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3 years ago

Solve the following quadratic equation for all values of x in simplest form. 3(4x + 1)2 – 37 = 5

Mathematics

1 answer:

motikmotik3 years ago

8 0

Answer:

Step-by-step explanation:

Add 37 to both sides (to combine like terms):

3(4x + 1)^2 = 42

Reduce this by dividing both sides by 3:

(4x + 1)^2 = 14

Taking the square root of both sides results in:

4x + 1 = ± √14, or

4x = -1 ± √14

Solve for x by dividing both sides by 4:

-1 ± √14

x = ----------------

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a ladder leaning against a house makes an angle of 39 with the ground the foot of the ladder is 10 feet From the foot of the hou

dsp73

Answer:

39+10=49

Step-by-step explanation:

I hope this helps you.

4 0

3 years ago

Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF

Contact [7]

Find the equation of the inverse.

$y = {2}^{x + 5} - 6$

we have

$y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6$

step 1

Exchange the variables

x for y and y for x

$x=\{2\}^{\{y+5\}}-6$

step 2

Isolate the variable y

$(x+6)=2^{(y+5)}$

apply log both sides

$\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\ \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}$

step 3

Let

$f^{(-1)}(x)=y$

therefore

the inverse function is

$f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5$

7 0

2 years ago

Write in scientific notation 57,000,000

oee [108]

Answer: 5.7 x 107

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Write 7:30 in two ways pertaining to time

Vanyuwa [196]

Seven-thirty.
A half an hour past seven o'clock.

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4 years ago

Read 2 more answers

Yesterday, Jack drove 43.5 miles. He used 11 gallons of gasoline. What is the unit rate for miles per gallon?

Alexxx [7]

Answer:

the unit rate for miles per gallons = $3.95 miles$

Step-by-step explanation:

Let x be the unit rate for miles per gallon.

Given:

Jack drove 43.5 miles. He used 11 gallons of gasoline.

Find the unit rate for miles per gallon?

Jack used 11 gallons of gasoline for 43.5 miles.

11 gallons = 43.5 miles

The unit rate for miles per gallon is

unit rate of gallons = total miles divided by total used gallons of gasoline

$x=\frac{43.5}{11}$

$x=3.95miles$

Therefore, the unit rate for miles per gallons is 3.95 miles.

4 0

3 years ago