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Tpy6a [65]
3 years ago
5

If the points (-3,2),(4,-4) are joined to form a straight line, at what point does the line intersect the y-axis

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0
Construct the line using the two points:
slope: m = (-4 - 2) / (4 + 3) = -6/7;
then, y = mx + b => 2 = (-6/7)(-3) + b => 14/7 - 18/7 = b => b = -4/7.
And your y-intersect is -4/7.
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The first five terms of a pattern are shown.
Andrej [43]

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive term in the sequence, that is

\frac{3}{10} ÷ \frac{3}{100} = 3 ÷ \frac{3}{10} = 30 ÷ 3 = 300 ÷ 30 = 10

This indicates the sequence is geometric with n th term

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = \frac{3}{100} and r = 10 , thus

a_{n} = \frac{3}{100} (10)^{n-1}

    = \frac{3}{10^{2} } × 10^{n-1}

    = 3 × 10^{-2} × 10^{n-1}

    = 3 × 10^{n-3}

Thus

a_{n} = 3(10)^{n-3} → C

6 0
3 years ago
A basketball player made 40% of the shots she attempted.if she made 32 baskets, how many shots did she attend?
malfutka [58]
32 divde by 2 = 16 (50%) 
32 divde by 10 = 3.2 (10%) 
16 - 3.2 = 12.8 (40%)
3.2 times 4 = 12.4 (40%)

You would round the number to the nearest whole because you can't make a . of a shot. Therefore the answer would be that she made 12 shots.

Hope this helps! 
6 0
3 years ago
Tim bought some 25 cent and some 29 cent stamps. He paid 7.60 dollars for 28 stamps. How many of each type of stamp did he buy?
Citrus2011 [14]

Answer:

25 cent stamps = 13 and 29 cent stamps = 15

Step-by-step explanation:

x = 25 cent stamps and y = 29 cent stamps

x + y = 28......x = 28 - y

0.25x + 0.29y = 7.60

0.25(28 - y) + 0.29y = 7.60

7 - 0.25y + 0.29y = 7.60

-0.25y + 0.29y = 7.60 - 7

0.04y = 0.60

y = 0.60 / 0.04

y = 15 <===== 29 cent stamps

x + y = 28

x + 15 = 28

x = 28 - 15

x = 13 <===== 25 cent stamps

lets check it...

0.25x + 0.29y = 7.60

0.25(13) + 0.29(15) = 7.60

3.25 + 4.35 = 7.60

7.60 = 7.60 (correct..it checks out)

8 0
3 years ago
1 Find the slope of a line which passes through the points P(-3, 2) and Q(1, 5)
Arada [10]

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

m = ( y2-y1)/(x2-x1)

    = ( 5-2)/(1 - -3)

    = (5-2)/(1+3)

    = 3/4

7 0
3 years ago
Daisy spent a total of $31 before tax on ice cream. the table below shows the different flavors she bought. a carton of strawber
notsponge [240]
The cost of 1 vanilla ice cream and 1 strawberry ice cream should total to $31. Since you only bought one of each flavor, you simply have to add their unit prices. 

Cost for 1 carton of strawberry ice cream + Cost for 1 carton of vanilla ice cream = Total Cost
Total Cost = s + v  --> this is the general equation

Since s = 1.5 + v, the modified equation would be
Total Cost = 1.5 + v + v
Total Cost = 1.5 + 2v
5 0
2 years ago
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