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Amanda [17]
3 years ago
6

Evaluate the piecewise function at the given values of the independent variable

Mathematics
1 answer:
snow_lady [41]3 years ago
3 0
A) For f(-1) we use the part of the piecewise function for when x < 0 because -1 < 0. Plug in -1 for x:

2(-1) + 3 = 1

b) For f(0), we use the part for when x \geq 0.

4(0) + 5 = 5

c) For f(2) we use the part for when x \geq 0.

4(2) + 5 = 13
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Find the midpoint of the line segment with the given endpoints.<br> 1) (-8, 3), (-8,-4)
defon

Answer:

The answer is

<h2>( - 8 \: , \:  -  \frac{1}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} ) \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8, 3), (-8,-4)

The midpoint is

M = ( \frac{ - 8 - 8}{2}  \:   , \:  \frac{3 - 4}{2} ) \\    = ( -  \frac{16}{2}  \: , \:  -  \frac{1}{2} )

We have the final answer as

( - 8 \: , \:  -  \frac{1}{2} )

Hope this helps you

4 0
4 years ago
A movie theater charges $9.50 per movie ticket. If there is an average of 79
erica [24]

Answer:

around $6000 the real answer is $5253.5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
60.3 round to the hundredths
Arte-miy333 [17]

Answer:

60.30

Step-by-step explanation:

Rounded to the nearest 0.01 or the Hundredths Place.

3 0
3 years ago
La suma de dos números es 14 añadiendo 1 al mayor se obtiene el doble del menor cuáles son los dos números. si puede ser explica
elena-s [515]

Answer:

The two numbers are 9 and 5.

Step-by-step explanation:

The question is:

The sum of two numbers is 14, adding 1 to the greatest gives twice the smallest which are the two numbers. if it can be explained please

Solution:

Denote the two numbers by <em>x</em> and <em>y</em>.

It is provided that:

x+y=14...(i)

Also,

x+1=2y\\\Rightarrow x-2y=-1...(ii)

Solve the equations (i) and (ii) by the substitution method as follows:

In equation (ii) substitute <em>x</em> = 14 - y and solve for <em>y</em>:

x-2y=-1\\14-y-2y=-1\\-3y=-1-14\\-3y=-15\\y=5

Substitute <em>y</em> in equation (i) and solve for <em>x</em> as follows:

x+y=14\\x+5=14\\x=14-5\\x=9

Thus, the two numbers are 9 and 5.

4 0
3 years ago
Pam has 4 yards of fabric she needs 2/3 of fabric for each curtain How many curtains can Pam make with the fabric she has?
Liono4ka [1.6K]

Answer: 6

Step-by-step explanation:

Since Pam has 4 yards of fabric and she needs 2/3 yards of fabric for each curtain, the number of curtains that Pam can make with the fabric she has will be the total yards of fabric that she has divided by the fabric needs for each curtain. This will be:

= 4 ÷ ⅔

= 4 × 3/2

= 6

Therefore, she will make 6 curtains

7 0
3 years ago
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