Factor the following binomial using the difference of squares?
(49x^2 – 9)

Answer:

Step-by-step explanation:

Check by direct substitution.  If we begin by checking x = 3/2, we substitute 3/2 for x in (3x - 2)(x + 5), obtaining (9/2 - 2)(3/2 + 5), which is NOT zero.  Therefore x = 3/2 is not a solution.

(3*5−2)(5+5)=0  False.  x = 5 is not a solution.

(3*[-5]−2)([-5+5)=0  True.  x = -5 is a solution

x = 2/3:  (3*2/3 - 2)( ) = 0.  True  x = 2/3 is a solution

x = -2/3:  ( )( ) = -17 1/3;  so x = -2/3 is not a solution

x = -3/2:  ( ) ( ) = -22 3/4; so x = -3/2 is not a soution

Answer:

50%

Step-by-step explanation:

28×0.50= 14

14+28= 42

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Answer:

p - w = $25 OR w + $25 = p

Step-by-step explanation:

pencil = p

pen = w

p - w = $25 OR w + $25 = p

you got it

Step-by-step explanation:

Answer:

The answer to the question is 50.28 feet²

Step-by-step explanation:

Here, is why the answer to the problem is 13.72!

The area of the shaded region is:-

Area of total region - Area of the circular region

Area of total region is 8² so it is 64 feet²

Area of Circular region formula is πr²

Substitute the values, for the formula and it is π4² = 22/7 × 16

                                                                         → 352/7

                                                                        ⇒ 13.72 Feet²

Therefore, the area of the shaded region is 13.72 Feet²

(Now, we subtract the two values)

64 - 13.72

⇒ 50.28 Feet²

I hope this answer helps!

Answer: Volume = 103.823 cubic inches

Step-by-step explanation:

Volume= length x width x height

Volume = 4.7inxhes x 4.7inxhes x 4.7inches

Volume = 103.823 cubic inches

Answer:  60 dollars

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

Work Shown:

x = original price

y = sale price

The sale price is always smaller than the original price, so y < x.

The equation linking the two variables is

y = 0.8x

since 80% = 80/100 = 0.8

We know the sale price is $48, which means y = 48. This leads to:

y = 0.8x

0.8x = y

0.8x = 48

x = 48/0.8

x = 60

The original price was $60

Note: since the sale price is 80% of the original price, this must mean that we have a 20% discount (100% - 80% = 20%)

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function representing the number of customers on day x

f(x) = 3ˣ

Part A)

We need to determine the day when there are 243 customers.

so substitute f(x) = 243 in the function

[tex]f\left(x\right)\:=\:3^x[/tex]

Part B)

Solving the equation

[tex]f\left(x\right)\:=\:3^x[/tex]

[tex]243\:=\:3^x[/tex]

as 2⁵ = 243, so

[tex]\:2^5=3^x\:[/tex]

x = 5

The value of x = 5

Part C)

As the value of x = 5

Therefore, on the 5th day, there would be 243 customers.

Answer:

D. 22x^2-18x-15

Step-by-step explanation:

12x²-19x+4 + 10x²+x-19

22x²-18x-15

Answer:

A)

Adventureland.

B)

Coaster City

C)

5 People

Step-by-step explanation:

The cost of Adventureland for p people is:

[tex]A=20+9p[/tex]

And the cost of Coaster City for p people is:

[tex]C=40+5p[/tex]

Part A)

If four people is going on the trip, p = 4. So, the cost for Adventureland is:

[tex]20 + 9(4) = \$ 56[/tex]

And the cost for Coaster City is:

[tex]40+5(4)=\$60[/tex]

Since $56 < $60, Adventureland will be a better option.

Part B)

If three extra people were invited, the total amount of people p is now 7. So, the cost to Adventureland is:

[tex]20 + 9(7) = \$ 83[/tex]

And the cost to Coaster City is:

[tex]40+5(7)=\$ 75[/tex]

Since $75 < $83, Coaster City is the better option in this case.

Part C)

So, we can set the two cost equations equal to each other:

[tex]20+9p=40+5p[/tex]

Solve for p. Subtracting 20 from both sides yields:

[tex]9p=20+5p[/tex]

And subtracting 5p from both sides yields:

[tex]4p=20[/tex]

And dividing both sides by 4:  

[tex]p=5[/tex]

So, if 5 people went on a trip, the cost of going to either Adventureland or Coaster City will be the same.

