1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ede4ka [16]
3 years ago
8

3y^2-16y-12 factor by grouping

Mathematics
1 answer:
NISA [10]3 years ago
5 0
(y - 6)(3y + 2)

Take the y^2 coefficient 3 and multiply the constant by it, to get y^2 - 16y - 36

Find two numbers that multiply to 36 and add to -16, which are -18 and 2. Use these numbers as the second term in the polynomial, to get (y - 18)(y + 2).

Divide the numbers by the original coefficient
3, and if there’s a fraction, move the denominator to the coefficient of the variable.

(y - 18/3)(y + 2/3) —> (y - 6)(3y + 2)
You might be interested in
Talia works 6 hours per day on Fridays and Saturdays each week. She earns $8.20 per hour
Simora [160]

<u>Question 1 </u>

Talia works 6 hours on Friday and 6 hours on Saturday. Total Work = 6+6 = 12 hours.

Hourly Rate = 8.20 dollars per hour.

Gross Pay = (Total Work) x (Hourly Rate) = 12 x 8.20 = 98.40 dollars.

Hence, option D is correct i.e. 98.40 dollars.

<u>Question 2 </u>

Mikey worked 8 hours on Wednesday, 6 hours on Thursday and 7 hours on Friday.

Total Work = 8+6+7 = 21 hours.

Gross Pay = 187.95 dollars.

Hourly Rate = (Gross pay)/(Total work) = (187.95)/21 = 8.95 dollars per hour.

Hence, option A is correct i.e. 8.95 dollars per hour.

<u>Question 3 </u>

Nina's Hourly Rate for first 40 hours = 12.25 dollars per hour.

Overtime rate for after first 40 hours = 1.5 x 12.25 = 18.375 dollars per hour.

Total work = 46 hours.

Gross Pay = (Hourly rate)x(first 40 hours) + (Overtime rate)x(Excess time after first 40 hours)

Gross pay = (12.25 x 40) + (18.375 x 6)

Gross pay = 490 + 110.25

Gross pay = 600.25 dollars.

Hence, option A is correct i.e. 600.25 dollars.

<u>Question 4 </u>

Tip amount = 15 dollars.

Meal cost = 75 dollars.

Tip percentage = (Tip amount / Meal cost) x 100

Tip percentage = (15 / 75) x 100 = 20%

Hence, option B is correct i.e. 20%

<u>Question 5 </u>

Weekly Salary = 844 dollars.

Commision Rate = 4% = 0.04

Last week Sales = 3250 dollars.

Last week commission on sales = 0.04 x 3250 = 130 dollars.

Gross pay = Weekly Salary + Commission amount.

Gross pay = 844 + 130 = 974 dollars.

Hence, option C is correct i.e. 974.00 dollars.

5 0
3 years ago
Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the
Alik [6]

Answer:

There are none.

Step-by-step explanation:

<u>No calculus involved:</u>

The line, in slope-intercept form, has equation y=-10x+17, ie is always decreasing (easy to spot applying the definition)

Meanwhile, y=e^{5x} is always increasing over its domain.

At no point the tangent will be decreasing.

<u>Let's use calculus</u>

We are to solve the equation y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2 which has no real solutions.

8 0
3 years ago
I need help with this please!
Gennadij [26K]

Answer:

5ft

Step-by-step explanation:

perimeter=l+l+w+w

l=12

p=24+2w

34-24=10

10/2=5

8 0
2 years ago
X-y=1,y=5<br> What is the answer to this problem ?
Karo-lina-s [1.5K]

Answer: x = 6 y = 5

Step-by-step explanation: coz I juss know

8 0
3 years ago
Read 2 more answers
What number would complete the pattern below? 66 73 13 21 52 __ 10 20
Serhud [2]
The answer is d.61. 66+7=73. 13+8=21. 52+9=61. 10+10=20
3 0
3 years ago
Read 2 more answers
Other questions:
  • Identify a counterexample to disprove n3 ≤ 3n2, where n is a real number.
    14·2 answers
  • What is fo)?<br> O O only<br> 0 -6 only<br> 0-2, 1, 1, and 3 only<br> 0 -6, -2, 1, 1, and 3 only
    12·1 answer
  • Lacy walks 3 miles in one hour. How many feet does Lacy walk in 30 minutes
    13·1 answer
  • The following triangles are similar. Find side AB.
    8·2 answers
  • Find - 2 2/6 + (5/6)
    12·1 answer
  • Complete the two-way frequency table below, which shows the relationship between adults' gender and whether these adults buy a c
    9·1 answer
  • In the sentence "Mathematics is awesome!", which of the following has a ratio of 11:9?
    15·1 answer
  • Can someone help me with this question?
    11·1 answer
  • 21+19=40;19+21=40 a commutative property or associative property
    11·1 answer
  • In your job with the heating contractor you photograph houses with infrared film and use the pictures to determine where to plac
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!