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nikdorinn [45]
3 years ago
12

Can someone explain this I dont understand it

Mathematics
1 answer:
IrinaVladis [17]3 years ago
8 0
Y = mx + b

m is your slope AKA rate of change
b is the y intercept.

from the graph we can see that the y intercept (b) is 15. (look at the y axis and see what point the line crosses on the y, here it is 15, in-between 10 and 20)

slope is rate of change. to figure this out remember slope = rise over run:

slope = \frac{rise}{run}

so pick two points. how much does one point rise after the other point you picked? In the graph it rises 1 square so rise = 1

Now looking at the same two points, how far away from each other are they on the x axis? Looking at the graph they are 2 squares away from each other. so run = 2

Now plug these numbers into the rise over run formula:

slope \: = \frac{1}{2}

Now we have everything we need to put into our formula for a line:

y = mx + b
y = \frac{1}{2} x + 18

For number 16 you should get:

y = \frac{1}{5} x + 3

after you do the same steps again yourself
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All the pupils at a primary school come from one of three villages: Elmswell, Haughley or Woolpit. 1/4 of the pupils come from E
Jlenok [28]

Answer:

<em>680</em>

Step-by-step explanation:

Given that:

All the pupils at a primary school come from one of three villages: Elmswell, Haughley or Woolpit.

\frac{1}{4} of the pupils come from Elmswell

\frac{3}{5} of the pupils come from Haughley

102 pupils come from Woolpit.

To find:

Total number of pupils in the school.

Solution:

Let total number of pupils = 100x

So, number of pupils that come from Elmswell = \frac{1}{4} of 100x

OR

\dfrac{1}{4} \times 100x\\\Rightarrow 25x

And, number of pupils that come from Haughley= \frac{3}{5} of 100x

OR

\dfrac{3}{5} \times 100x\\\Rightarrow 60x

Number of pupils that come from Woolpit = 100x - 25x - 60x \Rightarrow 15x

As per given statement:

15x = 102\\\Rightarrow x =6.8

Number of pupils from Elmswell = 25x = 25 \times 6.8 = 170

Number of pupils from Haughley = 60x = 60 \times 6.8 = 408

Total number of pupils at the school = 100x \Rightarrow 100 \times 6.8=680

7 0
2 years ago
If ∠1 and ∠2 are complementary and m∠1= 17°, what is m∠2?
hichkok12 [17]
Complementary angles add up to 90*. Therefore, the logical answer would be 
D, 77.

5 0
3 years ago
F(x) = 2(2)2 – 3(2) + 7<br> = 2(4) – 3(2) + 7
hammer [34]

Answer:

9

Step-by-step explanation:

2(2)2 -3(2) + 7

2(4) - 6 + 7

8 - 6 + 7

2 + 7

9

5 0
3 years ago
Five guys walk into a bar, how many ways can they sit so as to be arranged from oldest to youngest?
Ipatiy [6.2K]

There are 24 ways in which 5 guys can sit if arranged from oldest to youngest.

We have,

Five guys.

Now,

We know that,

Total number of ways to arranged around a table (n) = (n-1)!

So,

For n = 5,

I.e.

(n - 1)! = (5 - 1)! = 4!

So,

Total number of ways to arranged Five guys rom oldest to youngest (n) = (n-1)!

i.e.

= (5 - 1)! = 4!

We get,

= 4 × 3 × 2 × 1

i.e.

Total number of ways to arranged Five guys rom oldest to youngest (n) = 24.

Hence we can say that there are 24 ways in which 5 guys can sit if arranged from oldest to youngest.

Learn more about arrangement here

brainly.com/question/15032503

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8 0
2 years ago
State the restrictions of 1-x-y/x+y
Ronch [10]

The restriction of the expression as given in the task content is; x +y = 0.

<h3>What is the restriction of the expression?</h3>

The expression in the task content is rational;

(1-x-y)/(x+y).

On this note, the restriction to the expression is the values which render the denominator of the expression equal to 0 and consequently the expression value to undefined.

Hence, the restriction is; x+y = 0.

Read more on undefined rational function;

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7 0
1 year ago
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