Answer:
So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}
Step-by-step explanation:
Here multiplicative property will be used .
a*<u>1/a</u>= 1
1* <u>a/1</u>= a ( reciprocal)
23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to
get the original number.
23/147 yd*147/2 × 3/14*147/2
23/2 yds × 441/28
11 1/2 yds × 15 3/4
So the dimensions are 11 1/2 yds × 15 3/4 11 whole number 1 by 2 multiplied by 15 whole number 3 by 4.
Answer is x = -7 and x = -3
<span> x2 + 10x = -21
</span><span> x2 + 10x + 21 = 0
</span>(x +3) (x +7) = 0
(x +3) = 0
and
(x + 7) = 0
so x = - 3 and x = -7
Answer:
Step-by-step explanation:
given are the two following linear equations:
f(x) = y = 1 + .5x
f(x) = y = 11 - 2x
Graph the first equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.
If x = 0, then f(0) = 1 + .5(0) = 1
If y = 0, then f(x) = 0 = 1 + .5x
-.5x = 1
x = -2
The resulting data points are (0,1) and (-2,0)
Graph the second equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.
If x = 0, then f(0) = 11 - 2(0) = 11
If y = 0, then f(x) = 0 = 11 - 2x
2x = 11
x = 5.5
The resulting data points are (0,11) and (5.5,0)
At the point of intersection of the two equations x and y have the same values. From the graph these values can be read as x = 4 and y = 3.
The domain is the set of all possible x-values which will make the function "work", and will output real y-values
there is not a value for x, that makes the function does not "work", so x can take any value, in other words all real numbers
so, the answer is all real numbers
