Choose the best equation to solve for x

Answer:

Solve for x over the real numbers:

x^2 - 12 x - 4 = 0

Add 4 to both sides:

x^2 - 12 x = 4

Add 36 to both sides:

x^2 - 12 x + 36 = 40

Write the left hand side as a square:

(x - 6)^2 = 40

Take the square root of both sides:

x - 6 = 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

x = 6 + 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

Answer: |

| x = 6 + 2 sqrt(10) or x = 6 - 2 sqrt(10)

Answer:

Part A

The worth of the stock in 7 years is approximately $145.68

Part B

The worth of the stock in 2016 is approximately $62.48

Part C

f(7) = 85 × (1 + 0.08)⁷

Part D

85 × (1 + 0.08)⁻⁴

Step-by-step explanation:

Question

"The value of the πPhone πhas increased 8% each year for the past several years. In 2020, the stock was worth $85. What will the stock be worth in 7 years? What was the stock worth in 2016? Equation: 7 years from now? in 2016?"

The equation for the growth of the stock to a final amount f(x) is given by the general equation for exponential growth as follows;

[tex]f(t) = a \cdot (1 + r)^t[/tex]

Where, in relation to the stocks;

f(t) = The value of the stocks after 't' years

a = The initial amount of the stocks

r = The rate of growth of the stock = 8%

t = The number of years of growth

Part A

The worth of the stock in 7 years, f(7), is found as follows;

The (initial) value of the stock in 2020, a = $85

The rate of increase in the value of the stock = The growth rate of the stock, r = 8% = 8/100 = 0.08

The number of years of growth, t = 7 years

We get;

f(7) = 85 × (1 + 0.08)⁷ ≈ 145.68

The worth of the stock in 7 years, f(7) ≈ $145.68

Part B

The value of the stock in 2016 is found as follows;

The number of years between 2020 and 2016 = 2016 - 2020 = -4 (years)

Here, let 'f(t)' represent the value of the stock in 2016, and therefore, we have;

t = -4 years

r = 8% = 0.08

a = The value of the stock in 2020 = $85

Plugging in the values gives;

f(-4) = 85·(1 + 0.08)⁻⁴ = 85 × (1.08)⁻⁴ ≈ 62.48

The value of the stock in 2016, f(-4) ≈ $62.48.

Part C

The equation for 7 years from now is f(7) = 85 × (1 + 0.08)⁷

Part D

The equation for 2016 is f(-4) = 85 × (1 + 0.08)⁻⁴.

Step-by-step explanation:

y is 72, give other person brainly! :)

Answer:I also think answer is 3

Step-by-step explanation:

Answer:

they're both obtuse angles, the ones highlighted in red.

Answer:

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]

Step-by-step explanation:

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = [tex]\frac{3}{\sqrt{x} }[/tex] = 3[tex]x^{-\frac{1}{2} }[/tex] , then

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{3}{2} }[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]

Answer:

It would be a 2/9 chance.

Step-by-step explanation:

So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.

With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.

Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.

With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.

Now, combine these two probablities by multipliying them and you've got your answer!

5/10 * 4/9 = 20/90 ---> 2/9

Answer:

C

D

Step-by-step explanation:

there's nothing to explain here. just basic

Answer: C

Step-by-step explanation: To simplify the first equation given, you use the process of elimination. There are three of the same variable, s, and that would be simplified to 3s. After that everything remains the same. Making C equivalent to the given equation.

Answer:

10 1/12

Step-by-step explanation:

In order to subtract fractions, you have to give them a common denominator.

18 1/2 can be rewritten as 18 6/12, as they are the same thing and 6/12 simplifies to 1/2. We make it 6/12 because we have to subtract it by 8 5/12, and the denominators are both 12.

So now we have 18 6/12 - 8 5/12, which gives us 10 1/12.

p=23

Is that what you needed?

Answer:

p+7 = 30

p = 23

Step-by-step explanation:

23+7 = 30

Answer:

80

Step-by-step explanation:

You know that 20% of the school band are 16 clarinet players, or 16 is 20% of the band.

You can set up the equation 0.2x = 16 and divide both sides by 0.2. You then get that x = 80, so there are 80 kids in the school band.

Equation represents the given situation is [tex]y = \$(8500- 700x)[/tex].

" Equation is defined as the algebraic expression which represents the relation between variables and the number using sign of equality."

