FREE BRAINLIEST - EZ QUESTION: Write the equation of the parabola that has the vertex at point (−2,7) and passes through the point (−1,3).
Answers
Answer:
y = -4(x +2)² + 7
formula for parabola: y = a(x-h)² + k
Where (h, k) denotes the vertex
vertex: (-2, 7) point: (-1, 3)First find a:
3 = a(-1-(-2))² + 7a + 7 = 3a = -4Thus equation:
y = -4(x-(-2))² + 7y = -4(x +2)² + 7
Answer:
y = -4x^2 - 16x - 9.
Step-by-step explanation:
The vertex form is:
y = a(x - b)^2 + c where a is a constant, and (b, c) is the vertex
So we have
y = a(x + 2)^2 + 7
When x = -1, y = 3 so:
3 = a(-1 + 2)^2 + 7
3 = a + 7
a = -4.
So the equation is
y = -4(x + 2)^2 + 7
y = -4x^2 - 16x -16 + 7
y = -4x^2 - 16x - 9.
Related Questions
Why 00,13,589 is not the smallest possible 7-digit number?
Answers
Answer:
1000000 is the smallest 7-digit number
Help! Please!
Melanie bought a trampoline for her son. The price of the trampoline was $498.00 in a city where the sales tax is 6.7%. Find the sales tax and the total cost of the trampoline.
Sales tax: $_____
Answers
Answer:
$22.11. $23.41. $23.79.
Step-by-step explanation:
2.36 ÷ $32.00 = 0.0735. Sales tax was charged by the department store at a rate of 7.375%.
Answer: Mr. Smith should pay the department store $32.00 plus $2.36 in sales tax for a total bill of $34.36.
Sales tax rates vary from state to state. Retail sales tax rates are set by the individual states in the United States and vary from 0 to 9% of the sales price. Sales tax is usually the responsibility of the merchant to collect and submit to the state, and stated separately (or implicitly added at the time of the sale) to consumers. Let's look at some
Two lines that are ____________ have one solution.
Answers
Answer:
Not parallel
Step-by-step explanation:
Could be perpindicular or not parallel
Janyah is expected to receive a 4% raise after her yearly evaluation? Her current pay is $14.25 per hour. Calculate her new annual pay?
Answers
Answer:
$14.82
Step-by-step explanation:
14.25 + (4% × 14.25) =
14.25 + 4% × 14.25 =
(1 + 4%) × 14.25 =
(100% + 4%) × 14.25 =
104% × 14.25 =
104 ÷ 100 × 14.25 =
104 × 14.25 ÷ 100 =
1,482 ÷ 100 =
14.82
Consider the graph given below. Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above. Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2 Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6 Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2 Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
Answers
The sequences of transformations that could be applied to the parent function are (e) Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units
How to determine the sequence of transformation?The graph that completes the question is added as an attachment
From the attached graph, we have the following points
(3, 0) and (0, 6)
Calculate the equation of the line using
[tex]g(x) = \frac{y_2 - y_1}{x_2 -x_1} * (x - x_2) + y_2[/tex]
This gives
[tex]g(x) = \frac{6 - 0}{0 -3} * (x - 0) + 6[/tex]
Evaluate the quotient
g(x) = -2 * (x) + 6
Expand
g(x) = -2x + 6
This means that the equation of the line is:
g(x) = -2x + 6
So, we have:
f(x) = x as the parent function and g(x) = -2x + 6 as the transformed function.
The transformations from f(x) to g(x) are as follows:
Reflect over the y-axis i.e. f'(x) = -f(x) = -xStretch vertically by a factor of 2 i.e. f"(x) = 2f'(x) = -2xShift up by 6 units i.e. g(x) = f"(x) + 6 = -2x + 6Hence, the sequences of transformations that could be applied to the parent function are (e) Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units
Read more about transformation at:
https://brainly.com/question/13810353
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Select all numbers that are solutions to the inequality w < 3.
A. -7
B. -1.5
C. 1
D. 5
E. 0
Answers
Answer:-7,0,1.5
Step-by-step explanation: they are lower then number three
what is the slope of line QX? X(5,5) and Q(4,1)
Answers
Answer:
4
Step-by-step explanation:
[tex]slope = \frac{5 - 1}{5 - 4} \\ = \frac{4}{1} \\ = 4[/tex]
Answer: 4
Step-by-step explanation:
Slope is rise over run, which is the change in the y-values divided by the change in the x-values. Each point is given as a coordinate pair: (x,y).
For point Q (4,1) the y-value is 1 and the x-value is 4.
For point X (5,5), the y-value is 5 and the x-value is 5.
To find the slope, take the y-value for point X minus the y-value for point Q. That is the numerator of your slope. Then take the x-value for point X minus the x-value for point Q. That is the denominator of your slope.
The numerator divided by the denominator equals the slope.
(5-1)/(5-4) = (4)/(1) = 4
can a parking lot be built at angle K. why or why not
Answers
What are souloutions to (x+9)^2=49
Answers
x+9=24.5
x=24.5-9
x=15.5
I think it right
please help fast it is due
Answers
A right triangle with a 45 degree angle means the two short sides are the same, so y = 30
the hypotenuse is the length of the side x sqrt (2), so x =30sqrt(2)
answer: x = 30sqrt(2) and y = 30
A bag of flour weighs 2.5 kilograms.
About how much does the bag weigh in pounds ?
Round to the nearest tenth
I'll give you 55 points
Answers
Answer:
5.5 pounds
Explanation:
weight in kg = 2.5 kilograms
conversion:
1 kg ↔ 2.205 pounds
solve:
2.5 kilograms = (2.5 * 2.205)2.5 kilograms = 5.511557 pounds2.5 kilograms = 5.5 pounds ( rounded to nearest tenth )Answer:
5.5 pounds (nearest tenth)
Step-by-step explanation:
1 kilogram = 2.20462262 pounds
To determine how many pounds are in 2.5 kg, multiply by 2.5:
⇒ 2.5 kilograms = 2.20462262 × 2.5
= 5.5 pounds (nearest tenth)
Use the number line below to determine which of the following answer choices has statements that are all true.
Answers
Answer:
I agree with D
Step-by-step explanation:
just because
Find the volume of the cone below.
Answers
Answer:
C. 2027.4 m^3
Step-by-step explanation:
volume = (1/3) · π · r^2 · h
volume = (1/3) · π · 8.8^2 * 25
volume = (1/3) · π · 1936
volume = (1/3) · 1936π
volume = 2027.4 m^3
There is a pair of parallel sides in the following shape. 4 4 6
Answers
20 units²
Step-by-step explanation:[tex]Becanse\ simple\ form:[/tex]
[tex]S=(4+6)\times4\times\frac{1}{2}[/tex]
[tex]=10\times 2\\ =20\ units\ ^2[/tex]
[tex]algorithm\ rule)[/tex]
I hope this helps you
:)
The area of the shape is 20 square units.
What is a trapezoid?An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
Given that a shape is in trapezoid form.
The dimensions of the parallel sides are 4 and 6 units.
And a perpendicular side is 4 units.
The formula for the area of a trapezoid is:
Area = (1/2) × (sum of parallel sides) × (perpendicular distance between them)
In this case, the parallel sides have lengths 4 and 6 units, and the perpendicular distance between them is 4 units.
Substituting these values into the formula, we get:
Area = (1/2) × (4 + 6) × 4
Area = (1/2) × 10 × 4
Area = 20 square units
Therefore, the area of the trapezoid is 20 square units.
To learn more about the trapezoid;
https://brainly.com/question/8643562
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Can someone please tell me the rest of the answers?
Answers
Answer:
35 miles per hour.
223 minutes to reach destination.
Step-by-step explanation:
It's counting down by 35
35 miles per hour.
260/35=7.42857142857
7.42857142857*30=222.857142857
Rounding to nearest whole number
223
SonicIsCoool
On Scratch you tube, Inst and much more here to help :)
round 7.430499778 to the nearest millionth
Answers
When given the set of variables, solve for X
Answers
Answer: B
Step-by-step explanation:
Write the equation of the given line in slope-intercept form:
Answers
Answer:
Step-by-step explanation:
so u add it like its a shape and put a x and there :)If you can help me with this please and thank you
Answers
Answer:
1) im not sure
2) im not sure
3) 72 degrees
Step-by-step explanation:
Hi. What's 8.563 + 4.8292?
Answers
Answer:
8.563 + 4.8292 = 13.3922
Step-by-step explanation:
Remember to line up the decimal points and put zeros in any right-hand columns that don't have numbers if necessary (ex: 8.5630 + 4.8292).
