Answer:
x= 7
Step-by-step explanation:
The equation is 8+4= 2(x-1)
Distribute into the parenthesis.
8+4= 2x-2
Now, add.
12= 2x-2
Add 2 to both sides.
12= 2x-2
+2 +2
Then, divide by 2 to both sides to isolate the variable.
<u>14</u>= <u>2x</u>
2 2
x=7
Answer:
this is only one functions, it means all is correct.
Firstly try to find the number between 100 and 400 which are actually divisible by 13 so
104,117,130………. 390
If you see the above arrangement the difference between numbers are common so we can apply arithmetic progression.
By arithmetic progression, last term can be denoted by
l= a+(n-1)d
Where l=390
a=104
d=13
n=?
390=104+(n-1)13
13n=286+13
n= 299/13
n= 23
So total number of terms =23
By using arithmetic progression sum of all A.P terms = (n/2)(a+l)
Sum = (23/2)(104+390)
=(23/2)*(494)
= 5,681
So answers is 5,681.
Answer:
![21d+25\leq 115](https://tex.z-dn.net/?f=21d%2B25%5Cleq%20115)
Max is 4 days.
Step-by-step explanation:
An inequality is a math statement with more the one solution. The solution has a range of values for which the inequality can be satisfied. It has the same following components as an equation: variables and operations. However, the equal sign is replaced by an inequality sign:
.
We start by choosing a variable for an unknown value. Here is it the number of days he rents the car. We choose d.
We know he rents it for $21 pr day or 21d for any number of days. We also know her will drive 250 miles at $0.10 per mile or 0.10(250). We will combine the two into an expression.
21d + 0.10(250)
We know his limit is $115. This means he can rent the car for any number of days until he reaches $115. The charge must be less than or equal to 115.
So we write
.
To find the number of days he can rent the car, we solve for d using inverse operations.
![21d+0.10(250)\leq 115\\21d+25\leq 115\\21d+25-25\leq 115-25\\21d\leq 90\\\frac{21d}{21} \leq \frac{90}{21}\\d\leq 4.3](https://tex.z-dn.net/?f=21d%2B0.10%28250%29%5Cleq%20115%5C%5C21d%2B25%5Cleq%20115%5C%5C21d%2B25-25%5Cleq%20115-25%5C%5C21d%5Cleq%2090%5C%5C%5Cfrac%7B21d%7D%7B21%7D%20%5Cleq%20%5Cfrac%7B90%7D%7B21%7D%5C%5Cd%5Cleq%204.3)
This means Jim can rent the car up to 4 days. The 5th day will put the cost over $115.
Answer:
x=5 feet
Step-by-step explanation:
At floor level y=0
If the expression is:
![0=1/3(x-5)(x+5)\\0=1/3(x^2-25)\\0=1/3x^2-25/3\\25/3=1/3x^2\\25=x^2\\x=5](https://tex.z-dn.net/?f=0%3D1%2F3%28x-5%29%28x%2B5%29%5C%5C0%3D1%2F3%28x%5E2-25%29%5C%5C0%3D1%2F3x%5E2-25%2F3%5C%5C25%2F3%3D1%2F3x%5E2%5C%5C25%3Dx%5E2%5C%5Cx%3D5)
But, with the negative sign, the answer is x= 5i (where i is imaginary)