All categories

2 years ago

Solve the equation: 4x - 5 = 8 + 4x *13-130all real numbersno solution

Mathematics

1 answer:

Hatshy [7]2 years ago

8 0

To solve the equation you can first subtract 4x from both sides. Then,

$\begin{gathered} 4x-5=8+4x\rightarrow\text{original equation} \\ 4x-4x-5=8+4x-4x \\ 0-5=8+0 \\ -5=8 \end{gathered}$

Since you arrive at something false, -5 is not equal to negative 8, so the equation has no solution.

You might be interested in

Mary is preparing for her birthday party , and she needs to give sweets to all her 10 friends who are invited . To do this , she

hram777 [196]

Answer:

Since each bag has 9strawberries and lemon she gives out 10 strawberries and lemon so she remains with 9 and a quarter bags .

Step-by-step explanation:

Remember each bag contains 9 so she has to pick either one strawberry or a lemon so in the 9th bag she remains with 8 candies.

8 0

3 years ago

A television was originally priced at $598.00. The price was reduced by 6%. What is the new price of the television?

aksik [14]

Hello.

To find the answer of this question, you need to find 6% of 598.
6 / 100 = 0.06. 0.06 x 598 = 35.88. So now all you have to do is subtract 35.88 from 598. 598 - 35.88 = 562.12.

So the new price of the television is 562.12.

Have a great day! :)

8 0

3 years ago

Pat has been assigned the job of picking apples from the family orchard. He could do the job alone in 8 hours. He knows that his

schepotkina [342]

Answer:

3.7 hours

Step-by-step explanation:

Pat could do the job alone in 8 hours.

Patti could do the job alone in 7 hours

Output = Rate * time

Let the rate at which pat does the work = Rp

Let the rate at which Patti does the work = Rt

Let X be the total output

Rp * 8 = X

Rp = X/8

Rt * 7 = X

Rt = X/7

If both pat and Patti pick apples, we have

(Rp+Rt)T = X

(X/8 + X/7)T = X

[(7X + 8X)/56]T = X

[X(7+8)/56]T = X

Divide both sides by X

[(7+8)/56]T = 1

(15/56)T = 1

T = 56/15

T = 3.7 hours

8 0

3 years ago

The following data on average daily hotel room rate and amount spent on entertainment (The Wall Street Journal, August 18, 2011)

Zielflug [23.3K]

Answer:

a. Predicted Amount = $109.46

b. Confidence Interval = (94.84,124.08)

c. Interval = (110.6883,188.8517)

Step-by-step explanation:

Given

ŷ = 17.49 + 1.0334x.

SSE = 1541.4

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46 --- Approximated

Predicted Amount = $109.46

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46

First we calculate the standard deviation

variance = SSE/(n-2)

v = 1541.4/(9-2)

v = 1541.4/7

v = 220.2

s = √v

s = √220.2

s = 14.839

Then we calculate mean(x) and ∑(x - (mean(x))²

X --- Y -- Mean(x) --- ∑(x - (mean(x))²

148 -- 161 -- 43-- 1849

96 || 105|| -9 || 81

91 ||101 || -14 || 196

110 || 142 || 5 || 25

90 || 100 || -15 || 225

102 || ||120 ||-3|| 9

136 || 167 ||31 ||961

90 || 140 ||-15 ||225

82 || 98 ||-23 || 529

Sum 945 || 1134|| 0 ||4100

Mean (x) = 945/9 = 105

∑(x - (mean(x))² = 4100

α = 1 - 95% = 5%

α/2 = 2.5% = 0.025

tα,df = n − 2 = t0.025,7 =2.365

Confidence interval = 109.46 ± 2.365 * 14.839 √((1/9)+ (89-105)²/4100

Confidence Interval = (109.46 ± 14.62)

Confidence Interval = (94.84,124.08)

ŷ = 17.49 + 1.0334(128)

ŷ = 149.7652

ŷ = 149.77

Interval = 149.77 ± 2.365 * 14.839 √((1/9)+ (128-105)²/4100

Interval = 149.77 ± 39.0817

Interval = (110.6883,188.8517)

3 0

3 years ago

You are told that in a billiards shot, the cue ball was shot at the eight ball, which was 8 inches away. As a result, the eight

Trava [24]

The answer is ten inches

5 0

3 years ago

Read 2 more answers