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:

A, D, E

Step-by-step explanation:

Answer 2

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  

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Related Questions

Figure ABCD is a parallelogram. Is triangle ADB congruent to triangle CBD? Show or explain your reasoning​

Answers

Answer:

yes it's congruent.

Step-by-step explanation:

in a parellelogram, all sides and angles are equal.

ΔADB is congruent to ΔCBD.

The reasoning is given below.

What is a parallelogram?

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

A parallelogram ABCD.

This means,

AD is parallel to BC

AB is parallel to CD

∠A = ∠C

BD is the diagonal of the parallelogram.

Now,

ΔADB and ΔCBD

AB = CD ( given )

∠A = ∠C (given )

∠ADB = ∠CBD ( given )

∠ABD = ∠BDC ( alternate angles )

ΔADB ≈ ΔCBD

Thus,

ΔADB is congruent to ΔCBD.

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Tell whether to give an order pair is a solution of the equation:

Y=2x+7; (-2,3)

Answers

Answer:

It does work.

Step-by-step explanation:

The scatterplot shows the monthly high temperatures for Austin, Texas, in degrees Fahrenheit over a 12-month period.
Monthly High Temperatures
in Austin, Texas
113
109
105
(do) amesadwal
101
..
97
93
.
89
85
1 2 3 4 5 6 7 8 9 10 11 12
Month
Which function best models the data from Month 1
Month 9
y = 1.6 + 111
2.5790

Answers

Answer: y=2.5x+90

Step-by-step explanation:

idk

Answer: y =2.5x+90

Step-by-step explanation:

The graph represents a person’s heart rate in beats per minute during 30 minutes of exercise.

A graph titled Cardiac Exercise. The horizontal axis shows time (minutes), numbered 3 to 30, and the vertical axis shows Heart Rate (b p m) numbered 15 to 150. The line starts at 75 b p m in 0 minutes, to 135 b p m from 6 to 25 minutes, and ends at 105 b p m at 30 minutes.

Which statement best describes the relationship between heart rate and time during exercise?

The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes.
The heart rate decreases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes.
The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes.
The heart rate remains constant for 6 minutes, increases for 19 minutes, and then gradually decreases for 5 minutes.

Answers

Answer:

The Answer is C: The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes. :)

Answer:

C. The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes.

Step-by-step explanation:

This is the correct answer on Edge 2021, just took the quiz.                           Hope this helps ^-^.

A bottle of water is 2/3 full. You drink 1/2 of the water. Use a model to find the portion of water that you drink.

Answers

Answer:

you drank 1/3 of the bottle

Step-by-step explanation:

split the 2/3 in half

Use the original price and the markdown to find the retail price.

Original price: $30; Markdown: 36%

The retail price is $_____

Please include work.

Answers

Answer:

83

Step-by-step explanation: you divide 30 and  36% and you will get 83 hope this helped

If <3=70°, then find the rest of the angles.
1.) m<1=
2.) m<2=
3.) m<4=
4.) m<5=
5.) m<6=
6.) m<7=

Answers

1. 110
2. 70
3. 110
4. 110
5. 70
6. 70

5. In which group are the spheres of the Earth listed in order of increasing density?

Answers

Answer:

whats density

Step-by-step explanation:

what is the y-intercept?

Answers

Answer:

the y intercept is -2

Step-by-step explanation:

If you look at the pattern of the y values, it's just adding one every time. so when x=o y=-2

The y-intercept is -2

What is the position of C on the number line below?
Write your answer as a fraction or mixed number.

Answers

Answer:

2/5

Step-by-step explanation:

there are 5 lines starting at point 1 and ending at 2. point c is on the second line which makes it 2/5ths

The position of C on the number line below is 7/5 or 1 2/5.

What is the number line?

The number line is a horizontal line where all the integers are placed at equal intervals. The number line is extended to infinity on both sides.

Also, the line segment between two integers also divided into subparts to represent the rational number.

here given in the number line there are two integers 1 and 2 in which point C is situated.

The line segment between 1 and 2 is divided into 5 parts.

every subpart in line segment between 1 and 2 will be= the length of the subpart / total number of division

= (2-1)/5= 1/5

C point is present at a distance of 2 subparts from integer 1.

So the position of C will be = 1+(2)(1/5)= 1+(2/5)= 7/5 or 1 2/5

Therefore The position of C on the number line below is 7/5 or 1 2/5.

Learn more about the number line

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PLEASE HELP ME ASAP

Answers

Answer:

A=126

B=54

C=126

D=54

E=126

F=54

G=126

Step-by-step explanation:

which equation has a solution of x = 4​

Answers

Answer:

There are no equations or no pictures

One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 80 calories from x grams of protein and y grams of fat. 80= 4x + 9y

If there are 6 grams of fat in the snack, how many grams of protein are there? Show your reasoning.

Answers

Answer:

6,5g of protein

Step-by-step explanation:

80=4x + 9y

y=6 ( "6 grams of fat")

so: 80=4x+9.6

80-54= 4x

26/4=x

x(protein)= 6,5

Answer:

  6.5 grams

Step-by-step explanation:

To find the value of x that corresponds to the given value of y, put that y-value into the equation and solve for x.

  80 = 4x +9·6

  26 = 4x

  26/4 = x = 6.5

There are 6.5 grams of protein in the snack.

Which square root would end as a rational number?

Answers

Answer:

it is all of them because

Step-by-step explanation:

the first on is 8.94..

