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please help asap, will give brainliest
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Answer:
(i) The axis of symmetry is [tex]x = -4[/tex].
(ii) The axis of symmetry is [tex]x = 4[/tex].
(iii) The axis of symmetry is [tex]x = 1[/tex].
Step-by-step explanation:
We proceed to explain how we determine the expression for the axis of symmetry for each case:
(i) [tex]f(x) = 3\cdot (x+4)^{2}+1[/tex]
The expression depicts a vertical parabola, meaning that axis of symmetry is vertical, that is, a function of the form [tex]x = a,\,\forall\,a\in \mathbb{R}[/tex]. This line passes through the vertex of the parabola. The component [tex]x+4[/tex] contains the information of the horizontal component of the vertex, where the axis passes through. Therefore, the axis of symmetry is [tex]x = -4[/tex].
(ii) [tex]f(x) = 2\cdot x^{2} -16\cdot x +15[/tex]
At first we complete the square and factor the perfect square trinomial:
[tex]f(x) = 2\cdot \left(x^{2}-8\cdot x +\frac{15}{2} \right)[/tex]
[tex]f(x) = 2\cdot \left[(x^{2}-8\cdot x +16) +\frac{15}{2}-16 \right][/tex]
[tex]f(x) = 2\cdot (x-4)^{2}-17[/tex]
By applying the approach used in (i), we find that the axis of symmetry is [tex]x = 4[/tex].
(iii) First, we locate the vertex of the parabola, which is (1,-3). The first component of the ordered pair contains all the needed information to determine the equation of the axis of symmetry, which is [tex]x = 1[/tex].
If your driving 60miles an hour and you drive for 1hour how far do you travel?
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Answer:
60 miles
Step-by-step explanation:
1 hour=60 miles
1 hour=60 miles
The given information in this problem gives us: the speed of r = 60 mi/hr traveled over a distance of 1 mile. We need to find how much time, t, it took to travel a distance d of 1 mile at a speed r = 60 mi/hr, that is:
d/r = t or
t = d/r
Substituting the known values for d and r into the above equation, we have:
t = 1 mi./(60 mi/hr)
t = (1/60) hr.
t = (1/60) hr. (1)
t = (1/60) hr. (60 min./1 hr.)
t = (1/60)(60/1) min.
t = 1 minute ( or 60 seconds) to travel 1 mile at a speed of 60 miles per hour.
$ 900 in a saving account earns 15% interest, compounded annually. What is the balance after 6 years?
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I used to do these but I forgot
help please! factoring polynomials
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Answer:
B
Step-by-step explanation:
you can use foil and the graph,
because you can see (in the graph) that the lines intersect at 1 and 4.
just use foil to help figure out which matches the slope.
something else (the normal way) is find which 2 numbers equal to the last coefficient, in this case it can be
-2 and -2, 2 and 2, 4 and 1 or -4 and -1, multiply them and if they make up the last coefficient, and added it equals the second coefficient it is correct.
..................................
For 15 points, answer this simple question
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If one tenement on the Lower East Side of New York had 101 adults and 91 children, and there was an average of 8 persons in a tenement apartment, how many apartments did this tenement have?
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Answer:
24 Apartments
Step-by-step explanation:
To get the total amount of people living in the apartment building, you add 101 and 92.
101+91=192 total people
You then divide this total by the amount of people staying in each apartment, which is 8.
192/8=24 apartments
This leaves you with 24 apartments, with 8 people living in each one.
Can someone solve 7x+2x+3
step by step
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Answer:
9x+3
Step-by-step explanation:
first you add common variables like 7x plus 2x and get 9x. since 3 does't have a common variable it is just 3 therefor you answer would be 9x+3
Starting : 7x+2x+3
combine like terms 7x+2x=9x
youre left with 9x+3
In triangle XYZ right angled at Y. Find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.
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Answer:
6.5 cm
Step-by-step explanation:
From Pythagoras theorem
C^2= a^2 + b^2
Where a, b are the sides of the triangle
C= hypotenus sides of the triangle
two sides are given as 1.6 cm and 6.3cm respectively.
C^2= 1.6^2 + 6.3^2
C^2= 2.56 + 39.69
C^2 = 42.25
C= √42.25
C=6.5 cm
Hence, the length of the hypotenuse is 6.5 cm
The members of the Pedal Pushers Bicycle Club have traveled 134.8 miles of a 200-mile trip. How many more miles do they have to go?
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Answer:
65.2
Step-by-step explanation:
200-134.8=65.2
solve for slope y intercept and the equation please
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Answer:
y=x-5 slope=1 y-intercept=-5
Step-by-step explanation:
1. Round 543,829 to the nearest hundred
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Answer:
543,800
Step-by-step explanation:
You have to look to the right of the hundreds place. If its 4 or below, go down if its 5 or up, the number goes up. Hope this helps! :D
Which of the following is a solution to the equation y=-1/4x+8 and please explain the steps.
A. (10, -8) C. (-4, 9) B. (4, 8 )D. (-8, -10)
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Answer:
Answer: A. (10,-8)
Step-by-step explanation:
Y=10
X=-8
Step1. Replace the equation with the given numbers
Step2. 10=-1/4•-8+8
Step3. -1/4=-0.25
Step4. -0.25•8=2
Step5. 2+8=10
And that is how you get A.(10,-8)✌
The solution to the equation y=-1/4x+8 is (4, 8).
Thus, option (B) is correct.
