Answer:
f(x) = -2 (x - 3)² + 6Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
so the equation of parabola with the vertex (3, 6) is
f(x) = a(x - 3)² + 6
passes through the point (4, 4) means: if x=4 then f(x)=4
4 = a(4 - 3)² + 6
4 -6 = a(1)² + 6 -6
-2 = a
Therefore the equation of parabla is:
f(x) = -2 (x - 3)² + 6
The vertex of a parabola is the maximum or the minimum point on the parabola.
The equation of the parabola is: [tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
The given parameters are:
[tex]\mathbf{Point = (x,y) =(4,4)}[/tex]
[tex]\mathbf{Vertex = (h,k) =(3,6)}[/tex]
The equation of parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
Substitute values for x, y, h and k
[tex]\mathbf{4 = a(4 - 3)^2 + 6}[/tex]
[tex]\mathbf{4 = a(1)^2 + 6}[/tex]
[tex]\mathbf{4 = a + 6}[/tex]
Subtract 6 from both sides
[tex]\mathbf{a = -2}[/tex]
Substitute values for h, k and a in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
Hence, the equation of the parabola is:
[tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
Read more about parabolas at:
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What is 602,000,000 written in scientific notation
Answer:
6.02x10^8
Step-by-step explanation:
Write a system of equations with the solution of (4,2,0)
Answer:
x=4, y=2, z=0
Step-by-step explanation:
The most symple is x=4, y=2, z=0 b/c the coordinate pairs equate to (x, y, z,)
name the line of intersection of planes of GABH and FEHG
Answer: line HG
Step-by-step explanation:
The line which is intersecting the planes of GABH and FEHG will be line GH.
What is a geometrical figure?A collection of continuous, non-empty points that together form inextensible, non-deformable shapes are known as geometric figures.
A figure or region with a defined border that is formed by combining a specific number of curves, points, and lines is referred to as a geometric shape.
Another meaning of the geometrical figure is the figure which is in 2D and becomes by intersections of lines.
Given two plans GABH and FEHG
It is clearly visible that both plans are intersecting and separated by a line GH.
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what is this !?help please!
it takes 50 pennies to fill a roll. and how many are in 8 rolls
Answer:
250 pennies
Step-by-step explanation:
50 x 8 = 250
Wright a paragraph to prove that the measure of angle 1 is equal to the measure of angle 3?
Please help ASAP!!!!!!!!!!!
Answer:
5 and 4
Step-by-step explanation:
(GIVING BRAINLIEST) During a snowstorm the temperature drops from 0 F to - 7 in 7 hours on average by how many degrees is the temperature changing per hour
Answer: A. 1*F
Step-by-step explanation:A-P-E-X
Miguel's cat, Chester, weighs 6.8 pounds. Chester's vet tells Miguel to feed the cat 3 4 of an ounce of canned food daily for each pound of body weight. The next morning, Miguel opens a new can of food to feed Chester. If the can holds 5.5 ounces, how much food will be left after one day? Write your answer as a whole number, decimal, fraction, or mixed number. Simplify any fractions.
Answer:
0.4 ounces
Step-by-step explanation:
In a day
Miguel is to feed Chester ,
Chester can eat 3/4 of an ounce for each pound of body weight.
Chester weighs 6.8 pounds
Hence:
1 pound = 3/4 ounce
6.8 pounds = x ounces
Cross Multiply
x = 6.8 × (3/4) ounces
x = 5.1 ounces
Chester is to be fed 5.1 ounces of food each day.
The amount of food left after 1 day
= 5.5 ounces - 5.1 ounces
= 0.4 ounces
Hence, 0.4 ounces of food is left after 1 day
What is the sum of the integers between the square root of 30 and the square root of 90
Answer:
[tex]\sqrt{30}+ 3\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{90}=\sqrt{9}*\sqrt{10} =3\sqrt{10} \\\\\\\sqrt{30}+ 3\sqrt{10}[/tex]
In which situation below would you want to use the Explicit Formula instead of the Recursive Formula?
A. Find the 4th term when the first term is 7 and the common difference is -2.
B.Find the 7th term when the first term is -1 and the common difference is 10.
C.Find the 106th term when the first term is 2 and the common difference is 5.
D.Find the 11th term when the first term is -3 and the common difference is 4.
9514 1404 393
Answer:
all of them, possibly excepting the 4th term
Step-by-step explanation:
The recursive formula is good if you have terms near the one of interest. It might be used for the 4th term, but that would require that you compute the three previous terms:
7, 5, 3, 1 . . . . requires 3 subtractions
It can be about as easy to calculate ...
a4 = 7 -2(3) = 1 . . . . requires two* subtractions and a multiplication
__
However, for the 7th, 11th, and 106th terms, it is impractical to list all previous terms. The explicit formula is a better choice.
