Using the information provided, identify the
domain and range.

I really need help I don’t understand this

Answer:

(x - 1)(3x + 2)

Step-by-step explanation:

By the Remainder theorem

Given expression is divisible by x - 1 then f(1) = 0

when divided by (x + 1) then f(- 1) = 2

when divided by x - 2 then f(2) = 8

Substitute x = 1, x = - 1, x = 2 into the expression , that is

a + b + c = 0 → (1)

a - b + c = 2 → (2)

4a + 2b + c = 8 → (3)

Subtract (1) from (2) to eliminate a and c

- 2b = 2 ( divide both sides by - 2 )

b = - 1

Subtract (1) from (3) to eliminate c

3a + b = 8 ← substitute b = - 1

3a - 1 = 8 ( add 1 to both sides )

3a = 9 ( divide both sides by 3 )

a = 3

Substitute a = 3, b = - 1 into (1) and evaluate for c

3 - 1 + c = 0

2 + c = 0 ( subtract 2 from both sides )

c = - 2

Then a = 3, b = - 1, c = - 2

Thus

ax² + bx + c

= 3x² - x - 2

= (x - 1)(3x + 2) ← in factored form

Answer:

-2(2-5x)

Step-by-step explanation:

3+2×(5x)-7

Calculate the difference

-4+2×(5x)

Factor out -2 from the expression

-2(2-5x)

Thats the answer: -2(2-5x)

Hope this helps

Answer:

[tex] - 11 \frac{1}{2} [/tex]

Step-by-step explanation:

8x + 5y = 7

4x - 5y = 11

If you all it all up we have

8x + 4x +5y - 5y = 18

12x=18

x=18/12=1.5=3/2 = 1 whole number 1 over 2(1 1/2)

subtituting the value of x into equation 1(8x + 5y = 7)

8(1.5) + 5y = 7

5y=7-12

5y = -5

y=-5/5

y= -1

Answer:

the sum of interior angles of a quadrilateral = 360 degree

Step-by-step explanation:

therefore,

let the angle C be X

124 + 96 + 94 + X = 360

314 + X = 360°

X = 360 - 314 = 46°

angle C = 46°

Answer:

46 degrees

Step-by-step explanation:

Answer:

please include an image for the question

ANSWER:

2.5x + 100=600

x=200

step by step explanation:

Answer:lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.8 x 10^3

Answer:

2.8x×10³

Step-by-step explanation:

Answer:

Its 0 because thats the only value not bigger than 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Any value to the left of 4 is a solution to x < 4

The only value on the list that is left of 4 is 0 → B

Answer:

Length=6 ft

Step-by-step explanation:

Answer:

156 in squared

Step-by-step explanation:

So the formulas will be stated below

Parallelogram Area= 1/2h(b1+b2)

Square Area= Bh

So first do

(4)(12+6)

(4)(18)

No need to half it bc there's the same shape at the bottom

72+18+30+36

6(3)

3x5(2)

12(3)

Answer:

Perimeter of trapezoid = 25.66 cm

Step-by-step explanation:

Trapezoid ABCD contains two triangles ΔABF, ΔCDE and a square with side length 4 cm.

By applying Pythagoras theorem in ΔABF,

AB² = BF² + AF²

AB² = 4² + 3²

AB = [tex]\sqrt{16+9}[/tex]

AB = 5 cm

Similarly, By applying Pythagoras theorem in ΔCDE,

CD² = DE² + CE²

CD² = 4² + 4²

CD = [tex]\sqrt{32}[/tex]

CD =5.66 cm

Perimeter of the given trapezoid = AB + BC + CD + AD

= 5 + 4 + 5.66 + (3 + 4 + 4)

= 25.66 cm

Answer:

A,D,E,

Step-by-step explanation:

Answer:

3 c  3 3 3 33  3 the 3 one

Step-by-step explanation:

Answer:

8 and 9

Step-by-step explanation:

Find the 2 perfect square either side of 72 , that is

64 < 72 < 81 , then

[tex]\sqrt{64}[/tex] < [tex]\sqrt{72}[/tex] < [tex]\sqrt{81}[/tex]

8 < [tex]\sqrt{72}[/tex] < 9

Given:

The area of a rectangle = 14 square units.

The side lengths are a and b.

[tex]a=2\dfrac{1}{3}[/tex]

To find:

The value of b.

