All categories

3 years ago

Solve by factoring 25x^2+1=10

Mathematics

2 answers:

Soloha48 [4]3 years ago

8 0

Answer:

x = 3/5, -3/5

Step-by-step explanation:

Levart [38]3 years ago

3 0

Answer:

x = ± $\frac{3}{5}$

Step-by-step explanation:

Given

25x² + 1 = 10 ← subtract 10 from both sides

25x² - 9 = 0 ← in standard form

note that 25x² - 9 is a difference of squares and factors as

(5x - 3)(5x + 3) = 0

Equate each factor to zero and solve for x

5x - 3 = 0 ⇒ 5x = 3 ⇒ x = $\frac{3}{5}$

5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - $\frac{3}{5}$

You might be interested in

Supriya invested $14,320 in a highly rated ETF. At the end of four years, she had $18,434. What was her annual effective yield o

adoni [48]

Answer:

6.517%

Step-by-step explanation:

This is a multi-year investment and we are not working with a $1 initial investment. There is no mention of compounding so we will use formula A=P0⋅(1+r)N with A=$18,434 and P0=$14,320. We do not know the value of r. However, N=4 years. Substituting the values we have $18,434=$14,320⋅(1+r)4. Divide both sides of the equation by $14,320. Next, take the fourth root of both sides of the equation and subtract 1 to find the decimal form of r.

$18,4341.287291.065170.06517=$14,320⋅(1+r)4=(1+r)4=1+r=r

Finally, convert r to a percent.

r=0.06517×100%=6.517%

6 0

3 years ago

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate

Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

$\sigma^2 = 484\\\sigma =\sqrt{484} = 22$

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

$E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get

$E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373$

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0

3 years ago

A map is drawn using a scale of 1cm/80mi

Setler79 [48]

Answer:

B) 3.5cm

Step-by-step explanation:

1/80 = n/280

1 * 280 = n * 80

280 = 80n

3.5 = n or n = 3.5

4 0

3 years ago

The surface area of the pyramid with square base that measures 8 ft by 8 ft and slant height of 12 ft is 256 ft^2.

Maru [420]

Eeeeeeertyuiopppppppppppppppppppppppppp

5 0

3 years ago

Simplify. √49 14 12 7 9

LiRa [457]

Answer:

or -7

Step-by-step explanation:

sqrt(49)

What number multiplied by itself = 49

7*7 = 49

-7*-7 = 49

8 0

3 years ago