Answer:
Multiply input by 4.
Step-by-step explanation:
So, all we have to do is find the difference between the input/output.
So for the first one.
4y=1x
Divde both sides:
1y=1/4x
Next we have 16y=4x
Divide both sides:
1y=1/4x
Ok, so we now know that y is 1/4x
Or in otherwords, 4x is 1y.
Remember x is input, and y is output.
So we can think of this as the input times 4 equals the output.
This seems to be the second answer.
Hope this helps!
Answer:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
Answer:
1/2
Step-by-step explanation:
5/10 houses gave her chocolate
if you simplify 5/10 by dividing by both the top and bottom by 5 to get 1/2
Answer:
y=-x^2 is just y=x^2 reflected over the x-axis. In other words, the parabola is upside-down.
Step-by-step explanation:
Answer:
x>−7
Step-by-step explanation:
left side:
-8(x-3)+5x
distribute -8 into (x-3)
-8x+24+5x
combine like terms
-3x+24
right side:
9(x+12)
distribute 9 into (x+12)
9x+108
-3x+24<9x+108
Subtract 24 on both sides
-3x< 9x+108-24
combine like terms
-3x<9x+84
Subtract 9x on both sides
-3x-9x<+84
combine like terms again
-12x<84
Multiply both sides by -1 (reverse the inequality)
(-12x)(-1)>84(-1)
12x>-84
divide both sides with 12
x>−7
hope this helps
