4

4x = 40                                       Divide by 4

4x/4 = 40/4

x = 10

The mid line is 4x + 2

The mid line is 4*10 + 2

The mid line is 40 + 2

The mid line is 42

The base is 4x + 44

The base is 4*10 + 44

The base is 40 + 44 = 84 which is twice the midline. I did this just to show it is twice as big as the midline.

Answer:

[tex]\huge\boxed{\dfrac{68}{125}=0.544}[/tex]

Step-by-step explanation:

[tex]\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544[/tex]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line

m = [tex]\frac{6-0}{0+3}[/tex] = [tex]\frac{6}{3}[/tex] = 2

Answer:

The slope of the line is 2. To find the slope I marked two points on the line, which were (-3, 0) and (-2, 2). Then I used the [tex]\frac{Rise}{Run}[/tex] technique. Moving up 2 units and to the right 1 unit, which would be represented by [tex]\frac{2}{1}[/tex].

Answer:

3/10

Step-by-step explanation:

3/10

In simplest form, 30% as a fraction is 3/10. We know that 30% = 30/100

Answer:

Each bracelet cost $2 to make.

Step-by-step explanation:

I did the assignment.

Answer:

$2

Step-by-step explanation:

(Brainliest plz) if im right

Answer:

1. 2/3

2. 11/10

3. 1/3

hope it helps

Answer:

7

Step-by-step explanation:

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer:

7 notebooks

Step-by-step explanation:

The total for the nine will be 9.73 I’d you get 8 notebooks it will be 11.12 with us too much.

Answer:

1/2 and - 1/2

Step-by-step explanation:

umm ok so for slope you do m = y2-y1/ x2-x1 which can probably be any point since they havent specified so we will do

A)   L (-8,8) and (0,4)M

m= 4-8/0-8

=-4/-8

=  1/2

B ) now for b its asking for the certain points of

n and p

(4,2) N and (8,0) P

m= y2-y1/x2-x1 = 0-2/8-4= -2/4 = - 1/2 for ur slope

these should be right.

x=7

I'm sorry if I'm wrong

the inequality would be 18>1.5x

this basically means $18 is greater than or equal to 1.5x, where x is the number of peppers you buy at $1.50 for each pepper. So you can buy any amount of peppers from 0 to 12. If you want to make the inequality better it would be 18>1.5x>0 because you can't buy less than 0 peppers

Question:

You are running a fuel economy study. One of the cars you find is blue. It can travel [tex]44\frac{1}{2}[/tex] miles on [tex]1\frac{1}{4}[/tex] gallons of gasoline.

Another car is red. It can travel [tex]25\frac{3}{5}[/tex] on [tex]\frac{4}{5}[/tex] gallon of gasoline.

What is the unit rate for miles per gallon for each​ car?

Which car could travel the greater distance on 1 gallon of​ gasoline?

Answer:

(a)

[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]

[tex]Rate = 32\ miles\ per\ gallon[/tex]

(b)

The blue car will travel faster

Step-by-step explanation:

Given

Blue Car:

[tex]Distance = 44\frac{1}{2}\ miles[/tex]

[tex]Gasoline = 1\frac{1}{4}\ gallons[/tex]

Red Car

[tex]Distance = 25\frac{3}{5}\ miles[/tex]

[tex]Gasoline = \frac{4}{5}\ gallons[/tex]

Solving (a):

This is solved by dividing the distance travelled by the amount of gasoline.

i.e.

[tex]Rate = Distance/Gasoline[/tex]

Blue Car:

[tex]Rate = 44\frac{1}{2} / 1\frac{1}{4}[/tex]

[tex]Rate = \frac{89}{2} / \frac{5}{4}[/tex]

[tex]Rate = \frac{89}{2} * \frac{4}{5}[/tex]

[tex]Rate = \frac{89}{1} * \frac{2}{5}[/tex]

[tex]Rate = \frac{89 * 2}{1 * 5}[/tex]

[tex]Rate = \frac{178}{5}[/tex]

[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]

Red Car:

[tex]Rate = 25\frac{3}{5}/\frac{4}{5}[/tex]

[tex]Rate = \frac{128}{5}/\frac{4}{5}[/tex]

[tex]Rate = \frac{128}{5} * \frac{5}{4}[/tex]

[tex]Rate = \frac{128 * 5}{5 * 4}[/tex]

[tex]Rate = \frac{128}{4}[/tex]

[tex]Rate = 32\ miles\ per\ gallon[/tex]

(b)

In (a), we have:

[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex] --- Blue Car

[tex]Rate = 32\ miles\ per\ gallon[/tex] --- Red Car

By comparison:

The rate of the blue car is greater than that of the red

Hence, the blue car will travel faster

Answer:

m = 8

22/2 = 11

11 - 3 = 8

m = 8

Answer:

ABC = 55°

Step-by-step explanation:

Angle A plus Angle C equals Angles B.

