What is the vertex of Y=x^2+5x-7

Answers

Answer 1

Answer:

the vertex of this parabola is at (5/2, 47/4)

Step-by-step explanation:

Y=x^2+5x-7 is written in 'standard form' for a quadratic.  Comparing this to

y = ax^2 + 5x - 7, we see that a = 1 and b = 5.  

                                                                                          -b

The formula for the x-coordinate of the vertex is x = --------

                                                               5                         2a

which in this case has the value x = ------- = 5/2

                                                             2(1)

Now use the quadratic formula to find the y-value of the vertex:

y = (5/2)^2 + 5(5/2) - 7, or

y  =  25/4 + 25/2 - 7, or

y  = 11.75 or 11 3/4

Thus the vertex of this parabola is at (5/2, 47/4)


Related Questions

Solve the system of equations by substitution.
3/8x + 1/3y = 17/24
x + 7y = 8

Answers

Using the second equation, let’s find x

x + 7y = 8
x = 8 - 7y

Substitute x in the other equation

3/8(8 - 7y) + 1/3y = 17/24
3 - 21/8y + 1/3y = 17/24
-55/24y = -55/24
y = 1

Plug in y in any equation

x + 7(1) = 8
x + 7 = 8
x = 1

x = 1 and y = 1

2.) Functions or Not a Function? Explain?


Answers

Answer:

answer

Step-by-step explanation:

Not a function.

When x repeats, it is automatically not a function. If y repeats, it is still a function.

The answer is that it is not a function. The reason why is because if there is a repeating x, it cannot be called a function

6.3(1 + f) =







6.3(1 + f) =

Answers

6.3+6.3f and that’s because you need to multiple both sides by 6.3

Answer:

63 times (f+1)/ 10

Step-by-step explanation:

* Simplify 63 over 10

* 63 over 10 times (f+1)

= 63 times (f+1) over 10

Solve inequality 5x+ 3 divided by 2 > 3x+2

Answers

Step-by-step explanation:

divide 3÷2 (5x+1.5>3x+2)

move the terms (5x-3x>2-1.5)

2x>0.5

divide by 2

x=0.25

A series whose first two terms are -12 to -8 respectively and whose last term is 124

Answers

Answer:

first two terms are 6 and 3

Step-by-step explanation:

yuh <3

I don't know what im doing help

Answers

Answer:

81/256

Step-by-step explanation:

3/4*3/4*3/4*3/4

first multiply the numerators (3) together, which equals 81

then multiply the denominators (4) together, which equals 256

81/256 can't be simplified further

Answer:

[tex]\frac{3^4}{4^4} =\frac{81}{256}[/tex]

Reasoning:

According to exponent law:

[tex](\frac{a}{b} )^{x} =(\frac{a^x}{b^x} )[/tex]

Now apply this to your problem.

[tex](\frac{3}{4} )^{4}[/tex]

[tex](\frac{3^4}{4^4} )[/tex]

[tex](\frac{81}{256} )[/tex]

Help please please help me

Answers

Answer:

Hi! I hope this answer helps you.

In mathematics, the vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

any vertical line in the plane can intersect the graph of a function at most once.

HOW TO DO THIS

take your pencil and place it on your paper vertically (up and down direction)

move the pencil across the paper to the right

if the pencil crosses more than two points on the line it is not a function

the first problem would be a function

the second problem would be a function

the third problem would not be a function

hope this helps !!!!

HELPPPPPPPPP
A: 5 units
B: 4 units
C: 3 units
D: 2 units

Answers

Answer:

Its 5 units why its simple X and Y is in a strait line which mean you measure it and divide it by 3.14 which is pie you get your answer.

Step-by-step explanation:

mark brain if im correct :D

In each figure, solve for X

Answers

Answer:

x=15

Step-by-step explanation:

7x+3x-4=146

10x-4=146

10x=150

X=15

The two sides added up equals the outside length.

Hope this helps if this does please mark as brainliest

X=15
Add your angels then

f(x) = 3.2 +5 +6
g(x) = 7
Find (f + g)(x).

A. (f+g)(x) = |3x+11| +7
B. (f+g)(x) = |3x+18|
C. (f+g)(x) = |3x+5| + 13
D. (f+g)(x) = |3x| +18

Answers

Answer:

A

Step-by-step explanation:

f (x)=3x+5+6

g (x)=7

(f+g)(x)=|3x+5+6|+7

=|3x+11|+7

What is between 8.79 and 8.80 on a numberline

Answers

Answer:

8.795 is exactly half way between them

Step-by-step explanation:

That is the difference between them

2(3х + 8) = 2х - 16 + 4х

Answers

Answer: 0= -32

Step-by-step explanation:

brainliest me

Split £10 into the ratio 4:1

Answers

Answer:

let the shares be 4x and 1x (4:1)

total share = 4x + 1x = 5x

total amount = 10£

5x = 10£

x = 2£

1st share = 4x = 4*2£ = 8£

2nd share = 1x = 1*2£ = 2£

.

.

[tex]{\bold{\red{HOPE\:IT\:HELPS!}}}[/tex]

[tex]\color{yellow}\boxed{\colorbox{black}{MARK\: BRAINLIEST!❤}}[/tex]

Did I do this correctly? (please help asap will mark brainliest)

Answers

Answer:

Ooh that is incorrect try again.

