All categories

3 years ago

7|12x+3|- 1=62 hhih

Mathematics

1 answer:

zhuklara [117]3 years ago

8 0

Answer:

a. x = ½, and x = -1

Step-by-step explanation:

Given the equation, 7|12x + 3| - 1 = 62, solve as follows:

Add 1 to each side of the equation

7|12x + 3| = 62 + 1

7|12x + 3| = 63

Remove the absolute value to create ± on the right side of the equation

7(12x + 3) = ±63

Solve the positive portion of the solution

7(12x + 3) = 63

84x + 21 = 63

Subtract 21 from both sides

84x = 63 - 21

84x = 42

Divide both sides by 84

x = 42/84

x = ½

Solve the negative portion of the solution

7(12x + 3) = -63

84x + 21 = -63

Subtract 21 from each side of the equation

84x = -63 - 21

84x = -84

Divide both sides by 84

x = -84/84

x = -1

The answer is: x = ½, and x = -1

You might be interested in

Does anyone know how to do this please help me

Anit [1.1K]

Answer:

162°

Step-by-step explanation:

a circle has 360°, or the angle of a whole circle is that

so 45% of 360 =

0.45 times 360 = 162

7 0

3 years ago

Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while

kykrilka [37]

Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

$s=\frac{d}{t}$

Here:

s = speed

d = distance traveled

t = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, s₁ = 6 mph.

Distance traveled by Niles' sailboat is, d₁ = 36 miles.

Speed of Bob's sailboat is, s₂ = 16 mph.

Distance traveled by Bob's sailboat is, d₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

$t_{1}=\frac{d_{1}}{s_{1}}$

$=\frac{36}{6}\\=6$

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

$t_{2}=\frac{d_{2}}{s_{2}}$

$=\frac{96}{16}\\=6$

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

7 0

4 years ago

a researcher at a major clinic wishes to estimate the proportion of the adult population of the united states that has sleep dep

Anna11 [10]

Answer:

The estimate of a population proportion is approximately 541.

Step-by-step explanation:

We can solve the the problem by using the formula for minimum sample needed for interval estimate of a population proportion which is given by the formula

n = pq ((Z/2) / E)^2

As, p is not defined so we use the standard p and q which is 0.5 and 0.5.

The reason for this is we have to choose form 0.1 to 0.9 both values of p and q, we will find the maximum value of pq occurs when they both are 0.5.

Next, we will find the value of (Z/2) by looking at the Z-table, we will find that at 98% confidence (Z/2) = 2.326. Now we start substituting the values in the above formula

n = (0.5)×(0.5) × (2.326/0.05)^2

n = 541.027

n ≅ 541.

5 0

4 years ago

Help please. I need the answer.

Deffense [45]

Create and solve an appropriate equation: Maria's earnings = Liam's earnings

0.20x = $625+0.10x.

Find x.

0.10x = $625; thus, x = $6250. At this level of food sales, these two people earn the same amount.

3 0

3 years ago

What is 3.245 rounded to the nearest thousandth

kramer

3.25 is rounded to the nearest thousandth

8 0

4 years ago

Read 2 more answers

7|12x+3|- 1=62 hhih​

7|12x+3|- 1=62 hhih