Add them together then subtract from 180°.

Answer:

10.50x + 15 = y

Step-by-step explanation:

x = amount of hours spent babysitting.

y = total amount of money.

96:28

96 baseballs to 28 baseball gloves

Answer:

120 m/h

120 m/(3600 seconds)

(1/3)m/s

15 * (1/3) = 5

He travels 5 miles in 15 seconds

Step-by-step explanation:

Answer:

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

Answer:

2(100 − x)

Distribute the 2:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

Mark me brainliest please?

Answer:

A, B, C, and E

Step-by-step explanation:

SSA doesn't work because this leaves room for two possible answers in some situations.

The other postulate, HL (hypotenuse-leg) works for right triangles; it's basically a short cut for SSS postulate because if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg on another, the other side also has to be congruent.

The criteria can be used to prove triangles are congruent: ASA, AAS, SAS and HL.

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

Two triangles are said to be congruent if they are of the same size and same shape.

Necessarily, not all the six corresponding elements of both the triangles must be found to determine that they are congruent.

Based on studies and experiments, there are 5 conditions for two triangles to be congruent.

They are SSS, SAS, ASA, AAS, and RHS congruence properties.

The postulate, known as HL (hypotenuse-leg), is applicable to right triangles.

As if a right triangle's hypotenuse and leg are congruent with those of another, then the other side must likewise be congruent.

Learn more about congruence of triangles here:

https://brainly.com/question/20521780

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Answer:

Step-by-step explanation:

2√54+5√24

2 * sqrt(9*6) + 5*sqrt(4*6)

2*sqrt(9) *sqrt(6) + 5*sqrt(4) * sqrt(6)

2*3 sqrt(6) + 5*2 sqrt(6)

6sqrt(6)+10sqrt(6)

16sqrt(6)

Answer:

16sqrt(6)

Step-by-step explanation:

Answer: 11 batches of muffins

Step-by-step explanation:

From the question, we are given the information that Jim is baking chocolate chip muffins and that he has a total of 7 1/3 cups of chocolate chips, and each batch of muffins uses 2/3 of a cup of chocolate chips.

The most number of batches of muffins that Jim can make will be gotten by dividing 7 1/3 by 2/3. This will be:

= 7 1/3 ÷ 2/3

= 22/3 ÷ 2/3

= 22/3 × 3/2

= 11

Jim can make 11 batches of muffins.

Answer:

x = 3

Step-by-step explanation:

Given

3x + 6x + 14 = 41, that is

9x + 14 = 41 ( subtract 14 from both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Answer:

x=3

Step-by-step explanation:

3x+6x+14=41

9x + 14 = 41

    - 14 = - 14

9x = 27

x=3

Answer:

(2,5) and (7,12.5)

Step-by-step explanation:

Solve for change in y over change in x using the points (3,13/2) and (6,11). You can then get the equation y=1.5x+2. Then plug in the values you are given from the missing points using the equation. Hope this helped! If it did, please mark the brainliest.

Answer:

18

Step-by-step explanation:

don't step answer. Because I am lol

Answer:

60 degrees. Aaaaaaaaaa

Answer:

use a2+b2=c2 so

Step-by-step explanation:

11(squared)+b(squared)=13(squared)

=121+b2=169

-121. -121

b2= 48

square root 48

Side B= 6.928

and then just round 6.928

hope this helped

Using the Pythagorean Theorem, it is found that the side length is of x = 6.93.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem, we have that:

[tex]h = 13, l_1 = 11, l_2 = x[/tex]

Hence, applying the Theorem:

[tex]h^2 = l_1^2 + l_2^2[/tex]

[tex]13^2 = 11^2 + x^2[/tex]

[tex]x^2 = 169 - 121[/tex]

[tex]x = \sqrt{48}[/tex]

x = 6.93.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675

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