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3 years ago

Solve the equation 3x^2+x-5=0

Mathematics

1 answer:

mihalych1998 [28]3 years ago

7 0

Answer:

Step-by-step explanation:

Use the quadratic equation, with a = 3, b = 1 and c = -5

Discriminant b^2 - 4ac is 1 - 4(3)(-5) = 61

Because the discriminant is + there are two real, unequal roots:

-1 ± √61

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

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Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).

mafiozo [28]

The ratio is 6.
Hope it helps

5 0

3 years ago

The pipe fitting industry had 546.5 thousand jobs in 2015 and is expected to decline at an average rate of 3 thousand jobs per y

lesya692 [45]

Answer:

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

Step-by-step explanation:

Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs ( $n$ ) after a certain amount of years (t) is given by the following formula:

$n = n_{o} + \frac{\Delta n}{\Delta t}\cdot t$

Where:

$n_{o}$ - Initial amount of jobs in pipe fitting industry, measured in thousands.

$\frac{\Delta n}{\Delta t}$ - Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)

If $n_{o} = 546.5$ , $t = 2025-2015 = 10\,years$ and $\frac{\Delta n}{\Delta t} = -3\,\frac{1}{years}$ , then:

$n = 546.5+\left(-3\,\frac{1}{year}\right)\cdot (10\,years)$

$n = 516.5$

The percent change in jobs from pipe fitting industry is calculated as follows:

$\%n = \left(1-\frac{n}{n_{o}}\right)\times 100\,\%$

$\% n = \left(1-\frac{516.5}{546.5}\right)\times 100\,\%$

$\%n = 5.5\,\%$

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

4 0

3 years ago

What is the range of the relation?

Vladimir [108]

A because ur is the closest and in the range order

4 0

3 years ago

A horse can run 44 per second for several minutes. A cheetah can run faster (88 feet per second) but can only sustain its top sp

qaws [65]

Answer:

44 feet

If it takes the horse 44 feet per second, and it takes the cheetah 88 feet, the difference is 44.

So, the horse must be 44 feet ahead to be safe. Hope it helps!

6 0

3 years ago

I need help ASAP!!! (please look at the image and explain how you got the answer, please and thanks)

egoroff_w [7]

Answer:

114

Step-by-step explanation:

so lets call shelf 1 x

shelf 2 is twice size + 18 of shelf 1 so it is 2(x)+18

shelf 3 is 12 less than shelf 1 so x-12

shelf 4 is four more so x+4

Add them all together and it should be 5x+10= 2.5 m or 250 cm

Solve for x using cm

then plug into shelf 2 equation

8 0

3 years ago