If you had an equation such as 50%x=20, I would convert the percent to a decimal first. So, 0.50x=20. Then I would change the decimal into a simplified fraction. In this case it is 1/2. So, 1/2x=20. Then I would reciprocate the fraction and multiply that by 20. So x=20*2/1. From this, we would get x=40/1, but the 1 is not necessary, so we can write the final answer as x=40.
Answer:
14. a = 16 14. b = No she doesn't have enough money to buy it
Step-by-step explanation:
14. a = 45 - 17 - 8 - 4 = 16
14.b she only got 16 dollars left and the T-shirt cost 19 dollar
Answer:
37
Step-by-step explanation:
The puppy was originally 37 pounds before it gained 15.
HOPE THIS HELPS!!!!!!
Answer:
y ≥ x^2 - 1
Step-by-step explanation:
First, we can see that the shaded region is above what seems to be a parabola, and we also can see that the lines of the parabola are solid lines (which means that the points on the curve itself are solutions, so the symbol ≥ is used)
Then:
y ≥ a*x^2 + b*x + c
where a*x^2 + b*x + c is the general quadratic equation.
Now let's find the equation for the parabola:
f(x) = a*x^2 + b*x + c
We also can see that the vertex of the parabola is at the point (0, -1)
This means that:
f(0) = -1 = a*0^2 + b*0 + c
= -1 = c
then we have that c = -1
Then:
f(x) = a*x^2 + b*x - 1
Now we can look at the graph again, to see that the zeros of the parabola are at +1 and -1
Which means that:
f(1) = 0 = a*1^2 + b*1 - 1 = a + b - 1
f(-1) = 0 = a*(-1)^2 + b*(-1) - 1 = a - b - 1
Then we got two equations:
a + b - 1 = 0
a - b - 1 = 0
from this we can conclude that b must be zero.
Then:
b = 0
and these equations become:
a - 1 = 0
a - 1 = 0
solving for a, we get:
a = 1
Then the quadratic equation is:
f(x) = 1*x^2 + 0*x - 1
f(x) = x^2 - 1
And the inequality is:
y ≥ x^2 - 1
Answer:
B. subtraction property of inequality
Step-by-step explanation:
