Answer:
1. First, add 64 to bith sides, cancelling one out and taking it to the other side, then dividing by two, giving you x=32.
2. Subtract 2x and take it to the other sude of the equation. Then divide -2 by -64, giving you x=32, due to the negative cancelling (turning to a positive).
Function f approximately represents the trajectory of an airplane in an air show, where x is the horizontal distance of the flight, in kilometers. What is the symmetry of the function?
Answer:
[tex](\frac{3}{2},102)[/tex]
Step-by-step explanation:
Given
[tex]f(x)=88x^2-264x+300[/tex] --- Missing from the question
Required
The symmetry
First, we express f(x) as: [tex]f(x) = a(x - h)^2 + k[/tex]
Where the symmetry is: (h, y) and x = h
Equate f(x) to 0
[tex]88x^2-264x+300 = 0[/tex]
Subtract 300 from both sides
[tex]88x^2-264x+300 - 300= 0 - 300[/tex]
[tex]88x^2 - 264x= - 300[/tex]
Factorize
[tex]88(x^2 - 3x) = -300[/tex]
On the left-hand side, the coefficient of x is -3.
Divide by 2 and add the square to both sides.
So, we have:
[tex]88(x^2 - 3x) + (\frac{3}{2})^2 = -300 + (\frac{3}{2})^2[/tex]
Multiply the new terms by 88 (to make it factorizable)
[tex]88(x^2 - 3x ) +88* (\frac{3}{2})^2 = -300 + 88 * (\frac{3}{2})^2[/tex]
Factorize
[tex]88(x^2 - 3x + (\frac{3}{2})^2) = -300 + 88 * (\frac{3}{2})^2[/tex]
The quadratic expression in the bracket is a perfect square. This gives:
[tex]88(x - \frac{3}{2})^2 = -300 + 88 * (\frac{3}{2})^2[/tex]
[tex]88(x - \frac{3}{2})^2 = -300 + 88 * \frac{9}{4}[/tex]
[tex]88(x - \frac{3}{2})^2 = -300 + 22 * 9[/tex]
[tex]88(x - \frac{3}{2})^2 = -102[/tex]
Add 102 to both sides
[tex]88(x - \frac{3}{2})^2 +102= -102 + 102[/tex]
[tex]88(x - \frac{3}{2})^2 +102= 0[/tex]
Equate to y
[tex]y = 88(x - \frac{3}{2})^2 +102[/tex]
Recall that:
The symmetry is: (h, y)
By comparison with [tex]f(x) = a(x - h)^2 + k[/tex] and x = h
[tex]h = \frac{3}{2}[/tex]
So: [tex]x = \frac{3}{2}[/tex]
Substitute [tex]x = \frac{3}{2}[/tex] in [tex]y = 88(x - \frac{3}{2})^2 +102[/tex]
[tex]y = 88(\frac{3}{2} - \frac{3}{2})^2 +102[/tex]
[tex]y = 88(0)^2 +102[/tex]
[tex]y = 0 +102[/tex]
[tex]y = 102[/tex]
So, the symmetry is: [tex](\frac{3}{2},102)[/tex]
Please help an explain work
I think it’s c?
Answer:
B. f(x) = -x + 2
Step-by-step explanation:
First, you find the point on the y-axis which is (0,2) in this problem.
This will be your b in y = mx+ b
Then, you'll find how many blocks you are moving or rise over run. Which is -1/1 or -1.
This will be your m in y = mx + b
But we don't write the 1 so it will just be -x
Now add all your numbers in the standered form (y = mx + b) to get y = -x + 2 or f(x) = -x + 2
ILL MARK BRAINIEST IF YOU DO THIS!!!
Valerie is sliding down a waterslide at a vertical rate of -5 m/s after 1 second she is 25 m from the bottom of the slide. Write this situation in point slope form: m(x-x1)=(y-y1)
Answer:
15
Step-by-step explanation:
becasue the slope is very harddddd
Tyrone's bedroom is 4.75 meters long. How many centimeters long is
Tyrone's bedroom?