Answer:

(8, -5); x=8; y=-5

Step-by-step explanation:

i'll be solving via substitution

2x+3y=1; y=-2x+11

2x + 3(-2x +11) = 1

2x -6x +33 = 1

-4x = -32

x = 8

2(8) + 3y = 1

16 + 3y = 1

3y = -15

y = -5

(8, -5)

Check:

-5 = -2(8) + 11

-5 = -16 + 11

-5 = -5

Answer:

A- No

B- yes

C-yes

D- no

Step-by-step explanation:

learned about these yesterday, just depends on the x axis

Answer:

What you have to do is take

2 1/2 and divided by 4 which is 0.625 when you convert that to a fraction its 5/8

so your answer is 5/8 ths

Step-by-step explanation:

Answer:

+) the area of the original house is:

(x + 8)(x + 12) = x² + 20x + 96.

+) the area of the new addition is:

(x + 6)x = x² + 6x

+) the total area of the house is:

x² + 20x + 96 + x² + 6x = 2x² + 26x + 96

Answer:

x=−21

Step-by-step explanation:

Answer: x=-21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1 /3 x =−7

Step 2: Multiply both sides by 3.

3*( 1/3 x)=(3)*(−7)

x=−21

Answer:

The coefficient is -5, and the base is 12.

Step-by-step explanation:

The coefficient is the number that the variable is being multiplied by in an expression, so -5 would be the coefficient in the expression [tex]-5g_{12}[/tex]. The base would be the little subscript number that is next to the variable, so the base in the expression [tex]-5g_{12}[/tex] is 12.

Answer:

You may want to email your teacher. I am pretty sure it is d, or f(x)=4-x.

Step-by-step explanation:

4-1=3

4-2=2

4-3=1

4-4=0

The value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.

An equation is given which is 0.75(x + 20) = 2 + 0.5(x - 2).

We have to find out the value of x for which the equation becomes true.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

The equation given is 0.75(x + 20) = 2 + 0.5(x - 2)

Let's solve to get the value of x.

⇒ 0.75(x + 20) = 2 + 0.5(x - 2)

⇒ 0.75x + 15 = 2 + 0.5 x - 1

⇒ 0.75x - 0.5x = 1 - 15

⇒ 0.25x = - 14

⇒ x = -14 ÷ 0.25

⇒ x = - 56

Let's check ;

0.75(x + 20) = 2 + 0.5(x - 2)

0.75 ( -56 + 20 ) = 2 + 0.5 ( -56 - 2 )

(0.75 × -56) + (0.75 × 20) = 2 + (0.5 × -56) + (0.5 × -2)

-42 + 15 = 2 -28 - 1

-27 = -27

Both sides are equal for value of x = -56.

Thus , the value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.

To learn more about algebraic expressions click here ;

https://brainly.ph/question/20786412

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Answer:

A

Step-by-step explanation:

it's easy, just have to look at the problem

Answer:

The answer is (x+3)(x-15)

Answer:

Kevin makes $850

Step-by-step explanation:

Answer:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130\\}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]

Step by step:

Step 1: Subtract -5 from both sides.

8x2+16x−62−(−5)=−5−(−5)

8x2+16x−57=0

For this equation: a=8, b=16, c=-57

8x2+16x+−57=0

(plus-minus) = ±

Step 2: Use quadratic formula with a=8, b=16, c=-57.

x=[tex]\frac{-b(plus-minus)\sqrt{x} b^2-4ac}{2a}[/tex]

x=[tex]\frac{-(16)(plus-minus)\sqrt{(16)^2-4(8)(-57)} }{2(8)}[/tex]

x=[tex]\frac{-16(plus-minus) \sqrt{2080} }{16}[/tex]

ANSWER:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]

Answer:

1/20

Step-by-step explanation:

trust me............or not...jk its either 1/20 or 1/2 NO its 1/20

Answer:

8x^3-5x^2-11x+32

Step-by-step explanation:

Answer:

2,4 is indeed correct on edg.

Graphs that show a linear function is second option

The linear equation graphs are the equation of straight line graph with slope.

for example y = mx  where (x,y) be the point on the line and m be the slope.

here the only second graph shows a straight line graph. y values changes by when x value changes. there is a slope.

when we a x value we can compute the corresponding y value.

Step-by-step explanation: