All categories

2 years ago

Show the steps and name the properties you used to solve the equation below

Mathematics

1 answer:

DochEvi [55]2 years ago

6 0

Answer:

0.477121=−log(3x+7)+0.30103

Step 1: Flip the equation.

−log(3x+7)+0.30103=0.477121

Step 2: Add -0.30103 to both sides.

−log(3x+7)+0.30103+−0.30103=0.477121+−0.30103

−log(3x+7)=0.176091

Step 3: Divide both sides by -1.

log(3x+7)=−0.176091

Step 4: Solve Logarithm.

log(3x+7)=−0.176091

10log(3x+7)=10−0.176091

3x+7=0.666667

3x+7−7=0.666667−7(Subtract 7 from both sides)

3x=−6.333333

−6.333333

(Divide both sides by 3)

x=−2.111111

Step-by-step explanation:hope this helps

You might be interested in

Solve for d.<br> -4d + 7 = 3d

STALIN [3.7K]

Step-by-step explanation:

The Answer Is

-4d + 7 = 3d

So, 7 = 3d + 4d

Then, 7 = 7d

•d = 7/7

= 1

So D = 1.

4 0

2 years ago

Twice a number, increased by 3 is the same as five less than four times a number.what is the number?

zzz [600]

Answer:

x = 4, hope this helps!

Step-by-step explanation:

2x + 3 = 4x - 5

-2x -2x

3 = 2x -5

+5 +5

8 = 2x

divide by 2 on both sides

4 = x

switch where the x and 4 is, because teachers seem to like that

x = 4

8 0

3 years ago

A number is written with the following factorization: 22 × 3 × 54 × 8 × 11 2 . Is this factorization a prime factorization? Expl

Flauer [41]

Answer:

This factorization is not a prime factorization.

Step-by-step explanation:

Prime factorization always singles down to prime numbers. The following factorization is not a prime factorization because the factors are not all prime. For example, 22 is not prime.

4 0

3 years ago

1. In which quadrant does θ lie given that sinθ>0 and cosθ<0?

expeople1 [14]

Answer:

$\theta$ is in quadrant II

Step-by-step explanation:

Given

$\sin(\theta) > 0$ and $\cos(\theta) < 0$

Required

Where is $\theta$

$\sin(\theta) > 0$ and $\cos(\theta) < 0$ imply that

$\theta$ is in quadrant II

Because that is only quadrant where $\sin(\theta) > 0$ and $\cos(\theta) < 0$ exist.

4 0

3 years ago

Which expression is equivalent to 1/4 (8-6x+12)

Dovator [93]

So:

Let us simply the parenthesis first.

So we have $\sf{(8-6x+12)}$

We can rearrange the terms and get:

$\sf{(8+12-6x)}$

Which is equal to

$\sf{(20-6x)}$

So now we have to complete it by multiplying it all by 1/4 which is basically dividing it by 4.

So:

$\sf{\frac{20-6x}{4}}$

Simplifying that, we get:

$\sf{5-\frac{6}{4}x}$

And reducing that farther we finally get:

$\sf{5-\frac{3}{2}x}$

Which is your final answer :)

6 0

3 years ago