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

A piece of fabric for a quilt design is in the shape of a parallelogram. The base is 5 in
and the height is 4.3 in. What is the total area of the 23 parallelogram pieces needed for
the quilt?

Answers

Answer:

A =a l × w and then you solve the equation you get the answer

Answer:

494.5 square inches

Step-by-step explanation:

5 times 4.3 is 21.5

21.5 times 23 is 494.5

please help please pleas

Answers

Answer:

8,8,6

Step-by-step explanation:

Since AB = BC, 4y = 3y+2

solving, y = 2

then we plug it back into the equations and get the answers

Answer:

Step-by-step explanation:

Givens

AB = BC

AB = 4y

BC = 3y + 2

AC = 3y

Solution

AB = BC

4y = 3y + 2                 Subtract 3y from both sides

4y -3y = 3y-3y + 2     Combine

y = 2

AB = 4y = 4*2 = 8

BC = 3y + 2 = 3*2 + 2 = 6+2 = 8

AC = 3y = 3*2 = 6

Please help! ):

For the functions f(x)=3x−4 and g(x)=6x^2+5, find (g∘f)(x).

Answers

Answer:

(g°f)(x) = 54x^2 - 144x + 101

Step-by-step explanation:

(g°f)(x)= g(f(x)) = g(3x-4) = 6(9x^2 - 24x + 16)+5 = 54x^2 - 144x + 101

what is the ans

1. Add : 12a²b², -7a²b² , and 9a²b²

2. Subtract : -5y² from y²

need a well explained ans :)
no spams , unwanted ans and plagiarism
kindly stay out if u don't know the ans ​

Answers

1. 12a²b² + -7a²b² + 9a²b²

= 14a²b² (the terms a²b² are like terms so don't look at them, just add 12 + (-7) + 9.

= 14 (ab)² (you can write like this too because both a & b are squared).

2. y² - (-5y²)

= 6y² (subtract -5 from 1, y² is the like term).

Simplify. (−5)^5(−5)^−6

Answers

Answer:

Step-by-step explanation:

In exponents multiplication, if bases are same, add the powers

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\(-5)^{5}*(-5)^{-6}=9-5)^{(-5) + (-6)} = (-5)^{-11}[/tex]

Answer:

Your answer would be:
-1/5 or -0.2




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

i need help asap pls & ty

Answers

Answer:

solution : 2f+2g

Step-by-step explanation:

(f+g)(2)=

multiply each term in the parentheses by 2.

= 2f+2g

I hope tama

Which sequence shows the numbers in order from least to
greatest?
OA) -2.45 x 102, 193, 6.987
OB) 6.987, -2.45 x 102, 793
OC) V93, 6.987, -2.45 x 102
OD) -2.45 x 102, 6.987, 793

Answers

Answer:

D

Step-by-step explanation:

Just did it

Sam put $500 into a savings
account with a simple interest
rate of 6%. He earned $120 of
interest. How long was his
money in the bank?
.Write your response!

Answers

The money was in the bank 4 years

Answer: 6 years

Step-by-step explanation:



4, 13, 5, 8, R, 5, 11

In the data set shown, R is an integer. If the median of the data set is 8 and R < 11, what is a possible value

of R?

Answer:

Answers

Answers:

R can be either 8, 9 or 10

============================================================

Explanation:

Let's exclude the R value for now.

The set {4,13,5,8,5,11} sorts to {4,5,5,8,11,13}.

Now we'll include R back in. We're told that R is an integer and it's smaller than 11. The possible values R can take on are: {10, 9, 8, 7, ...} The countdown continues forever into the negative territory.

If R < 4, then we go from {4,5,5,8,11,13} to {R,4,5,5,8,11,13}. That R is guaranteed to be the min value since R is less than the smallest value of the previous set. Note that the middle-most item of the second set is 5; however, we want the median to be 8 instead. This allows us to rule out the case that R < 4.

So we've determined that 4 < R < 11. Because R is an integer, we can say it takes on the values from the set {5,6,7,8,9,10}

------------------------------

If R = 5, then {4,5,5,8,11,13} updates to {4,5,5,5,8,11,13} after adding in that R value. We can see the median is 5, so we can rule out the case that R = 5.

Similarly, we can rule out R = 6 as well. The set {4,5,5,8,11,13} updates to {4,5,5,6,8,11,13} in which the median is 6.

If R = 7, then the median is 7 for similar reasoning and we can rule out this R value.

So we've ruled out the cases that R = 5, R = 6 and R = 7.

If we tried R = 8, then {4,5,5,8,11,13} becomes {4,5,5,R,8,11,13} = {4,5,5,8,8,11,13}. This set has a median of 8 and R = 8 is one of the answers.

-------------------------------

Now let's consider the possibility that 8 < R < 11.

If for instance R = 9, then {4,5,5,8,11,13} becomes {4,5,5,8,9,11,13} to show that this set also has a median of 8. R = 9 is another answer.

The same idea happens when R = 10 as well because we get {4,5,5,8,10,11,13}. R = 10 is another answer.

-------------------------------

In short, R can be any of the following values: 8, 9, 10

Find the missing angle measurement in each set of supplementary angles.

Answers

Answer:

126°

Step-by-step explanation:

180-54 = 126

Supplementary angles form 180°. Let's take the missing angle as 'x'.

54° + x° = 180°

x = 180° - 54°

x = 126°

=》 Angle LJK = 126°

______

RainbowSalt2222 ☔

С
12 yd.
5 yd.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
C=
yards

Answers

Answer:

C = 13

Step-by-step explanation:

A²+B²=C²

where c is the hypothenuse

5²+12²=c²

25+144=c²

169=c²

√169 = c

13 = c

Find x if the line through the points (6, x) and (1,-5) has a slope of 2.

Answers

Answer:

Step-by-step explanation:

Use the slope formula

m = (y2 - y1)/(x2 - x1)

y2 = x

y1 = -5

x2 = 6

x1 = 1

m = 2

Solution

2 = (x - - 5)/(6 - 1)

2 = (x + 5)/ 5                   Multiply both sides of the equation by 5

5*2 = 5(x + 5)/5              Simplify

10 = x + 5                         Subtract 5 from both sides

10-5 = x

x = 5

g(n)=n^2-4
h(n)=4n+5
find g°h

Answers

Answer:  g(4n+5) = 16n^2 + 40n + 30

Step-by-step explanation:

g(n)=n^2-4

h(n)=4n+5

find g°h

g°h is g(4n+5) = (4n+5)^2 + 5

g(4n+5) = (16n^2 + 40n + 25) + 5

g(4n+5) = 16n^2 + 40n + 30

90,891 rounded to the thousands place

Answers

The answer is 91,000

Answer:

Well thousands place is in this case 0 here in the 90,891

Now we look at the digit to the right which is suppose to be 5 or above in order to round up or 4 or below to stay the same.

91,000 is the answer

Please help!
(at the start it says "Albert's mom bought" but it was accidentally cropped out...sorry)

Answers

Answer:

Option D

Step-by-step explanation:

We convert 5 2/3 into an improper one:

17/3

There are 5 people in his family

17/3 * 1/5 = 17/15

So option D

Pls help if you only know the correct answer!!! Thanks!!

Answers

Answer:

Step-by-step explanation:

First divide 96 by 8 which is 12. The ratio is 96:8. The unit rate is 8. Each building floor is 12ft high.

The Beta Club is having a bake sale to raise
money for their field trip. They need to make
at least $450 dollars. They go to the store and
spend $85 on supplies.
How many
treats do they
need to sell at $0.65
each to make up the cost
of supplies and make a
profit of at least $450?

Answers

Answer:

693

Step-by-step explanation:

450 + 85= 535 then you divide 535 by .65 = 823.08 ~ 824 then divide 85 by .65= ~131 then subtract 131 from 824=693 treats in order to make a profit of ~450.00

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

it's b

Step-by-step explanation:

because it is sum and difference of 3x and 5

10 x f(7) +9 x g(-1)=

Answers

the answer is 78

Step-by-step explanation:

10×7+9x-1=78

Answer: The answer is -1

Step-by-step explanation:

Please help! WILL MARK BRAINLIEST

Answers

Answer:

[tex](4,2)[/tex]

Step-by-step explanation:

In our graph only [tex](4,2)[/tex] makes sense

The last one makes an upside-down triangle which is not what we're looking for

The third one makes a weirdly shaped one which we're not looking for

The second one doesn't look like the triangle we're looking for so it's incorrect

This means the first one is correct

Brainliest please

How many bagels can you buy for $50?​

Answers

Answer: about 120??

