100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE SHOW STEPS TO ALL PARTS
Use the function f(x) to answer the questions:

f(x) = 4x2 − 7x − 15

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answers

Answer 1

Answer:

Part A & B

Step-by-step explanatPart A:

f(x) = 4x ^ 2 - 7x - 15

0 = 4x ^ 2 - 7x - 15

a = 4, b = -7, c = -15

a x c = -60

-12 x 5 = -60

-12 + 5 = -7

(4x + 5)(4x - 12)

4x ^ 2 - 12x I + 5x - 15

4x(x - 3) + 5(x - 3)

(x - 3)(4x + 5)

x = 3 x = -1.25 or -5/4

Part B:

Minimum point

(x1 + x2)/2

(3 -1.25)/2 = 0.875

f(x) = 4x ^ 2 - 7x - 15

f(0.875) = 4(0.875) ^ 2 - 7(0.875) - 15

f(0.875) = 3.06 - 6.125 - 15

f(0.875) = -18.065ion:


Related Questions

find the slope of the line of best fit shown below.

Answers

The Answer is A, 1/2

A group of friends were working on a student film. They spent $476 on equipment, which was 85% of their total budget. What was the total budget for their student film?

Answers

By by by the answer is 560

The number 70 is decreased to 41. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:

Decreased percent = 41.4 % (Approx.)

Step-by-step explanation:

Given:

Old number = 70

New number = 41

Find:

Decreased percent

Computation:

Decreased number = 70 - 41

Decreased number = 29

Decreased percent = [29 / 70]100

Decreased percent  = 41.42%

Decreased percent = 41.4 % (Approx.)

I NEED HELP FOR ALL 4 OF THOSE! THAT’S IT! PLZZZZ AND TY

Answers

Answer:

Step-by-step explanation:

Given equation of a straight line is,

y = -4 - 2x

Domain of the line (x) → {-3, -2, -1, 0, 1}

Therefore, range for the given set of domain will be,

Range (y) → {2, 0, -2, -4, -6}

[By substituting the value of x in the given equation we get the value of y]

Set of scatter points are,

(-3, 2), (-2, 0), (-1, -2), (0, -4), (1, -6)

Now we plot these points to get the discrete graph as attached.

Eli made 2 peanut butter jelly sandwiches and cut each one into fourths. How many 1/4 sandwich pieces can Eli have?

Answers

She could have 8 pieces of 1/4 sandwiches

Which ordered pair describes the location of the point shown on the
coordinate system below?
10.
10
10
A. (3,-5)
B. (-5,3)
C. (3,5)
D. (-5, -3)

Answers

Your answer is A!

Step-by-step explanation:

Your answer is A!

The coordinate point from the given graph is (3, -5). Therefore, option A is the correct answer.

What is coordinate plane?

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

From the given coordinate plane, the coordinate point lies in fourth quadrant.

Where, x-coordinate is positive and y-coordinate is is negative.

The coordinate point correspond to x-axis is 3 and coordinate point correspond to y-axis is 5.

So, the coordinate point is (3, -5)

Therefore, option A is the correct answer.

Learn more about the coordinate plane here:

https://brainly.com/question/24134413.

#SPJ5

Dan took out a 24-year loan for $111,000 at an APR 0f 7.7%, compounded monthly, while Forrest took out a 24-year loan for $96,000 at an APR of 7.7%, compounded monthly. Who would save more by paying off his loan 13 years early?

Answer: Dan Would save more Since he has $15,000 more in principal.

Answers

Answer: he would save15,000

Step-by-step explanation:

What's the answer to 8m - 14=3m+46​

Answers

Answer:

Simplifying

8m + -14 = 3m + 46

Reorder the terms:

-14 + 8m = 3m + 46

Reorder the terms:

-14 + 8m = 46 + 3m

Solving

-14 + 8m = 46 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.

-14 + 8m + -3m = 46 + 3m + -3m

Combine like terms: 8m + -3m = 5m

-14 + 5m = 46 + 3m + -3m

Combine like terms: 3m + -3m = 0

-14 + 5m = 46 + 0

-14 + 5m = 46

Add '14' to each side of the equation.

-14 + 14 + 5m = 46 + 14

Combine like terms: -14 + 14 = 0

0 + 5m = 46 + 14

5m = 46 + 14

Combine like terms: 46 + 14 = 60

5m = 60

Divide each side by '5'.

m = 12

Simplifying

m = 12

Answer:

m = 12

Step-by-step explanation:

We want to isolate "m" on one side of equation to see what it is equal to.

Step 1.

