Answer:
(x+1)² = 7
Step-by-step explanation:
Given the expression
-2x = x² - 6
Rewrite
x² - 6 + 2x = 0
x²+2x-6 = 0
Add 6 to both sides
x²+2x-6+6 = 0+6
x²+2x = 6
Add square of half of coefficient of x to both sides
Coefficient of x = 2
Half of Coefficient of x = 2/2 = 1
Square of half of Coefficient of x = 1² = 1
Add 1 to both sides
x²+2x + 1= 6 + 1
Factorize the LHS
x²+x+x + 1 = 7
x(x+1)+1(x+1) = 7
(x+1)(x+1) = 7
(x+1)² = 7
hence the equation rewritten by completing the square method is
(x+1)² = 7
identify the terminal point for a 45° angle in a unit circle
plz I need some help here
Use the unit circle.
Looking at the picture, the answer is A. See it?
What did I do wrong in this?? I have no idea its due soon. Sorry about my handwriting
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
[tex] \frac{1}{2} (x + 8) - 16 = - 4[/tex]
[tex] \frac{1}{2} x + 4 - 16 = - 4[/tex]
[tex] \frac{1}{2} x + 4 = 12[/tex]
[tex] \frac{1}{2} x = 8[/tex]
[tex]x = 16[/tex]
Answer:
Step-by-step explanation:
[tex]\frac{1}{2}(x + 8 ) - 16 = - 4\\\\\frac{1}{2}*x + 8*\frac{1}{2} - 16 = -4\\\\\frac{1}{2}x + 4 - 16 = -4\\\\\frac{1}{2}x -12 = -4[/tex]
Add 12 to both sides
[tex]\frac{1}{2}x = -4 + 12\\\\\frac{1}{2}x = 8\\[/tex]
Multiply both sides by 2
[tex]x = 8*2\\\\x = 16[/tex]
What is the value of this expression?
14 + 6 x (9-6)
Plz helppp
Answer:
32
Step-by-step explanation:
9-6 = 3
3 x 6 = 18
18 + 14 = 32
Which of the following polygons is not a regular polygon?
Renata and ben each have 32 feet of wood for framing their rectangular murals. Renata makes her frame 18 ft high. Ben makes his frame 5 ft high. Whose mural has the greater area? How much greater?
Answer: Renata, [tex]416\ ft^2[/tex]
Step-by-step explanation:
Given
The base of rectangular wood is [tex]b=32\ ft[/tex]
The height of Renata frame is [tex]h_r=18\ ft[/tex]
The height of the ben frame is [tex]h_b=5\ ft[/tex]
The area of the rectangular frame is [tex]A=b\times h[/tex]
The area of Renata frame is [tex]A_r=32\times 18=576\ ft^2[/tex]
The area of the ben frame is [tex]A_b=32\times 5=160\ ft^2[/tex]
Clearly, the area of Renata is more by [tex]576-160=416\ ft^2[/tex]
Two months ago, the price, in dollars, of a cell phone was c.
a Last month, the price of the phone increased by 10%. Write an expression for the price of the phone
last month.
b. If the price of the cell phone was originally $399. how much is was it last month?
(From Unit 4, Lesson 8)
Answer:
Step-by-step explanation:1.1c
The expression for the price last month is 1.1c, and the cell phone was $438.9 last month
The expression for the price last month?The given parameters are:
Initial price = cIncrement = 10%The price last month would be:
Price = Initial price * (1 + Increment)
This gives
Price = c * (1 + 10%)
Evaluate
Price = 1.1c
The actual price last monthWe have:
c = 399
So, the expression becomes
Price = 1.1 * 399
Evaluate
Price = 438.9
Hence, the cell phone was $438.9 last month
Read more about percentage change at:
https://brainly.com/question/247492
(IN SPANISH)
NEED AN AWNSER ASAP THANK YOU.
