Mathematics Middle School

the equation of a quadratic function represented by the graph is y=a(x-3)^2-1. what is the value of a?

Answers

Answer 1
When attempting to find the value of a variable, our first step is to isolate the variable. In this case, the variable is a. To do this, we must divide each side by factors that do not contain the variable. After completing this step, we quickly note that x and y will be on the same side of the equal sign: 

a = [tex] \frac{y}{(x-3)^2} [/tex] + [tex] \frac{1}{(x-3)^2} [/tex] 

Related Questions

Hannah got a perfect score on 3 more spelling quizzes this quarter than last quarter . If she doubles the number of perfect quizzes she had this quarter , she will tie the school record. The record is 3 times the number of spelling quizzes hannah scores perfectly on last quarter.

Answers

First, underline the key numbers

n=Perfect Quizzes last quarter

x=School record

n+3

3•2=x

Now we solve that

3•2=6

Now we know, x=6

If the record (6) is 3 times the number of spelling quizzes Hannah scored perfectly last quarter (n), then we know we have to divide the record (6) by 3 to know how many perfect quizzes were from last quarter.

6/3=2 so, n=2

The number of perfectly scored quizzes from last quarter is 2.

Find the value of x. Round to the nearest tenth of a unit. Both 9 and 10 please.

Answers

Problem 9
By definition,
[tex]tan 22^{o} = \frac{203}{x} \\ 0.404 = \frac{203}{x} \\ x = \frac{203}{0.404}= 502.44[/tex]

Answer: 502.4 m

Problem 10
From geometry, the angle opposite x is 27°.
By definition,
[tex]sin 27^{o} = \frac{x}{580} \\ 0.454 = \frac{x}{580} \\ x=(580)(0.454)=263.32 [/tex]

Answer: 263.3 yd

Answer:

1A

2D

3D

4A&D

5D

6C

7A

8C

9C

10A

AND also this one here.

Answers

1. 319
2. 77
3.60
4.c
I hope it helps

The newest cellular phone costs $784.26 after a 5.5% sales tax is applied. What is the cost of the cellular phone before sales tax? (A) $739.19 (B) $743.37 (C) $752.96 (D) $768.42 (E) $781.62

Answers

The cost before tax is $743.37

To what place is 220.0 accurate?


1) tens

2) tenths

3) hundreds

4) hundredths

Answers

the answer of the question is tens

The base of a 15-ft ladder is 5 ft away from a wall. How high from the floor is the top of the ladder?

Answers

Answer:
Distance from the top of the ladder to the floor = 14.14 ft

Explanation:
The ladder forms a right-angled triangle with the floor and the wall where:
The ladder is the hypotenuse = 15 ft
The distance between the ladder and the wall is the base = 5 ft
We will use the Pythagorean theorem to get the third side of the triangle which represents the distance between the top of the ladder and the floor as follows:
15^2 = 5^2 + distance^2
Distance^2 = 225-25 = 200
Distance from the top of the ladder to the floor = sqrt(200) = 14.14 ft

Hope this helps :)

a gym has 275 members 40% are bronze members 28% are silver members the rest are good work out the gold members

Answers

STEP 1:
Find % of gold members. Subtract the known % of bronze and silver members from 100%.

x= percent of gold members

x= 100% - (40% +28%)
x= 100% - 68%
x= 32% percent of gold members


STEP 2:
Find number of gold members. Multiply % of gold members by the total numbers of members (275).

x= # of gold members

x= 275 * 32%
x= 275 * 0.32
x= 88 gold members

Hope this helps! :)

A farmer charges for his coffee beans using the equation C=3.95p, where C is the cost of the coffee beans and p is the number of pound of coffee beans. What is the slope?

