Answer:
(2,-11) is the vertex
Answer:
(2, -11)Step-by-step explanation:
[tex]f(x)=3x^2-12x+1\\\\f(x)=3(x^2-4x)+1\\\\f(x)=3(x^2-2\cdot x\cdot2+2^2-2^2)+1\\\\f(x)=3(\underline{x^2-4x+4}-4)+1\\\\f(x)=3[(x-2)^2-4]+1\\\\f(x)=3(x-2)^2-12+1\\\\f(x)=3(x-2)^2-11[/tex]
the vertex form of parabola's equation is: f(x) = a(x - h)² + k with vertex (h,k)
x-h = x-2 ⇒ h = 2
+k = -11 ⇒ k = 11
Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a master's degreee. To achieve this goal, you deposit $ 5000 at the end of each year in an annuity that pays 6.5 % compounded annually.
a. After 5 years, you will have approximately= $
(Do not round until the final answer. Then round to the nearest dollar as needed.)
b. The interest is approximately= $
(Use the answer from part a to find this answer.)
Answer: a. After 5 years, you will have approximately= $ 6,850.43 .
b. The interest is approximately =$ 1850.43
Step-by-step explanation:
Given: Principal amount (P) = $5000
Rate of interest (r)= 6.5% = 0.065
n= 1 (compounded annually)
a) Time (t) = 5 years
Formula for accumulated amount :
[tex]A=P(1+\dfrac rn)^{nt}[/tex]
Then,
[tex]A=5000(1+0.065)^5\\\\=5000(1.065)^5\\\\=5000(1.37008666342)\\\\\approx \$\ 6850.43[/tex]
Hence, After 5 years, you will have approximately $ 6,850.43 .
b) Compound interest = A-P
= $ 6,850.43 - $ 5,000
= $ 1850.43
Hence, The interest is approximately $ 1850.43.
Complete the following statement.
Find the quotient. 7200/9 =
Answer:
800
Step-by-step explanation:
9 goes into 72 eight times, nine goes into 0 zero times
The complete statement is as follows:
The quotient of, 7200/9 = 800.
Quotient is the result which we get by dividing the one number by the other.
Where, the number which is getting divided is known as 'dividend' and the number which divides the dividend is known as 'divisor'.
So,
Quotient = Dividend ÷ Divisor.
Or,
[tex]\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}[/tex]
In 7200÷9, 7200 is dividend and 9 is divisor. We have to find the quotient.
Applying the division on 7200 by 9.
Since, 9 is very less than 72. Take the first 2 digits.
72÷9 = 8
There is no remainder.
Now, take three digits:
720÷9 = 80
Still no remainder is here.
Move to the last digit (0) and apply division.
7200÷9 = 800
No remainder is there.
That means the quotient of, 7200 divided by 9 is 800.
Hence, the quotient of 7200/9 = 800.
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POSSIBL
Mariko needs to solve the equation below for D. Which correctly describes the step he should take?
M=
= p
Subtract V from both sides.
Divide both sides by V.
Multiply both sides by V.
O Divide both sides by D.
1
2
which step should I take
Answer:
Divide both sides by V
Step-by-step explanation:
The equation is not well written.
Mariko needs to solve the equation below for D. Here is the equation:
M = DV
For Mariko to get D, he needs to make D the subject of the formula by dividing both sides of the equation by the coefficient of D i.e V as shown;
Divide both sides by V
M/V = DV/V
V at the denominator will cancel out the V at the numerator to have:
M/V = D
Rearrange
D = M/V
Therefore, the statement which correctly describes the step he should take is:
Divide both sides by V. Option B is correct.
what is the lenght of the diagonal of the rectangle
Answer:
P = 2l + 2w
Step-by-step explanation:
solve b
3b / 7-1 = 5
Answer:
b= 2 over 7
Step-by-step explanation:
exact form b= 2 over 7
decimal form b= 0.285714
Find the value of x.
Answer:
x=55
Step-by-step explanation:
you have to add the three angles to get 180 first. 180- 21-34=125.
then take the missing angle inside the triangle (125) and subtract by 180.
180-125=55
Answer:
x = 55
Step-by-step explanation:
We know that triangles add up to 180 degrees, so let's start with that. Keep in mind that "y" will be the third degree of the triangle.
21+34+y = 180
55+y = 180
y = 125
Okay, now we know that the third degree is 125. Also, the line that 125 and x are on is a straight line. All straight lines are 180 degrees. Subtract 180 and 125 to get your answer.
180-125 = 55
So your final answer will be x=55, hope this helped!
what is x
8(3x+6)=168
Answer:
x=-5
Step-by-step explanation:
24x+48=168
24x-120
x=5
8(15+6)=168
120+48=168
168=168
Answer: 5
Step-by-step explanation: 8 (3x+6)= 168/ 8 (3 x5+6)= 168; so 8(3x5+6)=168
Hello guys i am in secondary school y8 and need help on my school work due tomorrow please could you help me out.
hii!! i used an online calculator so i could help you quicker, but the area is 60, and the height is 12.
hope this helps!! <3
Explain if it has the same answer: 6(9) = 6(5) + 6(4)
Answer:
54 does equal 54. So this problem is true
Step-by-step explanation:
6*9=54
6*5=30
6*4=24
30+24=54
54 does equal 54
Answer:
it has the same answer because 6(5)+6(4)=6(9) so they are the same
Step-by-step explanation:
copy and paste that ;)
How does light travel so you can see in the dark
Answer:
Step-by-step explanation:
Light travels as a wave. But unlike sound waves or water waves, it does not need any matter or material to carry its energy along. This means that light can travel through a vacuum—a completely airless space. ... It speeds through the vacuum of space at 186,400 miles (300,000 km) per second.
