2.
Which of the quadratic functions has the narrowest graph?


A. [tex]y=\frac{1}{8}x^2[/tex]

B. [tex]y=\frac{1}{3}x^2[/tex]

C. y = –2x2

D. y = –3x2

Answer:

x=9

Step-by-step explanation:

Use the intersecting chord theorem:

RE*ET = UE*ES

Substitute values

21 (2x+2) = 30 (x+5)

Expand:

42x+42 = 30x + 150

transpose and simplify

42x-30x = 150 - 42

12x = 108

x = 9

Given:

A line passes through the points (-3,3) and (3,5).

To find:

The equation of the line by using point slope form, then rewrite the equation in slope-intercept form.

Solution:

It is given that the line passes through the points (-3,3) and (3,5). So, the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-3}{3-(-3)}[/tex]

[tex]m=\dfrac{2}{6}[/tex]

[tex]m=\dfrac{1}{3}[/tex]

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope.

The point slope form of the given line is:

[tex]y-3=\dfrac{1}{3}(x-(-3))[/tex]

[tex]y-3=\dfrac{1}{3}(x+3)[/tex]

The point slope form of the given line is [tex]y-3=\dfrac{1}{3}(x+3)[/tex].

We need to rewrite this equation in slope intercept form, i.e.,  [tex]y=mx+b[/tex], where m is slope and b is y-intercept.

The above equation can be rewritten as:

[tex]y-3=\dfrac{1}{3}(x)+\dfrac{1}{3}(3)[/tex]

[tex]y-3=\dfrac{1}{3}(x)+1[/tex]

[tex]y=\dfrac{1}{3}(x)+1+3[/tex]

[tex]y=\dfrac{1}{3}(x)+4[/tex]

Therefore, the slope intercept form of the given line is [tex]y=\dfrac{1}{3}(x)+4[/tex].

Answer:

2/3*22/7*r^3=231.6

2/3*22/7=2.0952

2.0952*r^3=231.6

r^3=231.6/2.0952

r^3=

Step-by-step explanation:

2/3*22/7*r^3=231.6

2.0952r^3=231.6

r^3=110.5384

cuberoot 110.5384

=4.7992

Answer:

624

Step-by-step explanation:

[tex] 2(\frac{1}{2} \times 6 \times 8 ) + (24 \times 8) + (24 \times 6) + (10 \times 24)\\ = 624[/tex]

Answer:

Step-by-step explanation:

answer is 98 degree because the relation between missing angle and 98 degree is alternate exterior angles and alternate exterior angles are always equal.

answer is 89 degree because the relation between missing angle and 89  degree is corresponding angles and corresponding angles are always equal.

in the 5th question

let's consider the angle there as A so angle A is 98 degree and by the relation of alternate angles the question mark (?) is 98 degree

in 6th question

by the relation of corresponding angles the question mark(?) is 89 degree

Answer:

I think 12 is the answer

Step-by-step explanation:

In ∆ QOP

R and S is the midpoint of OQ and PQ

and RS is parallel to OP

Therefore , By BPT

∆QRS is similar to ∆ QOP

let QS length be 1 unit

therefore , QP is 2 unit ( because QS is half of QP )

RS / OP = QS / QP

18-4x / -9+7x = 1 / 2

after cross multiplying

36-8x = -9+7x

36+9 = 7x+8x

45 = 15x

x=3

we have OP length = -9+7x

put the value of x in above equation

-9+7×3

-9+21

12

Answer:

60

Step-by-step explanation:

First, divide 120 by two and get 60. Now do 120-60 to get 60. Set up proportion

60/x = x/60.

Cross multiply

x^2 = 3600

and now find the square root of 3600

60

Answer:

16,734.06 ft2

Step-by-step explanation:

A = 2pir

A = 2 x pi x 73

A = 16741.5 ft2

Answer:

how much time did it take him???????

Step-by-step explanation:

Step-by-step explanation:

The path followed by the ball as a function of time is given by :

[tex]h=-16t^2+vt+h[/tex]

Where

v is initial velocity and h is initial height,

v = 4.3 cm/s = 0.043 m/s and h = 14 cm = 0.14 m

The equation becomes,

[tex]h=-16t^2+0.043t+0.14[/tex] ....(1)

It is a quadratic equation,

t = 0.095 s

Put the value of t in equation (1).

[tex]h=-16(0.095)^2+0.043(0.095)+0.14\\\\h=-0.000315\ m[/tex]

or

h = -0.00103 ft (negative sign shows height is in negative direction)

The correct option is B - Where the given data is plot correctly.

