Write the equation of the quadratic whose Vertex is at ( −4,−5) and passes through the point (−3, −7)

Answers

Answer 1

To Find :

The equation of the quadratic whose Vertex is at ( −4,−5) and passes through the point (−3, −7).

Solution :

A quadratic equation in vertex form is given by :

[tex]y = a(x-h)^2 + k[/tex]  

( Here, h, k is the vertex )

y = a(x-(-4))² + (-5)

y = a(x+4)² - 5

Now, putting (-3,-7) in above equation:

-7 = a( -3 + 4 )² - 5

a(1)² = -2

a = -2

Therefore, the equation of the quadratic is y = -2(x+4)² - 5 .


Related Questions

What are the coordinates of the solution of these two linear equations

Answers

Answer:

(-2 -3)

Step-by-step explanation:

_____________________

Which equation is true for the value a=7
A. a+2(a-3)= 15
B. 4a-4(14)-a=24
C. 2a+47=105
D.3a+2(a-3)=34
E. 4a-2a=18

Answers

Answer:

The answer is just re look at the question A

Answer

THE ANSWER IS A

Step-by-step explanation:

SALE
70% OFF!
The original price of a chandelier is $440. How much will Victoria pay if she buys it during the
sale?

Answers

Answer:

308

Step-by-step explanation:

70/100 x 440 = 308

a rectangular garden measures 300m by 460m. what is the perimeter of the garden ? in metres?​

Answers

Answer:

hgvjkhy88ubuybyi

Step-by-step explanation:

hjuoihgvgbhko



Can someone explain too please

Answers

Answer:

Answer = A.)10

Step-by-step explanation:

The median for test A is 30 and the median for test B is 40. So you take the bigger number and subtract it by the smaller number to get the difference. 40-30 = 10

the answer to ur question is A

Determine the area of the figure. Note that each unit is one unit in length.

Answers

Answer:

nao sei ispoosksjjdkdddks

Answer:

54

Step-by-step explanation:

Split into 2 rectangles and 2 triangles and calculate area

What does a country need to do to keep a republic, and not fall under the power of a dictator?

Answers

Answer:

Continue to provide equality for all!

Step-by-step explanation:

When rules and regulations are in place, the government runs smoothly but also people still need to have a voice because without us - there is no government(social contract). We the people(constitution) have the power to prevent a dictator.

Hope this helps:)

Which angles are supplementary to
∠4? Select all that apply.


∠2 ∠7
∠5 ∠6
∠1

Answers

Answer:                                              

The supplementary angle are:

∠2

∠3

∠6

∠7

                     

A store has a sale on paper cups, 2 packs for $15.00. There are
100 cups in each pack.
How many cups are you purchasing?

Answers

Answer:

15/2=7.5

7.5/100=0.075

0.075$ per cup.

-TheOneandOnly003

Hope this answer helps you :)

Have a great day :)

Mark brainliest

200

The question was “how many cups are you purchasing?”, not the cost per cup!

Simplify the following expression:
(3i+ 4) -i + 4(6 +2i)
A. 14+8i
B. 27 + 11i
C. 14+41i
D. 28 + 10i

Answers

9514 1404 393

Answer:

  D.  28 +10i

Step-by-step explanation:

As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.

  (3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses

  = (4 +24) +(3 -1 +8)i . . . . . . . group like terms

  = 28 +10i

Solve for x. The triangles in each pair are similar. Please explain!! I’m so confused

Answers

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Given

[tex]\triangle JDC[/tex] similar to [tex]\triangle JKL[/tex]

Required

Find x

To do this, we make use of the following equivalent ratios

[tex]JK:JL = JD:JC[/tex]

This gives

[tex]98 : 63 = 7x + 7:27[/tex]

Express as fraction

[tex]\frac{98 }{ 63} =\frac{ 7x + 7}{27}[/tex]

Multiply both sides by 27

[tex]27 * \frac{98 }{ 63} =\frac{ 7x + 7}{27} * 27[/tex]

[tex]27 * \frac{98 }{ 63} =7x + 7[/tex]

[tex]3* \frac{98 }{ 7} =7x + 7[/tex]

[tex]3* 14 =7x + 7[/tex]

[tex]42 =7x + 7[/tex]

Collect like terms

[tex]7x = 42 - 7[/tex]

[tex]7x = 35[/tex]

Divide both sides by 7

[tex]x = 5[/tex]

can someone help me find the value of w please :)

Answers

Answer:

w=18.27

Step-by-step explanation:

Using Trig you have opposite and hypotenuse so use SIN

Sin(66)=w/20

20Sin(66)=w

w=18.27

Find the mean of the following data set 5,9,3,12,14,67,22,45,1,12,14

Answers

Answer:

18.5 i believe

Step-by-step explanation:

sorry if im wrong, have a great day!!

Segment AB is tangent to C. Find AB.
6 + 6
AB=

Answers

The answer to this problem is 7AB+C+6

Alan deposited $300 in an account that pays 6% interest compounded continuously. Approximately how long will it take for Alan’s money to triple?

(Use formula A=Pe^rt where A is the accumulation amount, P is the initial amount, r is the annual rate of interest, and t is the elapsed time in years.)

Show your work for credit

Answers

9514 1404 393

Answer:

  18.3 years

Step-by-step explanation:

You want ...

  A/P = 3 = e^(rt) . . . for r = 0.06

Taking the natural log, this gives ...

  ln(3) = 0.06t

  t = ln(3)/0.06 ≈ 18.31

It will take about 18.3 years for the value to triple.

In What quadrant is the point (-5, -5) located

Answers

Answer:

Since both values are negative, it can be found in the 3rd quadrant

Feel free to mark this as brainliest :D

Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100
plus 10
per doctor visit, given y=100+10x
. The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x
.

Which insurance company has the LOWER rate and what is the rate?

Answers

The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.

What is the system of equation?

A system of equations is a collection of two or more equations with a same set of unknowns.

In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x

The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x.

On solving both the equations

[tex]\rm 35x=100+10x\\\\35x-10x=100\\\\25x=100\\\\x=\dfrac{100}{25}\\\\x=4[/tex]

For 4 doctor visits charges are same and Rate 35 $ per doctor visit.

For less than 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.  

Hence, The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.

Learn more about system of equation here;

brainly.in/question/21918540

.

#SPJ2

which of the is not an example of property tax?


A) Tax paid on the value of a farm a person owns


B) Tax paid on the value of a piece of land a person owns


C) Tax paid on the value of a piece of furniture a person owns


D) Tax paid on the value of a home a person owns

Answers

Answer:

C

Step-by-step explanation:

Furniture is not counted as property that can be taxed.

Maria has $5.00 more than José. Together they have. $37.50.
Which of these equations would you use to find the amount of money José has?

Answers

Answer:

B

Step-by-step explanation:

Maria has $5.00 more than José

Maria, M

Jose, j

M = j + $5

j + M = $37.50

j + j + $5 = $37.50

The amount of money José has is $16.25.

What is the equation?

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Maria has $5.00 more than José.

Together they have. $37.50.

Let, the amount of money José has be x.

Based on the given conditions, formulate:

[tex]\rm 5+2\times x=37.50\\\\5+2x=37.50\\\\2x=37.50-5\\\\2x=32.50\\\\x=\dfrac{32.50}{2}\\\\x= 16.25[/tex]

Hence, the amount of money José has is $16.25.

Learn more about equation here;

brainly.com/question/21511618

#SPJ2

Which pair of ratios form a proportion? A. 2 : 3 and 3 : 4 B. 8 : 12 and 16 : 20 C. 4 : 7 and 12 : 21 D. 9 : 15 and 10 : 16

Answers

Answer:

C 4:7 and 12:21

Step-by-step explanation:

4×3 => 12

7×3 => 21

Help will be appreciated

Answers

Answer:

48

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

48

the picture 20 words or longer for the answer so this is extra text

What is the probability of rolling a six-sided number cube and getting an odd number or a number less than 4?

Answers

Answer:

[tex]Pr(Odd\ or\ <4) = \frac{2}{3}[/tex]

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6\}[/tex] --- roll of a die

[tex]n(S) = 6[/tex] ---- the sample size

[tex]Odd = \{1,3,5\}[/tex]

[tex]<4 = \{1,2,3\}[/tex]

Required

[tex]Pr(Odd\ or\ <4)[/tex]

First, list out the event of odd or <4

[tex]Odd\ or\ <4 = \{1,2,3,5\}[/tex]

So, the probability is:

[tex]Pr(Odd\ or\ <4) = \frac{n(Odd\ or\ <4)}{n(S)}[/tex]

[tex]Pr(Odd\ or\ <4) = \frac{4}{6}[/tex]

Simplify

[tex]Pr(Odd\ or\ <4) = \frac{2}{3}[/tex]

round off to the nearest two decimal places
a) 32,369
b) 99,004​

Answers

Answer:

a = 32,37

b=99

Step-by-step explanation:

a = 32,369

The third decimal place is greater (or equal) than 5, so we need to add one unit to the second place.

= 32,37

b = 99,004

The third decimal place is lesser than 5, so we can simply delete it.

= 99,00

Since only zero in every decimal places are not relevant, we can remove them:

= 99

Please help me out I don’t understand this.

Answers

The area (A) of a trapezoid is calculated as follows:

A = 1/2 * sum of the parallel sides * height

In this case:

A = 1/2 * (23 + 5) * 12 = 168 yd^2.

Answer: it’s 168

Step-by-step explanation:

Harry purchased 5 liter of blackberries. His younger brother ate 1/6 liter of the
blackberries on the way home. How many liters does he have left?
liter
Math

Answers

Answer:

f

Step-by-step explanation:

sro;y :-(

Answer:

Since his bro ate 1/6litre...

The remaining is simply

5 - 1/6 = 29/6litres

What is the interquartile range of the data shown in box plot help for brainlist

Answers

Answer:

10

Step-by-step explanation:

subtract lower quartile (10) from upper quartile (20)

Which set of three side lengths can be
used to make a right triangle?
39, 49, 59
39, 41, 45
39, 80, 89
39, 49, 59

Answers

Answer:

39,80,89

Step-by-step explanation:

Right triangles hypotenuse squared should equal the sum of its other side lengths. A^2+B^2=C^2. The hypotenuse is the longest length (89).

39^2+80^2=89^2

7921=7921

Oscar is trying to incorporate more exercise into his busy schedule. He has several short
exercise routines he can complete at home. Last week, he worked out for a total of 35
minutes by doing 2 arm routines and 1 abdominal routine. This week, he has completed 4
arm routines and 1 abdominal routine and spent a total of 55 minutes exercising. How long
does each routine last?
minutes to complete, and an abdominal routine takes
An arm routine takes
minutes to complete.

Answers

Answer:

The arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.

Step-by-step explanation:

Since Oscar is trying to incorporate more exercise into his busy schedule, and he has several short exercise routines he can complete at home, and last week, he worked out for a total of 35 minutes by doing 2 arm routines and 1 abdominal routine while That this week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 55 minutes exercising, to determine how long does each routine last the following calculation must be performed:

2ARM + 1ABS = 35

4ARM + 1ABS = 55

4ARM + 1ABS - 2ARM - 1ABS = 55 - 35

2ARM = 20

ARM = 20/2

ARM = 10

2 x 10 + ABS = 35

ABS = 15

Therefore, the arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.

FIND THE MISSING SIDE LENGTHS!!!!!

Answers

Step-by-step explanation:

tan 30°= root 3/ 3

r²=x² + y²

r²= 4root3 ² + 12²

r²= 48 +144

r²= 192

ŕ= 8root3

so the bottom is 12...

the other side is 4root3

[tex]4 \sqrt{3} [/tex]

and hypotenuse is 8root3

[tex]8 \sqrt{3} [/tex]

Volume of Prisms and Cylinders

a. 339.12 cu. in.
b. 113.04 cu. in
c. 226.08 cu. in.
d. 1356.48 cu. in

Please select the best answer from choices provided

Answers

Answer:

A. 339.12 cu. in.

Step-by-step explanation:

I calculated it logically

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