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2 years ago

Solve 3x-4=√(2x^2-2x+2)

Mathematics

1 answer:

DiKsa [7]2 years ago

8 0

Answer:

Step-by-step explanation:

Begin the solution by squaring both sides of the given equation. We get:

(3x - 4)^2 = 2x^2 - 2x + 2, or:

9x^2 - 24x + 16 = 2x ^2 - 2x + 2

Combining like terms results in:

7x^2 - 22x + 14 = 0

and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92

According to the quadratic formula, the solutions are

-b ± √discriminant -(-22) ± √92 22 ± √92

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

2a 14 14

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Steve sold 36 fruit baskets for a school fundraiser. Evie sold 25% of the number of baskets that Steve sold. How many fruit bask

xeze [42]

Answer:

9 fruit baskets.

Step-by-step explanation:

Given:

Steve sold 36 fruit baskets for a school fundraiser.

Evie sold 25% of the number of baskets that Steve sold.

Question asked:

How many fruit baskets did Evie sell?

Solution:

As given that Evie sold 25% of the number of baskets that Steve sold.

Number of baskets sold by Evie = 25% of 36

$=\frac{25}{100}\times36\\\\ =\frac{900}{100}\\ \\=9$

Thus, 9 fruit baskets sold by Evie.

4 0

2 years ago

A. x<-1 b. x>-1 c. x<1 d. x>1

Helga [31]

C. is the answer your looking for

5 0

2 years ago

Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating

bekas [8.4K]

Answer:

14/45

Step-by-step explanation:

So we have the fraction:

$0.3\bar1=0.31111...$

We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

$0.31111...=n$

Since there is only 1 digit repeating, let's multiply everything by 10. So:

$3.1111...=10n$

Now, subtract n from both sides:

$3.1111-n=10n-n$

On the left, substitute the number for n. On the right, combine like terms:

$3.1111...-0.31111...=9n$

All of the 1s will cancel. So:

$3.1-0.3=9n$

Subtract:

$2.8=9n$

Divide both sides by 9:

$n=2.8/9$

Remove the decimal by multiplying both sides by 10:

$n=28/90$

Reduce:

$n=14/45$

And we're done!

Use a calculator to check:

$14/45\stackrel{\checkmark}{=}0.31111...$

7 0

3 years ago

Simplify this expression 6x+13x=

leva [86]

In order to simplify, let's add 6x and 13x.

We will get 19x, and that is the answer!

3 0

3 years ago

Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What

jek_recluse [69]

Answer:

0.98

Step-by-step explanation:

The investment starts at $10,000.

$10,000 is 100% of the investment.

In the first year, it loses 2% of its value. That means that after 1 year, the value of 100% of $10,000 is decreased by 2% of $10,000.

100% - 2% = 98%

After the first year, the investment is worth 98% of the original value.

98% as a decimal is 0.98

Answer: 0.98

4 0

3 years ago

Read 2 more answers