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vampirchik [111]
2 years ago
15

Graph

= 1/4x +1" align="absmiddle" class="latex-formula">y= 1/4x +1

​
Mathematics
1 answer:
kompoz [17]2 years ago
4 0

Answer:

Graph below

Step-by-step explanation:

start at (0,1)

up 1

right 4

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What’s the answer to the question?
SIZIF [17.4K]

Answer:

No, because it does not have a constant rate of change

Step-by-step explanation:

look at the changes of the y values when going from one x value to the next.

x always changes by 1.

but y changes by +7, +5, +6.

the change rate is the ratio y/x.

as we can see, this changes in each interval.

so, the change rate is not constant.

but this is the deciding property of a linear function. as the name says, a linear function is a straight line. it has the same incline (= changes rate) everywhere on the line. otherwise it is not a straight line.

5 0
2 years ago
Given that P = (2, 9) and Q = (4, 14), find the component form and magnitude of vector PQ.
polet [3.4K]
We are asked to determine the lengths of the line segment drawn with these points as endpoints. The equation of the distance between points is,
                              d = sqrt ((y2 - y1)² + (x2 - x1)²)
Substituting the coordinates of the points,
                               d = sqrt ((14 - 9)² + (4 - 2)²)
The numerical value for d is approximately 5.39. 
6 0
4 years ago
What is the d/dx tan^3x
Bad White [126]
\frac{d}{dx}(tan^{3}x) = \frac{d}{dx}(tanx)^{3}
= 3(tanx)^{2} \cdot sec^{2}x

\therefore \frac{d}{dx}(tan^{3}x) = 3tan^{2}x \cdot sec^{2}x
6 0
4 years ago
1. Solve for the variable in the following proportion.
Ugo [173]

Answer:

1. 3

3. 10

Step-by-step explanation:

1. Write a proportion by writing each ratio as a fraction and setting the fractions equal. A proportion is an equation where two ratios are equal to each other. Then cross multiply denominator and numerator of each fraction to solve.

\frac{n}{.5} = \frac{6}{1}\\  1*n = 0.5*6\\n = 3

2. Repeat same process as #1.

3. The ratio of girls to boys is 3:2. There are 15 girls. write a proportion to solve using b as the number of boys.

\frac{3}{2} = \frac{15}{b}\\  3*b = 2*15\\3b = 30 \\ b = 10

There are 10 boys.

7 0
3 years ago
Read 2 more answers
Find the variance of this probability distribution. Round to two decimal places.​
attashe74 [19]

Answer:

Variance = 4.68

Step-by-step explanation:

The formula for the variance is:

\sigma^{2} =\frac{\Sigma(X- \mu)^{2}}{N} \\or \\ \sigma^{2} =\frac{\Sigma(X)^{2}}{N} -\mu^{2} \\

Where:

X: Values \\\mu: Mean \\N: Number\ of\ values

The mean can be calculated as each value multiplied by its probability

\mu = 0*0.4 + 1*0.3 + 2*0.1+3*0.15+ 4*0.05=1.15

\frac{\Sigma (X)^{2}}{N} =\frac{(0^{2}+1^{2}+2^{2}+3^{2}+4^{2})}{5} =6

Replacing the mean and the summatory of X:

\sigma^{2} = \frac{\Sigma(X)^{2}}{N} -\mu^{2} \\= 6 - 1.15^{2}\\= 4.6775

4 0
4 years ago
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