Answer:
a. True, b. y = (-1/2)x + 8
Step-by-step explanation:
Because the graph is a straight line, that means that the graph is in fact proportional. For the equation, take the form y = mx+b. Plug in the slope, which is -1/2, and the y-intercept, which is 8, which would give you the equation y = (-1/2)x + 8.
So she bought 10 pounds and she need 13 total so
10+x=13
subtract 10 from both sides
x=3
she needs to buy 3 more pounds of potting soil (number of bags depends on how many pounds per bag)
To solve this problem you must apply the proccedure shown below:
1. You have that the the <span>archway is modeled by the equation y=-2x^2+8x and the angle mentioned in the problem is defined by the equation x−2.23y+10.34=0.
</span>
2. Therefore, you must susbtitute y=-2x^2+8x into x−2.23y+10.34=0, as below:
x−2.23(-2x^2+8x)+10.34=0
3. When you apply the distributive property, you obtain:
x−2.23(-2x^2+8x)+10.34=0
x+4.46x^2-17.84x+10.34=0
4.46x^2-16.84x+10.34=0
4. When you solve the quadratic equation, you obtain:
x=3 units
Therefore, the answer is the option D: D. 3 units.
Answer:
1/8
Step-by-step explanation:
Probability of pulling a nickel the first time: 5/10
Probability of pulling a nickel the second time: 5/10 (remember that you are replacing)
Probability of pulling a dime the third time: 5/10
Total probability: 5/10 * 5/10 * 5/10 OR 1/2 * 1/2 * 1/2 = 1/8
im pretty sure this is the answer! i hope this helps! <3