Which equation has a graph that is a parabola with a vertex at (1,HI)?
Oy=(-12+1
O y--1-
O y=(«+ 1) +1
O y=x+1)-1
Answers
Answer:
[tex]y = (x +1)^2 - 1[/tex]
Step-by-step explanation:
Given
[tex]Vertex = (-1,-1)[/tex]
Required
Determine the equation
The equation of a graph from a vertex is:
[tex]y = a(x - h)^2 + k[/tex]
Where
[tex]a = 1[/tex]
[tex](h,k) = (-1,-1)[/tex]
Substitute these values in [tex]y = a(x - h)^2 + k[/tex]
[tex]y = 1(x - (-1))^2 + (-1)[/tex]
Express -(-1) as 1
[tex]y = 1(x +1)^2 + (-1)[/tex]
Express +(-1) as -1
[tex]y = 1(x +1)^2 - 1[/tex]
[tex]y = (x +1)^2 - 1[/tex]
Hence, the equation is:
[tex]y = (x +1)^2 - 1[/tex]
Related Questions
Which of the following statements about air masses is true?
A.
Air masses maintain the same moisture and temperature as they move over new areas.
B.
Air masses are areas of condensed water vapor, which are also known as clouds.
C.
Air masses are responsible for creating holes in the ozone layer.
D.
Air masses are created by patterns of heating and cooling of the Earth's surface.
Answers
Air masses are created by patterns of heating and cooling of the Earth's surface. Therefore, option D is the correct answer.
Air masses are large bodies of air that move over the Earth's surface. They are created when large amounts of air are heated and cooled in different areas of the Earth. As the air masses move, they maintain the same moisture, temperature, and other characteristics they had when they originated. Air masses are responsible for many of the weather patterns we experience on Earth.
Therefore, option D is the correct answer.
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A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking.
P(purple) =
p(white)=
p(not blue)=
Answers
P(white)=4/20=1/5
P(not blue)=15/20=3/4
The factors of 2x^2 + xy - 3y^2 are
A (2x - 3y)(x + y)
B (2x + 3y)(x - y)
C (2x - y)(x + 3y)
D (2x + y)(x - 3y)
Answers
Answer:
B. (2x + 3y)(x - y)
Step-by-step explanation:
[tex]2x^{2} +xy-3y^{2}[/tex] Write x y as a difference
[tex]2x^{2} +3xy-2xy-3y^{2}[/tex] Factor out x from the equation
[tex]xx(2x+3y)-yx(2x+3y)[/tex] Factor out 2x+3y from the expression
[tex](2x+3y)x(x-y)[/tex] <----- Answer
The factors of [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex].
What are factors ?Factors is a number or algebraic expression that divides another number or expression. i.e., with no remainder
We have,
[tex]2x^2 + xy - 3y^2[/tex]
Now,
Using the middle term split method,
[tex]2x^2 + xy - 3y^2[/tex]
Splitting the mid term;
[tex]2x^2 - 2xy + 3xy - 3y^2[/tex]
Now taking commons,
[tex]2x(x - y) + 3y(x - y)[/tex]
Now again taking common factors
We get,
[tex](x - y) (2x+ 3y)[/tex]
So, the factors of given expression are [tex](x - y) (2x+ 3y)[/tex].
Hence, we can say that the factors of [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex] which are given in option [tex](B)[/tex] .
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Audrey and chase are 22.5 miles apart on a path when they start moving towards each other. Chase friends and a constant speed of 6 mph, in Audrey works at a constant speed of 3 mph. How long does it take onto chase and Audrey meet?
Answers
Answer:
4 is a great place to be your
Step-by-step explanation:
I am not it 4455rrfrt9999999999 forver rip juice wrld
If g(x) = 2x2 + 6x + 5, use synthetic division to find g(-5).
Answers
=================================================
Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.
what is. the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?
Answers
Answer:
x=2
Step-by-step explanation:
We first distribute this. So we have 15x-10 = 10 + 6 +2x.
Then we move the variable to one side and have 13x= 10+10+6
Simplify to get 13x = 26.
x=2
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?
Answers
Answer:
36
Step-by-step explanation:
Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12
The only number within the given range is 36
The number of students should be in the class should be considered as the 36.
Calculation of the number of students:Since
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
So here the total ratio should be like
= 5 + 7
= 12
So here the number of students should be divisible by 12
So, it should be 36
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IIIII NEEEEEEED HELLLLLLP
Answers
Answer:
-6 > -x
Step-by-step explanation:
2 < -x/3
Multiply both sides by -3. Flip the sign because we are multiplying by a negative.
