All categories

3 years ago

A) Simplify the expression and explain each step. (2 points)

Mathematics

2 answers:

GarryVolchara [31]3 years ago

8 0

A) 4 (3x+2)-2
12x+8-2
12x+6
2x+1 simplified expression

Nuetrik [128]3 years ago

5 0

Answer:

a) $4\left(3x+2\right)-2=12x+6$

b) $20b-16= 4\left(5b-4\right)$

Step-by-step explanation:

a) To simplify the expression you must:

Expand $4(3x + 2)$ :

Apply the distributive law: $\:a\left(b+c\right)=ab+ac$

$a=4,\:b=3x,\:c=2\\\\4\left(3x+2\right)=4\cdot \:3x+4\cdot \:2$

Simplify $4\cdot \:3x+4\cdot \:2= 12x+8$

$12x+8-2$

Subtract the numbers: $4\left(3x+2\right)-2=12x+6$

b) To factor the expression $20b - 16$ you must:

Rewrite 16 as $4\cdot 4$ and 20 as $4\cdot 5$

$20b-16=4\cdot \:5b-4\cdot \:4$

Factor out common term 4

$20b-16= 4\left(5b-4\right)$

You might be interested in

Overline MD cong overline LS additional information is necessary to show that triangle MTD cong triangle LGS by SSS?

aivan3 [116]

Answer:

$TD \cong GS$

Step-by-step explanation:

See comment for complete question

Given:

$TM \cong GL$

$MD \cong LS$

Required

The information that shows $\triangle MTD \cong \triangle LGS$ by SSS

By SSS implies that, the three sides of both triangles are congruent

Already, we have:

$TM \cong GL$

$MD \cong LS$

The third side of $\triangle MTD$ is $TD$

The third side of $\triangle LGS$ is $GS$

So, for both to be congruent by SSS, the third sides must be congruent

i.e.

$TD \cong GS$

4 0

3 years ago

Someone help me please

Masteriza [31]

Answer:

$(5,1)$

Step-by-step explanation:

Hi there!

Midpoint = $\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$ where the two endpoints are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given information:

Midpoint = (5,3), Endpoint = (5,5)

$(5,3)=\displaystyle (\frac{5+x_2}{2},\frac{5+y_2}{2} )$ where $(x_2,y_2)$ is the other endpoint

Solve for $x_2$ :

$\displaystyle \frac{5+x_2}{2} =5\\\\5+x_2 =10\\x_2 =5$

Solve for $y_2$ :

$\displaystyle\frac{5+y_2}{2}=3 \\\\{5+y_2}=6\\y_2=1$

Therefore, the other endpoint $(x_2,y_2)$ is $(5,1)$ .

I hope this helps!

4 0

3 years ago

Read 2 more answers

The carnival also offers two magic shows. The morning show is only 20 minutes and it costs $3.75. For the afternoon show, it is

Oksi-84 [34.3K]

Answer:

35 min show

Step-by-step explanation:

3.75 / 20 = .1875

5.25 / 35 = .15

you pay less for the 35 min show

can i please get brainliest! :)

5 0

3 years ago

ALLL MY POINTS PLSSS HELPPPPP

Rama09 [41]

Rewrite the given quadratic equation in standard form: Kx 2 + 2x - 1 = 0

Discriminant = 4 - 4(K)(-1) = 4 + 4K

For the equation to have two real solutions, the discriminant has to be positive. Hence we need to solve the inequality 4 + 4K > 0.

The solution set to the above inequality is given by: K > -1 for which the given equation has two real solutions.

3 0

3 years ago

Read 2 more answers

what was the original principal for an 8% simple interest bank account that holds $4340 after 3 years?

strojnjashka [21]

The principal amount is $\$3500$

<u>SOLUTION: </u>

Given that, simple interest $8\%$ ; $\$4340$ after 3 years

We have to find the principal.

Now, let the principal amount be p.

Then, $\text { Simple Interest }=\frac{p \times 8 \times 3}{100}=\frac{p \times 24}{100}$

Now, we know that, Balance = Principal amount + Simple Interest

$\begin{array}{l}{\rightarrow \$ 4340=p+\frac{24 p}{100}} \\\\ {\rightarrow 4340=p\left(1+\frac{24}{100}\right)} \\\\ {\rightarrow 4340=p \times \frac{100+124}{100}} \\\\ {\rightarrow p=4340 \times \frac{100}{124}} \\\\ {\rightarrow p=35 \times 100} \\\\ {\rightarrow p=3500}\end{array}$

5 0

3 years ago