Hope this helps!!
Please help for mooolah :(((
Answers
Answer: 61 in^2
Step-by-step explanation
triangle length = half of left side + 1.5
triangle length = 2 + 1.5 = 3.5
triangle area = (.5)(base)(length)
triangle area = (.5)(6)(3.5) = 10.5
you have 2 triangles
10.5 + 10.5 = 21
area of rectangle = left side width x length
area of rectangle = 4 x 10 = 40
add areas
21 + 40 = 61
Answer:
61 in^2
Step-by-step explanation:
The arrow is made of a rectangle and a triangle.
The rectangle's lengths is 10 in by 4 in. So, its area is 10 in * 4 in = 40 in^2
The triangle's lengths are 7 in by 6 in. So, its area is (7 in * 6 in)/2 = 21 in^2
add everything together.
The table shows the possible outcomes of spinning the given spinner and tossing a fair coin. find the probability of spinning a 1 and tossing a head.
Answers
Considering a six-sided spinner, it is found that the probability of spinning a 1 and tossing a head is of [tex]\frac{1}{12}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
For the spinner, one is one out of six possible outcomes.For the coin, a head is one out of two possible outcomes.Since the events are independent, the probability of spinning a 1 and tossing a head is given by:
[tex]p = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}[/tex].
More can be learned about probabilities at https://brainly.com/question/14398287
(Please someone help me!) (No links!)
What do I put??
Answers
Answer:
X=16
Missing angle = 48
Step-by-step explanation:
The measure of the missing angle is 48
This is because it’s a right angle meaning the two angles HAVE to equal 90.
You can set the equation as
42 + 3x=90
3x= 48 (subtract 48 by 90)
X=16 (divide both sides by 3)
And then you can plug 16 back into the 3x which would be 3(16) which equals 48
Or
You can set the equation as
90-42= 48
And divide by 3 to get x=16
I don’t understand this at all
Answers
keeping in mind that Mt Everest is 8000 meters, or namely 8 Kilometers, Check the picture below.
Lisa brought $5.60 to the bakery. She spent $2.95 on cupcakes. How much money does Lisa have left?
Answers
Answer:
2.65
Step-by-step explanation:
5.60-2.95 = the sum of the money left.
See the figure below. Which graph is the most appropriate to describe the height over time of a helium ballon that was accidentally let go and later burst?
Answers
Answer:
D
Step-by-step explanation:
We expect the height of a helium balloon to be increasing, up to the point where it bursts.
The only graph that shows consistently increasing altitude with a final drop is graph D.
_____
Additional comment
The graph of D shows the altitude increases at an increasing rate. The buoyancy force decreases with altitude, so we expect the balloon would actually have a decreasing rate of altitude increase. The actual curve would likely be concave downward.
Answer:
Okay...................
Number Sense George is thinking of a number less than 10 that has an odd product when multiplied by 5. What could George's number be?
Answers
Explanation: 3x5=15 and 3 is less than 10
Please help me I really need it
Answers
Answer: 170
Step-by-step explanation: Like I answered before: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.
Answer:
<CDA = 170⁰
Step-by-step explanation:
<A + <D = 180⁰ { Adjacent Angles of an parallelogram are supplementary}
10⁰ + <D = 180⁰
<D = 180⁰ - 10⁰ = 170⁰
<D = x⁰ = 170⁰ = <CDA
Quickly before the timer runs out
Answers
Answer:
47°
Step-by-step explanation:
sum of angles in triangle=180
x + 90 + 43 = 180
x = 180 - 90 - 43
= 47
Hope it helps:)
If f(x) = 10x^3-37x^2+15x+18 and x-3 is a factor of f(x), then find all of the zeros of f(x) algebraiclly.
Answers
Answer:
x=6/5 and x=-(1/2)
Step-by-step explanation:
[tex]f(x) = 10x^3-37x^2+15x+18\\f(x) = \frac{(5x-6)(2x+1)(x-3)}{(x-3)}\\ f(x) = (5x-6)(2x+1)[/tex]
To find the zeros, we set f(x) = 0 for both factors
[tex]5x-6=0\\5x=6\\x=6/5[/tex]
[tex]2x+1=0\\2x=-1\\x=-1/2[/tex]
Therefore the zero's of f(x) are x = 6/5 and x= -(1/2)
