Answer:
the line crosses the parabola at (-2,4) and (3,9)
Step-by-step explanation:
y=x^2
y=x+6
set them equal to each other
x^2=x+6, now set it equal to zero
x^2-x-6=0, now find the root
(x+2)(x-3)=0, the x=-2, and x=3; now substitute into any of the equation to find the points where graphs intercept
at x= -2, y=(-2)^2=4, so one point is (-2,4)
at x=3, y=(3)^2=9, so other point is (3,9)
the line crosses the parabola at (-2,4) and (3,9)
Write a quadratic equation with the given transformations from the parent function y = x2
4) Reflect over x-axis, shift to the left 5 units, shift up 7 units
5) Vertical stretch by a factor of 4, shift down 11 units
6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.
Answer:
4
Step-by-step explanation:
By Using the Transformations of the parabola
[tex]y = -(x+5)^2+7\\y=4x^{2} +7\\y = -(x-2)^2+3[/tex]
Vertical Translation move the graph vertically - up or down[tex]y = x^2+ k[/tex]
Horizontal Translation move the graph horizontally - left or right[tex]y = (x - h)^2[/tex]
Reflection in x-axis
flip the graph over the x-axis, (negates the y-values of the coordinates)[tex]y = -(x^2)[/tex]
Reflection in y-axis
flip the graph over the y-axis,(negates the x-values of the coordinates)[tex]y = (-x)^2[/tex]
Stretch or Compress Verticallystretches away from the x-axis or compresses toward the x-axis
[tex]y = a .x^2[/tex]
| a | > 1 is a stretch;
0 < | a | <1 is a compression
Stretch or Compress Horizontallystretches away from the y-axis or compresses toward the y-axis
[tex]y=\frac{1}{a} x^{2}[/tex]
| a | > 1 is a compression by factor of 1/a;
0 < | a | <1 is a stretch by factor of 1/a
Now, we have [tex]y=x^2[/tex]
4). Reflect over x-axis, shift to the left 5 units, shift up 7 units
[tex]y = -(x+5)^2+7[/tex]
5) Vertical stretch by a factor of 4, shift down 11 units
[tex]y=4 x^{2} +7[/tex]
6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.
[tex]y=-(x-2)^{2} +3[/tex]
Learn more:https://brainly.com/question/20369546
As an estimation we are told £3 is €4.
Convert £7.50 to euros.
Answer:
€5000
Step-by-step explanation:
Use the information to answer the following question.
A car travels at a rate of 45 miles per hour for 5 hours. Let y be the distance, in miles, the car travels for a given amount of time, x, in hours. This situation can be modeled by a function.
What is the domain of the function?
A.
0 ≤ y ≤ 45
B.
0 ≤ x ≤ 5
C.
0 ≤ y ≤ 5
D.
0 ≤ x ≤ 45
9514 1404 393
Answer:
B. 0 ≤ x ≤ 5
Step-by-step explanation:
The domain refers to the useful values of x. Since we're only concerned with time in the interval of 0 to 5 hours, the suitable domain is ...
0 ≤ x ≤ 5
Can someone help me with this.
Answer:
1. y = -4
2. y = -0.73 (rounded; it's a repeating decimal and the 3 goes on. -0.7333333, and so on)
3. y = 24
4. c = -13.5
Step-by-step explanation:
30+7y=-2y-6
You want to get the y all by itself. So in order to do that you must combine the like terms from both sides. (so you'll combine the values with a variable, in this case y, and then you will combine the numbers without a variable.)
So, first, get the y's on the same side.
30+7y = -2y-6
Because 2 is negative "-2y", in order to cancel it out you have to ADD 2y to both sides.
30+(7y+2y)= -6
30+9y=-6
Remember, your goal is to get y by itself. So in order to do that, you have to get rid of the solo number on the same side, which is 30. Therefore, you must subtract 30 from BOTH SIDES.
