Answer:
The answer is option 1.
Step-by-step explanation:
In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).
Option 1,
Option 2,
Option 3,
Option 4,
As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.
Answer:
Step-by-step explanation:
Answer:
its whatever the exponent is
Step-by-step explanation:
<em /><em>PURPLE MARBLES=P
WHITE MARBLES=W
</em>First, write out an equation showing the number of purple marbles.
P=5W-6
Then, write out the main equation.
W+P=96
W+5W-6=96
Add 6 to both sides.
W+5W=102
6W=102
Divide both sides by 6
W=17
Now that we know there are 17 white marbles, we can go back to the equation about how many purple marbles there are.
P=5W-6
Plug in the value for W, which is 17.
P=5(17)-6
P=85-6
P=79
To make sure your answer is correct, check your work by plugging in the values for P+W=96.
79+17=96
Answer: There are 79 purple marbles.
Answer:
(3x + 1) • (3x - 1)
Step-by-step explanation:
Step by Step Solution
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STEP
1
:
Equation at the end of step 1
3x - 1
STEP
2
:
Trying to factor as a Difference of Squares:
2.1 Factoring: 9x-1
Theory : A difference of two perfect squares, A - B can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A - AB + BA - B2 =
A- AB + AB - B2 =
A - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 1 is the square of 1
Check : x is the square of x1
Factorization is : (3x + 1) • (3x - 1)
Final result :
(3x + 1) • (3x - 1)