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3 years ago

Solution to the system of inequalities shown below:

1 answer:

5 0

Letter b. (2,5) is the only one that when plugged into the inequality above still makes the inequality true because 7<=7 and 5>2

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Given that f(x)= x^3/4 +6 a) Find f(4) b) Find f^-1(x) c) Find f^-1(8)

Anna35 [415]

$f(4)=\dfrac{4^3}{4}+6=4^2+6=16+6=22$

$\begin{aligned}\\&y=\dfrac{x^3}{4}+6\\&4y=x^3+24\\&x^3=4y-24\\&x=\sqrt[3]{4y-24}\\&f^{-1}(x)=\sqrt[3]{4x-24}\end$

$f^{-1}(8)=\sqrt[3]{4\cdot8-24}=\sqrt[3]{8}=2$

7 0

2 years ago

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What is the degree measure of an arc 4 pie ft long in a circle of radius 10 ft

Bess [88]

Answer:

ow do you find arc length without the radius?

To calculate arc length without radius, you need the central angle and the sector area:

Multiply the area by 2 and divide the result by the central angle in radians.

Find the square root of this division.

Multiply this root by the central angle again to get the arc length.

The units will be the square root of the sector area angle.

Check your result with Omni Calculator.

Or the central angle and the chord length:

Divide the central angle in radians by 2 and perform the sin function on it.

Divide the chord length by double the result of step 1. This gives you the radius.

Multiply the radius by the central angle to get the arc length.

Check your result with Omni Calculator

Step-by-step explanation:

7 0

3 years ago

Find the common ratio r for the geometric sequence and use r to find the next three terms.

lesantik [10]

Answer:

3240, 9720, 29160

Step-by-step explanation:

7 0

2 years ago

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Consider a 15-year mortgage at an interest rate of 8% compounded monthly. The amount to be mortgaged is $130,000. After the firs

MrMuchimi

The answer is $129,624.32

3 0

3 years ago

3+-√(-3)^2 - 4(5)(-1)

Alona [7]

Answer:

Step-by-step explanation:

Easy way to do this is step by step. Your quadratic, from your entry, must be

$5x^2-3x-1$ .

Step by step looks like this, one thing at a time:

$x=\frac{3+\sqrt{(-3)^2-4(5)(-1)} }{2(5)}$ becomes

$x=\frac{3+\sqrt{9-(-20)} }{10}$ becomes

$x=\frac{3+\sqrt{9+20} }{10}$

and this of course is

$x=\frac{3+\sqrt{29} }{10}$

Do the same with the subtraction sign to get the other solution.

If you're unsure of how to enter it into your calculator, do it step by step so you don't mess up the sign. If you enter it incorrectly, you could end up with an imaginary number when it should be real, or a real one that should be imaginary.

Just my advice as a high school math teacher.

3 0

3 years ago