A jeweler has 160.5 centimeters of gold chain. He will use half of the chain to make a necklace. He will make 5 bracelets with the remaining chain. If each bracelet is the same length, what will be the length of each bracelet in centimeters?
9514 1404 393
Answer:
16.05 cm
Step-by-step explanation:
Each bracelet will be 1/5 of 1/2 of the chain, so is
(1/5)(1/2) = 1/10
of the original length of the chain.
1/10 × 160.5 cm = 16.05 cm . . . length of each bracelet
please answers soon and answer correctly.
X - 6 < -4 please help
Answer:
x<2
Step-by-step explanation:
I’ll give brainliest I need help
Answer:
1, -1, -3, 3
Step-by-step explanation:
f(x) = 2x-1
f(1)=2*1-1 = 2-1 = 1
f(0) = 2*0 - 1 = -1
f(-1) = 2* -1 -1 = -2-1 = -3
f(2) = 2 * 2 -1 = 4-1 =3
15 - 5k ≥ 0
solve the inequality
The solution is, the value of the inequality is, 3 ≥ k.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
given that,
15 - 5k ≥ 0
now, we get,
Start by adding 15 to both sides
15 + 15 will cancel out
15 + 0 = 15
After you are left with just 5k and 15
Divided 5 on both sides of the inequality
5k/5 ( this will cancel out)
15/5 = 3
Bring down the k & inequality sign
3 - k ≥ 0
adding k on both side,
3 ≥ k
Final Answer : 3 ≥ k
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If you bought a stock last year for a price of $63, and it has risen 17% since then, how much is the stock worth now, to the nearest cent?
fat help me fast help
false because the mountain was created with the North not the South plate.
Help with math. please
Answer:
B. 1 9/10 (19/10)
Step-by-step explanation:
3 4/5 is equal to 19/5
We would need to divide 19/5 by 2
Make 2 a fraction. 2/1
Flip the number: 1/2
Multiply 19/5 by 1/2
19/10
Simplify.
1 9/10
Hope I helped :)
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The rectangle below has a perimeter of 120 inches. (2x is the length and X is width) What is the measure of the width, x, of the rectangle?
Answer:
x = 20
Step-by-step explanation:
2x + 2x + x + x = 120
6x = 120
x = 20
Prime numbers have ________.
Composite numbers have ________.
The number 1 is ________.
Answer:
1:eaxctly two factors 2:more than two factors 3:neither prime nor composite
Step-by-step explanation:
I GOT IT RIGHT!
Answer:
Answer time!!
1. exactly 2 factors
2. more than 2 factors
3. niether prime nor compisite
PLEASE HELP AHHHH IS URGENT.
help me find the slope!
Answer:
b
Step-by-step explanation:
i think
what is the slope of the line in the graph?
Answer:
1
Step-by-step explanation:
The slope of a line equals rise/run. That is the distance and height between each point. The horizontal and vertical distances are both 1, so 1/1= 1
Which atom or ion is the largest?
ОА. К
ОВ. к*
ОС. Са
гO D.
Са2+
O E. Li
Answer:
o.a k
Step-by-step explanation:
Please please help will give brainliest!!
Answer:
c = 13
Step-by-step explanation:
In a rectangle the diagonals bisect each other, thus
FG = FI , substitute values
7c - 67 = c + 11 ( subtract c from both sides )
6c - 67 = 11 ( add 67 to both sides )
6c = 78 ( divide both sides by 6 )
c = 13
Answer:
c = 13
Step-by-step explanation:
We know FG and FI are equal to each other because F is the cross section of a rectangle.
FG = 7c - 67
FI = c + 11
FG = FI
7c - 67 = c + 11 Add 67 to each side so it will cancel on the left
7c = c + 11 + 67
7c = c + 78 Subtract c from each side so it cancels on the right
7c - c = 78
6c = 78 Divide each side by 6
6c/6 = 78/6
c = 78/6
c = 13
Find three consecutive even integers such that the sum of twice the smallest and 4 times the largest is 304.
Answer:
gdgdgdgdgddggddggdgddggd
Step-by-step explanation:
What is the reciprocal of 6 1/5
Answer:
0.16129032258 or maybe just 0.161
Step-by-step explanation:
The tables show the statistics of a running back in a football game did he gain more than 50 yards total? Explain .
Answer:
He gained more than 50 yards in the game.
Step-by-step explanation:
Running back in the first quarter in a football game = -8.5 yards
Running back in second quarter = 23 yards
Running back in 3rd quarter = 42.5 yards
Running back in 4th quarter = -2.25 yards
Total gain in the game = -8.5 + 23 + 42.5 - 2.25 = 54.75 yards
That means he gained more than 50 yards in the game.
Help! I already tried -6.6/20
Answer: 0.33 or 1.32 or 6.6%
Step-by-step explanation:
I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.
a. Write an equation to represent this situation.
b. What is my number?
Answer:
your numnber is 15
Step-by-step explanation:
3x-3=n
nx=90
nx=90
(3x-3)x=90
3x^2-3x=90
x=6
3x-3=n
3(6)-3=n
18-3=n
15=n