A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (-4, 0) and (6.0). The y-intercept of
the first parabola is (0,–12). The y-intercept of the second parabola is (0, -24). What is the positive difference between
the a values for the two functions that describe the parabolas ? Write your answer as a decimal rounded to the nearest
tenth.

Answers

Answer 1

Answer:

∆a = 1/2

Step-by-step explanation:

parabolas cross the x-axis at (-4, 0) and (6, 0)

y = a(x + 4)(x - 6)

At the y-intercept x = 0

y =  a(0 + 4)(0 - 6)

y = -24a

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

y-intercept of the first parabola is (0,–12)

-12 = -24a

a = 1/2

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

y-intercept of the second parabola is (0, -24)

-24 = -24a

a = 1

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

What is the positive difference between the a values

∆a = 1 - 1/2

∆a = 1/2

A Student Draws Two Parabolas On Graph Paper. Both Parabolas Cross The X-axis At (-4, 0) And (6.0). The

Related Questions

Which algebraic expression represents the phrase "six less than a number"?

Answers

Answer:

[tex]x-6[/tex]

Step-by-step explanation:

We can let the 'number' in the expression be equal to [tex]x[/tex]. Something 6 less than x would x minus 6, or [tex]x-6[/tex].

Answer:

x-6

Step-by-step explanation:

Let the number be x

Less than means subtract from

x-6

In the figure, p is parallel to s. Trasnversals t and w intersect at point L.
Statement

What is the missing reason in step 3?
a.) Alternate interior angles along parallel lines are congruent
b.) Alternate exterior angles along parallel lines are congruent
c.) Corresponding angles along parallel lines are congruent
d.) Vertical angles are congruent

Answers

Option C

Corresponding angles along parrellel lines are conguerent.

Answered by Gauthmath must click thanks and mark brainliest

Write an equivalent expression for each of the following. Express your answers in the form a + bi or a - bi

(5 + i)(9 + i)

Help please

Answers

Answer:

44 +14i

Step-by-step explanation:

(5 + i)(9 + i)

FOIL

first 5*9 = 45

inner: 9i

outer :5i

last: i*i = i^2 = -1

Add togheter

45 + 9i+5i -1

Combine like terms

44 +14i

With explanation please thank you

Answers

I need help in this I don’t know what’s the answer

There are 4 buses for a field trip for 4th graders and each bus accommodates the same number of students. If there are 76 students going to a trip, how many are on each bus?

Answers

Answer:

19

Step-by-step explanation:

divide 76 by 4

19 because 76 divided by 4 is 19

sinx + cos2x + sin3x + 1 =0

Answers

Step-by-step explanation:

This is true statement.

have a great day

Find the volume of the prism. Round to the nearest tenth.

Answers

Answer:

829.6

Step-by-step explanation:

Volume = sh

= (5+12) x 6.1 / 2 x 16

= 12 x 6.1/2 x 16

= 17 x 6.1 x 8

= 829.6 mi^3

Answered by Gauthmath

If i work in a week 2 days cleaning and i will work 4 hours in a day and in 1 hour is 8$ how much will it be in a year

Answers

Answer:

$3072

Step-by-step explanation:

It is given that :

I work for 4 hours everyday, working 2 days a week.

And in 1 hour , I get $8.

Therefore,

1 hour = $8

4 hours = 4 x  8

             = $32

So, in 1 day working for 4 hours, I get $32.

∴ Working 2 days = 32 x 2

                              = $64

In 1 month, there are 4 weeks

So, in 4 weeks (or 1 month), I work for = 4 x 2

                                                               =  8 days

Therefore, in 8 days, I get = 8 x 32

                                            = $256

Now there are 12 months in a year.

So, in 12 months , I will get = 12 x 256

                                            = $3072

Therefore, in 1 year , I will get $3072.

find the domain
PLEASE AND THANK YOUUUU

Answers

Answer:

The domain is all real numbers except x=0

Step-by-step explanation:

The domain is the values that x can take

x can be all real number except when the denominator is zero

x cannot be 0

The domain is all real numbers except x=0

14. What is the measure of angle wº? Show all work.

Answers

Answer:

100 degrees

Step-by-step explanation:

We can start by finding angle y, which is supplementary to 160.

180-160=20

angle y = 20 degrees.

With that, we can find angle w using the interior-exterior sangle theorem (or whatever name you use for it) which states that "the measure of an exterior angle of a triangle equals the sum of the measures of two remote interior angles". In other words:

angle w = angle y + 80

angle w = 20+80

angle w = 100.

The final answer is 100 degrees.

I hope this helped! :D

Answer:

Hello,

w=100

Step-by-step explanation:

y=180-160 (angles supplementaries)

y=20

w is a externel angle of the triangle is equal to the sum of non adjacents angles:

w=80+20=100

what is the slope of the line? please help

Answers

The slope is negative one

Answer:

Here, we see that the slope (m) equals -1.

Step-by-step explanation:

m=Rise/Run

-2/2=-1

Hope it helps:)

Mike, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Mocha Madness, which costs $12 a pound, and Sumatra Sweetness, which costs $20 a pound - to produce forty pounds of a coffee that costs $14 a pound. The beans in the mixture sell for the same price as they would separately. How many pounds of Mocha Madness coffee will Mike put into the mixture

Answers

Answer:

mocha madness = 30 pounds

Step-by-step explanation:

Let

x =  Mocha Madness

y = Sumatra Sweetness

two equations can be derived from the question

x + y = 40 equation 1

12x + 20y = 14 x 40 equation 2

Multiply equation 1 by 12

12x + 12y = 480 eqn 3

subtract eqn 2 from 3

8y = 80

y = 10

substitute for y in equation 1

x + 10 = 40

x = 40 - 10

x = 30

8y = 180

y = 10 pounds

x = 30 pounds

Find the length of x
. Assume the triangles are similar.

Answers

Answer:

44

Step-by-step explanation:

the smaller triangle is multiples of 9

(9, 18, 27, 36, 45, etc.)

and the bigger triangle is multiples of 11

(11, 22, 33, 44, 55, etc.)

Answer:

44

Step-by-step explanation:

22÷18=11/9

33÷27=11/9

x÷36=11/9

x=11/9×36

x=44

Padma cycled p km on Monday. She cycled 8 km less on Tuesday. What was the distance she cycled on Tuesday?

Answers

Distance cycled on Monday = p km

Distance cycled of Tuesday

= 8 km less than the distance cycled on Monday

= p km - 8 km

= (p - 8) km

So, distance cycled of Tuesday is (p - 8) km.

What is the value of g? ​

Answers

Answer:

56 degrees

Step-by-step explanation:

1. Notice how g is part of a right angle, which equals 90 degrees.

2. Notice how the 34 degree angle on the other side is also part of a 90 angle.

3. Notice how the 2 right angles are vertical to each other, meaning they are the same.

4. Subtract 34 from 90.

5. g=56 degrees

Hope this helps!

-Stella

I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.

*It's kind of of hard to see if g is referring to both angle degrees or not.

find the area of this rectangle

Answers

The answer is

2x^2+1x-45

the velocity of a body is increases from 10 m/s ti 15 m/s in 5seconds calculate its acceleration​

Answers

Answer:

[tex]accelaration = \frac{change \: in \: veloity}{time} \\ = \frac{15 - 10}{5} \\ = \frac{5}{5} \\ = 1 \frac{m}{ {s}^{ - 2} } [/tex]

Answer: acceleration = 1 m/s²

Concept:

Here, we need to know how to calculate the acceleration of a body.

a = Δv / Δt = (v₂ - v₁) / (t₂ - t₁)

v = velocity

t = time

unit = m/s²

Solve:

Given information

v₁ = 10 m/s

v₂ = 15 m/s

Δt = 5 seconds

Given expression

a = (v₂ - v₁) / (t₂ - t₁)

Substitute values into the expression

a = (15 - 10) / 5

Simplify values in parentheses

a = 5 / 5

Simplify by division

[tex]\boxed{a=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Can someone help me with this please

Answers

Answer:

8

Step-by-step explanation:

The amount of blocks that make up each layer would be best represented as the Length, Width and height

A number multiplied by itself 3 times = 512

8 x 8 x 8 = 512

64 x 8 = 512

512 = 512

Therefore, 8 blocks make up each layer

Answer:

B

Step-by-step explanation:

You need a number that when multiplied by itself 3 times gives you 512. So the length and width of the bottom layer must be 8 by 8 which is 64.

The layers are 8 cm high, so that's the third number you multiply together.

Volume = 8*8*8 = 64

But the answer you want is 8*8 which is 64

find the center of a circle with the equation: x^2+y^2-32x-60y+1122=0

A. (24, 30)
B. (13, 20)
C. (14, 28)
D. (16, 30)

Answers

Answer:

-32x-60y+1122=0

-(32x+60y-1122)=0

32x+60y-1122=0

by factorize

Answer:

24,30

Step-by-step explanation:

Which line is parallel to the line given below?
x - 3y = 24
a. y = -x + 3
b. y = -3x - 1
c. y = 3x + 8
d. y=-x-4

Answers

Answer:

x - 3y = 24

B. y = -3x - 1

Step-by-step explanation:

Hope it helped.

° ° °

Correct answer gets brainliest and 5 star

Answers

Answer:

d

Step-by-step explanation:

Answer:

option D

Step-by-step explanation:

the formula for slope is: y = mx + b

where m = slope & b = y intercept

so in y = -2x + 1,

m (slope) = -2     &      b (y-int) = (0,1)

18) Mala gave Kamala half the number of sweets she had. She then had 7 sweets left. How many sweets did Mala have at the start?​

Answers

Answer:

Mala had 14 sweets at the start.

