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daser333 [38]
4 years ago
7

Complete the chain of equivalent fractions

Mathematics
1 answer:
Oksi-84 [34.3K]4 years ago
5 0
2/5: 4/10 8/20 16/40 32/80 64/160 128/320


5/9: 10/18 20/36 40/72 80/144 160/288 320/576
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A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?
KatRina [158]

Answer:

y=3x+4

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

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

m=\frac{y_2-y_1}{x_2-x_1} where two points that the line passes through are (x_1,y_1) and (x_2,y_2)

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3

Therefore, the slope of the line is 3. Plug this into y=mx+b

y=3x+b

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

The y-intercept is given; it is 4. Plug this back into y=3x+b

y=3x+4

I hope this helps!

3 0
3 years ago
How do you write 84% as a fraction, mixed number, or whole number in simplest form?
melomori [17]
0.84 [Decimal] And in simplest form.
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Round 2.496 to the nearest hundredth
julia-pushkina [17]

Answer:2.50

Step-by-step explanation:

8 0
3 years ago
(04.01, 04.02 HC)
lord [1]
I’ve broken it down into the parts that you’ve highlighted:

Part A:
x = 25 + y
x + y = 95

Part B:
I’m using the substitution method to find the amount of time that Eric plays volleyball, so:
x + y = 95
x = 95 - y
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70 = 2y
y = 35, 35 minutes spent playing volleyball

Part C: i don’t completely understand the question, perhaps there was a typo?
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Which function is a quadratic function?
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T(x) is the only function up above where the highest degree is a 2, which is what a quadratic function is: a function of degree 2
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