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MariettaO [177]
3 years ago
11

Pls help me...how do u factor that ?

Mathematics
1 answer:
Leya [2.2K]3 years ago
4 0

Answer:

(2x - 1)(2x + 1)(x - 7)

Step-by-step explanation:

We use grouping to factor.

Step 1: Group 1st 2 terms together and factor

4x³ - 28x²

4x²(x - 7)

Step 2: Group last 2 terms together and factor

-x + 7

-1(x - 7)

Step 3: Combine

(4x² - 1)(x - 7)

Step 4: Factor out quadratic

(2x - 1)(2x + 1)(x - 7)

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19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their p
Lyrx [107]

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

5 0
2 years ago
A flute was originally priced at $500 but went on sale for 80% off. If Lena bought the flute and paid 6% sales tax, how much did
PIT_PIT [208]

Answer:

106$

Step-by-step explanation:

80% off of 500$ is 100$ and 6% of 100$ is 6$ add that and u get 106$

5 0
2 years ago
An online store receives customer satisfaction ratings between 000 and 100100100, inclusive. In the first 101010 ratings the sto
Monica [59]

Complete question is;

An online store receives customer satisfaction ratings between 0 and 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings?

Answer:

50

Step-by-step explanation:

We are told that In the first 10 ratings the store received arithmetic mean of the ratings = 75.

Thus;

Sum of the first 10 ratings = 75 × 10 = 750

Now, for the mean of the first 20 ratings to be at least 85, it means that the sum of the first 20 ratings would be; 85 × 20 = 1700

Thus, the sum of the next 10 ratings would be; 1700 − 750 = 950.

If maximum rating = 100, then the maximum possible value of the sum of the 12th to 20th ratings is given by;

9 × 100 = 900.

Now, in order to make the store have an average of at least 85 for the first 20 ratings, the least value for the 11th rating is;

950 − 900 = 50

7 0
3 years ago
Which is larger 0.7 or 3/4
Ksenya-84 [330]
3/4 is 0.75.
3/4 is larger than 0.7
3 0
3 years ago
Read 2 more answers
Which set has the greatest mode?
Bogdan [553]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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