Solution:
-6 > -x
Solve the inequality. −2x<18
Answers
Answer:
x=- 9
Step-by-step explanation:
hope it helps mark me as brainliest thank you
5y + 4
+ (y + 7)
subtracting polynomials
Answers
Answer:6y+11
Step-by-step explanation:
Answer:I really don’t know lol
Graph the rational function f of x equals quantity 2 times x minus 3 end quantity divided by quantity x plus 4 end quantity.
A rational function is graphed in the first quadrant, and in the third and fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals 4.
A rational function is graphed in the second quadrant, and in the first and third quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 4.
A rational function is graphed in the second quadrant, and in the fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals 1.
A rational function is graphed in the first quadrant, and in the third quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 1.
Answers
Answer:
A The answer is A
Step-by-step explanation:
Timothy is sorting his building blocks into 8 bins. Each bin can hold 286 blocks. He has already put 74 blocks in the bins. How many more blocks does Timothy need to sort?
Answers
Answer: 2214 blocks
Step-by-step explanation:
From the question, we are told that Timothy is sorting his building blocks into 8 bins and that each bin can hold 286 blocks. Therefore, the total blocks that the bins would hold would be:
= 286 × 8
= 2288 blocks.
We are further told that he has already put 74 blocks in the bins. The number of remaining blocks that Timothy need to sort would be:
= 2288 - 74
= 2214 blocks
6. Which graph best represents the solution set of y>3 x-4?
Answers
The required graph of the solution to the given inequality y>3 x-4 has shown.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
y > 3x-4
Illustrating the above inequality on the coordinate plane, the yellow shaded region shows the solution of the given inequality y > 3x-4.
Thus, the required graph of the solution to the given inequality y>3 x-4 has shown.
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Which line has a slope of 1/2 and passed through (2,-4)
Answers
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
The third side is 3√6 units.
Step-by-step explanation:
Given that this is a 90° triangle so you can apply Pythagoras Theorem :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]
[tex] {a}^{2} = 90 - 36[/tex]
[tex] {a}^{2} = 54[/tex]
[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]
just use theorem pythagoras
Increase £2123 by 8%
Give your answer rounded to 2 DP.
Answers
Answer:
2292.84
Step-by-step explanation:
A 5 foot tall student casts a shadow that is 8 feet long. A 12.5 foot flag pole close by casts a shadow with an unknown length, s. What is the length of the flag pole’s shadow, s?
Answers
Answer:
15.5
Step-by-step explanation:
find the equation for the line
Answers
Answer:
y = 1/2x + 1.5
Step-by-step explanation:
first find the slope and then put it in y= x+b
you can see that to get from (-1,1) to (1,2) you must go up one and over two
slope is = rise over run --> rise 1 and run 2
the b is were it hit threw the y intercept
PLEASE ANSWER ASAP THANKSSS :)
Sal wants to know if he has enough money to buy 4 gallons of gas. If he has $15, and each gallon of gas costs $3.29, which is a good estimate for whether Sal will be able to afford 4 gallons of gas?
$3 + $3 + $3 + $3 = 12, so Sal can afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal can afford the gas.
$3 + $3 + $3 + $3 = 12, so Sal cannot afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal cannot afford the gas.
Answers
Answer:
The first one ( $3 + 3 + 3 + 3 = 12, so Sal can afford the gas. )
Step-by-step explanation:
helpp
2^2 - (2)(-2) - (-2)^2
Answers
Answer:
4
Step-by-step explanation:
2^2 - (2)(-2) - (-2)^2
=4+4-4
=4
2² - (2 × -2) - (-2²)
= 4 - (-4) - 4
= 4 + 4 - 4
= 8 - 4
= 4
Equation of the Line
Lesson
I
After going through this lesson, you are expected to find the equation of a
line given (a) two points, (b) the slope and a point and (c) the slope and its
intercepts
From the given linear equation, we can determine 2 points that will satis-
fy the equation. Also we can determine the slope and the y- intercept so as the
x and y intercepts.
