Answer:
J. The equation has one real solution and two complex solutions.
Step-by-step explanation:
Complex solutions come in pairs, so there can only be an even number of them. So we can rule out G, H, and K.
To find the other roots, we can factor using either long division or grouping. To use long division, see the attached picture. To use grouping:
3x³ − 4x² + x − 10 = 0
3x³ − 6x² + 2x² + x − 10 = 0
3x² (x − 2) + (2x + 5) (x − 2) = 0
(x − 2) (3x² + 2x + 5) = 0
The other factor is 3x² + 2x + 5. The discriminant of this is (2)² − 4(3)(5) = -56. Since the discriminant is negative, the roots are complex.
Answer:
The answer is<em> 4.</em>
Step-by-step explanation:
Olives garden has area=
Each watermelon plants she want to grow require an area=
Hence, the number of watermelon plants she can grow in that garden is given by:
Number of watermelon plants she can grow= (Total area)/( Area 1 watermelon plant requires)
Hence, Number of watermelon plants she can grow=
Hence, she can grow 4 watermelon plants in Olives garden.
Answer:
Answer:
m∠QPT = 110°
Step-by-step explanation:
1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.
2. (Solving)
Step 1: Combine like terms.
Step 2: Subtract 20 from both sides.
Step 3: Subtract 5x from both sides.
Step 4: Check if solution is correct.
3. Now, let's plug in 15 for 6x + 20:
Therefore, m∠QPT = 110°.
Answer:
Step-by-step explanation:
The formula of simple interest is:
Where I is the interest earned after t years
r is the interest rate
is the initial amount
We know that the investment was $20,000 in two accounts
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<u><em>For the first account</em></u> r = 0.07 per year.
Then the formula is:
Where
is the initial amount in account 1 at a rate
during t = 1 year
<u><em>For the second account </em></u>r = 0.05 per year.
Then the formula is:
Where
is the initial amount in account 2 at a rate
during t = 1 year
Then
We know that the final profit was I $1,280.
So
Substituting the values ,
and I we have:
As the total amount that was invested was $20,000 then
Then we multiply the second equation by -0.07 and add it to the first equation:
Then