Solution:

We know that, the area of a rectangle is:

[tex]Area=Length\times Width[/tex]

The area of the given rectangle is:

[tex]14=a\times b[/tex]

[tex]14=2\dfrac{1}{3}\times b[/tex]

[tex]14=\dfrac{2(3)+1}{3}b[/tex]

[tex]14=\dfrac{6+1}{3}b[/tex]

On further simplification, we get

[tex]14=\dfrac{7}{3}b[/tex]

[tex]14\times 3=7b[/tex]

[tex]42=7b[/tex]

Divide both sides by 7.

[tex]\dfrac{42}{7}=b[/tex]

[tex]6=b[/tex]

Therefore, the value of b is 6 units.

Given:

AB= 20, BV=12, VA=14 and SR is a mid segment.

To find:

The lengths of SR and AR.

Solution:

SR is a mid segment. So, SR is parallel to the non-included side BV and the length of SR is half of BV.

[tex]SR=\dfrac{1}{2}BV[/tex]

[tex]SR=\dfrac{1}{2}(12)[/tex]

[tex]SR=6[/tex]

SR is a mid segment. So, it divides the included sides in two equal parts. It means R is the midpoint of VA.

[tex]AR=\dfrac{1}{2}VA[/tex]

[tex]AR=\dfrac{1}{2}(14)[/tex]

[tex]AR=7[/tex]

Therefore, the measure of SR is 6 units and the measure of AR is 7 units.

Answer:c=2 √1129 or c=−2 √1129

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

c^2=4516

Step 2: Take square root.

c=±√4516

c=2√1129 or c=−2√1129

Answer:

. g(x)=2x^2+10x+12=2x²+6x+4x+12=2x(x+3)+4(x+3)

=(x+3)(2x+4)=2(x+2)(x+3)

Answer:

2(x + 3)(x + 2)

Step-by-step explanation:

All three terms of g(x)=2x^2+10x+12 have the factor 2, so

g(x)=2x^2+10x+12 = 2(x^2 + 5x + 6).

This can be factored further, into:

                                 2(x + 3)(x + 2)

Answer:

24cm3

Step-by-step explanation:

Answer: 37ft^2

Step-by-step explanation:

Create two separate figures. A full square 3x3 and a rectangle 7x4.

The 7ft line on the right minus 3 ft (because we are cutting out that section of the figure) = 4ft

Area of 3x3 square = 3^2 = 9ft^2

Area of 7x4 rectangle = 7x4 = 28ft^2

28+9= 37ft^2

Answer:

I don't know what is your name is your

Answer:

The answer is c = 17 feet

Step-by-step explanation:

The formula to find the hypotenuse is a^2 + b^2 = c^2 (a squared plus b squared equals c squared).  

a = 8 feet

b = 15 feet

a^2 = 8 * 8 = 64

b^2 = 15 * 15 = 225

The next step is to add: 64 + 225 = 289

But we need to remember to square root 289 because we squared a and b.

The square root of 289 equals 17

c = 17 feet

Answer: n= 18

Step-by-step explanation: 3/8 of 48 is the same as 3/8 times 48

Answer:

18

Step-by-step explanation:

48 divided into 8 parts is 6

3x6=18

Answer:

180

Step-by-step explanation:

Answer:

504

Step-by-step explanation:

first you would multiply 6 * 15 * 4 for the bases. then you multiply 6 *12*2 for the ends.  that leaves you with 360 and 144.  you add those two together to get 504

Answer:

D

Step-by-step explanation:

....iam not sure but i think its a because the other impossible

Answer:

The answer is D.

Step-by-step explanation:

For A- I don't think it's greater, I think they are the same.

For B- I don't think it's greater, I think they are the same.

For C- Segment AE is longer than Segment AB.

So D seems like the more logical answer.

Answer:

The answer is 44

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Since it gives us the amount of area of material to use we know we want to find how many times we can divide it into tablecloths.  So now we need to find how much each tablecloth is.

so first it tells us that each table has a radius of 2 ft, so we find the area using that.  area of a circle is [tex]\pi r^2[/tex] so plugging in 2 ft we get 4π square feet or 12.56.

It also says that each tablecloth needs to be 20% bigger, so we find what 20% larger than 4π is.  to do this you do 4pi*1.2 = 4.8π = 15.072 square feet.

Now, how many tablecloths with areas of 15.072 square feet can be made from 64 square feet.  Hopefully it's obvious you divide.  so 64/15.072 = 4.25

Since we want whole tablecloths and that .25 is a remainder, 4 whole tablecloths can be made.