MATHEMATICS HIGH SCHOOL

What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?

Answers

Answer 1
Answer: so we want to know the vertex point of the equation f(x)=-(x+8)(x-14). First lets simplify the equation: f(x)=-x^2+6x+112. Now lets calculate the vertex by transforming the function to the form: f(x)=a(x-h)^2 + k where h and k are vertex coordinates. So: f(x)= (-x^2+6x+9)+121=-(x-3)^2+121 and the vertex point is (3,121).
Answer 2
Answer:

Answer:

D.121

Step-by-step explanation:

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Solve the system of equations by graphing on your own paper. What is the x-coordinate of the solution? {y=x+7. y=-2x-11
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Please help!! thank you.
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What is a rule for the pattern 8,6,9,7,10...

Answers

the pattern is subtracting 2 then adding 3

Which one of these graphs does not illustrate a function? And why

Answers

Answer:

It would be Graph D

Step-by-step explanation:

It's graph D because according to the graph, it looks like the domain has 2 ranges since it made a vertical line. And as we know, vertical lines are not considered to be functional since a domain can't have more than one range.
The answer is graphs D

Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is

Answers

Answer:

0

Step-by-step explanation:

Given :Line CD contains points A (4, 6) and B (−2, 6).

To Find : The slope of line CD .

Solution :

A(x_(1),y_(1))=(4,6)

B(x_(2),y_(2))=(-2,6)

Formula for Slope(m):

m =(y_(2)-y_(1))/(x_(2)-x_(1))

putting values

m =(6-6)/(-2-4)

m =(0)/(-6)

m =0

Hence the slope of line CD = 0
m = (y_(2) - y_(1))/(x_(2) - x_(1)) = (6 - 6)/(-2 - 4) = (0)/(-6) = 0

The slope of line CD is 0, making the function equal to y = 6

Freddy reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:Which equation best models the relationship between x and y?

y = −5x + 40
y = −40x + 280
y = −40x + 200
y = −5x + 200

Answers

Wow, the only thing i can think of is that it gives you y and x, so you're basically plugging in the other numbers. So y = 200 and x = 5, and if you were to plug those numbers into each equation they give you, you would come up with 15, 80, 0, and 175. But you're trying to get y to equal 200, so the closest one is c. I'm sorry that's the only thing i can come up with. The rest just aren't close.

The linear equation that best models the relationship between x and y is y = -40x + 200.

What is the graph of a linear equation?

The graph of a linear equation is a straight line graph and the function of a linear equation assumes a slope-intercept form y = mx + b

where;

  • Slope = m
  • y-intercept = b

The slope = rise/run

From the graph, we need to rise 200 units to the origin and run 5 units to the horizontal positive axis.

So,

  • Slope = -200/5
  • Slope = -40

The y-intercept is the region at which the line cuts the vertical axis.

  • y-intercept = (0,200)

Now, putting it all together and using the slope-intercept form, the equation that best models the relationship between x and y is:

y = -40x + 200

Learn more about the graph of a linear equation here:

brainly.com/question/1884491

#SPJ5

Write the equation for the perpendicular bisector of a segment that has endpoints (–1, 10) and (3, 6).A) y = x – 7
B) y = x + 7
C) y = –x + 9
D) y = x + 11

Answers

Answer:

y= x+7

Step-by-step explanation:

find the midpoint using the midpoint formula

you get (1,8)

find the slope

-1 and the opposite reciprocal is 1

put the midpoint and  the opposite reciprocal slope in

the formula y-8= 1(x-1)

simplify y=x+7

Tommy, Joel, and Garrett shared a supreme pizzafrom Pizza Kingdom. Tommy ate 3/8 of the pizza, Joel ate 1/2 of the pizza, and Garrett ate the rest. What is the ratio of Tommy's share to Joel's share to Garrett's share?

Answers

Answer:

1/8

Step-by-step explanation:

Tommy: 3/8

Joel: 4/8

Garrett: 1/8
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