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3 years ago

Choose which function is represented by the graph

Mathematics

1 answer:

Viefleur [7K]3 years ago

4 0

Given:

The graph of a function.

To find:

The function.

Solution:

From the given graph, it is clear that the graph intersect the x-axis at x=-4, -2, 1. It means -4, -2 and 1 are zeros of the given function graph.

If c is a zero of a function f(x), then (x-c) is a factor of f(x).

Using the above definition, we conclude that (x+4), (x+2) and (x-1) are the factors of given function. So,

$f(x)=(x+4)(x+2)(x-1)$

$f(x)=(x-1)(x+2)(x+4)$

Therefore, the correct option is A.

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If a cylinder has a volume of 1884 cubic centimeters and a height of six cm, explain how to find the radius of the

vitfil [10]

Answer:

10 cm

Step-by-step explanation:

The volume of the cylinder is 1884 cubic centimetres and its height is 6 cm.

The volume of a cylinder is given as:

$V = \pi r^2 h$

where r = radius

h = height

To find the radius of the base of the cylinder, we make r the subject of the formula and solve it:

$V = \pi r^2 h$

Divide both sides by πh:

$\frac{V}{\pi h} = \frac{\pi r^2h}{\pi h} \\\\=> \frac{V}{\pi h} = r^2$

Find the square root of both sides:

$\sqrt{\frac{V}{\pi h}} = \sqrt{r^2} \\\\=> r = \sqrt{\frac{V}{\pi h}}$

Let us find the value of r:

$r = \sqrt{\frac{1884}{\pi * 6}}\\\\r = \sqrt{99.9493} \\$

=> r = 9.9975 cm ≅ 10 cm

3 0

3 years ago

kelsey is 24 years younger than joyce. in two years, joyce will be 3 times as old as kelsey will be then. how old are they now?

Vitek1552 [10]

Answer:

24÷2=12

12×3=36

HOPE THIS HELPS!!!!!!!!!!!

Step-by-step explanation:

4 0

3 years ago

Which ordered pairs lie on the graph of the exponential function f(x)=2(x+4)−8f(x)=2(x+4)−8 ?

sergejj [24]

Simplify the equation
f(x) = 2x + 8 - 8
f(x) = 2x

Now substitute the x values
f(24) = 2(24) = 48
f(8) = 2(8) = 16
f(2) = 2(2) = 4
f(-2) = 2(-2) = -4

The correct answer is 4. (-2,-4)

6 0

2 years ago

Read 2 more answers

What is the percent for 10.44?

e-lub [12.9K]

10.44 = 1044/1000 = 104.4%

7 0

3 years ago

Please help, super hard question for me!

dem82 [27]

Answer:

Step-by-step explanation:

When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.

Solve the systems of equations using the substitution method

{y=2x+4

{y=3x+2

We substitute the y in the top equation with the expression for the second equation:

2x+4 = 3x+2

4−2 = 3x−2

2=== = x

To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:

y= 2x + 4

We plug in x=2 and get

y= 2⋅2+4 = 8

The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.

Example:

2x−2y = 8

x+y = 1

We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:

2x−2y = 8

2x+2y = 2

Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:

(2x+2x) + (−2y+2y) = 8+2

The y-terms have now been eliminated and we now have an equation with only one variable:

4x = 10

x= 10/4 =2.5

Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:

2⋅2.5−2y = 8

5−8 = 2y

−3 =2y

−3/2 =y

y =-1.5

6 0

2 years ago