Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−3x
2
−6
6x+4y=42 -3x+3y=-6 by elimination
Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.
x=5
y=2
Answer: (5, 3)
Step-by-step explanation:
Solve by Addition/Elimination
6x + 4y = 42 −3x + 3y = −6
Multiply each equation by the value that makes the coefficients of x opposite.
6x + 4y = 42
(2) ⋅ (−3x + 3y) = (2) (−6)
Simplify (2) ⋅ (−3x + 3y).
6x + 4y = 42
−6x + 6y = (2) (−6)
Multiply 2 by −6. 6x + 4y = 42
−6x + 6y = −12
Add the two equations together to e liminate x from the system.
6x + 4y = 42
±6x + 6y = −12
1 0y= 30
Divide each term in 10y = 30 by 10.
10y = 30
10 10
Cancel the common factor of 10.
y = 30/10
Divide 30 by 10.
y = 3
Substitute the value found for y into one of the original equations, then solve for x.
Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42
Multiply 4 by 3.
6x + 12 = 42
Move all terms not containing x to the right side of the equation.
6x = 30
Divide each term by 6 and simplify.
x = 5
The solution to the independent system of equations can be represented as a point.
(5, 3)
The result can be shown in multiple forms.
Point Form:
(5, 3)
Equation Form:
x = 5, y = 3
Give the domain and range of the relation. Indicate whether the relation is a function or not.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is not a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is not a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
That's the answer.
How do you calculate slope in pre algebra
Answer:
Find the slope from a graph
Locate two points on the line whose coordinates are integers.
Starting with the point on the left, sketch a right triangle, going from the first point to the second point.
Count the rise and the run on the legs of the triangle.
Take the ratio of rise over run to find the slope. m = rise / run.
If two angles are supplementary, then they are not congruent. Which diagram provides a counterexample for the statement?
A) A
B) B
C) C
D) D
Answer:
a
Step-by-step explanation:
supplmentay angles are either of two angles whose sum is 180°
option b is two right angles (90 degree on both) add them together you get 180.
option c is 60 degrees and 120 degrees add them together to get 180 degrees.
option d is 155 degrees and add 25 degrees you get 180.
so the answer is a, because 30 degrees and add the other 30 degrees together you only get 60
The correct answer is A, because 30 degrees and add the other 30 degrees together you only get 60.
What are supplementary angles?The supplementary angles are defined as the angles whose sum is equal to 180°.
Supplementary angles are either of two angles whose sum is 180°
Option b is two right angles (90 degrees on both) add them together you get 180.
Option c is 60 degrees and 120 degrees add them together to get 180 degrees.
Option d is 155 degrees and add 25 degrees you get 180.
Therefore, the answer is A, because 30 degrees and adding the other 30 degrees together you only get 60.
To know more about supplementary angles follow
https://brainly.com/question/12919120
#SPJ2
whats 3(x + 2) = 21?
show work please !!
Answer:
x=5
Step-by-step explanation:
[tex]3(x+2)=21[/tex]
[tex]3x+6=21[/tex]
[tex]3x+6-6=21-6\\\\3x=15\\\\\frac{3x}{3} = \frac{15}{3} \\\\x=5[/tex]
Answer:
x = 5
Step-by-step explanation:
You first have to multiply 3 by x and 2, and you would get 3x and 6. 3(x + 2)=3x +6
Then you have to move the 6 to the other side and it will become negative. 3x= -6 +21
Then you subtract 21-6 to get 15. 3x = 15
Then you are left with 3x = 15.
Divide 3 from both sides and you get x =5.
How would you find x?
Answer:
A
Step-by-step explanation:
x=7
CAN SOMEONE PLEASE HELP ME ON NUMBER 3
Answer:
36
Step-by-step explanation:
How many 8-song play lists contain no songs by One Direction? Suppose Janine decides to let her iPod select an 8-song play list at random.
Answer:
Step-by-step explanation:
What is 2+2? xd noob
Answer:
4
Step-by-step explanation:
You can count on your fingers if you need to or use a calculator.
Answer:
2+2 is 4
Step-by-step explanation:
Please help me with this! I will appreciate the help :)
Answer:
D
Step-by-step explanation:
I'm pretty sure it's D
The graph of is shown on the grid.
Which ordered pair is in the solution set of ?
Answer:
where's the graph rn ?
Step-by-step explanation:
is this question complete?
Simplify the expression 3.8 - 5.1n - 4n + 5
Answer:
8.8-9.1n
Step-by-step explanation:
Add 3.8+5 together to get 8.8, then add -5.1n and -4n to get -9.1n.
PLS HELP WILL GIVE BRAINLIEST
ignore the one i marked
Answer:
im almost postive the one you marked is correct
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
When you elevate by 3 you get:
[tex]\sqrt[3]{g}^{3} = g[/tex]
Hope this helps, have a good day
What was the range of the snowfall in Denver?
7.6 inches
9.2 inches
4.8 inches
5.4 inches
10 points pleas do not answer if u do not know
Answer:
9.2 but I am not sure because it shows that 8.5 so yeah
Step-by-step explanation:
HOPE THIS HELPS
==============================================================
Explanation:
Check out the diagram below
In that diagram, I've marked the highest and lowest bars with red ink.
max = 8.4 inchesmin = 0.8 inchesThe range is simply the difference of the highest and lowest values
So,
range = max - min
range = 8.4 - 0.8
range = 7.6
The answer is choice A.
A box of dried fruit has 54 calories in 3 servings. How many calories are there per serving?
Answer:
18 per serving
Step-by-step explanation:
54/3=18 just divide to find the unit rate
WILL MARK BRAINLIST!!!!
