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Phoenix [80]
3 years ago
6

For what natural numbers a is the number 2a+3/a equal to 5/2?

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

Step-by-step explanation:

2a + 3 / a = 5/2

5a = 4a + 6

a = 6

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Find the following equation
adoni [48]

Answer:

y=\frac{-1}{2}x+7

Step-by-step explanation:

Slope intercept form: y=mx+b when m is the slope of the line and b is the y-intercept (the y-coordinate of the point the line crosses the y-axis)

<u>1) Find the slope (</u>m<u>)</u>

m=\frac{y_2-y_1}{x_2-x_1} when the points are (x_1,y_1) and (x_2,y_2)

We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

m=\frac{0-7}{14-0}\\m=\frac{-7}{14}

Simplify the fraction

m=\frac{-1}{2}

So far, our equation looks like this:

y=\frac{-1}{2}x+b

<u>2) Find the y-intercept (</u>b<u>)</u>

The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.

Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, b=7.

Now, this is our final equation after plugging in m and b:

y=\frac{-1}{2}x+7

I hope this helps!

3 0
3 years ago
PLEASE HELPP! Question 1: Factorise each of the following (a) x² + 7x + 12 (b) x² + 6x + 8 (c) x² + 5x + 6 (d) x² + 8x + 7
Liula [17]

Answer:

<em><u>Using the mid-term break formula for all of them.</u></em>

a) x²+7x+12

= x²+3x+4x+12

= x(x+3)+4(x+3)

= (x+4)(x+3)

b) x²+6x+8

= x²+2x+4x+8

= x(x+2)+4(x+2)

= (x+4)(x+2)

c) x²+5x+6

= x²+2x+3x+6

= x(x+2)+3(x+2)

= (x=3)(x+2)

d) x²+8x+7

= x²+7x+x+7

= x(x+7)+1(x+7)

= (x+1)(x+7)

6 0
4 years ago
Read 2 more answers
Help is much appreciated!!<br><br>Find the value of T.<br><br>A. 12 B. 5 C. 4 D. 16
cupoosta [38]
A because
The value
Of t
Is going
To be
12
6 0
3 years ago
Solve the proportion for t 15:75=30:t
Dominik [7]
The answer is 150.
15(2)=30 so
75(2) is 150
5 0
3 years ago
In order to make the expression below equivalent to ğ x + 6, which additional operation should be included in the
kakasveta [241]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
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