Simplifiy (5x^2+3x-9)(2x-7)

Answers

Answer 1
Answer: (5x² + 3x - 9)(2x - 7)
5x²(2x - 7) + 3x(2x - 7) - 9(2x - 7)
5x²(2x) - 5x²(7) + 3x(2x) - 3x(7) - 9(2x) + 9(7)
10x³ - 35x² + 6x² - 21x - 18x + 63
10x³ - 29x² - 39x + 63

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Two equations are given below:a − 3b = 4
a = b − 2

What is the solution to the set of equations in the form (a, b)?

(−2, −2)

(−3, −1)

(−9, −7)

(−5, −3)

Answers

Hello,

a-3b=4 (1)
a-b=-2 (2)

(1)-(2)==> -2b=6
=>b=-3 and a=-2+(-3)=-5

Answer D


Proof
-5+3=-2
-5-3(-3)=4



The surface area covered by a rectangular playground is 200 yards. The width of the playground is twice as long as it's length. Using factors, find the length and the width of the playground

Answers

Answer:

The length is 10 yards and the width is 20 yards of the playground.

Step-by-step explanation:

Given,

Area of the rectangular playground = 200 yards.

Solution,

Let the length of the playground be x.

Then the width of the playground is 2x.

Now, According to the formula of area of rectangle;

Area\ of\ rectangle =length* width

On substituting the values, we get;

x* 2x=200\n\n2x^2=200\n\nx^2=(200)/(2)=100\n\nx^2=100\n\nx=√(100)\n\nx=10\ yards\n

So the length of the playground is 10 yards.

Since the width is twice of the length.

So width = 2x=2* 10=20\ yards

Hence the length is 10 yards and the width is 20 yards of the playground.

Five friends share eight pizzas. how much dose each friend get​

Answers

Answer:

1.6 pizzas

Step-by-step explanation:

Can some help me fast!

Answers

Answer:

5x +2y =38

5(6) +2y = 38

30 +2y= 38

2y= 8

y= 4

(6, 4)

5(0) +2y =38

2y= 38

y= 19

(0,19)

5(-2) +2y= 38

-10 +2y =38

2y= 48

y=24

(-2,24)

There were 88 vendors at the craft fair. They needed to set up an equal number in each of the rows and needed 4 flags to mark each row. How many rows and flags were needed?

Answers

Answer:

22 rows and 22 flags are needed

Step-by-step explanation:

Total number of vendors = 88

Existing number of rows and flags= 4

Number of rows and flags needed= 88/4 =22

Answer:

4rows and 16flags

Step-by-step explanation:

Since there were 88 vendors at the craft fair and 4flags on each rows. To set up equal number of vendors on each row, we will use the expression;

Number of vendors per row = Total number of vendors/total number of flags per row = 88/4 = 22 vendors

If there are 22 vendors in a rows and there are 88vendors in total, the total of rows will be;

Total number of vendors/number of vendors per row

= 88/22

= 4 rows

If there are four rows in total and 4flags in each row, the total of flags needed will be;

Total number of row × total flag per row

= 4×4

= 16flags

This shows that there are 4rows and 16flags were needed.

How do I do x/3-x/9=6 Pls solve with steps

Answers

Answer:

27

Step-by-step explanation:

Hello,

do you agree that

(1)/(3)-(1)/(9)=(3-1)/(9)=(2)/(9)    ?

Then,

we can simplify as below and multiply by 9 both sides and divide by 2

(x)/(3)-(x)/(9)=(2x)/(9)=6\n\n<=> 2x = 54\n\n<=> x = 54/2= 27

Thanks