All categories

2 years ago

Rewrite! Write an new and equivalent equation that is easier to solve

Mathematics

1 answer:

Marysya12 [62]2 years ago

6 0

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - an equation in a standard form

To do - simplify the equation so as to obtain an easier one

Since the equation provided isn't in it's general form , let's first convert it ~

General form of a Linear equation -

$\bold{ax + b = 0}$

The equation after getting converted will be as follows ~

$- 7 + ( \frac{4x + 2}{2} ) = 8 \\ \\ \implies \: \frac{ - 14 + 4x + 2}{2} = 8 \\ \\ \implies \: - 14 + 4x + 2 = 16 \\ \\ \implies \: 4x = 16 + 14 - 2 \\ \\ \implies \: 4x = 28 \\ \\\bold{ General \: form \: \dashrightarrow \: 4x - 28 = 0}$

hope helpful ~

You might be interested in

Solve for x 3^x+4=9 3 to the power of x plus 4 is equal to 9

Bingel [31]

$3^{x} + 4 = 9 \\3^{x} = 5 \\ln(3^{x}) = ln(5) \\xln(3) = ln(5) \\\frac{xln(3)}{ln(3)} = \frac{ln(5)}{ln(3)} \\x = \frac{ln(5)}{ln(3)}$

or

$3^{x + 4} = 9 \\ln(3^{x + 4}) = ln(9) \\(x + 4)ln(3) = ln(9) \\\frac{(x + 4)ln(3)}{ln(3)} = \frac{ln(9)}{ln(3)} \\x + 4 = \frac{ln(3^{2})}{ln(3)} \\x + 4 = \frac{2ln(3)}{ln(3)} \\x + 4 = 2 \\x = -2$

6 0

3 years ago

Read 2 more answers

The heights in inches of orangutans Are normally distributed with a population standard deviation of 3" and an unknown populatio

CaHeK987 [17]

Answer: The 95% confidence interval is approximately (55.57, 58.43)

======================================================

Explanation:

At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.

The sample size is n = 17

The sample mean is xbar = 57

The population standard deviation is sigma = 3

The lower bound of the confidence interval is

L = xbar - z*sigma/sqrt(n)

L = 57 - 1.960*3/sqrt(17)

L = 55.5738905247863

L = 55.57

The upper bound is

U = xbar + z*sigma/sqrt(n)

U = 57 + 1.960*3/sqrt(17)

U = 58.4261094752137

U = 58.43

Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.

7 0

3 years ago

In a study investigating a link between walking and improved health, researchers reported that adults walked an average of 873

Rainbow [258]

Answer:

$H_0:\mu =873\\\\H_a: \mu$

Step-by-step explanation:

Given : In a study investigating a link between walking and improved health, researchers reported that adults walked an average of 873 minutes in the past month for the purpose of health or recreation.

Claim : The true average number of minutes in the past month that adults walked for the purpose of health or recreation is lower than 873 minutes.

i.e. $\mu$

We know that the null hypothesis contains equal sign , then the set of hypothesis for the given situation will be :-

$H_0:\mu =873\\\\H_a: \mu$

4 0

3 years ago

What is the value of x?

kicyunya [14]

Answer:

(5(x-4))0

evaluate

Step-by-step explanation:

your answer is one i believe

6 0

3 years ago

Read 2 more answers

Find the indicated sum for each sequence. S9 of –9, 36, –144, 576, ...

gogolik [260]

This is a geometric sequence with a common ratio of -4:

-9*-4=36

36*-4=-144

-144*-4=576

Thus, the 9th term would be equal to:

(-4)^5*576 which is -589824

The exponent 5 comes from the fact that 4 terms have already been displayed and we need 9-4 more terms to get to the 9th term. Since we are multiplying by -4 only, the 5 remains an exponent

5 0

4 years ago