Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−4x5. If there is more than one x-intercept, separate them with commas.
x-Intercept(s):
Vertex:

Answers

Answer 1

Answer:

x-intercepts -1, 5.

Vertex is at (2, -9).

Step-by-step explanation:

y = x^2 - 4x - 5

Completing the square:

y = (x - 2)^2 - 2^2 - 5

y = (x - 2)^2 - 9   which is vertex form.

So the coordinate of the vertex are (2, -9).

Finding the x-intercepts:

(x - 2)^2 - 9 = 0

(x - 2)^2 = 9

x - 2 = +/- 3

x =  3 + 2  or -3+2

= 5, -1.


Related Questions

Evaluate each expression express the result in scientific notation PLSSS I NEED THIS QUICK AND INCLUDE THE EXPLANATION

Answers

Answer:

3.1 × 10^5

Step-by-step explanation:

8.37 ÷ 2.7= 3.1 when you divide you subtract the exponents

One number is 9 less than a second number. Their sum is -27. What is the first number?

Answers

Answer:

x= first number y= second

x=2y+9 and x+y=129, these are the equations...solving gives x=89,y=40

Step-by-step explanation:

Answer:

-18 and -9 is the answer

what is the answer? ​

Answers

Answer:

Required Answer:-If [tex]\triangle[/tex] ABC is a isosceles triangle thenAB=BC

Now Substitute values

[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]

[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]

[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]

Step-by-step explanation:

Side AB and Side BC are the same so we can make them equal to each other:

3x -4 = 5x -10

Subtract 3x from both sides.

-4 = 2x -10

Add 10 to both sides.

6 = 2x

Divide both sides by 2

3 = x

x = 3

Now substitute x in the expression

3x -4

3(3) -4

PEMDAS

9 - 4

Subtract

5

An electrician charges an hourly rate of $60, but also charges a fixed fee for making house calls regardless of time spend on the job. One day, the electrician earned a total of $350 for a 5 hour job. Write an equation for C,C, in terms of t,t, representing the total cost of the electrician's services if the electrician spends tt hours at the house working.

Answers

Answer:

$50

Step-by-step explanation:

Step one:

charges per hour= $60

We are told that the electrician earned $350

for a job that took 5hours

The linear equation to represent his earnings is

let the flat fee be x

C=60t+x------------1

so for C=$350

Required

the flat fee

350=60(5)+x

350=300+x

collect like terms

x=350-300

x=50

Flat fee is $50

Answer: C=60t+50

Step-by-step explanation:

$60 an hour,

5 hours before the fixed fee is only $300

but the amount he made for a 5 hour house call was $350,

making the fixed fee $50

What is the value of g(2)?

Answers

Answer:

A.1

Step-by-step explanation:

looking at the function, you can see that you should use the second equation, x^3-9x^2+27x-25, x>=2

step 1: insert 2 into the equation. (2)^3-9(2)^2+27(2)-25

step 2: simplify equation 8-36+54-25=1

The value of function g(2) is 1. Therefore, option A is the correct answer.

The given function is g(x)=[tex]\left \{ {{(\frac{1}{2} )^{x-3} \hspace{6em} x < 2} \atop {{x^{3}-9x^{2} +27x-25} } \hspace{6em}x \geq2}} \right.[/tex].

We need to find the value of g(2).

What is the function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, g(2)= [tex](\frac{1}{2} )^{x-3} =2[/tex]

g(2)=2³-9(2)²+27×2-25

=8-36+54-25=1

The value of function g(2) is 1. Therefore, option A is the correct answer.

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a flagpole 6.3m is driven 1.4m long into the ground .what fraction of the pole is above the ground​

Answers

Answer:

4.9/6.3= .777777... , a simplified fraction form of this would be 7/9.

Step-by-step explanation:

Fraction 7/9 of the flagpole is above the ground

If a flagpole 6.3m long is driven 1.4m into the ground, then the fraction of the pole that is above the ground is 6.3m - 1.4m = 4.9m / 6.3m = 49/63 = 7/9.

To calculate the fraction of the pole that is above the ground, we need to subtract the length of the part of the pole that is driven into the ground from the total length of the pole. This gives us 4.9m. We then divide this length by the total length of the pole to get the fraction 7/9.

In other words, 7/9 of the flagpole is above the ground. This means that if we cut the flagpole into 9 equal pieces, 7 of those pieces would be above the ground and 2 of those pieces would be below the ground.

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Solve by factoring
15x^2 - 25x =0

Answers

Answer:

Answer below!

Step-by-step explanation:

[tex]15x^{2} -25x=0\\5x(3x-5)=0\\ \frac{5x}{5}=\frac{0}{5} ;x=0[/tex]

3x - 5 = 0

Add 5 to both sides;

3x = 5

Divide both sides by 3;

[tex]x=\frac{5}{3}[/tex]

One endpoint of a line segment has coordinates represented by (x+4,12y). The midpoint of the line segment is (3,−2).