Note: 1 meter = 100 centimeters
0,475
47,5
475
4,750
Answer:
4.75*100=475
Step-by-step explanation:
Answer: The answer is 475 cm long.
Step-by-step explanation:
Since his bedroom is 4.75 meters long, it would be 475 cm.
Algebra 1 homework
Hellpppp
Thanks
Please Help and thank you!!!
Answer:
volume
Step-by-step explanation:
volume = lxwxh
help its for a friend
1) Which of the following is true about circles
2 radius's for a circle is equal to it's diameter
1 diameter of a circle is equal to it's circumference
pi is a ratio of the distance around a circle to the distance across a circle
Circumference is distance across a circle
Circumference for a circle is found by multiplying pi by diameter
Circumference and Area of a circle are the same thing
THERE CAN BE MORE THAN ONE PLS HELP PLS PLS I REALLY NEED HELP
Answer:
Yes
No
Yes
No
Yes
No
y- 4/5=1
what does y equal to?
Answer:
y=1.8
Step-by-step explanation:
first change the fraction into a decimal.
4/5 =0.8
plus the 0.8 to both sides
y=1.8
Answer:
[tex]y - \frac{4}{5} + \frac{4}{5} = 1 + \frac{4}{5} \\ y = \frac{5 + 4}{5 } \\ y = \frac{9}{5} [/tex]
What are the last two ?
Answer:
uhm
Step-by-step explanation:
Oceanside bike rental shop charges seventeen dollars plus seven dollars an hour for renting a bike. Jason paid eighty dollars to rent a bike. How many hours did he have to pay to have the bike checked out?
Answer:This is a linear equation.
y = mx+b
y is the total cost.
The slope m is the rate: that's 9 dollars per hour.
x is the number of hours.
b is the initial value: that's 16 dollars.
y = 9x+16
The problem states that the cost was 79 dollars.
Substitute that for y and solve for x.
79 = 9x+16
63 = 9x
x = 7 hour
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
80-17=63
63/7 = 9
7 times 9 = 63
Need help ASAP will give brainliest to best answer
What did you need help with
Answer:
what's the question though?
Step-by-step explanation:
Help me out pls ASAP
Answer:
C
Step-by-step explanation:
Compare lengths. Write >, <, or = .
44 yd 1 ft and 137 ft 8 in.
Answer:
<
Step-by-step explanation:
Please Help! Will Mark brainliest!
1. Write in interval notation: 2|3-4x|+5>4
2. Write in set builder notation: |2-3x|=|x-3|
Answer:
See bolded below
Step-by-step explanation:
1. First solve the inequality:
2|3-4x|+5>4 [subtract 5 from both sides]
2|3-4x| > - 1 [divide both sides by 2]
|3-4x| > - 1/2
Since all absolute values are always greater than or equal to 0, the solution would be: All Solutions. Respectively in interval notation we have (- ∞, ∞)
2. Start by solving the equation:
|2-3x|=|x-3|,
2-3x = x-3, 2-3x = -(x - 3)
x = 1.25, x = -0.5
In set builder notation: { x | x ∈ {1.25, -0.5} }
Find the area of a triangle with a base of 14 ft and a
height of 11 ft. A = bh/2)
Answer:
77
Step-by-step explanation:
Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary
Answer:
Step-by-step explanation:
Mrs. Carver wants to add wall–to–wall tile to the science lab. If she plots the layout of the science lab on a graph with the vertices A(–7, 8), B(3, 8), C(3, –2), and D(–7, –2), what is the area of the science lab?
Answer:
o dpB
Step-by-step explanation:
Can someone tell me about proportions??? PLEASE I NEED HELP ASAP
Answer: A ratio is one thing or value compared with or related to another thing or value; it is just a statement or an expression, and can only perhaps be simplified or reduced. On the other hand, a proportion is two ratios which have been set equal to each other; a proportion is an equation that can be solved.
