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3 years ago

What is an inequality

Mathematics

1 answer:

agasfer [191]3 years ago

3 0

Inequalities are number sentences that compare two numbers. sometimes we use variables when writing inequality’s.

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The mechanics at Giuseppe’s Auto House specialize in changing fuel injection units and transmissions. Last week, they changed 5

Lemur [1.5K]

Answer:

The solution is (2,6)

Step-by-step explanation:

Let

x-----> the number of hours to change a fuel injection unit

y-----> the number of hours to change a transmission

we know that

5x+10y=70 -----> equation A

8x+8y=64 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (2,6)

see the attached figure

4 0

3 years ago

Read 2 more answers

Helppp!! I NEED HELP PLEASE

Elodia [21]

Given:

The table of values for the function f(x).

To find:

The values $f^{-1}(f(3.14))$ and $f(f(-7))$ .

Solution:

From the given table, it is clear that the function f(x) is defined as:

$f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}$

We know that if (a,b) is in the function f(x), then (b,a) must be in the function $f^{-1}(x)$ . So, the inverse function is defined as:

$f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}$

And,

$f^{-1}(f(a))=f^{1}(b)$

$f^{-1}(f(a))=a$ ...(i)

Using (i), we get

$f^{-1}(f(3.14))=3.14$

Now,

$f(f(-7))=f(-12)$

$f(f(-7))=5$

Therefore, the required values are $f^{-1}(f(3.14))=3.14$ and $f(f(-7))=5$ .

5 0

3 years ago

Which answer is correct

andre [41]

Hello from MrBillDoesMath!

Answer:

The first choice, Pi + (-Pi) = 0

Discussion:

Pi is an irrational number. Saying the irrational numbers are closed under addition means if we add two irrational numbers we will get another irrational number. In our case, Pi + (-Pi) = 0, which is correct, BUT 0 is a rational number. This shows the set of irrational numbers is NOT closed under addition.

Thank you,

MrB

7 0

3 years ago

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32

zavuch27 [327]

$Hypotenuse =39cm$ of right angle triangle! .

Step-by-step explanation:

Here we have , A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the length of the other leg is 25 centimeters. The student incorrectly says that the length of the hypotenuse is 7.5 centimeters. We need to find:

We have , One length as 32 cm and other as 25 cm , as

$Perpendicular = 32cm\\Base=25cm$

By Pythagoras Theorem ,

⇒ $Hypotenuse^2 = Perpendicular^2+Base^2$

⇒ $Hypotenuse^2 =32^2+22^2$

⇒ $\sqrt{Hypotenuse^2} =\sqrt{1024+484}$

⇒ $Hypotenuse =39cm$

So , $Hypotenuse =39cm$ of right angle triangle! .

4 0

3 years ago

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In one region, the september energy consumption levels for single-family homes are found to be normally distributed with a mean

tatyana61 [14]

The probability would be 0.1971.

We will calculate a z-score for each end of this interval.

z = (X-μ)/σ

For the lower limit:
z = (1100-1050)/218 = 50/218 = 0.23

For the upper limit:
z = (1225-1050)/218 = 175/218 = 0.80

Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, the lower limit is 0.5910. The area under the curve to the left of, less than, the upper limit is 0.7881. To find the area between them, we subtract:

0.7881 - 0.5910 = 0.1971

6 0

3 years ago

Read 2 more answers