Add 14 to both sides of the equation to get 8m = 3m + 60

Step 2.

Subtract 3m from both sides to get 5m = 60

Step 3.

Divide both sides by 5 to get m = 12.

A student wants to compare the mean times needed to access flight information for two major airlines. 20 randomly selected students accessed one airline's Web site, and the time required to locate the flight information had a mean of 2.5 minutes and a standard deviation of 0.8 minute. 20 different randomly selected students accessed the other airline's Website, and the time required to locate the flight information on that site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p-value is true?A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two WebsitesB. The p-value is greater than 0.01 but less than 0.05; therefore, there is a significant difference in mean search times on the two WebsitesC. The p-value is greater than 0.05 but less than 0.10; therefore, there is a significant difference in mean search times on the two WebsitesD. The p-value is greater than 0.10; therefore, there is no significant difference in mean search times on the two WebsitesE. Since this is a matched-pairs situation, additional information is needed to perform a test of significance.

Answers

Answer:

The statement which can be true about the p-value is;

A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Websites

Step-by-step explanation:

Whereby the p-value is less than the significance level or pre-defined number we reject the null hypothesis that there is no difference in the mean time it takes to access the Websites of the two major airlines

Where the p-value is larger than the significant level, we fail to reject the null hypothesis and therefore, there is not enough evidence to indicate that the mean time to access the Websites of the two major airlines are different

The p-value is compared with a given level for the test, for it to be assed

The option that has the correct inference based on only one significant level or predefined is the p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Websites

The statement which can be true about the p-value is (A).

A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Websites

What is the p-value?

The p-value in statistics is the likelihood of getting outcomes at least as severe as the observed results of a statistical hypothesis test, given the null hypothesis is valid.

The reason for option A is correct.

We reject the null hypothesis that there is no difference in the meantime it takes to visit the Websites of the two main airlines when the p-value is less than the significance level or pre-defined number.

We fail to reject the null hypothesis when the p-value is greater than the significant threshold

Hence there is insufficient evidence to suggest that the meantime to visit the websites of the two main airlines is different.

For the test to be assessed, the p-value is compared to a predefined level.

The p-value is less than 0.01 in the option that has the accurate inference based on only one significant level or predetermined; hence, there is a considerable difference in mean search times.

To learn more about the p-value refer to the link;

https://brainly.com/question/17257574

How could you add -13 + 10 ?
Pleaseeee help pleasee Thanks !!

Answers

Answer:

Choice A

Step-by-step explanation:

Answer:

A. Add 13 + 10, and keep the negative sign from - 13.

- 13 + 10

10 - 13 = - 3

Please help I need this ASAP please

Answers

Answer:

235 sq. cm

Step-by-step explanation:

Split into three different shapes

18*3=54

15*6=90

13*7=91

54+90+91=235

Shaan’s math homework scores for the semester are 90, 85, 98, 60, 84, and 78. Shaan’s teacher said she would drop the lowest homework score when calculating grades. How does the mean of Shaan’s actual math scores compare to the mean of the scores when the lowest one is dropped?
a
The final mean is the same as the original.
b
The relationship cannot be determined.
c
The final mean is lower than the original.
d
The final mean is higher than the original.
Help plez c:

Answers

Answer: D the final mean is higher than the original

Step-by-step explanation:

90+85+98+60+84+78/6= 82.5 as the original mean

dropping 60 which is the lowest grade means 90+85+98+84+78/5=87 which means the new mean is 87 which is greater than the original mean of 82.5

So the answer is D

can anyone help me with this question please?

Answers

Answer:

you didn't add a question

Step-by-step explanation:

S
What is the solution to this system of equations?
3x + y = 2
2 + 3y
-
--18
re
O (2,-6)
ware
O (3,-7)
(-6, 2)
aphing
O (-7,3)

Answers

Answer:

-7,3

Step-by-step explanation:

look at the pictire

10. Select all of the phrases that could be represented by the algebraic expression 2k - 4
a. The difference between number k and 4

b. 4 fewer than the product of 2 and a number k

c. The product of 2 and the quantity 4 and a number k

d. 4 less than 2 times a number k

Answers

i think the answer would be d

Select all the correct measurement conversions.
A. 8 pints = 16 fluid ounces
B. 5 feet = 60 inches
C. 2 tons = 4,000 pounds
D. 5 meters = 5,000 centimeters
E. 2 days = 2,880 minutes

Answers

it’s Going to BC because 5 m equals 5000 cm when you translate it

which function is equivalent to
f(x) = -4 (x+7)^2 - 6

Answers

Answer:

A

Step-by-step explanation:

-4(x^2+14x+49)-6

-4x^2-56x-196-6

-4x^2-56x-202

Answer:

F(x)=-4x^2 - 56x - 202

Step-by-step explanation:

Select no real solution, one real solution, or infinitely many real solutions for each of the following equations.
No Real Solution One Real Solution Infinitely Many Real Solutions
√x – 13=-4
2√x+10=8
2/x-1= 3/x+2

Answers

Answer:

one real solution

no real solution

one real solution

Step-by-step explanation:


Let f(x) = -x-1, h(x) = x-3/3
Find (f o h)(-1).

