factor 6 out of [tex]6x^2[/tex] - 18

Answer:

Graph both inequalities and see if the point lies in the overlapping shaded region.

Step-by-step explanation:

Answer:

f(-2)= -12Step-by-step explanation:f(-2)= 3*2(-2)f(-2)= 3*(-4)f(-2)= -12.

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

Answer:

16

4

[tex]4 \div ( \frac{25}{100}) = 400 \div 25 = 16 [/tex]

Answer:

  D.  f(x) = -6x^3 -5x^2 +21x

Step-by-step explanation:

The given zeros mean the function has factors ...

  (x -(-7/3))(x -3/2)(x -0)

Multiplying by 6, we can write this as ...

  (3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x

And multiplying by -1 gives ...

  -6x^3 -5x^2 +21x . . . . . matches choice D

__

Additional comment

The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).

First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.

Hope this helps!

Answer: b(x) and c(x)

Step-by-step explanation:

Answer:

Incorrect

Step-by-step explanation:

for your slope go down two to the right one

The given ratios expresses the number of time a value is larger or smaller

than another value.

The correct responses are;

Reasons:

3. Given that the perimeter of the rectangle = 72

The ratio of the lengths of the sides = 1:2

Let a and b represent the sides, we have;

2·a + 2·b = 72

[tex]\displaystyle \frac{a}{b} = \mathbf{\frac{1}{2}}[/tex]

Which gives;

2·a = b

2·a + 2·(2·a) = 72

6·a = 72

a = 72 ÷ 6 = 12

b = 2·a = 2 × 12 = 24

The lengths of the sides are; (B) 12 and 24

4. Extended ratio = 2:3:7

The perimeter = 36

The lengths of the sides are;

[tex]\displaystyle \frac{2}{2 + 3 + 7} \times 36 = \mathbf{6}[/tex]

[tex]\displaystyle \frac{3}{2 + 3 + 7} \times 36 = \mathbf{9}[/tex]

[tex]\displaystyle \frac{7}{2 + 3 + 7} \times 36 = \mathbf{21}[/tex]

The lengths are; (D) 6, 9, 21

5. The given equation is presented as follows;

[tex]\displaystyle \frac{5}{x + 7} = \mathbf{\frac{3}{x + 2}}[/tex]

5 × (x + 2) = 3 × (x + 7)

5·x + 10 = 3·x + 21

5·x - 3·x  = 21 - 10

2·x = 11

[tex]\displaystyle x = \mathbf{ \frac{11}{2}}[/tex]

The correct option is; [tex]\displaystyle \underline{(E) \ \frac{11}{2}}[/tex]

6. The width to length ratio is [tex]\displaystyle \mathbf{\frac{2.5}{7.0}}[/tex]

The simplified ratio is therefore;

[tex]\displaystyle \frac{2.5}{7.0} = \frac{2 \times 2.5}{2 \times 7.0} = \mathbf{\frac{5}{14}}[/tex]

The correct option is (E) [tex]\displaystyle \underline{(E) \ \frac{5}{14}}[/tex]

7. The given ratio of the lengths is 3:1

Therefore;

[tex]\overline{BC}[/tex]:[tex]\overline{EF}[/tex] = 3:1

Which gives;

[tex]\displaystyle \mathbf{\frac{\overline{BC}}{\overline{EF}}} = \frac{3}{1}[/tex]

[tex]\overline{BC}[/tex] = 18

Therefore;

[tex]\displaystyle \frac{18}{\overline{EF}} = \frac{3}{1}[/tex]

18 × 1 = 3 × [tex]\overline{EF}[/tex]

[tex]\displaystyle \overline{EF} = \frac{18 \times 1}{3} = 6[/tex]

[tex]\overline{EF}[/tex] = 6

By Pythagorean theorem, we have;

[tex]\overline{DF}[/tex]² = [tex]\mathbf{\overline{DE}}[/tex]² + [tex]\mathbf{\overline{EF}}[/tex]²

Which gives;

[tex]\overline{DF}[/tex]² = 3² + 6² = 45

[tex]\overline{DF}[/tex] = √(45) = 3·√5

Using the given ratio, we have;

[tex]\overline{AC}[/tex] = 3 × [tex]\mathbf{\overline{DF}}[/tex]

Which gives;

[tex]\overline{AC}[/tex] = 3 × 3·√5 = 9·√5

[tex]\overline{AC}[/tex] = 9·√5

The correct option is; (B) [tex]\overline{EF}[/tex] = 6, [tex]\overline{AC}[/tex] = 9·√5

8. EF = 1, AB = 2

CD = 2, CE = 4

Therefore;

[tex]\displaystyle \mathbf{\frac{EF}{AB}} =\frac{1}{2}[/tex]

[tex]\displaystyle \mathbf{\frac{CD}{CE}} =\frac{2}{4} = \frac{1}{2}[/tex]

Which gives;

[tex]\displaystyle \frac{EF}{AB} =\displaystyle \mathbf{\frac{CD}{CE}}[/tex]

(C) The values are equal

9. AC = 6, BE = 8

DF = 3, BD = 6

Column A

[tex]\displaystyle \frac{AC}{BE} =\displaystyle \mathbf{\frac{6}{8}} = \frac{3}{4}[/tex]

Column B

[tex]\displaystyle \frac{DF}{BD} =\displaystyle \mathbf{\frac{3}{6}} = \frac{1}{2}[/tex]

[tex]\displaystyle \frac{3}{4} > \mathbf{\frac{1}{2}}[/tex]

Therefore;

Column A is greater than column B

(A) The value in column A is greater

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Answer:

The slope is steeper and the line is shifted flatter.

