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

LM is the midsegment of trapezoid RSXY. What is the length of RS?
Can somebody help me with this

Answers

Hmm I’m not so sure but can you help me with this? If 150 Joules of work is needed to move a box 1000 cm, calculate the force that was used?

FOR 50 POINTS. HELP ASAP!!!! John is looking at the eagle on top of a building. The height of the building is 120 ft.

Approximately how many feet is Jack away from the base of the building?

The degree is 60*

Choices are
A.70ft
B.208ft
C.240ft
D.120ft

Answers

Answer:

A. 70 ft

Step-by-step explanation:

Use trigonometry.

tangent  = opposite / adjacent

We have:

opposite = 120 ftangle = 60°adjacent = x

Solve for x:

tan 60° = 120/xx = 120 /tan 60°x ≈  70 ft

HELP HELP HELP HELP!!!!

Answers

Answer:

18ft^2

Step-by-step explanation:

to find area of a triangle you you multiply the base times height then divide by 2 which for this question will come out to be 2. The area of square in this question is 4 time 4 which equals to 16. 16 plus 2 is 18, so the and is 18ft^2

QUICK GIVING BRAINLIEST TO CORRECT ANSWER

Answers

Answer:

4cm

Step-by-step explanation:

length is how tall, so 4cm

Please help me solve (with each step) the following:
log7 -2b-9=-6

Answers

The answer is -10b and it can be solved by any one who put his mind forward

what is the value of x

Answers

Step-by-step explanation:

2x+30+x+72°=180

3x+30=180°-72°

3x+30=108°

The two figures are similar. Write the similarity statement. Justify your answer,​

Answers

Answer:

Triangle RTS is similar to JLK

Step-by-step explanation:

Scale factor is 1.5

Please look at the image

Answers

Answer:

2) <TWN and <SWM

Step-by-step explanation:

2) <TWN and <SWM

Answer:

(2)

Step-by-step explanation:

This is because they are both vertical to one another!

Hope this helps!

Write an equation to represent the following description. The difference of seven times a number and 15 is 41.

Answers

Answer: 3

7x + 15 = 41 or 7x - 15 = 41

Answer:

7x - 15 = 41

Step-by-step explanation:

The key word is "difference" so keep that in mind. 7 times a number and 15 is 41. The "number" is unknown so a variable can be put in place until the number is known. The whole equation equals 41. The word "and" is where the "difference" or subtraction sign should go. Now we have a translated description! I hope this helps and if I'm wrong, please let me know!

Solve the equation –15 + 10y = 25 for y.

Answers

Answer:

y = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

-15 + 10y = 25

Step 2: Solve for y

[Addition Property of Equality] Add 15 on both sides:                                   10y = 40[Division Property of Equality] Divide 10 on both sides:                                y = 4

PLEASE HELP ASAP Use the figure to complete the following trigonometric ratios.

Answers

Answer:

[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]

Step-by-step explanation:

[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]

Select the correct answer.
Mike wants to find the confidence interval for a set of data. He knows the sample size and the sample proportion. Which other piece of information does he need to determine the confidence interval?

A.
the number of favorable responses
B.
the critical value
C.
the standard deviation
D.
the standard error of the mean

its A the critical value because I just took the test and got it right

Answers

Answer:

Yeahhhh!! the critical value

Step-by-step explanation:

It is desired to estimate the average time it takes Statistics students to finish a computer project to within two hours at 90% reliability. It is estimated that the standard deviation of the times is 14 hours. How large a sample should be taken to get the desired interval? n = 231 n = 189 n = 325 n = 133

Answers

Answer:

n = 133.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of the times is 14 hours.

This means that [tex]\sigma = 14[/tex]

How large a sample should be taken to get the desired interval?

Within 2 hours, which means that we want n for which M = 2. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]2 = 1.645\frac{14}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 1.645*14[/tex]

Dividing both sides by 2

[tex]\sqrt{n} = 1.645*7[/tex]

[tex](\sqrt{n})^2 = (1.645*7)^2[/tex]

[tex]n = 132.6[/tex]

Rounding up, n = 133.

please help me with this !!