Answers

3.95 kkkkkkkkkkkkkkkkkkkkkkkkkkk


\

2/3x+1/3y=2 in graph

Answers

Solve for y:


[tex]\dfrac{2}{3}x+\dfrac{1}{3}y=2\ \ \ \ |\cdot3\\\\2x+y=6\ \ \ \ |-2x\\\\y=-2x+6[/tex]


It's the slope intercept form of a straight line.

We need only two points to draw a straight line.


[tex]for\ x=0\to y=-2(0)+6=0+6=6\to(0;\ 6)\\for\ x=3\to y=-2(3)+6=-6+6=0\to(3;\ 0)[/tex]


Look at the picture.

Daphne purchased a home for $296,000. She put 20% down with a mortgage rate of 6% for 30 years. What's Daphne's monthly payment?

Answers

Help me on my newest problem no one wjll
A = P*i/(1 -(1 +i)^-n)
where A is the payment, P is the financed amount, i is the periodic interest rate, and n is the number of periods.

A = (0.8*296000)*.005/(1 -(1.005)^-360) = 1419.74

Daphne's monthly loan payment will be $1419.74.

The table shows the amounts of two ingredients Tara used to make a snack mix. She ate 5/8 cup of the snack mix for lunch. How much of the mix is left? Show how you solved.

Answers

5/8 are eaten

So if you do 8/8 - 5/8 you get 3/8

In this exercise we have to use the knowledge of division, that is, how much is left of a certain food that is found in terms of fraction, in this way we can say that:

[tex]3/8[/tex] left.

So to calculate this exercise, we have to use the total amount minus the amount eaten to find what's left, so we have to:

[tex]8/8-5/8=3/8[/tex]

See more about fraction at brainly.com/question/1301963

randy bought 6 candy bars for $8.28 what is the cost per candy bar?

Answers

Randy paid $1.38 per candy bar
Well to make this simple... all we have to do is divide.

6 divided by 8.28 equals 1.38

Each candy bar is a dollar thirty eight.

Hope this helps! Please let me know if you need further explanation.
~Brooke❤️

Solve the quadratic equation by completing the square x^2+6x-5=0

Answers

x^2 +6x -5 = 0
x^2 +6x = 5 . . . . . add 5
x^2 +6x +9 = 14 . . . add 9
(x +3)^2 = 14 . . . . . . write left side as square
x +3 = ±√14 . . . . . . . take the square root
x = -3 ±√14 . . . . . . . subtract 3

Selection C is appropriate.

A tech support manager ran virus detection software on a random sample of 750 computers. The software identified that 200 of the computers had a virus.

To the nearest percent, what is a good estimate of the percentage of all computers at this company that have a virus?

Enter your answer in the box.
And please explain how did you got the answer

Answers

the answer is exactly 26.666666666666666666666666666667%
to get this you divide the second number by the first and multiply by 100
hope this helps! :^)

Answer:

27%

Step-by-step explanation:

I really think it is 27%

How can you use mental math to find the percent of a number?

Answers

Every percent of that number is 1/100 of that number 
Example 30, 1/100 of 30 is .30
Example 100, 1/100 of 100 is 1
Example 52, 1/100 of 52 is .52

Bobbys collection of sports cards has 3/10 baseball cards and 39/100 football cards the rest are soccer cards what fraction of bobbys sports cards are baseball or football cards

Answers

69/100 are baseball or football cards
6.9 out of  10 or 69/100 since 30 plus 39 equals 69. 
The remianing is 3.1/10 or 31/100

need help again asapp

Answers

cylinder = 3 * 3 *14 = 126

cone = 126/3 = 42
 

total = 126 +42 = 133 cm^3

How long would it take to travel 924 miles at the rate of 42 miles per hour? A12 h B22 h C24 h D42 h asap plz

Answers

your answer is B22 
924/42=22
The answer would be 22

Find the value of x. Round to the nearest tenth degree. Please help!!!

Answers

The answer is 20 degrees
You can calculate the angle "x" of the right triangle (It has a angle of 90°) as follows:

 Sin(x)^-1=opposite leg/hypotenuse

 The opposite leg is 5 and  the hypotenuse is 14

 2. Let's substitute in the formula:
 Sin(x)^-1=opposite leg/hypotenuse
 Sin(x)^-1=5/14
 x=21°
 Then, the answer is: The value of x is 21°

The youth center has another mural painted inside the building. If the original painting is 3 feet by 2 feet, and the mural is 15 feet by 10 feet, what is the scale comparing the painting to the mural?

a) 3ft:10ft
b) 1ft:5ft
c) 1ft:3ft
d) 2ft:15ft

Answers

he scale is determined by dividing the respective measures of the two paintings.

Original painting           mural       scale factor
3                                    15            original / mural = 3 / 15 = 1 / 5
2                                    10            original  / mural = 2 / 10 = 1 / 5 
As you see the scale to comparing the original to the mural es   1 feet : 5 feet.   
It  means that the measures of the original painting must be multiplied by 5 to obtain the measures of the mural.


Problem -
Gretchen is setting up for a banquet. She has 300 chairs and needs to distribute them evenly among t tables.
How many chairs should she put at each table?
Write your answer as an expression.

Answers

Answer:

The expression is 300÷t.

Step-by-step explanation:

Number  of chairs Gretchen has = 300.

Number of tables Gretchen has = t.

It is given that the chairs are evenly distributed among the given number of tables that is each table will have the equal number of chairs.

The number of chairs she should put can be found by the expression 300÷t.

Final answer:

Gretchen should distribute 300 chairs evenly across t tables, which is represented by the expression 300 / t, where t is the number of tables.

Explanation:

To solve the problem of how many chairs Gretchen should put at each table, we need to distribute the total number of chairs evenly among the tables. The expression for this will be:

Chairs per table = Total number of chairs / Number of tables

In Gretchen's case, she has a total of 300 chairs that need to be distributed evenly. Therefore, the expression is:

Chairs per table = 300 / t

Here, t represents the total number of tables. We do not know the exact number of tables, as it is not provided in the question, so we use t as a variable to represent this unknown value.

Help me on the first question pls

Answers

To do the first question, simplify the equation, putting like terms together, by adding and subtracting to do this.

Then looking at the equation that you solved for, look and see if there are any other equations that are related in some way to the original solved equation.

Pay close attention to the positive and negative signs.






If Dawn can buy 5 pounds of apples for $12.45, how many pounds can she buy for $1.00? Express your answer as a decimal and round to the nearest tenth of a pound.



plzzzzzzzzzzzzzzzzzzzzz helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

$2.49

Hope this helps!

Dawn can buy 5 pounds of apples for $12.45

We have to find how many pounds can she buy for $1.00

Now cost price for 5 pounds = $12.45

In $12.45 , Dawn can buy 5 pounds of apple

So, In $ 1 , Dawn can buy 5/12.5 pound of apple

= 0.4 pound of apple

Therefore dawn can buy 0.4 pound of apple for $1.00

Hope this helps..!!

Thank you :)

A tabletop in the shape of a trapezoid has an area of 5,658 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 65 centimeters. What is the height?
The height of the tabletop is
centimeters.

Answers

The formula for finding the area of a trapezoid is: sum of bases*height*1/2
By plugging in the information that we already have, we know: (119+65)*height*1/2=5658
184*1/2*height=5658
92*height=5658
height=61.5cm.

Check:
119+65=184
184*61.5=11316
11316*1/2=5658

**PLEASE HELP ASAP** Betsy is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

Yes, at positive x-coordinates
Yes, at negative x-coordinates
Yes, at negative and positive x-coordinates
No, they will not intersect

Answers

We analyze the chart and observe that the linear function is [tex]y=x[/tex], since this relation holds for all values in the table.  Drawing this line over the quadratic function shows that they intersect twice, at both the positive and negative x-coordinates.

