Write the equation of the parabola in vertex form.
Vertex: (−4,6); Point: (−2,−2)
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
What is the equation of a line that is parallel to the line y = 2x + 7 and passes through the point (–2, 4)? A. y = −12x + 3 B. y = 2x + 4 C. y = −12x − 2 D. y = 2x + 8
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept)
y = 2x + 7 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation
To find c substitute (- 2, 4) into the partial equation
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = 2x + 8 → D
Julie bought $8.64 worth of 57-cent stamps and 30-cent stamps. The number of 30-cent stamps was 6 less than the number of 57-cent stamps. Solve the equation 0.57 s + 0.3 ( s − 6 ) = 8.64 for s , to find the number of 57-cent stamps that Julie bought.
Answer:
The number of 57-cent stamps that Julie bought is 12
Step-by-step explanation:
Given equation
0.57 s + 0.3 ( s − 6 ) = 8.64
Open bracket
0.57s + 0.3s - 1.8 = 8.64
Collect like terms
0.87s = 8.64 + 1.8
0.87s = 10.44
Divide both sides by 0.87
s = 12
The number of 57-cent stamps that Julie bought is 12
Is this a function or no
Answer:
No
Step-by-step explanation:
It is not properly done.
please help!! i need math help loll
Answer:
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
3 * 3 * 3 = 27
Hope this helps and pls do mark me brainliest if you can:)
4.(03.06 MC)
Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.
Answer:
y=-3x+1
Step-by-step explanation:
How do you expect me to respect you when you don’t respect yourself
Answer:
You don't
Step-by-step explanation:
*Mind Blown*
PLEASE HELP ILL UP THE POINTS AND VOTE BRAINLIEST What is the equation of a line that has an undefined slope and passes through point (3,2)?
Answer:
x=3
Step-by-step explanation:
A line with an undefined slope is a vertical line where for each and every value of y ; x has the same value.
In this problem the x value is 3
Therefore the equation for the line is:
x = 3
-16 - (-30) = ?
please help me, i cant figure it out
Answer: 14
Step-by-step explanation:
1. Add the two negative sign together to make a plus:
-16 + 30
2. Do the math
-16 + 30 = 14
Answer:
-14
Step-by-step explanation:
All you need to do is subtract the 2 numbers without the negitv then when your done add the negitve
Please answer this for me it’s due tonight!
Answer:
the answers are the first one and the third one.
A's slope is y = 5.75x + 3
B's slope is y = 5.5x + 4
please help!! It’s for geometry!!
Answer:
1. SAS
2. SSS
3. SAS
4. SAS
5. SSS
6. SSS
7. SAS
8. SSS
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
A basketball team played five games. In those games, the team won by 7 points, lost by 3, won by 4, lost by 2, and won by 9. What was the mean difference in game scores over the five games? The mean difference in game scores over the five games was
Given:
A basketball team played five games.
In those games, the team won by 7 points, lost by 3, won by 4, lost by 2, and won by 9.
To find:
The mean difference in game scores over the five games.
Solution:
Total number of games = 5
Scores in 5 matches are 7, -3, 4, -2, 9.
Positive sign is used for winning and negative sign is used for losing the game.
We know that,
[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]Mean=\dfrac{7-3+4-2+9}{5}[/tex]
[tex]Mean=\dfrac{20-5}{5}[/tex]
[tex]Mean=\dfrac{15}{5}[/tex]
[tex]Mean=3[/tex]
Therefore, the mean difference in game scores over the five games was 3.
The scatterplot shows the number of hours that several students worked to sell tickets for a concert and the number of tickets that each student sold.
A graph titled Ticket Sales has number of hours on the x-axis, and number of tickets on the y-axis. Point (1, 60) is outside of the cluster.
Which data value would cause the interpretation of the data set to be overstated?
(1, 10)
(1, 60)
(9, 85)
(10, 80)
Answer:
B 1,60
Step-by-step explanation:
Answer:
B 1,60
Step-by-step explanation:
did the test
what is the translation of the expression 5 more than twice x
Answer:
5+2x
Step-by-step explanation:
Answer:
5 + 2x
Step-by-step explanation:
and Slope
Which point-slope equation represents a line that passes through (3,-2) with a slope of - 4?
5
Oy-3=-=(x + 2)
Oy-2 = (x-3)
Oy+2=-(-3)
Oy+3 = (x + 2)
Answer: y+2=-4/5(x-3)
Step-by-step explanation:
The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given is a slope of a line and a point passing by it, we need to find the equation of the line,
So, the general equation of the line is :-
y = mx + c
where, m is the slope, and the c is the y-intercept.
Put the value of the slope given, in the equation,
y = -4x+c
Now, for find the value of c, just put the values of the x and y from the point in the equation,
-2 = -4(3) + c
c = -2+12
c = 10
Now, we get the value of the c,
So, the equation is y = -4x+10
Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10
Learn more about equation, click;
https://brainly.com/question/29657983
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Pentagons ABCDF and JKLMN below are similar, but not necessarily drawn to scale. Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would show you how to answer a similar question.
We can say that polygons are similar if they have the same shape but not necessary same size. Also their corresponding angles are equal, while their corresponding sides are proportional.
From the image attached, we can see the lengths of the sides, hence we can find the values of x.
[tex]\frac{JN}{AE}=\frac{LM}{CD}\\ \\\frac{4.8}{4}=\frac{x}{3}\\ \\1.2=x/3\\\\x=3.6[/tex]
SOME 1 HELP WITH 12 ASAP !! plzz
Answer:
10%
Step-by-step explanation:
40 times 1% equals 4 (inverse operation)
What is the slope of the line y = -2?
