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Darya [45]
3 years ago
5

What is the slope and y-intercept of the line 3x - 4y = 12?*

Mathematics
1 answer:
Lorico [155]3 years ago
5 0

Answer:

m = 3/4; b = -3    

Step-by-step explanation:

1) First, put the given equation into slope-intercept form. This is so we can identify its slope and y-intercept easily. Isolate y:

3x-4y = 12\\-4y = -3x+12\\y = \frac{3}{4} x-3

2) Lines that are in slope-intercept form are represented by the formula y = mx + b. The number in place of m, or the coefficient of the x-term, represents the slope. The number in place of b represents the y-intercept. So, the slope of  y = \frac{3}{4} x-3  is \frac{3}{4}, and its y-intercept is -3.

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Explain how you decide whether the final answer to a multiplication problem is
Evgesh-ka [11]

Explanation:

Regardless of the number of factors, the product will be negative if an odd number of factors are negative.

In the example, 3 of the factors are negative. 3 is an odd number so the product will be negative.

  -2*-3*-1*1 = -6

_____

Of course, the product will be zero if any factor is zero, regardless of the signs of any other factors.

8 0
3 years ago
The spray from a spinning lawn sprinkler creates a circle with a radius of 50 feet.
grandymaker [24]
A because it can’t be 100 and it can’t be 625 and it can’t be 50 so it has to be A
3 0
3 years ago
Find the common difference for the sequence below. 1/4, 5/16, 3/8,..
vredina [299]

Answer:

the common difference of the sequence is (\frac{1}{16})

Step-by-step explanation:

A sequence of numbers is said to be in arithmetic progression of each term of the sequence has same common difference.

Now, here first term a1 = 1/4

Second term a2 = 5/16

Third term a3 = 3/8

Now, Common difference (d) = a2 - a1 = a3 - a2

Now, a2 - a1 = \frac{5}{16}  - \frac{1}{4}  = \frac{5 - 4}{16}  = \frac{1}{16}

Now, a3 - a2 =  \frac{3}{8}  - \frac{5}{16}  = \frac{6 - 5}{16}  = \frac{1}{16}

Hence, the common difference of the sequence is (\frac{1}{16})

5 0
3 years ago
Alex is tracking how many computers he can fix in an afternoon. He listed the number of computers fixed per hour in the followin
Artist 52 [7]
Answer:
This is a linear function because there is a common difference of 4
⇒ 2nd answer
Step-by-step explanation:
- In the linear function there is a common difference between each two
consecutive data
- In the exponential function there is a common ratio between each two
consecutive data
- Lats check the data in the data in the table
(x) === 1 ⇒ 2 ⇒ 3
f(x) === 4 ⇒ 8 ⇒ 12
∵ x has consecutive numbers 1 , 2 , 3
∵ 8 - 4 = 4
∵ 12 - 8 = 4
∴ f(x) has a common difference 4
∵ 8 ÷ 4 = 2
∵ 12 ÷ 8 = 1.5
∴ f(x) has no common ratio
∴ The table represents a linear function with common difference 4
This is a linear function because there is a common difference of 4
6 0
3 years ago
-2x-7≥41 in algaebra for
dexar [7]

Answer:

They are equal. x= -24

Step-by-step explanation:

-2x - 7 ≥ 41

First you isolate the variable

-2x -7 ≥ 41

    +7     +7

-2x≥48

then divide each side by -2

x≥-24

Then go back and plug in

-2(-24)-7=

48-7=41

Therefore

41=41

4 0
3 years ago
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