This is by far the easiest way to solve this problem, but if you're interested in learning how to do it algebraically, read on!  To prove this more rigorously, we can find that the equation of the parabola is [tex]y=\frac13 x^2 - 2.[/tex]  Substituting in [tex]y=x[/tex], we find that the intersection points occur where [tex]\frac13 x^2 - 2 = x[/tex], or [tex]\frac13 x^2 - x - 2 = 0,[/tex] or [tex]x^2 - 3x - 6 = 0.[/tex]

This equation doesn't factor nicely, so we use the quadratic formula to learn that [tex]x = \frac{3 \pm \sqrt{3^2 - 4 \cdot 1 \cdot (-6)}}{2} = \frac{3 \pm \sqrt{33}}{2}.[/tex]  Hence, the x-coordinates of the intersection points are [tex]\frac{3 + \sqrt{33}}{2}[/tex], which is positive, and [tex]\frac{3 - \sqrt{33}}{2}[/tex], which is negative.  This proves that there are intersection points on both ends of the axis.

Answer:

C. Yes, at negative and positive x-coordinates

Step-by-step explanation:

I got it right on the test.

Hope this helps :)


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Help...T-T

Answers

Answer:

yea

Step-by-step explanation:

Answer:

We cant see anything

Step-by-step explanation:

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation?

Answers

A system of equations with infinitely many solutions is a system where the two equations are identical. The lines coincide. Anything that is equal to [tex]3y=2x-9[/tex] will work. You could try multiply the entire equation by some number, or moving terms around, or adding terms to both sides, or any combination of operations that you apply to the entire equation.

You could multiply the whole thing by 4.5 to get [tex]13.5y=9x-40.5[/tex]. If you want, you could mix things up and write it in slope-intercept form: [tex]y= \frac{2}{3}x-3[/tex]. The point is, anything that is equivalent to the original equation will give infinitely many solutions x and y. You can test this by plugging in values x and y and seeing the answers! 

The attached graph shows that four different equations are really the same.

Answer: pretty sure it´s B

Please help with all of my work QUESTIONS:5,6,7,and 8

Answers

5.
A. True, because it says (1/2) .5 and you multiply that by 2/3 and you get 1/3
B. True, because it says 1/3 and you multiply that by .5  or 1/2
C. False, Because there are 15 pear trees
D. True, there are 15 peach trees

6.
You have do 12 x 6 to get a common denominator and that equals 72.
You then have to multiply the numerators 5 x 72 = 360.
You then have to divide 360 by 6 which = 60.


Elizabeth can run 3/4 mile in 1/10 of an hour. What is her speed in miles per hour?

Answers

0.75 miles per hour I think....

Final answer:

Elizabeth's speed in miles per hour is calculated using the formula for speed, which is distance divided by time. By setting up the proportion with the given numbers, it's determined that Elizabeth runs at a speed of 7.5 miles per hour.

Explanation:

To calculate Elizabeth's speed in miles per hour, we need to use the information that 3/4 mile is covered in 1/10 of an hour and then find out how many miles would be covered in one full hour. To do this, we set up a proportion where the distance (miles) is divided by the time(hours).

The formula for finding speed is:

Speed = Distance / Time

Using the given numbers:

Speed = (3/4) miles / (1/10) hour

By performing the division, we get:

Speed = (3/4) × (10/1) miles/hour

Speed = (30/4) miles/hour

Speed = 7.5 miles/hour

Therefore, Elizabeth runs at a speed of 7.5 miles per hour.

A number increases from 30 to 45 and then decreases from 45 to 36. What is the difference between the percent of increase and the percent of decrease?

Answers

There’s a 30% difference between the percent of increase and percent of decrease. There is a 50% increase when it goes from 30 to 45. And a 20% decrease from 45 to 36.

Answer:

30%

Step-by-step explanation:

The increase was 15/30 = 50%,

The decrease was 9/45 = 20%.

50% - 20% = 30%

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