MATHEMATICS HIGH SCHOOL

Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.The function in vertex form is f(x) = (x - 4)2 - 11.
The vertex of the function is (-8,5).
The axis of symmetry is x = 5.
The y-intercept of the function is (0.5).
The function crosses the x-axis twice

Answers

Answer 1

Answer:

The statements that are true about the graph of the function are

The function in vertex form is f(x) = (x - 4)^2 - 11.
The y-intercept of the function is (0,5).
The function crosses the x-axis twice

Vertex and intercept of a function

The standard equation of a function in vertex form is expreseed as:

a(x-h)^2 + k

Given the quadaratic function f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5

f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11

Find the y-intercept.

This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5

Hence the y-intercept of the function is at (0, 5)

Since the quadratic function has a leading degree of 2, hence the function crosses the x-axis twice

Learn more on vertex and intercepts here: brainly.com/question/12778829

Answer 2

Answer:

Answer:

A, D, E

Step-by-step explanation:

Related Questions

Determine the domain and range of the given function. The domain is . The range is
In nathan's baseball card collection, 58% of the cards are players from the national league. he has 702 baseball cards. about how many baseball cards are playears from the national league?
Which statements are correct interpretations of this graph?Choose exactly two answers that are correct.A.There are 2 g of dietary fiber in every 3 tomatoes.B.There are 3 g of dietary fiber in every 2 tomatoes.C.There are 1.5 g of dietary fiber per tomato.D.There are 0.7 g of dietary fiber per tomato.
Over two summers, Ray saved $900 and $500. The polynomial 900x2 + 500x represents his savings at the beginning of the third year, where x is the growth factor. (The interest rate r is x - 1.) What is the interest rate he needs to start the third year with $1600 in savings? A. 0.1% B. 1.1% C. 8.4% D. 264%
Solve the following inequality for Y.5(y+6)+2y 9A)y>9B)y -9D)y<-9I give 47 points

Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $95. The perm costs twice as much as her haircut and she needs $5 for lunch. How much does the perm cost?

Answers

so perm cost 2 times as hair cut
perm=2 times haircut
she also needs 5 dollars for lunch

so therefor if 95 is enough to cover it we do
cost=lunch+perm+haircut
cost=5+perm+haircut
subsitute
95=5+2 times haircut+1 time haircut
add like terms
95=5 +3 times haircut
subtract 5 from both sides
90=3 times haircut
diide by 3
30=haircut
subsitute
perm=2 times haircut=2 times 30=60

perm=$60

The zeros of the function f(x)=(x+2)^2 - 25 are?

Answers

Zeros of the function
f(x) = (x + 2)² - 25
f(x) = (x + 2)(x + 2) - 25
f(x) = x(x + 2) + 2(x + 2) - 25
f(x) = x(x) + x(2) + 2(x) + 2(2) - 25
f(x) = x² + 2x + 2x + 4 - 25
f(x) = x² + 4x + 4 - 25
f(x) = x² + 4x - 21
x² + 4x - 21 = 0
x = -(4) +/- √((4)² - 4(1)(-21))
      2(1)
x = -4 +/- √(16 + 84)
   2
x = -4 +/- √(100)
   2
x = -4 +/- 10
2
x = -2 + 5
x = -2 + 5 x = -2 - 5
x = 3    x = -7
f(x) = x² + 4x - 21
f(3) = (3)² + 4(3) - 21
f(3) = 9 + 12 - 21
f(3) = 21 - 21
f(3) = 0
(x, f(x)) = (3, 0)
or
f(x) = x² + 4x - 21
f(-7) = (-7)² + 4(-7) - 21
f(-7) = 49 - 28 - 21
f(-7) = 21 - 21
f(-7) = 0
(x, f(x)) = (-7, 0)

Vertex
X - Intercept
-b/2a = -(4)/2(1) = -4/2 = -2

Y - Intercept
y = x² + 4x - 21
y = (-2)² + 4(-2) - 21
y = 4 - 8 - 21
y = -4 - 21
y = -25
(x, y) = (-2, -25)

y=x^2+4x+4-25
y=x^2+4x-21
y=(x+7)(x-3)
zeros are -7 and 3

Pls help it’s due at 9am and i need the work too

Answers

Answer for 1. 72

Answer for 2.536

Answer for 3.195

1. is 72
2. is 536
3. is 195
4. is 432
5. is 208
6. is 450
7. is 7.4
8.is 29.4
10.is 16.2

a population of insects doubles every month. If there are 100 insects to start with, how many will there be in 7 month

Answers

If at the end of every month the population dubbuls then at the end of 7 month there will be 12,800

month1)200

month2)400

month3) 800

month4) 1600

month5) 3200

month6) 6400

month7)12800

Final answer:

The population of insects is doubling each month. To figure out the population after 7 months, we can use the formula for exponential growth, 2^n, where n is the number of months. Using this formula, after 7 months, there will be 12,800 insects.

Explanation:

The population of insects is doubling each month, so the insect population is growing exponentially. To calculate the population after 7 months, you can use the formula for exponential growth, which is 2^n, where n is equal to the number of time periods, in this case, months.

After 1 month, the population is 100 * 2 = 200. After 2 months, the population is 200 * 2 = 400, and so on. After 7 months, we can calculate as follows:

100 * 2^7 = 100 * 128 = 12800 insects. So, after 7 months, there will be 12,800 insects if the population doubles each month.

Learn more about Exponential Growth here:

brainly.com/question/12490064

#SPJ3

How do you use a abacus in a simple way?

Answers

Each column is a digit, and the top two beads each represent 5 and the bottom 5 beads each represent 1. To read it, you add up the values of the "top" beads that are dropped down and the "bottom" beads that are raised up, and you read the number left to right.

1. There are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. The first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. The line plot shows the differences after 10 rerandomizations. Determine whether the difference in the means of the two groups is significant based on the line plot. Explain your answer.

Answers

the answer is attached below

Answer:

the difference in the means is not significant

Step-by-step explanation:

Let’s begin first by finding the difference between the means of the 2 groups.

Difference in means = 95% - 92% = 3% Now let’s look at the line plot of the 10 rerandomizations. On that plot, 4 of the randomizations have a difference of 3.

Probability of having a difference of 3 = 4 / 10 *100% = 40%

So just by mixing up the scores from both classes and finding the difference between the mean of 2 randomly defined groups, there was a difference of 3 between the 2 means in 40% of the trials.

Since this probability is so large, the difference in the means is not significant. The line plot shows that it would be very likely that the difference in the means is just due to random chance

Other Questions

Use substitution to solve thefollowing system of equations.-3x + 2y = 5 AND x = 2y - 3

enrollment in the ski/snowboard club increased by 30% this year. there are now 182 students in the club. how many students were there last year?

It's about proportion and stuff but I'm confused on this one can someone please explain?

What is the simplified expression for 5ab+9ab-ab?