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lions [1.4K]
2 years ago
6

Solve 7x + 1 < 4(x - 2).

Mathematics
2 answers:
gayaneshka [121]2 years ago
5 0
Your answer would be x<<span>−<span>3</span></span>
lisov135 [29]2 years ago
3 0
<span>7x+1 < 4(x-2) simplify gives
7x+1 < 4x-8 and collect terms...
3x < -9 i'd solve it as an equality
3x = -9 giving
x = -3 see if zero is in the solution set
7*0 +1 < 4(0-2)
1 < -8 false so
x < -3 (doesn't contain zero)

and: x < - 3
I hope this helped!
</span>
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Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Ostrovityanka [42]

Answer:

(a) and (f)

Step-by-step explanation:

Given

y = 5x + 12

See attachment for table and options

First, we calculate the slope of the table

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) = (2,29)

(x_1,y_1) = (4,53)\\

So, we have:

m = \frac{53- 29}{4 - 2}

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The equation is then calculated using:

y = m(x -x_1) + y_1

This gives:

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y = 12x+5

So, we have:

y = 5x + 12 --- The given equation

and

y = 12x+5 --- The equation of the table

An equation is represented as:

y = mx + b

Where:

m = slope or rate of change

b = y intercept

So, for the given equation: y = 5x + 12

Rate of change = 5

y intercept = 12

For the table: y = 12x+5

Rate of change = 12

y intercept = 5

In conclusion:

(a) y = 12x+5 has the greater rate of change:

and

(f) y = 5x + 12 has the greater y intercept

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