Answer:
x = 7/5 or x = (-7)/5
Step-by-step explanation:
Solve for x over the real numbers:
49 - 25 x^2 = 0
Multiply both sides by -1:
25 x^2 - 49 = 0
x = (0 ± sqrt(0^2 - 4×25 (-49)))/(2×25) = ( ± sqrt(4900))/50:
x = sqrt(4900)/50 or x = (-sqrt(4900))/50
sqrt(4900) = sqrt(4×25×49) = sqrt(2^2×5^2×7^2) = 2×5×7 = 70:
x = 70/50 or x = (-70)/50
70/50 = 7/5:
x = 7/5 or x = (-70)/50
(-70)/50 = -7/5:
Answer:x = 7/5 or x = (-7)/5
S10 = -150;
<span> the sum of next 10 terms = S20 - S10 => -550 = S20 + 150 => S20 = -700;
</span>S10 = -150 => 2a1 + 9r = -30;
S20 = -700 => 2a1 + 19r = -70;
Then 10r = -40 => r = -4 , and, 2a1 -36 = -30 => 2a1 = 6 => a1 = 3;
There will be 54 students on the Track team.
1.) 0.09 x 600
2.) 54
To check this answer, follow these steps
1.) 54 divide by 600
2.) 0.09
That means 54 is 0.09% of 600
Answer:
- Function: B
- Not a function: A, C
Step-by-step explanation:
A relation is a function if there is only one y-value for each x-value. If you can draw a vertical line on the graph that intersect more than one point, the relation is not a function. (This is the "vertical line test.")
<h3>Application</h3>
Graph A: there are 3 y-values associated with x=2. Not a function.
Graph B: passes the vertical line test: A function.
Graph C: there are 2 y-values at each of x=1 and x=2. Not a function.
The equation above is the intercept form. Both a-term and b-term are the roots of equation.
These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.
Here we can convert the expression x+1/3 to this.
Rewrite the equation.
Simplify by multiplying both expressions.
<u>Answer</u><u> </u><u>Check</u>
Substitute the given roots in the equation.
The equation is true for both roots.
<u>Answer</u>