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3 years ago

Write the y-intercept of x=5y-10

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

5 0

The y-intercept can be found by plugging in x=0. $x = 5y-10\\0=5y-10\\5y=10\\y=2\\\\\boxed{\sf{y-intercept: (0,2)}}$

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Solve 5(2^x+4)=15 round to the nearest thousandth

Novosadov [1.4K]

Answer:

Step-by-step explanation:

Begin by dividing by 5

2x + 4 = 3

Is this written as 2^(x + 4) = 3? I think it is.

Take the log of both sides

log 2^(x + 4) = log(3)

(x + 4) * log(2) = log 3

log 2 = 0.30103

log 3 = 0.47712

(x + 4) = log2 / log3

x + 4 = 0.63093 Add 4 to both sides

x = -3.369 Rounded to the nearest thousandth

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

If you mean the question exactly as it is written (the 4 is not part of the power)

5(2^x + 4) = 15

2^x + 4 = 3

2^x = 3 - 4

2^x = - 1

This can't be done 2 to any power should be >0.

if x>0 then this will give an ever increasing number

if xK0 then this will give an ever decreasing answer but still greater than 0.

No value will make 2^x go to something minus.

If I have misread this in some way, leave a note and I will get back to you.

5 0

3 years ago

The distribution of prices for home sales in a certain New Jersey county is skewed to the right with a mean of $290,000 and a st

I am Lyosha [343]

Answer:

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413) = 0.008$

Step-by-step explanation:

Step(i):-

Given the mean of the Population( )= $290,000

Standard deviation of the Population = $145,000

Given the size of the sample 'n' = 100

Given 'X⁻' be a random variable in Normal distribution

Let X⁻ = 325,000

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{325000-290000}{\frac{145000}{\sqrt{100} } } = 2.413$

Step(ii):-

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413)$

= 0.5 - A(2.413)

= 0.5 - 0.4920

= 0.008

Final answer:-

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413) = 0.008$

6 0

3 years ago

How to solve cube root of 8a⁶

Elena-2011 [213]

Answer:

2 a^2

Step-by-step explanation:

cube root of 8 = 2 cube root a^6 = a^2

8 0

2 years ago

Read 2 more answers

PLEASE HELP ANSWER SERIOUSLY

alex41 [277]

Answer:

raise a product to a power.

you first simplify the parenthesis in the numerator by raising 2 by the power of three and multiplying the exponents.

i suck at explaining, but after the first step the expression looks like:

$(\frac{8r^{6}t^{3} }{4t^{2} })^{2}$

Step-by-step explanation:

5 0

3 years ago

Plsssss ans plssss plssss

miss Akunina [59]

Answer:

a 3² +4² = 25 the factors are 5²

b 8²+6²= 100 the factors are 5²and 2²

c 12²+5²= 169 the factors are 13²

d 8²+15²= 289 the factors are 17²

8 0

3 years ago