Given Equation: y=-1/4x+8
A. (10, -8)
Substitute x = 10 and y = -8 into the equation:
-8 = (-1/4)(10) + 8
-8 = -2.5 + 8
-8 ≠ 5.5
B. (4, 8)
Substitute x = 4 and y = 8 into the equation:
8 = (-1/4)(4) + 8
8 = -1 + 8
8 = 8
C. (-4, 9)
Substitute x = -4 and y = 9 into the equation:
9 = (-1/4)(-4) + 8
9 = 1 + 8
9 = 9
D. (-8, -10)
Substitute x = -8 and y = -10 into the equation:
-10 = (-1/4)(-8) + 8
-10 = 2 + 8
-10 ≠ 10
Now, (4, 8) is the only point that satisfies the equation y = -1/4x + 8.
Therefore, (4, 8) is the solution to the equation.
Thus, option (B) is correct.
Learn more about Equation here:
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The range is the set of?
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Answer:
I think you forgot to attach the file...
Step-by-step explanation:
Answer:
difference between the lowest and highest values.
need help dont know which one to chose
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Answer:
the answer to this problem is A
1. Write the following expression with 1 base and 1 exponent. (4^6)2
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Final answer: 2^13
You have the base which is 2 and the exponent which is 13.
50 POINTS WILL MARK BRAINLIEST NEED ANSWER ASAP
How would the graph of f(x) = −3(x + 2)2 − 5 be affected if the function was changed tof(x) = 1/2(x − 2)2 − 5? Select ALL that apply.
Question 5 options:
It would change from opening up to opening down.
It would change from opening down to opening up.
It would shift four units to the right.
It would shift four units to the left.
It would shift four units up.
It would shift four units down.
It would become wider.
It would become narrower.
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Answer:
Don't understand..........
Answer:
This is your answer. Good luck and I hope I've helped! :)
15/2 × 56L Tell the answer fast it's urgent.
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Answer:
420 is the answer
Step-by-step explanation:
15/2 * 56L =
l = 15/2 = 7.5
7.5 * 56 = 420
Answer:
420
Step-by-step explanation:
Attached below
Tony has a bag containing five balls: one red, one blue, one
green, one orange, and one yellow. All balls are equally
likely to be chosen. Tony will choose one ball without
looking in the bag.
What is the probability that Tony will choose the orange ball out of the bag?
PLSS HELP ME :c
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Answer:
20 percent
Step-by-step explanation:
100(%) (all 5 balls) ÷ 5 = 20(%)
Answer:
i think it is [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
well they are five balls so and theres only one orange so.. i think [tex]\frac{1}{6}[/tex]
How many feet are in 154 centimeters
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Step-by-step explanation:
154 centimeters =
5.05249344 feet (5 feet ⅝ inch)
The image of the point (-2, 2) under a translation is (-3, 5). Find the coordinates of the image of the point (-3, 1) under the same translation.
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(-3, 1) would become (-4, 4)
A bakery sold a total of 200 cupcakes in a day, and 86% of them were mocha flavored. How many of the cupcakes sold that day were mocha flavored?
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Answer:
172
Step-by-step explanation:
200 x 0.86 = 172
172 cupcakes sold were of mocha flavoured.
What is Percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a bakery sold a total of 200 cupcakes in a day, and 86% of them were mocha flavoured.
Let the number of mocha cupcakes sold are x,
Therefore, 86% of 200 = x
x = 200*86/100
x = 2*86
x = 172
Hence, the number of mocha cupcakes sold were 172.
For references on Percentage, click;
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Find the area of this circle . Use 3 for pi
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Answer:
588
Step-by-step explanation:
3 x 14 x 14 ( or 14^2) is 588
hope this helped!!
Write the next three terms of the geometric sequence.
16,8,4,2
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1,1/2,1/4
Step-by-step explanation:
Was
i need help asap please
Answers
9514 1404 393
Answer:
sin(M) = √7/4
cos(M) = 3/4
tan(M) = √7/3
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships of interest.
Sin = Opposite/Hypotenuse
sin(M) = (2√7)/8 = √7/4
Cos = Adjacent/Hypotenuse
cos(M) = 6/8 = 3/4
Tan = Opposite/Adjacent
tan(M) = (2√7)/6 = √7/3
What is the surface area of a rectangular prism with a length of 3 cm, a width of 10 cm and a height of 4 cm?
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Answer:
120!
Step-by-step explanation:
3x10x4= (3x10)x4= 30x4=120
The surface area of a rectangular prism will be 164 square centimeters.
What is the surface area of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as
SA = 2(LW + WH + HL)
The dimension of the rectangular prism with a length of 3 cm, a width of 10 cm, and a height of 4 cm. Then the surface area of the rectangular prism is calculated as,
SA = 2(3 x 10 + 10 x 4 + 4 x 3)
Simplify the equation, then we have
SA = 2(30 + 40 + 12)
SA = 2 x 82
SA = 164 square cm
The surface area of a rectangular prism will be 164 square centimeters.
More about the surface area of the rectangular prism link is given below.
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what is x and y? help fast!!!!!!!
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Answer:
0
Step-by-step explanation:
x and y are variables
Therefore;
S = 4/5
T = 1/5
20 yd / 4 = 5 yd
10 yd / 4 = 2.5 yd
x = 5 yd
y = 2.5 yd
ethod
Which equivalent four-term polynomial can be created
using the X method?
O 2 + 8x + 8x + 48
O2- 12x - 4x +48
O x2 + 12x + 4x + 48
O x2 - 8x – 8x + 48
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Answer: The answer is C
Step-by-step explanation: Just took the test on E D G E and it was C
help me with this please I'll give branliest
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Answer:complete next question:fragment
Step-by-step explanation:
complete
fragment
yeah that is all i got
the area of a rectangular room is 150m.if its breadth is 10cm.then find its length
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150cm = L x 10cm
150cm =10L divide both of them by 10
L = 15cm
TRANSLATIONS on the coordinate plane plz help me
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here use this bud figure it it out