How are the coordinates of the other endpoint expressed in terms of x and y?

A: (2x−2,1/2y−2)
B: (10−x,−1/2y)
C: (x+2,2−1/2y)
D: (2−x,−4−1/2y)

Answers

Your answer is option d

I will mark brainliest!!! Only have 5 mins!!!

Answers

Answer:

-1 + 6 = -7

Step-by-step explanation:

you go from -1 add 6 to the left and land on -7

because a - plus a - = a positive

you need to use a positive 6 to get a -7

Two sides of a triangle measure 10 inches and 10.9 inches. The included angle between these sides is 65°. What is the approximate measure of the third side of the triangle?

Answers

Answer:

9.9inches

Step-by-step explanation:

From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry

From trigonometry, Sin(x)= opposite/Hypotenuse

Sin(65)=X/10.9

X= Sin(65) ×10.9

X=0.9063×10.9

=9.8688

Hence the third side of the triangle is approximately 9.9inches

CHECK THE ATTACHMENT FOR THE TRIANGLE

Suppose that G(X) = F(x+ 9). Which statement best compares the graph of
G(X) with the graph of F(x)?
O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.
B. The graph of G(x) is the graph of F(X) shifted 9 units down.
C. The graph of G(x) is the graph of F(x) shifted 9 units up.
D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.

Answers

Answer:

Suppose that G(X) = F(x+ 9). Which statement best compares the graph of

G(X) with the graph of F(x)?

O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.

B. The graph of G(x) is the graph of F(X) shifted 9 units down.

C. The graph of G(x) is the graph of F(x) shifted 9 units up.

D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.

Step-by-step explanation:

Suppose that G(X) = F(x+ 9). Which statement best compares the graph of

G(X) with the graph of F(x)?

O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.

B. The graph of G(x) is the graph of F(X) shifted 9 units down.

C. The graph of G(x) is the graph of F(x) shifted 9 units up.

D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.

I need help please ;^;

Answers

What do you need help with lol

Answer:

with what

Step-by-step explanation:

 

What is the greatest common factor of 3x^4,15x^3,and 21x^2

Answers

Step-by-step explanation:

3x^2

is the greatest common factor

what is the greatest common factor of 35+14

Answers

Answer:

7

Step-by-step explanation:

When you multiply two numbers together to get a product, those two numbers are considered factors of the product. There are certain operations in math that require comparing two or more numbers and identifying the largest factor they have in common. This is called the greatest common factor (GCF).

Answer:

The first step to find the gcf of 14 and 35 is to list the factors of each number. The factors of 14 are 1, 2, 7 and 14. The factors of 35 are 1, 5, 7 and 35. So, the Greatest Common Factor for these numbers is 7 because it divides all them without a remainder.

so 7 is the greatest common factor of 35+14

The factors of 14 are 1,2,7,14; The factors of 35 are 1,5,7,35.

"how may I apply the distributive property to this expression."

 

By factoring out 7, the expression 35+14 = 7(5 + 2) and so you have an alternative way of computing the sum.

49 = 7(7).  

Graph -9x + 6y = 18.

Answers

Answer:

the graph is correct. the equation would be y=3/2x+3

Step-by-step explanation:

Answer:

You're right

Step-by-step explanation:

Khan

Amy can buy an 5-pound bag of dog food for $7.40 or
a 4-pound bag of dog food for $5.48. Which is the
better buy?

Answers

Answer:

4-pound bag

Step-by-step explanation:

7.40/5 = 1.48

5.48/4 = 1.37

$1.37 is cheaper

For the kiddie teacup ride at a carnival a person needs to be over 36 inches and at most 60 inches tall. Write an inequality that describes all the heights that are eligible to ride

Answers

Given:

For the kiddie teacup ride at a carnival a person needs to be over 36 inches and at most 60 inches tall.

To find:

The inequality that describes all the heights that are eligible to ride.

Solution:

Let h represents the heights that are eligible to ride.

For the kiddie teacup ride at a carnival a person needs to be over 36 inches. It means, height should be greater than 36 inches.

[tex]h>36[/tex]       ...(i)

For the kiddie teacup ride at a carnival a person needs to be at most 60 inches tall.

[tex]h\leq 60[/tex]       ...(ii)

Using (i) and (ii), we get

[tex]36<h\leq 60[/tex]

Therefore, the required inequality is [tex]36<h\leq 60[/tex].

Solve for b.
-11b+ 7 = 40
b=0

Answers

Answer:

-11b + 7 = 40

Subtract 7 on both sides

-11b = 33

Divide by -11

b = -3

but if b=0 b is already solved unless you meant b=x

Given g(x)=5x+4. Find the value of g(-4)​

Answers

Answer:

-16

Step-by-step explanation

g(-4)=5(-4)+4

g(-4)= -20+4

g(-4)= -16

Answer:-16

Step-by-step explanation: Desmos

Given and , what is ?

