Which of the following results in the difference of two squares?

a. (7x - 3y)^2

b. (4x - 9y)(4x - 9y)

c. 5x^2(4x - 3)

d. (2x + 8y)(2x - 8y)

Answer:

The point (4,7) is a solution to the system of equations.

Please also check the attached graph.

Step-by-step explanation:

Given the system of equations

[tex]y=2x-1[/tex]

[tex]y=\frac{1}{2}x+5[/tex]

Let us solve the system of equations using the elimination method

[tex]\begin{bmatrix}y=2x-1\\ y=\frac{1}{2}x+5\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-2x=-1\\ y-\frac{1}{2}x=5\end{bmatrix}[/tex]

subtracting the equations

[tex]y-\frac{1}{2}x=5[/tex]

[tex]-[/tex]

[tex]\underline{y-2x=-1}[/tex]

[tex]\frac{3}{2}x=6[/tex]

now solving [tex]\frac{3}{2}x=6[/tex] for x

[tex]\frac{3}{2}x=6[/tex]

Multiply both sides by 2

[tex]2\cdot \frac{3}{2}x=6\cdot \:2[/tex]

Simplify

[tex]3x=12[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

Simplify

[tex]x=4[/tex]

For [tex]y-2x=-1[/tex] plug in x = 4

[tex]y-2\cdot \:4=-1[/tex]

[tex]y-8=-1[/tex]

Add 8 to both sides

[tex]y-8+8=-1+8[/tex]

Simplify

[tex]y=7[/tex]

Therefore, the solution to the system of equations is:

(x, y) = (4, 7)

Hence, the point (4,7) is a solution to the system of equations.

Please also check the attached graph.

Answer:

2x+3 times 5 - x +8=13

Step-by-step explanation:

off ion know

Answer:

ummm it think so

Step-by-step explanation:

Answer: i think it is

Step-by-step explanation: am srry if am wrong

Answer:

Jenny gets €18.

Step-by-step explanation:

Jenny gets 3 of every Laura's 2. First you add together both numbers in the ratio. 3+2=5. Then you divide the constant, 30, by the sum, 5. 30/5=6. Then you multiply each number of the ratio by the quotient. 3 x 6=18.

Answer:

15

Step-by-step explanation:

Since we can see that the total angle value will be 90 degrees we can write an equation;

30+4x=90

4x=60

x=15

So your answer is 15

Answer:

I think that the correct answer is D 3(2x + 4) = 6x + 12

3(2x + 4) = 6x + 12 illustrates the Distributive Property. Correct option is D.

The Distributive Property states that when you multiply a number by a sum or difference inside parentheses, you distribute the multiplication across each term inside the parentheses.

The correct illustration of the Distributive Property among the given options is:

D. 3(2x + 4) = 6x + 12

This is because when you distribute 3 across 2x and 4, you get 6x for the first term (3 * 2x) and 12 for the second term (3 * 4), resulting in 6x + 12.

To know more about Distributive Property:

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Answer:

x=-9

Step-by-step explanation:

x=36/-4=-9

Answer:

-9

Step-by-step explanation:

-4x=36

36/-4=-9

x = -9

-4(-9)=36

Answer:

1/10

Step-by-step explanation:

Bob has 1/2

1/2 divided by 5 = 0.1

0.1 = 1/10

Each friend gets 1/10.

Answer: Ethan is incorrect because Graph D is not decreasing but increasing.

Answer:

1

Step-by-step explanation:

I guess it's the first choice

Answer:

y = -34

Step-by-step explanation:

Step 1

1/4 y + 9 = 1/2

1/4 + 9 - 9 = 1/2 - 9

1/4 y = -17/2

Step 2

4 * (1/4 y) = 4* (-17/2)

y = -34

Hope this helps!!

