What percent of 120 is 72
A- 86.4%
B- 60%
C- 1.67%
D- 0.6%

Answer: x=3

Step-by-step explanation:

Given

The function f(x) has a vertical asymptote

From the graph, it is clear that at x=3, the function value approaches infinity

So, x=3 is the vertical asymptote of the function.

x=1

...................

Answer:

[tex]y = 30x+290[/tex]

Step-by-step explanation:

Given

[tex]y=-x^2+65x+256[/tex]

Required

The linear function of a competitor's website

On day 1, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =1[/tex]

[tex]y=-(1)^2+65*1+256[/tex]

[tex]y=-1+65+256[/tex]

[tex]y=320[/tex]

This implies:

[tex](x_1,y_1) = (1,320)[/tex]

On day 34, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =34[/tex]

[tex]y=-(34)^2+65*34+256[/tex]

[tex]y=-1156+2210+256[/tex]

[tex]y=1310[/tex]

This implies:

[tex](x_2,y_2) = (34,1310)[/tex]

To calculate the linear function of the competitor, we have:

[tex](x_1,y_1) = (1,320)[/tex]

[tex](x_2,y_2) = (34,1310)[/tex]

Calculate slope (m)

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

[tex]m = \frac{1310 - 320}{34-1}[/tex]

[tex]m = \frac{990}{33}[/tex]

[tex]m = 30[/tex]

The equation is then calculated as:

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

This gives:

[tex]y = 30 * (x - 1) + 320[/tex]

Open bracket

[tex]y = 30x - 30 + 320[/tex]

[tex]y = 30x+290[/tex] --- This represents the linear function of the competitor's website

The  linear function of the competitor's website is represented by y=30x-290.

We have given that,the function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website launched.

We have to find the linear function of a competitor's website.

For the day 1, both websites have the same subscribers.

This implies that

[tex]y=-x^2+65x+256[/tex]

x represent the value of day

so plug x=1 we get

[tex]y=(-1)^2+65+256[/tex]

[tex]y=-1+65+256\\y=320[/tex]

Therefore we get the point

[tex](x_1,y_1)=(1,320)[/tex]

On day 34, both websites have the same subscribers.

[tex]y=-x^2+65x+256[/tex]

x=34

[tex]y=-(34)^2+65\times 34+256[/tex]

[tex]y=-1156+2210+256\\y=1310[/tex]

[tex](x_2,y_2)=(34,1310)[/tex]

[tex](y_2-y_1)=m(x_2-x_1)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{1310-320}{34-1} \\m=\frac{990}{33} \\m=30[/tex]

Now slope point form is

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

Theefore we get

[tex]y=30(x-1)+320[/tex]

[tex]y=30x-290[/tex]

Therefore, the linear function of the competitor's website is represented by y=30x-290.

To learn more about the linear model visit:

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Answer:

y = -1/2x + 3

Step-by-step explanation:

(6，0) is on the linear function, 0= -1/2 × 6 + 3

Answer:

[tex]\huge\boxed{a\in\mathbb{R}}[/tex]

Step-by-step explanation:

[tex]1\times(a+3)=a+3\\\\a+3=a+3\\\\a-a+3=a-a+3\\\\3=3\qquad\bold{TRUE}[/tex]

Answer:

See the Image below:)

ITS TRUE

SOLUTION ALL REAL NUMBERS

Step-by-step explanation:

Answer:

G(x) = (x^2 +2)

Step-by-step explanation:

The graph moved to the left 2 units, therefor that is the equation :)

The equation of the blue graph will be G(x) = (x² +2).

In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is a polynomial function defined by a quadratic polynomial.

A parabola is the shape of a quadratic function's graph. The "width" or "steepness" of a parabola can vary and it can expand upward or downward.

The given equation of the red graph is,

F(x) = x²

The graph moved to the left 2 units, hence the equation can  be written as,

G(x) = F(x) + 2

G(x) = x² + 2

To know more about quadratic function follow

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Answer:

40 in 1 hour

320 in 8 hours

Step-by-step explanation:

You can use the Pythagoras theorem for this since a right triangle is formed.

[tex]c^2 = a^2 + b^2[/tex]

C = 12

A = 4

B = x

Input values:

[tex]12^2 = 4^2 + x^2[/tex]

[tex]144 = 16 + x^2[/tex]

[tex]128 = x^2[/tex]

[tex]x = \sqrt{128}[/tex]

[tex]x = 11.3137...[/tex]

So, about 11ft.

Answer:

0.8^4

Step-by-step explanation:

Write the expression using exponents.

[tex]0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8 \: = \boxed { ? }[/tex]

Since, the expression is actually the repetition of 0.8, so we can write this as,

⇒ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴

Calculating further, We get,

⇒ ( 0.8 )⁴ = [tex] \sf \frac{8 \times 8 \times 8 \times 8}{10 \times 10 \times 10 \times 10} = \frac{8⁴}{10⁴} [/tex]

⇒ ( 0.8 )⁴ = [tex] \frac{4096}{10000} [/tex]

Calculating further, We get,

⇒ ( 0.8 )⁴ = 0.4096

∴ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

Answer:

C = 8x + 75

Step-by-step explanation:

8x = 8 dollars per shirt

75 is the one time fee

Answer:

75+8x

Step-by-step explanation:

75 is the starting ticket it to get your shirt printed, then for each shirt printed it would plus 8, so if you want to print 10 shirts then it would be 8*10 aka 80, then you add that number with the starting 75 to get the answer (in this case ( as an example) 155.

