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Viefleur [7K]
3 years ago
12

The sum of the digits of a two-digit number is 12. the number formed by interchanging the digits is 54 more than the original nu

mber. what is the original number?
Mathematics
1 answer:
Grace [21]3 years ago
4 0
The number is xy
x+y=12

10y+x=54+10x+y

so

x+y=12
minus x both sides
y=12-x
sub that for y

10(12-x)+x=54+10x+(12-x)
120-10x+x=54+10x+12-x
120-9x=66+9x
add 9x both sides
120=66+18x
minus 66 both sides
54=18x
divide both sides by 18
3=x

sub back
y=12-x
y=12-3
y=9

the number is 39
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What is the complete factorization of the polynomial below? x3 + 3x2 + 9x + 27
SVEN [57.7K]
<span><span>x3</span>+3<span>x2</span>−9x−27=<span>(x−3)</span><span>(x+3)</span><span>(x+3<span>)</span></span></span>
6 0
3 years ago
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Zinaida [17]

Answer: x=5

Step-by-step explanation:

7 0
4 years ago
Which expression represents a factorization of 32m + 56mp?
Brilliant_brown [7]

Answer:

The answer is option D

Step-by-step explanation:

32m + 56mp

First factor out the HCF out

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next factor m out

We have the final answer as

<h3>8m( 4 + 7p)</h3>

Hope this helps you

8 0
3 years ago
Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163
larisa86 [58]
To solve this we are going to use the average rate of change formula: A(x)= \frac{f(b)-f(a)}{b-a}
where
A(x) is the average rate of change of the function
f(a) is the position function evaluated at a
f(b) is the position function evaluated at b
a is the first point in the interval
b is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so a=3 and b=6. Lets replace those values in our formula:
A(x)= \frac{f(b)-f(a)}{b-a}
A(x)= \frac{f(6)-f(3)}{6-3}
A(x)= \frac{6-6^2-2-(3-3^2-2)}{3}
A(x)= \frac{-32-(-8)}{3}
A(x)= \frac{-32+8}{3}
A(x)= \frac{-24}{3}
A(x)=-8

We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>
3 0
3 years ago
Read 2 more answers
Anyone know the answer to this?
Mila [183]
First one is 114
second one is 215.2

let me know if this doesn’t work :)
7 0
3 years ago
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