Answers

The value of z₂ - z₁ is -7 -8√(8i). And the second option is correct.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, given that two expressions,

[tex]z_1=9+9\sqrt{3i}\\z_2=2+\sqrt{3i}[/tex]

To find the z₂ - z₁:

So,

[tex]z_2-z_1\\\\=2+\sqrt{3i}-(9+9\sqrt{3i})\\\\=2+\sqrt{3i}-9-9\sqrt{3i}\\\\=-7-8\sqrt{8i}[/tex]

The value of the equation, z₂ - z₁ =  -7 -8√(8i)

Hence, the second option z₂ - z₁ = -7 -8√(8i) is correct.

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Answer:

B is the answer, just took the test

Step-by-step explanation:

12x+12=3x+84 so what does x=​

Answers

Answer:

x = 8

Step-by-step explanation:

12x +12 = 3x +84

12x +12 -12 -3x = 3x -3x +84 -12

12x -3x = 84 -12

9x = 72

9x/9 = 72/9

x = 8

Answer: Answer: x=8

Step-by-step explanation:

12x+12=3x+84

Subtract 12 on both sides:

12x+12-12=3x+84-12

12x=3x+72

Subtract 3x on both sides:

12x-3x=3x-3x+72

9x=72

Divide 9 on both sides:

9x/9=72/9

x=8

HELP PLZZZS!!!!!!! EASY 10 points *easy*

Answers

Answer:

reflection

Step-by-step explanation:

Answer:

I need 5 Brainliest before I can become Ace

Step-by-step explanation:

Solve for x when h (x)=62 given the function h(x)=8x-10

Answers

62 = 8x - 10
Add 10 to both sides
72 = 8x
Divide by 8
x = 9

Answer:

x=9

Step-by-step explanation:

62=8x-10

8x=72

x=9


HELP PLEASE QUICKLY!! Please

Answers

Answer: X = 26.5
Explanation

Help me with this! Solve for x

Answers

Answer:

x=6

Step-by-step explanation:

Line ZW and YX are parallel, which means they have the same measurements.

Therefore:

3x+2=20

subtract two from both sides

3x=18

divide by 3

3x/3=18/3

x=6

hope this helps =D

Evan was broke didn't he got his weekly allowance but because he has a hard time saving money he spent half his weekly allowance playing mini golf he just turned four dollars cleaning out his parents car if he now has 12 how much is his weekly allowance

Answers

Answer:

$16

Step-by-step explanation:

Let his weekly allowance = x

Amount spent playing golf = x / 2

Amount earned for cleaning car = $4

Final amount at hand = $12

Mathematically ;

x/2 + 4 = 12

x/2 = 12 - 4

x/2 = 8

x = 2 * 8

x = $16

Weekly allowance = $16

Help me! Please!
if you can't read it here you go
Make your own example of a relationship between two quantities that is NOT proportional. Describe the situation, and create a table to model it. Explain why one quantity is not proportional to the other.

Answers

Answer: this table shows a relationship between the number of Popsicles sold in the month of money earned by is a popsicle owner. Is the number of money earned in dollars proportional to the number of Popsicles sold? explain why or why not.

Step-by-step explanation:

AnOtHeR MATH QUESTION (SMH). HELP PLEASE !!!

Answers

Answer:

For the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2

Step-by-step explanation:

We are given function: [tex]g(x)=-x^2-3x+5[/tex], we need to find average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex]

The formula used is: [tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}[/tex]

We have b=2 and a= -7

Finding f(b) and f(a)

Finding g(b) by putting x=2

[tex]g(x)=-x^2-3x+5\\g(2)=-(2)^2-3(2)+5\\g(2)=-4-6+5\\g(2)=-10+5\\g(2)=-5[/tex]

Finding g(a) by putting x=-7

[tex]g(x)=-x^2-3x+5\\g(-7)=-(-7)^2-3(-7)+5\\g(-7)=-49+21+5\\g(-7)=-23[/tex]

Now, finding average rate of change when g(b)=-5 and g(a)=-23

[tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{-5-(-23)}{2-(-7)}\\Average \ rate \ of \ change=\frac{-5+23}{2+7}\\Average \ rate \ of \ change=\frac{18}{9}\\Average \ rate \ of \ change=2[/tex]

So, Average rate of change = 2

Therefore for the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2

If 1 foot is equal to 0.305 meters then how many feet are there in 8 meters

Answers

Answer:

2.438

Step-by-step explanation:

1=0.305m

x=8m

( do cross multiplication)

8=0.305x

x=2.438 or 2.44

can you help me please​

Answers

Answer:

use www. desmos. com lol

Step-by-step explanation:

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