(08.05 MC)
The quadratic functions f(x) and g(x) are described as follows:
f(x) = -8x? +7
g(x)
0
0
1
2
2
6
3
2
4
0
Which of the following statements best compares the maximum value of the two functions?
The maximum value is the same for both functions.
Of(x) has a greater maximum value than g(x).
O g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.

Answers

Answer 1

Answer:

x=67

Step-by-step explanation:

Answer 2

The correct statement is,

(B) f(x) has a greater maximum value than g(x).

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function f (x) is,

f (x) = - 8x² + 7

Now, First, we determine the maximum point of f(x).

f(x) is at maximum at the point of symmetry, i.e. where x = - b/a

Here, a = -8, b = 0

Hence, x = - 0 / - 8 = 0

So, We get;

f (0) = - 8 x 0 + 7 = 7

Thus,

The maximum point of f(x) is (0,7)

And, The maximum point of g(x) is (2,6)

Therefore, f(x) has a greater maximum value than g(x).

Hence3, The correct option is B.

Learn more about the function visit:

https://brainly.com/question/11624077

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Related Questions

What is decimal and percent for 3/1000

Answers

Answer:

.003   .03%

Step-by-step explanation:

3/1000 ——-> 0.003
3/1000 ———> 0.3%

what is (h - 5)(h - 8)

Answers

Answer: h^2-13h+40

multiply h with both numbers on other side
h times h, h times -8

multiply -5 with both numbers on other side
-5 times h, -5 times -8

h^2-8h-5h+40
h^2-13h+40

Answer:

h^2-13h+40

Step-by-step explanation:

(h-5)(h-8)

h^2-5h-8h+40

h^2-13h+40

ill mark brainliest please help

Answers

Answer:

56 cups

Step-by-step explanation:

56 cups=3.5 gallons

what does 6 × 9 + 6 + 9 equal? :)

Answers

Answer =69

Explanation:
(6x9)+6+9
=54+6+9
=69

Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true
about both solutions. (2 points)
Equation 1 Equation 2
5x - 61 = -41 17x + 131 = 27
оа
Equation 1 has more solutions than equation 2.
Ob
Equation 1 and Equation 2 have the same number of solutions.
ос
Equation 2 has more solutions than Equation 1.
Od
The number of solutions cannot be determined.

Answers

Answer:

equation 2

Step-by-step explanation:

Amelia bought a violin that was on sale for 15% off. If the original price was
$220 what is the sale price? *
O $15
O $33
O $187
O $253

Answers

It’s 187 because 220-15%=187 gbbnbvvhjnn

GURRY FOR BRAINLEIST PLS HURRY

Answers

Answer:

C= 10.6

Step-by-step explanation:

AB^2=AC^2+CB^2

C^2=7^2+8^2

C^2= 113

√113=10.630


I need help with this

Answers

Answer:

its d

Step-by-step explanation:

the slope is -20 because for every 30 seconds the altitude gets smaller by 600 feet. 600/30=20 so its going down 20 feet per second.

pls help me with this?

Answers

Answer:

C. 3

Step-by-step explanation:

A^2+B^2=C^2

A^2+4^2=5^2

A^2+16=25

A^2=9

A=3

The length of a rectangle is 4 4 times the width. The area is 64 64 square centimeters. Find the length and width of the rectangle.

Answers

Answer:

Width of a rectangle = 4 cm

Length of a rectangle = 16 cm

Step-by-step explanation:

Let width of a rectangle be [tex]x[/tex] cm.

The length of a rectangle is 4 times the width.

Length of a rectangle [tex]=4x[/tex] cm

Area of rectangle [tex]=64[/tex] square centimeters.

Also,

Area of rectangle = length × breadth

[tex]64=4x(x)\\64=4x^2\\16=x^2[/tex]

± [tex]x=4[/tex]

Being a dimension, [tex]x[/tex] can not be negative.

So,

[tex]x=4[/tex] cm

Width of a rectangle = 4 cm

Length of a rectangle = 4(4) =16 cm

what is (p−5)−(4p−7)?

Answers

Answer:

the answer is − 3 + 2

If 20% of a number is 28 and 25% of the same number is 35, find 45% of that
number.

Answers

Answer: 63

Explanation: The sum of the two percentages is 45%. Thus the sum of the 28 and 35 (63) is equal to 45% of the number.

If you needed to check your work, you could work out the number to be 140 and simply multiply by 0.45.

amelia paid 360 for a watch after he had been allowed a discount 10% discount what was the marked price of the watch? and also put the formula​

Answers

Answer:

$396

Step-by-step explanation:

you would use this formula:

X(how much you paid) * %(whatever the discount is), then add whatever you get from this to X, and that will be how much it was originally marked for.  

What number is missing from this factor tree for the prime factorization of 456?
Please and thank you

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

In this question, the steps are not defined, that's why its solution can be defined as follows:

Given value:

The prime factorization of 456:

[tex]\to 456= 2 \times 2 \times 2 \times3 \times 19[/tex]

Answer:

19

took same test

I need help.... ......................

Answers

7/5 good luck:)))))(

Answer:

7/5

Step-by-step explanation:

The distance between these two points is the slope. Move up 7 and over 5 to get to the next point.

