Find the value of x in each case

Answer:

D

Step-by-step explanation:

Exponential functions always will end up being bigger than quadratic functions and since g(x) is probably the exponential it makes f(x) the quadratic because it is growing slower than the function g(x)

The function g(x) increases faster than the function f(x). Then the correct option is D.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The table below shows the values of f(x) and g(x) for different values of x.

One of the functions is a quadratic function, and the other is an exponential function.

The quadratic function f(x) will be

f(x) = ax² + bx + c

At x = 1, f(x) will be 3

a + b + c = 3 ...1

At x = 2, f(x) will be 6

4a + 2b + c = 6 ...2

At x = 3, f(x) will be 11

9a + 3b + c = 11 ...3

On solving equations 1, 2, and 3, we have

a = 1, b = 0, and c = 2

Then the quadratic function will be

f(x) = x² + 2

The exponential function g(x) will be given as

g(x) = abˣ

At x = 1, g(x) will be 3

ab = 3 ...4

At x = 2, g(x) will be 9

ab² = 9 ...5

From equations 4 and 5, we have

a = 1 and b = 3

Then the exponential function will be

[tex]\rm g(x) = 3^x[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

The shape could be divided into a rectangle and a trapezoid.

b= 9-(5+2)

b= 2

Area= [tex](3.5\times 9)+1/2(b_1+b_2)h[/tex]

[tex]= [31.5+1/2(9+2)(2)] \:units^{2}[/tex]

[tex]=42.5\ units^{2}[/tex]

OAmalOHopeO

The distance between Balloon B and Balloon A is 999 feet (correct to the nearest whole number); that is, Balloon B is 999 feet from balloon A

The diagram for the question is shown as described in the question in the attachment below.

From the diagram,

Let the height from balloon A to the ground be /AG/ and the height from balloon B to the ground be /BD/ and the point where Charlie is be C

/AG/ = 1200 feet

/AG/ = /BD/ = 1200 feet ( as shown in the diagram)

The distance between the two balloons is equal to /GD/

Also, from the diagram, /GD/ = /GC/ + /CD/

To find /GC/,

Consider ΔAGC

/AG/ = 1200 feet

/GC/ = ?

From the question, "Balloon A has risen at a 56° angle"

∴ x° = 56°

Using the formula

[tex]tan(x^{o} ) = \frac{/AG/}{/GC/}[/tex]

[tex]tan(56^{o}) = \frac{1200}{/GC/}[/tex]

[tex]/GC/ = \frac{1200}{tan(56^{o}) }[/tex]

/GC/ = 809.41 feet

To find /CD/

Consider ΔBCD

/BD/ = 1200 feet

/CD/ = ?

From the question, "Balloon B has risen at a 81° angle"

∴ y° = 81°

Using the formula

[tex]tan(y^{o} ) = \frac{/BD/}{/CD/}[/tex]

[tex]tan(81^{o}) = \frac{1200}{/CD/}[/tex]

[tex]/CD/ = \frac{1200}{tan(81^{o}) }[/tex]

/CD/ = 190.06 feet

Now, recall that /GD/ = /GC/ + /CD/

∴ /GD/ = 809.41 feet + 190.06 feet

/GD/  = 999.47 feet

/GD/ ≅ 999 feet (to  the nearest whole number)

Hence, the distance between the two balloons is 999 feet

Balloon B is 999 feet from balloon A.

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Answer:

999 Units

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so

[tex]\frac{ES}{EG}[/tex] = [tex]\frac{ER}{EF}[/tex] , substitute values

[tex]\frac{45}{12x-3}[/tex] = [tex]\frac{55}{143}[/tex] ( cross- multiply )

55(12x - 3) = 6435 ( divide both sides by 55 )

12x - 3 = 117 ( add 3 to both sides )

12x = 120 ( divide both sides by 12 )

x = 10

Answer:

Step-by-step explanation:

3r(2r^2 - 5)

6r^(2 + 1) - 5*3r

6r^3 - 15r

Answer:

She needs 1½ cups

Step-by-step explanation:

Number of cups she needs altogether = 1/3 + 3/4 =(4+9)/12 = 13/12 = 1½

Step-by-step explanation:

Substitute the values of a and b into [a-b]2

= [-5-(-2)]2

= [-5+2]2

= [-3]2

= -6

Answer:

$3

Step-by-step explanation:

7 rands for $1

7×3=21

21 rands for $3

Answer:

$3

Step-by-step explanation:

7 rand = 1 dollar

Divide both sides by 7 rand.

1 = (1 dollar)/(7 rand)

Notice that the fraction (1 dollar)/(7 rand) equals 1, so multiplying by it will not change the amount, just the units.

21 rand * (1 dollar)/(7 rand) =

= 21/7 dollar

= 3 dollar = $3

Answer:

x=15, y=2

Step-by-step explanation:

By AA similarity, the triangles are similar. Therefore, we can find the ratios of the side lengths.

9/3=3=ratio of the side length of a larger triangle to a smaller one.

3=6/y, y=2

3=x/5, x=15

Hope this helped,

~cloud

Answer:

35 points

Step-by-step explanation:

See photo

Answer:

B.

