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
hammer [34]
3 years ago
10

Step by step PLEASE!!!

Mathematics
1 answer:
blondinia [14]3 years ago
7 0
F(x) = 3x^2+6x-2

= 3(x^2+2x-2/3)
= 3(x^2 +2x + 1 - 1 - 2/3)
= 3((x+1)^2 - 1 - 2/3)
= 3((x+1)^2 -5/3))
= 3(x+1)^2 - 5

So our function is in the form:

f(x) = 3(x+1)^2 - 5
where a = 3, h = -1, k = -5
You might be interested in
The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the
xxTIMURxx [149]

Answer:

Base=8 feet

Height=17 feet

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Using quadratic formula

x= -b +or- √b^2 - 4ac / 2a

= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)

= 7 +or- √49 - (-1632) / 6

= 7 +or- √49+1632) / 6

= 7 +or- √1681 / 6

=7 +or- 41 /6

x= 7+41 / 6 or 7-41 / 6

=48/6 or -34/6

=8 or -17/3

Answer:

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Base of the boat can't be a negative value

Therefore,

Base = x = 8 feet

Height= 3x-7

=3(8)-7

=24-7

=17 feet

3 0
3 years ago
The legs of a isosceles triangle are 0.3 foot less then twice the base . The perimeter of the triangle is 4.9 feet .
REY [17]

Answer:

Hey

Step-by-step explanation:

I bevlive your answer is B. If you multiply the two numbers you get 1.4

3 0
3 years ago
Read 2 more answers
John kept track of how many baskets were made in a basketball game. After 4 minutes, 5 baskets were made.
ivann1987 [24]

1 basket is between 9 and 10 minutes .

<u>Step-by-step explanation:</u>

Here we have , John kept track of how many baskets were made in a basketball game. After 4 minutes, 5 baskets were made.  We need to find How many baskets were made between 9 and 10 minutes . Let's find out:

In order to calculate baskets between 9 min and 10 min we will find baskets at 10 min and at at 9 min , will subtract than !

Baskets at 10 min :

At 4 min we have 5 baskets so , in 10 min

⇒ (10)\frac{5}{4}

⇒ 1.25(10)

⇒ 12.5

Baskets at 9 min :

At 4 min we have 5 baskets so , in 9 min

⇒ (9)\frac{5}{4}

⇒ 1.25(9)

⇒ 11.25

So , Baskets between 10 & 9 min is 12.5-11.25=1.25 , which on rounding off gives 1 . Therefore , 1 basket is between 9 and 10 minutes .

3 0
3 years ago
Round each number to the nearest tenth.
andreev551 [17]

Answer:For the first one 26.73 would turn into 27 and 89.42 would stay 89


Step-by-step explanation: Any number that is 5 or greater can be used to round any number.


7 0
3 years ago
Please help me <br><br> Question: What are the solutions to this graph?
Salsk061 [2.6K]
There’s only one solution. Solution is the same as x or x intercepts so it would be one at (2,0)
8 0
3 years ago
Other questions:
  • Midpoint formula
    6·1 answer
  • A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other
    12·1 answer
  • Mei subscribed to a magazine at a rate of $24 for 12 issues. When she placed her order, Mei used a coupon that added 3 free bonu
    9·2 answers
  • How would you determine the inverse of f(x) = √x - 4 ? ​
    9·1 answer
  • Simplify.<br><br> –2 • [–10.5 ÷ (2 + 3)]
    5·2 answers
  • (b) For a giveaway, a local radio station is putting together goodie bags. The bags will include tickets and posters. Each bag w
    9·1 answer
  • Which line plot matches the set of data? <br> 61, 58, 57, 64, 59, 57, 64, 58, 56, 57.
    15·2 answers
  • ) In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based
    7·1 answer
  • Which number line can be used to find the distance between (4, –1) and (8, –1)?
    10·2 answers
  • 1 1/2 divided by 1/4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!