Find a so that the point (-1,3) is on the graph of f(x) = ax^2 + 2

Answers

Answer 1

Answer:

a = 1

Step-by-step explanation:

Plug in the point into the equation, then solve for a:

f(x) = ax² + 2

3 = a(-1²) + 2

3 = a + 2

1 = a

So, a = 1

Answer 2

The points on a graph are the true values of the graph

The value of a is 1

The equation is given as:

[tex]f(x) = ax^2 + 2[/tex]

At point (-1,3), the equation becomes

[tex]3 = a(-1)^2 + 2[/tex]

Evaluate the exponent

[tex]3 = a(1) + 2[/tex]

This gives

[tex]3 = a + 2[/tex]

Subtract 2 from both sides

[tex]a =1[/tex]

Hence, the value of a is 1

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Related Questions

What is the solution: 5x + 17 = 3x + 53

Answers

Answer:

x=18

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

sam walked 5 laps in 30 minutes his brother walked 3 laps in 30 m minutes what is the ratio of the nummber sam walks to the nummber his brother walkes

Answers

Answer:

5 : 3

Step-by-step explanation:

Given that :

SAM:

Walks 5 laps in 30 minutes

SAM'S BROTHER:

walks 3 laps in 30 minutes

Ratio of the number of laps Sam walks to that which is brother walks :

In 30 minutes the ratio of the number of laps walked by Sam to that of his brother is :

Sam's laps : brother's laps

5 : 3

Find A u B. Proof not needed

Answers

Answer:

D

Step-by-step explanation:

Kerri earns $15 an hour tutoring. Last month she tutored for the following number or hours each week: 2 hours, 3 hours, and 4 hours

Answers

$15 per hour
9 hours tutoring

15 * 9 = 135

The total amount of money earned by Kerri is $135.

Given that, Kerri earns $15 an hour tutoring.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the total amount of money earned by Kerri be x.

Now, total number of hours = 2+3+4=9 hours

Total money = Number of hours worked × Amount earned in an hour

x=9 × 15

⇒ x = 135

Therefore, the total amount of money earned by Kerri is $135.

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Avi’s dining room measures 124 square feet and is in the shape of a square. Which is the best estimate of the length of one side of the room, to the nearest tenth of a foot?
10.7 feet
10.9 feet
11.1 feet
11.4 feet

Answers

Answer:

11.1 feet

Step-by-step explanation:

because the formula for area of a square is A=L^2

so in this situation you would square root the 124 square feet, since all 4 sides are equal lenths

Answer:

The answer is C, 11.1 feet.

Step-by-step explanation:

To figure this out, you would estimate the square root of 124, since a square has sides of equal length. Your estimate would be closest to 11.1. I hope my answer helps, and if it does not, please leave a comment below, so that I can fix it.

A thin wire 40 CM long is formed into a rectangle if the width of this rectangle is 8 CM what is length and area

Answers

Given:

Length of a wire = 40 cm.

Breadth of the rectangle formed = 8 cm.

Find:

length and area of rectangle.

Solution:

Length of a wire = 40 cm.

A rectangle is made from this wire.

That means,

Perimeter of the rectangle formed = length of the wire.

Also,

Breadth of the rectangle formed = 8 cm.

We know that,

Perimeter of a rectangle = 2(length + breadth).

Let the length of the rectangle be x cm.

Hence,

→ 2(x + 8) = 40

→ 2x + 16 = 40

→ 2x = 40 - 16

→ 2x = 24

→ x = 24/2

→ x = 12

Hence,

Length of the rectangle formed = x = 12 cm.

Now,

We know,

Area of a rectangle =length * breadth

→ Area of the rectangle = (12) * (8)

→ Area of the rectangle = 96 cm²

Therefore, the area of the rectangle formed is 96 cm².

I hope it will help you.

Regards.

-3, square root of 31, square root of 11, 5.5, and -60/11 in least to greatest.

I already made a question about it, but it wont let me see the answer and i have no idea how to do it :(

Answers

Answer:

I think is a apple and stuff

Step-by-step explanation:

carrot

-60/11, -3, square root of 11, 5.5, square root of 31! Hope this helps :) If you want to know how I did it, I calculated what each of these numbers would be (like what the square root of 31 is for example) and after i had all the values I just put them in order from least to greatest!

Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same? 2 3 4 5

Answers

Answer:

The indifference point is 5 months.

Step-by-step explanation:

First, we need to structure the total cost formula for each fitness center:

Community center= 60x

Work center= 100 + 40x

x= number of months

Now, we equal the formulas and isolate x:

60x = 100 + 40x

20x = 100

x= 5

The indifference point is 5 months.

Answer: the answer is 5 or d


[tex]5x + 15 \leqslant - 10 [/tex]
help me please.​

Answers

Step-by-step explanation:

[tex]5x + 15 \leqslant - 10 \\ 5x \leqslant - 10 - 15 \\ 5x \leqslant - 25 \\ x \leqslant - 25 \div 5 \\ x \leqslant - 5[/tex]

what is the least common multiple of 3 and 21 please help quickly​

Answers

Answer:

21

Step-by-step explanation:

Answer: LCM(3,21) = 21

Step-by-step explanation:  Least common multiple or lowest common denominator can be calculated in two ways, with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

hey babies , help me pleaseee

Answers

Answer:

F can be at 19 or -5

Step-by-step explanation:

If F is on positive number line, F-E=12

F=12+7=19

If F is on negative number line, E-F=12

-F=12-7=5, F=-5

In Buffalo, New York, the temperature was 20 degrees in the morning. By
6:00pm the temperature had dropped to 8 degrees below zero, what is
the difference between the highest and the lowest temperature? -28 28 12 -12 can someone tell me the answer.

Answers

Answer:

28

Step-by-step explanation:

In the morning, the temperature was 20 degrees

By 6pm, we have a drop to 8 degrees below 0, that will be -8

So the temperature difference will be;

20-(-8)

= 20 + 8 = 28

Hey guys, I need help with this algebra assignment. Any answers will help! I’d be happy to give you brainliest for whoever helps me. Also please show your work, Problems are in the pictures :)

Answers

Answer:

1. The slope is -5x and the y-intercept is 4

2. The slope is 0 and the y-intercept is 4

3. The slope is -3x and the y-intercept is 2

A system of linear equations that has no solution is a set of
equations
A) Consistent
B) Inconsistent

Answers

Answer:

Inconsistent

Step-by-step explanation:

A system of linear equations that has at least one solution is called consistent, whereas a system of linear equations that has no solutions is called inconsistent.

A system of linear equations that has no solution is a set of inconsistent equations.

The correct answer is an option (B)

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is system of equations?

"It is a set of equations for which we find a common solution."

What is consistent system of equations?

"A system of equations is consistent if there is at least one set of values that satisfies each equation in the system."

What is inconsistent system of equations?

"A system of equations is inconsistent if there is no solution to the given system of equations."

From the definition, we can see that the system of equations is inconsistent if a system of equations has no solution.

Therefore, A system of linear equations that has no solution is a set of inconsistent equations.

The correct answer is an option (B)

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PLZ HELP I REALLY NEED IT FAST

what is 786 700 000 in scientific notation

Answers

Answer: 7.867 x 10^8

Step-by-step explanation:move the decimal forward and how many times you moved it is your exponent

I need to show my work to solve this equation and get an inequality at the end please help im confused ​

Answers

Answer:

You need to make $21 a day

Step-by-step explanation:

12d=250: you want $250 total, and you charge $12 for every delivery (d)

Divide 250 by 12, which is 20.83333... so thats 21

What is the integral of sin(x)^-1?

Answers

Answer:

square root of (1-x^2) + C

Step-by-step explanation:

Use integration by parts...

three numbers have absolute values of 2, 4, and 6. The product of all the numbers is positive.
Find the product.

Answers

Answer:

i must say product means we have to multiple 2×4×6 that give 48

Step-by-step explanation:

happy Halloween

Question 20
Using your equation from the previous question, find the measures of the two marked angles.



A
56° and 56°

B
40° and 40°

C
65° and 115°

D
75° and 105°

Answers

It’s absolutely not B do cross that out and it cant be A so cross that out The Answer is C.

Is the sum of the areas of two smaller squares equal to the area of a large square if the side lengths of the squares are 8 feet, 5 feet, and 3 feet? Note that the area of a square is s2, where s is the side length. Explain.