9y= (-6 - 30)
Remember, when you're subtracting with negatives. The rule is: KEEP IT, SWITCH IT, SWITCH IT.
Keep the -6.
Switch the - to a +
And switch the positive thirty to a negative 30.
9y= -6 + (-30)
9y = -36
You want the y alone, so you have to cancel out the multiplication by its recipriocal (or opposite). The opposite of multiplication is division. So you must divide both sides by 9.
y= -36 ÷ 9
y= -4
__________________________
4(3y+4.1)=7.6
Use the distributive property and multiply the 4 (which is outside of the partenthesis) by what's inside of the parenthesis (3y+4.1).
4(3y+4.1):
4 x 3y = 12y
4 x 4.1 = 16.4
12y+16.4 = 7.6
Subtract 16.4 from both sides
12y = -8.8
Divide both sides by 12 to get the y by itself
y= -0.73 (repeating)
__________________________
3(y+1) = 4y-21
This is similar to the last problem. You must use the distributive property and multiply what's outside of the parenthesis by what's inside of the parenthesis.
3 x y = 3y
3 x 1 = 3
Rewrite the equation
3y+3 = 4y-21
Now this problem is similar to the very first problem
You need y by itself. So subtract 3y from both sides
3=(4y-3y)-21
3= 1y-21
Add 21 to both sides to get y by itself
24=1y
y=24
__________________________
3(2c+5) = 4(c-3)
This is just like the last two problems, you must use the distributive property.
3 x 2c = 6c
3 x 5 = 15
Rewrite equation.
6c+15 = 4(c-3)
Now you have to use the distrubtive property for 4(c-3)
4 x c = 4c
4 x (-3) = -12
Rewrite
6c + 15 = 4c - 12
Subtract both sides by 4c
(6c-4c) + 15 = -12
2c + 15 = -12
Subtract by 15 from both sides.
2c = -27
Divide both sides by 2, in order to get c by itself
c = -27 ÷ 2
c = -13.5
Please just put what the position that it would have the most amount of potential energy and why Thanks!
Which one should I choose
Answer:
D. -11/3b > 2/3
Step-by-step explanation:
We automatically can rule out B and C because it says is more than 2/3. The greater-than sign is >. B uses the less-than sign <, and C uses the greater-than or equal to sign ≥.
This leaves us with A. and D. The equation states One-third of a number b multiplied by -11. A. only has -11/b, but D. has -11/3 b. Because of this we can rule out A. so the answer is D.
I hope that this helps! :)
A 2-column table with 4 rows. Column 1 is labeled Number of Bouquets with entries 3, 6, 9, 12. Column 2 is labeled Price (dollars) with entries 9, 18, 27, 36.
The table shows the price for buying bouquets of flowers at a farmer’s market.
What is the unit rate?
Answer:
The unit rate is $3
Step-by-step explanation:
The given table can be written as follows:
No. of Bouquets 3 6 9 12
Price 9 18 27 36
In order to find the unit price, the price will be divided by the units.
So,
[tex]Unit\ price = \frac{Total\ price}{Number\ of\ bouquets}[/tex]
Taking a single pair from the table (Any pair of number of bouquets and price of those number of bouquets can be taken for this purpose)
[tex]Unit\ price = \frac{9}{3}[/tex]
= 3
Hence,
The unit rate is $3
Answer:
$3 per bouquet
Step-by-step explanation:
I need some help does anyone know this?
A circuit has a voltage of 500 volts and a resistance of 250 ohms. What is current? V = IR
Answer:
Step-by-step explanation: V= Voltage
I= Current
R= Resistance
Ohm's Law Mathematically expressed as: I= V/R or V= IR or R= V/I
V= 500
I= ?
R= 250
I= V/R
I= 500/250
I= 2 amps
Answer:
I know it know!!!!
Step-by-step explanation:
The highest elevation in a small country occurs on a mountain 1232 meters above sea level, while the lowest elevation in the same country occurs at -27 meters (below sea level). What is the difference in elevation between the highest and lowest points?
