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Gnesinka [82]
3 years ago
13

Factor the trinomial. You many need to check the discriminant to make sure it can be factored. SHOW YOUR WORK.

Mathematics
1 answer:
lbvjy [14]3 years ago
6 0
Check the discriminant (always a good idea).

b^2 - 4ac 
b = -19
c = -15
a = 10

(-19)^2 - 4(10)(-15)
361 + 600
961

Yes it can be factored, but if you like, you could use the quadratic formula.
x = [- (-19) +/- sqrt(961)]/(2 * 10)
x = [19 +/- 31 ] / 20
x = (19 + 31/20
x = (50)/20
x = 5/2

x = [19 - 31] / 20
x = [- 12]/20
x = -3/5

Getting the factors is a little tricky.
(x - 5/2)(x + 3/5) = 0
The first factor is found by putting 
x - 5/2 in that form and multiplying through by 2
1/2 (2x - 5) The 1/2 comes from multiplying by 2. 

The second factor is
1/5 (5x + 3)

So the equation will look like 
1/2(2x - 5)1/5(5x + 3) = 0 If you multiply by 2 you get
(2x - 5)1/5(5x + 3) = 0 and now multiply by 5 you get
(2x - 5) (5x + 3) 

Check
2x*5x - 25x + 6x - 15
10x^2 - 19x - 15 = 0

So everything works out. 
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How much times can 6 go into 48
DENIUS [597]
6 can go into 48 8 times. How I figured out?
Start multiplying from a small number like
6×6= 36
6×7=42
6×8= 48
until you see your number 48, or a number that is lower that 48, but can not go any higher than 48.
6 0
3 years ago
Julie decided to grow a plant from a seed. She measured the height of her plant each day for 30 days.
k0ka [10]

The given formula is f(t) = 0.4t

They want to solve for f(10), replace t in the formula with 10"

f(10) = 0.4(10)

Multiply:

f(10) = 4 centimeters.

4 0
3 years ago
A survey of an urban university (population of 25,450) showed that 870 of 1,100 students sampled supported a fee increase to fun
Katen [24]

Answer:

95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C

Step-by-step explanation:

The confidence interval for a proportion is given as [p +/- margin of error (E)]

p is sample proportion = 870/1,100 = 0.791

n is sample size = 1,100

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (z) at 5% significance level is 1.96.

E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024

Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767

Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815

95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.

5 0
2 years ago
1.Which expression is equivalent to 3(k x k x k)? Show your work
zhuklara [117]

Answer:

3 k^3

Step-by-step explanation:

3(k x k x k)

k*k*k = k^3

3(k x k x k) = 3 k^3

5 0
2 years ago
In Evan's math class, there are 7 boys and 10 girls. Which of the following is the ratio of boys to girls in Evan's math class?​
Taya2010 [7]

Answer:

7/17

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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