Step-by-step explanation: pls leave a thanks if helped <3

Answer: 120 bagels

Step-by-step explanation:

$50/$5 = 10 dozens of bagels

10 dozens x 12 = 120 bagels in total

32is ​0.2% of what​ number? Use pencil and paper. Would you expect the answer to be a lot less than ​32, slightly less than ​, slightly greater than ​32, or a lot greater than 32 ​? Explain

Answers

Answer:

A lot greater

Step-by-step explanation:

32 is 0.2% of the number, that is a small amount compared to what the whole is

A Dog’s grew 2 1/2 inches in 12 1/2 weeks.How long will the hair grow in 1 week

Answers

Using the principle of proportional relationship, the length of hair grown by the dog in 1 week would be 0.2 inches

Setting up the relationship thus :

12.5 weeks = 2.5 inches

1 week = p inches

Cross multiply

12.5p = 2.5

Divide both sides by 12.5

p = 2.5 / 12.5

p = 0.2 inches

Hence, the length grown in 1 week is 0.2 inches

Learn more : https://brainly.com/question/25625086

Find the lowest common multiple (LCM) of 18 and 21.

Answers

LMC (18,21) = 126

ok done. Thank to me :>

BRAINLIEST
Solve for X. Round to the nearest tenth.

Answers

Answer:

12

Step-by-step explanation:

there is no x in the question

The elves have $120 to spend on boxes of candy canes and boxes of ornaments. Each box of candy canes costs $3.00
and each box of ornaments costs $12.00. Let x represent the boxes of candy canes and y represent the boxes of
ornaments. Write an equation that describes the number of boxes of candy canes and ornaments that the elves can
buy.

Answers

Answer:

[tex]3x + 12y = 120[/tex]

If this problem needs solved like the other one I answered with the reserved seats and general admission, it is done the exact same way as that one.

If I need 2 teaspoons of oil for every 4 cups of flour to make 1 batch of
chocolate chip cookies, what would be the ratio I need to make 2 batches
of cookies. How many teaspoons of oil to how many cups of flour?

Answers

Answer:

2:4 or simplify and get 1:2

Step-by-step explanation:

2 tsp. of oil every 4 cups of flour.

polynomials functions please help

Answers

Answer:

Step-by-step explanation:

Polynomial Functions. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.

PLEASE HELP ME THIS I DUE MONDAY

Which of the following is the best definition of a unit rate?
A) A unit rate is two ratios that have the same value.
B) A unit rate is a rate that has a denominator of one unit.
C) A unit rate is a ratio of two quantities that have different units.
D) A unit rate is something that uses division to compare two numbers

Answers

Answer: B

Step-by-step explanation: A rate is a ratio comparing quantities of different items. A unit rate is a rate with 1 in the denominator.

Would appreciate brainly <3

Answer:

Unit rate means a ratio between two units values, where the unit in the denominator is always one.

Step-by-step explanation:

You can write which one is easy for u.

What is the value of the function y= 2x – 3 when x = -1?
O --5
O-1
o 2
03

Answers

Answer:

y= 2x-3

when X= -1

y= 2(-1)-3

y= -2-3

y= -5

The value of the given function y=2x-3 is  -5 when x=-1

What is a function?

A function is a correspondence from the two set A to set B in which each element of set A has a unique image in B. Generally we denote a function by f or y.

Here the given function is y=2x-3

Putting x= -1 in the given function y=2x-3 , we get

y= 2(-1) -3

y= -2-3

y= -5

Hence the value of the function y= 2x-3 is -5 when x=-1 .

To learn more about function click here:

https://brainly.com/question/25649287

#SPJ7

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