Answers
Answer:
a. was incorrect a = -0.109569028 so...
y = -0.109569028(x + 7)² + 54
b. It's been the above vertex equation for a parabola then
set y = 40 equal to the parabolic equation, we get
40 = -0.109569028x² - 1.533966392x + 48.631117628
solve for x we get
x = -18.3036867393939 or ~ 18.3 feet
Step-by-step explanation:
y = a(x - h)² + k
(h, k) = vertex = (-7, 54)
x = h is the axis of symmetry -7
y = a(x -(-7))² + 54
y = a(x + 7)² + 54
solve for a by inputting the point (15.2, 0)
0 = a(15.2 + 7)² + 54
-54 = a(22.2)²
-54 = 492.84a
a = -54/492.84
a = -0.109569028
Related Questions
A diver takes a running leap off of a 40 foot cliff into a pool of water. When she is 5 feet from the cliff,
she reaches a maximum height of 45 feet
Let H(x) represent a parabolic function with the height of the diver above water in terms of her horizontal distance
write a function to graph
Answers
of" (and any subsequent words) was ignored because we limit queries to 32 words.
Which compound inequality can be used to solve the inequality 3x+2>7
Answers
Answer:
3x + 2 < –7 or 3x + 2 > 7
Answer:
D: 3x + 2 < –7 or 3x + 2 > 7.
Step-by-step explanation:
help
i dont understand this.
Answers
Answer:
4
Step-by-step explanation:
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
let's find the slope of the line :
that is :
[tex] \dfrac{y2 - y1}{x2 - x1}[/tex]taking two points (0 , 4) and (2 , -4)
[tex] \dfrac{4 - ( - 4)}{0 - 2} [/tex][tex] \dfrac{8}{ - 2} [/tex][tex] - 4[/tex]Slope (m) of the graph = -4
and y - intercept (c) = 4
therefore, the equation will be :
[tex]y = mx + c[/tex][tex]y = - 4x + 4[/tex]Paul paid $663 for a new freezer. He paid for the freezer with his credit card, which has an interest rate of 15.28% compounded monthly, and made monthly payments for five years until the freezer was paid off. He kept the freezer for seven years, and it used an average of $2.14 of electricity per week. Paul made no other purchases or payments with his credit card until the freezer was paid off. Between the interest and the electricity, which component of the lifetime cost of the freezer was greater, and how much greater was it? (Round all dollar values to the nearest cent.)
a.
The interest cost $106.60 more than the electricity.
b.
The interest cost $173.24 more than the electricity.
c.
The electricity cost $489.76 more than the interest.
d.
The electricity cost $115.96 more than the interest.
Answers
Answer:
c
Step-by-step explanation:
The electricity cost $489.76 more than the interest.
Thus, option C is correct.
What is Interest cost?Interest cost is the total measure of interest a borrower pays on an obligation commitment over the existence of the getting. Interest is paid on the obligation notwithstanding reimbursement of head.
The formula will be:
I = A - P
I = 663(1 + 0.1528/12)^(5*12) - 663
I = 663(1 + 0.1528/12)^60- 663
I = 1416.51 - 663
I = $753.51
The bill for electricity for 7 years and 52 weeks per year will be
= 7 x 52 x 2.14
= $778.96
The electricity cost is bigger than the interest:
$778.96 is bigger than $753.51 by $25.45:
$778.96 - $753.51 = $25.45.
Therefore, option C is correct.
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Evaluate.
(w2x−3)÷10⋅z when w=−4, x = 0.8, and z=−4/5
Enter your answer as a simplified mixed number in the box.
Answers
⅘ ≈ 0,8
Step-by-step explanation:(w2x - 3) ÷ 10 × z
= (-4 × 2 × 0,8) ÷ 10 × -⅘
= (-8 × 0,8) ÷ -8
= -6,4 ÷ -8
= ⅘ ≈ 0,8
Conclusion:Evalute (w2x - 3) ÷ 10 × z is ⅘ ≈ 0,8.
[tex] [/tex]
After using the linear equations method we will get 1.76.
What is linear equations?
An equation is said to be linear if the highest power of a variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the standard form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the standard form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present. A linear equation is one that has a degree of 1 as its highest value. No variable in a linear equation, then, has an exponent greater than 1. A linear equation's graph will always be a straight line.
How to calculate question by adding their values in the given equation?
firstly, the given equation is: [w2x-3]/10z
the things or values which are given to us:
w=-4x=0.8z=-4.5
Now putting all the values in the given equation:
[-4*2*0.8-3]/10*-4.5-9.72/-5.5
[by solving the brackets]1.76 [by solving the equation]
Hence the answer is, 1.76
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your friend is trying to guess how much money you make at your job, so you give them a riddle. You tell your friend that you work 3 hours on Friday and 6 hours on Saturday, And that you also receive an allowance of $20 from your parents.. In total you are $92 every week. What would your friend have to guess your wage is in order to be correct?
