(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.

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Related Questions

At 10 AM, one share of Starbucks stock was $35. By 2 PM the price was $41. The rate the Starbucks stock value was changing is - per hour

Answers

Answer:

1.50$

Step-by-step explanation:

difference in money amount: $6

difference in hours: 4

6 divided by 4 equals 1.50.

1.50 times 4 equals 6, hence its 1.50 per hour.

The rate of change in the Starbucks stock value is 150%.

Given that, At 10 AM, one share of Starbucks stock was $35. By 2 PM the price was $41.

We need to find the rate the Starbucks stock value was changing is - per hour.

What is the rate of change?

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Now, the difference in money=41-35=$6

The number of hours between 10 AM to 2 PM is 4 hours.

The rate of change = The difference in money/Number of hours × 100

=6/4 × 100

=150%

Therefore, the rate of change in the Starbucks stock value is 150%.

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What is the equation, in point-slope form, of the line passing through the point (8, -3) with a slope of 5?

Answers

The answer would be ~y+3=5(x-8)~

Hope this helps

Have a great day/night

Please help me, Please real answers only thanks

Answers

Answer:

A.

Step-by-step explanation:

substitution of coordinates

Which expression is equivalent to 6(-7k - 2) + 6k?
-12k - 36
-K - 12
-36k - 2
-36k - 12

Answers

Answer:

-36k - 12 that is the answer

Please help solve the problem below.

Answers

Answer:

1. x = 2

2. x = 5

3. x = 8

4. x = 28

5. x = 13

6. x = 11

7. x = 0

8. x = 72

9. x = 6

10. x = 38

Step-by-step explanation:

hope that helps!

1. subtract 6 on both sides

2. add 3 on both sides

3. divide both sides by 2

4. multiply both sides by 2

5. add 8 on both sides

6. subtract 9 on both sides

7. add 5 on both sides

8. multiply both sides by 6

9. divide both sides by 4

10. add 18 on both sides

Round to the nearest thousand. 6,159​

Answers

Answer:

6,000

Step-by-step explanation:

To round to the nearest thousand, you keep the digit in the thousands and round up or down, clearing all other smaller units.  You round up when the next largest digit, in this case, the hundreds, is 5 or larger.  Meanwhile, you round down when it is 4 or smaller.  Here it is 1, so you round down to 6,000.  If it was 5 or larger, you would round up to 7,000.

6,000

To round a number we look at the number that is right of the one we are rounding. If the number to the left is 4 or under, you round down. If it's 5 or above, you round up.

Hope it helps! Good luck!! :D

NEEEED HELP!!!!!!!!!

Answers

Answer:

1/3 is your awnser also what ur name in prodigy ill play with u im level 100

Step-by-step explanation:

Answer:

[tex] \frac{2}{5} + \: x = \frac{11}{15} [/tex]

5.3=15

2.3=6

[tex] \frac{6}{15} + \frac{5}{15} [/tex]

Let f(x) = -x + 3
Find f(2)

f(3)=

Answers

Answer:

1

Step-by-step explanation:

f(2) = -2+3

=1

please help me on this will give you brainliest!!

Answers

36!!
18/2= 9
45/5= 9
9 x 4 = 36

Answer:

AC = 36

Step-by-step explanation:

since these triangles are similar, we can use the triangle similitary theorem. This means that the sides are proportional to each other.

ef/bc = 5/45 (1/9) = ed/ba =  2/18 (1/9)

we can see the sides are in a ratio of 1:9, and plug it in the proportion

df/ac = 1/9

4/ac = 1/9

cross multiply and we get that ac = 36

Please pleaseeee help!
Im so lost this is the last question i have and I’ve been working on it forever. Even asked my mom and she had no idea! Helpp please!!

Answers

Answer:

Remember that the roots are the values of the variable when the expression equals 0.

a: 4 + 3 = 7 and 4*3 = 12 so we have (x + 3)(x + 4) with roots -3, -4

b: -4 + -2 = -6 and -4*-2=8 so we have (t-2)(t-4) with roots 2, 4

c: 2*-4 + 6 = -2 and -4*6=24 so we have (2n+6)(n-4) with roots -3, 4

d: -7+-4 = -11 and -7*-4=28 so we have (y-4)(y-7) with roots 4, 7

Solve the system 2x + 3y = 6 2x - 5y = 22

Answers

Answer:

In point form (6,-2) and Equation form: x = 6, y= -2

Step-by-step explanation:

Arkadaşlar yardım edin EN İYİ SEÇERİM​

Answers

Answer:

seviye 2

a=3 b=3

c=5 d= -1

seviye 3

a x=5 b x=15

c x=15 d x=9

What is the radius and diameter of the following circle?

Answers

Answer:

radius is 11cm diameter is 22cm

Step-by-step explanation:

Answer:

Radius: 11

Diameter: 22

Step-by-step explanation:

The radius is the 11 being shown, the diameter is 2 times the radius.

Hope this helps!