Answer: 1259 meters
Step-by-step explanation:
Highest elevation = 1232 meters
Lowest elevation = -27 meters
The difference in elevation between the highest and lowest points will be:
= 1232 - (-27)
= 1232 + 27
= 1259 meters
Note that (-) × (-) = +
prove that 1 + cos 2A / sin 2A=CotA
Answer:
I assume that there are parentheses missing from the question and that it should be
Prove that 1 + sin 2A + cos 2A ---------------------------------------------- = cot A
1+sin2A−cos 2A
Use sin 2 A= 2 sin A cos A and
cos 2 A = 1−2 sin 2 A and cos 2 A = 2 cos A−1
in the diagram below, B is the midpoint of AC and D is the midpoint of BC, which of the following statements is true?
(1) AC = 1/2BC (3) BD = 1/2AD
(2) AC=4DC (4) AC = 3BD
Answer:
2
Step-by-step explanation:
What is the sum (2/5x+5/8) (1/5x-1/4)?
A. 3/5x+2/8
B. 3/5x+3/8
C. 3/5x+5/8
D. 3/5x+7/8
WOULD REALLY LIKE THE ANSWER FAST,my last 5 questions no one answered ;(
Answer:
glad the brainly people cold cach u up on work hope u come back
Answer:
i suck at math lol
Step-by-step explanation:
write the equation of a line that is perpendicular to the line y=-3/7-15 and that passes through the point (9,2)
Answer:
Step-by-step explanation:
First substitue the coordinates to the equation so
x=9, y=2
you would get
2=-3/7(9) + b
we put b because we are trying to find the new slope
multiply the two numbers above
2=-3/6/7 + b
subtract the whole number from both sides
b= 5/6/7
in equation would be
y= -3/7 + 5/6/7
Let me know if there is an error.
Samir's curtain company is making curtains for a local hotel. He wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Samir's curtain company wants to make 72 curtains, how many feet of fabric will he need?
Answer:
Which two elements of drama divide the play and indicate shifts in location or scenery?
dialogue
act
character
monologue
scene
Step-by-step explanation:
What’s the answer for this?? Help (foolish answers will be reported)
Answer:
the answer is b
Step-by-step explanation:
they should have the same slope so just looking at that you cancel out d. But since it says has a y-intercept of 1 then it would cancel out the other 2. d is perpendicular to it not parallel
Answer:
b. [tex]y=5x+1[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b[/tex]
m is the slopeb is the y-interceptx and y are the corresponding coordinate points (x,y)When two lines are parallel, their slopes are the same. Note the slope of the given equation:
[tex]y=5x+7\\\\m=5[/tex]
The slope is 5, so the slope for the parallel equation will also be 5:
[tex]y=5x+b[/tex]
Now insert the given y-intercept:
[tex]b=1\\\\y=5x+1[/tex]
:Done
EASY QUESTION!!Example 3:
A soccer ball will not move until a player kicks it.
Group of answer choices
Newton's 1st Law
Newton's 2nd Law
Newton's 3rd Law
Give evidence or explain your reasoning for your answer to example #3:
Answer:
this is Newton's first law
Step-by-step explanation:
the soccer ball when kicked keep going forward until friction a person or another object like a wall stops it when the soccer ball is resting non-moving on the ground or stay like that until someone kicks it or another Force acts upon it
What is the reciprocal of 3^-2 ?
Answer:
1/3^2
Im trying to earn my brainliest..so if you don't mind :)
Simone paid $12 for an initial year's subscription to a magazine. The renewal rate is $7 per year. This situation can be represented by the equation y = 7x + 12, where x represents the number of years the subscription is renewed and y represents the total cost, in dollars.