2,15.81

3,2.44

4,13

they all are rational number

Can someone help me wit da question listed in da picture?

Answers

Answer:

Option C)

Step-by-step explanation:

When Solving these equations rember PEMDAS

Parentheses Exponits MultiplyDivideAddSubtract

Hope this helps, PEMDAS is just an easy way to show what to do first, second, Ect.

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the system ax-by=-16 and ax+2y=20 has one solution at the point (3,4). Find a and b. (a=4,b=7)

Answers

Answer:

Step-by-step explanation:

substitute (3,4) to equation: ax+2y=20

3a+8=20

a=4

Then, 4x-by=-16

substitute (3,4) to solve b,

4*3-b(4)=-16

b=7

What value of x will make the equation true? 1/4x - 5 = 2

Answers

Answer:

28

Step-by-step explanation:

Step 1:

1/4x - 5 = 2       Equation

Step 2:

1/4x = 7     Add 7 on both sides

Step 3:

x = 7 ÷ 1/4     Divide

Answer:

x = 28

Hope This Helps :)

Answer:

28

Step-by-step explanation:

Add 5 to each side, so it now looks like this: 1/4x = 7Divide each side by 1/4 to cancel out the 1/4 next to x. It should now look like this: x = 28

I hope this helps!

Students make 58.5 ounces of liquid soap for a craft fair. They put the soap in 4.5 ounce bottles and sell each bottle for $5.50. How much do the students earn if they sell all the bottles of liquid soap?

Answers

Step-by-step explanation:

first you want to divide the ounces of liquid soap we have by the ounce bottles we have (58.5 / 4.5 = 13 )

so now we know we have 13 bottles of liquid soap

then you want to multiply the 13 bottles of soap by how much they sell each bottle for ( 13 x 5.50 = 71.50 )

the answer: the students would earn $71.50 if they sell all the bottles of liquid soap

hope that helps :)

Based on the sample standard deviation value, the
temperature each day during this time period varied by
about ✓ from the
of 38.11°F. If the
next recorded temperature is 56°F, the standard
deviation would

Answers

Answer:

3.66, mean, and increase

Step-by-step explanation

Answer:

3.66, mean, and increase

Step-by-step explanation:

A runner crossed the finish line at the time shown on the clock. The runners time was 2 hours and 45 minutes. What time did the race begin? Helppp quick plzzzzz I rlly need to fast tho

Answers

Answer:

12.00

Step-by-step explanation:

9:15 + 2 hours and 45 minutes =

(9:15 + 2) + 45 +

11:15 + 45 = 12:00

Hope This Helps

<3

help real answers only please

Answers

Answer:

The three points are

(-2,1)

(-3,2)

(-4,3)

Step-by-step explanation:

These points solve the problem, you could have other points as well such as (-5,4), (-6,7) and so on

what is 2y-4x=-18 in slope intercept form

Answers

Answer: Y = 2x - 9

Step-by-step explanation:

You need to get y by itself, that would be adding, subtracting or dividing anything around it.

2y = -18 + 4x

Y = 2X - 9

Answer:

y=2x-9

Step-by-step explanation:

1) What is the inverse of the function y-2=3x?
2) What is the inverse of the function y=2x-3?

Answers

I think the answer would be =. Y=(x+5)/2

the product of x and three is negative -27. what is x

Answers

Answer:

-30

Step-by-step explanation:

it just is

Estimate 8% of 40 show your thinking

Answers

Answer:

3.2

Step-by-step explanation:

Simplify the expression.

Just divide the numbers.

Twelve years ago, Jaden was 13. How old is Jaden now? Write an equation.

Answers

Answer:

x-12=13

X=12+13

=25

Jaden is 25 yrs old

Answer:

x + 13 = 25

Step-by-step explanation:

Since Jaden was 13 12 years ago, you should know to make the equation x + 13 = 25. How I got 25? Well 13 plus 12 is 25.

LEVEL
Simplify the expressions (NOT equations!)
1.)
5(x + 5)
what’s the solution to 5(x+5)

Answers

Answer:

The simplified answer would be 5x + 25

Step-by-step explanation:

(5)(x+5)

(5)(x)+(5)(5)

=5x + 25

Kelsey wants to buy some new shirts at her favorite store. Each shirt costs $10 and she also wants to get a pair of shoes for $25.write an inequality. That she could use to figure out how many shirts she can buy if the most she can spend is $55 and solve

Answers

Answer:

10x + 25 less than or equal to (the sign) $55

Step-by-step explanation:

Answer:

The inequality is 10x + 25 [tex]\geq[/tex] 55

Step-by-step explanation:

This would be the possible inequality, because it says that "EACH" shirt costs 10$ meaning that Kelsey may buy multiple, which is why you would want to put 10x (for every shirt she buys they each cost 10 dollars) and PLUS she wants a pair of sneakers, so add 25 $

She has only 55$ to spend, so here MAXIMUM amount she can spend is 55$ which means, she can only buy whatever she wants for 55$ or lower.

At a basketball game, for every 2 baskets team A scored, team B scored 3 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is?

Answers

Answer:

2:3 2 to 3 or 2 over 3

Question 2 (20 points)
2
1
Joanna walked for 2 a mile on Tuesday. On Wednesday, she walked 5
miles. How far did she walk in all?
Blank 1:

Answers

The answer is:

7 miles

5+2=7
7 miles 2+5 equals 7
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