2x + 4x - 21 = 0
6x - 21 = 0
6x = 21
x=3.5
Answer:
A
Step-by-step explanation:
A is correct. The graph of the basic exponential function neither touches nor crosses the x-axis, whereas a linear function does cross over and can be negative for some inputs.

+

equals

.
First, simplify

to

and also

to

. Your problem should look like:

+

.
Second, find the least common denominator of

and

to get 9.
Third, make the denominators the same as the least common denominator (LCD). Your problem should look like:

+

.
Fourth, simplify to get the denominators the same. Your problem should look like:

+

.
Fifth, join the denominators. Your problem should look like:

.
Sixth, simplify. Your problem should look like:

, which is the answer.
Answer:
The sequence is:
10, 30, 50, 70, 90.....................
Step-by-step explanation:
We have,
First term (a) = 10
Common difference (d) = ?
Sum of first 5 terms (
) = 250
or, ![\frac{n}{2} [{2a+(n-1)d}] = 250](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%20%5B%7B2a%2B%28n-1%29d%7D%5D%20%3D%20250)
or, ![\frac{5}{2} [2*10 + 4d]=250](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%5B2%2A10%20%2B%204d%5D%3D250)
or, ![\frac{5}{2} * 4[5+d]=250](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%2A%204%5B5%2Bd%5D%3D250)
or, 10(5 + d) =250
or, 5 + d = 25
∴ d = 20
Now,
2nd term = a + d = 10 + 20 = 30
3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50
4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70
5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90
Answer:
Alyssa had scored 3 goals today.
Step-by-step explanation:
Given:
Number of goals scored yesterday = 
Total number of goals scored in 2 games = 4
We need to find the number of goals scored today.
Solution:
Now Given:
Today she scored 3 times as many goals than yesterday.
So we can say that;
Number of goals scored today = 
Now we know that;
Total number of goals scored in 2 games is the sum of Number of goals scored yesterday and Number of goals scored today.
framing in equation form we get;

Dividing both side by 4 we get;

Number of goals scored yesterday = 1
Number of goals scored today = 
Hence Alyssa had scored 3 goals today.