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Alisiya [41]
2 years ago
13

The polynomial P is graphed.

Mathematics
1 answer:
Gala2k [10]2 years ago
5 0

Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (<em>x</em> + 1).

We can rewrite the binomial as (<em>x</em> - (-1)).

Therefore, <em>a </em>= -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (<em>x</em> + 1) is 3.

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If a barrel has the capacity to hold 75 gallons how many gallons does it contain when it is 3/5 full
shutvik [7]

Answer:

45 gallons

Step-by-step explanation:

Take the total number of gallons and multiply by the fraction it is holding

75 *3/5

75/5 *3

15*3

45

5 0
3 years ago
Read 2 more answers
The vector u = (2700, 3700) gives the number of units of two models of laptops produced by a company. The vector v = (1900, 950)
Scilla [17]
Well, what is 6% of "v"? well, 6% of anything is just 6/100 * anything, so 6% of v is just 6/100 * v or 0.06v

so, v + 0.06v is just 1.06v  <--- that'd be the increased price for <1900, 950>

well, what's that vectors wise?  < 1900 * 1.06  , 950 * 1.06 >

that is <2014 , 1007>

now.. the Revenue is just price * quantity

so, I take it, it's just asking for the dot product of <2014, 1007> • <2700, 3700>

which should just be (2014 * 2700) + (1007 * 3700)
8 0
3 years ago
The length of a rectangle is 3cm greater than its width. the perimeter of the rectangle is 34cm. find its length.​
mamaluj [8]

Answer:

10cm

Step-by-step explanation:

The formula for perimeter is:

P=2(l+w)

Let the width of the rectangle be x then the length would be...

3+x

Now, let's plug these values into the equation and solve. (Note we are also given perimeter is 34 cm):

34=2(x+3+x)\\34=2(2x+3)\\Distribute\ the\ 2\ to\ each\ term\ in\ the\ parentheses\\34=2(2x)+2(3)\\34=4x+6\\Subtract\ 6\ from\ both\ sides\\4x=28\\Divide\ both\ sides\ by\ 4\\x=7

And since the length is x+3 then it is...

x+3=7+3=10cm

4 0
2 years ago
Read 2 more answers
A display of cans in a grocery store consists of 15 rows. There are 45 cans on the bottom , 42 cans on the next row, and so on,
Alchen [17]

Answer:

n = 9

Step-by-step explanation:

20 + 18 + ... + 6 + 4

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

a = 20 ; d = -2 ; n = ?

--------

4 = 20 + (n-1)(-2)

-16 = (n-1)(-2)

---------

n-1 = 8

n = 9

-------

S(9) = (9/2)(20+4)

S(9) = 4.5*24

S(9) = 108

8 0
3 years ago
Help Mr plz I'm tell you I think it 8
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