Step-by-step explanation: looked it upp
Help! What type of model does the data suggest? Also please show the process on how you got the answer... she wants us to show work smh
This is hard and I need help
Brooke multiplied 3 and 9 and got 17 Brooke knows her answer is wrong because she know it should be approximately
Answer:
Kindly check explanation
Step-by-step explanation:
If Brooke multiplied 3 by 9 and obtained 17 ; then Brooke is definitely wrong
3 * 9 = exactly 27
However, for approximation sake ;
We could round 9 to 10 ; and multiply 10 by 3
10 * 3 = 30 ; this gives an approximate solution for the multiplication problem ;
3 * 9 = exactly 27 or approximately 30
A coin is flipped 18 times. Three of the times the coin landed on heads and the rest of the times tails. What is the difference between the THEORETICAL and EXPERIMENTAL probability of landing on heads? *
Answer:
the experimental probability is based on the results of the experiment which yielded heads 1 out of 6 times; in theory, the results of flipping a coin and landing on heads would be 1 out of 2
Step-by-step explanation:
Help me please find the answer
A dessert recipe calls for 6 cups of cereal for every 4 cups of marshmallows. If a baker makes a 25 cup batch of treats using the proportions of the recipe which statement is true
Answer:
wheres the statements...?
Step-by-step explanation:
EXTRA POINTS---Set up an equation and find the value of x.
Answer:
10)
180-3x =x (corresponding angles are equal)
x=45°
11)180-5x=3x ( same reason)
x=10°
12)180-6x=3x(same reason)
x=20°
Answer: See explanation
Step-by-step explanation:
10) Same side interior angles add up to 180°
3x + x = 180
4x = 180
x = 45
11) Same side interior angles add up to 180°
5x + 3x = 180
8x = 180
x = 22.5
12) 6x is vertical to an angle that has a relationship with 3x (same side interior angles) which means 6x and 3x have to add up to 180° as well
6x + 3x = 180
9x = 180
x = 20
What is the product?
(y^2=3y+7)(8y^2+y+1)
Answer: y = -2.29034486
Step-by-step explanation: brainliest?
Answer:
What is the product?
(y^2=3y+7)(8y^2+y+1)
Step-by-step explanation:
nnn
Find the slope of the line given the graph. Write your answer in the format m-#.
Answer:
It has a slope of 0
m-0
Step-by-step explanation:
can someone help me please?
Answer:
500000
Step-by-step explanation:
We need to find the value of the given expression :
[tex]5^{\dfrac{5}{2}}\times 20^{\dfrac{3}{2}}\div 10^{-2}[/tex]
We can do it as per BODMAS rule.
[tex]5^{\dfrac{5}{2}}\times (\dfrac{20^{\dfrac{3}{2}}}{10^{-2}})\\\\=5^{\dfrac{5}{2}}\times {20^{\dfrac{3}{2}}}\times {10^{2}}\\\\=5^{\dfrac{5}{2}}\times {20^{\dfrac{3}{2}}}\times 100\\\\=5^{\dfrac{5}{2}}\times {(5\times 4)^{\dfrac{3}{2}}}\times 100\\\\=5^{\dfrac{5}{2}}\times {(5^{\dfrac{3}{2}})\times (4)^{\dfrac{3}{2}}}\times 100\\\\=5^{(\dfrac{5}{2}+\dfrac{3}{2})}\times 2^2^{\dfrac{3}{2}}\times 100\\\\=5^4\times 2^3\times 100\\\\=625\times 8\times 100\\\\=500000[/tex]
So, the required answer is 500000.
find the product (8x+2)(7x+4)
Answer:
It's in the doc below
Step-by-step explanation:
Hope it helps
Answer:
56x+32x+14x+8
Step-by-step explanation:
8x*7x=56x
8x*4=32x
2*7x=14x
2*4=8
Rewrite the formula for the circumference of a circle, C=2πr, in terms of its diameter, d
there is an input box that has d=_______
Answer: D=Pie x C
Step-by-step explanation:
trust me and plz make me the brillienrttest