1. Find the volume.
8 5 and 1
Answer:
40
Step-by-step explanation:
The figure shown is a rectangular prism with a length of 1, a width of 8 and a height of 5 and given this information we want to find the volume
The volume of a rectangular prism can easily be calculated by multiplying the width by the length by the height
so the volume of this rectangular prism specifically = 5 * 8 * 1
5 * 8 = 40
40 * 1 = 40
so the volume is 40
Rearrange tiles on the board to represent equivalent
expressions
Which expression is equivalent to 3x - 5?
O 2x - 4-1 + x
O -x + x + x-1-1-1-1-1
0-5 - 3x
O 3x +5
Board sum: 3x + (-5)
The tiles are ready for moving.
Reset
Intro
Done
The expressions that is equivalent to 3x - 5 are 2x - 4-1 + x and 3x+(-5)
Expressions and equationsFrom the given information, we need to calculate the expression that is equivalent to 3x - 5.
For the expression 2x - 4 - 1 + x
2x + x -4 - 13x - 5For the expression -x + x + x-1-1-1-1-1
2x - 5
For the expression 3x+(-5)
= 3x - 5
Hence the expressions that is equivalent to 3x - 5 are 2x - 4-1 + x and 3x+(-5)
Learn more on expressions here: https://brainly.com/question/25968875
Please help me with the questions
Answer:
V = 768in³
LA = 608in²
SA = 692in²
Step-by-step explanation:
Volume:
7 x 12 ÷ 2 = 42
42 x 19 = 768
LA:
11 x 19 = 209
9 x 19 = 171
19 x 12 = 228
209 + 171 + 228 = 608
SA:
12 x 7 = 84
84 + 608 = 692
hope this is right:)
A graph of f(x) = 6^2 - 11x + 3 is shown on the grid
What are the zeros of f?
A. 3
B. 2 and 9
C. 11/12
D. 1/3 and 3/2
Help please I need this rn
Answer:
Bank A
Step-by-step explanation:
Answer:
a because its true it is
Step-by-step explanation:
a so a because its true
what is the value of x
Competency: Write the linear equations Ax + By = C. Give the value of A,B, and C,.
Answer:
see explanation
Step-by-step explanation:
(1)
y = - x + 4 ( add x to both sides )
x + y = 4
with A = 1, B = 1, C = 4
(2)
y = 5x + 7 ( subtract y from both sides )
0 = 5x - y + 7 ( subtract 7 from both sides )
- 7 = 5x - y , that is
5x - y = - 7
with A = 5, B = - 1, C = - 7
----------------------------------------------------------
(1)
2x + y = 9 ( subtract 2x from both sides )
y = - 2x + 9
with m = - 2, c = 9
(2)
5x + 2y = 7 ( subtract 5x from both sides )
2y = - 5x + 7 ( divide terms by 2 )
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{7}{2}[/tex]
with m = - [tex]\frac{5}{2}[/tex] , c = [tex]\frac{7}{2}[/tex]
Billy got 4 hits in his last 20 at-bats. Based upon this information, how many hits would you expect Billy to get during his next 50 at-bats?
Answer:
10
Step-by-step explanation:
4 hits x hits
_______ = _________
20 at-bats 50 at -bats
Which expression is equivalent to sqrt10/4sqrt8
Answer:
i think it is the third one.
Step-by-step explanation:
Answer:
first choice: ⁴√200 / 2
Step-by-step explanation:
√10 / ⁴√8 = ((√10)*(⁴√2)) / ((⁴√2³)*(⁴√2))
= (⁴√100 * ⁴√2) / (⁴√2⁴)
= ⁴√200 / 2
The number of customers that come to a certain clothing store each day follows a normal distribution. The mean number of customers is 428, and the standard deviation is 32. What is the probability that more than 524 customers will come to the store on a given day?
A.
0.15%
B.
0.3%
C.
2.5%
D.
