Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−2x3. If there is more than one x-intercept, separate them with commas.

Answers

Answer 1

Answer:

Step-by-step explanation:

Your equation makes no sense.

I will ASSUME you mean

y = -x² - 2x + 3

which can be factored

y = (x + 3)(-x + 1)

x intercepts occur when y = 0

0 = (x + 3)(-x + 1)

which means either

x + 3 = 0

x = -3

or

-x + 1 = 0

x = 1

x intercepts are (-3, 0) and (1, 0)

The vertex will occur halfway between these point

x = (-3 + 1) / 2 = -1

so vertex = y = -(-1)² - 2(-1) + 3 = 4

(-1, 4)


Related Questions

PLS HELP!!!!! What are the zeros of polynomial function [tex]F(x) = x^4 - 10x^2 + 16[/tex]

Answers

Answer:

(-√8, 0), (-√2, 0), (√2, 0), (√8, 0)

Step-by-step explanation:

If $3000 grows to $3540 after 3 yr, find the simple interest rate

Answers

Answer:

R = 6%

Step-by-step explanation:

We know that

SI = A - P

SI = 3540 - 3000

SI = $540

R = 100 × SI/P × T

R = 100 × 540/3000 × 3

R = 54/9

R = 6%

S O L U T I O N:

Here we've been provided with the information i.e

Amount (A) = 3540

Principal amount (P) = 3000

Time period (T) = 3 years

And we are asked to calculate simple interest rate (R) = ?

The standard formula to calculate is given by,

[tex]:\Rrightarrow\sf{S.I. = A - P}[/tex]

[tex]:\Rrightarrow\sf{S.I. =3540 - 3000}[/tex]

[tex]:\Rrightarrow\sf{S.I. =540}[/tex]

[tex]:\Rrightarrow\sf{R = 100 \times \frac{S.I.}{P} \times t}[/tex]

[tex]:\Rrightarrow\sf{R = 100 \times \frac{540}{3000} \times 3}[/tex]

[tex]:\Rrightarrow\sf{R = \frac{54}{9} }[/tex]

[tex]:\Rrightarrow\sf{R = 6\%}[/tex]

The simple interest is 6%.

Enter the number that belongs in the green box

Answers

Answer:

8

Step-by-step explanation:

8

I’ll mark you brainless if you give me the answer

Answers

Answer:

x=8

Step-by-step explanation:

Never crosses the y-axis so x equals 8

...................hyufgr54ed3w4ewfsa67grftgvb hj

Answers

Answer:

yes

Step-by-step explanation:

if f(x)=3^x+10 and g(x)=2x-4, find (f+g)(x)

Answers

Answer:

4

Step-by-step explanation:

Pls help pls Pls pls pls thanks
Factor of 20 but not 10
2. Neither factors of 10 and 20?

Answers

Answer:

Step-by-step explanation:

NEED NOW PLEASE..........

Answers

Answer:

The answer is 6 feet below the surface of the water.

Step-by-step explanation:

So the fish started out as 12m below the surface then went 3m down. If you add 12m and 3m you'll 15m, then minus with a 9m to came up with 6m. But the fish is still below surface, which gives you the answer of " 6 feet below the surface"

Hopes this helped you :)

Rewrite the expression without parentheses.
13m−​(−9m−4​)

Answers

Answer:

22m+4

Step-by-step explanation:

Let's break it down:

13m+-1(-9m-4)

13m+(9m+4)

22m+4

Answer:

22m+4

Step-by-step explanation:

Help help help help math math

Answers

Since the two lines are parallel the interior angles,
Angle 53 and angle 5, are supplementary angles therefore
53 + 5 = 180
5 = 127

in Emma's supply box a pencil weighs 3ounces.her scissors weigh 3 ounces more than the pencil and a bottle of glue weigh three times as the scissors how much those the bottle of the glue weigh in pounds and ounces.​

Answers

Answer:

18 Ounces which is equal to 1 pound and 2 ounces

Step-by-step explanation:

pencil weighs 3 ounces

scissors weighs =pencil+3 ounces =6 ounces

bottle of glue=3*scissors which is equal to 18 Ounces simple 16 ounces = 1 pound

Thanks

Sally was standing 30 feet from a tree.The angle of elevation from her eyes(standing 4 feet above the ground) to the top of the tree was 38. How tall is the tree? Round your answer to the nearest foot

Answers

Answer:

27ft-long

Step-by-step explanation:

good luck!!!

What is nx25=5x60 and how did you get the answer?

Answers

Hey there!

n * 25 = 5 * 60

25n = 5 * 60

25n = 300

DIVIDE 25 to BOTH SIDES

25n/25 = 300/25

CANCEL out: 25/25 because it gives you 1

KEEP: 300/25 because it helps solve for the n-value

NEW EQUATION: n = 300/25

SIMPLIFY IT!

n = 12

Therefore, your answer is: n = 12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Find an angle betwwen 0 and 2pie that is coterminal with -19pie/10

Answers

Answer:

π/10

Step-by-step explanation:

α=-19π/10=-19π/10+2π=(-19π+20π)/10=π/10

(f+g)(x)
f(x)= x-3, g(x)= 2x+8

Answers

Answer: 13x4+g

Step-by-step explanation:

Writing
Tammy bought some books. She spent a total of $45 after a discount of S6 off of her total purchase. Each book cost $3. How many books did she buy?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 45, 6, and 3. Let b represent the number of books.
X
5
o 16+ = 0
(b) Solve the equation in part (a) to find the number of books.
b = 0

Answers

Answer:

b=17

Step-by-step explanation:

b=(45+6)/3

b=51/3

b=17

she bought 17 books since the original price of evereything was 51 dollars before the discount of 6 dollars.

Functions fg and hare shown on the graph. Y 10- 8 6 h 4- 2- x 10 -6 -4 - 2 2. 4 6 8 -10 -8 10 2- 4 -6 00 8- -10 Which of these functions have a domain of all real numbers? ОА. function fonly OB. functions f, g, and h oc functions fand gonly . OD functions g and h only​

Answers

the answer is b. functions f,g and h

All the function graphed have domain of all real numbers.

What is Function?

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

The domain of a function is defined by the graph's x-values (input values).

Similarly, Range is defined by the set of y-values (output values) in the function's graph.

Now, From the graph attached,

Domain of function 'f' : {x | x ∈ R}

Domain of function 'g' : {x | x ∈ R}

Domain of function 'h' : {x | x ∈ R}

Learn more about Function here:

https://brainly.com/question/17645931

#SPJ7

Five and 1/3÷2 2/3 simplified

Answers

Answer:

5 1/3 ÷ 2 2/3

Write both mixed fractions (whole number in front of fully-reduced fraction) as improper fractions (numerator is larger than denominator).

5 1/3 = 16/3

2 2/3 = 8/3

16/3 ÷ 8/3

When dividing, switch the numerator and the denominator of the fraction after the division sign and change the division sign to a multiplication sign.

16/3 x 3/8

Multiply.

16/8

Divide by 8.

2

Hope this helps! :)

1/2 x 1 1/3 x 2=?
please help on this

Answers

1/2 x 11/3 x 2 = 3.666666666666667

how can you find 72-25? circle all the correct answers

Answers

You can find it by doing out the math and the equation

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

In the year 2001, a person bought a new car for $12000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2004, to the nearest hundred dollars? i need this asap

Answers

Answer: $8700.

Step-by-step explanation:

The equation we can use is p  x  r^years.

p is the original value ($12000).

r is our multiplier, it goes down by 10% so our multiplier is 1-0.1 giving us 0.9.

IT is 2001 to 2004 so 3 years so we do r to the power of 3.

So we use 12000 x 0.9^3.

This is equal to 8748, to the nearest 100 dollars its $8700.

The average temperature in the Arctic Circle is -25 celsius. To the nearest integer, what is the average temperature in the Arctic Circle in degrees Fahrenheit?