Step-by-step explanation:

7 x 2 = 14

To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)

Financial maths-- multiple choice!!!
What is the risk associated with electronic money management that can arise from a bank not having enough cash on hand?

solvency
liquidity
credit risk
operational risk

Answers

Answer:

liquidity

Step-by-step explanation:

when the bank gets only electronic money transfers, they don't get actual money. so, they can use that only for other electronic transfers, but if there is the need for actual money (e.g. a lot of people need a cash payout), the bank is then not able to do that. they don't have enough cash = they are not liquid.

which can actually lead to insolvency.

WHAT IS ANOTHER NAME FOR NATURAL NUMBERS?

PLs answer!

Answers

Answer:

Natural Numbers (N), is also called positive integers, counting numbers, or natural numbers.

✌✌✌✌

Answer:

Another name of natural number is called counting number.

f) 60 students in a hostel have food enough for 30 days. If 20 more students join the hostel after 10 days, how long will the remaining food last?

Answers

Answer:

Hello,

10 days

Step-by-step explanation:

60 étudiants dans un foyer ont assez de nourriture pour 30 jours. Si 20 étudiants supplémentaires rejoignent l'auberge après 10 jours, combien de temps durera la nourriture restante ?

Let say A the quantity of food

60 students in a hostel have food enough for 30 days ==> A=k*60*30

==> k=A/1800

Let say x the duration of the food.

60 students for x days + 20 students for (x-10) days =A

[tex]k*60*x+k*20*(x-10)=A\\[/tex]

[tex]\dfrac{A*60*x}{1800} +\dfrac{A*20*(x-10)}{1800} =A\\\\60x+20x-200=1800\\\\80x=1600\\\\x=20\\[/tex]

Duration for the 80 students: 20-10=10days

Questions
Steve played a car race game. He gained some points, lost 27 points, and
finished with less than 400 points. Which of the following inequality
represents the given situation?
A.)X - 400 < 27
B.)x + 27 < 400
C.)X - 27 > 400
D.) X - 27 < 400

Answers

I think it’s c

Can I have brainliest ?

According to the information we can infer that the correct inequality that represents the given situation is D.) X - 27 < 400.

Which inequality does represent the given situation?

Let's break down the information provided: Steve gained some points, lost 27 points, and finished with less than 400 points. To represent the number of points Steve had initially, let's use 'X'.

After gaining some points, his total would be X + G, where G represents the gained points.After losing 27 points, his total would be X + G - 27.

Since he finished with less than 400 points, we can express this as X + G - 27 < 400.

Simplifying the equation, we get X - 27 < 400.

According to the above we can conclude that the correct inequality that represents the given situation is D.) X - 27 < 400.

Learn more about inequality in: https://brainly.com/question/20383699
#SPJ2

The distance between points A(0,1) and B(x, 4) is p

34. Find the x coordinate for point B.

Answers

Answer:

X = (P^2 - 9) ^ 1/2

Step-by-step explanation:

P^2 = (4 - 1)^2+ (0 -X)^1/2

Geometry, please answer question ASAP

Answers

9514 1404 393

Answer:

  C.  16

Step-by-step explanation:

UV is a diameter of the circle. If it is perpendicular to the chord XS, then it bisects that chord. This means ...

  XT = TS

  3b -1 = b +5

  2b = 6

  b = 3

  TS = b +5 = 8

The chord length is 2·TS = 2·8 = 16 units.

Answer:

C,XS=16

Step-by-step explanation:

3b-1=b+5

3b-b=5+1

2b=6

b=6/2=3

TS=b+5=3+5=8

XS=2 TS=2×8=16

Find the angle that has tangent,1.000.Give your answer correct to two significant figures​

Answers

Answer:

Step-by-step explanation:

Degrees   Radians   tangent

60°      π/3         √3

45°            π/4                     1

30°           π/6                 1/√3

0°            0                   0

If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P, then sin() = Incorrect: Your answer is incorrect. cos() = tan() = .

Answers

cos(a) = x/r

sin(a) = y/r

tan(a) =  y/x

In the image at the end, you can see a sketch of the situation, we can model this with a triangle rectangle:

The hypotenuse length is equal to r, the adjacent cathetus to the angle is the x-value, and the opposite cathetus to the angle is the y-value.

Now we can remember the trigonometric relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse)

tan(a) = (opposite cathetus)/(adjacent cathetus)

Using what we wrote above, we can rewrite these as:

cos(a) = (adjacent cathetus)/(hypotenuse) = x/r

sin(a) = (opposite cathetus)/(hypotenuse) = y/r

tan(a) = (opposite cathetus)/(adjacent cathetus) = y/x

if you want to learn more about this topic, you can read:

https://brainly.com/question/24297646

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