Answer:
B
Step-by-step explanation:
To find the y-intercept, plug in x=0 in the original equation. (You want to find what y is when x=0)
2x + 3y = -12
2(0) + 3y = -12 (Plug in x=0)
3y = -12 (2*0=0, so you can ignore that part)
y = -4 (Divide both sides by 3)
This narrows down our choices to either A or B.
To find the x-intercept, plug in y=0 into the original equation. (You want to find what x is when y=0)
2x + 3y = -12
2x + 3(0) = -12 (Plug in y=0)
2x = -12 (3*0=0, so you can ignore that part)
x = -6 (Divide both sides by 2)
If our x intercept is -6 and our y intercept is -4, that makes our answer B.
Answer: 45.5yds
Step-by-step explanation:
- the radius is simply half of the diameter so: 91 / 2= 45.5yd
- so the radius is 45.5yds
hope this helps :)
F(-1) = -11
f(0) = -9
f(3) = -3
Answer:
Let's calculate:
22-5
• Remove minus in the exponent and invert the base:
= (1/22)5
• Expand the multiplication:
= (1/22) * (1/22) * (1/22) * (1/22) * (1/22)
• Find your result:
= 1/5153632 ≈ 0.000000194038
Answer:
50 gluten-free cupcakes and 100 regular cupcakes.
Step-by-step explanation:
Let's define the variables:
R = number of regular cupcakes sold
G = number of gluten-free cupcakes sold
The total amount of money raised then is:
M = R*$2.00 + G*$3.00
We also know that:
The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.
then:
R = 2*G
And we also know that the amount of money raised is $350
Then we have the equations:
R = 2*G
R*$2.00 + G*$3.00 = $350
We can replace the first equation into the second one, so we have only one variable:
(2*G)*$2.00 + G*$3.00 = $350
Now we can solve this for G.
G*$4.00 + G*$3.00 = $350
G*$7.00 = $350
G = $350/$7.00 = 50
G = 50
50 gluten-free cupcakes where sold.
And using the equation:
R = 2*G = 2*50 = 100
We can conclude that 100 regular cupcakes were sold.
