Answer:
252
Step-by-step explanation:
Identify a transformation of the function f(x)
x2 by observing the equation of the function g(x) = (x - 6)^2
Answer:
2nd option
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Here g(x) = (x - 6)²
The base graph has been shifted right 6 units
The membership fee for joining a gardening association is
$24 per year. A local botanical garden charges members of the gardening association
$3 for admission to the garden. Nonmembers of the association are charred $6.
After how many visits to the garden is the total cost for members, including the
the total cost for nonmembers?
Hi.
Let's call X number of visits.
so members pay for a year : membership 24 and reduce entrance at 3 dollars.
so you member pay : 3X+24
a non member pay entrance fee of 6 for each visit.
so 6X
Question : for how many visit would a membership will be more intresting than standar entrance ?
3X+24 = 6X
3X-6X = -24
-3X=-24
X= -24/-3
X =24/3
X= 8
Under 8 visit a year, it's cheaper non being a member.
at 8 entrance cost is the same for members and non member. After it better to choose membership as
9 entrances for member is : 3x9 +24 = 27+24= 51
non member : 9x6 = 54
And so on for each supplementary visits.
Jia baked two kinds of muffins. She baked 27 blueberry muffins. The number of cranberry muffins she baked is represented by the equation shown.
27 ÷ 3 = 9
Which statement accurately compares the number of blueberry muffins and the number of cranberry muffins?
Jia baked 3 times as many blueberry muffins as cranberry muffins.
Jia baked 9 times as many blueberry muffins as cranberry muffins.
Jia baked 3 times as many cranberry muffins as blueberry muffins.
Jia baked 9 times as many cranberry muffins as blueberry muffins.
Answer:
she baked 3 times as many cranberry than blueberry muffins
Step-by-step explanation:
i think that because 9×3=27
the amount of the cranberry muffins are 9
Which quadratic formula do I need to use to solve 2x(x+1.5)=-1
Answer:
x = - 1, x = - 0.5
Step-by-step explanation:
Given
2x(x + 1.5) = - 1 ← distribute parenthesis on left side
2x² + 3x = - 1 ( add 1 to both sides )
2x² + 3x + 1 = 0 ← in standard form
(2x + 1)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - 0.5
If the areas of two similar triangles are equal, prove that they are congruent
Refer the attached image for the answer
HOPE SO IT HELPS YOU
9.
A rocket is launched from the top of a 76-foot cliff with an initial velocity of 135 ft/s. a. Substitute the values into the vertical motion formula h = –16t2 + vt + c. Let h = 0. b. Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
A. 0 = –16t2 + 135t + 76; 0.5 s
B. 0 = –16t2 + 76t + 135; 9 s
C. 0 = –16t2 + 76t + 135; 0.5 s
D. 0 = –16t2 + 135t + 76; 9 s
Answer:
The answer is 2.)
Step-by-step explanation:
Given initial velocity=135 ft/s
& cliff=76 foot
Given quadratic equation
⇒ (let h=0 it is given)
⇒
⇒
⇒ t=8.96≈9 s (the other root is negative)
Hence, rocket will take 9 s to hit the ground after launched.
Answer: Choice D
0 = 16t^2 + 135t + 76; 9 s
==============================================
Explanation:
The equation we start with is
[tex]h = -16t^2 + vt + c\\\\[/tex]
where v is the starting or initial velocity, and c is the starting height.
We're told that v = 135 and c = 76
We let h = 0 to indicate when the object hits the ground, aka the height is 0 ft.
That means the equation updates to [tex]0 = -16t^2 + 135t + 76\\\\[/tex]
Based on that alone, the answer is between A or D
-------------------
We'll use the quadratic formula to solve for t
We have
a = -16b = 135c = 76So,
[tex]t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\t = \frac{-135 \pm \sqrt{135^2 - 4(-16)(76)}}{2(-16)}\\\\t = \frac{-135 \pm \sqrt{23,089}}{-32}\\\\t \approx \frac{-135 \pm 151.9506}{-32}\\\\t \approx \frac{-135 + 151.9506}{-32} \ \text{ or } \ t \approx \frac{-135 - 151.9506}{-32}\\\\t \approx \frac{16.9506}{-32} \ \text{ or } \ t \approx \frac{-286.9506}{-32}\\\\t \approx -0.52971 \ \text{ or } \ t \approx 8.96721\\\\[/tex]
We ignore the negative t value because a negative time duration makes no sense.
