The problem says that the expression (3x + 5)(5x − 1) <span>represents the area of the floor of the building in square meters. Therefore, to solve this problem you have to follow the proccedure shown below.
1. First, to simplify the expression (3x + 5)(5x − 1) you must apply the distributive property. Then, you obtain:
15x</span>²-3x+25x-5
2. Then, you have:
15x²+22x-5
3. As you can see, the correct answer is the last option: 15x²+22x-5
Answer:
y- intercept is ( 0, -4 )
Step-by-step explanation:
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Answer:
16 yd. This is the park's actual length.
Step-by-step explanation:
Write and solve an equation of ratios:
1 1/4 cm 8 yd
------------ = -----------
2 1/2 cm x
Note that 2(1 1/4 cm) = 2 1/2 cm, so the above equation becomes:
1 8 yd
----- = ---------
2 x
Solving for x, we get x = 16 yd. This is the park's actual length.
The slope-intercept form is y = 2x-3.
<u>Step-by-step explanation</u>:
Given,
- The equation of the line is y=2x+7.
- The general equation of the line is in the form y= mx+c.
- where 'm' represents the slope of the line.
<u>Comparing the given equation with general equation, it can be determined that</u> :
m = 2 and c = 7 (y-intercept).
The given line passes through the point (3,3) which is equal to (x1,y1)
Therefore, x1=3 and y1=3.
Substitute m=2 and the values of (x1,y1) in the slope-intercept form,
The slope-intercept form is (y-y1) = m (x-x1)
(y-3) = 2(x-3)
y = 2x-6+3
y = 2x-3