Please Please Please Help me with this math problem

Answers

Answer:

y=10(3/4)^x

10 and 3/4

Step-by-step explanation:

Can I get an answer to these? I feel asleep during a zoom class and I didn't hear what he said and now I'm confused.

Answers

Can’t rlly see the 2nd and 3rd pic

HELPPPP PLSSS IM FAILING MATHHH

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

if you see where the red line ends on the right side it is at 170 on the protractor

are 3:6 and 6:3 equivalent?​

Answers

Answer:

No

Step-by-step explanation:

3:6 is a ratio saying for every 3, there's 6, or just convert them into fractions, like 3:6 is 3/6 and 6:3 is 6/3,

so is 3/6 = 6/3, no so they aren't equivalent

Someone plz help meeee

Answers

Step-by-step explanation:

b and c

...................

Answer:

B.) 20.020

C.) 20.02

D.) 20.2

Step-by-step explanation:

2 x 10 = 20

2 x 1/100 + 20 = 20_1/50

20 x 50 + 1 = 1001

1001/50 = 20.02

or

20.2 (the 0 does not need to be there because the answer is the same  without it.)

or

20.020 (the last 0 does not need to be there because the answer is the same without it.)

Calculate the vapor pressure (in torr) of a solution containing 0.2 moles of solute dissolved in 10 moles of water at 25°C. Vapor pressure of pure water at 25°C is 23.8 torr. Enter text here Enter 2021 Acellus Corporation. All Rights Reserved. C​

Answers

Answer:

the vapor pressure of a solution at 25°C that contains 76.6 g of glucose (180.2 g/mole) in 250.0 mL of water. The vapor pressure of pure water at 25°C

Step-by-step explanation:

your answer is:  22.9 torr at 25°C

Explanation:

When a non volatile solute is added to a pure solvent, the vapour pressure of the mixture decrease regard to the pure solvent following the equation

Where vapour pressure of the pure solvent (Water) is 23.8torr at 25°C.

Mole fraction of water is the ratio between moles of water and total moles in solution. The solution has a mole fraction of water of:

Replacing in Raoult's law:

Vapor pressure of the solution is 22.9 torr at 25°C

hope this helps!


1. Which of the following descriptive statistics is
LEAST affected by extreme values?
A. Mean
B. Median
C. Standard deviation
D. Range

Answers

Median, because it will still just be the number in the middle.

Find the number that makes the ratio equivalent to 2:9. 6:​

Answers

27 !!! Bc 2x3=6 and then 9x3=27

Find the surface area of the prism.

Answers

Before I answer , is it any answer choices ? If so , what are they ?

Find the inverse of the matrix (if it exists). (If the answer does not exist, enter DNE in any cell of the matrix.)

Answers

Answer:

[tex]\begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix}[/tex]

Step-by-step explanation:

[tex]\begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}[/tex]

This is the formula we will use. Accordingly:

[tex]=>\frac{1}{\det \begin{pmatrix}-15&28\\ 8&-15\end{pmatrix}}\begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix}[/tex]

det represents the determinant

if the determinant is 0 then only the inverse matrix will not exist. So let's find the determinant.

[tex]\det = \left(-15\right)\left(-15\right)-28\cdot \:8\\ = 1[/tex]

Now we multiply the following matrix by 1/1:

[tex]\frac{1}{1}\begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix} = \begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix}[/tex]

A classroom with an area of 500 square feet has room for 30 students. A classroom with an area of 1,500 square feet has room for 80 students.

A. Write the relationship of students to square feet, for the smaller classroom, as a ratio and as a fraction in its simplest terms.
B. Write the relationship of students to square feet, for the larger classroom, as a ratio and as a fraction in its simplest terms.
C. The original ratios of students to square feet in the two classrooms are not equal. How many students can the larger classroom hold to make its ratio of students to square feet equal to that of the smaller classroom?

Answers

Answer:

17ft, 1 student

Step-by-step explanation:

Malke knows that 10% of an unknown number is 12, and she wants to find that unknown number

Answers

Answer:

120

Step-by-step explanation:

12x10=120

To get a percentage you normally divide, and the opposite of division is multiplication so that's how we got the whole number.

1. 36.19 to the nearest tenths

Answers

Answer:

36.2

Step-by-step explanation:

Answer:

36.20

Step-by-step explanation:

it's basiclaly another word for 1 decimal place. 9 is bigger than 5 so it rounds 1 to 2.

Help me cuz yah gurl gotta test UwU

Answers

Answer:

got u

Step-by-step explanation:

Which of the following is the midpoint of segment
AB
given that
A(−5,12) and B(3,−8)

Answers

Answer:

(-1, 2)

Step-by-step explanation:

Finding the midpoint of a line, having been given two points, is like finding the average coordinate of those two points.

To find the average x coodinate (and hence the midpoint's x coordinate), you have to sum the x coordinates and divide by 2 - like finding the mean.

To find the y coordinate, sum the y coordinates and divide by two.

[tex](x,y) = (\frac{-5+3}{2} , \frac{12+-8}{2} )[/tex]

Answer:

Step-by-step explanation:

(12 - 8)/2 = 4/2 = 2

(-5 + 3)/2 = -2/2= -1

(-1, 2) midpoint

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