Use the function f(x) = 5x^2 + 2x − 3 to answer the questions.
Part A: Completely factor f(x).
Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Part C: Describe the end behavior of the graph of f(x). Explain.
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.

Answers

Answer 1

A) (5x-3)(x+1)

B) [tex]\frac{-2 \pm \sqrt{4+60}}{10} = \frac35 \text{or} -1[/tex]

C) it gets up really high

D) Plug values in of x to get y and plot!


Related Questions

4.2 is 25% of what number

Answers

Answer:

16.8

Step-by-step explanation:

If 4.2 is 25% of a number:

25% x 4 = 100%

4.2 x 4 = 16.8

The quantities x and y are proportional.
pls help plsssss this work is due 20 min plsss helppp

Answers

Answer: 2.5

Step-by-step explanation:

y = rx

substitute numbers in and solve for r

if

y = 10

x = 4

then

10 = r4

r = 10/4 = 2.5

this works for all the other numbers and always gives r = 2.5


The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
, and bags of cookies cost $4
, and sales equaled $40
in total. There were 3 more bags of cookies than candy sold.
Find the number of bags of candy and cookies sold by the football club.

Answers

Answer:

Candy=x=2.8 bags

Cookies=3+2.8=5.8 bags

Step-by-step explanation:

Price

Bag of candy=$6.00

Bag of cookies=$4

Total sales=$40

Quantity

Let cookies=y=3+x

Let candy=x

There are 3 more bag of cookies than candy sold

Total sales=price*quantity of x + price*quantity of y

40=$4*(3+x) + 6*x

40=12+4x+6x

40=12+10x

40-12=10x

28=10x

X=28/10

x=2.8 bags

find four rational numbers between 2/3 and 3/4​

Answers

Answer:

17/24

Step-by-step explanation:

(a+b)÷2

a= 2÷3

b= 3÷4

=(2/3 + 3/4)÷2

=(8+9/12)÷2

=17/24

Mr. Greene bought some pens at the school supply store, including 15 blue pens. 60% of all the pens he bought were blue.

How many pens did Mr. Greene buy in all?

Answers

Answer:

Mr. Greene bought 25 pens in all.


Step by Step Explanation:

25/5=5

5=20%

15=60%

25=100%

Solve: 2 ln 3 = ln(x - 4) x = 9 x = 10 x = 13

Answers

Solve:  2 ln 3 = ln(x - 4)

a)x = 9

b)x = 10    

c)x = 13

Answer:

x = 13

Step-by-step explanation:

To solve the problem above, we will follow the steps below;

2 ln 3 = ln(x - 4)

[using logarithm rule  aInb =  Inbᵃ]

so also our equation becomes

In 3² = In (x-4)

The In at the left-hand side of the equation will cancel-out the In at the right-hand side of the equation

Our equation becomes;

3² = x- 4

9 = x-4

add 4 to both-side of the equation in other to make x subject of the equation

9 + 4 = x-4 + 4

13 = x

x = 13

Answer:

C on Edge x = 13 x =  

-4  and x =  4

the solution is x =  4

Step-by-step explanation:

I just did the assignment on edge.

What is the sum of the series?
10
Σ(7k– 2)
k=1

Answers

Answer:

365

Step-by-step explanation:

The simplest method is to substitute values of k = 1 to 10 into the expression and sum the terms, that is

7(1) - 2 + 7(2) - 2 + 7(3) - 2 + 7(4) - 2 + 7(5) - 2 + 7(6) - 2 + 7(7) - 2 + 7(8) - 2 + 7(9) - 2 + 7(10) - 2

= 5 + 12 + 19 + 26 + 33 + 40 + 47 + 54 + 61 + 68

= 365

Examine these figures. Triangle A B C. Angle C is 108 degrees and angle B is 34 degrees. 2 lines extend from a horizontal line to form angles with measures 38 degrees, 108 degrees, and labeled 2. Choose the statement that is not true based on these diagrams. 38° + m∠2 + 108° = 180° m∠A + 108° + 34° = 180° m∠A = m∠2 m∠2 = 34°

Answers

Answer:Choose the statement that is not true based on these diagrams. answer= m∠A = m∠2

The statement that is not true based on these diagrams will be;

⇒ m ∠A = m∠2

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In Triangle ABC,

⇒ Angle C is 108 degrees and angle B is 34 degrees.

Now,

Since, In Triangle ABC,

⇒ Angle C is 108 degrees and angle B is 34 degrees.

Hence, We get;

⇒ m ∠A + m ∠B + m ∠C = 180°

Substitute all the values, we get;

⇒ m ∠A + 34° + 108° = 180°

⇒ m ∠A + 142° = 180°

⇒ m ∠A = 180° - 142°

⇒ m ∠A = 38°

Thus, The incorrect statement is,

⇒ m ∠A = m∠2

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

Joshua is using a garden hose to fill a swimming pool with water. The graph below shows
the amount of water in the pool over time. Use the drop-down menus to explain the slope of
the graph.