5%
Answer: the true answer is A
Step-by-step explanation:
Good luck, give Brainliest
Using the normal distribution, it is found that the probability that more than 524 customers will come to the store on a given day is given by:
A. 0.15%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 428, \sigma = 32[/tex].
The probability that more than 524 customers will come to the store on a given day is one subtracted by the p-value of Z when X = 524, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{524 - 428}{32}[/tex]
Z = 3
Z = 3 has a p-value of 0.9985.
1 - 0.9985 = 0.0015 = 0.15%.
Hence option A is correct.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ2
(7x+3) (10x-14) HELP PLEASE
Answer:
70[tex]x^{2}[/tex]+30x-140
Step-by-step explanation:
(7x+3) (10x-14)
70[tex]x^{2}[/tex]-98+30x-42
70[tex]x^{2}[/tex]+30x-42-98
70[tex]x^{2}[/tex]+30x-140
Answer:
x = 9
Step-by-step explanation:
These are vertical angles, and thus the angles are equal.
7x + 3 = 10x - 24
Combining like terms, we get
27 = 3x, so that x must be 9.
x = 9
HELP!! Does this graph show a function?
Answer: B) Yes, the graph passes the vertical line test.
========================================================
Explanation:
Ask yourself if it is possible to draw a single straight vertical line through more than one point on the red parabola. Since such as task is not possible in this case, we consider this curve to be "passing the vertical line test". It means that any x value input leads to exactly one and only one y value output.
Plz help have to turn in today
Answer:
Function 2
Step-by-step explanation:
slope of Function 1 is 5/8
slope of Function 2 is 3/4, or 6/8
Find the area.(please help)
Answer:
180 m
Step-by-step explanation:
Guided Practice
Solve the compound inequality.
3 ≤ w + 2 ≤ 7
A.
5 ≤ w ≤ 9
B.
1 ≤ w ≤ 7
C.
1 ≤ w ≤ 5
Answer:
C.
1 ≤ w ≤ 5
Step-by-step explanation:
Move all terms not containing
w
from the center section of the inequality.
Inequality Form:
1 ≤ w ≤ 5
Interval Notation:
[ 1 , 5 ]
The top edge of the window is a semicircle. The distance across the window is 2.5 ft. What is the distance around the top edge of the window? Use 3.14 for π, and round your answer to the nearest tenth.
2.5 ft
3.9 ft
5 ft
7.85 ft
Answer: 3.9 ft
Step-by-step explanation:
From the question, the distance across the window which is 2.5 ft is the diameter. Therefore, radius will be:
= 2.5 / 2
= 1.25 ft
Then, we calculate the circumference of the circle which will be:
= 2πr
= 2 × 3.14 × 1.25
= 7.85 ft
Nite that it's a semi circle, therefore we divide the perimeter by 2. This will be:
= 7.85/2
= 3.9 feet
Answer:
b
Step-by-step explanation:
what is 4+4+5+8+8+4+5+1+2+3+4=
Answer: 48
explanation : 4+4=8
8+5=13
13+8=21
21+8=29
29+4=33
33+5=38
38+1=39
39+2=41
41+3=44
44+4=48
what does the exspression 5n represent
Answer:
It either used as a variable in math or used by teens and adults as the word "Fine".
Step-by-step explanation:
Answer:
if we mean by math, 5n means 5 × a number
Step-by-step explanation:
say if your problem is 5n=20
20 ÷ 5=4
n=4
5 × 4= 20
hope this helps!
Adrian measured a line to be 13.8 inches long. If the actual length of the line is 13.1
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
Answer:
5.34%.
Step-by-step explanation:
Given that,
Measured length of a line = 13.8 inches
Actual length of the line = 13.1 inches
We need to find the percent error of the measurement. We can find it as follows :
[tex]\%=\dfrac{|measured-actual|}{actual}\times 100\\\\\%=\dfrac{13.8-13.1}{13.1}\times 100\\\\\%=5.34\%[/tex]
So, the required percentage is equal to 5.34%.
The Sea Dragon, a pendulum ride at an amusement park, moves from its central position at rest according to the trigonometric function P(t)=−10sin(pi/3t), where t represents time, in seconds. How many seconds does it take the pendulum to complete one full cycle?