Answers

Answer:

No, the sum of the areas of two smaller squares is not equal to the area of a larger square if the lengths of sides of the squares are 8 feet, 5 feet and 3 feet.

Step-by-step explanation:

WE know that the area of a square is A = s² where s = length of side of the square. Now, since we have squares of varying sides of 8 feet, 5 feet and 3 feet respectively, we want to determine if the areas of the two smaller squares equals that of the larger square. Let A = area of 8 feet side square, A' =  area of 5 feet side square and A" =  area of 3 feet side square. We want to show if A = A' + A".

Now A = (8 ft)² = 64 ft²

A' = (5 ft)² = 25 ft² and

A" = (3 ft)² = 9 ft²

A' + A" = 25 ft² + 9 ft² = 36 ft²

Since L.H.S = 64 ft²and R.H.S = 36 ft²

So,  64 ft² ≠  36 ft²

L.H.S ≠ R.H.S

So, the sum of the areas of two smaller squares is not equal to the area of a larger square if the lengths of sides of the squares are 8 feet, 5 feet and 3 feet.

how many foods need a rest time

Answers

Answer:

larger meats

Step-by-step explanation:

depends how long and howuch they weigh

Write an equation and show your work: There were five different Foil Kites that each descend 50 feet per second for 5 seconds. Find the total change in altitude for all 5 kites.

Answers

Answer: Change in altitude = (50 x 5) feet

The total change in altitude for all 5 kites. = 250 feet

Step-by-step explanation:

Given : Rate of descent = 50 feet per second  (speed)

Time = 5 seconds

Since, distance = speed x time

Change in altitude = Rate of descent x Time

Change in altitude = 50 x 5 feet  [required equation]

= 250 feet

Hence, the total change in altitude for all 5 kites. = 250 feet

Which equation could be used to find the value of x in the triangle below?
4x + 10
6x - 10
А
12x + 20 = 180
B
12x = 180
С
12x - 20 = 180
D
8x - 10 = 4x + 10

Answers

Answer:

B

Step-by-step explanation:

4x+10+6x-10+2x=180°

4x+6x+2x=180°+10-10

12x/12=180°12

x=15° check :

4x+10+6x-10+2x=180° then x=15°

4*15+10+6*15-10+2*15=180°

60+10+90-10+30=180°

180°=180°

The equation representing the value of x is 12x + 20 = 180

What is a triangle?

A triangle is a polygon with three edges and three vertices.

Given that, a triangle having interiors angles,  2x, 4x + 10 and 6x - 10

We know that, the sum of the interior angles of the triangle = 180°

Therefore,

2x + 4x + 10 + 6x - 10 = 180°

12x + 20 = 180°

Hence, the equation representing the value of x is 12x + 20 = 180

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plzzzz help meeeeeeeeeeee

Answers

Answer:

The one on the left is your anwsers

Step-by-step explanation:

i need help how is 5 + 5 + 5= 550

Answers

Answer:

Turn one of the plus signs into a 4, making it 545+5=550

Step-by-step explanation:

Please answer A.S.A.P

Answers

Answer:y=28

Step-by-step explanation:

Y=20 let me know if you need an explanation ❤️

Is my work right? Please tell me I’ll give brainliest !!!

Answers

Answer:

Yes Your Work Is correct.

James King

Hope This Helped

Have A Great Day

Answer:

it looks good to me!?

and your hand writing is amazing

Step-by-step explanation:

which of these is correct unit for acceleration ?​

Answers

Answer: meters per second squared

Step-by-step explanation: Acceleration is measured in meters per second squared, m/s 2. When you multiply a kilogram (mass unit) times a meter per second squared (acceleration unit) you get a kilogram-meter per second squared.

Meters per second squared

Brainliest will be given

Answers

Answer:56i

Step-by-step explanation:the answer is 56i

Answer:

12x+-27

Step-by-step explanation:

3 times 4x is 12x then -9 times 3 is -27, and 12x-27 is the same as 12x+-27.

NEED HELP ASAPP!!!!!!!!!!!!!!!

Answers

Answer:

fhsvbhbbsbsjkbjk

Step-by-step explanation:

i cant see its blurry

Your picture is blurry I can’t see the world problem clearly.
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