Answer:
8.5 potatoes per minute
Step-by-step explanation:
Answer:
4 ounces of corn and 4 ounces of squash
Step-by-step explanation:
Let S be the no. of ounces of squash
Let C be the no. of ounces of corn
C》2 --> (A)
S》C --> (B)
Total protein 》 3
½C + ¼S》3 --> (C)
Solve A and C simultaneously
½(2) + ¼S = 3
¼S = 2
S = 8
C = 2, S = 8
Solve B and C simultaneously
½S + ¼S = 3
¾S = 3
S = 4
C = 4, S = 4
Three possible extreme combinations
C = 2, S = 8: Total = 10
C = 4, S = 4: Total = 8
Minimum is 8 ounces
The equation that matches the given table is
y = 10x + 40
Solution:
General equation of a line : y = mx + c
Let us find the equation of the table.
<u>Common differences of X: </u>
0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1
<u>Common differences of Y: </u>
50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10
m = 10
Substitute m = 10 in general equation of a line
y = 10x + c
To find the constant term, substitute x = 0 and y = 40.
40 = 10(0) + c
40 = 0 + c
40 = c
c = 40
Therefore the equation of a line is y = 10x + 40.
Hence the equation that matches the given table is y = 10x + 40.
7. x=3 is the midpoint between the roots. The other root is x = 2*3 -(-5) = 11.
8a) f(x) = (x +3)^2 -49. The vertex is (-3, -49). The roots are -10, 4.
8b) y = (x+4)^2 -1. The vertex is (-4, -1). The roots are -5, -3.
8c) f(x) = 2(x +3)^2 -34. The vertex is (-3, -34). The roots are -3±√17.
Based on the calculations, the amount of money she invested is equal to $3,520.
<h3>How to determine the amount invested?</h3>
First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:
- Let x be the amount of money she invested at 11%.
- Let y be the amount of money she invested at 14%.
Since Lydia invested the same amount of money in both stocks, we have:
x = y ....equation 1.
At the two interest rates, the total amount Lydia gets is given by:
0.11x + 0.14y = 440 ....equation 2.
Solving the equations simultaneously, we have:
0.11y + 0.14y = 440
0.25y = 440
y = 440/0.25
y = $1,760.
Thus, the total investment is given by:
Total investment = 1760 + 1760
Total investment = $3,520.
Read more on interest rates here: brainly.com/question/16793428
#SPJ1
