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Helen [10]
3 years ago
7

Find the value of c so that the polynomial p(×) is divisible by (x-4). p(×)=cx^3-15x-68​

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:

Step-by-step explanation:

x-4=0

x=4

p(x)=cx^3-15x-68=0

p(x)=c(4)^3-15(4)-68=0

p(x)=64c-60+68=0

p(x)=64c+8=0

p(x)=64c=-8

p(x)=c=-8/64

p(x)=c=-1/8

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Lisa wants to use her calculator to square a two-digit positive integer, but she accidentally enters the tens digit incorrectly.
Svetradugi [14.3K]

Answer: Correct two digit number= 24

Step-by-step explanation:

Let

x= tens digit (wrong one)

and y= zeroes digit

and z= tens digit (right one)

Now according to the statement,

(10x+y)² -  (10z+y)² = 2340

Simplifying this we get

(x-z)(5x+y+5z)= 117= 1 * 3 * 3 * 13

So it could either be

x-z=1 or x-z=3

If we take the x-z=1

then 5x+y+5z=117

which is not possible as maximum value we can get from this is 99.

This leaves us with x-z=3

so 5x+y+5z= 39

Put x=3+z

We get,

y+10z= 24

Now as y and z both are single digits so the only possible numbers to fit these are y=4 and z=2.

Put z=2 in x=3+z , we get x=5

So the numbers become 10x+y= 54

and 10z+y= 24

Their sum is 54+24=78

Check

54²-24²= 2340 so it is correct.

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3 years ago
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3 years ago
Determine if the figures are similar. If they are, what is the scale factor from the first figure to the second figure?
lora16 [44]

Answer:

The scale factor is \frac{3}{2}

Step-by-step explanation:

Yes the figures are similar to each other. The ratio of their linear measurements is in uniform ration

The ration of radius of large cylinder (R) to that of the smaller cylinder (r) is

\frac{18}{12} \\\frac{3}{2}

Like wise the ration of height of large cylinder (H) to that of the smaller cylinder (h) is

\frac{30}{20} \\\frac{3}{2}

The scale factor is \frac{3}{2}

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3 years ago
Which of the following is equivalent to (x-3)(x^2-2x-3)
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What is the following
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3 years ago
What is the solution to the equation 1/4x+2=-5/8x-5
Fed [463]

multiply everything by 8

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2x = -5x-56

+5x on both sides

7x = -56

x=-8

so the first option

5 0
3 years ago
Read 2 more answers
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