Use the distributive property to remove the parentheses. -7^2+4(-7)-4

1 answer:

6 0

-7^2+4(-7)-4

49-28-4

17

My thought process goes as follows

I went -7x-7 which is 49 (negative x negative is equal to a positive)

4(-7) means 4x-7

Then added them all together

You might be interested in

Sum of two number is 120. If the larger number is four times the smaller number, wbat are the two numbers

tankabanditka [31]

x+y=120_______1

x=4*y_________2

x=4y

substitute 4y for x in equation 1

`4y+y=120

5y=120

eliminate the coefficient of y

y=120/5

y=24

now,input 24 for y in equation 2

`x=4y

x=4*24

x=96

thus, the numbers are

96 and 24

3 0

2 years ago

P(x)= 3x^3-5x^2-14x-4

nexus9112 [7]

$\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\
$

$\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)$

$\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm \sqrt{4+16}}{2}=\frac{2\pm \sqrt{20}}{2}=\frac{2\pm 2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}$

7 0

2 years ago

If you put a sugar cube in hot tea does it dissolve or melt and why?

iren2701 [21]

The molecules in the sugar dissolved in water. it did not dissociate though, just dissolved. the atoms in each individual molecule stayed in tact, but the intermolecular forces broke apart.

3 0

3 years ago

Read 2 more answers

Write the formula for the area of a triangle, A, where b is the base and h is the height of the triangle. Don’t include parenthe

Mkey [24]

Answer:

A = 1/2 × b × h

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Julie is 3 years older than her sister. Julie's age is 11 years old.<br> How old is her sister?