How do you solve this?

Hello, we need to see it as a difference of two squares as we know that for all a and b real numbers

[tex]a^2-b^2=(a-b)(a+b)[/tex]

So, here

[tex]9x^2-4=(3x)^2-2^2=(3x-2)(3x+2)[/tex]

Voila !

Thank you

Answer:

3.5 miles per day

Step-by-step explanation:

There are 7 days in a week

24.5 miles in a week

24.5 / 7 days

3.5 miles per day

Answer:

3.4 miles

Step-by-step explanation:

You would divide 24.5 by 7 since there are 7 days in a week giving you a quotient of 3.5

Answer:

vertex = (- 1, - 4.5 )

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{2}[/tex] (x - 2)(x + 4)

The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.

To find the zeros let f(x) = 0, that is

[tex]\frac{1}{2}[/tex] (x - 2)(x + 4) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 4 = 0 ⇒ x = - 4

The x- coordinate of the vertex is therefore

x = [tex]\frac{-4+2}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

Substitute x = - 1 into f(x) for corresponding y- coordinate

f(- 1) = [tex]\frac{1}{2}[/tex] (- 1 - 2)(- 1 + 4) = [tex]\frac{1}{2}[/tex] × - 3 × 3 = 0.5 × - 9 = - 4.5

Coordinates of vertex = (- 1, - 4.5 )

The original equation: y = |x - 1| + 7

The new equation: y = |-x - 1| + 8

Answer:

y - 5 = -3(x-1)

Step-by-step explanation:

We have the slope and a point

Point slope form is

y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line

y - 5 = -3(x-1)

he has less marbles

Step-by-step explanation:

Answer:

79.83

I rounded to the nearest hundredth

Answer:

the sequence first numbe * 2, +3, *2

so 48 doesnot belong it should be 58

Step-by-step explanation:

Answer:

70 times.

Step-by-step explanation:

The following data were obtained from the question:

SHAPE >>>>>>>>>>>>> FREQUENCY

Oval >>>>>>>>>>>>>>> 18

Rectangle >>>>>>>>>> 14

Star >>>>>>>>>>>>>>> 8

TOTAL >>>>>>>>>>>>> 40

next, we shall determine the probability of chosing a rectangular cracker. This is illustrated below:

Event of Rectangle (nR) = 14

Sample space (S) = 40

Probability of chosing rectangle, P(R) =?

P(R) = nR/nS

P(R) = 14/40

P(R) = 7/20

Therefore, the probability of chosing a rectangular cracker is 7/20.

Thus, if the process were carried out 200 times, the probability of chosing a rectangular cracker will be:

= P(R) × 200

P(R) = 7/20

= 7/20 × 200

= 70

Therefore, max will chose a rectangular cracker 70 times.

Answer: 49

Step-by-step explanation:

The numerical length of RT is 49 units if point S is on the line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Point S is on line segment RT.  

ST = 2x – 10,

RS = 2x - 5, and

RT = 3x + 1,

RT = RS + ST

3x + 1 = 2x - 5 + 2x - 10

The above equation is representing a linear equation in one variable.

After simplifying:

3x + 1 = 4x - 15

4x - 3x = 15 + 1

x = 16

RT = 3x + 1

Plug x = -14

RT = 3(16) + 1

RT = 48 + 1

RT = 49

The numerical value of RT = 49

Thus, the numerical length of RT is 49 units if point S is on line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

Step-by-step explanation:

speed=distance/time

20 minutes=1/3 hours

=3*3/1

=1miles/hour

Answer:

15 games

Step-by-step explanation:

9 divided by 0.75 = 12

12 + 3 free games = 15

Step-by-step explanation:

f(x) = -5x + 2

f(7) = (-5)(7) + 2

= -35 + 2

= -33

Answer:

f (x) = -5x + 2.

= -5*7+2

= -13

Step-by-step explanation:

I guess I was help full for u

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Answer:

Step-by-step explanation:

2/3

Answer:

x < 9

Step-by-step explanation:

x is less than nine

x < 9

Answer:

x<9

Step-by-step explanation:

less than symbol is this <

The question is x is less than 9

so

x<9

Hope this helps!

Answer:

800

Step-by-step explanation:

Answer:

answer is

Step-by-step explanation:

-37

have a good day

i need points

Answer: I think option A

Step-by-step explanation:

Answer:

192 square feet of material

Step-by-step explanation:

You find the area of the pool, which is length x width, and that is 12 x 16, which is equal to 192

I hope this helps!

Answer:

16 x 12=192

Step-by-step explanation:

Answer:

Your answer is B. #795. Hope this helps!

Answer:

B. $795

Step-by-step explanation:

Answer: g(x) = -4x + 5

Please mark me brainliest instead of points

Answer:

60

Step-by-step explanation:

Form on number to the other there is a difference,and the difference are all odd numbers

From 100 to 93 is 7

From 98 to 84 is 9

From 84 to 73 is 11

From 73 to 45 is 28 this shows that there is a number missing

So from 73 to x should be 13

And from x to 45 should be 15

So 73 -13=60

And 60-15=45

So x is 60

The missing number in the sequence is 60

Given the sequence 100, 93, 84, 73, ... 45​

To get the next term, we need to get the common differences as shown:

To get the missing value, we will subtract 13 from 73.

Missing number  = 73 - 13

Missing number = 60

Hence the missing number in the sequence is 60

Learn more on sequence here: https://brainly.com/question/24989563

Answer:

Gabriela needs to sell 4 more cups of coffee to make a profit of $75.

She sells 90 cups and makes $0.80 profit on each cup. That equals $72 profit.

90 x $0.80= $72

She wants to make $75 profit.

$75 - $72 = $3  profit short for the day

$3/$0.80 = 3.75 cups of coffee short  so to make her profit she must sell a total of 94 cups of coffee for the day or an additional 4 cups.

Step-by-step explanation:

Answer:

5x + 4y

Step-by-step explanation:

3x + 2x = 5x

11y - 7y = 4y

Answer:

534

Step-by-step explanation:

Divide first number by second number:

29 /53 = 0.54716981

Multiply by 100 to get percent:

0.54716981 x 100 = 54.716981%

Round the answer as needed.

Answer:

a. 90

b. 44.55

C. 134.55

D. 22.42

Step-by-step explanation:

A. 6*15 = 90

B. 15 % of 1188 is 178.2, and 178.2 divided by 4 (0.25%) is 44.55

C 90 + 44.55 = 134.55

d. 134.55 divided by 6 hours worked is 22.42

a. The earning should be 90.

b. The money that should be made is 44.55.

c. The total salary for the day is 134.55

d. The Manuel average earnings per hour, including tips is 22.42

a.

The earnings should be

= 6(15)

= 90

b. The money made should be

The 15% of 1188 should be 178.2

Now we have to divide the 178.3 from 4 so it comes 44.55.

c. The total salary should be

= 90 + 44.55

= 134.55

d. The average earnings per hour should be

Here  134.55 divided by 6 hours = 22.42

Learn more about earnings here: https://brainly.com/question/24512296

Answer:

  x = -2

Step-by-step explanation:

First, you eliminate parentheses using the distributive property.

  3(x +4) +4x = -2

  3x +12 +4x = -2

Then you collect terms.

  7x +12 = -2

You can subtract 12 (from both sides).

  7x = -14

Finally, divide by the coefficient of the variable.

 x = -14/7 = -2

The solution is x = -2.

____

Comment on the work

When you add, subtract, multiply, divide, or perform any other operation on one side of the equation, you must do the same thing on the other side. That is how the equal sign stays valid. That is why we subtracted 12 from both sides of the equation. It is also why we divided both sides of the equation by 7.

Those steps, subtract 12, divide by 7, are chosen for the purpose of getting the x-term by itself, then getting by itself. In general, when there's an added term you don't want, add its opposite to both sides of the equation. When there's a factor you don't want, divide both sides of the equation by that.

Answer:

23/99

Step-by-step explanation:

nearly any number /9 or /99 or /999 etc is a repeating decimal.

Answer:

23/99

Step-by-step explanation:

9/8=1.125

23/99≈0.232

9/20=0.45

3/40=0.075

hope this helps