Step-by-step explanation:

I have provided a graph to help illustrate the relationship between these two lines, (The red line is line A which is y = 2x + 4, and the blue line is line B which is y = 4x + 9).

As you can see, the slope does determine the steepness of the lines. This means that line A's slope is going up 2 units and over to the right 1 unit, whereas line B's slope is going up 4 units and to the right 1.

Therefore, if line A is to transform into line B, then its slope will be steeper.

Hope this helps you :)

Also, P.S. I don't know if there are supposed to be more options, so I apologize if flatter does not belong in the second box.

Answer:

7:1

Step-by-step explanation:

There are two cubes, one with 14 cm and one with 2 cm. 14:2 is equal to 7:1.

Answer: C) Move it 3 places to the left

Explanation:

We're dividing the number [tex]34.62[/tex] by [tex]10^3[/tex], which is the same as dividing by 1000.

The exponent 3 tells us how many spots to move the decimal point. We move to the left because the number gets smaller. If we multiplied by [tex]10^3[/tex], then we'd move the decimal point 3 spots to the right.

So, [tex]34.62 \div 10^3 = 34.62 \div 1000 = 0.03462[/tex]

Answer:

14

Step-by-step explanation:

so the hypotenuse for both triangles is 19.use Pythagoras theorem to get the base of both triangles as 8.5cm each.add the two bases and get 17.minus 17 from 31 to get 14cm as the remaining part

don't quote me on this but I'm pretty sure it's H multiplication property of inequality

Answer:

you should use minimum 8 black cur

Answer:

11

Step-by-step explanation:

Answer:

it is experimental

Step-by-step explanation:

okay

Answer:

I think it's-12

I am not sure

Please ask to some one else please

Answer:

10 Dimes and 5 Quarter

Step-by-step explanation:

Important info:

18 Coins worth a total of $2.25

Note:

Dimes = .10

Quarter = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many each type of Coin does she have?

Solution:

Lets get rid of .25 in $2.25 :)

So that 1 Quarter..

2.00

Takes away 1.00 = 10 Dimes

Now we have 1 Quarter and 10 Dimes.

1.00 Left..

4 Quarter = 1.00

So now we have 5 Quarter and 10 Dimes..

Check Work:

5 Quarter = 1.25 and 10 Dimes = 1.00

1.25+1.00=

$2.25

Hence. Gloria has 5 Quarter and 10 Dimes.

{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}

→[RevyBreeze]←

Based on the information given, it should be noted that her weekly salary will be B. $1,038.46.

It should be noted that there are 52 weeks in one year.

Based on the information given, the annual salary is given as 54000.

Therefore, the weekly salary will be:

= Annual salary / Number of weeks.

= 54000 / 52

= $1038.46

Her weekly salary is $1038.46.

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Answer:

x<4

Step-by-step explanation:

−2x^2−8x−6

Expand (−2x-2)(x+3) using the FOIL Method.−2x⋅x−2x⋅3−2x−2⋅3

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Answer:

55 from un-pure and 165 from pure

Step-by-step explanation:

to get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)

we call the un-pure mixture a and the pure mixture b

all un-pure parts come from a and b in the following ratios

11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)

which we can then solve as:

a = 55

all pure parts come from a and b in the following rations

209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)

now we can replace a with 55 (from above)

209 = 44 + b,  and solve to

b = 165

now to double check

55 * (0.8x + 0.2y) + 165x would give you

44x + 11y + 165x, which is

11x + 209y and if you then check the ratio

209 / (209+11) = 0.95 again

There will be 55 pints and of un-pure and 165 pints of pure fruit drinks.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

To get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)

We call the un-pure mixture a and the pure mixture b

All un-pure parts come from a and b in the following ratios

11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)

which we can then solve as:

a = 55

All pure parts come from a and b in the following rations.

209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)

Now we can replace a with 55 (from above)

209 = 44 + b,  and solve to

b = 165

Now to double check

55 x (0.8x + 0.2y) + 165x would give you

44x + 11y + 165x, which is

11x + 209y and if you then check the ratio

209 / (209+11) = 0.95

Therefore, there will be 55 pints of unpure and 165 pints of pure fruit drinks.

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Answer:

22 years old

Step-by-step explanation:

Sarah - 49 years old

Leo - 38 years old

Mary - 22 years old

Jordan - 41 years old

 I think I'm right

Answer: the answer is 3.7%

Step-by-step explanation:

We know there’s total 80 glasses and if 3 are broken we can represent it in a fraction which is 3/80

3/80=0.0375

to find percentage take 0.0375 and multiply it by 10 to get 3.7

therefor the answer is 3.7%

Answer:

y=-4/5x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-6)/(10-(-5))

m=-12/(10+5)

m=-12/15

simplify

m=-4/5

y-y1=m(x-x1)

y-6=-4/5(x-(-5))

y-6=-4/5(x+5)

y=-4/5x-20/5+6

y=-4/5x-4+6

y=-4/5x+2

x+y=0

Step-by-step explanation:

x= 1.75

y= -1.75