Answer:
f(x) = 4(x - 4)² - 4Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
so the equation of parabola with the vertex (4, -4) is
f(x) = a(x - 4)² - 4
passes through the point (2, 12) means if x=2 then f(x)=12
12 = a(2 - 4)² - 4
12 +4 = a(-2)² - 4 +4
16 = 4a
a = 4
Therefore the equation (in vertex form) of parabla is:
f(x) = 4(x - 4)² - 4
g(n) =-n + 2
How can I find the inverse of this equation?
Answer:
[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]
Step-by-step explanation:
Given the function
[tex]\:g\left(n\right)\:=-n\:+\:2[/tex]
As we know that a function g is the inverse of function if for [tex]y=f\left(x\right),\:\:x=g\left(y\right)\:[/tex]
[tex]y=-n+2[/tex]
Replace n with y
[tex]n=-y+2[/tex]
Solve for y,
[tex]n=-y+2[/tex]
[tex]y=2-n[/tex]
Therefore,
[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]
need the answer please
Answer:
Slope =-1/2
P1 (0,4)
P2(-2,5)
Step-by-step explanation:
Slope:
m=(y2-y1)/(x2-x1)
=(3-6)/(2+4)
=-3/6
m=-1/2 = -0.5
Now finding the equation of the line passing through the 2 points:
3 = -1/2 * 2 +q
3 = - 1 +q
q=4
eq. y= -(1/2)x + 4
Let's find 2 other points
x=0
y= - 1/2 *0 +4 =4
(0,4)
x= -2
y= - (1/2)*(-2) +4 = 1+4 = 5
(-2,5)
Once a month volunteers from the Green Sea Club clean up litter at the beach. Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.
Answer: 6
Step-by-step explanation: :)
Answer:
6
Step-by-step explanation:
What is the greatest common factor of 12, 36, 18????
Answer:
6
Step-by-step explanation:
A lasagna recipe calls for 3 and 3/4 cup of tomato sauce DeMarco already has 1 and 1/4 cups of tomato sauce he wants to know how many more cups of tomato sauce he needs. Let y be the number of cups of tomato sauce DeMarco still needs.
Answer: DeMarco still needs 2 1/2 cups of tomato sauce.
Step-by-step explanation:
Solve for 3 3/4 cups (needed) - 1 1/4 cups (have).
2 2/4 cups
Simplify:
2 2/4 -> 2 1/2 cups
Answer:
DeMarco needs 2 2\4 cups more tomato sauce
Step-by-step explanation:
1 1\4+y=3 3\4
subtract 1 1\4 from both sides
y=2 2/4
help please and thanks
c
I saw this test my cousin had it
The area of a rectangle with length l and width w is lw. Greg is getting a new hardwood floor in his rectangular dining room. The room is 14 feet long and 11 feet wide. What is the area of the dining room floor? Write your answer as a whole number or decimal.
Area = lw
Area = 14 x 11
Area = 154 square feet
Bosian was converting Gallons to Quarts. He said that he had 5 gallons. Bosian said that 1 gallon 5 quarts so 5 gallons is 5 What does Bosian do wrong? How do you correct it?
Answer:
Bosian used the wrong conversion for converting Gallons to Quarts. The correct conversion is: 1 gallon = 4 Quarts and correct solution is: 5 gallon = 20 quarts
Step-by-step explanation:
Bosian Conversion from Gallons to Quarts
He had 5 gallons
He said that 1 gallon = 5 quarts
So, 5 gallons = 5*5 = 25 quarts
Mistake of Bosian:
He used the wrong conversion: i.e, 1 gallon = 5 quarts
The correct conversion is:
1 gallon = 4 quarts
Correct Solution:
1 gallon = 4 quarts
So, 5 gallons = 5*4 = 20 quarts
A board 75 cm long is cut into two parts such that one part is 15 cm more than the other. How long is each part?
Answer:
30 cm, and another is 45 cm.
Step-by-step explanation:
First, we need to subtract 15 from 75, giving us 60. Then, we divide 60 by 2, giving us 30, which is the length of one part. We add 15 back to 30, which gives us 45. One part is 30 cm and the other is 45 cm
rearrange x - y + 1 = 0
Answer:
y=x+1
or x=y-1
Step-by-step explanation:
HELP!!! this is due today and i’m super dumb all help is much appreciated!
Answer:
No
Step-by-step explanation:
It is never a right triangle unless it says so, it normally has a little square box thing on the angle that is right
How many different ways can you place 4 identical marbles in three jars shown below? Note: Every marble needs to be in one of the jars, but not every jar needs to have a marble in it.
Answer:
3 ways
Step-by-step explanation:
How many different ways can you place 4 identical marbles in three jars shown below? Note: Every marble needs to be in one of the jars, but not every jar needs to have a marble in it.
We solve using combination
n-1 C r-1 = nCr = n!/r! (n - r)!
n = 4 identical marbles
r = 3 jars
Hence:
4 - 1 C 3 - 1 = 3C2
= 3!/2! (3 - 2)!
