Please help!!
Without graphing, explain how you know the equation
y = - 1/2x^2 - 7 will be compressed
(compared to the parent function of y=x^2).

Answers

Answer 1

Answer:

The absolute value of the quadratic term,  [tex]\left | -\dfrac{1}{2} \right |[/tex] is less than 1

Step-by-step explanation:

The given function is y = (-1/2)·x² - 7

The parent function is y = x²

The vertical compression or stretching of a quadratic function is given by the value of the coefficient, a, of the quadratic term, x² of a quadratic function, a·x²

A quadratic function is vertically compressed if the coefficient, [tex]\left | a \right |[/tex] < 1.

In the given function, y = (-1/2)·x² - 7, the absolute value of the coefficient of the quadratic term, [tex]\left | -\dfrac{1}{2} \right |[/tex] < 1, therefore, the equation, y = (-1/2)·x² - 7, will be vertically compressed compared to the parent function, y = x².


Related Questions

PLZ HELP!! ASAP PLZ!! NO FILES.

Answers

Answer:

Slope is (1/4)

Step-by-step explanation:

The slope is calculated by (6-5)/(5-1)=1/4

Someone please answer B for me 15 Points marking brainliest

Answers

Step-by-step explanation:

since you have figured out A already, what is the problem with B ? you "only" need to calculate the perimeter of the shape.

basically the same assumptions as for the area calculations :

the "inner" sides are truly parallel to the line outer sides, so that they are both 12-4=8 m long.

and I assume here in addition that the side with the tiles in front contains a door, which is usually 1 m wide. and for that length we don't need trim of the baseboards (as there are none, where there is a door).

so the needed trim is

12+12+4+8+8+(4-1) = 24+4+16+3 = 47 m

but if my assumption about the door is wrong, then you need to add an additional meter. = 48 m.

and if the side with the tiles does not need any baseboards and corresponding trim at all (for whatever reason), you need to subtract that side completely. = 44 m

Becky bikes 6 miles in 24 minutes. At the same rate, how many miles would she bike in 60
minutes?

Answers

Answer:

10 miles

Step-by-step explanation:

6 in 24 min 6÷24=4

60÷6 =10

Answer:  15 miles

=======================================================

Here's one approach:

(6 miles)/(24 minutes) = (x miles)/(60 minutes)

6/24 = x/60

6*60 = 24*x

360 = 24x

24x = 360

x = 360/24

x = 15

She travels 15 miles in 60 minutes (aka 1 hour). So we can say her speed is 15 mph.

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

Here's another approach:

If she travels 6 miles in 24 minutes, then her unit rate is distance/time = 6/24 = 1/4 = 0.25 miles per minute.

So if she travels for 60 minutes, then she'll cover a distance of 60*0.25 = 15 miles

69 POINTS !!!!!!!
Which of the following describes the matrix?

[8 9 4]
[5 2 6]
[3 1 7 ]


3×3
3×9
9×3
2x3

Answers

Answer:  Choice A)  3x3

The 3x3 refers to the number of rows and the number of columns in that order.

As another example, this matrix

[tex]\begin{bmatrix}1 & 7 & 9\\13 & 41 & 2\\5 & 8 & 7\\92 & 3 & 5\end{bmatrix}[/tex]

is a 4x3 matrix because it has 4 rows and 3 columns.

Help pleaseee, I’ll give brainly!

Answers

Answer:

1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6

2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4

3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5

4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4

5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8

6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8

7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7

8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6

9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11

10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1

11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14

20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1

12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3

I hope I helped you^_^

Answer:

1.

6r + 7 = 13 +7r

6r - 7r = 13-7

-r = 6

r = 6

2.

13 - 4x = 1-x

-4x +x = 1 -13

-3x = -12

x = -12 / -3

x = 4

3.

-7x - 3x + 2 = -8x -8

-10x +2 = -8x -8

-10x +8x = -8 -2

-2x = -6

x = -6 / -2

x = 3

4.

-8 - x  = x- 4x

-8 - x  = -3x

-x + 3x = -8

2x = -8

x = -8 / 2

x = -4

5.

-14 + 6b + 7 -2b = 1 + 5b

-7 + 4b = 1 + 5b

4b - 5b = 1 + 7

-b = 8

b = -8

6.

n + 2 = -14 -n

n + n = -14 -2

2n = - 16

n = -16 / 2

n = -8

7.

n - 3n = 14 -4n

-2n = 14 - 4n

-2n +4n = 14

2n = 14

n = 14 /2

n = 7

8.

7a - 3 = 3 + 6a

7a - 6a = 3 +3

a = 6

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

Solve for p.

19p–2p+16p+12=

18
p=

Answers

Answer:

6

BRAINLIEST, PLEASE!

