1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
julia-pushkina [17]
2 years ago
13

Simplify this expression 20f-4(5f+4)+16 Solve step by step

Mathematics
2 answers:
Sloan [31]2 years ago
5 0

20f - 4 (5f + 4) + 16

= 20f - 20f - 16 + 16

= 0

mojhsa [17]2 years ago
5 0

Answer:

<u>0</u>

Step-by-step explanation:

<u>Distribute terms in the parentheses</u>

  • 20f - 4(5f + 4) + 16
  • 20f - 20f - 16 + 16
  • 0 + 0 [20f and -20f, and -16 and 16 cancel out]
  • <u>0</u>
You might be interested in
I need the answer as fast as i can get it!
blondinia [14]

Answer:

The answer should be choice D.

HOPE THIS HELPS! :)

7 0
3 years ago
ㅜ T
melisa1 [442]

Answer:

You firstly multiply 25,5cm with 20cm equals to 510cm then you divide it with 150 equals 3,4cm

Step-by-step explanation:

(25.5cm × 20cm) ÷ 150cm

≈510cm ÷150cm

≈3,4

5 0
2 years ago
Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volu
Otrada [13]

Answer:

the ans is

Step-by-step explanation:

V=πr2h=π·32·6≈169.646

8 0
2 years ago
Are the three angles in a triangle complementary,supplementary,or neither
Leviafan [203]
They are all supplementary to each other because supplementary means that they all add up to 180
3 0
3 years ago
Read 2 more answers
1. Write the equation of the piece-wise function graphed below​.
DaniilM [7]

Problem 4

<h3>Answer:</h3>

f(x) = \begin{cases}2x+4 \text{ if } x < 1\\x-3 \text{ if } x \ge 1\end{cases}

------------------

Work Shown:

The left line goes through (-2,0) and (0,4)

The slope of this line is

m = (y2-y1)/(x2-x1)

m = (4-0)/(0-(-2))

m = (4-0)/(0+2)

m = 4/2

m = 2

The y intercept is b = 4

Since m = 2 and b = 4, this means y = mx+b turns into y = 2x+4. This portion is only done when x < 1. Note the open circle at the endpoint of this portion. So we do not include x = 1 as part of this piece.

---

The line on the right side goes through (1,-2) and (2,-1)

Slope

m = (y2-y1)/(x2-x1)

m = (-1-(-2))/(2-1)

m = (-1+2)/(2-1)

m = 1/1

m = 1

The y intercept is b = -3. You can see this if you extend the line until it crosses the y axis.

Alternatively, plug in (x,y) = (1,-2) and m = 1 into y = mx+b to find that b = -3

So y = mx+b turns into y = 1x+(-3) or just y = x-3

We combine both parts to end up with f(x) = \begin{cases}2x+4 \text{ if } x < 1\\x-3 \text{ if } x \ge 1\end{cases}

This is only graphed when x \ge 1 (note the closed or filled in circle for the endpoint of this portion).

===================================================

Problem 5

Answer:

<h3>f(x) = \frac{1}{2}|x+3| is the absolute value function</h3><h3>while this is the piecewise function</h3>

f(x) = \begin{cases}-\frac{1}{2}(x+3) \text{ if } x < -3\\\frac{1}{2}(x+3) \text{ if } x \ge -3\end{cases}\\

------------------

Work Shown:

y = |x| .... parent function

y = |x+3| ... shift 3 units to the left

y = (1/2)*|x+3| .... vertically compress by factor of 1/2

f(x) = (1/2)*|x+3|

------

Break that down into a piecewise function

when x < -3, then y = -(1/2)(x+3)

when x \ge -3, then y = (1/2)(x+3)

I'm using the rule that y = |x| turns into y = -x when x < 0 and y = x when x \ge 0

So that is how we get f(x) = \begin{cases}-\frac{1}{2}(x+3) \text{ if } x < -3\\\frac{1}{2}(x+3) \text{ if } x \ge -3\end{cases}\\as the piecewise function.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Geometry math question no Guessing and Please show work thank you
    9·1 answer
  • I need help can someone help me
    14·1 answer
  • 1
    10·2 answers
  • There are 12 girls and 8 boys in Ms. Sander’s class. Each day, she randomly asks one student to take attendance. In 180 school d
    8·1 answer
  • −p(d+z)=−2z+59. solve for z.
    8·2 answers
  • Aidan has a rectangular garden that measures 9 m wide by 13 m long.
    9·1 answer
  • For any two nonzero integers, the product and quotient have the same sign
    13·1 answer
  • PLEASE HELPP WILL GIVE BRAINLIEST!!
    11·2 answers
  • What is the difference between the points (-3,4) and (-3,-5)?
    7·1 answer
  • PLEASE HELP DUE IN 15 MINUTES WILL GIVE BRAINLIEST!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!