Answer:
(2, 7)
Step-by-step explanation:
hope this helps :)
( 1 ) Find by using a formula of (-b/2a, (4ac-b²)/4a)
[tex](\frac{-b}{2a},\frac{4ac-b^2}{4a})\\(\frac{-12}{2(-3)}),(\frac{4(-3)(-5)-(12)^2}{4(-3)})\\(\frac{-12}{-6}),(\frac{60-144}{-12})\\(2,\frac{-84}{-12})\\(2,7)[/tex]
The vertex is at (2,7)
( 2 ) Find by using a derivative (Calculus)
You can also find a vertex by using a calculus. Using a derivative
[tex]y'=-3x^2+12x-5\\y'=-6x+12\\\\[/tex]
Then substitute y' = 0 to get a vertex.
[tex]y'=-6x+12\\0=-6x+12\\-12=-6x\\2=x[/tex]
Then substitute x = 2 in the equation of y = -3x²+12x-5
[tex]y=-3x^2+12x-5\\y=-3(2)^2+12(2)-5\\y=-3(4)+24-5\\y=-12+24-5\\y=-17+24\\y=7[/tex]
x = 2 and y = 7, therefore. The vertex is (2,7)
write an expression equivalent to 2a + (3/4a + 1/5b) by combining like terms
Answer: 2 3/4 a + 1/5 b
Step-by-step explanation:
Add the like terms
The solution of the given expression is equal to 7a/4 + b / 5.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 2a + (3/4a + 1/5b). The given expression will be solved as below,
E = 2a + (3/4a + 1/5b)
E = 2a + (3/4)a + (1/5)b
E = 7a/4 + b / 5
Therefore, the solution of the given expression is equal to 7a/4 + b / 5.
To know more about expression follow
https://brainly.com/question/723406
#SPJ5
Please help ill mark brainliest
Please help ASAP with one or the rest pleasee I’ll l mark you as brainlister
Answer:
SEE BELOW
Step-by-step explanation:
By mid point theorem:
1)
[tex] MO = 2\times CD\\\\
MO = 2\times 4\\\\
\huge\red {\boxed {MO = 8\: cm}} \\\\[/tex]
2)
[tex] NO = 2\times CE\\\\
NO = 2\times 8\\\\
\huge\purple {\boxed {NO = 16\: cm}} \\\\[/tex]
3)
[tex] MN= 2\times DE\\\\
MN = 2\times 7\\\\
\huge\purple {\boxed {MN = 14\: cm}} \\\\[/tex]
4)
[tex] 2(3x +1) = 20\\\\
3x + 1= \frac {20}{2}\\\\
3x + 1 = 10\\\\
3x = 10-1\\\\
3x = 9\\\\
x = \frac{9}{3} \\\\
x = 3\: units[/tex]
The speed of a train increases from 650 km/hr to 800 km/hr in 5 hours. What is its acceleration?
Answer:
\overline{a} = \frac{v - v_0}{t} = \frac{\Delta v}{\Delta t}
Step-by-step explanation
i do not really understand but use this formula
= average acceleration
v = final velocity
v_0 = starting velocity
t = elapsed time
Pls help will give brainliest and be very detailed. What is 11+9
Answer:
20
Step-by-step explanation:
11+9=20 :)
Answer:
ok so 9+11 is 20. you start with 11 and add 9 to it using your fingers if needed:
11,12,13,14,15,16,17,18,19,20
Step-by-step explanation:
use the graph below to determine how many cakes mary sells after 4 hours
Answer:
8
Step-by-step explanation:
follow the graph
Answer:
D. 8
Step-by-step explanation:
Look for 4 the x axis and go up until you see the dot. Whatever is on the y-axis is your answer(8)
Quadratic – vertical compression by a factor of 1/3, vertical shift up 5 units
Answer:
Step-by-step explanation:
I used a site it won't let me mention... for this graph
This is if "vertical compression by a factor of 1/3, vertical shift up 5 units" translates to...
[tex]f(x)=\frac{1}{3} (x^2+5)[/tex]
The equation that has vertical compression by a factor of 1/3, vertical shift up 5 units will be y = (1/3)x² + 5.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertical compression by a factor of 1/3, vertical shift up 5 units.
a = 3
(h, k) = (0, 5)
Then the equation will be
y = 1/3(x – 0)² + 5
y = (1/3)x² + 5
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ2
Please help :)Please help :)Please help :)
Answer:
the first one is correct
Step-by-step explanation:
Joanne hit a ball straight up into the air. The height of the ball in meters, is given by the function h(t)= -5(t-3)^2+45 t seconds after the ball is hit. What is the maximum height the ball will reach
9514 1404 393
Answer:
45 meters
Step-by-step explanation:
The equation is given in vertex form:
h(t) = a(t -b)^2 +c
where (b, c) is the vertex (maximum).
The values of the parameters are ...
a = -5, b = 3, c = 45
Then the maximum height is (time, height) = (3, 45).
The maximum height of the ball is 45 meters.
Macy's charges $12 for an item plus a $10 shipping and handling charge for the order. What is the cost of an order of of 5 of those items?
Answer pls idk get it pls
Answer:
$72 is your answer
Step-by-step explanation:
hope this helps ♡
Can someone help me with this last one please
camila has a younger brother and an older brother. one is three years younger than her and the other is 5 years older than her
Answer:
59 years and younger
Step-by-step explanation:
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 m to 20 m
HELP ME ILL MARK YOU !!
