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MariettaO [177]
3 years ago
7

Please help Factor completely. Show your work (as much work as possible, including a ​list of factors if

Mathematics
2 answers:
defon3 years ago
6 0

Answer:

1. x =0; x = -7

2. x = -3; x = 10

3. x = -5; x = -4

Step-by-step explanation:

(1). 6x² + 42x = 0

6x (x + 7) = 0

6x = 0. OR. x + 7 = 0

x = 0/6. x = 0 - 7

x = 0. x = -7

x = 0

x = -7

(2). x² - 7x - 30 = 0

The factors here are (3, -10)

x² - 10x + 3x - 30 = 0

x ( x - 10) + 3 ( x - 10) = 0

(x + 3) ( x - 10) = 0

x + 3 = 0 OR. x - 10 = 0

x = 0-3. x = 0 + 10

x = -3. x = 10

x = -3

x = 10

(3). x² + 9x + 20 = 0

The factors are ( 4, 5)

x² + 4x + 5x + 20 = 0

x ( x + 4) + 5 ( x + 4) = 0

(x + 5) (x + 4) = 0

x + 5 = 0 . OR. x + 4 = 0

x = 0-5. x = 0 - 4

x = -5. x = -4

x = -5

x = -4

liq [111]3 years ago
5 0

Answer:

Step-by-step explanation:

1) 6x² + 42x

6x is common to both terms. Therefore, it becomes

6x(x + 7)

2) x² - 7x - 30

We would find two numbers such that their sum or difference is -7x and their product is - 30x².

The two numbers are 3x and -10x. It becomes

x² + 3x - 10x - 30

x(x + 3) - 10(x + 3)

(x + 3)(x - 10)

3) x² + 9x + 20

We would find two numbers such that their sum or difference is 9x and their product is 20x².

The two numbers are 4x and 5x. It becomes

x² + 4x + 5x + 20

x(x + 4) + 5(x + 4)

(x + 4)(x + 5)

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Which statement correctly explains the association of the scatterplot
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Answer:

B. Since the y - values decrease as the x - values increase the scatter plots show a negative association.

Step-by-step explanation:

A positive association would be the y - values and the x - values both increases.

I hope this helps!

5 0
2 years ago
A model airplane is built at a scale of 1 inch to 6 feet. If the model plane is 8 inches long, how many feet long is the actual
noname [10]

The airplane is 48 feet long in real dimensions.

To find out how long the airplane actually is, we can use the scale and input our amount of inches that it is measured by.

So, 1 inch equals to 6 feet.

Our model plane is 8 inches.

Now, we plug it in.

8 inches = 6(8)

8 inches = 48 feet

Therefore, the length of the real airplane is 48 feet.

48 feet

5 0
3 years ago
Read 2 more answers
Inga lives 3 miles more than twice as far from school as brent does . If Brent lives (b) miles from school, then inga lives _? m
finlep [7]
Brent lives b miles from the school.
Inga lives 3 miles more then twice as far as Brent.
2b + 3.

Inga lives (2b + 3) miles from school.



5 0
2 years ago
I need the answer ASAP please and thank you
o-na [289]

Answer:

-3

Step-by-step explanation:

We know that both the larger triangle is dialated by some factor.

To start divide the two given sides:

36/24=1.5

This means that the larger triangle is dialated by a factor of 1.5, meaning that all sides of the smaller triangle must be multipled by 1.5 to get the larger triangle.

By knowing that we can multiply 3x-7 by 1.5 and set it equal to 6x-6.

1.5(3x-7)=6x-6

4.5x-10.5=6x-6

-6x+4.5x=10.5-6

-1.5x=4.5

x=(4.5)/(-1.5)

x= -3

6 0
3 years ago
Read 2 more answers
Please help on dividing fraction you have to do keep change flip
sasho [114]
Remember:
(a/b)÷(c/d)=\frac{ \frac{a}{b} }{ \frac{c}{d} }=( \frac{a}{b} )( \frac{d}{c} ) = \frac{ad}{bc}
so
(7/10)÷(1/5)=\frac{ \frac{7}{10} }{ \frac{1}{5} }=( \frac{7}{10} )( \frac{5}{1} ) = \frac{(7)(5)}{(10)(1)}= \frac{35{10}= \frac{7}{2}

the answer is 7/2
7 0
3 years ago
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