6. Calculate the compound interest on investing $600.00 for 2 years at 7% per year.​

Answers

Answer:

686.94

Step-by-step explanation:

first year, 42 interest

second year, 44.94 interest

Total=686.94

Read the scenario. 1. The temperature at 6 A.M. was -5°F. By noon the temperature had risen by 5°F. What was the temperature at noon? Represent these values with integers and model them on a number line. + + + 0 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Read the scenario. 2. A diver was 8 feet below sea level. The diver swam back up 8 feet. What is the location of the diver? Represent these values with integers and model them using integer tiles.​

Answers

Answer:

mm

Step-by-step explanation:

PLEASE HELP ME OUT

I WILL GIVE BRAINLIEST

PERFORM THE FOLLOWING CONVERSIONS USING UNIT FACTORING

400mg = _____kg

30 cm = _____ mm

Answers

400 mg = 0.0004
30 cm = 300 mm
400mg=0.0004kg
30cm=300mm

Is the set (3,1),(6,4),(9,7),(12,10) a function? Explain how you know

Answers

it is a function
since there is one value of Y for every value in ask this relation is a function

I got B+ in math what do you think should i tell my parents

Answers

Answer:

bro i got a B+ in math tooo!!!!!!!!

Step-by-step explanation:

yeah tell them!

Answer:

It's a low A and your working on bringing it up

Step-by-step explanation:

please help mee!! For which value of x does f(x) = 2?
A) 2
B) 0
C) -4
D) None of the above.

Answers

Answer:

The slope is zero

Step-by-step explanation:

0 | 2

1 | 2

3 | 2

Which set of ordered pairs represents a function?
A. {(0,5), (2,5),(4,5), (6,5), (8,5)}
B. {(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
C. {(2,3), (3, 4), (4,3), (3, 2), (2, 1)}
D. {(1, 4), (2, 4), (3, 4), (4, 3), (4, 2)}

Answers

I bet its c coukd be wrong tho good luc

Amanda is 15 years old. She has two sisters, Britney, who is 12 years old, and Caitlin, who is the youngest. Amanda’s age is equal to 3 times the difference of Britney’s age and Caitlin’s age. How old is Caitlin? A. 3 years old B. 5 years old C. 7 years old D. 12 years old

Answers

Answer:

c. 7

Step-by-step explanation:

Amanda is 15. 15 is 3 times the age difference so you know the age difference is 5. Britney is 12 so subtract 5 and thats 7.

Answer:

C. 7 Years Old

Step-by-step explanation:

Did the quiz and got 100%

Is -5/2 greater than 3?

Answers

Answer:

No -5/2 is not greater than three.

Step-by-step explanation:

You could solve this without doing any math. You know that a negative divided by a positive is still a negative and that negative numbers are never greater than positive numbers so therefore you got the answer. No, -5/2 is not greater than positive 3.

Answer:

No

Step-by-step explanation:

[tex]-\frac{5}{2}[/tex] is not greater than 3; it is less than 3. Positives are greater than negatives. To know if an integer is negative, you should see something like this: - in front of the number.

Positive integers don't have a plus sign in front of it because we already assume it is there.

How to tell if a piecewise function is differentiable.

Answers

Answer:

So what we're going to do is now take the so drdx of negative 3x plus 1 is equal drdx of x squared

Step-by-step explanation:

if a number became 2.5 times smaller, what precent was it decreased by

Answers

Answer:

25 percent because when you change it in percent it came25 percent

Represent the following expressions as a power of the number a where a≠0 a^2*(a^4)^3÷a^13
100 POINTS NOW

Answers

Answer:

a

Step-by-step explanation:

[tex]a^2*(a^4)^3:a^{13}=[/tex][tex]a^2*(a^4)^3:a^{13}=\\a^{2 + 4*3-13}=[/tex][tex]a^{14-13}=[/tex][tex]a[/tex]

Answer:

the answer is just a

Step-by-step explanation:

Viviana sells handmade necklaces for $12.50 and bracelets for $10.50. On Tuesday,
she sold 24 pieces of jewelry and made $288. How many of each type of jewelry did
she sell?
x= Necklaces
y= Bracelets

Answers

Answer:

brainlest = answer

Step-by-step explanation:

What’s the answer to this plssss??

Answers

Answer:

2c²

Step-by-step explanation:

8c³d² / 4cd²

= 2 * c²

= 2c²

Do number 5 this is not a quiz

Answers

Answer:

x = 50 in.

Step-by-step explanation:

72 in. ÷ 36 in. = 2

2 x 25 in.

= 50 in.

How to take derivative of absolute value.

Answers

The absolute value function is defined as

[tex]|x| = \begin{cases}x & \text{for }x \ge 0 \\ -x & \text{for }x < 0\end{cases}[/tex]

If x is strictly positive (x > 0), then |x| = x, and d|x|/dx = dx/dx = 1.

If x is strictly negative (x < 0), then |x| = -x, and d|x|/dx = d(-x)/dx = -1.

But if x = 0, the derivative doesn't exist!

In order for the derivative of a function f(x) to exist at x = c, the limit

[tex]\displaystyle \lim_{x\to c}\frac{f(x) - f(c)}{x-c}[/tex]

must exist. This limit does not exist for f(x) = |x| and c = 0 because the value of the limit depends on which way x approaches 0.

If x approaches 0 from below (so x < 0), we have

[tex]\displaystyle \lim_{x\to 0^-}\frac{|x|}x = \lim_{x\to0^-}-\frac xx = -1[/tex]

whereas if x approaches 0 from above (so x > 0), we have

[tex]\displaystyle \lim_{x\to 0^+}\frac{|x|}x = \lim_{x\to0^+}\frac xx = 1[/tex]

But 1 ≠ -1, so the limit and hence derivative doesn't exist at x = 0.

Putting everything together, you can define the derivative of |x| as

[tex]\dfrac{d|x|}{dx} = \begin{cases}1 & \text{for } x > 0 \\ \text{unde fined} & \text{for }x = 0 \\ -1 & \text{for }x < 0 \end{cases}[/tex]

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