The suquare root is 10. it is a rational number
If the baker made 5 pounds of icing and used 4/9 of the icing to make decorations, then he used:
5 * 4/9 =
= 20/9 =
= 2 2/9 [of icing]
To find out how much he has left over, we just need to substract 2 2/9 from 5:
5 - 2 2/9 =
= 3 - 2/9 =
= 2 7/9
Answer: The baker has <u>2 7/9</u> of the icing left.
Answer: f(x) = -0.016x² + 1.6x
Step-by-step explanation:
If the lenght of the road over the arch is 100m, we can consider a coordinate plane and say that the road starts at point (0,0) and finishes at (100,0). The vertice of the parabola is at point (50,40), because the maximum height is 40 and it is always in the middle point of the roots.
So, we have
(0,0) (50,40) (100,0)
A quadratic function is always on the form: f(x) = ax² + bx + c
0 = a0² + b0 + c
40 = a50² + b50 + c
0 = a100² + b100 + c
0 = a0² + b0 + c → c = 0 ∴
40 = a50² + b50
0 = a100² + b100
_________________________
2500a + 50b = 40 (*2)
10000a + 100b = 0
_________________________
5000a + 100b = 80
10000a + 100b = 0 (-)
__________________________
-5000a = 80
-a=80/5000
a=-0.016
∴
2500a + 50b = 40
2500.(-0.016) + 50b = 40
-40 + 50b = 40
50b = 80
b = 80/50
b = 1.6
This way f(x) = -0.016x² + 1.6x
Answer:
slope=1 y-intercept=5
Step-by-step explanation:
there isn't much to it, but if you want me to show my work I will
If the denominator does not equal 0, the equivalent expression of 
is 
<h3>How to determine the equivalent expression?</h3>
The expression is given as:
Divide 14 by 7
Apply the law of indices
Evaluate the differences in the exponents
Hence, the equivalent expression of is
Read more about equivalent expressions at:
brainly.com/question/2972832
#SPJ4