Step-by-step explanation:

-19p - 2p + 16p + 12 = -18

-5p + 12 = -18

-5p = -30

p = 6

Answer:

p = 6

Step-by-step explanation:

Given

- 19p - 2p + 16p + 12 = - 18 ( simplify left side )

- 5p + 12 = - 18 ( subtract 12 from both sides )

- 5p = - 30 ( divide both sides by - 5 )

p = 6

Can someone help with number 4 please? Due in 15 mins!!

Answers

Answer:

A. AG = 2 × GD

F. GE = (1/2) × BG

Step-by-step explanation:

The given point G on triangle ΔABC, which is the point of intersection of the medians of the triangle, is the centroid of the triangle

The centroid divides each median line in the ratio 2:1, therefore, we have;

The length of AG = 2 × GD, CG = 2 × GF, and BG = 2 × GE

∴ GE = (1/2) × BG

Therefore, the correct options are;

A. AG = 2 × GD, and F. GE = (1/2) × BG

in 16 years, Marissa will be five times older than she is today. How old is she?

Answers

Answer:

4

Step-by-step explanation:

1 5

2 10

3 15

4 20

i wrote it out

x+16=5x

16=4x

4=x

Marissa is currently four years old.

What is algebra?

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use.

Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

Let's represent Marissa's current age "x".

According to the given question, in 16 years she will be five times older than she is today, which we can express as:

x + 16 = 5x

Solving for x, we can subtract x from both sides:

16 = 4x

Dividing both sides by 4, we get:

x = 4

Therefore, Marissa is currently 4 years old.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ6

I’ve been working on this all day please help me solve it

Answers

Answer:

a and b) 256

c) 5

d) 400

e) 10

Step-by-step explanation:

160(2) - 16(2)² = 320 - 64 = 256

h(2) = 256

find zeros

0 = -16x²-160x

0 = -16x(x-10)

-16x=0    x = 0

0 = x-10   x = 10

Δx₁,x₂ = 10/2 = 5    max height is at x = 5

find max height using x-value:

-16(5)²+160(5) = -80 + 480 = 400

for e) use second root (x = 10)

What is | −34 | ?
-------
l l
-------
l l
--------

Answers

Step-by-step explanation:

Here,

| −34 |

= 34

As,

| | are absolute symbols so it's denote only the neutral number such as, | - 1 | = 1

Answer:

34

Step-by-step explanation:

|-34|

The absolute value bars means taking the non-negative value

|-34| = 34

helpppppppppppppppppppppp..... .......


Answers

Answer:

[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]

Thank you so much thank y’all for your help

Answers

Answer:

2(4) + 2(l) >14 (second option is the answer).

Second option!
Hope this is correct!

Write an expression in simplified form for the area of each rectangle. Width: 7 Length: 5n-9

Answers

Answer:

35n - 63

Step-by-step explanation:

The area of a rectangle is given by

A = l*w where l is the length and w is the width

A = 7(5n-9)

Distribute

A = 35n - 63

Area of rectangle = Length * Width

Length is 5n-9

Width is 7

⇛Area = 5n-9(7)

⇛Area = 33n - 63

i need serious helpplease its confusing....

Answers

area: 40p² + 24p

wide: 8p

(40p² + 24p)/ 8p

5p + 3

so, length: 5p + 3 -> (a)

perimeter = wide x 2 + length x 2

16p + (10p + 6)

26p + 6 -> (b)

indices-find The value of 6*7^3​

Answers

Answer:

[tex]6 * 7^3 = 2058[/tex]

Step-by-step explanation:

Given

[tex]6 * 7^3[/tex]

Required

Solve

App;y law of indices:

[tex]6 * 7^3 = 6 * 7*7*7[/tex]

Multiply

[tex]6 * 7^3 = 2058[/tex]

PLZ Help! I'm crying over this....

Answers

Answer:

D

Step-by-step explanation:

The correct option is the Car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.

From the graph we can tell that the distance of the car is a function and it's a line

Answered by G a u t h m a t h


Find the value of x in the parallelogram.


Answers

Answer:

75

Step-by-step explanation:

Since the two angles are on the same side of the parallelogram, they're supplementary.

x + (2x - 45) = 180

3x - 45 = 180

3x = 225

x = 75

the length and breadth of a hall is two times its breadth and the breadth is two times its height if the cost of papering its wall at rs 25 per sq metre is rs 10800 find the cost of paving marbles on its floor at rs 250 per sq .metre
.•♫•♬•plzz helpp•♬•♫•.•♬•♫•.​

Answers

Answer:

Answer

Let height of the room be 'h' m.

