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2 years ago

Solve x2 - 3x = 28 by factoring.

Mathematics

2 answers:

Anastasy [175]2 years ago

8 0

Answer:

Step-by-step explanation:

$x^2-3x=28\qquad\text{subtract 28 from both sides}\\\\x^2-3x-28=0\\\\x^2+4x-7x-28=0\qquad\text{distribute}\\\\x(x+4)-7(x+4)=0\\\\(x+4)(x-7)=0\iff x+4=0\ \vee\ x-7=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\\boxed{x=-4}\\\\x-7=0\qquad\text{add 7 to both sides}\\\boxed{x=7}$

sertanlavr [38]2 years ago

8 0

Answer:

x = -4 or x = 7

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|-4| - 8 + 10 = ???<br> answer for points

Elis [28]

Answer:

Step-by-step explanation:

As you might know, the two lines surrounding the -4 represent the absolute value, which is basically the distance from 0, and the distance is always positive. To clear any confusion, the absolute value of positive number will not be it's opposite because remember, distance is always positive, so absolute value is always positive (because it is basically the distance from zero).

To help, here is an example (that is not related to the problem!):

|-6| = 6

|6| = 6

<em>Now, back to the problem...</em>

Since you now know that the absolute value is always positive, |-4| would equal 4. So now you have:

4 - 8 + 10 = ???

From here, you can just solve and the answer is 6, so:

4 - 8 + 10 = 6

You final answer is 6.

Hope this helped somehow :D

4 0

2 years ago

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19. Calculate the size of the angle marked x in the diagram.

algol [13]

Answer:

151°

Step-by-step explanation:

126°+221°+95°+57°+70+x=720° ( sum of interior angles of hexagon)

x + 569° =720°

x = 720°- 569°

=151°

7 0

2 years ago

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In a school, the ratio of soccer players to volleyball players is 4 : 1. The number of soccer players is how many times the numb

soldier1979 [14.2K]

Your question appears to be phrased incorrectly. If the ratio of soccer players to football players is 4:1 then for every 1 football player there are 4 soccer players. For example, if there are 3 football players, there would be 12 soccer players.

The equivalent expression would be S = 4F

The statement: "there are 4 more soccer players than football players" is not the same thing. It simply means that we add 4 to the total of football players to find out how many soccer players there are.

The equivalent expression would be S = F + 4

That being said: An equivalent ratio to 4:1 would be 8:2 , 12:3, 16:4, ...

Think of the ratio as a fraction. 4:1 = 4/1

4/1 = 8/2 = 12/3 = 16/4 ..., etc.

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2 years ago

Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

3 0

3 years ago

A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by hal

Veseljchak [2.6K]

Answer:

D. 267.9 in3

Step-by-step explanation:

So we know the diameter is 16 inches.

So we need to find the radius and we do that by: 16/2 = 8 then it is reduced by half: 8/2 = 4

Now we need to find the volume.

V= 4/3 times 3.14 times 4^3= 268.08

So we would need to round which would give us 267.9 in3.

Therefore the answer is the D. 267.9 in3.

I hope this helps!!!

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2 years ago

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