Answer:

No

Step-by-step explanation:

To determine if the point is a solution to either of the inequalities, substitute the variables with the point given. When y<-3.x+4 is substituted with (0,4), the inequality becomes 4<4, which proves that the point is inapplicable to the first inequality. Therefore, you do not need to continue to check its applicability with the second inequality.

Answer:

To do this question, you need to put the numbers in least to greatest. Greatest to least will not work and will be incorrect.

It will be:

-3, -1, 0, 1, 5, 6, 7, 8, 10, 13

Now you have to cancel each number out from each end.

You will get the numbers:

5, and 6.

You have to find the average of this so:

5 + 6 = 11

11 ÷ 2 = 5.5

So the answer is 5.5.

Answer:

5.5

Step-by-step explanation:

First you would rearrange the numbers from smallest to biggest or vice versa then you cancel out equal number of numbers on both sides until you get to the middle. If it's an even amount of numbers, like 10, then there will be two in the middle instead of one so in that case you would add the two of them and then divide by two.

For example, -3, -1, 0, 1, 5, 6, 7, 8, 10, 13

you would cancel out until you get to the middle which would leave you with 5 and 6 so you add them and divide by two to get 5.5.

Answer:

8(r+2)

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

New shoes = $80

What Ellie Saved = $60

80 - 60 = 20

To make sure this is correct simply add 20 to 60.

60 + 20 = 80

[tex]\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]

Since volume of each cylinder is equal, so total volume of six cylindrical post :

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

its Ifa point is on the perpendicular bisector of a segment, then it is proportional from the endpoints of the segment.

I think it's either A or B probably B is my guess though, it's weirdly worded so I'm not exactly sure what it's asking

Answer:

$3.60

Step-by-step explanation:

8 apples × 150 grams

1200 grams

1 kilogram = 1000 grams

x. = 1200 grams

X = 1.2 kg

1kg = $3.00

1.2kg =$3.6

The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Amy buys eight apples that each weigh 150 grams.

And, She notices that they are on sale for $3.00 per kilogram.

Now,

Total weight of the apples is,

⇒ 8 × 150 grams

⇒ 1200 grams

⇒ 1.2 kilograms

Since, She notices that they are on sale for $3.00 per kilogram.

Hence, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.00 × 1.2

⇒ $3.60

Thus, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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Answer:

vertex = (2, 264)

Step-by-step explanation:

i just used desmos so um yeah im sorry

Answer:

1 17\43

Step-by-step explanation:

I did the math... i should be right...

Answer:

20

Step-by-step explanation:

Hi there!

[tex] \large{lim_{x \longrightarrow 3}( - 5 {x}^{2} - 2x + 4)}[/tex]

Simply substitute x = 3 in the expression.

[tex] \large{ - 5 {(3)}^{2} - 2(3) + 4} \\ \large{ - 5(9) - 6 + 4} \\ \large{ - 45 - 6 + 4} \\ \large{ - 47}[/tex]

Questions can be asked through comment.

Furthermore, limit is like substituting a value. Note that limit is about an approaching value. This is a basic limit.

Hope this helps, and Happy Learning! :)

Answer:

C.) -2/5, -5/3

Step-by-step explanation:

Edge. :)

Answer:

The answer is

B

D

F

Step-by-step explanation:

Squaring a fraction is like squaring a whole number really so you just square the fraction by multiplying it by itself.

a) The probability of selecting a blue marble is P ( B ) = 1/4

b) The probability of selecting a green marble is P ( G ) = 1/6

c) The probability of selecting not a green marble is P' ( G ) = 5/6

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the number of blue marbles = 3

Let the number of red marbles = 6

Let the number of green marbles = 2

Let the number of black marbles = 1

So , the total number of marbles = 12

So , the probability is given as

The probability of selecting a blue marble is P ( B ) = 1/4

The probability of selecting a green marble is P ( G ) = 1/6

The probability of selecting not a green marble is P' ( G ) = 5/6

Hence , the probability is solved

To learn more about probability click :

https://brainly.com/question/17089724

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The complete question is attached below :

There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.

Answer:

Area of the sector = 47.52π

Step-by-step explanation:

Area of the sector of the circle;

A = ∅ / 360 * πr²

We know that;

∅ = 120

r = 12

So now we can substitute;

A = (120 / 360) * π(12)²

A = 0.33 * 144π

A = 47.52π

Hope this helps!