Answers
Answer:
$8 an hour
Step-by-step explanation:
1.) 92 - 20 = 72
2.) 3 x 8 = 24
3.) 6 x 8 = 48
4. 24 + 48 = 72
OR
1.) 92 - 20 = 72
2.) 6 + 3 = 9
3.) 72 / 9 = 8
either way to solve gives you the correct answer as shown above. Also if answer is correct please leave ”thanks” heart
janelle earns $9 an hour and works 25 hours per week. 26% of her pay goes towards taxes. she is hoping to buy her first car 8 months from now for $3,200. Write a smart goal for janelle so she will know how much money to set aside each month in order to reach her goal
Answers
Answer
100
Step-by-step explanation:
In the figure below, mZ1=2x° and m2 = (x + 42).
Find the angle measures.
2
m2 1 - 1
Х
$
m2 = 1
Answers
Answer:
[tex]2x + x + 42 = 90\degree \\ 3x = 48 \\ x = \frac{48}{3} = 16 \\ m \angle1 = 2(16) = 32\degree \\ m\angle2 = 16 + 42 = 58\degree \\ or \\ m\angle2 =90 - m\angle1 =90 - 32 = 58 \degree[/tex]
bill and Andy were racing to see who could run the farthest in 5 minutes bill ran 5/8 of a mile and Andy ran 3/4 of a mile how much farther did andy run than bil
Answers
3/4 *2/2=6/8
6/8-5/8=1/8
what's name of H2CO3
Answers
Answer:
carbonic acid
Step-by-step explanation:
this is a compound called carbonic acid
cos 2x + 2 sin^2 x = _______
Answers
1
Step-by-step explanation:
cos 2x + 2 sin²x
= (1 - 2 sin²x) + 2 sin²x
= 1 - 2 sin²x + 2 sin²x
= 1
Please hurry 15 points
Answers
Answer:
pretty sure its A
Step-by-step explanation:
A is the only one with the line going threw -1 and 5
Answer: its A just got done with it
ANSWER QUICK PLEASE!!
Which expression is undefined?
A. (10 - 10) / 10
B. 0 divided by 3/4
C. 3 / (7 - 7)
D. (-5 - 0) / 5
Answers
Answer:
c...........3/(7-7) is the undefined expression
6
Last year, a minor league baseball team
won 75 games. This year the team won
12 fewer games than it won last year.
What is the percent decrease in the
number of games the team won?
F 16%
H 12%
G 20%
J
63%
Answers
Answer:
Step-by-step explanation:
h 12
= 4/25
16% so F
Solve for x. x 2 = 1 3 A) 6 B) 1 6 C) 2 3 D) 3 2
Answers
Answer:
The answer is not given in the options.
Step-by-step explanation:
2x = 13
or, 2x/2 = 13/2 (multiplying with (1/2) in both sides)
or, x = 13/2
or, x = 6.5
determine the domain and range of the function F= {(2,1),(30,-7),(34,1),(54,0)
Answers
Answer:
Domain = 2,30,34,54
Range = 1,-7,1,0
Step-by-step explanation:
Domain = x input
Range = y output
Your function is f(x) = y.
i need help with this
Answers
Answer:
A
Step-by-step explanation:
Which data set has the same standard deviation as the data set {2,2,5,6,8}?
A. {3,4,4,7,7}
B.{5,6,5,6,5}
C.{3,3,6,7,9}
D.{4,4,5,5,5}
Answers
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Find the values of x, y, and z in the triangle to the right
Answers
Answer:
x = 36 , y = 64 , z = 80
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angle.
3x + 8 = x + z
3x - x - z = -8
2x - z = -8 ------------ (I)
z + 3x - 8 = 180 {linear pair}
3x + z = 180 + 8
3x + z = 188 --------------(II)
Add (I) and (II) and z will be eliminated and we can find the value of 'x'
(I) 2x - z = -8
(II) 3x + z = 188 {Now add}
5x = 180
x = 180/5
x = 36
Plugin x = 36 in equation (II)
3*36 +z = 188
108 + z = 188
z = 188- 108
z = 80
x + y + z = 180 ----------------(III) {angle sum property of triangle}
36 + 80 +y = 180
116 + y = 180
y = 180 - 116
y = 64
Help asapppp pleaseeeeeee
Answers
5 and 6 , 5.292
7 and 8 , 7.874
8 and 9 , 8.718
10 and 11 , 10.247
Just need someone to clarify things with me!
As I was solving this equation, I got:
x^-2
-------
x^10
I moved x^-2 down with x^10
So in x^-2's place, I placed a positive 1.
1
----------------------
x^10 times x^-2
The radical rule here is to pretty much subtract ahead. However, this extremely smart person said something like if I move a negative number to the denominator, it becomes positive. However, in this case, x^-2 stays the same.
Anyone explain here??
Answers
Answer:
[tex]\frac{1}{x^{12} }[/tex]
Step-by-step explanation:
Given [tex](\frac{x}{x^{-5}})^{-2}[/tex]
The Negative Exponent Rule states that, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]
Basically, since you're raising the fraction inside the parenthesis to a negative exponent, the whole fraction becomes a denominator of 1: [tex]\frac{1}{(\frac{x}{x^{-5}})^{2}}[/tex]
Then, you'll have to work on the denominator:
[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}}[/tex]
Next, you'll have to work on the divisor of x² (in the denominator), [tex](x^{-5})^{2}[/tex] by using the Power-to-Power Rule of Exponents: [tex](a^{m})^{n} = a^{mn}[/tex], which results in:
[tex](x^{-5})^{2} = x^{-10}[/tex]
Since it is a negative exponent, you'll have to apply the Negative Exponent Rule once again to the denominator.
[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}} = \frac{1}{\frac{x^{2} }{x^{-10}}} = \frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}}[/tex]
At this point, you could apply the Fraction rule onto the denominator: [tex]\frac{a}{\frac{b}{c}} = \frac{a*c}{b}[/tex]
So the denominator now becomes:
[tex]\frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}} = \frac{1}{x^{2}*x^{10} }[/tex]
Finally, you could apply the Product Rule of Exponents, [tex]a^{m}a^{n} = a^{m + n }[/tex] onto the denominator:
[tex]\frac{1}{x^{2}*x^{10} } = \frac{1}{x^{2+10}} = \frac{1}{x^{12} }[/tex]
Therefore, the correct answer is: [tex]\frac{1}{x^{12} }[/tex]
am i right???? Please explain even if I am???
Answers
Similar triangles have the same angle measures, but different side lengths. Generally, similar triangles are proportional.
So, we can say that AB / DE = BC / EC.
16 / DE = 12 / 9
12(DE) = 144
DE = 12
Hope this helps!! :)
i need help with questions 1-10 i dont know how to do financial math and can i see how the work is done please
Answers
Explain how you can use doubles when
multiplying with 4 to find 4 X 8.
Answers
Multiplying by 4 using the doubles strategy utilizes the fact that 4 is double of 2. Hence, 4 time any number is double of 2 times that number. Thus, given 4 x 8, it can be evaluated using the double strategy as follows 2 x 8 + 2 x 8 = 16 + 16 = 32
Hugh is at the gym using an exercise bike. The bike counts each 1/4 mile as 1 lap.
If Hugh bikes 16 laps, how many miles does he bike?
Answers
please someone answer with an explanation if possible!
Answers
Answer:
download gauth math and scan it and will give u the answer
Answer:
C
Step-by-step explanation:
The y intercept is where the line first crosses the y axis, so it would be positive 2. The slope is negative because it's diagonally going the left way, and its 3 because from one point to another it's 3 down and 1. The formula for a slope is rise/run, in this case it would be 3/1 which is 3.
please help me with this sum
Answers
answer:
1) 271
2) 151
3) 169
4) 62
5) 90
Solve this equation to determine the number of solutions 3(2 + 4) - 2 = 2(2x + 5) - 2 Plsss help its do today and I leave for school in 20 minutes I have one more question after this!
Answers
Answer:
duh
Step-by-step explanation:
If a baby weighs 7 lbs at birth and 12 Ibs after 20 weeks, how much did the baby weigh after 4 weeks, assuming linear growth? [?] lbs
Answers
Answer: 8lbs
Step-by-step explanation:
The baby gained one pound
Assuming linear growth, the baby would weigh approximately 8 lbs after 4 weeks.
How to determine the weight of the babyAssuming linear growth, we can use the concept of a slope to estimate the baby's weight after 4 weeks.
Given information:
Weight at birth (0 weeks): 7 lbs
Weight after 20 weeks: 12 lbs
We can calculate the rate of change (slope) of the baby's weight per week:
Slope = (Change in weight) / (Change in weeks)
Slope = (12 lbs - 7 lbs) / (20 weeks - 0 weeks)
Slope = 5 lbs / 20 weeks
Slope = 0.25 lbs/week
Now, using the slope, we can estimate the baby's weight after 4 weeks:
Estimated weight change = Slope * Number of weeks
Estimated weight change = 0.25 lbs/week * 4 weeks
Estimated weight change = 1 lb
So, the baby's weight after 4 weeks would be the initial weight (7 lbs) plus the estimated weight change (1 lb):
Estimated weight after 4 weeks = Initial weight + Estimated weight change
Estimated weight after 4 weeks = 7 lbs + 1 lb
Estimated weight after 4 weeks = 8 lbs
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 130x + 140
Answers
Answer:
10.17 seconds
Step-by-step explanation:
substitute y=0 into the equation
0=-16x²+153x+98
then use the quadratic formula
a = -16
b= 153
c = 98
Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):
x₁= 10.17
x₂= -0.60
