f(x)=2x+1 find x if f(x)=16 . Please help with this

Answer:

  exponent: 3; base: 4

Step-by-step explanation:

An exponent is used to signify repeated multiplication. In a typeset expression is has a superscript format. The base is the value being repeatedly multiplied.

  [tex]4^3=4\cdot4\cdot4[/tex]

The exponent is 3.

The base is 4.

_____

In plain text, an exponent is preceded by a caret (^). If the exponent consists of more than a single constant or variable, it must be enclosed in parentheses. The above expression would be written as 4^3.

Answer:

8.13704 × [tex]10^{5}[/tex]

Step-by-step explanation:

3000 + 4 + 800000 + 700 + 10000 = 813704

Answer:

C. 3,700 square feet

Step-by-step explanation:

add the area of both the front and half of the back yard.

Answer:

f(3) = 11

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x), that is

f(3) = 3(3) + 2 = 9 + 2 = 11

Answer: f(3) = 11

Step-by-step explanation: Notice that f is a function of x.

So we want to find f(3).

We find f(3) plugging 3 in for x,

everywhere that x appears in the function.

So we have 3(3) + 2 which is 9 + 2 or 11.

So f(3) = 11.

Answer:

sin(B) =  [tex]\frac{15}{17}[/tex]

cos(B) = [tex]\frac{8}{17}[/tex]

tan(B) = [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

I always find it easiest to model out the triangle: Angle B will be at the converging point of a and c.

Using SOH CAH TOA, we know that the Sin of an angle will be its opposite over hypotenuse. The opposite is 15, and the hypotenuse is 17.

So  [tex]\frac{15}{17}[/tex] is the sin of B.

We also know that the cosine of B will be it's adjacent over hypotenuse. The adjacent is 8 and the hypotenuse is 17, so

[tex]\frac{8}{17}[/tex]

Lastly, we know the tangent of B will be it's opposite over adjacent. The opposite of B is 15, and it's adjacent is 8, so

[tex]\frac{15}{8}[/tex] is the tangent of B.

Hope this helped!

Answer:

7/10

Step-by-step explanation:

In 0.7 we will change the decimal to fraction. First we will write the decimal without the decimal point as the numerator. Now in the denominator, write 1 followed by one zeros as there are 1 digit in the decimal part of the decimal number. Therefore, we observe that 0.7 (decimal) is converted to 7/10

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▹ Answer

7/10

▹ Step-by-Step Explanation

0.7 → The 7 is in the tenth's place, therefore this is written as 7/10.

Final answer - 7/10

Hope this helps!

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Answer:

4.5

Step-by-step explanation:

7(2x-9)

14x-63=0

14x=63

X=4.5

The given statement "Seven times the difference of twice a number and nine" is written in the form of an expression as 7(2x-9).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement "Seven times the difference of twice a number and nine" can be written in the form of an expression as,

Hence, The given statement "Seven times the difference of twice a number and nine" is written in the form of an expression as 7(2x-9).

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Answer:

See below.

Step-by-step explanation:

In multiplication and division of two numbers:

equal signs equal positive

different signs equal negative

Now you can answer every question.

1. What is a negative times a positive different signs negative

2. A Positive times positive equal signs positive

3. A negative times a negative equal signs positive

4. What is a negative divided by a positive different signs negative

5. A Positive divided by positive equal signs positive

6. A negative divided by a negative equal signs positive

Answer:

1: - x + = -

2: + x + = +

3: - x - = +

4: - divided by a + is -

5: + divided by a + is +

6: - divided by a - is +

Answer:

Willa can type 60 words per minute

Step-by-step explanation:

60 minutes = 1 hour

1/4 hour = 1/4 × 60 minutes

= 60/4 minutes

= 15 minutes

Quarter of an hour= 15 minutes

Willa can type 900 words in 15 minutes

how many words per minute can willa type?

