Where is the vertex of the graph of y = -x^2+4x+5 located? (2.9)
(-2, -7)
(2, 5)
(-2, 1)

Answers

Answer 1

Answer: Hello,

y=-x²+4x+5=-(x²-4x+4)+5+4=-(x-2)²+9

Answer A (2,9)

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How do you find the point of intersection(s) for x = 2y2 + 3y + 1 and 2x + 3y2 = 0A) You cannot find points of intersections for non-functions.

B) Plug in 0 for x into both equations and solve for y. Then plug that answer back into the other equation to find the corresponding x-coordinate.

C) Solve both equations for x and set them equal to each other. This will give you the y-coordinates of the points of intersection. Then plug back into one of the equations to find the corresponding x-coordinates.

D) Solve both equations for y and set them equal to each other. This will give you the x-coordinates of the points of intersection. Then plug back into one of the equations to find the corresponding y-coordinates.

Answers

x = 2y2 + 3y + 1 and 2x + 3y2 = 0

OptionC) Solve both equations for x and set them equal to each other. This will give you the y-coordinates of the points of intersection. Then plug back into one of the equations to find the corresponding x-coordinates.

x = 2y^2 + 3y + 1 x = - 3y^2 / 2

2y^2 + 3y + 1 = - 3y^2 / 2

4y^2 + 6y +2 = -3y^2

4y^2 + 3y^2 + 6y +2 = 0

7y^2 +6y + 2 = 0

Now you apply the quadratic formula and find y-values. Then use those values to find the x -values.

Use the linear equation to answer the question
y=2/3x-3
y=-3/2x+2

Answers

Answer:

Step-by-step explanation:

3y = 2x - 9

2y = -3x + 4

3x + 2y = 4

-2x + 3y = -9

6x + 6y = 8

-6x + 9y = -27

15y = -15

y = -1

3(-1) = 2x - 9

-3 = 2x - 9

6 = 2x

3 = x

(3, -1)

Ninety percent of the ninth grade students at Richbartville High School take algebra. If 180 ninth grade students take algebra, how many ninth grade students do not take algebra? Please give answer and explain how to do it I'm so confused!

Answers

Let the total number of students be x.

Now, according to your question, 90% of x = 180

= 90/100 * x = 180

90x = 18000

Thus, x = 18000/90

= 200.

Thus, the total number of students are 200. Out of these, 180 are taking algebra. Thus, 20 students are not taking algebra.

What is the slope of the line represented by the equation 4x+3y=12

Answers

To do this we need to rewrite the equation in terms of y
4y=12-3x
y=3-3x/4
Therefore the gradient is -3/4

the sales tax for a certain state can ne found ny multiplying the purchase price by 1/20 what is the sales.tax on an item that is 25.60 express your answer as a decimal

Answers

The salestax on an item that is 25.60 dollars is 1.325 dollars.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

There are two types of fractions one is a proper fraction and another one is an improper fraction.

In proper fractions, the numerator is smaller than the denominator and in improper fractions, the numerator is greater than the denominator.

Given, sales tax for a certain state can be found by multiplying the purchase price by 1/20.

∴ Sales tax on an item that is 25.60 is 25.60×1/20.

= 1.325 dollars.

learn more about fractions here :

brainly.com/question/10354322

#SPJ2

First, convert 1/20 to decimal form:
1/20 = 0.05
This means that the sales tax rate is 5%.
Multiply the cost of the item times 0.05 to get the amount of the sales tax:
25.60 * 0.05 = $1.28 sales tax

Which function will have a y-intercept at -1 and an amplitude of 2?

Answers

The first and 3rd choices are just sin and cos waves, with amplitude of 1 .
So it has to be the 2nd or 4th choice.

The y-intercept is the point on the graph where x=0.
So if the y-intercept is -1, that just means that f(0)=-1 .
So let's test the two choices:

   f(x) = -2 sin(x) - 1

   f(0) = -2 sin(0) - 1
sin(0) = 0 so
   f(0) = -2 (0) - 1 .
That looks like it works.
Just to be sure, let's check the other possible choice.

f(x) = -2 cos(x) - 1

   f(0) = -2 cos(0) - 1

cos(0) = 1 so f(0) = -2 (1)    - 1 = -3 .

Beautiful ! The y-intercept of choice-2 is -1,
and the y-intercept of choice-4 is -3. The answer is choice-2.

Answer:

the answer is b

Step-by-step explanation:

Im just typing this so it knows that I properly explained

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