Answer:
Step-by-step explanation:
Step one:
Simone paid $12 initial subscription
The rate renewable = $7 per year
let the number of years be x
and the total amount be y
the linear function/expression for the total amount is represented using the equation of line
i.e y=mx+c
where
m= gradient = $7
x= independent variable
c= constant, $12
this is also given as
y=7x+12
Step two:
let's assume the plan is for 3 years, that is x=3
then
y=7(3)+12
y=21+12
y=33
$33
For any number of years, just put x=the number of years and solve
What's 0.13 quite a bit
Factor 7y2 + 53y + 28.
Question 7 options:
A)
(y + 5)(7y + 2)
B)
(7y + 4)(y + 7)
C)
(7y – 2)(y – 14)
D)
(y – 12)(7y – 1)
27x9^3x can be written in the form 3^k where K is an expression in terms of x. Find k
Answer:
k = 3 + 6x
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Given
27 × [tex]9^{3x}[/tex]
= 3³ × [tex](3^{2}) ^{3x}[/tex]
= 3³ × [tex]3^{6x}[/tex]
= [tex]3^{3+6x}[/tex]
= [tex]3^{k}[/tex] → with k = 3 + 6x
The sum of three consecutive integers is - 75.
What is the value of the smallest of the three integers?
O A. -23
O B. – 24
O c. -25
OD. -26
O E. -27
A tank contains 80 gallons of water and is getting filled at rate of 3 gallons per minute. How many gallons of water will be in the tank after 4 minutes. Explain your answer
Answer:
Step-by-step explanation: 92 gallons bc if u calc the rate on 3 gallons per minute, times 4 which gives 12, add that to the 80 gallons alr filled then boom. 92.
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer:
x= 48 and y= 42
Step-by-step explanation:
x= 90-42
x= 48
y= 90-48
y= 42
HELP ME WITH THIS I'LL GIVE THE BRAINLIEST.
For items 6 to 9, use illustration on long division that follows:
6. Which is the dividend?
A. 5x + 5
B. 5x -5
C. 25x2 - 50x +25
D.O
7. What is the remainder?
A. 5x + 5
B.X + 5
C. -5
D.O
8. Which is the quotient?
A. 5x + 5
B. 5x -5
C. 5x² + 14x-24
D.O
9. What is the process used to obtain the 2nd line?
A. Multiplying 5x by (5x-5)
C. Dividing 5x by (5x -5)
B. Adding 5x by (5x-5)
D. Subtracting 5x by (5x -5)
Answer:
6) A. 5x+5
7) D. 0
8) A. 5x+5
9) I'm not sure sorry
Step-by-step explanation:
-2x + 3(-4x + 6) =116
What is it
A triangle has interior angle measures of 5s, 3s - 9°, and 45°, what is the value of s?
Answer:
s = 18
Step-by-step explanation:
Please answer smartly or you will be reported
Thankyou:)
Answer: The answer is B
Step-by-step explanation:
Noah's recipe
Andre's recipe
scoops of powder
cups of water
scoops of powder
cups of water
To make orange fizz, Noah mixes 4 scoops of
powder with 6 cups of water. Andre mixes 5 scoops
of powder with 8 cups of water. Whose mixture has
more orange flavor?
10
15
1
Noah's recipe
because 6 cups of
water is less than 8
cups of water.
Noah's recipe
because he uses
less water per
scoop of powder
than Andre does.
Andre's recipe because
he uses more scoops
of powder per cup of
water than Noah does.
Andre's recipe
because he uses
more scoops of
powder.
Answer:
Noah
Step-by-step explanation:
4/6 = 32/48
5/8 = 30/48
It is simple I did this a while back and got an A
2300 people came to the ball game last week. This week there was a 13% decrease. How many people attended the football game this week. The problem can be represented by the expression p-0.13p.
Answer: 2001 people attended the football game this week.
Step-by-step explanation:
Given: Total people came to the ball game = 2300
Decrease percent = 13%
Number of people attended the football game this week = p-0.13p, where p= number of people attended football last week.
for p= 2300
Number of people attended the football game this week = 2300- 0.13 x (2300)
=2300- 299
= 2001
hence, 2001 people attended the football game this week.