For the first option the numbers are 90,10,5,18,2

Answers

Answer:

minutes needed to add each gallon of water in the pool

Step-by-step explanation:

The X-axis is the time and the Y-axis is the gallons. Y is the one being influenced by X. So, the amount of gallons in the pool is being influenced by the amount of time.

Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in?
The paint will fill the tray exactly
The paint will overfill the tray by 5 22 in?

Answers

Answer:

Aliane is bruh......................

Step-by-step explanation:

A bullet exits the barrel of a gun at 625 m/s. How long does it take to
hit a target that is 2.0 km away?

Answers

Answer: 3.2 seconds

Step-by-step explanation:

Time = Distance / speed

= 2000 / 625

= 3.2 seconds

Probability question, which I am stuck on!

The probabilities of landing on 1, on 2, on 4, on 5 or on 6 when rolling a biased dice are shown in the table.
*Table In Attachment*

The biased dice is rolled 300 times.
Estimate the total number of times the dice will land on 3 or on 4.

I would like to know what a biased dice is too!

Answers

Answer:

land on 3: 36 times

land on 4: 63 times

Step-by-step explanation:

A biased dice is the opposite of a fair dice.

A fair dice has the same probability of landing any of the six numbers: 1/6

The biased dice has different probabilities for its results.

To solve this question, first we need to find the probability of landing a 3.

The sum of all probabilities need to be 1, so:

0.13 + 0.05 + p(3) + 0.21 + 0.19 + 0.3 = 1

p(3) = 1 - 0.88 = 0.12

If we roll the dice 300 times, the expected number of times the dice will land:

on 3: 300 * p(3) = 300 * 0.12 = 36 times

on 4: 300 * p(4) = 300 * 0.21 = 63 times

Answer:

99

Step-by-step explanation:

3=0.12

3 =0.12×300=36

4 =0.21×300=63

63+36= 99

Solve the equation using the Quadratic Formula: *

x2 – 3x + 3 = 5x + 1

Answers

Answer:

please mark brainly

Step-by-step explanation:

Answer:

Exact form : x = 4 ± √14

Decimal form : x 7.74165738..., 0.25834261...

                     

Step-by-step explanation:

I hope this helps you out. ☺

Fill in the table below by naming each prism and identifying the number of faces, vertices, and edges for each one of them.

Answers

Answer:

Step-by-step explanation:

A prism is a solid figure and geometric in nature having the shape of its ends parallel to each other and its sides are parallelograms. Each prism are classifies based on the shape of its ends that are parallel to each other.

The name of the prism given in question according to their arrangement from left  to right are triangular prism, trapezoidal prism, pentagonal prism and hexagonal prism.

Triangular prism is made up of 5 faces, 6 vertices  and 9 edges

The trapezoidal prism is made up of 6 faces, 8 vertices  and 12 edges

The pentagonal prism is made up of 7 faces, 10 vertices  and 15 edges

The hexagonal prism is made up of 8 faces, 12 vertices  and 18 edges

Ten Points For First To Answer Correctly

34 of your books are fiction. 23 of those are historical fiction.

What fraction of your books is historical fiction?

A. 3/12

B. 1/12

C. 5/7

D. 1/2


Answers

Answer:

23/34

Step-by-step explanation:

This is guessing you only have fiction books.

if -2 is a root of the equation 3x2 +7x + p = 0, find the values of k for which the roots of the equation x2 + k(4x + k - 1) + p = 0 are equal.

Answers

Answer:

first 0ne

Step-by-step explanation:


1. Water is filling a bathtub at a rate of 7 gallons per minute. Complete the table of equivalent
ratios for the first 5 minutes of the bathtub filling up.

Answers

Answer:

amount of water: 7, 14, 21, 28, 35

time : 1,2,3,4,5


A number c minus 3.4 is less than 14. Write this word sentence as an inequality.

An inequality is _____

Answers

Answer:

c-3.4<14

Step-by-step explanation:

We translate the words into an inequality. A number, C, minus 3.4 is less than 14.

c-3.4<14

One student says -5 is bigger than -4 and uses money as the analogy: “If I owe $5, I have a bigger debt than if I owe $4.” What is wrong with this argument?

Answers

Answer:

This is a bad argument because when talking about negative numbers, the closer the numbers are to 0, the bigger they are. -4 is closer to 0 than -5, so -4 is the bigger number.

Step-by-step explanation:

Answer:

-5 is not larger than -4.

