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3 years ago

Which is an equation of a direct proportion? CLEAR CHECK y=8x y=12x+4 y=12x y=4x−4

Mathematics

1 answer:

elena-s [515]3 years ago

8 0

Answer:

$y=8x, \\y=12x$

Step-by-step explanation:

Proportional functions can be written as $y=kx$ , where $k$ is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after $x$ term). The only answers that fit this format are:

$\rightarrow \boxed{y=8x}\\\rightarrow \boxed{y=12x}$

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What is the simplified form of the quantity 4 x squared minus 25 over the quantity 2x minus 5 ?

Alenkasestr [34]

Answer:

B. 2x + 5, with the restriction x ≠ five over 2

Step-by-step explanation:

The given expression is the difference of squares, so factors as ...

the product of the quantity 2x plus 5 and the quantity 2x minus 5 over the quantity 2x minus 5

You will note that the numerator and denominator have a common factor:

the quantity 2x minus 5

Factoring that out gives ...

2x + 5, with the restriction x ≠ five over 2 (x is restricted from being a value that makes the denominator zero.)

_____

<em>Comment on the form of the answer</em>

Since you have written your math expressions using words instead of symbols, we assume you can read them more easily that way. So, we have provided the explanation in the form you can most easily understand. (Personally, I prefer math symbols. They are more compact and tend to be less ambiguous.)

7 0

3 years ago

Read 2 more answers

during a 5-year period, 35% storms caused a power out. 39 of the storms didnt. find the total number of storms over the 5-year p

Kay [80]

.65x=39
x=39/.65=60 just solve it as algebra

4 0

3 years ago

I need some help with this math problem. I've had it explained to me two different ways. If x= -3 then what would be the answer

nadya68 [22]

Answer:

The square root of x will be evaluated first before the addition of 5. Hence (-3)^2 = 9 and 9 +5 = 14, as per your teacher's answer, which is correct. The answer would not be -4.

8 0

3 years ago

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Flip a coin 10 times and record the observed number of heads and tails. For example, with 10 flips one might get 6 heads and 4 t

zepelin [54]

Answer:

The greater the sample size the better is the estimation. A large sample leads to a more accurate result.

Step-by-step explanation:

Consider the table representing the number of heads and tails for all the number of tosses:

Number of tosses n (HEADS) n (TAILS) Ratio

10 3 7 3 : 7

30 14 16 7 : 8

100 60 40 3 : 2

Compute probability of heads for the tosses as follows:

n = 10 tosses

$P(\text{HEADS})=\frac{3}{10}=0.30$

The probability of heads in case of 10 tosses of a coin is -0.20 away from 50/50.

n = 30 tosses

$P(\text{HEADS})=\frac{14}{30}=0.467$

The probability of heads in case of 30 tosses of a coin is -0.033 away from 50/50.

n = 100 tosses

$P(\text{HEADS})=\frac{60}{100}=0.60$

The probability of heads in case of 100 tosses of a coin is 0.10 away from 50/50.

As it can be seen from the above explanation, that as the sample size is increasing the distance between the expected and observed proportion is decreasing.

This happens because, the greater the sample size the better is the estimation. A large sample leads to a more accurate result.

5 0

3 years ago

70 points!

astra-53 [7]

y = 4.5x

Explanation:

9 ÷ 2 = 4.5

18 ÷ 4 = 4.5

27 ÷ 6 = 4.5

3 0

3 years ago