A. a4 = 7 -2(3) = 1
B. a7 = -1 +10(6) = 59
C. a106 = 2 +5(105) = 527
D. a11 = -3 +4(10) = 37
_____
* The explicit formula is ...
an = a1 +d(n -1)
The operations identified in this formula (in the order required by the Order of Operations) are subtraction, multiplication, and addition. For a negative common difference, that amounts to two subtractions and a multiplication.
For manual evaluation, the work involved in using the recursive or explicit formulas for the 4th term is about the same, if the arithmetic is easily done mentally (as here).
Wednesday morning, the temperature was −12 ∘F. By the afternoon, the temperature was 23 ∘F. Write and then evaluate a subtraction expression to determine the number of degrees of change in temperature between the morning and the afternoon
Answer:
-12-(-23)
Step-by-step explanation:
2 subtraction signs will turn into addition
40 pages read in 20 minutes. what is the unit rate?
Answer:
2 pages per minute.
Step-by-step explanation:
40 pages / 20 minutes
= 40 / 20 = 4 / 2 = 2
Therefore, you read 2 pages per minute.
The other options are “both” or “neither”
Answer:
Step-by-step explanation:
ΔABC ~ ΔWXY
The mean absolute deviation tells you how spread out or how clustered around the mean a set of data is. This is the variation in the data. To compare sets, a higher mean absolute deviation indicates that the data points are more spread out from the mean. A lower mean absolute deviation indicates dat
Answer:
data points or values are nearer to the mean
Step-by-step explanation:
Given that mean absolute deviation tells you how to spread out or how clustered around the mean a set of data is.
Hence, in a comparison of sets, a higher mean absolute deviation indicates that the data points are more spread out from the mean.
On the other hand, a lower mean absolute deviation indicates that the data points are nearer to the mean than a data set with a higher mean absolute deviation
Answer:
hes right ↑
Step-by-step explanation:
Shaq invested $900 into a savings account that pays annual simple interest. At the end of 9 years, he earned $461.70 in interest. What is the interest rate on the savings account? Round to the nearest tenth of a percent.
Answer:
0.051
Step-by-step explanation:
What is the value of the expression below?
3.5 x 3 over 10
Answer:
1.05 or 21/20 or 1 1/20
Step-by-step explanation:
I'm just a genius
Is this correct if not what’s the answer
Answer:
They are congruent by SSS.
Step-by-step explanation:
9514 1404 393
Answer:
≅reflexiveQRcongruentStep-by-step explanation:
A geometrical object is congruent to itself by the reflexive property of congruence.
RT ≅ RT by the reflexive property
__
Your other choices are correct.
Solve for C. Show all work please.
C= 5/9 ( F - 32)
Answer:
Step-by-step explanation:
It is solved for C unless you C = 5/9 * F - 32*5/9
C = 5/9F - 17.8
=================
If you mean F, then Multiply both sides by 9/5
9/5 * C = F - 32
9/5 * C + 32 = F
=====================
A quick way to do this is to multiply by 2 and add 32
F = 2*C + 30
My wife, an American, always had to do this when she heard the daily temperatures in Canada.
first multiply both sides by 9/5 to get:
9/5C= F -32
Add 32 to both sides and transpose to get:
F=9/5C + 32
these are the formulas to translate between Fahrenheit and Celsius temperatures
Fahrenheit and Celsius meet at - 40 degrees
that is - 40 Fahrenheit = - 40 Celsius
So alternitive formulas for the conversations can be written:
F=9/5 (C+40) - 40
C=5/9 (F+40) - 40
A Boeing 737 airplane travels about 500 miles per hour. The function d(t) = 500t represents the number
miles traveled in t hours. How far does the plane travel in 3.5 hours?
A. O 2,579.50 miles
B. 1,500.00 miles
C. 142.86 miles
D. 1,750.00 miles
Answer:
b
Step-by-step explanation:
The distance is 1,750.0 miles if a Boeing 737 airplane travels about 500 miles per hour option (D) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function d(t) = 500t represents the number of miles traveled in t hours.
Plug t = 3.5 hours in the equation of the function.
d(3.5) = 500(3.5)
d(3.5) = 1,750.0 miles
Thus, the distance is 1,750.0 miles if a Boeing 737 airplane travels about 500 miles per hour option (D) is correct.
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Line A: y = 1 2 x + 2 Line B: y = − 1 2 x + 7 Line C: y = −2x + 4 Line D: y = 1 2 x + 5 4 Which lines are perpendicular? A) A and B B) A and C C) B and C D) A and D
Answer:
Check the explanation.
Step-by-step explanation:
The slope-intercept form of the equation is
[tex]y=mx + b[/tex]
where m is the slopeb is the y-interceptLine A:
[tex]y = 1 2 x + 2[/tex]
The slope of line A:
[tex]m_A=12[/tex] ∵ comparing with [tex]y=mx + b[/tex]
Line B:
[tex]y = -1 2 x + 7[/tex]
[tex]m_B=-12[/tex] ∵ comparing with [tex]y=mx + b[/tex]
Line C:
[tex]y = -2x + 4[/tex]
[tex]m_C=-2[/tex] ∵ comparing with [tex]y=mx + b[/tex]
Line D:
[tex]y = 12x + 5 4[/tex]
[tex]m_D=12[/tex] ∵ comparing with [tex]y=mx + b[/tex]
As we know that the product of the slopes of perpendicular lines is -1.
i.e. their slopes are opposite of the reciprocal of each other.
