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avanturin [10]
2 years ago
15

Find x in This equation. 2x+2=-4(x-5)

Mathematics
1 answer:
san4es73 [151]2 years ago
6 0

Hey there!

2x + 2 = -4(x - 5)

2x + 2 = -4(x) - 4(-5)

2x + 2 = -4x + 20

ADD 4x to BOTH SIDES

2x + 2 + 4x = -4x + 20 + 4x

SIMPLIFY IT!

6x + 2 = 20

SUBTRACT 18 to BOTH SIDES

6x + 2 - 2 = 20 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: 20 - 2 because it help solve for the x-value

NEW EQUATION: 6x = 20 - 2

SIMPLIFY IT!

6x = 18

DIVIDE 6 to BOTH SIDES

6x/6 = 18/6

CANCEL out: 6/6 because it give you 1

KEE: 18/6 because it help solve for the x-value

NEW EQUATION: x = 18/6

SIMPLIFY IT!

x = 3

Therefore, your answer is: x = 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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Which nonomial function has a minimum value y=5x^10 y=-4x^11 y=-x^12 y=6x^7
yKpoI14uk [10]
We are dealing with monomial function so we just focus on end behavior.

5x¹⁰ has both ends going up so it would have minimum value

-4x¹¹ has one end going down and other end going up so no minimum value

-x¹² has both ends going down so it opens downward thus no minimum value. Just maximum.

6x⁷ has one ends going up and other going down so no minimum value.

So final answer is y = 5x¹⁰


3 0
3 years ago
Please help logarithms!
nlexa [21]

Given:

\log_34\approx 1.262

\log_37\approx 1.771

To find:

The value of \log_3\left(\dfrac{4}{49}\right).

Solution:

We have,

\log_34\approx 1.262

\log_37\approx 1.771

Using properties of log, we get

\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_349      \left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right]

\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_37^2      

\log_3\left(\dfrac{4}{49}\right)=\log_34-2\log_37          [\log x^n=n\log x]

Substitute \log_34\approx 1.262 and \log_37\approx 1.771.

\log_3\left(\dfrac{4}{49}\right)=1.262-2(1.771)

\log_3\left(\dfrac{4}{49}\right)=1.262-3.542

\log_3\left(\dfrac{4}{49}\right)=-2.28

Therefore, the value of \log_3\left(\dfrac{4}{49}\right) is -2.28.

5 0
2 years ago
A rectangle has perimeter 182 in. and length 52 in. What is the width
Degger [83]

Answer:

the width is 3.5 in.

Step-by-step explanation:

u get it by dividing 182 in and 52 in and u get 3.5 In

4 0
2 years ago
Read 2 more answers
For what value(s) of k is the linear system consistent? (Enter your answers as a comma-separated list.)
AleksAgata [21]

Answer:

Step-by-step explanation:

Given

6x_1-9x_2=8

9x_1+kx_2=-1

The given system is AX=B can be represented by

\begin{bmatrix}6 &-9 \\ 9 & k\end{bmatrix}\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}8\\ -1\end{bmatrix}

The given system is consistent when determinant of A is not equal to zero

|A|

|A|=6k-(-81)=6k+81

k\neq \frac{-27}{2}

i.e. system is consistent for all value of k except k=\frac{-27}{2}

R-\frac{-27}{2}

                 

4 0
3 years ago
Read 2 more answers
Leslie currently spends $20 to have her yard raked each fall. Leslie is considering buying a leaf blower for $70. The model she
alekssr [168]
Cost of paying someone to rake her yard for for years would be $80. The leaf blower would cost $70. So she would save $10 buy buying the leaf blower.
3 0
3 years ago
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