Words per minute= Total words in 15 minutes / 15 minutes

= 900 / 15

= 60 words per minute

Willa can type 60 words per minute

Answer:

10

Step-by-step explanation:

The absolute value always returns a positive value, thus

| a | = | - a | = a

Given

| 5 - 15 | = | - 10 | = 10

Answer:

[tex]=\pm i\sqrt{66}[/tex]

Step-by-step explanation:

So we have:

[tex]\pm\sqrt{-66}[/tex]

This is the same as:

[tex]=\pm\sqrt{66\cdot-1}[/tex]

Separate:

[tex]=\pm\sqrt{66}\cdot\sqrt{-1}[/tex]

Replace the second term with i:

[tex]=\pm i\sqrt{66}[/tex]

The square root of 66 cannot be simplified.

So, this is our answer :)

76 and 4 is the answer of your question

Answer:

34 minutes

Step-by-step explanation:

Given that T varies inversely as R then the equation relating them is

T = [tex]\frac{k}{R}[/tex] ← k is the constant of variation

To find k use the condition

T = 55 when R = 200, that is

55 = [tex]\frac{k}{200}[/tex] ( multiply both sides by 200 )

11000 = k, thus

T = [tex]\frac{11000}{R}[/tex] ← equation of variation

When R = 325, then

T = [tex]\frac{11000}{325}[/tex] ≈ 34 minutes ( to the nearest minute )

Answer:

Option 2

Step-by-step explanation:

An inverse variation can be represented by the equation xy=k or y=kx .

If (x1,y1) and (x2,y2) are solutions of an inverse variation, then x1y1=k and x2y2=k

Substitute x1y1 for k

x1y1=x2y2   or x1x2=y2y1

The equation x1y1=x2y2 is called the product rule for inverse variations.

Let x be the time required, and y the rate of pumping.

x1 = 55min  y1 = 200gal/min

x2 = Unknown y2 = 325gal/min

(55)(200) = x2(325)

11,000 = x2 (325)

11,000/325 = x2

33.84 = x2

34 minutes

Answer:

Step-by-step explanation:

First we need to find inverse function of f(x) which is written in a form of (f(x))^(-1)

That means that we are actually looking for function f(y) and we need to solve this equation for "y"

y=(4x + 1)/3

3y = 4x + 1

4x = 3y - 1

x = (3y - 1) / 4

f(y) = (3y - 1)/4

Now we simply put the value of 3 instead of y and find the answer:

f(y=3) = (3*3-1)/4 = 2

Answer is 2

Answer:

A. 130 degrees

B. 50 degrees

Step-by-step explanation:

A. It's a straight line so the angle is 180. U subtract 50 from. 180 and u get 130

B. It 50 because it's vertically opposite angle to angle AEC

Answer:

a. the angle measure is 130°

b. the angle measure is 50°

Step-by-step explanation:

a. you have to subtract 180°- 50° to get 130°

b.angle AEC is congruent to angle DEB so they are both 50°

Answer:

C is the answer!!

Step-by-step explanation:

Answer: The exact form is 5.3965953e-16. But in exponential form: 9^(-16).

Step-by-step explanation:

Use your calculator to plug in the negative powers and to multiply. Do it one step at a time. If you want exponential form, then here:

9^(-53) * 9^(37)

Add exponents keep base

9^(-16)

Hope this helps

Answer:

Step-by-step explanation:

So we have direct proportions here.

So

715=11

845=x

845*11/715

x=13

To check our work.

715/11=65

65*13=845.

Basically, in this formula, you use cross multiplication. So A*B=B*A. B and B go together and A and A go together/

So we can use the formula x = b*b/a. Since A is one of the A's and the other value of A is missing, we can use this formula to find it.

Hope this helped, ask me if you have any questions.

Answer:

18 pieces

Step-by-step explanation:

This is a division problem.

1 m = 100 cm

To convert from cm to m we divide the length in cm by 100.

40 m + 50 cm = 40 m + 50/100 m = 40.5 m

The rope is 40.5 m long.

9/4 m = 2.25 m

Each piece is 2.25 m long.

[tex] \dfrac{40.5~m}{2.25~m} = 18 [/tex]

Answer: 18 pieces

Answer:

[tex]8\frac{37}{56}[/tex]

Step-by-step explanation:

[tex]12\frac{2}{7} + 3\frac{5}{8} = \frac{86}{7} + \frac{29}{8} = \frac{688 - 203}{56} = \frac{485}{56} = 8\frac{37}{56}[/tex]

Answer:

the first picture would be concave and the second one would be convex

Step-by-step explanation:

Well concave means to go inwards and convex means to go outwards.