Answers

G=78 degrees and J=32 degrees

Answer:

m∠J = 32°

m∠G = 78°

Step-by-step explanation:

ΔHJI ≈ ΔGEF respectively means;

∠H ≅ ∠G

∠I ≅ ∠E

∠J ≅ ∠F

Therefore;

Since  ∠F = 32°, then ∠J = 32°

Since ∠H = 78°, then ∠G = 78°

Hope this helps!

What is the area, in square units, of the parallelogram shown below?

21 s u

56 s u

63 s u

81 s u​

Answers

Answer:

Area of parallelogram = 63 square units

Step-by-step explanation:

In the given parallelogram:

Height of parallelogram = 9 units

Base of parallelogram = 7 units

Find:

Area of parallelogram

Computation:

Using area of parallelogram;

Area of parallelogram = Height of parallelogram x Base of parallelogram

Area of parallelogram = 9 x 7

Area of parallelogram = 63 square units

She buys 12 bottles of tomato juice each bottle contains 3/4 cup of juice sheena also buys 12 bottles of orange juice each bottle contains 3 cups of orange juice

Answers

what is the rest of the question

Janice has $35.50
She has $10.35 more than Siti
siti has $12.80 less than Amiya
How much money does Amiya
have​

Answers

The answer is $12.35

siti = x

Janice = 35.50$

Janice = 10.35 + x = 35.50

x = 35.50 - 10.35

x = 25.15

Siti = 25.15$

Amiya = y

Amiya = y - 12.80 = 25.15

y = 25.15 - 12.80

y = 13.25$

Solve X^2 - 6x = -5 by completing the square. Show all work for the steps below. A) For x^2 - 6x + c = -5 + c, what value of c is used to complete the square? B) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. C) Solve for x. ( Will Mark Brainliest but no links or nonsense answers please) I Also Posted A Picture Of The Question And Steps so you can see what the question and steps are to take.​

Answers

Answer:

Below.

Step-by-step explanation:

x^2 - 6x = -5

x^2 - 6x + 9 = -5 + 9            c = 9

(x - 3)^2 = 4

x - 3 = +/- sqrt4

x - 3 = +/- 4

x - 3 = 2 gives x = 5  and

x - 3 = -4 gives x = -1.

If p is directly proportional to q, and p = 40 when q = 15, find q when p = 64

Answers

40/15=64/q
The answer is q=24

A package of 8 pencils costs $0.96. What
is the cost per pencil?
A $0.11
B $0.12
C$0.10
D $0.20

Answers

Answer:

B

Step-by-step explanation:

0.96/8=0.12

Answer:

B. $0.12

Step-by-step explanation:

Just divide the total cost ($0.96, but for the sake of this question it's 96) by the number of pencils (8) and you get 12, which, again, for the sake of this question, is 12 cents. I hope this helps

A circle of radius of 4 inches has an arc length of 5.8 inches. Find the measure of the central angle.

Answers

SOLUTION :

The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is [tex]2\pi r [/tex] . Similarly when angle is theta ,

[tex]\implies Arc = radius \times \theta [/tex]

Now substitute respective values , from the given data ,

[tex]\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}[/tex]

This is our required answer!

Gabriel multiplied a number by 5 instead of 3. The answer that he got was
12 more than the correct answer. What was the original number?

Answers

Answer:6

Step-by-step explanation:

The original number that was multiply by 5 instead of 3 is 6.

What is the orignal number?

The equation that can be used to represent the informatioin in the question is:

5x - 3x = 12

Where x is the original number

In order to determine the value of x, take the following steps

Combine similar terms: 2x = 12

Divide both sides by 2

x = 6

To learn more about multiplication, please check: https://brainly.com/question/3385014

Find the Area of the shaded region. Round your answer to the nearest tenth.

Answers

Answer:

210 ft^2

Step-by-step explanation:

The figure is made up of a rectangle 15 ft by 12 ft and a triangle with base 15 ft and height 4 ft.

