All categories

2 years ago

What are the vertex and x intercepts of the graph of the function below y=(x-4)(x + 2)

Mathematics

1 answer:

jeyben [28]2 years ago

3 0

Answer:

x - intercepts: (4,0) and (-2,0)

vertex: (1/2 , - 17/2)

Step-by-step explanation:

Part A

To find the x-intercepts you have to set y=0

(x-4) (x+2) = 0

Separate the parenthesis. Solve for x

x-4 = 0

x= 4

x+2 = 0

x= -2

x - intercepts: (4,0) and (-2,0)

-------------------------------------------------

Part B

vertex formula for the x: coordinate : -b/2a

Expand the function.

y = 2x^2-2x-8

a = 2

b = -2

c= -8

-b/2a = -(-2)/2(2) = 1/2

vertex x- coordinate: 1/2

Substitute 1/2 back into every "x" in the function to find the "Y" for the vertex.

y = 2(1/2)^2 -2(1/2) -8

y = -17/2

vertex: (1/2 , - 17/2)

You might be interested in

What integer is equivalent to 9^3/2

ella [17]

Here is the problem and amswer 9/3=3 3/2= 1.5

4 0

3 years ago

Find the missing side of each triangle. leave your answers in simplest radical form

dedylja [7]

X^2 = 4^2 - (2√3)^2
x^2 = 16 - 12
x^2 = 4
x = 2

answer
x = 2 cm

7 0

3 years ago

The distance between two locations, A and B, is calculated using a third location C at a distance of 15 miles from location B. I

Jobisdone [24]

We will first calculate ∠A:
∠∠A = 180° - ( 105° + 20 ° ) = 180° - 125° = 55°
Then we will use the Sine Law:
15 / sin 55° = AB / sin 20°
15 / 0.81915 = AB / 0.342
AB · 0.81915 = 15 · 0.342
AB · 0.81915 = 5.13
AB = 5.13 : 0.81915
AB = 6.26 ≈ 6.3 miles
Answer: The distance between the locations A and B is 6.3 miles.

4 0

3 years ago

Read 2 more answers

What is the slope?<br>if possible can you explain?

Mandarinka [93]

Answer:

$m = \frac{4}{5}$

Step-by-step explanation:

The slope of a graph is also known as its gradient, which is the steepness of the graph.

If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:

$\boxed{slope = \frac{y1 - y2}{x1 - x2} }$

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.

m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).

6 0

2 years ago

If there are 3 basketballs for every 7 students at Wilder, then how many students are there if the store room has 49 basketballs

Doss [256]

Answer:

113 is correct because 49 divided by 3 is 16.33. 16.33 multiplied by 7 is 113

Step-by-step explanation:

3 0

3 years ago