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
SOVA2 [1]
4 years ago
13

Mr. Vella can build a brick wall in 4 days. His apprentice can build the same wall in 6 days. After working alone for 3 days, Mr

. Vella became ill and left the job for his apprentice to complete. How many days did it take the apprentice to finish the wall?
Mathematics
1 answer:
Vitek1552 [10]4 years ago
6 0
Mr. Vella can build the wall in 4 days, however only works on it for 3 days. That means that he has completed 75% of the and is leaving 25% for his apprentice.

We need to figure out how long it takes the apprentice to build 25% of a wall. We know he can build 100% of a wall in 6 days, so dividing 6 days by 4 will give us our answer.

6/4 = 3/2 = 1.5 days

It took the apprentice 1.5 days to finish the wall.
You might be interested in
Michael buys a computer that is on sale for 10% off the original price. The original price is $38 more than the sale price. What
Alexeev081 [22]

Answer:

380

Step-by-step explanation:

10%->38

100%-> 38÷10×100=380

6 0
3 years ago
Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=-24
Zanzabum

We want to find a polynomial

<em>f(x)</em> = <em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em>

such that the roots of <em>f</em> are <em>x</em> = -3, <em>x</em> = -1, and <em>x</em> = 4, and <em>f(x)</em> takes on a value of -24 when <em>x</em> = -2.

The factor theorem for polynomials tells us that we can factorize <em>f(x)</em> as

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a</em> (<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4)

Expand the right side:

(<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4) = <em>x</em>³ - 13<em>x</em> - 12

So we have

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a x</em>³ - 13<em>a</em> <em>x</em> - 12<em>a</em>

<em />

In order for both sides to be equal, the coefficients of both polynomials on terms of the same degree must be equal. This means

<em>a</em> = <em>a</em> (of course)

<em>b</em> = 0 (there is no <em>x</em>² term on the right)

<em>c</em> = -13<em>a</em>

<em>d</em> = -12<em>a</em>

<em />

We also have that <em>f</em> (-2) = -24, which means

<em>f</em> (-2) = <em>a</em> (-2 + 3) (-2 + 1) (-2 - 4)

-24 = 6<em>a</em>

<em>a</em> = -4

which in turn tells us that <em>c</em> = 52 and <em>d</em> = 48.

So we found

<em>f(x)</em> = -4<em>x</em>³ + 52<em>x</em> + 48

4 0
3 years ago
What is the greatest common factor (GCF) of the numerator and denominator
ad-work [718]

Answer:

C

Step-by-step explanation:

x²+2x-15 = x²-3x+5x-15 = x(x-3)+5(x-3)=(x+5)(x-3)

or delta:

∆=2²-4*1*(-15)=4+60=64

√∆=8

x1 = (-2+8)/2 = 3

x2=(-2-8)/2=-5

and 4x+20 = 4(x+5)

The same is (x+5), so it is GCF. answer C

4 0
3 years ago
Read 2 more answers
Which table identifies the one-sided and two-sided limits of function at x = 2?​
Yuliya22 [10]

Answer:

Table 3

Step-by-step explanation:

Check table three;

lim\:_{x\to \:2^-}\:f\left(x\right)=\:4

lim\:_{x\to \:2^+}\:f\left(x\right)=\:1

Since the left hand limit (lim\:_{x\to \:2^-}\:f\left(x\right)) is not equal to the right hand limit (lim\:_{x\to \:2^+}\:f\left(x\right)),  the limit as x approaches to 2 does not exist.

Therefore "nonexistent" is true, and table 3 is the correct model of the limits of the function at x = 2

6 0
3 years ago
Help help help please!
meriva
For the first one it is 4n^2-4
6 0
4 years ago
Read 2 more answers
Other questions:
  • 2 x 6 ÷ 2 + 1 Best Friends Answer (:
    15·2 answers
  • It takes 60 minutes for 7 people to paint 5 walls. How many minutes does it take for 10 people to paint 10 walls?
    14·1 answer
  • Whats the only place in this world whos fahrenheit and celsius degrees can be equal?
    6·2 answers
  • PLEASE HELP WILL GIVE 50!!! POINTSSSS!!!!
    5·1 answer
  • Why are all 4-digit Fredholl numbers composite?
    5·1 answer
  • The base of a jewelry box is covered with 120 square tiles that are 1 cm on each side. If the volume of the box is 600 centimete
    8·2 answers
  • Andres used 3 pears and 9 apples to make a fruit salad. What ratio represents the number of pears to the number of apples in the
    13·2 answers
  • Find midpoint of 1,-3 and -1,-1
    11·1 answer
  • SOLVE: 1/2 x 1/5 = *
    11·2 answers
  • Pls help me with this mathematics and I will mark you as brainliest pls asaap pls​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!