Answer:
x=1 or x=−2
Step-by-step explanation:
16x2+10x−27=−6x+5
Step 1: Subtract -6x+5 from both sides.
16x2+10x−27−(−6x+5)=−6x+5−(−6x+5)
16x2+16x−32=0
Step 2: Factor left side of equation.
16(x−1)(x+2)=0
Step 3: Set factors equal to 0.
x−1=0 or x+2=0
x=1 or x=−2
We subtract 28 - 16 and get the number of girls
so lets do that
28 - 16 = 12
now we know the unsimplified ratio os 12 to 16
simplifed girls 12 ÷ 4 = 3
simplified boys 16 ÷ 4 = 4
since it says (girls to boys) we put girls first then boys
so it would become 3 : 4
Or the answer is B.) 3 : 4
2194/10000 using prime factorisation method
<span>Distance is equal to rate times time, and time is the unknown in this instance. To find time, divide distance by rate. In this case, Joe wants to use a rate five miles per hour less than his planned speed of 75 miles per hour, which is 70. Dividing 310 miles by 70 miles per hour yields an expected travel time of 4.4 hours.</span>
Answer:
Option B.
Step-by-step explanation:
Remember that the profit is defined as the difference between the revenue and the cost.
So, having a profit y = 0 means that the woodworker did not win nor lose anything.
Then the zeros of the function, the values of x such that the graph intersects the x-axis, are the prices such that she does not win nor loss anything.
In the graph we can see that the zeros are at:
x = 15 (the first one)
x = 70 (the second one)
so the zeros are at x = 15 and x = 70, and these are the prices such that the profit is zero, so at these prices she does not make nor lose money.
The correct option is B.