Answers

The temperature in the attic circle would be -25 celsius

PLEASE HELP ME WITH THIS ASAP !!

Answers

Answer:

132cm^2

Step-by-step explanation:

SA of square based pyramid:

SA = 2bs + b^2

b = base

s = slant height

-> 2(6)(8) + 6^2

-> 96 + 36

= 132cm^2

Answer:

132

Step-by-step explanation:

[tex]tsa = {a}^{2} + 2al[/tex]

[tex]tsa = {6}^{2} + 2(6)(8)[/tex]

[tex]tsa = 36 + 96[/tex]

[tex] = 132[/tex]

PLEASE HELP ME WITH THIS! I NEED TO PASS THIS ASAP

Answers

Answer:

The Y-Int. is 60

Step-by-step explanation:

0 marks the x axis, which leads me to believe 60 is the Y-int so (0,60)

i need help 4 my brother

Answers

Answer:

$1.50

Step-by-step explanation:

pool: 46.50/6=7.75

beach: 46.25/5=9.25

9.25-7.75=1.5

If 9 − 3x < 54, then which of the following must be true?

F.
x < 15
G.
x > 21
H.
x < 21
J.
x < ‒15
K.
x > ‒15

Answers

If 9 − 3x < 54 then the following x > -15 must be true.

Inequalities is an expression used to show the non equal comparison of two or more variables.

Given the inequality:

9 − 3x < 54

Subtracting 9 from both sides of the equation:

9 - 3x - 9 < 54 - 9

-3x < 45

Dividing both sides of the equation by -3:

-3x/-3 < 45/-3

x > -15

If 9 − 3x < 54 then the following x > -15 must be true.

Find more on inequality at: brainly.com/question/241541

Wander for the questions

Answers

Just simply plug in the variables.
1. 7-2=5
2. 2(7)+3(2)=20
3. 2(7+2)=18
4.(7-2)^2=25

3 divided by 4 1/2 write in simplest form

Answers

[tex]3 \div 4 \frac{1}{2} \\ = 3 \div \frac{9}{2} \\ = 3 \times \frac{2}{9} \\ = \frac{2}{3} [/tex]

Answer:

[tex] \frac{2}{3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

10. A wildfire in Montana destroyed 240,000 acres in 3 days. At this rate, how many
acres were destroyed per hour?

Answers

Answer:

Approximately 3,333 acres per hour.

Step-by-step explanation:

Let's first find out how many hours are in 3 days.

There are 24 hours in one day.

24 times 3 = 72.

There are 72 hours in 3 days.

So the wildfire is destroying 240,000 acres every 72 hours.

240,000 divided by 72 = 3,333.3333, which is about

3,333 acres per hour.

The number of acres of land that were destroyed per hour is 3,333.33 acres.

Given the following data:

Land destroyed = 240,000 acres.Time = 3 days.

To calculate the number of acres of land that were destroyed per hour:

How to solve a word problem.

In this exercise, you're required to determine how many acres of land in Montana were destroyed by the wildfire per hour. Thus, we would first of all convert the value of time in days to hours and then divide the acres of land by it.

Conversion:

1 day = 24 hours.

2 days = 48 hours.

3 days = 72 hours.

For the acres destroyed per hour, we have:

[tex]Land=\frac{240000}{72}[/tex]

Land = 3,333.33 acres.

Read more on word problems here: https://brainly.com/question/13170908

Ima just say the question to: "The length of each of the two congruent sides of an isosceles triangle is 2x + 3. The length of the third side is 2x. Its perimeter is 36 centimeters. Write and equation that could be used to find the value of x. Solve for x and then find the length of all three sides." 100 points!!!!

Answers

Answer:

x = 5

Congruent sides = 13 cm each

3rd side = 2(5) = 10 cm

Step-by-step explanation:

2(2x+3)+2x = 36

4x+6+2x = 36

6x = 36-6

x = 30/6

x = 5

Congruent sides = 2(5)+3 = 13

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