According to the question,

Initial amount is Rodriguez account [tex]= \$8500[/tex]

Plans to spend a month from his account [tex]= $700[/tex]

[tex]'x'[/tex] represents the number of months

Amount spend in [tex]'x'[/tex] months [tex]= 700x[/tex]

[tex]'y'[/tex]  represents the amount left in the account

As per given situation required equation is ,

[tex]y = \$(8500-700x)[/tex]

Hence, equation represents the given situation is [tex]y = \$(8500- 700x)[/tex].

Learn more about equation here

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Answer:

There are 18 teachers in the auditorium.

Step-by-step explanation:

1/9 of 162

1/9 * 162 = 18.

Answer:

student  p= added and subtracted wrongs

stident Q= only subtracted

Step-by-step explanation:

The error of student P is the first step and that of student Q is the third step.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is

-2.5 (1.4 + 3.1) + 6.9 (-4.3)

Using the distributive property,

= (-2.5 × 1.4) + (-2.5 × 3.1) + (6.6 × -4.3)

= -3.5 - 7.75 - 29.67

= - (3.5 + 7.75 + 29.67)

= -40.92

This is the correct way to do the operations.

The error of student P is in the step 1, where the student wrote 7.75 instead of -7.75.

The error of student Q is in the step 3, that when the negative sign is taken out all the signs inside the bracket become positive.

Hence the errors of two students are found.

Learn more about Expressions here :

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Answer:

The value of x is 11.

Explanation:

The opposite sides of a parallelogram being equal, GD will be equal to 17. Equating, the value '11' is obtained.

Answer:

5^3 = 1 2^3

One and two thirds.

Answer:

Step-by-step explanation:

Answer: [tex]x(x+4)[/tex]

Step-by-step explanation:

Given

The rug is 4 feet longer than its width

Suppose the length of the width is x

Length is given by x+4

So, the product of length and width is equal to the area of the rug

[tex]\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}][/tex]

Answer:

1.1 : C - x^2 + x - 2

1.2 : A - 4a^2 - 6b^2 + 12

Step-by-step explanation:

When we have the expression p(x) - q(x), we can substitute those functions in:

(x^2 + 2x - 5) - (x - 3)

We can distribute:

x^2 + 2x - 5 - x + 3

and then combine like terms(2x & -x, -5 & 3)

x^2 + x - 2

This is the same as C.

We can start by distributing:

a^2 - 2b^2 + 3 - 4b^2 + 5 + 3a^2 + 4

Now, we can combine all the a^2 terms(a^2 & 3a^2):

4a^2 - 2b^2 + 3 - 4b^2 + 5 + 4

Then, we can combine the b^2 terms(-2b^2 & -4b^2):

4a^2 - 6b^2 + 3 + 4 + 5

and lastly, all the constants:

4a^2 - 6b^2 + 12

This aligns with option A

Answer: A . Drivers older than 65 had no DUIS I just did it on USA test prep.

Step-by-step explanation:

Answer:

0.5 ft^2

Step-by-step explanation:

The area in square inches is (6 in )(12 in) = 72 in^2.

Recall that 1 ft^2 = 144 in^2.

Then

  72 in^2         1 ft^2

--------------- * --------------- = 0.5 ft^2

         1           144 in^2

Answer:

A and B

Step-by-step explanation

Answer:

3,888

Step-by-step explanation:

..

Answer: 15.64

Step-by-step explanation:

kahn

Answer:

A

Step-by-step explanation:

So lets look at the points on the graph.

Actually, lets just look at a and b(We only need 1 of these points, but it doesnt hurt to do a little extra to udnerstand it better)

If we count the coordinates for A, we get:

(-2, 3)

Remember, we need to use a scale factor of 2 for this.

So we need to multiply by 2.

This now gets us:

(-4. 6)

This looks like answer A, which has:  (-4, 6) for A coordinates.

Now, lets check this with B coordinates:

(1, 3)

Multiply by 2:

(2, 6)

For answer A, is this the B coordinates?

Yup, answer A has B coordinates (2, 6)

So the answer is A!

Hope this helps! :)

Answer:

60%

Step-by-step explanation

Answer:

60

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Given

A = (1/4, 3)

B = (1/2, 4.5)

To get the coordinate of C as 7/4, what was done was to first take the difference in the x coordinates and then dilate the result by 7

To get the y coordinate;

Difference = 3 - 4.5

Difference = -1.5

This is done y multiplying the result by 7;

y coordinate = 1.5 * 7

y coordinate = 10.5

Hence its y-coordinate is 10.5