Answer:

look at s d g

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

arrange the number in order from smallest to largest, 4, 6, 6, 9, 11, 19, 23, 34. you then find the middle number, in this case there is no middle number, but 9 and 11 are the closest, so you add those to together to get 20, then divide by 2. this gives you ten

if you have any questions, leave them in the comments and i will try to answer them, if this helped pls give brainliest

Answer:

Hello There!!

Step-by-step explanation:

Median is ordering the numbers from smallest to biggest.

Ordered: 4,6,6,9,11,19,23,34

And there is no middle number so you have two add the two middle numbers 9+11=20 then divide by 2 which equals 10.

hope this helps,have a great day!!

~Pinky~

Answer: 17. is A and 18 is most likely G

Step-by-step explanation:

Answer:

0.6 I think ........................

Answer:

s =  a + b + c/2

= 6 + 8 + 10/2

= 12 inches

Area = √s(s-a)(s-b)(s-c)

= √12×(12 - 6)×(12 - 8)×(12 - 10)

= 24 inches^2

Step-by-step explanation:

Sorry if this isn't right, you might just have to apply regular Pythagorean theorem.

Answer:

Step-by-step explanation:

760+620+80=1460 total monthly expenses.

$32,580 annually divided by 12 months = monthly income of $2,715

2,715-1460=1,255

Her budget shows a surplus of $1,255

Given:

A triangle ABC.

The given expression for b is:

[tex]b=\sqrt{m+n-pq}[/tex]

To find:

The expression that is equivalent to b.

Solution:

According to the Law of Cosines,

[tex]b^2=a^2+c^2-2ac\cos B[/tex]

It can be written as:

[tex]b=\sqrt{a^2+c^2-2ac\cos B}[/tex]              ...(i)

We have,

[tex]b=\sqrt{m+n-pq}[/tex]                                ...(ii)

On comparing (i) and (ii), we get

[tex]m=a^2[/tex]

[tex]n=c^2[/tex]

[tex]p=2ac[/tex]

[tex]q=\cos B[/tex]

Therefore, the required values are [tex]m=a^2,n=c^2,p=2ac,q=\cos B[/tex].

Answer:

625.8

Step-by-step explanation:

your welcome

Answer:

625.8

Step-by-step explanation:

a tenth is the first decimal place after the decimal, if there's a five next to it then you can add a number to that place, but since both of the numbers next to the tenth are under 5, we don't add an extra number to it, making the answer 625.8

This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

Answer:

125x^3 cm^3

Step-by-step explanation:

The volume of a cube of side length s is V = s^3.

If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3

The probability that more than 4 of the flips turn up tails will be 6.10%.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

The probability that out of n trials, there'd be x successes is given by

P(X = x) = ⁿCₓ pˣ (1 - p)ⁿ ⁻ ˣ

A fair coin is flipped 14 times.

Then the probability that more than 4 of the flips turn up tails.

The probability of success will be

P = 1/2

P = 0.5

n = 14

x = 4

Then we have

P(X = 4) = ¹⁴C₄ (0.5)⁴ x (1 - 0.5)⁽¹⁴ ⁻ ⁴⁾

P(X = 4) = ¹⁴C₄ (0.5)⁴ x (0.5)¹⁰

P(X = 4) = 0.061

P(X = 4) = 6.10%

Learn more about binomial distribution here:

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Answer:

No, because he needs to make a 18 by 12 base. Not enough wood, (area)..... square inches

Answer: 2123.72

Step-by-step explanation:

Answer:

Step-by-step explanation:

Form for Cylinder- V=πr^2h

π=3.14

r=6.5

h=16

π × 6.5^2 × 16 =2123.71663383

Rounded 2123.72

Hope this helps! Brainiest please!:)

Answer:

x = 59°

y = 130°

Step-by-step explanation:

Find x:

Recall: the measure of an inscribed angle = ½(measure of intercepted arc), based in the inscribed angles theorem

Therefore,

x = ½(118°)

x = 59°

Find y:

y = 2(180 - (56 + x)) => inscribed angles theorem

Plug in the value of x

y = 2(180 - (56 + 59))

y = 2(180 - 115)

y = 2(65)

y = 130°

Answer:

6 1/5

Step-by-step explanation:

six and one fifth girl no cap

and that's on mary had a lil lamb

Answer:

[tex]51 \frac{1}{5} ~ laps[/tex]

Step-by-step explanation:

[tex]\frac{laps}{hours} =\frac{x}{1}=\frac{12\frac{4}{5} }{\frac{1}{4} }[/tex]

[tex]x=\frac{\frac{64}{5} }{\frac{1}{4} }[/tex]

[tex]x=\frac{64}{5}*\frac{4}{1}[/tex]

[tex]x=\frac{256}{5} =5 \frac{1}{5}[/tex]

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

hope it helps..

have a great day!!

Answer:

[tex] \frac{ \sqrt{3} }{2} x = 15 \\ x = \frac{30}{ \sqrt{3} } = 10 \sqrt{3} \\ \\ area = \frac{3 \sqrt{3} }{2} {x}^{2} = 15 \times 3 \times 10 \sqrt{3} = 450 \sqrt{3} [/tex]