Answer:

d=4√2

Step-by-step explanation:

distance formula = √(x2-x1)²+(y2-y1)²

d=√(4-8)²+(-7-(-3))²

d=√4²+(-4)²

d=√16+16 = √32=√2²*2²*2

d=4√2

Answer:

please upload the figure

Answer:

13/5+(-12/7)÷ -31/7×1/-2.

13/5-12/7=31/35.

-31/7×1/-2=31/14.

31/35÷31/14=14/35.

90 % sure

The image attached shows an operation that can be represented with whole numbers, becuase there are positive and negative characters.

So, we know by given that there are +4 circles and -7 circles, and the whole can be expressed as the algebraic sum of them,

Therefore, the model can be represented by the number -3, which is the whole because is the result of the operation that represent each type of element.

hope i helped

-lvr

Integers come in three types:

Given:

Due to the presence of positive and negative inetegrs, the attached graphic illustrates an operation that can be expressed in whole integers.

As a result, we already know that there exist +4 circles and -7 circles, and that their algebraic total may be used to express the whole.

Because the outcome of the procedure to represent each type of element is the number -3, which is the whole, the model can be represented by this number.

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Answer:

Step-by-step explanation:

12. 40h + 100 = 300

    40h = 200

    h = 5 hours

   answer is A

13. 4p - 4 = 48

     4p = 52

      p = $13

answer is C

14. e + 3e = 24

   4e = 24

    e = 6

16. 3p + $4.29 = $8.94

     3p = $4.65

    p = $1.55

  answer is B

17. 2x + 2x + x - 6 = 74

    5x - 6 = 74

    5x = 80

     x = 16

2(16) = spearmint gum

answer is D

15.  x + 2x + 10 = 76

    3x + 10 = 76

    3x = 66

   x = 22 years old

 2(22)= 44 years old

18. 2x + 26 = 54

    2x = 28

    x = 14

answer is B

Answer:

15

Step-by-step explanation:

f(x) = 5(2 - x)

Let x = -1

f(-1) = 5(2 -  -1)

f(-1) = 5(2 +1)

     = 5(3)

     = 15

Answer: r = 1 10/11

Step-by-step explanation: The quantities x and y are proportional.

The direct variation between {x] and {y} is discussed below.

Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -

y = Kx

K = y/x

where -

{K} is scale factor.

Given is that the quantities {x} and {y} are proportional.

The general equation of a straight line is -

y = mx + c

{m} - slope

{c} - intercept along the y - axis

The straight line graph also represents a direct variation between {x} and {y}. We can write -

m = (y - c)/x

Here the ratio of (y - c)/x is always constant.

So, we can write -

(y₁ - c)/x₁ = (y₂ - c)/x₂ = m = k

for c = 0, we can write -

y₁/x₁ = y₂/x₂ = m = k {constant}

Therefore, the direct variation between {x] and {y} is discussed above.

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Answer:

12 - 0 = 12.

Step-by-step explanation:

If you substitute all x values for 0, then you get 12 - 8(0) = 3(0+4). Combine like terms and you will arrive at 12 - 0 = 3(4). Which then goes to 12 - 0 = 12. Since 0 has no value, just remove it from the equation. You are left with 12 = 12.

Answer:

it is x= 0

Step-by-step explanation:

you distribute the numbers in the parentheses first so your new equation would be 12 - 8x = 3x + 12 (basically multiply 3 by what was in the parentheses)

then cancel equal terms so 12 - 8x = 3x + 12 becomes -8x = 3x

after that move the variable and the 3 to the left while changing the sign from + to - (the + sign is implied since it's a positive number) your new equation becomes -8x - 3x = 0

next collect like terms so the numbers with the same variable meaning subtract -8x - 3x also known as -8x + -3x creating the equation -11x =0

finally divide both sides of the equation -11x = 0 by -11 creating x=0