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2 years ago

This is a sketch of the curve with equation y = f(x).

Mathematics

1 answer:

Galina-37 [17]2 years ago

4 0

Answer:

Below in bold.

Step-by-step explanation:

a) the curve moves up 5 units, so

the vertex is (2, -3 + 5)

= (2, 2).

b) - f(x) is the image of f(x) in the x-axis so

The vertex is at (2, 3).

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If x - 3 =4 <br> -2 (x + 5)<br> Then x =what?

Ostrovityanka [42]

Answer:

someone help me with this ASAp

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0

kolbaska11 [484]

Answer:

$Q_3 = 56.45$ --- The third quartile

$Var = 370.18$ -- Variance

Step-by-step explanation:

Given

$Q_1 = 30.8$ -- First quartile

$Q_2 = 48.5$ --- Median

$\bar x = 42$ --- Mean

$Skp = -0.38$ --- Coefficient of skewness

Solving (9): The third quartile $Q_3$

This is calculated from

$Skp = \frac{Q_1 + Q_3 - 2Q_2}{Q_3 - Q_1}$

So, we have:

$-0.38 = \frac{30.8 + Q_3- 2*48.5}{Q_3 - 30.8}$

Cross Multiply

$-0.38 (Q_3 - 30.8)= 30.8 + Q_3- 2*48.5$

Open bracket

$-0.38Q_3 + 11.704= 30.8 + Q_3- 97.0$

Collect like terms

$-0.38Q_3 -Q_3= 30.8 - 97.0- 11.704$

$-1.38Q_3= -77.904$

Divide both sides -1.38

$Q_3 = \frac{-77.904}{-1.38}$

$Q_3 = 56.45$ --- approximated

Solving (b): The variance

First, calculate the standard deviation from:

$3IQR = 4SD$

$IQR= Q_3 - Q_1$

So:

$3IQR = 4SD$

$3(Q_3 - Q_1) = 4SD$

Make SD the subject

$SD = \frac{3}{4}(Q_3 - Q_1)$

$SD = \frac{3}{4}(56.45 - 30.8)$

$SD = \frac{3}{4}*25.65$

$SD = \frac{3*25.65}{4}$

$SD = \frac{76.95}{4}$

$SD = 19.24$

So, the variance is:

$Var = SD^2$

$Var = 19.24^2$

$Var = 370.18$

5 0

3 years ago

Natalia bought 4 boxes of pencils and 9 reams of paper for 75$. Ronnie by eight boxes of pencils and five reams of paper for 67.

storchak [24]

Answer:a box of pencil cost=$4.395

And a ream of paper cost=$6.38

Step-by-step explanation:

Let the cost of box of pencil be represented as p

And the cost of ream of paper be represented as r

Such that

4 boxes of pencils and 9 reams of paper costing 75$ be represented as

4p+9r=75-----equation 1

Also, eight boxes of pencils and five reams of paper for 67 be represented as

8p + 5r=67------equation 2

Solving

4p+9r=75-----equation 1

8p + 5r=67------equation 2

By elimination method, multiply equation 1 by 2 and equation 2 by 1

8p +18r=150---equation 3

8p+5r=67----equation 4

Subtracting equation 4 from equation 3

13r=83

r=83/13

r=6.38

Putting the value of r=6.38 in equation 1 to solve for p, we have

4p+9r=75

4p+9(6.38)=75

4p+57.42= 75

4p=75-57.42

4p=17.58

p=17.58/4

p=4.395.

Therefore a box of pencil cost=$4.395

And a ream of paper cost=$6.38

8 0

3 years ago

The amount of salt, in grams, in a solution is proportional to the volume, in liters, of the solution as shown on the graph.

maw [93]

The correct answer is 2.5. Not too sure how to get that answer but my math test had this question and that was the answer.

3 0

3 years ago

Read 2 more answers

Write the point-slope form of the equation of the line through (4,-2) with slope of -1/2.

djverab [1.8K]

Answer:

Step-by-step explanation:

y + 2 = -1/2(x - 4)

y + 2 = -1/2x + 2

y = -1/2x

8 0

4 years ago