Step-by-step explanation:

Think of a number line. The absolute value of -5 is 5, meaning -5 is 5 away from 0 to the left. On the other hand, -4's absolute value is 4, meaning -4 is 4 away from 0 to the left. In the money scenario, owing $5 is a bigger debt because the absolute value is larger, not the number itself. Hope this helps!!

Divide the following quantiles in the given ratio £100 1:3 £80 3:5 £250 2:3:5

Answers

Answer:

Step-by-step explanation:

a.

£100

1:3

1+3=4

1/4×£100

=£25

3/4×£100

=£75

b.

£80

3:5

3+5=8

3/8×£80

=£30

5/8×£80

=£50

C.

£250

2:3:5

2+3+5=10

2/10×£250

=£50

3/10×£250

=£75

5/10×£250

=£125

Two times a number is equal to the absolute value of the quantity "sixty-three less than five times that number." What could the number be?

Answers

Answer:

The number is 21.

Step-by-step explanation:

First you need to solve for n.

So the equation would be 2n = |5n-63|

First you'd subtract 5n from each side, that would give you -3n=|-63|

Then you need to divide each side by -3 to get n=21.

                       ~~~~~

To check, you can just plug 21 back into the equation.

2(21) = |5(21) - 63|

42 = |105-63|

42 = |42|

42 = 42

please help me out, and find the volume i don’t know how to do this, if you can please explain how to do it as well

Answers

ur gonna do : lxbxh

so :

8x5x7

the answer is 280 yd cubed

WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK)

Answers

Answer: $47.83

Step-by-step explanation: Let's turn the percentage into a decimal, move the decimal two times to the right...

6% ⇒ 0.06

0.06 * $50.88 = $3.05

$50.88 - $3.05 = $47.83

Remember x = price before tax...

x = $47.83

Chantelle takes out a loan of $3,500 with an APR of 4.25%. She will repay the loan in monthly payments for 6 months. To find the total amount of interest she will pay, Chantelle uses an online calculator. What are the correct numbers she should enter?

Answers

Answer:

P = 3,500   r = 0.0425    n = 12    t = 0.5

Step-by-step explanation:

P is the principal amount, which in this case is $3,500, or the start amount.

r is the interest rate, which is 4.25%. Change 4.5% to decimal form and it will be 0.0425.

n is the number of times the loan is repaid, or 12.

t is the time. In this case, the loan will be for 6 months, or half a year. Remember that variable t is always in term of years. In decimal form, half a year is 0.5.

Veronica wants to check her work after evaluating -108 -(-6). What steps can she follow to verify her answer

Answers

1. Distribute the - into the -6 to get a positive 6.
2. Add -108 + 6 together
3. Get -102 as your answer!

Hope this helps :)

Answer:

Its C

Step-by-step explanation:

Pizza is often circular shape and size of the pizza is the length of diameter with included crust. A 16 inch pizza is one with a 16 inch diameter. What is the area of a 16 inch pizza?

Answers

Answer:

≈201 in²

Step-by-step explanation:

Area= π×r²= π×d²/4Area of 16 in pizza= π×16²/4= 3.14× 256/4 ≈201 in²

Answer:

201 in²

Step-by-step explanation:

Hope this helps! :)

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.

Answers

Answer:

3 hours

Step-by-step explanation:

3/4 + 3(3/4) =4*(3/4) = 3

The largest colored pencil drawing ever documented is 500 yards long. How many feet is that? Show or explain your reasoning.

Answers

Answer:

1500 ft

Step-by-step explanation:

1 yd=3 ft

500 yd*3 ft/yd=1500 ft

Answer:

1500 ft

Step-by-step explanation:

Multiply 500 yds by the conversion factor derived from 1 yd = 3 ft:

500 yd      3 ft

----------- * ----------- = 1500 ft

     1           1 yd

Given the speeds of each runner below, determine who runs the fastest.
Adam runs 9 feet per second.
Noah runs 164 feet in 14 seconds.
Jake runs 1 mile in 412 seconds.
Katie runs 845 feet in 1 minute.

Answers

Answer:

Katie

Step-by-step explanation:

lets convert all the speeds to ft/1 sec

V adam: 9ft/sec

V noah: 164ft/14sec

164/14=11.7142857143= around 11.7 ft/sec

V jake: 1 mile/412 sec

1 mile= 5280 ft

5280 ft/412 sec=

5280/412=12.8155339806= around 12.8 ft/sec

V katie: 845ft/min

minute=60 sec

845ft/60sec=

845/60=14.0833333333= around 14.1 ft/sec

now lets order the velocities(speeds) from least to greatest:

V adam: 9ft/sec, V noah: 11.7 ft/sec, V jake: 12.8 ft/sec, V katie: 14.1 ft/sec

thus, Katie is the fastest runner

y > -1/3x -1 as a graph

Answers

Step-by-step explanation:

Is this the graph you needed??

The dots are the shaded region

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