the graph of y=f(x) is shown. a. estimate the turning point of the graph

The Graph Of Y=f(x) Is Shown. A. Estimate The Turning Point Of The Graph

Answers

Answer 1

Answer:

a) The location of the turning point is approximately [tex]V(x,y) = (-0.25, -2,1)[/tex].

b) Roots are approximately [tex]x_{1} \approx -1.3[/tex] and [tex]x_{2} \approx 0.8[/tex].

c) [tex]f(1.5) \approx 4[/tex]

Step-by-step explanation:

a) The figure presents the graphic of a parabola, that is, a second order polynomial, with an absolute minimum (vertex). The turning point of the graphic, that is, the point in which behavior of the curve changes, is the vertex. Hence, the location of the turning point is approximately [tex]V(x,y) = (-0.25, -2,1)[/tex]

b) According to the Quadratic Formula, second-order polynomials can have either two real roots or two conjugated complex roots. In this case, we have two real roots. A root corresponds with the point of the curve that passes through x-axis. In this case, roots are approximately [tex]x_{1} \approx -1.3[/tex] and [tex]x_{2} \approx 0.8[/tex].

c) [tex]f(1.5)[/tex] is the function evaluated at [tex]x = 1.5[/tex], that is, the value on y-axis associated with [tex]x = 1.5[/tex]. Lastly, we conclude that [tex]f(1.5) \approx 4[/tex].


Related Questions

Is x2(2x+1) fully factored?

Answers

no it is not fully factored

Find each product. Use patterns
9x101 =
9 x 102 =
9 x 103
9 x 104
9 10
9x102
9 x 103
9 x 104

Answers

9x101= 909
9x102=918
9x103=927
9x104=936

Complete the statements below
1)25% of the results from November show a flow of water greater than....m^3/s.
2)Both the lower quartiles and medians were the same in the months of.......

Answers

Answer:

c) (i) 33

Step-by-step explanation:

In the top view of the square gem below, TW is the
midsegment of trapezoid SUVX.
Given that UV=10 and SX=6, find TW.
If necessary, round to one decimal place.
V
S
R

Answers

7/v s r so I believe

order from greatest to least 12, -4, 8, -3, 0

Answers

-4,-3,0,8,12 that’s is th order from least to greatest

The graph shows an image of dilation about the origin with a scale factor of 1/2

Answers

I had this before and I think is was A.

Answer:

Step-by-step explanation:

It's a

0.00002004 and 0.01203000 in scientific notation

Answers

Answer:

Below...

Step-by-step explanation:

Scientific Notation:

2.004 × 10-5

Scientific Notation:

1.203 × 10-2

In a game, Erin is rolling a fair number cube with faces numbered 1 to 6. Which BEST describes the probability of rolling an even number?
A. impossible
B. equal to the probability of rolling an odd number
C. less likely than the probability of rolling an odd number
D. more likely than the probability of rolling and odd number

Answers

B because there is 3 odd numbers and 3 even number 1,3,5 are odd and 2,4,6 or even


The measure of an exterior angle of a triangle is 40°. What is the sum of the measures of the corresponding remote interior angles?

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Answer:

Remember that the two non-adjacent interior angles, which are opposite the exterior angle are sometimes referred to as remote interior angles. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees

Which statement is true

Answers

they're equal. the 4th one, i believe,


Make D the subject of s=d/t


Answers

Answer:

speed = distance/time

Step-by-step explanation:

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This is find the slope but I don’t get it. Whoever answers these two will be marked brainliest please help me I need these done and it’s currently 3 AM

Answers

Answer:

m=-2/5

Step-by-step explanation:

Slope is rise over run. In this graph the slope is negative because rise (change in the Y value) is decreasing.

simplify fully - check picture​

Answers

Answer:

e/f

Step-by-step explanation:

cut out the same variables

Step-by-step explanation:

e×f/f×f

I hope this helps leave a heart

Factor x3 - 8x2 - 4x + 32 completely.​

Answers

Answer + explanation

x^3 -8x^2 -4x +32

answer= (x - 8)(x + 2)(x - 2)

tony and luke share some money in the ratio 3:7. luke recives £20 more than tony , how much do they receive.

Answers

Answer:

$ 30. okkkkkkkpkkpkkkpkdodjei

Jamal ordered 4 pizzas. how many slices of pizza did Jamal order if each slice is 1/8 of a pizza? Please, Model!!!

Answers

Answer:

32 slices

Step-by-step explanation:

as each slice is 1/8 of pizza, there are 8 slice on each pizza

as such 4 pizzas will have 4*8=32

Ms. Neeson wants to share $1 equally among 7 students. What fraction of a dollar will each student get?

Answers

Answer:

1/7

Step-by-step explanation:

$1, 7 students

simply put 1 over 7 and you've got your fraction.

each student will get 1/7 of a dollar

Working together, two ants named Aran and Beatrice can build an ant hill in 10 hours. Aran and Charlie can build the ant hill in 12 hours. Beatrice and Charlie can build the ant hill in 15 hours. How long, in hours, will it take to build the ant hill if Aran, Beatrice, and Charlie work together?

Answers

Here we have a problem of rates of work, we want to know how long will take the 3 ants to build an ant hill if they work together.

We will find that working together, they need to work for 8 hours.

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

Let's start by defining the variables that we will use:

A = rate at which Aran worksB = rate at which Beatrice works.C = rate at which Charlie works.

Now let's see the given information:

"Aran and Beatrice can build an ant hill in 10 hours"

This can be written as:

(A + B)*10 h = 1 ant hill

"Aran and Charlie can build the ant hill in 12 hours"

This can be written as:

(A + C)*12 h = 1 ant hill

"Beatrice and Charlie can build the ant hill in 15 hours"

This can be written as:

(B + C)*15 h = 1 ant hill.

Then we have 3 equations:

[tex](A + B)*10 h = 1[/tex]

[tex](A + C)*12 h = 1[/tex]

[tex](B + C)*15 h = 1[/tex]

Where for commodity, I removed the "ant hill" unit.

Now we need to solve this system of equations, to do it, we need to isolate one variable in one of the equations and then replace it on another equation.

I will isolate A in the first equation:

[tex]A = \frac{1}{10h} - B[/tex]

Now we can replace it in the second equation to get:

[tex](\frac{1}{10h} - B + C)*12h = 1[/tex]

Now we can isolate C in the last equation to get:

[tex]C = \frac{1}{15h} - B[/tex]

Replacing that in the above equation we get:

[tex](\frac{1}{10h} - B + \frac{1}{15h} - B)*12h = 1\\\\\frac{1}{6h} - \frac{1}{12h}= 2*B\\\\\frac{1}{2}*\frac{1}{12h} = \frac{1}{24h} = B[/tex]

This means that Beatrice alone would construct the hill in 24 hours.

Now that we know the value of B, we can use:

[tex]C = \frac{1}{15h} - B = \frac{1}{15h} - \frac{1}{24h} = \frac{1}{40h}[/tex]

This means that Charlie needs 40 hours to finish the hill alone.

Finally, we can use [tex]A = \frac{1}{10h} - B[/tex] to find the value of A:

[tex]A = \frac{1}{10h} - B = \frac{1}{10h} - \frac{1}{24h} = \frac{7}{120h}[/tex]

Now if the 3 ants work together, the total rate at which they work is:

[tex](A + B + C) = (\frac{7}{120h} + \frac{1}{40h} + \frac{1}{24h} ) = 0.125 h^{-1}[/tex]

This means that they need to work for the inverse of that rate

[tex]\frac{1}{0.125h^{-1}} = 8h[/tex]

Working together, they need to work for 8 hours to complete an ant hill

If you want to learn more, you can read:

https://brainly.com/question/12895249

Which terms in the expression 9d2+15d3+11c2+7 have 14c2 as a like term?

Answers

That would be the term 11c2 because like 14c2, 11c2 has a constant, a variable and raised to the power of 2.

George says that an account that an account that earns 4% interest compounded annally and an account that earns 2% interest compounded semi-annually will be worth the same if the principals are the same. Analyze whether George's satement is accurate and explain which (if any) option is better. Explain how you got your answer. Use numbers and calcuations to provide evidence for your response. Answer in complete sentences.

Answers

They begging to thay 4% they take out 2% and also begging in on off they getting back to where begging

1:Kevin Williams earns a weekly wage of $870. During the most recent week, he worked 47 hours. Gross Pay = $ 2:Charles Joyner earns a biweekly wage of $2,400. During the most recent week, he worked 42 hours. Gross Pay = $ 3:Julio Valdez earns an annual salary of $63,000. During the most recent week, he worked 42 hours. Gross Pay = $ 4:Bridget Stein earns a monthly salary of $7,300. During the most recent week, she worked 58 hours. Gross Pay = $ 5:Betsy Cranston earns a semimonthly salary of $2,100. During the most recent week, she worked 50 hours. Gross Pay = $

Answers

Answer:

Step-by-step explanation:

Bill baked 16 cookies with 2 scoops of flour. With 4 scoops of flour, how many cookies can Bill bake? Assume the relationship is directly proportional.

Answers

Answer:

Let c = the number of cookies

cookies/scoops of flour: 12/2 = c/3

Cross multiply.

2c = 36

c = 18 cookies

Step-by-step explanation:

Answer:

32 cookies.

Step-by-step explanation:

Find how much cookies Bill can bake with just 1 scoop of flour:

2 scoops of flour = 16 cookies

1 scoop of flour = 16 ÷ 2 = 8 cookies

Now, find 4 scoops of flour.

4 scoops of flour = 8 x 4 = 32 cookies

Write the equation 9 = -5x + 4 in the form ax + b = c, where c = 9. What are the values of a and b? I'll give brainliest

Answers

Answer:

[tex] - 5 \times - 1 = 5[/tex]

[tex]5 + 4 = 9[/tex]

Step-by-step explanation:

Therefore

[tex]a = - 5 \times - 1 = 5[/tex]

[tex]b = 4[/tex]

So 5+4=9

Answer:

69

Step-by-step explanation:

:)

Jennifer buys a 2-liter bottle of apple juice and a 3-liter bottle of orange juice at the market. How many deciliters of juice does jennifer buy in call

Answers

Answer:

50 deciliters

Step-by-step explanation:

Given that,

Jennifer buys a 2-liter bottle of apple juice and a 3-liter bottle of orange juice at the market.

Total = 2 L bottle of apple juice + 3 L bottle of orange juice

= 5 L

We need to find how many deciliters of juice does Jennifer buy in all.

Since, 1 L = 10 Deciliter

5 L = 50 Deciliter

So, she will buy 50 deciliters of juice.

Will give brainlist! The area of a swimming pool covers 350 square feet if the height of the pool if 5 feet what is the volume.

Answers

Volume = 350 square feet * 5 feet = 1750 cubic feet

$35 bill before tax
tax:5.8%
Tip:21%

Answers

Answer:

If tip goes only on amount but not on tax: $44.38

If tip goes on total including tax: $44.81

Step-by-step explanation:

If the tip is applied to the price before tax, then we need to add 5.8% and 21% of $35 to $35.

tax + tip = 5.8% + 21% = 26.8%

100% + 26.8% = 126.8% = 1.268

1.268 * $35 = $44.38

If the tip is applied to the price plus tax, then we calculate the amount including tax first, then we add the 21% tip based on that price.

Bill before tax: $35

Add 5.8% tax: 1.058 * $35 = $37.03

Add tip to the amount including tax: 1.21 * $37.03 = $44.81

Three-quarters of a number is 15.
Work out four-fifths of the number.

Answers

Answer:

16

Step-by-step explanation:

let the number be x , then

[tex]\frac{3}{4}[/tex] x = 15 ( multiply both sides by 4 to clear the fraction )

3x = 60 ( divide both sides by 3 )

x = 20 , then

[tex]\frac{4}{5}[/tex] × 20 = 4 × 4 = 16

Answer:

16

Step-by-step explanation:

let the number be x , then

\frac{3}{4} x = 15 ( multiply both sides by 4 to clear the fraction )

3x = 60 ( divide both sides by 3 )

x = 20 , then

\frac{4}{5} × 20 = 4 × 4 = 16

1) 2/7×1/2
2) 5/8×4/5
3) 1/6×2/3
4) 1/3×3/4
5) 1/2×2/3
6) 1/3×2/5​

Answers

1) 1/7
2) 1/2
3) 1/9
4) 1/4
5) 1/3
6) 2/15
hope this helped:)

2.
X
6
6
What fraction will make the equation above true?
4
A.
1
B
2.
1
4
6

Answers

Answer:

What the english?

Step-by-step explanation:

bdhznrbzjdnxhenaFjskrnx

The dimensions of a right rectangular prism are 0.25 m, 0.36 m, and 0.14 m. What is the volume of the prism use the V = 1 x w x h

Answers

I only need point :(
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