f(x) = x^2 + 4x-12
(a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?
Answer:
a) x-intercepts at -6 and 2
b) y-intercept at -12
c) minimum at (-2, -16)
Step-by-step explanation:
verify x+(y+z) =(x+y) +z, when x=-4/15, y=-4/5and z =17/8
Answer:
The equality is true
Step-by-step explanation:
x+(y+z)=(x+y)+z
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for y
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/8
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24so this equality is true
In the diagram, point K is a point of tangency, MK = 720, and MN = 648. What is the radius of J
A. 76
B. 70
C. 72
D. 64
The radius of J is 76. so option A is correct.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
By applying Pythagoras theorem In right triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(720 + J)² = (648)² + J²
518400+ J² + 1440J = 419904 + J²
1440J = 518400- 419904
J = 76
Therefore, J = 76 units is the answer.
Learn more about Pythagoras theorem;
https://brainly.com/question/343682
#SPJ2
-PLEASE SOLVE-
I think the answer is 4 but I’m not sure!! PLEASE HELPP!
Answer:
4) -3
Step-by-step explanation:
The minimum y value of this absolute value function is -3
 PLSSS HELP IMMEDIATELY!!!!! i’ll give brainiest, i’m not giving brainiest if u leave a link tho. (pls check whole picture!!) answer choices: (4,6) (0,1) (0,0) (5,4)
Answer:
(0, 1)
Step-by-step explanation:
All other choices do not match the two possible vertices of the square.
Juan earns a flat fee of $150 plus $20 for every hour he works decorating 5 points
a house. Which graph correctly displays Juan's earnings?
Answer: The 3rd one is the correct answer
Step-by-step explanation:
Can someone help me with this. Will Mark brainliest.
Answer:
3.3
Step-by-step explanation:
What is the value of y when
IN
The value of y varies directly with x. When y = 75, x =
x is 2
A 84
B 337
С
- 162
D 168
4
В.
Answer:
I think that the answer is B , 337/5 i mean .
Good luck ^^
The diameter of a circle has endpoints at (0,11) and (-6,-1). Write the equation of the circle in standard form.
Answer:
(x - 3)^2 + (y - 6)^2 = 17
Step-by-step explanation:
The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.
(x - 3)^2 + (y - 6)^2 = 17
3 Jazmin is mailing two packages. One package weighs 3 pounds, and the other package weighs 20 ounces. What is the total weight of both packages? (1 pound = 16 ounces)
Answer:
68oz
Step-by-step explanation:
1) 3lbs x 16oz = 48
Now we know 3lbs is 48oz. since one pound is 16 ounces, 3 pounds is 48 ounces.
2) 48 + 20 = 68oz
3) The total weight of both packages is 68 ounces.
Jesus loves ya, have a great day!
---------------------
John 8:12 - When Jesus spoke again to the people, he said, "I am the light of the world. Whoever follows me will never walk in darkness, but will have the light of life."
Approximately what percentage of hardcover books sold were nonfiction?
Answer:
B
Step-by-step explanation:
A cylindrical soup can has a radius of 1.9 in. and is 5.9 in. tall. Find the volume of the can.
Answer:
66.93 in^3
Step-by-step explanation:
Volume = πr^2h
=> V = 22/7*(1.9)^2*5.9 = 66.93 in^3
How could you calculate the value of log11(9100) using a calculator? What does it equal (round to the nearest tenths place)?
What is your dream career and why ?
Answer:
Step-by-step explanation:
Professional dancers cause I’ve danced since I was 3 and I’ve always wanted to do it. And I wanna model on the side
Answer:
Detective/Forensics scientist
Step-by-step explanation:
I want to be a detective/ forensic scientist because I am interested in science and investigating.
Need help with this question
Answer:
Function A rate = 5/1
Function B rate = -4.5
Function A because its rate is positive while Function B's rate is negative
How am I supposed to do this?
What is the value of C?
