Solve for x. Round your answer to the nearest tenth
19
16

Answer for question A:

Answer:

C. [tex] \sqrt{x + 2} - \sqrt{x}[/tex]

Step-by-step explanation:

[tex] \frac{2}{ \sqrt{x} + \sqrt{x + 2} } \\ \\ = \frac{2}{ (\sqrt{x} + \sqrt{x + 2}) } \times \frac{(\sqrt{x} - \sqrt{x + 2})}{(\sqrt{x} - \sqrt{x + 2})} \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ ({ \sqrt{x} )}^{2} - {( \sqrt{x + 2} )}^{2} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - {( x + 2)} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - x - 2 } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ - 2 } \\ \\ = - ( \sqrt{x} - \sqrt{x + 2}) \\ \\ \frac{2}{ \sqrt{x} + \sqrt{x + 2} } = \purple{ \bold{\sqrt{x + 2} - \sqrt{x} }}[/tex]

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An exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: P_T = 1700(1.08)^T

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Instead of calculating the interest on the initial amount, the compound interest repeats calculating interest on (old amount + interest to be paid).

For this case, we're specified that:

Let P be the inital amount, and r be the rate of interest compounding per unit of time (in decimal)

Let [tex]P_t[/tex] be the amount after t unit of time(same unit as the interest).

Then after 1 year, the new amount would be:
[tex]P_{t+1} = P_t + 100r \%\text{ of }P_t}\\P_{t+1}= P_t + P_t \times r\\P_{t+1} = P_t(1+r)[/tex]

Thus, we get:
[tex]P_t = P_{t-1}(1+r) = P_{t-2}(1+r)(1+r) = P_{t-2}(1+r)^2\\\\P_t = P_{t-t} (1+r)^t = P_0(1+r)^t[/tex]

where P₀ is the initial amount (as amount at t = 0 is initial amount)

Thus, we get:

[tex]P_t = P(1+r)^t[/tex]

Here, putting P = 1700, r = 0.08, and t = T, we get:

[tex]P_T = 1700(1.08)^T[/tex]

Thus, an exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: [tex]P_T = 1700(1.08)^T[/tex]

Learn more about compound interest here:

https://brainly.com/question/11897800

Answer:

Step-by-step explanation:

I think it’s the last one

Answer:

please give me brainlist and follow

Step-by-step explanation:

You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.

Answer:

Point W will be located on the bottom right quadrant.

Step-by-step explanation:

The x variable becomes negative when reflected across the x-axis.

Answer:

The reflected point will be on the 4th qudrant.

Step-by-step explanation:

So, lets remember what each qudrant is. The first one is (+, +).

The secodn one is (+, -)

The third one is (-,+)

And the fourth one is (-,-)

So looking at this, we instantly know that the orginal point is on qudrant 1. Since our number is +7, +4.

Now we have to flip around the x axis. Well, to the left of the quadrant 1 is qudrant 2. To the bottom of qudrant 1 is qudrant 4. We clearly cannot go to the top or right since there arent any more quadrants, and the qudrant 3 is not accesable with our x and y values.

Remember. we arent going left, since that would be crossing the y axis. This means we have to go down, to the bottom.

What is below qudrrant 1? As I said above, that would be quadrant 4.

Answer:

Quadrant 4

Hope this helps!

Answer:

what do you mean be more clear

Step-by-step explanation:

Answer:

A) -25

Step-by-step explanation:

[tex]f(x)=|x+2|\\[/tex]

[tex]g(x)=-x^{2}[/tex]

[tex](gof)(x)=g(f(x))=g(|x+21|)\\[/tex]

[tex](gof)(x)=-(|x+21)^{2}[/tex]

[tex](gof)(3)=-(13+21)^{2}[/tex]

[tex](gof)(3)=-(151)^{2}[/tex]

[tex]=-(5)[/tex]

[tex](gof)(3)=-25\\--------[/tex]

hope it helps...

have a great day!!

the value of "x" is 5 and the value of "y" is 12

Answer:

9

Step-by-step explanation:

8.547  =  9.000

Answer:

x > -1

Step-by-step explanation:

Move the constant to the right

-3x  6 -3

Subtract the numbers

-3x < 3

Divide both sides of the inequality by -3 and flip the inequality sign

x> -1

solution:

x > -1

Because you have more education, you get better income.

Answer:

6

Step-by-step explanation:

The base 2 logarithm of 64 is 6 or log264 = 6.

Answer:

Step-by-step explanation:

Help Plz

If the slice of pizza below has an area of 18.86 cm?, what is the measure of the central angle to the nearest

degree?

8 cm

Answer:

3,850

Step-by-step explanation:

have a good day!!

Answer:

216 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]

Answer: b

Step-by-step explanation:

Options aren't avaible

Answer:

(1 ÷ 1/6) * 6

36 pieces of pizza

Step-by-step explanation:

Given that :

Number of pizzas ordered = 6

Divisions per pizza = 1/6 ;

Hence, 1 full pizza is divided into 1 ÷ 1/6 = 1 * 6/1 = 6 pieces

6 * 1/6(1)

The total pieces of pizzas equals :

6 pieces per pizza * number of pizzas

6 * 6

= 36 pieces of pizza

Answer:

ok, but where are the four questions?

Answer:

Hey mate.....

Step-by-step explanation:

Which questions are you even talking about???????

Lol

Answer:

(100 + 25) / 5

125/5 = 25

18 x (32/16)

18 x 2 = 36

PEMDAS

parentheses, exponents, multiplication, division, addition, subtraction.

Answer:

C.

Step-by-step explanation:

Answer: c 12.3

Step-by-step explanation:

Answer:

-27x - 41

Step-by-step explanation:

Answer attached

Hope it helps:)

Answer: [tex]\$687[/tex]

Step-by-step explanation:

Given

Working hours are [tex]7\ \frac{1}{2}[/tex] for 8 days

Money earned is $11.50 an hour

Total working hours

[tex]=\dfrac{7\times 2+1}{2}\times 8=\dfrac{15}{2}\times 8\\\\=60\ hr[/tex]

Money earned

[tex]=60\times 11.50=\$690[/tex]

After-tax deduction

[tex]\Rightarrow 690-3=\$687[/tex]

Answer:

Step-by-step explanation:

Answer:

x^26

Step-by-step explanation:

Answer:

(x⁴)⁵ × (x)⁶ = x²⁶

Step-by-step explanation:

(x⁴)⁵ × (x)⁶

(x)⁴°⁵ × (x)⁶

(x)²⁰ × (x)⁶

x²⁰ × x⁶

x²⁰⁺⁶ = x²⁶

Thus, (x⁴)⁵ × (x)⁶ = x²⁶

-TheUnknownScientist

Answer:

15/2 miles/hour

Step-by-step explanation:

this is the .answer in the pic

Answer:

Step-by-step explanation: