Answer:
4 623
Step-by-step explanation:
4.623 x 1000
When multiplying by a positive power of 10, move the decimal by the number of zeros
Since we have 3 zeros, move the decimal 3 places to the right
4 623
Answer:
y = 6x +1
Step-by-step explanation:
To write the slope-intercept form equation for a line, you need to know the slope and the y-intercept. These can be found from their respective formulas.
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<h3>slope</h3>
The slope of a line between points (x1, y1) and (x2, y2) is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For points (-1, -5) and (0, 1), the slope is ...
m = (1 -(-5))/(0 -(-1)) = 6/1
m = 6
<h3>y-intercept</h3>
The y-intercept is the value of y where the line crosses the y-axis. That axis is where x = 0. There is a formula that can be used to find the y-intercept from the slope and a point on the line:
b = y -mx . . . . . y-intercept of line with slope m through point (x, y)
However, one of the given points is already the y-intercept: (0, 1). It tells you b=1.
<h3>equation</h3>
The slope-intercept equation is ...
y = mx +b
y = 6x +1
-5 and 21
21 - 5 = 16
21 × (-5) = -105
14. 32 out of the 125 people surveyed preferred Company B. If the same proportion holds for the larger sample, we expect
... (32/125)×750 = 192 . . . . people would prefer Company B
15. There are a total of 45 marbles in the bag, of which 28 are NOT blue. The probability of drawing a NOT blue marble is 28/45.
16. We can desginate the point where the lines meet as O. Angles NOK and MOL are vertical angles, so are equal. The diagram tells you the measure of NOK is 90° + 15° = 105°, so that is the measure of (5x)°. The value of x is
... 105/5 = x = 21
17. Division by a fraction is the same as multiplication by its inverse.