Answer:

Step-by-step explanation:

Step One

Find the supplement of both exterior angles. They both have angles that add with them to make 180 degrees.

x + 105 = 180            Subtract 105 from both sides

x = 180 - 105

x = 75

y + 148 = 180            Subtract 148 from both sides

y = 180 - 148  

y = 32

Step Two

There are two ways to conclude the problem. You could find the value of the 3rd angle of the triangle, or you could notice that x is going to be the sum of the 2 angles you just found. These two angles are called the remote interior angle.

Method One

x = 32 + 75

x = 107

Method Two

32 + 75 + y = 180

107 + y = 180

y = 180 - 107

y = 73

The sum of x + 73 = 180

x = 180 - 73

x = 107

Answer:

270

Step-by-step explanation:

[tex]360 - 90 = 270[/tex]

Answer:

749.79

Step-by-step explanation:

147 minutes = 2 and 27/60 hours

8.5% times 2 and 27/60 = 0.20825 or 833/4000

750 - 0.20825 = 749.79175

749.79175 to the nearest hundredth = 749.79

Hope this helps.

Answer:609

Step-by-step explanation:

The monthly rent during the 8th year of living in the apartment will be $2160.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You rent an apartment that costs $800 per month during the first year, but the rent is set to go up by $170 per year.

Then the monthly rent during the 8th year of living in the apartment will be

Let y be the monthly rent and x be the number of years.

Then we have

y = 170x + 800

The rent after 8 years, then the rent will be

y = 170 × 8 + 800

y = 1360 + 800

y = $ 2160

Thus. the monthly rent during the 8th year of living in the apartment will be $ 2160.

More about the linear system link is given below.

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Answer:

2/4

Step-by-step explanation:

Answer

7, x

Step-by-step explanation:

n x + 2 = 7, x

Answer: The smallest value of n is:

n = 21

Step-by-step explanation:

We know that the LCM (least common multiple) between 120 and n is 2520.

We want to find the smallest value of n.

The smallest value of n will be such that n does not share any prime number with 120, then the greatest common factor between 120 and n is 1.

Remember that the LCM between A and B is:

LCM(A, B) = A*B/(GCM(A, B))

Then if the greatest common factor between A and B is 1, we will have:

LCM(A, B) = A*B

Then if the greatest common factor between 120 and n is 1, we have that:

LCM(120, n) = 120*n = 2520

then:

n = 2520/120 = 21

The smallest value of n is n = 21.

Answer:

87%

Step-by-step explanation:

First do part over whole which is 435over500 then multiply part by 100 and them divide that answer by the whole. Leading you to 87%

Answer:

1,763.6

Step-by-step explanation:

There is no hundredths place, therefore the number would just stay the same.  

The decimal number 1,763.6 rounded to the nearest hundredth will remain the same.

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The decimal number is given below.

⇒ 1,763.6

In the decimal number, there is no hundredth place, therefore the number would just stay the same.  

The decimal number 1,763.6 rounded to the nearest hundredth will remain the same.

More about the rounding of a number link is given below.

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Answer:

"?" = 3

Step-by-step explanation:

The answer can be gotten by subtracting 4 from 7. The 4 is the exponent in (4a^4b), and the 7 is the exponent in 16a^7b. So:

7 - 4 = 3

Therefore, the "?" = 3

Hope this helps :)

Answer:

?=3

Step-by-step explanation:

Okay so with exponents, when multiplying exponents with the same base, you add them.

In your case, we have a^? * a^4=a^7 (this is the only part you need to solve)

so ?+4=7

?=7-4=3

Have a nice day!

Answer:

25x^2 - 40x  + 18 / 5x - 3

Step-by-step explanation:

25x2−40x+18/

5x−3

Answer:

[tex]5x-5+\frac{3}{5x-3}[/tex]

Step-by-step explanation:

Hope this helps :)

Answer:

132min (mark brainliest?)

Step-by-step explanation:

noon = 12pm

2:12pm - 12pm = 2 hours and 12 min

2 hours *( 60 min) = 120 min

120 min + 12 min = 132 min

Answer:

4 ballons per basket because

80 ballons divided by 20 baskets is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 balloons per gift basket

Answer:2.a

Step-by-step explanation: