What is the relative maximum and minimum of the function? f(x) = 2x2 + 28x - 8

Answers

Answer 1

There is a minimum because the a is positive so that means the graph is upwards, the minimum would be -106!
i hope this helps

Answer 2

Answer:

Minimum: y=-106. Maximum: infinite

Step-by-step explanation:

The function described is a parabola, written in the form:

[tex]f(x)=ax^2 +bx+c[/tex]

with:

[tex]a=2\\b=28\\c=-8[/tex]

First of all, we notice that the parabola is upward, because the sign of the coefficient of the second-order term (a) is positive (in fact, a=2). Therefore, it has a minimum value of y. The x corresponding to the vertex of the parabola is given by:

[tex]x_v=-\frac{b}{2a}=-\frac{28}{2\cdot 2}=-7[/tex]

And substituting into f(x), we find the minimum value of y:

[tex]f(-7)=2(-7)^2+28(-7)-8=98-196-8=-106[/tex]

While the parabola has no maximum value, since it goes to infinite as x becomes larger.

Related Questions

Use pictures or words to explain what shapes can be put together to make a hexagon shape.

Answers

Triangles are the easiest shape to make a hexagon out of. You can do this by lining up 6 triangles where each base of the triangle lines up.

What is the factored form of 8x2 + 12x?

4(4x2 + 8x)

4x(2x + 3)

8x(x + 4)
8x(x2 + 4)

Answers

b, 4x(2x2 + 3x)
divide both sides by 4 and you will get 2x2 + 3x to be the most factored form

Answer:

The required factorized form of the given quadratic equation is :

4x·(2x + 3)

Step-by-step explanation:

The quadratic equation is given to be :

8x² + 12x

Now, we need to find the factored for of the given quadratic equation.

⇒ 8x² + 12x

Taking 4 common from both the terms

⇒ 4(2x² +3x)

Now, Taking x common from both the terms which are inside the bracket

⇒ 4x·(2x + 3)

⇒ Now, This equation cannot be factorized further

Hence, The required factorized form of the given quadratic equation is :

4x·(2x + 3)

The ability to roll your tongue is inherited genetically from parents if either parent has the dominant trait T. Children of two parents without the trait will not be able to roll their tongues. Part A: Show how the combinations can be modeled by the square of the sum. Part B: Predict the percent of children that will both have dominant genes, one dominant gene, and both recessive genes

Answers

a. If a person has the genetic combination Tt. Then, half of his/her genes are the dominant trait T and the other half are the recessive trait t. So, his/her genes can be represented by 0.5T + 0.5t. If both parents have the genetic combination Tt, then the outcomes for their children can be modeled by the sum of the square: b. There are four total outcomes. For children to have two dominant genes, they would have TT, which is a 25% probability. For children to have one dominant gene, they would have Tt, which is a 50% probability. For children to have two recessive genes, they would have tt, which is a 25% probability.

what is 3x-2y=-3 on a graph

Answers

Answer:

MY ANSWER IS ON THE PHOTO OR DOWNLOAD LINK

PLEASE MARK ME AS BRAINLIEST

Step-by-step explanation:

Assessment items Item 10 Find the missing values in the ratio table. Then write the equivalent ratios. Towels 14 7 Blankets 8 16 Equivalent ratios are 14: , 7: , and :

Answers

The ratios are 14:16, 7:8, and one more equivalent one is 3.5:4.
They all equal the fraction 7/8. Hope this helps!

please help. i will give brainliest. please just give it a try ur geuss is as good as mine

Answers

My guess is the bottom right.

My best guess would be

c) Triple each side,[tex]b[/tex] , of the base triangle while keeping the slant height, [tex]l[/tex], the same.

Hope this helped!

Which calculation will give the total surface area of the solid figure? These are the answers that you can choose from.
5 × 6 × 6 square inches
6 × 5 × 5 square inches
6 × 5 × 5 × 5 square inches
5 × 6 × 6 × 6 square inches

Answers

6x5x5 square inches because there are 6 squares and the formula is 5x5

find the circumference of a circle with diameter 8 meters

Answers

The answer is going to 25.13

The formula is:
C = (pi) x diameter
Therefore:
C = (3.14) x 8
So the answer is:
C = 25.12
Hope this helps.

The perimeter of a triangle is 51 cm.The length of its sides are conservative odd integers. Find the length of all three sides.

Answers

The middle of 3 consecutive odd integers that add to 51 will be 51/3 = 17.

The side lengths are 15 cm, 17 cm, 19 cm.

harry can water 2 1/4 acres of cornfields in 1 day. How many acres of cornfields can he water in 3 2/3 days

Answers

First, you would divide 2 1/4 by 1. After you have gotten the total, multiply that times 3 2/3.

8 1/4 acres of cornfields.

Bc, 2 1/4 times 3 2/3 equals 8 1/4

m/18=24/15
how do I do this problem?

Answers

m/18 = 24/15
15m = 18 * 24
15m = 432
m = 28.8

Consider the statement below. More than 20 students participated in a drawing competition. Which number line best represents the statement?

Answers

A because the circle is open when it is more than or less than and it is shaded when it is less than or equal to or greater than or equal to. Hope this helped!

Answer:

The number line that best represents this statement is:

Option: A

Step-by-step explanation:

We are given a statement that:

More than 20 students participated in a drawing competition.

This means that when this statement is represented on the number line the region that is covered is:

(20,∞)

Since the more than 20 students means that 20 is not included and all the numbers greater than 20 are included.

Also, on the number line the shaded region lie to the right of 20 and there is a open circle at 20 as 20 is not included in the domain.

Hence, option: A is the correct answer.

Help please ASAP giving out brainliest

Answers

For the left you’re rising 6 & running -2. For the right your rising -6 & running 2.

Can anyone help me please solving this maths problems not sure if. Thanks

Answers

The reason you can only compare the numerators is because the denominators are the same- leaving little comparison to really make. The numerators will determine which fraction is greater or smaller.

Ex. 4/5 or 3/5

which is greater? Which is smaller?

It can be seen that the denominators are the same, now finally comparing the numerators will answer both questions.

please vote my answer brainliest. thanks!

How to find the area of a circle if given the circumstance

Answers

A=1/((4)(3.14))*C^2
Use the formula above... C=Cir

17 students on math team want to raise $483.62 to buy books. They already have raised $218.25.If each student raised the same amount , how much more money must each student raise?

Answers

That answer you are looking for would be $15.61
i hope this helped you with the answer!

If f(x)=3x^2-4 and g(x)=x+2, find (f-g)(x)

Answers

3x^2 - 4 - ( x + 2)= 3x^2 - 4 - x - 2

3x^2 - x - 6 is the answer which is c

Find the range of 88, 16, 34, 48 and 27

Answers

Hi Lea.

The range is the difference between the largest number and the smallest number. Our largest number is 88, and our smallest number is 16. To find the range, we need to subtract 16 from 88.

88 - 16 = 72

72 is your range.

I hope this helps!

the range is 72. hope this helps! (subtract the lowest number from the highest number in the set)

Evan and Sam were playing basketball. Evan made 2/3 of his shots. Sam made 2/4 of his shots. Who made more shots? Explain

Answers

Hello,

The answer is "Evan 2/3".

Reason:

2 2
_>
3 4

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

If 3A and 3B, then which of the following statements is not true?

Answers

I need more information i can't answer it if you just say 3A and 3B.

what is the scale factor if point A(2,22) transforms into A(2,11)? what type of transformation is this?

Answers

The simplest description is that it is a vertical expansion by a factor of 11/22 = 1/2.

A car travels 444 km in 7 hours (with a constant speed).How far can it travel in 5 hours (with the same speed)?

Answers

first divide to find the unit rate to find out how far they travel in one hour. then multiply the unit rate with the hours to get the miles traveled

Final answer:

The car can travel 317.15 km in 5 hours given its speed remains constant at 63.43 km/h which is calculated based on the 444 km it travels in 7 hours.

Explanation:

To solve this problem, we need to calculate the rate of speed of the car first. The speed of the car is found by dividing the total distance by the time.
So, the speed will be 444 km / 7 hours = 63.43 km/h.

With this constant speed, we can determine how far the car could travel in 5 hours by multiplying the speed by the time:
Thus, the distance it can travel in 5 hours is 63.43 km/h * 5 h = 317.15 km.

Learn more about Distance calculation here:

https://brainly.com/question/34212393

#SPJ2

to make the perfect pizza, there should be 4 pieces of pepperoni per 3 slices of mushrooms. if you put 24 pieces of pepperoni on the pizza how many mushroom slices should you use?

Answers

You should use 18 slices of pepperoni

A way to know this is true is because 18/3=6

24\4=6

So that means that the pizza would have 6 slices!!

Which expression represents the product of 3 and (5/4 n + 1.8)

Answers

the value of your question is 6

The correct expression is:

[tex]\[ \text{C) } 3.75n + 5.4 \][/tex]

To find the product of 3 and [tex]$ \left(\frac{5}{4}n + 1.8\right) $[/tex] , we multiply 3 by each term inside the parentheses:

[tex]\[ 3 \times \frac{5}{4}n = \frac{15}{4}n \][/tex]

[tex]\[ 3 \times 1.8 = 5.4 \][/tex]

Now, combine the two results:

[tex]\[ \frac{15}{4}n + 5.4 \][/tex]

To express this in a more common form, we can rewrite [tex]$ \frac{15}{4} $[/tex] as 3.75:

[tex]\[ 3.75n + 5.4 \][/tex]

So, the correct expression is:

[tex]\[ \text{C) } 3.75n + 5.4 \][/tex]

Complete correct question:

Which expression represents the product of 3 and (5/4n + 1.8)?

A) 5.55n

B) 9.15n

C) 3.75n + 1.8

D) 3.75n + 5.4.

A flagpole flying the Ohio state flag is 9/10 the height of a 30 foot-tall

Answers

The flag pole flying the Ohio state flag would be 27 feet tall. you just take 30, divide it by 10 and then multiply it by 9.

Find the value of X.
A. 4 square root of 3
B. 8 square root of 3
C. 8
D. 16

I feel like it may be C but my gut says ask for some help.

Answers

Answer:
Choice B) 8*sqrt(3)

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

Explanation:

First we need to find y
It turns out we can set up the proportion
4/y = y/12
since the two inner smaller triangles are similar triangles

Solve for y by cross multiplying
4/y = y/12
4*12 = y*y
48 = y^2
y^2 = 48
y = sqrt(48)

Now use this y value to find x
Use the pythagorean theorem. Focus on the smaller triangle on the right side
a^2 + b^2 = c^2
y^2 + 12^2 = x^2
(sqrt(48))^2 + 12^2 = x^2
48 + 144 = x^2
192 = x^2
x^2 = 192
x = sqrt(192)
x = sqrt(64*3)
x = sqrt(64)*sqrt(3)
x = 8*sqrt(3)

So that's why the answer is choice B

An isosceles trapezoid has base angles of 45 degrees and bases of length 9 and 15. The area of the trapezoid is

Answers

The trick here is to find the height.
The difference between the two base lengths is 15 - 9 = 6
There is a 3 inch difference between the end of the shortest base and the end of the longest base at each end of the shortest base. You are going to have to read that sentence a couple of times.
Because the base angles are 45°, the height = the 3 inch difference between the ends of the 2 bases.

L1 = 9
L2 = 15
h = 3
Area = (L1 + L2)*h/2
Area = (9 + 15) * 3 /2
Area = (24) * 3/2
Area = 72/2
Area = 36 <<<< answer

Urgent help please. 30 points

The final game is altered:

Bag One has 5 red balls and 9 blue balls.
Bag Two has 6 red balls and 7 blue balls.

Complete the tree diagram:

Answers

Answer:

A. 7/13 B. 9 C. 13 D. 7/13 E. 5/14 F. 6/13 G. Red

Step-by-step explanation:

First we take a ball from bag one, there are 14 balls, 5 red, 9 blue, then, there is 5/14 for red and 9/14 for blue.

Then we take a ball from the second bag and we have 13 balls: 7blue and 6 red, so the posibilities are 7/13 for blue and 6/13 for red.

As it doesn't says anything about mixing balls of both bags, it does not matter the result of the first bag for the probabilities in the second one.

The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n.

smallest value is-
largest value is-

Answers

Answer:

11 > n > 4

Step-by-step explanation:

Given any two sides of a triangle, we now that the sum of such sides MUST be greater than the measure of the remaining side. This is, given the three sides a, b and c, it must be that:

a + b > c

a + c > b

b + c > a

For our case:

7 + 4 > n (1) ---> 11>n

7 + n > 4 (2)

4 + n > 7 (3)

The 1 inequality says that the n side MUST be less than 11.

Now, pick the (3) inequality and subtract 4 in both sides:

4 + n -4 > 7 - 4

n > 3

So, the n side must be grater than 3.

Thus, the solution is:

11 > n > 3

As we are working with integers we now that the grater integer larger than 3 is 4, and the greater integer less than 11 is 10. So, the side must be equal or greater to 4 and equal or less than 10:

10 >= n >= 4

write the expression 7b - 3(b - 1) in simplest form

Answers

7b - 3(b-1)
7b - 3b - 3(-1) ... distributive property
7b - 3b + 3
(7b - 3b) + 3
(7 - 3)b + 3
4b + 3

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

Answer: 4b + 3

Use exactly whats shown

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