Find the area of a circle whose area equals the half of the sum of the areas of two circles with radil 2 and 3.
13 (pi)
5 (pi)
6.5 (pi)

Answers

Step-by-step explanation:

step 1. if r = 2, then its area = (pi)r^2 = (pi)(4) = 4pi

step 2. if r = 3 then its area = (pi)r^2 = (pi)(9) = 9pi

step 3. so A is the area of a circle half the sum of our circles with r = 2 and r = 3.

step 4. A = (4pi + 9pi)/2 = 13pi/2 =6.5(pi).

14. AMKL is an isosceles triangle with MK ML.If MK = 7x - 15, KL = 4x - 6, and ML = 10X - 12, find x and the measure of each side.​

Answers

Answer:

You can do it! Sorry i can't help because your on a different level. Try your best!

Step-by-step explanation:

factorise x^12 y^4 - x^4 y^12

PLEASE PLEASE explain in step by step Pleasseeeeee​

Answers

Answer:

Step-by-step explanation:

First, look at your terms. You have two terms and two variables in each. So they can be factored out because you can distribute them back in easily.

Focus one variable first, x. You cant factor an x^12 out of an x^4. You can, but you really don't want to, it'll turn your problem into a mess. So the only thing you can do is factor out the lower exponent, x^4.

[tex]x^4(x^8y^4-y^1^2)[/tex]

We arent done yet because the terms still share the y variable. You cant factor a y^12 from a y^4. This is the same problem with the x variable. So take out the lower one, y^4.

[tex]x^4y^4(x^8-y^8)[/tex]

20 is what. % more than 5

Answers

Answer:

400%

Step-by-step explanation:

20 divided by 5 = 4

100 times 4 = 400

What is the length of segment AB?

Answers

Answer:

Option 1

Step-by-step explanation:

Use Pythagorean theorem,

AB² = base² + altitude²

      = 7² + 6²

     = 49 + 36

     = 85

AB =√85

Answer:

option a.

6²+7²=ab²(by Pythagoras theorem)

36+49=ab²

85=ab²

square root 85=ab

Find the solution
4y-x=5+2y
3x+7y=24

Answers

Answer:

24

Step-by-step explanation:

A cylindrical water container has a diameter of 4cm and a height of 36mm. what is the total surface area of the water container in cm?

No wrong answers else I will report it, if correct I will mark you as a brainlister & follow you.

Answers

Answer:

477.52cm^2

Step-by-step explanation:

Brainliest or I will report you

what is the simplest from of this expression? (-3x^2 + 4x) + (2x^2 - x -11)
A. -x^2 + 3x + 11
B. -x^2 + 5x - 11
C. -x^2 + 5x + 11
D. -x^2 + 3x - 11​

Answers

Answer:

D

Step-by-step explanation:

Graph
How to put -31/2 , 21/2 on a graph

Answers

3/1 and put on graph

i need help with this geometry assignment please.

Answers

Answer:

172.8 is the area of the parallelogram

The graph shows the number of points, y, a player earns in a balloon game
based on the number of balloons popped, X.

Answers

y = 25x
Slope is rise over run or (y2-y1)/(x2-x1)
(25-0)/(1-0)=25
No b value in y=mx+b because the origin is at 0.

Is this right? Plz check

Answers

Yesss, I’m almost certain. Hope you get it correct

Write an equation in slope-intercept form that represents the situation:

Bill started with 15 pairs of shoes. On average, Bill buys 7 new pairs of shoes every 2 months.

Answers

Answer:

         y = 3.5x + 15

Step-by-step explanation:

Number of months is x, and number of pairs of shoes after each month is y.

7 new pairs of shoes every 2 months means that after each month:

y = 7/2 x

We need to add the 15 pairs from start.

y = 3.5x + 15

Asap, need help. Thanks if your going to help me! Please explain the steps!​

Answers

Answers:

Person A receives at least 800 dollars, but no more than 1600 dollarsPerson B receives at least 1000 dollars, but no more than 2000 dollars

=============================================================

Explanation:

We don't have enough information to nail down exact figures, but we can make a range estimate.

The two people (call them A and B) share the profits in the ratio of 4 to 5

In shorthand notation, we can say the ratio is 4:5

This means person A gets 4x dollars while person B gets 5x dollars

The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.

The total profit is therefore 4x+5x = 9x dollars

This expression 9x is between 1800 and 3600 dollars, including both endpoints

We then can say...

[tex]1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400[/tex]

We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.

The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.

-------------------------

To summarize:

Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).

The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.

-------------------------

Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.

i need help on this
i will give Brainliyest if u answer this Corretly (lie = report)

Answers

Answer:B

Step-by-step explanation:

If rectangle LMNO were rotated 180° clockwise about the origin to create rectangle L'M'N'O', what would the measure of angle O' be?

Answers

9514 1404 393

Answer:

  90°

Step-by-step explanation:

Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.

_____

Additional comment

No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.

The value of w and what mistake was made

Answers

Answer:

w=95

Step-by-step explanation:

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