Which graph represents the function f(x) = 4|x|?

Considering the equation of the parabola in vertex form, it is found that a number of -100 would have to be added to complete the square.

The equation of a quadratic function, of vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient.

In this problem, the equation is:

[tex]x^2 - 20x + 24[/tex]

Placing it in vertex form, we would have:

[tex](x - 10)^2 + 24 + c[/tex]

Applying the square of the subtraction:

[tex](x - 10)^2 = x^2 - 20x + 100[/tex]

Hence, a number of -100 would have to be added to complete the square.

More can be learned about equation of a parabola in vertex form at https://brainly.com/question/17987697

The key features needed are the slopes and y-intercepts. If the slope and the y-intercept are the same then there are infinite amounts of intersections. If the slope is the same and the y-intercept is different then they will never intercept. Of the slope and the y-intercept are different, then they will intersect at one point.

Answer:

Match each wave characteristic to its description.

frequency

wavelength

amplitude

the number of cycles of a wave per second

arrowRight

the distance between adjacent crests or troughs

arrowRight

the height of a wave from its equilibrium position

arrowRight

help

Step-by-step explanation:

Answer:

C.   a = 6

Step-by-step explanation:

Use the Pythagorean theorem

[tex]a^{2} + 8^{2} = 10^{2}[/tex]

[tex]a^{2}[/tex] + 64 = 100

[tex]a^{2}[/tex] = 36

a = 6

Answer:

cos(A) = 12/13

Step-by-step explanation:

There are several ways to remember trigonometric functions, but my personal favorite is:

SOH - CAH - TOA

Where Sin(angle) = Opposite/Hypotenuse

Cos(angle) = Adjacent/Hypotenuse

and Tan(angle) = Opposite/Adjacent

The opposite is the side of a triangle that does not form part of the angle. E.g. for angle A the opposite is 5, for angle B the opposite is 12.

The hypotenuse is the longest side of the triangle, or the opposite in relation to the right angle (signified here by the little red box in the bottom left).

The adjacent is the side that isn't the hypotenuse, but is still next to a given angle. E.g. the adjacent for angle A is 12, and the adjacent for angle B is 5.

The cosine of angle A is the adjacent of angle A divided by the hypotenuse. The side adjacent to A is 12, and the hypotenuse is 13. Therefore, the cosine of angle A is 12/13.

Answer:

x=-1, y=1

Step-by-step explanation:

Answer:

( -1, 1 )

Step-by-step explanation:

To solve, graph the equations and find the point of intersection.

when graphed these equations intersect at (-1, 1)

To double-check and make sure it's correct, plug in a solve.

x = -1

y = 1

y = 2(-1) + 3

1 = 2(-1) + 3

1 = -2 + 3

1 = 1

y = x + 2

1 = (-1) + 2

1 = 1

Answer: 1. 26

              2. 12.5

              3. 20%

Step-by-step explanation:

Answer:

i don't know

Step-by-step explanation:

maybe x=something happend

1/x

Answer:

(3,2)

Step-by-step explanation:

5x+2y= 19

4x - 3y = 6

I will use elimination

Multiply the first equation by 4

20x +8y = 76

Multiply the second equation by -5

-20x +15y = -30

Add them together to eliminate x

20x +8y = 76

-20x +15y = -30

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

       23y = 46

Divide by 23

23y/23 = 46/23

y =2

Now find x

5x+2y =19

Substitute y=2

5x+2(2) =19

5x+4 = 19

Subtract 4 from each side

5x +4-4 =19-4

5x= 15

Divide by 5

5x/5 = 15/5

x=3

The solution is

(3,2)

Answer: 14 and 15

Step-by-step explanation:

The square root of 200 is 14.1421356237.

