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3 years ago

QUICK ALGEBRA 2 HELP PLEASE. NEEDED ASAP! 3 Q'S!

Mathematics

1 answer:

Goshia [24]3 years ago

7 0

1. x -    4
x - 6|x² - 10x + 24
- (x² - 6x)
-4x + 24
- (4x + 24)
0
The answer is C.

2. A. 9x² + 12x - 3
3(x²) + 3(4x) - 3(1)
3(x² + 4x - 1)

B. 9x² + 3x - 5
Not Factored

C. 6x² + 10x - 4
2(3x²) + 2(5x) - 2(2)
2(3x² + 5x - 2)
2(3x² + 6x - x - 2)
  2(3x(x) + 3x(2) - 1(x) - 1(2))
  2(3x(x + 2) - 1(x + 2))
  2(3x - 1)(x + 2)

D. 6x² + 7x - 6
Not Factored

The answer is C.

3. 3x³ - 4x² + 3x - 6
x + 2|3x⁴ + 2x³ - 5x² + 0x - 4
- (3x⁴ + 6x³)
-4x³ - 5x²
- (-4x³ - 8x²)
3x² + 0x
  - (3x² + 6x)
-6x - 4
  - (-6x - 12)
8
The answer is A.

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Wilma can mow a lawn in 60 minutes. Rocky can mow the same lawn in 40 minutes. How long does it take for both Wilma and Rocky to

UNO [17]

<h3>Answer: 24 minutes</h3>

===================================================

Explanation:

Let's say the lawn is 120 square feet. I picked 120 as it is the LCM (lowest common multiple) of 60 and 40.

Since Wilma can mow the lawn in 60 minutes, her rate is 120/60 = 2 sq ft per minute. In other words, each minute means she gets 2 more square feet mowed. Rocky can do the full job on his own in 40 minutes, so his rate is 120/40 = 3 sq ft per minute.

Their combined rate, if they worked together (without slowing each other down), would be the sum of the two rates. So we get 2+3 = 5 sq ft per minute as the combined rate. The total time it would take for this 120 sq ft lawn is 120/5 = 24 minutes.

--------------------------

Another approach

Wilma takes 60 minutes to do the full job, so her rate is 1/60 of a lawn per minute. Rocky's rate is 1/40 of a lawn per minute. Their combined rate is

1/60 + 1/40 = 2/120 + 3/120 = 5/120 = 1/24 of a lawn per minute

x = number of minutes

(combined rate)*(time) = number of jobs done

(1/24)*x = 1

x = 1*24

x = 24 is the time it takes if they worked together without getting in each other's way.

Effectively, we are solving the equation

1/A + 1/B = 1/C

with

A = time it takes Wilma to do the job on her own

B = time it takes Rocky to do the job on his own

C = time it takes the two working together to get the job done

The equation above is equivalent to C*(1/A + 1/B) = 1 or (1/A + 1/B)*C = 1.

So basically you find the value of 1/A + 1/B, then find the reciprocal of this to get the value of C.

3 0

4 years ago

So at this rate how many pints can you afford for $20.00

julia-pushkina [17]

Since 1 pint cost 4$

20/4=5

So 5 pints for $20

4 0

4 years ago

-3 1/2 + ( -6 1/2) = 5/8 - {-2/8} = - 9/10 - 2/5 = 6 3/5 - (-2 1/5)

marin [14]

Answer:

-3 1/2 + ( -6 1/2) = -10

5/8 - {-2/8} = 7/8

- 9/10 - 2/5 = -4

6 3/5 - (-2 1/5) = 44/5

Step-by-step explanation:

-3 1/2 + ( -6 1/2) = -7/2 + (-13/2) = -20/2 = -10

5/8 - {-2/8} = 5/8 + 2/8 = 7/8

- 9/10 - 2/5 = -18-2/5 = -20/5 = -4

6 3/5 - (-2 1/5) = 33/5 + 11/5 = 44/5

4 0

3 years ago

Rashaads sister gives him 2 pack of cards per month and 3 extra packs for his birthday there are 11 cards in a pack. How many ca

Ray Of Light [21]

Answer: he got 297 cards in a year.

Step-by-step explanation:

There are 12 months in a year. Rashaads sister gives him 2 pack of cards per month. This means that in a year, his sister would give him

2 × 12 = 24 packs of cards.

If there are 11 cards in a pack, then the number of cards that his sister gives him in a year would be

24 × 11 = 264 cards.

He also gets 3 extra packs for his birthday. It means that the number of cards that he gets for his birthday would be

3 × 11 = 33 cards.

Therefore, the total number of cards that he gets in a year is

264 + 33 = 297 cards

4 0

3 years ago

Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Supp

IgorC [24]

Answer:

The probability that Leon strikes is greater than Carlton strike is 0.40905

Step-by-step explanation:

From the question, we have;

The percentage of Carlton's rolls are strikes, $\hat p_1$ = 70%

The number of games Carlton played, n₁ = 25

The percentage of Leon's rolls that are strikes, $\hat p_2$ = 67%

The number of games Leon played, n₂ = 25

Therefore, we have;

$\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}$

Where;

k₁ = 0.7 × 25 = 17.5

k₂ = 0.67 × 25 = 16.75

$\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685$

The test statistic is given as follows;

$Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}$

$Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283$

From the z-table, we have;

The p-value for Carlton strikes is greater than Leon's strike = 0.59095

∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905

The probability that Leon strikes is greater than Carlton strike = 0.40905

8 0

3 years ago