A string of lights is 69 1/3 feet long. The lightbulbs are spaced 8 inches apart. The diagram shows the beginning of the string and the end of the string. What is the total number of lightbulbs on the string of lights?
Answer: 104
Step-by-step explanation:
I multiplied 69 1/3 by 12 to get how many inches it would. Then I divided that answer by 8 and got 103.999999999999. If you round it then you would get 104.
Lauren buys 17 pounds of bread for her restaurant every day at a cost of $1.40 per
pound.
How much does she pay for the bread each day?
Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?
Complete Question:
Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?
Answer:
Tim has 90 hard cover books
Step-by-step explanation:
Represent the paper books as P and the hard covers as H
The total number of books can be represented as:
[tex]P + H = 447[/tex]
From the first statement, we have:
P = 3 less than 4 times H
This means:
[tex]P = 4H - 3[/tex]
Required
Solve for H
Substitute 4H - 3 for P in [tex]P + H = 447[/tex]
[tex]4H - 3 + H = 447[/tex]
Collect Like Terms
[tex]4H + H = 447 + 3[/tex]
[tex]5H = 450[/tex]
Solve for H
[tex]H = \frac{450}{5}[/tex]
[tex]H = 90[/tex]
Hence:
Tim has 90 hard cover books
Which expression is equivalent to -44
PLease asap 12 points please dont just take them
Answer:
|44|
Those are not Ones, those are the straight lines you can type using the Shift key and the key underneath the Backspace :)
Step-by-step explanation:
-44 is 44 places away from zero, and |44| is also 44 places away from zero. For those who are wondering, this symbol: | if is placed around a certain number, the positive or negative effect on that number is taken away, and the number is just thought as of that many spaces away from zero. EX: -9 => |9| is now not negative
Answer:
One equation is -22+-22
Find p(4) p(x) = 3x - 9
Answer:
p(4)=3
Step-by-step explanation:
p(4)=3(4)-9=12-9=3
Find h. (system of equations)
Step-by-step explanation:
xtan45° = (x+600)tan30°
x(tan45°-tan30°) = 600tan30°
x = 819.62m.
Therefore h = xtan45° = x = 819.62m.
Can you help with 3,5,6 please Also can you explain how you did 5 please I dont understand well
Answer:
3) 46 5) 19.5 6) 31.2
Step-by-step explanation:
all the "y" numbers are the product of the "x" numbers being added or subtracted by something. In 5, y=x-1.5
A department store is offering the same percentage discount on all of their shoes. Suppose one pair of shoes is marked down from $70 to $49. Based on that percentage discount, what would the new price be for a pair of shoes that originally cost $100?
MIDDLE SCHOOL QUESTION
4. You have $40 in your wallet, but you do not want to spend all of it. You want to have at least some money left. You find a shirt for $5 and buy it. What is the amount of money (m) you have left to spend?
OPTIONS (MULTIPLE CHOICES) ARE IN THE COMMENTS
Answer:
B
Step-by-step explanation:
Inverse operations are mathematical operations that undo one another. Division is the inverse operation of multiplication. -2 × 6 = -12. -12 ÷ 6 then "undoes" this multiplication, leaving us with a quotient of -2. Multiplication and division follow the same rules related to signs. A negative integer multiplied by a positive integer gives us a negative product. Similarly, a negative integer divided by a positive integer gives us a negative quotient. However, unlike multiplication, division is not commutative. If you change the order of the number you're dividing and the number you're dividing by, you will get a different quotient. Find the quotient: -54 ÷ 9 =
Answer:
-54/9=-6
Step-by-step explanation:
When doing this division we need to take a couple of things into account. First, notice we are dividing a negative number into a positive number, therefore our answer must be negative.
Second, notice that 9 fits 6 time into 54, therefore:
-54/9=6
We can look at this graphically, if we have 54 squares and divided them in groups of 9, we would get 6 groups of 9 in total.
See attached picture.
plzzz help answer tyhese
The slope is m=2 in the first picture. Can be done by rise/run.
The second graph has an undefined slope. Using rise/run would get the run value = 0 and that'd make the slope undefined because the denominator cannot be 0.
An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the number of seconds, and d, the total distance the wave travels?
Answer:
2.2 m/s
Step-by-step explanation:
Step one
Given data
An earthquake wave travels through 55 km
hence distance = 55 km
time taken = 25 seconds
Required
the expression relating t and d
Step two:
we know that velocity is
Speed= distance/time
speed= 55/25
Speed= 2.2 m/s
I need help plzzzzzzzzz
anyone question 8 pleaseeeeeeeeeee
Answer:
$200 and $450
Step-by-step explanation:
We can start by assigning variables to our unknowns.
Our unknowns are the price for a DVD player and the price for a television.
x= price of a television
y= price of a DVD player
Next, let's translate the given information into a system of equations.
two televisions and three DVD players for $1750
2x+3y=1750
four televisions and one DVD player for $1250
4x+y=1250
Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.
First, from the second equation, we subtract 4x from both sides.
4x+y-4x=1250-4x
y=1250-4x
Now we plug 1250-4x for y in the first equation.
2x+3y=1750
2x+3(1250-4x)=1750
Distribute.
2x+3*1250-3*4x=1750
Simplify.
2x+3750-12x=1750
Combine like terms.
-10x+3750=1750
Subtract 3750 from both sides
-10x+3750-3750=1750-3750
-10x=-2000
Divide both sides by -10
x=200
A television costs $200.
Now using that, we can plug that into one of the original equations. I'll use the second one.
4x+y=1250
4(200)+y=1250
800+y=1250
Subtract 800 from both sides.
y=450
A DVD player costs $450
You can plug those values back into the other equation (the first one) to double-check if you'd like as well.