∴ length of the room=2hm

breadth of the room=

2

3

hm.

area of 4 walls=

1.60

179.20

=112m

2

2(l+b)×h=112

2(2h+

2

3

h)×h=112

2

7

×h

2

=112

h

2

=

14

112×2

=16

h=

16

=4m

length=4×2=8m, breadth=

2

3

×4=6m

for, tiling the floor area=l×b=8×6=48m

cost of tiling=48×6.75=Rs.324

Please do a explanation:’)

Answers

Answer:

3x-3xy-2xy-5x+6. ( multiply the number that were outside the bracket)

By BODMAS rule...

= 3x-5x-3xy-2xy+6

= -2x-5xy+6

hope you understood...

Answer and Step-by-step explanation:

We are given an expression to simplify. According to PEMDAS

(Parenthesis, Exponents, Multiplication, Division, Addition, and Subtract [in that order]), we need to start with the parentheses first.

With what we are given, we need to multiply the value outside of the parenthesis to the values inside the parenthesis.

Start with the first set of terms in the expression.

3(x - xy)

We need to multiply 3 to the x and negative xy.

3x - 3xy

Now we go to the next set of terms in the expression.

-x(2y + 5)

Distribute the x (multiply) to the 2y and 5.

-2xy - 5x

Now, we combine like terms within the entire expression.

Combining like terms is essentially saying to combine the terms that have similar properties/values. We have values that have an x with it, and xy with it, and no variables with it. We can combine only the values with the x variable together, and the values with the xy variable can only be combined together. The values without the variables (if you have more than one), will combine only with each other.

3x - 3xy - 2xy - 5x + 6

____________________________________________

-5xy - 2x + 6   <- This is the final answer; the simplified version of the expression.

#teamtrees #PAW (Plant And Water)

Daniel buys a new car.

In the first year, the value of the car decreases by 12% of its original value.

The value of the car at the end of the first year is £9680.

(a) Work out the original value of the car.

The value of the car at the end of the first year is £9680.
In each of the second year, the third year, fourth year and the fifth year, the value of the car decreases by
x% of its value at the beginning of each year.
The value of the car at the end of the fifth year is £5000.
(b) Work out the value of x.
Give your answer correct to 3 significant figures.

Answers

Answer:

Step-by-step explanation:

Value of the car at the end of the first year = £9680

Depreciation = 12 %

Original price = £ x

If we reduce 12% of original price from x, we will get £9680

x - 12% of x  = £ 9680

[tex]x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000[/tex]

Original price  = £ 11000

Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?” The results are shown in the table below:
(attached)

Help Andrew determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process. ​

Answers

Answer:

Honor students have a probability of 43% to non-honor students 25%.

Step-by-step explanation:

Prob of honor student getting math class choice = 215/500 = 43%

Prob of non-honor student getting math class choice = 125/500 = 25%

Find the length of the segment indicated. Round to the nearest tenth if necessary.

Answers

Answer:  

x=5  

Step-by-step explanation:

x is the length of the line segment from the center to the boderline of circle. So x=5

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

B

Step-by-step explanation:

Total surface area=Sum of all figure area

=380+928+380+608=2296

Helpppppppppp I need help

Answers

Answer:

she is 4 years old just divide 39 by 9

Explain why they substituted cos(60) with 1/2 ?

(Look at image)

Answers

9514 1404 393

Answer:

  equals can be substituted anytime anywhere

Step-by-step explanation:

cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.

__

If you don't substitute at some point, you find the answer to be ...

  x = 10/cos(60°)

Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.

Write parametric equations of the line [tex]-4x+y=-2[/tex]

a. [tex]x=t, y=4t-2[/tex]

b. [tex]x=t, y=-4t-2[/tex]

c. [tex]x=t, y=4t+2[/tex]

d. [tex]x=t, y=-4t+2[/tex]

Answers

Answer:

Option a

Step-by-step explanation:

Assign a value to variable x =t

Eq becomes

-4t+y=-2

y=4t-2

In the town of Rockville, 35 of the students in middle school participate in organized sports after school. If 14 of them play basketball, what fraction of the students play basketball?

Answers

Answer:

2/5

Step-by-step explanation:

The fraction that play basketball is the number that play basketball over the total

14/35

Divide the top and bottom by 7

2/5

find the missing side lengths answers are in simplest radical form with the denominator rationalized​.​

Answers

Answer:

Option B is the answer

Step-by-step explanation:

x= 8, y=4√2

We know from pythagorean's law

(Hypotenuse) ^2 = (base)^2 + (height) ^2

find the following ratios right triangle. PLS HURRY and disregard my answers.

Answers

Answer:

sinA= 5/13; cosB= 5/13

Step-by-step explanation:

sine is opposite over hypotenuse so 5/13. cosine is adjacent over hypotenuse so 5/13

I need help ASAP!!!Please explain the answer

Answers

Answer:

The formula for area is length times width.

it's 8m long, and 6m wide. When we multiply it, we get 48m that is for one side of the cube, so we count how many sides there is. There's 6, so we multiply 6 times 48 and the complete surface area for the whole cube is 288m

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