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2 years ago

If f (x) = StartRoot one-half x minus 10 EndRoot + 3, which inequality can be used to find the domain of f(x)?

Mathematics

2 answers:

Margaret [11]2 years ago

8 0

Answer:

C. One-half x minus 10 greater-than-or-equal-to 0

Step-by-step explanation:

just olya [345]2 years ago

7 0

The inequality that represents the domain of the function is $\frac 12x - 10 \ge 0$

<h3>How to determine the domain?</h3>

The function is given as:

$f(x) = \sqrt{\frac 12x - 10} + 3$

Set the radicand greater than or equal to 0

$\frac 12x - 10 \ge 0$

Multiply through by 2

x - 20 ≥ 0

Add 20 to both sides

x ≥ 20

Hence, the domain of the function is x ≥ 20

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3/2 p - 14 = p + 13 <br> Please help

VLD [36.1K]

Answer:

p=54 hope this helps

Step-by-step explanation:

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2 years ago

Can someone find the expression for h in terms of x.

PilotLPTM [1.2K]

The volume of the cylinder is equal to the sum of all spheres
the volume of 1 sphere is V1=4/3×pi×(1/2 x)³
simplified V1=1/6×pi×x²
we conclude that the volume of the cylinder is V2=270V1
V2=45×pi×x³
also the V2 can be calculated from the cylinder
V2= base(circle)×height
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7 0

3 years ago

What is the value of n? 3n + 16 = 7n Enter your answer in the box.

liraira [26]

Subtract 3n and then divide by 4 and you get n= 4

7 0

2 years ago

Read 2 more answers

Answer this by 4:20 EST and I will mark brainliest

Alexxandr [17]

Answer:

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )

m = $\frac{-4-a}{9-6}$ = $\frac{-4-a}{3}$

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide through by - 3 )

y = $\frac{2}{3}$ x - 2 ← in slope- intercept form

with slope m = $\frac{2}{3}$

Parallel lines have equal slopes , then

$\frac{-4-a}{3}$ = $\frac{2}{3}$ , so

- 4 - a = 2 ( add 4 to both sides )

-a = 6 ( multiply both sides by - 1 )

a = - 6 → A

8 0

2 years ago

Find the area???????

Naily [24]

It's obviously none of the above because the true area will have a square root of 3 in it because of the equilateral triangle. They want us to find the approximate area. When I was in school the difference between an approximation and the exact answer was greatly stressed but that seems to be fading of late.

That's a rectangle less an equilateral triangle. The area of an equilateral triangle is $\dfrac{\sqrt{3}}{4} s^2$ which is easily derived but I won't bother here.

$A = 18(8) - \dfrac{\sqrt 3}{4} (8^2) = 144 - 16 \sqrt 3 \approx 116.3$

Answer: b

6 0

3 years ago