Now, let us check the OPTIONS:
Option A) A and B
Check:
[tex]m_A=12[/tex]
[tex]m_B=-12[/tex]
As the product of the slopes A and B is NOT -1, so the lines A and B are not perpendicular. Hence, option A is NOT true.
Option B) A and C
[tex]m_A=12[/tex]
[tex]m_C=-2[/tex]
As the product of the slopes A and C is NOT -1, so the lines A and C are not perpendicular. Hence, option B is NOT true.
Option C) B and C
[tex]m_B=-12[/tex]
[tex]m_C=-2[/tex]
As the product of the slopes B and C is NOT -1, so the lines B and C are not perpendicular. Hence, option C is NOT true.
Option D) A and D
[tex]m_A=12[/tex]
[tex]m_D=12[/tex]
As the product of the slopes A and D is NOT -1, so the lines A and D are not perpendicular. Hence, option D is NOT true.
Therefore, NO OPTION is correct.
plz help me or i will literly start cying cuz i dont rly understand
Answer: Its very simple to solve slopes
Step-by-step explanation:
All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.
Find the unit rate.
297 words in 5.5 minutes
The unit rate is
words per minute.
yo please do it right. ill mark brainliest only if its correct
Answer:
Unit rate is 54 words per minute
Step-by-step explanation:
297 / 5.5
297 ÷ 5.5 = 54
Courtney is twice as old as Andre and three years older than Natalie. Courtney is half Shari's age. The difference between Shari's age and Natalie's age is the same as the sum of Courtney's age and Andre's age. The equation below represents their ages.
The question does not seem complete, but I'll represent the statement mathematically and look for their ages each. This is because the worst they can ask for is their ages.
Let C stand for Courtney's age, A for Andrei's age, N for Natalie's age and S for Shari's age. From the question we can deduce the following:
C = 2A
C = N + 3
C = S/2
S - N = C + A
S = 2C, N = C - 3 and A = C/2, therefore we have
2C - (C - 3) = C + C/2
C + 3 = C + C/2
C/2 = 3 and C = 6
A = C/2
A= 6/2
A = 3
N = C - 3
N = 6 - 3
N = 3
S = 2C
S = 2 x 6
S = 12.
C = 6, A = 3, N = 3 and S = 12
does a vertical line have zero slope?
Answer:
he slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Step-by-step explanation:
Answer: yes it’s undefined
Step-by-step explanation:
If (m+n)^2=m^2+n^2, what is (3^m)^n?
Answer:
[tex](3^m)^n=1[/tex]
Step-by-step explanation:
[tex](m+n)^2=m^2+n^2\\m^2+2mn+n^2=m^2+n^2\\(m^2+n^2)-(m^2+n^2)+2mn=0\\2mn=0\\This\ equation\ has\ two\ solutions\ : m=0,n=0\\\\But\ either\ way\ will\ result\ in\ the\ same\ answer.\\If\ m=0\ then,\\(3^0)^n\\=1^n\\=1\\\\If\ n=0 \ then,\\(3^m)^0\\=1[/tex]
He prime factorization of a number is 2 cubed times 3 squared times 5. Which is a true statement about the factors of the number? Fifteen is a factor of the number because both 3 and 5 are prime factors. Fifteen is not a factor of the number because 15 is odd and the number is even. Sixteen is a factor for the number because 2 cubed = 8 and 16 is divisible by 8. Sixteen is not a factor of the number because the exponent of 2 is not even.
Answer:
Fifteen is a factor of the number because both 3 and 5 are prime factors.
Step-by-step explanation:
The computation is shown below:
The cube of 2 is
= 2^3
= 8
The square of 3 is
= 3^2
= 9
Now if we multiplied the 3 digits that it would be
= 8 × 9 × 5
= 360
As we know that the 15 is a factor of 360
Therefore the first option is correct
i.e.
Fifteen is a factor of the number because both 3 and 5 are prime factors.
And all the other options are incorrect
Answer:
15 and 35
Step-by-step explanation:
please help me and show work!!!!!!!!!
Answer:
C
pls mark brainliest if possible
Step-by-step explanation:
volume of square pyramid = area of base* 1/3*height of pyramid
v=a(1/3h)
a = area of base = 11*11 = 121
h=height = 15 cm
v=121 (1/3*15)
v = 121*5 = 605 cm^3
the answer is C
(-2g + 7) - (g+11) =
In ΔDEF, the measure of ∠F=90°, ED = 65, DF = 33, and FE = 56. What ratio represents the cosine of ∠D?
Answer:
.51
Step-by-step explanation:
Answer:
33/65
Step-by-step explanation: