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Answers:

A = 3

B = -7

C = 3

D = -7

======================================================

Explanation:

You could use the AC method to factor, but I think the method described below is a more efficient way of factoring.

Set the given expression equal to zero and solve for x using the quadratic formula. So the goal is to find the roots for [tex]9x^2-42x+49=0[/tex]

We'll plug in a = 9, b = -42, and c = 49.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-42)\pm\sqrt{(-42)^2-4(9)(49)}}{2(9)}\\\\x = \frac{42\pm\sqrt{0}}{18}\\\\x = \frac{42+0}{18}\\\\x = \frac{42}{18}\\\\x = \frac{7}{3}\\\\[/tex]

Because the root is x = 7/3, it leads to the factor 3x-7 = 0

Note that we go from x = 7/3 to 3x = 7 after multiplying both sides by 3. Then we subtract 7 from both sides.

It turns out that we have two copies of the identical factor (3x-7) because x = 7/3 is a double root.

So in reality we have the factorization (3x-7)(3x-7) which we can shorten into (3x-7)^2 if we wanted.

Use the box method or FOIL method to expand (3x-7)(3x-7) and you should get 9x^2-21x-21x+49 which simplifies to 9x^2-42x+49. This confirms we have the correct factorization.

Therefore, A and C are both 3, while B and D are both -7.

Answer:

Step-by-step explanation:

19620 J.

The amount that she will have to pay for everything is $52.68.

First step is to calculate the cost of 3 can of tennis ball

Cost of cans=3 x $4

Cost of cans=$12

Second step is to calculate the discount

Discount=15% x $43

Discount=$6.45

Third step is to calculate the cost of total racket

Total racket=$43 -$6.45

Total racket=$36.55

Fourth step is to calculate the amount that Elena will pay including tax

Amount=($12 + $36.55) + [($12 + $36.55)x 0.085]

Amount=$48.55 + ($48.55 x 0.085)

Amount=$48.55+$4.13

Amount=$52.68

Inconclusion the amount that she will have to pay for everything is $52.68.

Learn more about tax here:https://brainly.com/question/25033929

Answer:

$ 275

Step-by-step explanation:

20/100 = 55/x (20% is 55 of what number) (%/100 = is/of)

(100 * 55) / 20 = 275

Answer:

68.75

Step-by-step explanation:

Answer:

a) 8 ,18 year old students took part in the survey

b) 10

Answer:

1139

Step-by-step explanation:

The exponential growth rate formula is as follows:

F = A(1+r)^t, with F representing the final amount, a representing the initial amount, r representing rate, and t representing time. Here, we have

A = 100, r = 50% = 0.5 (divide 50% by 100 to convert it to a decimal), and t = 6. Plugging these in, we get

F = 100(1+0.5)^6 = 1139

A) 0.21, 0.25, 0.8

B) 3/4, 0.85, 0.857

hope this is helpful!

Answer:

2:5  

12:30

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

Let h represent hamburgers and c represent cheeseburgers

h + c ≤ 100 - The amount of burgers sold

3h + 3.5c ≥ 80 - Amount that each burger sells for

Step-by-step explanation:

Step 1: Multiply the whole number part (1) by the denominator (8).

1 × 8 = 8

Step 2: Add the product from Step 1 (8) to the numerator (4).

8 + 4 = 12

Step 3: Write that result (12) above the denominator. So,

[tex]\frac4{8}{1}[/tex]

Step 4: The fraction [tex]\frac{12}{8}[/tex]

Can be reduced by dividing both numerator and denominator by the GCD(12,8) = 4. Thus,

[tex]\frac1{4}{8} =\frac{3}{2}[/tex]

Answer:

if you want simple answer then check second picture

Step-by-step explanation:

,

Explanation:

The concept of the additive inverse is that we add some number x, with its opposite -x, to get 0. The two items cancel each other out.

[tex]x + (-x) = 0\\ \text{or}\\-x+x = 0[/tex]

In this case, [tex]x = \sqrt{3}[/tex]

Answer:

graph is in linked files

Step-by-step explanation:

Answer:

So you divide both sides 8.5

B=8   8.5x8=68

Simplfy 8.5x8 to 68

68=68

Step-by-step explanation:

Hope this helps

Answer:

in condensation, gas turns into a liquid

Answer:

Condensation is when a gas becomes a liquid. ... In condensation, matter changes from a gas to a liquid. All matter is made of tiny moving particles called molecules. Evaporation and condensation happen when these molecules gain or lose energy.