14< 14.1421356237 < 15

Answer:

A= 28.27 ft²

Step-by-step explanation:

if its trying to find area for a circle then we use the formula A=πr²

A=π(3)²

A= 28.27 ft²

Answer:

the answer is 18.85ft

Step-by-step explanation:

the question is asking you to find the circumfrance (the outside of the circle) so the formula you would use is:

C = 2πr

input the values you have into the formula

C= 2 x π x 3

(the radius is the distance between the very centre of the circle to the outside. it gives you the diameter which is the distance all the way across the circle so just half the diameter, which gives you a radius of 3)

put that into your calculator and youll get the answer

C= 18.8495559215

(i rounded the answer to two decimal places = 18.85ft)

Answer:

48 pens

Step-by-step explanation:

6 times 8 is 48,

sam ordered 48 pens

Answer:

its a right triangle

Step-by-step explanation:

because it has at least one right angle

Answer:

a right because it has kind of a 90 angle

Step-by-step explanation:

Answer:

40 shots total.

Step-by-step explanation:

First, change the percentage to a decimal:

80% = 80/100 = 0.80

Next, divide the amount of baskets made (32) with the decimal gotten to get the  total amount of shots:

32/0.80 = 40

Brandon took a total of 40 shots.

Check. Divide 32 (shots made) with the 40 (total shots in all):

32/40 = 0.8 = 80%.

~

Answer:

A, C

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the ∠A is adjacent (adj) to  AB and opposite (Opp) of BC and AB is the hypotenuse (Hyp) of the triangle

which one of the above trig functions fits that?

sin(Ф) = BC / AC   is sin(Ф)= Opp / Hyp , so choice A) works

cos(Ф) = BC / AC  is not cos(Ф) = Opp / Hyp  so choice B) does not work

cos(Ф) = BA / AC  is cos(Ф) = Adj / Hyp  so choice C)  works

AC / BC is just a ratio   it's not the angle , so D) doesn't work

Step-by-step explanation:

B (-8,-6)

C (-10, -6)

D (-10,2)

E (-8,2)

Answer:

1)

a. 5.29 cm

b. 17.8 m

c. 9.75 in

d. 12 cm

e. 8.31 ft

f. 25.46 m

Step-by-step explanation:

Have a good day :)

Answer:

Since it is the case of independent the answer will be 6/22

Answer:

13. 1/3

14. 1/20

15. 9/20

16. 9/200

17. 253/25

18. 39/10

Answer:

Company A:

150 x 3 = $450

6/100 x 150 = $9

450 + 9 = $459

Company B:

3.10 x 150 = 465

4/100 x 150 = 6

465 + 6 = $471

Company C:

3.20 x 150 = $480

Now the order (Answer):

A(459), B(471), C(480)

Answer:

A

Step-by-step explanation:

10% raise in $20 is $2, so its only $2 more, so each hour she would earn $2 more.

Option D is the answer. $200

Step-by-step explanation:

You should pick the coin that is cheap but one that also has a high inflation value. You should graph out the rate of increase per year to see if the coins are worthy of investing upon

Answer:

y=2/7x+19/7

Step-by-step explanation:

Slope = m = (y₂-y₁)/(x₂-x₁) = (5-3)/(8-1) = 2/7

Therefore, our equation so far is y=2/7x+b where we can calculate b, the y-intercept by plugging in one of our given points [I used (1,3)]:

y=2/7x+b

3=2/7(1)+b

3=2/7+b

21/7=2/7+b

19/7=b

Therefore, our final equation is y=2/7x+19/7

Answer:

10.82

Step-by-step explanation:

6^2+9^2=x

36+81=117

Square root of 117 is 10.82

The value of the given side x  in the given circle is 10.82.

We have given that,

If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.

[tex]side^2+side^2=hypotenous^2[/tex]

6^2+9^2=x^2

36+81=117

117=x^2

taking square root on both sides.

The Square root of 117 is 10.82.

Therefore the square root of the 117 is 10.82.

To learn more about the circle visit:

https://brainly.com/question/24375372

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Answer:

yes it is a right triangle

Step-by-step explanation:

i promise u im correct !

Answer:

1)  6(3x-2)

2) 24(x+2)

3) 9(5x−9) or 9(5x+9) if you meant to put addition.

4)8x+15