Answer: 420 sprouted plants
Step-by-step explanation:
First find the total number of tomato plants in the farm.
= Number of rows * No. of plants per row
= 45 * 14
= 630 plants
2/3 of them have sprouted so the number of sprouted plants is:
= 2/3 * 630
= 420 sprouted plants
Answer:
ƒ(x) = 3(4x - 1)(3x + 2)
Step-by-step explanation:
Your function is: ƒ(x) = 36x² + 15x - 6
1. Remove the common factor
36x² + 15x - 6 = 3(12x² + 5x - 2)
2. Factor the quadratic
(a) Multiply the leading coefficient and the constant
12 × (-2) = -24
(b) Find two numbers that multiply to give -24 and add to give 5.
Possible pairs are 1, 24; 2, 12; 3, 8; 4, 6
One of the numbers must be negative. Start with the numbers near the end of the list.
By trial and error, you will find that 8 and -3 work:
-3 × 8 = -24 and -3 + 8 = 5
(b) Rewrite 5x as -3x + 8x
12x² - 3x + 8x - 2
(c) Factor by grouping the first two and the last two terms
(3x)(4x - 1) + 2(4x - 1) = (4x + 1)(3x + 2)
ƒ(x) = 3(4x -1)(3x + 2)
This is the correctly factored form that you can use to find the zeros.
Answer:
10,36,3,144,6 and 24 in that order
Step-by-step explanation:
sorry if its wrong
Answer:
4
Step-by-step explanation:
you know what to do with a different person and you know what to do with 33rd grade and you know what to do with your child and your family
Answer:
Dillion has 42 quarters and 15 dimes.
Step-by-step explanation:
Let the number of quarters=q
Let the number of dimes=d
Dillon has saved 57 coins in his piggy bank.
Therefore:
q+d=57
Now, 1 dime=$0.10 and 1 quarter=$0.25.
We multiply the value of each coin by the number of coins present.
Since Dillion has a total of $12
Therefore:
0.1d+0.25q=12
We solve the two equations simultaneously.
From equation 1, q=57-d
Substitute q=57-d into 0.1d+0.25q=12
0.1d+0.25(57-d)=12
0.1d+14.25-0.25d=12
0.1d-0.25d=12-14.25
-0.15d=-2.25
Divide both seides by -0.15
d=15
Recall: q=57-d
q=57-15=42
Therefore, Dillion has 42 quarters and 15 dimes.