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3 years ago

Write on equation if the slope is 3/4 and the y-intercept is -4,

Mathematics

2 answers:

KonstantinChe [14]3 years ago

7 0

Answer:

thw abswer os tywentr yaxel

Step-by-step explanation:

Alja [10]3 years ago

5 0

Answer:

y = 3/4x + -4

or y = 3/4x - 4

Step-by-step explanation:

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Please simplify this, I will mark you brainliest and give thanks. Thank you

den301095 [7]

Answer:

The answer is either $\frac{1}{x^23(x-5)^2}$ or $\frac{x+5}{x-5}$

You can make x into

Step-by-step explanation:

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2 years ago

Read 2 more answers

A type of bacteria has a very high exponential growth rate of 80% every hour. If there are 10 bacteria, determine how many will

Lana71 [14]

<h3>There are 189 bacteria in 5 hours</h3><h3>There are 13382588 bacteria in 1 day</h3><h3>There are $10(1.8)^{168}$ bacteria in 1 week</h3>

<em><u>Solution:</u></em>

Given that,

A type of bacteria has a very high exponential growth rate of 80% every hour

There are 10 bacteria

<em><u>The increasing function is given as:</u></em>

$y = a(1+r)^t$

Where,

y is future value

a is initial value

r is growth rate

t is time period

From given,

a = 10

$r = 80 \5 = \frac{80}{100} = 0.8$

<em><u>Determine how many will be in 5 hours</u></em>

Substitute t = 5

$y = 10(1 + 0.8)^5\\\\y = 10(1.8)^5\\\\y = 10 \times 18.89568\\\\y \approx 188.96$

y = 189

Thus, there are 189 bacteria in 5 hours

<em><u>Determine how many will be in 1 day ?</u></em>

1 day = 24 hours

Substitute t = 24

$y = 10(1 + 0.8)^{24}\\\\y = 10(1.8)^{24}\\\\y = 10 \times 1338258.84\\\\y = 13382588.45\\\\y \approx 13382588$

Thus, there are 13382588 bacteria in 1 day

<em><u>Determine how many will be in 1 week</u></em>

1 week = 168

Substitute t = 168

$y = 10(1 + 0.8)^{168}\\\\y = 10(1.8)^{168}$

Thus there are $10(1.8)^{168}$ bacteria in 1 week

6 0

3 years ago

A balloon has a circumference of 11 cm. Approximate the surface area of the balloon to the nearest tenth.

Shalnov [3]

Answer:

1520.5 cm²

Step-by-step explanation:

Surface area of a sphere =

A = 4πr²

= 4 x π x (11)²

= 1520.530844

= 1520.5 cm²

7 0

3 years ago

If r1 and r2 are the roots of the quadratic equation ax+bx+c=0 show that r1+r2=-b/and r1r2=c/a

velikii [3]

$x_{1,2} = \frac{-b+- \sqrt{ b^{2} -4ac} }{2a}$

is the formula for calculating x1 and x2

To prove x1 + x2 = -b/a all we need to do is to express x1 and x2 from equation above

once we do we will get -2b/2a which is equal to -b/a because square root part will negate each other. one has + sign in front and other - sign

Showing that x1x2 = c/a goes similar way.
the numerator parts is actually difference of squares. after that we will have:
-b^2 -b^2 + 4ac = 4ac

in denominator we have 2a*2a = 4a^2
4ac/4aa = c/a

4 0

3 years ago

Amy's grandmother gave her 3 identical chocolate chip cookies and 4 identical sugar cookies. In how many different orders can Am

Dmitrij [34]

Answer:

chocolate chip cookie first: 15 ways

chocolate chip cookie last: 15 ways

chocolate chip cookie first and last: 5 ways

Step-by-step explanation:

There is a total of 7 cookies.

Is she eats a chocolate cookie first, she will have 2 chocolate cookies and 4 sugar cookies (6 in total).

So, to find the number of different orders that Amy can eat the remaining cookies, we just need to calculate a combination of 6 choose 2 (that is, the number of ways we can put the 2 chocolate cookies among the 6 cookies) or a combination of 6 choose 4 (same thing, but for the sugar cookies):

C(6,2) = 6! / (2! * 4!) = 6 * 5 / 2 = 15 ways

Is she eats a chocolate cookie last, she will have 2 chocolate cookies and 4 sugar cookies (6 in total), so the problem is solved again with a combination of 6 choose 2:

C(6,2) = 15 ways

Is she eats a chocolate cookie first and last, she will have just 1 chocolate cookie left and 4 sugar cookies (5 in total), so the problem is solved with a combination of 5 choose 1 or a combination of 5 choose 4:

C(5,1) = 5! / (1! * 4!) = 5 ways

6 0

3 years ago