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Wewaii [24]
4 years ago
9

Please help me out! Factor the expression. 3x^2-14x-24

Mathematics
1 answer:
valkas [14]4 years ago
8 0

Split the second term in 3x^2 - 14x - 24 into two terms

3x^2 + 4x - 18x - 24

Factor out the common terms in the first two term, then in the last two terms;

x(3x + 4) - 6(3x + 4)

Factor out the common term 3x + 4

<u>(3x + 4)(x - 6)</u>

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A waitress sold 11 ribeye steak dinners and 18 grilled salmon dinners, totaling 592.29 on a particular day. Another day she sold
Rina8888 [55]

Let the cost of 1 ribeye steak dinner = x

The cost of 1 salmon dinner = y

Then,

11x + 18y = 592.29   (1)

16x + 6y = 580.56   (2)

Multiplying the second equation by 3, we get,

48x + 18y = 1741.68   (3)

(3) - (1) gives

37x = 1149.39

x = 31.06

Substituting the value for x in (1), we get,

11(31.06) + 18y = 592.29

341.66 + 18y = 592.29

18y = 250.63

y = 13.92

Hence, the cost of ribeye steak dinner = 31.06 and the cost of grilled salmon dinner = 13.92.

8 0
3 years ago
Eorge sells baseball cards online. He estimates he can make $4.75 per card. If George has 83 cards, using front-end estimation,
qwelly [4]

Answer:

b

Step-by-step explanation:

4.75 rounds to 5 because the 7, 83 rounds to 80 because of the 3. 80*5=400

5 0
3 years ago
Kiran and his cousin work during the summer for a landscaping company. Kiran's cousin has been working for the company longer, s
tia_tia [17]
Kiran earns $8.50 per hour.
7 0
3 years ago
What is the first term for an arithmetic sequence with a12 = 56 and a21=101?
Alenkinab [10]
The first term is -43.

Explanation:

an = a + (n - 1)d

a12 = a + 11d = 56, first equation
a21 = a + 20d = 101, second equation

Subtract the second equation from the first equation, cancelling +a and -a
11d - 20d = 56 - 101
-9d = -45
d = 5

Subtitute d into the first equation
a + 99 = 56
a = -43

a refers to the first term, hence the first term is -43.
4 0
3 years ago
Help please i need answers fast if you help or try to help tysm *hearts*
Tanzania [10]

Answer:

C. 3rd one Fraction 10/24

Step-by-step explanation:

3/4 - 2/6 = 0.41 or = 10/24 or it could be equal to 5/12​ are 10/24, 15/36, 20/48 and 25/60 or as Decimal 0.41

Step-by-step explanation:

Hope This Helped

7 0
2 years ago
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