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polet [3.4K]
4 years ago
11

With a rate of change = 0.10 & an initial value = 10, how would you represent this as a linear equation?

Mathematics
2 answers:
kicyunya [14]4 years ago
5 0

Answer:

y = .10x +10

Step-by-step explanation:

If the equation is linear, we can write it in the form y=mx+b where m is the slope and b is the y intercept

The y intercept is where we start, or the initial value

The slope is also call the rate of change

y = .10x +10

andrew11 [14]4 years ago
4 0

Answer:

First one

Step-by-step explanation:

rate of change = 0.10

Means

The slope = 0.10

m = 0.10

An initial value = 10

Means

y-intercept = 10

b = 10

y = mx + b

y = 0.10x + 10

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Factor the polynomial.<br> 13x² – 20x – 12
erma4kov [3.2K]

Answer:

(13 x + 6) (x - 2)

Step-by-step explanation:

Factor the following:

13 x^2 - 20 x - 12

Factor the quadratic 13 x^2 - 20 x - 12. The coefficient of x^2 is 13 and the constant term is -12. The product of 13 and -12 is -156. The factors of -156 which sum to -20 are 6 and -26. So 13 x^2 - 20 x - 12 = 13 x^2 - 26 x + 6 x - 12 = x (13 x + 6) - 2 (13 x + 6):

x (13 x + 6) - 2 (13 x + 6)

Factor 13 x + 6 from x (13 x + 6) - 2 (13 x + 6):

Answer: (13 x + 6) (x - 2)

6 0
3 years ago
if you are in school for 178 days for 6 hours and 40 minutes how many hours and minutes would you be in school over all​
GREYUIT [131]

Answer:

1139.2 hours

Step-by-step explanation:

6.40 x 178 = 1139.2

4 0
3 years ago
Read 2 more answers
A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a stand
Art [367]

Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

This means that:

\mu_G = 15

s_G = \frac{4.2}{\sqrt{35}} = 0.71

The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:

This means that:

\mu_E = 13.4

s_E = \frac{3.7}{\sqrt{40}} = 0.585

Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

Shape is approximately normal.

Mean:

\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6

Standard deviation:

s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92

So the correct answer is given by option b.

8 0
3 years ago
Simply the following expression 35 +(-13)+(8)-(-6)
soldier1979 [14.2K]

35 + (-13) + (8) - (-6)

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7 0
3 years ago
Can someone offer help to this ratio question
AlekseyPX

Answer:

Cherry Pink has not been made (25:17\neq 4:3)

Step-by-step explanation:

Given that she already has 60litres of Rose Pink paint, we use the ratios to determine the volumes of red/white used:

Rose Pink=60l\\\\Red=\frac{1}{3}\times 60\\\\=20l\\\\White=\frac{2}{3}\times 60\\\\=40l

#Add these proportions to the additional red and white paints to determine if Cherry Pink has been made:

V_r=20l+80l\\\\=100l\\\\V_w=40l+28l\\\\=68l\\\\\therefore r:w=100l:68l     \ \ \ \ \  \ \ \ \  \ \# simplify\\\\r:w=25:17

We equate this proportion to the Cherry Pink proportion to verify if Cherry pink has been made:

25:17\neq 4:3

Hence, Cherry pink has not been made.

3 0
4 years ago
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