Example: Given - 2x + y = 6
Find: a. two points that will satisfy the equation
(b) slope and y-intercept
(c) x and y intercept
Solution:
(a) -2x + y = 6
If x = -1
If y = 2
-21-1) + y = 6
- 2x + 2 = 6
2 + y = 6- y = 4
-2x = 4-x= -2
The point is (-1,4)
The point is (-2, 2)
(b) Change the equation to slope intercept form : y = 2x + 6
Therefore the slope m = 2 and the y-intercept b = 6
(c) Find the and y intercept of -2x + y = 6
Let x = 0, -2(0) + y = 6; y = 6. the intercept is (0,6)
Let y = 0, -2x + 0 = 6; -2x = 6, X = -3, the y intercept is (-3,0)
Learning Task 1 : From the given equation of the line a) find two points that will
satisfy the equation, b) the slope and the y intercepts and c) the x and y-
intercepts.
2.
3y - X9
1. 3x + 2y = 5
Answers
9514 1404 393
Answer:
a) (0, 5/2), (5/3, 0)
b) m = -3/2; b = 5/2
c) (5/3, 0), (0, 5/2)
Step-by-step explanation:
Given:
3x +2y = 5
Find:
a) two points that satisfy the equation
b) slope and y-intercept
c) x-intercept
Solution:
Since the intercepts are points on the line, finding them satisfies all parts of the question except finding the slope.
a) Let x=0. Then we can find y from ...
3·0 +2y = 5
y = 5/2
One point is (0, 5/2).
Let y=0. Then we can find x from ...
3x +2·0 = 5
x = 5/3
Another point is (5/3, 0).
Two points on the line are (0, 5/2) and (5/3, 0).
__
b) The slope can be found using the slope formula on the two points we found.
m = (y2 -y1)/(x2 -x1)
m = (0 -5/2)/(5/3 -0) = -(5/2)/(5/3) = -3/2
The slope is -3/2. The y-intercept is 5/2.
__
c) The x- and y-intercepts are (5/3, 0) and (0, 5/2), respectively.
helppppppppppp pleaseeeeeee
Answers
Answer:
3 1/2 miles each practice
Step-by-step explanation:
Answer:
3 1/2
Step-by-step explanation:
2x+4x -17y
I need the answer please
Answers
Answer:
6x-17y
Step-by-step explanation:
2x+4x-17y
6x-17y
Solve for x:
3x – 2 (5 – x) = 30
Answers
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3x - 2(5 - x) = 30
Step 2: Solve for x
Distribute -2: 3x - 10 + 2x = 30Combine like terms: 5x - 10 = 30Isolate x term: 5x = 40Isolate x: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8) - 2(5 - 8) = 30Multiply: 24 - 2(5 - 8) = 30Subtract: 24 - 2(-3) = 30Multiply: 24 + 6 = 30Add: 30 = 30Here we see that 30 does indeed equal 30.
∴ x = 8 is the solution to the equation.
HURRRY FIRST GETS BRAINLIESTTTT
Answers
Answer:
B) one function has a higher rate of change
Step-by-step explanation:
I used process of elimination
A) one function is linear are the other is non linear:
False, because they are both lines.
C) one function has a higher starting value
False, because they both start at 0
D) they are both the same function
False, because one has a steeper slope than the other one
A child has 60 total coins. There are ten times as many nickels as there are quarters (q) and twelve more dimes than quarters. Write an equation to represent this situation
Answers
Answer:
10q+q+(12+q)=60
I need help with this. This is a test so please answer is correctly!!!
Answers
Answer:
4 batches
Step-by-step explanation:
just took the quiz can i have Brainliest pls
Answer:
4 batches
Step-by-step explanation:
Need help asap not really good with these types of questions
Answers
Step-by-step explanation:
AC = AD result : given (Side congruence)
CB = DB result: given (Side congruence)
AB =AB result : reflexive property (side congruence)
ACB=ADB (SSS)
6x + 3y = 33
4x + y = 15
Answers
A ball Is dropped from a height of 100'. The height of the ball can be determined using the equation h = -16t^2+ 100, Where H is the height, in feet, and T is the time in seconds. If age equals 0 Kama find all the values of T and determine whether the values are reasonable for this solution
Answers
Answer:
2.5secsStep-by-step explanation:
Given the height of the ball modeled by the equation h = -16t^2+ 100, where
h is the height
t is in seconds
We can find the time taken by the ball to reach the ground.
The ball reaches the ground when the height h = 0
Substitute h = 0 into the equation and find t;
0 = -16t^2+ 100
16t^2 = 100
t^2 = 100/16
t = √100/16
t = 10/4
t = 2.5secs
Hence the ball reaches the ground after 2.5secs