Answers

(f o h) = -(x - 3/3) - 1
(f o h) = (-x + 3)/3 - 1
(f o h)(1) = (-1 + 3)/3 - 1
(f o h)(1) = 2/3 - 1
(f o h)(1) = -1/3

Can someone answer this

Answers

Irk i 4?! H/Xavier gg y. Ggbjg 674. Hh

help please i need this in by midnight

A 12-ounce cup of coffee costs $2.88. If the unit price remains the
same, how much would 3 quarts of coffee cost?

Answers

It’s 24cents per ounce and 96 ounces in 3 quarts if u multiply.24 by 96 u get 23.04

So the price is $23.04

A right angled triangular prism has length 3m, breadth 2m and height 2.5m. If the mass of the prism is 3.4kg, find its density​

Answers

Answer:

The density of the prism is 0.453 kilograms per cubic meter.

Step-by-step explanation:

Let suppose that mass in the prism is uniformly distributed. Then, the definition of density ([tex]\rho[/tex]), in kilograms per cubic meter, is defined by the equation below:

[tex]\rho = \frac{m}{V}[/tex] (1)

Where:

[tex]m[/tex] - Mass, in kilograms.

[tex]V[/tex] - Volume of the right angle triangle prism, in cubic meters.

Besides, the volume of the right angle triangle prism is:

[tex]V = \frac{1}{2}\cdot b\cdot h\cdot l[/tex] (2)

Where:

[tex]b[/tex] - Breadth of the base, in meters.

[tex]h[/tex] - Height of the base, in meters.

[tex]l[/tex] - Length of the base, in meters.

If we know that [tex]b = 2\,m[/tex], [tex]h = 2.5\,m[/tex], [tex]l = 3\,m[/tex] and [tex]m = 3.4\,kg[/tex], then the density of the prism is:

[tex]V = 7.5\,m^{3}[/tex]

[tex]\rho = 0.453\,\frac{kg}{m^{3}}[/tex]

The density of the prism is 0.453 kilograms per cubic meter.

Find the area of each object. Round each answer to the nearest tenth, if necessary.

Answers

Answer The small triangles each have an area of 12m^2 and the big rectangle had an area of 80m^2. This would mean that the combined area is 104m^2

Step-by-step explanation: The rectangle shape can be found by multiplying 8 by 10 to get 80m^2. The two triangles can be found by multiplying 4 (half of 8) by 6 and then dividing it by two. This would mean that the small triangles each have an area of 12.

one more guys, can you guys help me?

Answers

Answer:

A

Step-by-step explanation:

X is less than -7 because the open circle indicates that x is not -7

1/3+ blank =3/4 plsssss help

Answers

Answer:

= 5 /1 2

Step-by-step explanation:

Wayne earns 7%
simple interest for 5
years on $3500. What
is the total amount in
the account?

Answers

Answer:

49

Step-by-step explanation:

3500 divided by 5 equals 700

700 times 7% equals 49

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 given that he or she is a root beer drinker.

A.) 5/17

B.) 6/17

C.) 15/17

D.) 2/5

Answers

Answer:

B) 6/17

Step-by-step explanation:

P( root beer AND over 40)/P(over 40)

30/(20+30+35)

30/85

6/17

help a gal out please​

Answers

Answer: negative, linear association

Step-by-step explanation:

Tickets for the CTA train cost $0.75 for students and $3.25 for
chaperones. If a school trip has a total of 50 people, how many students
and chaperones are on the trip? *

help i need this asap
HINT: Try graphing your equations or multiplying the cost equation by 4.

Answers

Missing the total payment information. Can not solve without total cost...

Find the volume of the cone.
Either enter an exact answer in terms of # or use 3.14 for and round your final answer to the nearest hundredth.

Answers

Answer:

v ≈ 78.54

Step-by-step explanation:

v = π [tex]r^{2}[/tex]  [tex]\frac{h}{3}[/tex]

so v ≈ 78.54

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