I hope it helps you get it right right
Answer
x = 1
Explanation:
Given the following equation
![\begin{gathered} (2x+2)^{\frac{1}{2}}=\text{ -2} \\ \text{According to the law of indicies} \\ x^{\frac{1}{2}}\text{ = }\sqrt[]{x} \\ (2x+2)^{\frac{1}{2}}\text{ = }\sqrt[]{(2x\text{ + 2)}} \\ \text{Step 1: Take the square of both sides} \\ \sqrt[]{(2x\text{ + 2) }}\text{ = -2} \\ \sqrt[]{(2x+2)^2}=-2^2 \\ 2x\text{ + 2 = 4} \\ \text{Collect the like terms} \\ 2x\text{ = 4 - 2} \\ 2x\text{ = 2} \\ \text{Divide both sides by 2} \\ \frac{2x}{2}\text{ = }\frac{2}{2} \\ x\text{ = 1} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%282x%2B2%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Ctext%7B%20-2%7D%20%5C%5C%20%5Ctext%7BAccording%20to%20the%20law%20of%20indicies%7D%20%5C%5C%20x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7Bx%7D%20%5C%5C%20%282x%2B2%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%282x%5Ctext%7B%20%2B%202%29%7D%7D%20%5C%5C%20%5Ctext%7BStep%201%3A%20Take%20the%20square%20of%20both%20sides%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%282x%5Ctext%7B%20%2B%202%29%20%7D%7D%5Ctext%7B%20%3D%20-2%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%282x%2B2%29%5E2%7D%3D-2%5E2%20%5C%5C%202x%5Ctext%7B%20%2B%202%20%3D%204%7D%20%5C%5C%20%5Ctext%7BCollect%20the%20like%20terms%7D%20%5C%5C%202x%5Ctext%7B%20%3D%204%20-%202%7D%20%5C%5C%202x%5Ctext%7B%20%3D%202%7D%20%5C%5C%20%5Ctext%7BDivide%20both%20sides%20by%202%7D%20%5C%5C%20%5Cfrac%7B2x%7D%7B2%7D%5Ctext%7B%20%3D%20%7D%5Cfrac%7B2%7D%7B2%7D%20%5C%5C%20x%5Ctext%7B%20%3D%201%7D%20%5Cend%7Bgathered%7D)
Therefore, x = 1
Answer:
<u>Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.</u>
Step-by-step explanation:
Let's review the information given to us to answer the question correctly:
Total distance of the trip = 750 miles
Time of the trip = 12 hours
Speed of Kathy = 65 mph
Speed of Brian = 55 mph
2. For what length of the time did Kathy and Brian drive?
Let's solve the problem, this way:
x = Time in hours Kathy drove
12 - x = Time in hours Brian drove
Now, let's write our equation to solve for x:
65x + 55 (12 - x) = 750
65x + 660 - 55x = 750
10x = 750 - 660
10x = 90
x = 90/10
x = 9 ⇒ 12 - x = 3
<u>Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.</u>
Answer:
22%
Step-by-step explanation:
Add all the numbers to get the total number of notebooks.
6 + 11 + 7 + 5 + 3 = 32
2. There are 7 purple notebooks. To find the percent chance that Maryam will buy a purple notebook, divide 7 by 32.
7/32 = 0.21875
3. Move the decimal to the right two places.
21.875
4. Round to the next whole number.
22%
Answer:

Step-by-step explanation:
We are given that

f(0)=-3,f(1)=2,f(3)=5 and f(4)=0
We have to find the polynomial
Substitute the value x=0 then ,we get
f(0)=d=-3
Substitute x=1 then we get


(equation I)
Substitute x=3 then we get


(Equation II)
Substitute x=4 then we get

(Equation III)
Equation I multiply by 3 then subtract from equation II
(Equation IV)
Equation II multiply by 4 and equation III multiply by 3 and subtract equation II from III
(Equation V)
Equation IV multiply by 2 and then subtract from equation V



Substitute the value of a in equation IV then we get




Substitute the value of b in equation I then we get



Substitute the values then we get
