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3 years ago

Write the numbers in order from least to greatest. 8/10, -.82, 2.5, -9.5

Mathematics

1 answer:

Art [367]3 years ago

6 0

Answer: -9.5, -.82, 8/10, 2.5

Step-by-step explanation:

-9.5 is the least because the bigger the negative number is the smaller it's value is (opposite of positive numbers)

-.82 same thing

8/10 or .8

2.5 same thing as 2.50 so what is greater $2.50 or $0.80 exactly 2.50 is greater so it's the greatest

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Please help me! Find the number x such that f(x) =1

STatiana [176]

Answer:

Step-by-step explanation:

We have the piecewise function:

$f(x) = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

And we want to find x such that f(x)=1.

So, let's substitute 1 for f(x):

$1 = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

This has two equations. So, we can separate them into two separate cases. Namely:

$1=-\frac{1}{2}x-1\text{ or } 1=x$

Let's solve for x in each case.

Case I:

We have:

$1=-\frac{1}{2}x-1$

Add 1 to both sides:

$2=-\frac{1}{2}x$

Let's cancel out the fraction by multiplying both sides by -2. So:

$2(-2)=(-2)\frac{-1}{2}x$

The right side cancels:

$-4=x\\$

Flip:

$x=-4$

So, x is -4.

Case II:

We have:

$1=x$

Flip:

$x=1$

This is the solution for our second case.

So, we have:

$x_1=-4\text{ or } x_2=1$

Now, can check to see if we have to to remove solution(s) that don't work.

Note that x=-4 is the solution to our first equation.

The first equation is defined only if x is less than -2.

-4 is less than -2. So, x=-4 is indeed a solution.

x=1 is the solution to our second equation.

The second equation is defined only if x is greater than or equal to -2.

1 is greater than or equal to -2. So, x=1 is also a solution.

Therefore, our two solutions are:

$x_1=-4\text{ or } x_2=1$

Out of our answer choices, we can pick D.

And we're done!

7 0

4 years ago

You start driving north for 12 miles, turn right, and drive east for another 16 miles. At

Oxana [17]

Answer:

A^2+B^2=C^2

Step-by-step explanation:

12=a

16=b

this is the pythagoreon theorem

4 0

3 years ago

Which of the following is the square root of 17 to the nearest tenth? A) 2.9 O B) 2 O C) 4.1 OD) 6.9

katrin2010 [14]

Answer: 4.1

Step-by-step explanation:

8 0

3 years ago

66768 in scientific notation

77julia77 [94]

6.6766*10^4 is that number in scientific notation

5 0

3 years ago

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

f(x) increases by 2 as x increases by 1 x value.

We know it isn't A since and x value plue 2 would not equal the y value.

But if you multiply each x-value by 2 you get f(x)

8 0

3 years ago

Read 2 more answers