The only practical solution here is roughly 8.96721 which rounds to 9.0 or simply 9 when we round to the nearest tenth (one decimal place).
In short, the object will hit the ground at the 9 second mark roughly. Or put another way: the object is in the air for about 9 seconds.
From this, we can see that the final answer is choice D.
Keep in mind that we aren't accounting for any wind resistance. Considering this variable greatly complicates the problem and requires much higher level mathematics. So we just assume that there is no wind at this moment.
3/4 + 4/7 + 3/4
plz help
Answer:
29/14
Step-by-step explanation:
Start by working out the LCM of these (or any common denominator). A common denominator for 4 and 7 is 28 cuz 4 x 7 = 28.
3/4 = 21/28
4/7 = 16/28
3/4 = 21/28
(21+16+21)/28 = 58/28 which can simplify to 29/14
hi
Golden rule : you can only add or substract fraction if and only if they have the same denominator.
so two solutions :
you see that one denominator is a multiple of the second. so you multiply all the fraction by this multiple.
ex : 1/3 + 5/6
here I can easely convert 1/3 into a fraction with 6 as 6 is 3x2.
so : 1x2 = 2 and 3x2 = 6
1/3 is 2/6
so. 1/3 +5/6 = 2/6 +5/6
fraction have same denominator, I add numerators : 2/6 +5/6 =7/6
if it not that evident, you multiply fraction A up and down by denominator of fraction B.
and you multiply up and down fraction B by denomonator of fraction A
let' s see with your exemle :
3/4 +4/7+3/4 = ?
first I add fraction with same denominator :
3/4+3/4+4/7 = 6/4 +4/7
fraction A is 6/4.
I multiply up and down by denominator fractiok B which is " 7"
so. 6/4 = 6x7/4×7 = 42/28
let's apply method to fraction B whixh is 4/7 . let' multiply up and down by denominator of fraction A which is " 4"
so : 4/7 = 4x4 /7x4 = 16/28
now we have :
6/4 +4/7 = 42/28 +16/28
both my fractions have same denominator "28" so I add numerator :
42/28 +16/28 = 58/28
Now must wonder if 58/28 can be simplify. Good trick is to decompose numbers, and in prime number is the best way to do
58 = 2x29
28 = 7x2x2
so 58/28= (2×29)/ (7x2x2)
when there is same number up and down I can cross it out .
so here one "2" up and down can be rule out
so 58/28 = 2x29 /7×2×2 = 29/7x2 =29/14
I can not symplify more, so calculus is over.
in short :
3/4+4/7+3/4 = 6/4+4/7
= 42/28 +16/28
=58/28
= 29/14
what's the formula of
(a+b)³ = ?
Answer:
(a+b)³=a³+3a²b+3ab²+b³
Answer:
Step-by-step explanation:
Hello!
(a+b)(a+b)(a+b)
(a+b)(a+b) = a²+2ab + b²
(a²+2ab + b²) (a+b)=
a³ + a²b + 2a²b + 2ab² + ab² + b³ =
a³ + b³ + 2a²b + 2ab² + ab² + a²b
i  genuinely dont know help
Answer:
-13 1/2 < -6/8
Step-by-step explanation:
*Any negative in either the numerator or denominator will make the entire fraction negative.
1/2 = .5
-13 1/2 = -13.5
-6/8 = -3/4
-3/4 = -0.75
-6/8 = -0.75
-13 1/2 = -13.5
Which means:
-13 1/2 < -6/8
Hope this helped.
Answer:
[tex] < [/tex]
Step-by-step explanation:
[tex] \frac{6}{8} [/tex]
Is close to 0 (to positive) you can use a time line to determine which is a correct answer
Solve the equation. Then check your solution.
x - 4 = 2
a.–6
c.7
b.6
d.–2
Please select the best answer from the choices provided
A
B
C
D
Answer:
b) 6
Step-by-step explanation:
x - 4 = 2
x = 2 + 4
x = 6
often contains information about the author's experiences with the subject matter of
9. The author's introduction to a book, also called a/an
the book.