= 3 ways
I was earning $47,000 per year until she received a 7% raise at the start of 2019. What will her new salary be? Write a proportion and show how you solved.
Answer:
$50,290
Step-by-step explanation:
I was earning $47,000 per year until she received a 7% raise at the start of 2019.
Step 1
We find how much 7% raise is
Hence,
7 % of $47,000
= 7/100 × $47,000
= $3290
What will her new salary be?
Her new salary is calculated as:
Last year's salary + 7% raise
= $47,000 + $3290
= $50,290
Her new salary is $50,290
Subtract (3x +5y-4)-(4x+11)
Answer:
-x + 5y + 7
-This should be the answer
Write an
equation of a line that passes through each pair of points.
(-2,6) (0,0)
If lilian finds 1,000,000 balls on the beach and spends 95 hours finding the balls by herself if she has 3 friends helping her how long will they get done
Answer:
New time to find all balls = 23.75 hours
Step-by-step explanation:
Given:
Total time = 95 hour
Total people = 1 Lillian + 3 friends = 4
Find:
New time to find all balls
Computation:
New time to find all balls = 95 / 4
New time to find all balls = 23.75 hours
May someone please help this is due a 9:59pm. I have connected a pic.
Answer:Your poopoo
Step-by-step explanation:
HELP ASAP PLEASE
A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?
5.89°
6.38°
45.89°
46.38°
Answer:
The correct option is;
5.89°
Step-by-step explanation:
The speed with which the plane flies = 350 mph
The direction of flight of the plane = N 40° E
The speed with which the wind blows = 40 mph
The direction in which the wind blows = S 70° E
Therefore, we have;
The resolution of the components of the motion of the plane, given as follows;
[tex]S_{Plane}[/tex] = 350 × sin(40°)·i + 350 × cos(40°)·j
The resolution of the components of the motion of the wind, given as follows;
[tex]S_{Wind}[/tex] = 40 × sin(70°)·i - 40 × cos(70°)·j
The resultant motion of the plane is given as follows;
[tex]R_{Plane}[/tex] = 262.563·i + 254.435·j
The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E
Therefore, the plane's drift = Plane's Track - Plane's Heading = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°
Therefore, the correct option is 5.89°.
Answer:
5.89
Step-by-step explanation:
so u don't have to look at that long one lol.
Ralph bought some oranges. The weight of the oranges was 2.5 kilograms. How many grams is this? 25,000 g 0.025 g 0.0025 g 2,500 g
Answer:
2,500
Step-by-step explanation:
The weight of the oranges was 2.5 kilograms, the number of grams is, 2500g. So Option D is correct.
What are Units ?To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorised.
For example, for length measurement we use units like:- meter, centimeter, inch, miles.
Given that,
Ralph bought some oranges.
The weight of the oranges was 2.5 kilograms.
The number of grams = ?
It is known that,
1 kilogram = 1000 gram
so 2.5 kg will be equal to
⇒ 2.5 x 1000
⇒ 2500 g
Hence, the number of grams is 2500g
To know more about Units check:
https://brainly.com/question/30168372
#SPJ6
Find the solution to the following system using substitution or elimination:
y= - 4x + 9
y = 3x - 5
A. (1,5)
B. (2,1)
C. (14, 37)
D. (1,-2)
Answer:D(2,1)
Step-by-step explanation:
Answer:
D. (2,1)
Step-by-step explanation:
Yes It is correct I took the test and got a 100%
please help me !!! please
Answer:
x= c/14
Step-by-step explanation:
add 8 to both sides of the equation, then simplify, next divide both sides of the equation by the same term, and finally simplify again.
$12; 20% increase (sample answer: $1, make sure to put the dollar sign in
front of the number)
Answer: $14.40
Step-by-step explanation:
The question simply asks us to calculate the value of a 20% increase in $12. This will be:
= $12 + (20% × $12)
= $12 + (20/100 × $12)
= $12 + (0.2 × $12)
= $12 + $2.40
= $14.40
A 20% increase in $12 will give $14.40
What’s the answer to this? Only if you know it though!!
Answer:
ASA congruence (A)
Step-by-step explanation:
These triangles have a congruent side in between two congruent angles; this meets the criteria for ASA congruence.
HTH :)
$1.08 as a decimal and fraction
Answer:
as a fraction?
27/25
or
1 2/25
Step-by-step explanation:
richard mows 1/3 of his yard in 2/5 hour. at that same rate how much of his yard would Richard mow in 1 hour
Answer: he would mow 13/15 of his lawn in one hour
Step-by-step explanation:
Do 1/3 and 2/5 into, 5/15 and 6/15
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
7 in
9 in
5 in
what is the volume
Answer:
157.5
Step-by-step explanation:
4x+3y<12 what’s the answer?
Five people are at a party. Everyone shakes hands once with everyone else. How many handshakes are there? Show your
work.
Answer:
they exchanged 25 handshakes total
Step-by-step explanation:
5 x 5 = 25
May I have brainliest please? :)
i need help wiht math
Answer:
Is that all you need help with or you need help with more?
Step-by-step explanation: