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4 years ago

What is the Greatest Common Factor of x4 and x3? (1 point)

Mathematics

2 answers:

Viktor [21]4 years ago

5 0

Answer:

The greatest common factor of $x^4$ and $x^3$ is $x^3$

Step-by-step explanation:

Given: expression $x^4$ and $x^3$

We have to find the greatest common factor of $x^4$ and $x^3$ .

Greatest common factor is the greatest factor so that it divides both the given numbers.

Consider $x^4$ and $x^3$

$x^4$ can be written as x × x × x × x

and $x^3$ can be written as x × x × x

The GDF is the common factor that divides the two given number so $x^4$ and $x^3$ have x × x × x which is equal to $x^3$ common.

So, The greatest common factor of $x^4$ and $x^3$ is $x^3$

denis-greek [22]4 years ago

4 0

The greatest common factor of both x^4 and x^3 would be x^3, since the largest number of X variables that you can evenly take out between both terms is x^3 or x cubed.

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At the grocery store, apples are one price and chocolate bars are another. mary buys three apples and one chocolate bar for $2.7

mafiozo [28]

Answer:

Step-by-step explanation:

Step 1 is to collect the information in a table format. The attached Table1 summarizes what we know in columns 1 - 3. Columns 4 - 6 show the data we're about to calculate, so ignore them for the moment.

.I use A for the price of one apple and C for the price of 1 chocolate bar. We know how many of each are purchased by both Mary and Bill, and the total each paid.

The last column (6) shows the price for each, which comes from the derivation presented below.

We can set the information in columns 1 - 3 into equations:

Mary: 3A+1C = 2.70 [This states that Mary bought 3 apples at a price of A for each apple, and 1 chocolate bar at a price of C per bar.]

Bill: 1A + 4C = 6.40 [In the same fashion, this summarizes how Bill parted with his $6.40]

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Now let's rearrange either equation to solve for C. I'll use Mary's equation:

3A+1C = 2.70

1C = 2.70 - 3A

This tells us that the price of 1 chocolate bar is $2.70 minus the cost of 3 apples. Interesting, but we need the price of a chocolate bar to determine an exact amount.

----

Now take Bill's equation and substitute the value we just derived for the price of a chocolate bar <u>C</u> = (2.70-3A).

1A + 4<u>C</u> = 6.40

1A + 4(2.70 - 3A) = 6.40

1A + 10.80 - 12A = 6.40

-11A = -4.40

A = 0.40 This is the price for 1 apple. This is the value in the last column (6) of attached Table1.

---

Now we can use the value of $0.40 in either equation to find the price of a chocolate bar. I'll use the rearranged equation we developed for Mary:

1C = 2.70 - 3A

1C = 2.70 - 3(0.40) [A = 0.40 from the above work]

1C = 2.70 - 1.20

1C = 1.50

The price of 1 chocolate bar is $1.50. Pricey, and bad for health. But very tasty.

Columns 4 and 5 are the total costs for the apples and bars bought by each, and their sums add up to the amounts we were given at the start of the problem. So our prices must be correct.

3 0

2 years ago

Five swimmers entered a competition. Four of the swimmers have had their turns. Their scores are 10.8s, 10.75s, 10.79s and 10.81

Shalnov [3]

Answer:

10.74s or faster (lower)

Step-by-step explanation:

The lowest time out of all of them is 10.75, so to all the 5th swimmer needs to do to win is to undercut the swimmer who got 10.75s by a 100th of a second. i.e 10.74s or faster (lower) would win.

6 0

3 years ago

THE GRAPH IS BELOW THANKS :) Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day

Vaselesa [24]

Answer:

(a) We will form an equation of line from the points given (6,10) and (2,15)

Using: $y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)$

On substituting the values in the formula above we will get the required equation of line.

$y-10=\frac{15-10}{2-6}\cdot (x-6)$

$\Rightarrow y-10=\frac{5}{-4}\cdot (x-6)$

On simplification we will get:

$y=\frac{1}{4}(-5x+70)$

(b) We need to tell at day 0 put x=0 in above equation:

$y=\frac{1}{4}(-5\cdot 0+70)$

$y=70$

Anika worked for 70 hours on the set up crew on the day the fair arrived at the fairgrounds day 0.

Now, we need to tell decrease per day which is equal to the slope of line

To find the slope compare the equation with general equation which is y=mx+c where m is slope

Here, in $y=\frac{1}{4}(-5x+70)$

$m=\frac{-5}{4}$ which is the decrease per day.

3 0

3 years ago

A shopper bought a 12-pounds bag of orange for 18.72 what is the unit price per

Naddik [55]

I think the answer is $1.56

i hope this helps

8 0

3 years ago

The initial cost for Travis and his band to record their first CD was $1500. Each CD will cost $4 to produce. If they sell their

a_sh-v [17]

C=1500+4x where x is cds, C is cost
R=10x where R is revenue
then, P=R-C
P=10x-1500-4x
P=6x-1500
set P=0
1500=6x
x=250
check, C=1500+4*250, R=10*250
C=250, R=250
They need to sell 250 cds before they make profit

3 0

4 years ago

Read 2 more answers