A = LW + BH/2

A = (15 ft)(12 ft) + (15 ft)(4 ft)/2

A = 180 ft^2 + 30 ft^2

A = 210 ft^2

Answer:

210ft²

Step-by-step explanation:

Step one, find the area of the square. --->

A= bh (Area equals base times the height)

15×12=180

Step two, find the area of the triangle.

A=bh÷2 (Area equals base times the height divided by 2)

4×15= 60÷2= 30

Step three, add the solutions together

180+30=210

Can someone answer this?

Answers

x = 46°

Step-by-step explanation:

The missing angle on the left triangle is 180 - (85 + 53) = 42°. By the definition of vertical angles, the angle on the right triangle is also 42°. Since the total of all the interior angles of a triangle is 180°, then

92 + 42 + x = 180

or

x = 46°

Anyone here able to lend a helping hand?

Answers

Answer:

Step-by-step explanation:

1). Vertical intercept of the graph = Point at which the graph intersects the y-axis.

Therefore, vertical intercept is y = 1000.

In this situation vertical intercept means the initial dose of the drug taken = 1000 mg.

2). From the graph attached, point (x, y) represents,

x = Time 't' or duration

y = concentration of the drug after time 't'

Point (0, 1000) represents concentration = 1000 mg of the drug after t = 0 hour

Similarly, (1, 750) represents concentration = 750 mg after t = 1 hour

Therefore, fraction of drug remained = [tex]\frac{750}{1000}[/tex]

                                                              = [tex]\frac{3}{4}[/tex]

3). Let the equation, representing the concentration of the drug and time is,

[tex]y=a(b)^t[/tex]

Here, a = Initial amount of the drug (at t = 0 hours)

            = 1000 mg

At (t = 1 hours), concentration of the drug = 750 mg

[tex]y=1000(b)^t[/tex]

[tex]750=1000(b)^1[/tex]

[tex]b=\frac{750}{1000}[/tex]

[tex]b=\frac{3}{4}[/tex]

Therefore, equation will be,

[tex]y=1000(\frac{3}{4})^t[/tex]

Why don't we use the Richter scale anymore?

Answers

Answer:

The Richter scale was abandoned because it worked best for earthquakes in southern California, and only those hitting within about 370 miles (600 kilometers) of seismometers. These days, scientists detect temblors on the other side of the Earth. In addition, the scale was calculated from one type of earthquake wave, a kind that doesn't help much when measuring truly massive quakes, like Japan's magnitude-9 in 2011. So seismologists created a new scale, called the moment magnitude scale. The moment magnitude scale captures all the different seismic waves from an earthquake, giving a better idea of the shaking and possible damage.

Step-by-step explanation:

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

An angle measures 114° more than the measure of its supplementary angle. What is the measure of each angle

Answers

Answer:

33º and 147º

Step-by-step explanation:

x + (x + 114) = 180

2x + 114 = 180

2x = 66

x = 33º

x + 114 = 147º

The answer above is correct

In 1996 a town had 170 cell phone users. This number

increased by 75% each year. Which function could be used

to find the number of phone users t years after 1996?

Answers

Answer:

Step-by-step explanation:

The function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, in 1996 a town had 170 cell phone users. This number increased by 75% each year.

Let the number of phone users t years after 1996 be y

The number of phone users t years after 1996 is

y= [tex]170(1+\frac{75}{100})^t[/tex]

y= [tex]170(1.75)^t[/tex]

Therefore, the function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ5

Is (x - 1) a factor of 2x^3– 3x^2– 18x – 8?

Answers

Answer:

No.

x-1 is not a factor of the polynomial

X-1 = 0

X = 1 ........(1)

put the value of X in given equation

2 (1)^3-3(1)^2-18(1)-8=0

2-3-18-8=0

-27 is not equal to 0.

x-1 is not factor of given equation....

Which expressions are equivalent to
-90-60w?
Choose 3 answers:
A) -30(3+2w)
B) (-9-6w)•10
C) -3(30-20w)
D) (6+4w)x15
E) -20(4.5+3w)

Answers

Answer:

C

Step-by-step explanation:

-30(3+2w= the other way around

c the better way around!

Thank you make me brainliest please!

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