[tex]{ \tt{f(x) = \sqrt[3]{x + 11} }}[/tex]

let the inverse of f(x) be m:

[tex]{ \tt{m = \sqrt[3]{x + 11} }} \\ { \tt{ {m}^{3} = x + 11}} \\ { \tt{ {m}^{3} - 11 = x}} \\ { \tt{ {f}^{ - 1}(x) = {m}^{3} - 11 }}[/tex]

substitute for x in place of m:

[tex]{ \bf{f {}^{ - 1}(x) = {x}^{3} - 11 }}[/tex]

Answer:

quadratic

y=mx+c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

f^6h^6

Step-by-step explanation:

f^9 h^23

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

f^3 h^17

We know a^b / a^c = a^(b-c)

f^9 / f^3 = f^(9-3) = f^6

h^23 / h^17 = h^(23-17) = h^6

f^6h^6

Answer:

The right solution is:

(a) 0.8849

(b) 12.28%

(c) 4.9935

(d) 28004

Step-by-step explanation:

Given:

Mean,

= 4.5

Standard deviation,

= 0.3

(a)

P(x > 4.14)

As we know,

⇒ [tex]z = \frac{4.14-4.5}{0.3}[/tex]

      [tex]=-1.20[/tex]

then,

⇒ [tex]P(z>-1.20) = P(z<1.20)[/tex]

                          [tex]=0.8849[/tex]

(b)

P(4.8 < x < 5.04)

= [tex]P(\frac{4.8-4.5}{0.3} < \frac{x-\mu}{\sigma} < \frac{5.04-4.5}{0.3} )[/tex]

= [tex]P(1<z<1.80)[/tex]

= [tex]P(z<1.80)-P(z<1)[/tex]

= [tex]0.9641 -0.8413[/tex]

= [tex]0.1228[/tex]

or,

= [tex]12.28[/tex] (%)

(c)

P(x > x) = 0.05

z value will be,

= 1.645

⇒ [tex]1.645 = \frac{x - 4.5}{0.3}[/tex]

         [tex]x = 4.9935[/tex]

(d)

P(x < 5.01)

⇒ [tex]z = \frac{x- \mu}{\sigma}[/tex]

      [tex]=\frac{5.01-4.5}{0.3}[/tex]

      [tex]=1.7[/tex]

P(z < 1.70) = 0.9554

⇒ [tex]n = \frac{27875}{0.9954}[/tex]

       [tex]=28004[/tex]

Answer:

2 significant figures  

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2

Only the 7 and the 6 are significant. The zeros are place holders and not significant figures.

Answer:

Horizontal Shift: Right 1

Vertical Shift: Down 5

Reflection: None

Explanation: To find the transformation, compare the function to the parent function (being in this case g(x)=1/x) and check to see if there is a horizontal or vertical shift or a reflection.

So, the answer would be Right 1, and down 5

Hope this helps you out :)

Answer:

A, C, and F

Step-by-step explanation:

The solution is, A and D are the correct statements.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

to know which are the following statements are true:

We know that when f(x) is divided by (x - h) then f(h) is the remainder.

In option  A f(-7) is the remainder which gives the value 8.

So, option A is correct.

Here the value x = 7 does not satisfy the function.

When we put x = 7 in the function it is coming 99

So, option B and C are wrong.

On putting x = -7 in the function we are getting 8

So options D is correct

Again, the value of f(7) is 99.

So, (x - 7) when divides the given function, 8 is not the remainder.

So, option E is wrong.

Hence, The solution is, A and D are the correct statements.

Find more about "Division of functions" here:

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Answer:

x = 8

Step-by-step explanation:

Set 2x + 3 = 3x - 5

Solve for x

x = 8

Answer:

nbbhhghhhjjjjjjjjjkjjjjnnmmmmmmmmbv b b j

9514 1404 393

Answer:

  y was not substituted for every x

Step-by-step explanation:

To find the inverse of ...

  y = f(x)

you need to solve ...

  x = f(y)

Here, f(x) = x^2 +12x, so f(y) = y^2 +12y

This is not the expression we see on the right of ...

  x = y^2 +12x

Apparently y was not properly substituted into f(x).

Answer: 4.25

Step-by-step explanation:

2.5/100 = 0.025

0.025 × 170 = 4.25

but the question there is any goats in 2.5 cm ??

that is impossible

Answer:

3

Step-by-step explanation:

chain by chain

parllel

series

Step-by-step explanation:

I hope this works for ya.

Answer:

The answer is −3y^2−y.

Steps:

Distribute the Negative Sign:

=−2y2+−1(y2+y)

=−2y2+−1y2+−1y

=−2y2+−y2+−y

Combine Like Terms:

=−2y2+−y2+−y

=(−2y2+−y2)+(−y)

=−3y2+−y

Answer:

-3y^2 - y

Step-by-step explanation:

-2y^2 - (y^2 + y)

Find the opposite of y^2 + y, so distribute the negative sign to the values inside the parentheses to get:

−2y^2 −y^2 − y

Then combine like terms to get:

-3y^2 - y

Answer:

65 degrees

Step-by-step explanation:

Find the range of temperatures by finding the difference between the lowest and highest temperatures:

37 - (-28)

37 + 28

= 65

So, the range of temperatures was 65 degrees

Answer:

136 cm2

Step-by-step explanation:

6*2=12    12*2=24

6*7=42   42*2=84

7*2=14    14*2=28

Add.

24+84+28=136

I hope this helps!

Answer:

"ob" is the answer of this long question

Answer:

D

Step-by-step explanation:

reason:

not A cuz the customer has to wait for a long time, and she feel waste of time

not B cus it's the store's responsiblity, not customer. if she said that, the customer would feel be disrespected. and i swear she never comes back that store.

C if she said that, customer also feel waste of time when she has to talk with Aliana who cant solve her problem

and the boss will think Ali couldnt have no problem-solving skills