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docker41 [41]
4 years ago
11

Two consecutive integers have a sum of 513. find the smaller of these two number

Mathematics
2 answers:
nexus9112 [7]4 years ago
5 0
513/2=256.5
which means 256 and 257 are the answers
Alona [7]4 years ago
4 0

Answer:

<em>The smaller of these two number is 256.</em>

Step-by-step explanation:

Suppose, the two consecutive integers are n and n+1

Here, <u>the smaller integer is</u> n and the larger integer is n+1

<u>The sum of two integers is given as</u> 513. So, the equation will be....

n+(n+1)= 513\\ \\ n+n+1= 513\\ \\ 2n+1=513\\ \\ 2n= 513-1\\ \\ 2n= 512\\ \\ n= \frac{512}{2}=256

So, the smaller integer is 256.

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Which of the following tables represents a quadratic function ? Explain how you know .
Aliun [14]
B, the first differences are not the same , that proves it is not linear. The second set of differences are the same this shows it is a quadratic function.

4 0
3 years ago
The present age of father is thrice as old as the age of daughter 5 years ago. If 5 years hence ,the age of father will be twice
pav-90 [236]

Answer:

<em>Hence the daughter's present age is 15 years</em>

<em>The fathers present age is 35 years</em>

<em></em>

Step-by-step explanation:

Let the present age of daughter be x

Let the present age of father be y

5 years ago;

Daughter's age = x - 5

Fathers age = y - 5

If the present age of father is thrice as old as the age of daughter 5 years ago, then;

y - 5 = 3(x-5)

y - 5 = 3x-15

y = 3x - 10 .... 1

In 5 years time;

Daughters age = x + 5

Fathers age = y + 5

If the age of father will be twice the age of his daughter in 5 years time then;

y+5 = 2(x+5)

y+5 = 2x + 10

y = 2x + 5 .....2

Equate 1 and 2;

3x - 10 = 2x + 5

3x - 2x = 5 + 10

x = 15

Since y = 2x + 5

y = 2(15) + 5

y = 35

<em>Hence the daughter's present age is 15 years</em>

<em>The fathers present age is 35 years</em>

<em></em>

3 0
3 years ago
Williams is six years younger than three times Alex's age Williams is 33 years old how old is Alex A 9 years old
Harrizon [31]
W = 3A - 6
W = 33

33 = 3A - 6
33 + 6 = 3A
39 = 3A
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13 = A.....he is 13

8 0
3 years ago
(12y2+17y-4)+9y2-13y+3)
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(12y^2+17y-4)+(9y^2-13y+3)=12y^2+9y^2+17y-13y-4+3=\\\\=21y^2+4y-1
7 0
4 years ago
PLEASEEE I NEED HELPPP!!!!
taurus [48]

Answer:

#carry on learning

mark me as brainliest

Find a point-slope form for the line that satisfies the stated conditions. Slope , passing through (-5,4)

I really need this question answered

By:

I don't see a value for the slope. We need that to set the equation, otherwise I can write an unlimited number of equations that pass through (-5,4).

I'll assume a slope so that you can see how the procedure would work. I like 6, so we'll assume a slope of 6.

The equation for a straight line has the form y = mx + b, where m is the slope and y is the y-intercept, the value of y when x = 0. We want a line that has slope 6, so:

y = 6x + b

We need to find b, so substitute the point (-5,4) that we know is on the line:

4 = 6*(-5) + b and solve for b

4 = -30 + b

b = 34

The line is y = 6x + 34

4 0
3 years ago
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