Answer:

T(x,y)=(x,y) is false

Step-by-step explanation:

Step-by-step explanation:

Perimeter of rectangle = 2(a+b) or 2a +2b

a=perimeter of the first side of the rectangle

b=perimeter of the second side of the rectangle

Perimeter = 2(3x+5 + 2x-1)=52

Open the bracket by multiplying the number outside by the number inside

=6x+10+4x-2=52

C.L.T ( Collect like terms), that means put the terms that have co-efficients together (those with variables "X") and those that don't have in the other side of the equation. While collecting like terms, if a number is taken to the other side, the sign changes

6x+4x=52-10+2

10x=44

D.B.S by 10, to make variable X subject

x=4.4

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The dimension of the rectangle is (3x + 5) and (2x - 1).

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be given as,

2[(3x + 5) + (2x - 1)] = 52

Simplify the equation, then we have

2[(3x + 5) + (2x - 1)] = 52

3x + 5 + 2x - 1 = 26

5x + 4 = 26

5x = 22

x = 22 / 5

x = 4.4

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ2

The forces opposing the expansion of the universe are due to the gravitation interaction.

Hope it helped.

Answer:

$10.5

Step-by-step explanation:

$42 for 4 basketballs

price of 1 basketball = 42/4

42/4 = 10.5

-Chetan K

Answer:

10.5 dollars

Step-by-step explanation:

42÷4=10.5

Answer:

i want  to help... but there is no picture :/

Step-by-step explanation:

picture is gone D:

.

Answer:

75FT  B

Step-by-step explanation:

if the building is 150 feet, then the tree is about 50% the height of the building it is 75 feet tall or answer B

Answer:

I used the discriminant which is √-4ac

Then I filled the numbers in, and found that 9 gets plug in for b and this becomes 9 squared, and that becomes 81. 4 is multiplied to 4 and 1 and becomes 16. Then 81 and 16 are subtracted and we get 65. We then find the square root, and will find that the answer is C.

Step-by-step explanation:

Answer:

3b÷c1−a

=3×9÷1×1-4

=27÷1-4

=27-4

=23

Answer:

1,500

Step-by-step explanation:

hope this helped!

Answer:

1500.

Step-by-step explanation:

The hundreds digit is the 5.

A the next digit ( the tens) is 0  ( < 5) it remains as 0 and the 8 becomes 0.

Answer:

12 minuts

Step-by-step explanation

If you divide 95 by ten you get 9.5, and 9.5 to 95 and you get 104.5 and it is 11 minuts. add it again and you are at 114 words and it is 12 minuts.

Answer:

  a) 62

  b) 31/45

Step-by-step explanation:

a) The table tells you there are 42 males, and 20 more females that study biology.

  42 +20 = 62 . . . are male or study biology or both

__

b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...

  62/90 = 31/45 = P(male or biology)

Answer:

About 7 units

Step-by-step explanation:

About 7 units would be correct. 1 + 6 is 7

however 6 isn’t an option so the next closet thing is 7

HOPE THIS HELPED :3

Answer pretty sure that’s 7

Step-by-step explanation:

Answer: not sure

Step-by-step explanation: uhhh this ain't clear. how many boxes are there?

Answer:

1.2x + 3

Step-by-step explanation:

It has to have +3 because 0 alresdy starts at 3 than use any point (I choose (5,9)) and find how much changed. The point moved 6 up and 5 to the right so divide 6/5 and get 1.2. Then test it with other points. (2,5.4) is a great example because it shows that whatever the equation is it is not 1.5 or anything above.

A piecewise function is used that combines several functions at different intervals.

The domain of the function represented by f(x) = x + 1 is x > 1

The function f(x) = x + 1 is represented by the second line that has an open circle at (1,2) and continues to (3,4)

The open circle at point (1,2) means that, the x value at this point is not included in the domain of f(x) = x + 1

So, the domain of f(x) = x + 1 is x > 1

Read more about piecewise functions at:

https://brainly.com/question/17966003

Answer:

D

Step-by-step explanation:

Correct on Edge