Answer:
3/5
Step-by-step explanation:
Annie is participating in a winner-take-all World Series of Poker tournament that costs 101010 thousand dollars to enter. The prize for winning the tournament is 500500500 thousand dollars. Annie estimates that there is a 0.5 \%0.5%0, point, 5, percent chance that she will win the tournament. Find the expected value of entering the tournament for Annie.
Answer: −7.5 thousand dollars
Step-by-step explanation: Khan Academy
Using the expected value formulae, the expected value of Annie entering the tournament is -$7950
Creating a probability distribution table :
Net amount won = (500 - 100) = 400 thousand
Amount lost = 100 thousand
X ___ : - 10,000 ____ 400,000
P(X) _ : __ 0.995 _______ 0.005
Using the expected value formulae:
E(X) = Σ[X × P(X)]E(X) = (0.995 × - 10,000) + (0.005 × 400,000)
E(X) = - 9950 + 2000
E(X) = -7950
Hence, the expected value of entering the tournament is -$7950
Learn more : https://brainly.com/question/19236072
How do you prove 2 lines are congruent
Answer:If they have the same length or if their parallel but that’s not always the case.
Step-by-step explanation:
Answer:
If the two lines have the same length and width.
Step-by-step explanation:
Correct me if I am wrong but I am pretty confident that it is the answer by going from logic.
8x + 7y = 2
8x + 3y = 10
Answer:
what do you want from this question?
Step-by-step explanation:
what is 99,765 divided by 5?
Answer:
It is 19,953. Your welcome
Answer:
99,765/5= 19953 :)
Step-by-step explanation:
Write down the next two numbers in the sequence.
81, 64, 47, 30, ___, ___
Answer:
81, 64, 47, 30, 13, -4
Answer:
The next two numbers are 13 and -4.
Step-by-step explanation:
We are subtracting 17 each time.
30 - 17 = 13
13 - 17 = -4
What is the value of x?
Answer:
x = 18
These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.
Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180
10x + 0 = 180
10x = 180
x = 180/10
x = 18
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=|2x−1|+3.
Answer:
1) y = -f(x) (This is the reflection about the x-axis of the graph y = f(x).) That is for every point (x, y) there is a point (x, -y). Look at the example graphs below of y = x2 and y = -x2. Notice the green graph is simply the same as the blue graph folded down
The function above models the height, y, in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second
Answer:
3.94 seconds
Step-by-step explanation:
h = - 16t² + 248
If stone is dropped, then h = 0
- 16t² + 248 = 0
t² = [tex]\frac{248}{16}[/tex]
t = ± [tex]\frac{2\sqrt{62} }{4}[/tex]
t < 0 is a solution of equation, but not a solution of the task
t = [tex]\frac{2\sqrt{62} }{4}[/tex] ≈ 3.94 seconds
Answer:
≈ 3.74 seconds
Step-by-step explanation:
Oops! The numbers I had to work with were "The function y = –16t2 + 224..."
Find the value of f(-3).
Step-by-step explanation:
the value is -5 hope that is good
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream store for $8 per hour. Leah cannot work for more than 20 hours total per month for both jobs. Let x represent the number of hours Leah babysits and y represent the number of hours Leah works at the ice cream store. Which of the following graphs and system of inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours?
Answer:
its D
Step-by-step explanation:
5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Let x=babysitting hours paid at $5
y=ice cream shop hours paid at $8.
Total earned >120
total hours<20
So here is what our equations will look like:
5x+8y>120
x+y<20
Convert the first equation into y>mx+b format
8y>-5x+120
y>-5/8x+15
Convert the second equation into y>mx+b
x+y<20
y<-x+20
We can also solve this mathmatically by finding the point where our equations are equal:
-5/8x+15=-x+20
Add x to both sides to get:
3/8x+15=20
subtract 15 from both sides:
3/8x=5
divide both sides by 3/8:
x=13.33
The question asks us to round to the nearest whole hour, so the minimum she can babysit is 14 hours to still make $120 a week.
Hence, 5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
To convert 1880 kL to L, move the decimal point _____ places to the _____.
Answer:
4567
Step-by-step explanation:
sdjfgkh
Answer:
1880000
Step-by-step explanation:
1880 * 1000 = 1880000
Need help will mark brainliest
Answer:
64
Step-by-step explanation:
180-52/2=128/2=64
Solve for s.
S + 3s - 4 = 16
S =
Submit
-6 < -2h + 14 solve for h
Answer:
10 is more than h
Step-by-step explanation:
sub 14 add to 6 divid by two switch signs and poof
Answer:
10>h
Step-by-step explanation:
-6< -2h+14
-6-14<-2h
-20<-2h
-2 <-2 when you divide by a negative number you must reverse the
10>h inequality sign
Can anyone help me please?
1. 40,60,80
2.48,35,23.7
Solve for the value of s.
58
(s-4)
Answer:
Step-by-step explanation:
58(s-4)=0
58s-232=0
58s=232
S =232/58
S=4
Value of a is 4.
How much money is collected in tolls if 55 two axle cars cross the bridge? Type your answer in a
complete sentence.
Y•55=x
Step-by-step explanation: