Answer:
Option D.(60, 135)
Step-by-step explanation:
Let
x -----> the number of acres of peas
y ----> the number of acres of carrots
we know that
The inequality that represent the problem is equal to
so
<em>Verify each case</em>
case A) (-50,160)
substitute the value of x and the value of y in the inequality and then compare the result
----> is true
The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number
case B) (80,160)
substitute the value of x and the value of y in the inequality and then compare the result
----> is not true
therefore
The point is not a solution
case C) (75,-200)
substitute the value of x and the value of y in the inequality and then compare the result
----> is true
The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number
case D) (60,135)
substitute the value of x and the value of y in the inequality and then compare the result
----> is true
therefore
The point is a viable solution
Use the quadratic formula to find the solutions:<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a </span></span></span>Substitute the values:
<span><span>a=−1</span><span>a=-1</span></span>, <span><span>b=0</span><span>b=0</span></span>, and <span><span>c=40</span><span>c=40 </span></span> into the quadratic formula and solve for <span>x </span><span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅40)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅40)</span></span></span><span>2⋅-1 </span></span></span>Simplify:
<span><span>x=±2<span>√10</span></span><span>x=±210 </span></span>The result can be shown in both exact and approximate form: <span><span>x=±2<span>√10</span></span><span>x=±210</span></span><span>x≈6.324555,−<span>6.324555
<em />I hope this helps. :)
</span></span>
Answer:
First option is correct.
Step-by-step explanation:
Let amounts of money James may have after he sees Rita be x.
It is given that either James borrowed $12 from his friend Rita or she borrowed $12 from him.
So meeting Rita second time either he will $12 or he will receive $12.
The amounts of money James may have after second meeting with Rita is:
Case 1: If he pays $12.
.... (1)
Case 1: If he receives $12.
.... (2)
On combining equation (1) and (2), we get
Subtract 42.80 from both sides.
It can be written as
Therefore first option is correct.
Answer:
Null hypothesis: The percentage of the members of the healthcare provider who received their flu shot is 48%
Alternate hypothesis: The percentage of the members of the healthcare provider who received their flu shot is not equal to 48%
Step-by-step explanation:
A null hypothesis is a statement from the population parameter which is rejected or accepted (fail to reject) upon testing.
An alternate hypothesis is also a statement from the population parameter which negates the null hypothesis and is accepted if the null hypothesis is proven false.
Answer:
Step-by-step explanation:
1. .....................................................................................................
A. This is a functional relationship as the number of workers depend on the number of job sites.
B. This is a functional relationship as the amount of money is dependent on the number of withdrawals
C. This is a functional relationship as the number of vitamins depend on the number of monkeys
D. This is NOT a functional relationship as the output is a fixed value. The performance and scoring may repeat.
2. .....................................................................................................
<h3>Given</h3>
<h3>To find </h3>
<h3>Solution</h3>
- A/B =
- (62x - 100)/(2x - 3) =
- (31*2x - 31*3 - 7)/(2x - 3) =
- (31(2x - 3) -7)/(2x - 3) =
- 31 - 7/(2x - 3)
Correct option is C.