Answer:
2
Step-by-step explanation:
Callum is walking 270 miles to raise money for cancer research. He plans to walk 1/9 of the distance each day. After 7 days, how much farther does he have to walk to reach his goal?
Okay, so I need the one step equation for this question: Lee drove 420 miles and used 15 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline. I really need the one step equation version, as I know the number is 28. Please help me!
sound travels at 320.29 meters per second at sea level. how many miles will sound travel at sea level in 7 seconds?
round off the answer to the nearest thousandths
thx in advance
Answer:
1.393 milesExplanation:
320.29 × 7 = 2,242.03 m = 1.39313285413187 miles ≈ 1.393
Seats in a theater are curved from the front row to the back. The front row has 10 chairs, the second has 16 and the third has 22, and so on.
A. Write a recursive rule for this series
B. Write an explicit rule for this series
C. Using the explicit formula, find the number of chairs in row 5
D. The auditorium can hold 17 rows of chairs. Write a sigma notation for this series, and then use either series formula to calculate how many chairs can fit in the auditorium
Answer:
The first term is 10.
The second term is 16
The third term is 22.
We can see that the first term plus 6, is:
10 + 6 = 16
Then the first term plus 6 is equal to the second term.
And the second term plus 6 is:
16 + 6 = 22
Then the second term plus 6 is equal to the third term.
A) As we already found, the recursive rule is:
Aₙ = Aₙ₋₁ + 6
B) The explicit rule is:
Aₙ = A₁ + (n - 1)*6
Such that A1 is the first term, in this case A₁ = 10
Then:
Aₙ = 10 + (n - 1)*6
C)
Now we want to find A₅, then:
A₅ = 10 + (5 - 1)*6 = 34
There are 34 chairs in row 5.
D)
Here we have 17 rows, then we can have 17 terms, this means that the total number of chairs will be:
C = A₀ + A₁ + ... + A₁₆
This summation can be written as:
∑ 10 + (n - 1)*6 such that n goes from 0 to 16.
The formula for the sum of the first N terms of a sum like this is:
S(N) = (N)*(A₁ + Aₙ)/2
Then the sum of the 17 rows gives:
S(17) = 17*(10 + (10 + (17 - 1)*6)/2 = 986 chairs.
There are total 986 chairs in the considered auditorium and there are 34 chairs in the fifth row.
The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex]The explicit rule for this series is: [tex]T_n = 6n + 4[/tex]What is recursive rule?A rule defined such that its definition includes itself.
Example: [tex]F(x) = F(x-1) + c[/tex] is one such recursive rule.
For this case, we're provided that:
Seats in rows are 10 in front, 16 in second, 22 in third, and so on.
10 , 16 , 22 , .....
16 - 10 = 6
22 - 16 = 6
...
So consecutive difference is 6
If we take [tex]T_i[/tex] as ith term of the series then:
[tex]T_2 - T_1 = 6\\T_3 - T_2 = 6\\T_4 - T_3 = 6 \\T_5 - T_4 = 6\\\cdots\\T_{n} - T_{n-1} = 6[/tex]
Thus, the recursive rule for the given series is [tex]T_{n} - T_{n-1} = 6[/tex] or [tex]T_n = T_{n-1} + 6[/tex]
From this recursive rule, we can deduce the explicit formula as:
[tex]T_n = T_{n-1} + 6\\T_n = T_{n-2} + 6 + 6\\\cdots\\T_n = T_{n-k} + k \times 6\\T_n = T_1 + 6(n-1)\\T_n = 10 + 6(n-1) \: \rm (as \: T_1 = 10)\\[/tex]
Thus, the explicit rule for this series is [tex]T_n = 10 + 6(n-1)[/tex]
For 5th row, putting n = 5 gives us:
[tex]T_n = 10 + 6(n-1) = 6n + 4\\T_5 = 6(5) + 4 = 34[/tex]
If the auditorium has 17 rows, then total chairs are:
[tex]T = T_1 + T_2 + \cdots + T_{17} = \sum_{n=1}^{17} T_n\\\\T = \sum_{n=1}^{17} (10 + 6(n-1))\\\\T = \sum_{n=1}^{17} (6n + 4)\\\\T = 6\sum_{n=1}^{17} n + \sum_{n=1}^{17}4 = 6\sum_{n=1}^{17} n + 4 \times 17\\\\T = 6\left( \dfrac{17(18)}{2}\right) + 68 = 918 + 68\\\\T = 986[/tex]
(it is because [tex]\sum_{k=1}^n k = 1 + 2 + \cdots + n = \dfrac{n(n+1)}{2}[/tex] )
Thus, there are total 986 chairs in the considered auditorium. There are 34 chairs in the fifth row. The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex] The explicit rule for this series is: [tex]T_n = 6n + 4[/tex].
Learn more about recursive rule and explicit rule here:
https://brainly.com/question/12620593
Damien LOVES fruit. He has 22 oranges. If Damien, only eats .2 of a cupcake each day, how many days will it take him to eat all 22 cupcakes?
Answer:
c
Step-by-step explanation:
(4) |-5 + (-2)| _____ |5 + 2|
<
>
=
Hi
The answer would be =
Why?
The `| |` symbols mean actual value, which makes every number inside of it positive. That would mean, following the rules of actual value, the equation would look like:
5 + 2 _____ 5 + 2
Both add up to 10, so both equations are equal.
Answer:
>
Step-by-step explanation:
(4)| -5 + (-2)| ____ |5 + 2|
(4)| -7| ____ |7|
(4)(7) ____ 7
28 > 7
You are saving money to buy a car. You put $2500 in a savings account that pays 4% annual interest compounded monthly (hint n = 12). A. Write a function that models the amount of the money in the account over time. B. Find the cost of the car after 10 years.
Answer:
FV= $3,726.93
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $2,500
Interest rate (i)= 0.04/12= 0.003333 monthly
Number of periods (n)= x months
To calculate the future value giving any number of months, we need to use the following formula:
FV= PV*(1 + i)^n
For 10 years:
n=10*12= 120 months
FV= 2,500*(1.003333^120)
FV= $3,726.93
Is (6, –2) a solution to this system of equations? y = –1/6 x − 1 y = 1/6 x − 3
Answer:
Yes, (6, -2) is a solution to the given system of equations.
Step-by-step explanation:
Please write y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:
y = (–1/6)x − 1
y = (1/6)x − 3
Let's actually solve this system:
y = (–1/6)x − 1
y = (1/6)x − 3
-----------------------
2y = -4, or y = -2
Now find x. Arbitrarily we choose to use the first equation for this purpose:
y = (-1/6)x - 1. We set y = -2 and find x: -2 = (-1/6)x - 1
Combining the constants, we get -1 = (-1/6)x, or 6 = x
Yes, (6, -2) is a solution to the given system of equations.
Simplify the following expressions to have fewer terms (MIDDLE SCHOOL)
5x-3+(4x-6)+2
4y+3-(8x-2)
Answer:
Install math calculator
Thank you
Answer:
x=1\9
Step-by-step explanation:
first part:
5x-3+4x+2
5x+4x-3+2
9x-1
9x=1
x=1\9 answer.
Factor the expression over the complex numbers. x2+20 Enter your answer in the box.
Answer:
2(x plus 20)
Step-by-step explanation:
this is the highest common factor
Help pleaseeeeeeeeeee
Answer:
d
Step-by-step explanation:
Use a unit circle and 30°-60°-90° triangles to find the degree measures of the angle.
angles whose sine is
[tex] \frac{ \sqrt{3} }{2} [/tex]
Options:
30° + n × 360° and 330° + n × 360°
60° + n × 360° and 120° + n × 360°
240° + n × 360° and 300° + n × 360°
150° + n × 360° and 210° + n × 360°
Answer:
its B
Step-by-step explanation: Cause I have big brain. >:)
help with this please lol
Answer:
x = 107
Step-by-step explanation:
44+29+107=180
a triangle equals 180 with all the degrees added together :)