A. glossary
B. Index
C. table of contents
D. preface
Im quite sure it’s d wanna make sure
what is the commutative property for 4xy
PLEASE ANSWER QUICKLY
Answer:
[tex]we \: know \: that \: commutative \: prop \\ = x + y = y + x \\ then \\ 4xy + 0 = 0 + 4xy \\ thank \: you[/tex]
BRAINLEST IF CORRECT!!!!!!!
Answer:[tex]\huge \boxed{x=180-26-90=64}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
You have the angels 180, 26, 90(right angle) and x. So when you add them all up you should get 360 because there aren’t two straight lines. Only line makes a 180 angle. So...
180 + 26 + 90 + x = 360
296 + x = 360
x = 360 - 296
x = 64
Sayad bought a watch and sold to Dakshes at 10% profit. Sayad again sold it to Sahayata for rs 6,050 at 10% profit. i)Find the cost price of Dakshes. ii) Find the cost price of Sayad.
Answer:
The cost price of Dakshes was $ 5,500, while the cost price of Sayad was $ 5,000.
Step-by-step explanation:
Given that Sayad bought a watch and sold to Dakshes at 10% profit, and Dakshes again sold it to Sahayata for $ 6,050 at 10% profit, to find the cost price of Dakshes and the cost price of Sayad the following calculations must be performed:
6,050 / 1.1 = X
5,500 = X
5,500 / 1.1 = X
5,000 = X
Therefore, the cost price of Dakshes was $ 5,500, while the cost price of Sayad was $ 5,000.
Analyze the diagram below and complete the instructions that follow.
10
6
B.
'C С
8
Find sin ZA
A 3
5
B. 4
C 1
Answer:
B. 4/5
Step-by-step explanation:
Sin = Opposite/Hypotenuse
Sin∠A = 8/10 = 4/5
paul leaves for school at 7:25 am he returned home at 3:15 pm how long was paul away from home?
Answer:
8 hours 10 minutes
I hope this answers your question
Answer: paul has been away from home for 7 hours and 50 minutes.
Step-by-step explanation:
find the value of a and b if [tex]5+√3/7+2√3=a-b√3[/tex]
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.
Step-by-step explanation:
There are mistakes in the statement, correct form is presented below:
[tex]5+\frac{\sqrt{3}}{7} + 2\sqrt{3} = a - b\cdot \sqrt{3}[/tex].
By direct comparison we have the following system of equations:
[tex]a = 5[/tex] (1)
[tex]\frac{\sqrt{3}}{7}+2\sqrt{3} = -b\cdot \sqrt{3}[/tex] (2)
In (2) we solve for [tex]b[/tex]:
[tex]\left(\frac{1}{7}+2 \right)\cdot \sqrt{3} = -b\cdot \sqrt{3}[/tex]
[tex]b = -\frac{15}{7}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.
I really really need help with this
Answer:
c) 21
Step-by-step explanation:
[tex] \sqrt{169} + \sqrt{64} [/tex]
13+8
answer is 21
QUICK PLZ!!!!! Which graph shows the result of dilating this figure by a factor of One-third about the origin? On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6). On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2). On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18). On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer:
[tex]A' = (-2,2)[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (2,-2)[/tex]
Step-by-step explanation:
Given
[tex]A = (-6,6)[/tex]
[tex]B = (6,6)[/tex]
[tex]C = (6,-6)[/tex]
[tex]k = \frac{1}{3}[/tex]
Required
The new coordinates
To do this, we simply multiply the coordinates of [tex]\triangle ABC[/tex] by the factor of dilation.
i.e.:
[tex]A' = A * k[/tex]
[tex]B' = B * k[/tex]
[tex]C' = C * k[/tex]
So, we have:
[tex]A' = (-6,6) * \frac{1}{3}[/tex]
[tex]A' = (-2,2)[/tex]
[tex]B' = (6,6) * \frac{1}{3}[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (6,-6) * \frac{1}{3}[/tex]
[tex]C' = (2,-2)[/tex]
What percentage is 150 grams of 400 grams?
1 %
Answer:
37.5%
Step-by-step explanation:
150/450 = .375 = 37.5%
The percentage is 150 grams out of 400 grams will be 37.5%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
It is given that the difference between the initial and final value is 15 grams and the initial value is 400 grams.
Then the percentage is 150 grams out of 400 grams will be
P = (150 / 400) x 100
P = 0.375 x 100
P = 37.5%
Thus, the percentage is 150 grams out of 400 grams will be 37.5%.
More about the percentage link is given below.
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in the first quarter austin played for 4 minutes and 30 seconds. wyatt played for 310 seconds who had more playing time
Answer:
wyatt
Step-by-step explanation:
4:30 mins is 270 seconds
sentence
After several days of drilling, a water well is 80
meters deep. The well is being drilled at a rate of
20 meters per day.
How many more days will it take to reach a total
depth of 180 meters?
Answer:
it will take 5days to reach a total of 180meters
Step-by-step explanation:
80m+20+20+20+20+20
=180meters
=5days
Which function is increasing?
Answer:
A, it's the only one with a number greater then 1
Solve BCD. Round the answers to the nearest hundredth, if necessary.
Answer:
B
Step-by-step explanation:
here we use trigonometric ratio involving soh,cah,toa
round 1.89 to one decimal place
Answer:
1.9
Step-by-step explanation:
You round when the numbers behind the decimal are 5 or greater. This being said, you need to round from the number furthest away from the decimal. In this case it would be 9. 9 is greater than 5 so we round 8 up to 9 and get rid of the number behind it. We are left with 1.9
10700 by 100 + 5192by 1000 - 412
Answer:
the answer is -299.808 well that's what I think it's
Answer:
-299.808
Step-by-step explanation:
= 10700/100 + 5192/100 - 412
= 107 + 5.192 - 412
= -299.808
I need help right now ASAP!!!please man some on help me
Answer:
hope it helps
Step-by-step explanation:
Answer:
Step-by-step explanation:
S is the midpoint of QR.
⇒ RS = QS
QR ⊥ PS
⇒ ∠RSP = ∠QSP = 90°
In ΔPSR & ΔPSQ,
Statement Reason
RS ≅ QS S is midpoint of QR
∠RSP ≅ ∠QSP QR ⊥ PS
PS ≅ PS Reflexive property
ΔPSR ≅ ΔPSQ Side Angle Side - S A S Congruent
PR≅ PQ CPCTC
Please help explanation if possible
Answer:
(-4, -1)
Step-by-step explanation:
The solution to the system of equations on a graph is the point in which they intersect. Therefore, the solution is (-4, -1).
Given a dilation around the origin, what is the scale factor K?
D o, K = (2,4) → (3,6)
Answer:
It is 3/2, I got it right on my exam.
Step-by-step explanation:
Dilation is a transformation that allows you to resize an object. The dilation factor of the given point is 3/2.
What is dilation?Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.
Given the dilation of the k around the origin as K = (2,4) → (3,6), therefore, the point k is dilated 1 unit to the right and 2 units upwards.
Let the dilation factor be represented by a, then,
2 × a = 3
a = 3/2
Similarly for the y-axis,
4 × a = 6
a = 6/4 = 3/2
Hence, the dilation factor of the given point is 3/2.
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The cross-section of a searchlight mirror is shaped like a parabola. The light bulb is located 3 centimeters from the base along the axis of symmetry. If the mirror is 20 centimeters across at the opening, find its depth in centimeters. (Round your answer to the nearest tenth if necessary.)
The depth of the mirror of the cross-section of a searchlight would be 8.33 cm if the light bub has a vertex at 3 cm and the mirror is 20 centimeters across at the origin.
A cross-section is perpendicular to the axis of the symmetry goes through the vertex of the parabola. The cross-sectional shape of the mirrored section of most searchlights or spotlights is parabolic.
It helps in maximizing the output of light in one direction.The equation of the cross-section of the parabola is - [tex]y^{2} = 4ax[/tex], where a is the focus and x is the depth of the mirror from its origin.Given:
a = 3
y = [tex]\frac{20}{2}[/tex] cm = 10 cm
Solution:
from the equation [tex]y^{2} = 4ax[/tex]
[tex]y^{2} = 4*3*x\\ y^{2} = 12x[/tex]
putting x, 10 cm in the equation
[tex]x=\frac{10^{2} }{12} \\\\x= \frac{100}{12} \\\\x= 8.33 cm[/tex]
thus, the depth of the mirror would be - 8.33 cm
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