Answer:
0
Step-by-step explanation:
There is no x, therefore there is no slope.
Factor 2x^3-5x^2-4x+3
Answer:
(2 x - 1) (x + 1) (x - 3)
Step-by-step explanation:
Factor the following:
2 x^3 - 5 x^2 - 4 x + 3
Hint: | Find all linear factors of 2 x^3 - 5 x^2 - 4 x + 3 via the rational root theorem. Do this by finding rational roots. The candidates are x = ± p/q for all p that are divisors of the constant term 3 and for all q that are divisors of the leading coefficient 2.
The possible rational roots of 2 x^3 - 5 x^2 - 4 x + 3 are x = ± 1/2, x = ± 3/2, x = ± 1, x = ± 3. Of these, x = 1/2, x = -1 and x = 3 are roots. This gives 2 x - 1, x + 1 and x - 3 as all factors:
Answer: (2 x - 1) (x + 1) (x - 3)
Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139.
How many hours did she spend babysitting?
How many hours did she spend giving music lessons?
The price for a cell phone was reduced from $30 to $18. By what percentage was the cell phone reduced?
Answer choices:
25%
40%
15%
Answer: 40%
Steps: Forty percent of $30 is $18.
Plz mark brainliest:)
Answer:
25%
Step-by-step explanation:
if tan A= 1,what is the value of A
Answer:
45°
Step-by-step explanation:
Ok, so, there is one thing I need to point out. 45° is the 'main' value if you assume 0°<A<180°. However, sin, cos, and tan have different periods which means that there are infinite values of A where tanA = 1. The general notation that you could put is A = 45° + (n*180°) where n is just a number. For example, if n = 1, you would get an angle of 225°. If you plug tan225° into the calculator, you get 1. If you did radians, you could write A = [tex]\frac{\pi}{2} + n\pi[/tex]. But ignore that if you haven't. Basically, the answer would be 45° if you are assuming A is between 0° and 180°. Also, you could have just used your calculator and types inverse tan function ([tex]tan^{-1}[/tex]) and plug in 1 to find the primary answer of 45.
A square and rectangle have the same perimiter. The length of a side of the square is 4x-1. The length of the rectangle is 2x+2 and the width is 2x. Write and solve and equation to find x.
Answer:
Square Perimeter = 4(4x-1)
Rectangle Perimeter = 2(2x+1) + 2(x+2)
Square Perimeter = Rectangle Perimeter
4(4x-1) = 2(2x+1) + 2(x+2)
16x - 4 = 4x + 2 + 2x + 4
16x - 4 = 6x + 6
-6x +4 -6x +4
10x = 10
x = 1
Step-by-step explanation:
hope that helped?
i will literally pay you pls help me :(
The answer is 35
Since they are supplementary they both equal 180 degrees.
(3x+10)+(2x-5)=180
Add them up
5x-5=180
Subtract 5 from both sides
5x=180-5
5x=175
Divide 5 from both sides
x=35.
I need a quick run down of point slope form
Answer:
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
Step-by-step explanation:
Answer:
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line.
Hope this helps you Stay happy and safe ✌️Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is
10 1/2 inches long, how many pieces can he make?
Answer:
5.25
Step-by-step explanation:
Six different colored dice are rolled. Of interest is the number of dice that show a one. In words, define the random variable X. List the values that X may take on. Give the distribution of X. X ~ _____(_____,_____) On average, how many dice would you expect to show a one? Find the probability that all six dice show a one. Is it more likely that three or that four dice will show a one? Use numbers to justify your answer numerically.
Answer:
Step-by-step explanation:
Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.
Hence, 6 dice are rolled at once for this experiment.
Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:
The number of dots that show on the upward face of the rolled dice.
The values that X may take on are:
1 2 3 4 5 6
On average, how many dice would you expect to show a one?
One die.
How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.
Find the probability that all six dice show a dot in just one toss.
Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.
1/6 divided by 6 = 0.167/6 = 0.028 approximated to three decimal places.
This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!
Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?
The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.
Kudos!
Capella is the 6th brightest star in the sky and is 41 light-years from earth. How many miles will light from Capella travel on its way to earth?
PLEASE EXPLAIN YOUR ANSWER THROUGHLY (i need to learn for a test)
9514 1404 393
Answer:
2.41×10^14 miles
Step-by-step explanation:
The distance usually associated with a light-year is about 6 trillion miles. More precisely, it is about 5.879×10^12 miles. Then 41 light-years is 41 times that distance, or ...
41 light-years = 41(5.879×10^12 miles) ≈ 2.41×10^14 miles
_____
You can figure the length of a light-year from the speed of light and the length of a year. The speed of light is about 186,282.4 miles per second. The number of seconds in a day is 86,400, and the number of days in a year averages 365.2425. Multiplying these values gets you to 5.878664e12 miles per year. The number used above is reasonable for most purposes. At astronomical distances, it is difficult to measure precisely.
HELP WITH THIS OLEASE I WILL MAKE BRWINLIST
Answer:
y=6x-2
Step-by-step explanation:
I THINK I DID THIS LAST YEAR SO IM NOT COMPLETELY SURE HOPE THIS HELPS:)
Answer:
y=1.2x-2
Step-by-step explanation:
add 6x to both sides (5y = 6x-10)
divide both sides by 5 (y = 1.2x - 2)
one point you will find on (0,-2) and another point will be (5,4)
you need at least 2 points to graph the line
Show me how to do this one someone help
Answer:
4
Step-by-step explanation:
Answer:
The slope of the line is y = -3x+4.