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Nataly [62]
2 years ago
15

Hi! Can you please help me with problems? If you can, please show work. Thank you!

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
5 0
1.)
x + (x + 1) = 145
2x + 1 = 145
2x = 145 - 1
2x = 144
x = 72

if x is equal to 72
72 + 1 = 73

therefore the 2 integers is 72 and 73

2.
x + (x + 1) + (x + 2) = 54
3x + 3 = 54
3x = 54 - 3
3x = 51
x = 17

numbers are, 17, 18 and 19
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. Find two polynomial expressions whose quotient, when simplified, is 1/x . Use that division problem to determine whether polyn
Sergeeva-Olga [200]

Answer:

The two polynomials are:

(x + 1) and (x² + x)

Step-by-step explanation:

A polynomial is simply an expression which consists of variables & coefficients involving only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables.

Now, 1 and x are both polynomials. Thus; 1/x is already a quotient of a polynomial.

Now, to get two polynomial expressions whose quotient, when simplified, is 1/x, we will just multiply the numerator and denominator by the same polynomial to get more quotients.

So,

Let's multiply both numerator and denominator by (x + 1) to get;

(x + 1)/(x(x + 1))

This gives; (x + 1)/(x² + x)

Now, 1 and x are both polynomials but the expression "1/x" is not a polynomial but a quotient and thus polynomials are not closed under division.

6 0
3 years ago
11.1.30<br> How many three-digit even numbers are possible if the leftmost digit cannot be zero?
Ann [662]

The total number of 3 digit even numbers is 450

Step-by-step explanation:

Step 1 :

We need to determine the  number of 3 digit numbers which is even and the leftmost digit is not zero .

The  3 digits with left most digit not equal to zero starts from 100 and goes up to 998

If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.

Step 2:

The last number l  in this series is 998 .

So we have

a = 100

l = 998

d = 2

The nth term in the arithmetic progression is given by a + (n-1) d

so substituting the above values we get

100 + (n-1) 2 = 998

2n = 900  => n = 450

Step 3 :

Answer :

The total number of 3 digit even numbers is 450

4 0
3 years ago
Can you solve for y plz
vredina [299]
Solve the top equation for x and then substitute that into the bottom equation and solve for y:
Top equation: subtract 4 from both sides to get x = y - 4
Substitution and simplify:
y = 4(y - 4) - 10
y = 4y - 16 - 10
y = 4y - 26
-3y = -26
y = 26/3 or 8 1/3 or 8.333 (those are all the same but in different forms)
8 0
3 years ago
-7b&lt; -35<br> =less than or equal two
timama [110]

Answer:

b>5

=greater than or equal too

Step-by-step explanation:

divide -35 by -5, and since you are dividing by a negative, the sign flips

6 0
3 years ago
Giving brainliest but has to be a actual answer
vaieri [72.5K]

Answer:

2,800 Books to be the same.

3 0
3 years ago
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