A= 3
B= 5
C= 6
D= 10
Answer:T = 2*Pi / (Pi / 3) = 6 seconds
Step-by-step explanation:
The time (in seconds) that it take the pendulum to complete one full cycle is given by: Option C: 6 (seconds)
What is the period of sine function?Trigonometric functions are periodic. They repeat their values after some specific constant input interval (constant depends on the trigonometric function chosen).
For sine function, its period is 2π
Thus, we get:
[tex]y = \sin(x) = \sin(x+2\pi) = \sin(x + 2\pi n) ; n \in \mathbb Z[/tex] integer, and y is some constant at some constant value of x)
For this case, the pendulum's motion is modeled by:
[tex]P(t) = -10\sin\left(\dfrac{\pi}{3} t\right)[/tex]
Let it takes 'd' seconds to do one full cycle, then we get:
[tex]P(t) = P(t+d) = P(t+2d) = P(t + nd); n \in \mathbb Z - \mathbb Z^{-}[/tex] (n is non-negative integer).
Using the formula, we get:
[tex]-10\sin\left(\dfrac{\pi}{3} t\right) = -10\sin\left(\dfrac{\pi}{3} (t + nd)\right)\\\sin\left(\dfrac{\pi}{3} t\right) =\sin\left(\dfrac{\pi}{3}t + \dfrac{\pi}{3}nd\right)[/tex]
But we know that:
[tex]\sin\left(\dfrac{\pi}{3} t\right) =\sin\left(\dfrac{\pi}{3}t +2\pi n\right)[/tex]
Thus, we get:
[tex]2\pi n = \dfrac{\pi}{3}nd\\[/tex] (compared for non-negative values of n)
This gives:
[tex]d = \dfrac{2\pi n \times 3}{\pi n} = 6[/tex] (in seconds)
Thus, the time (in seconds) that it take the pendulum to complete one full cycle is given by: Option C: 6 (seconds)
Learn more about periodic functions here:
https://brainly.com/question/12529476
What is 20% of 90???
Answer: 18
Step-by-step explanation:
First we want to turn 20% into a decimal so we can multiply it by 90.
So to do that we divide 20 by 100.
20/100=0.2 so 0.2 is the decimal form of 20%.
Then we multiply 90 by 0.2 to get 18 as our answer.
Answer:
Answer: 20% of 90 is 18.
Let's find 20% of 90.
Explanation
20% of 90 can be written as 20% × 90
= 20/100 × 90
= 18
Thus, 20% of 90 is 18.
Step-by-step explanation:
sorry if i get it wrong
I tried my best
Calculate the closing price of a bond that has a face value of $1,000 and is closing at 101 7/8% of the face value.
A. $1,001.78
B. $1,000.78
C. $1,018.75
D. $1,000.75
Answer:
The present value of this bond is simply the sum of these two present values: ... an investment in an 8%, $1,000 par value, 5-year Government of Canada bond. ... D.T-bill yield is calculated as (100-price)/price x (365/term) x 100. ... maturity (per $100 face value) for a bond with a 7.0% coupon, current market price of $107.50 ...
Step-by-step explanation:
The answer is C $1,018.75
Ariana orders T-shirts for her volleyball camp. Adult-sized T-shirts cost $5.75 each and
youth-sized T-shirts cost $3.25 each. Ariana has $625 to purchase both adult-sized and
youth-sized T-shirts. If she purchases 55 youth-sized T-shirts, determine algebraically the
maximum number of adult-sized T-shirts she can purchase.
a. Write an inequality to model this situation (1 point):
I
b. Solve your inequality to determine the number of adult-sized shirts Ariana can purchase
round to the nearest tenth (2 points):
c. How many adult-sized shirts can Ariana purchase without going over her budget?
Explain.
Answer: she can get 50 adult t-shirts
Step-by-step explanation:
55 x 3.25 = 178.75
625-178.75 = 446.25
446.25 - 5.75 = 440.5
440.5-5.75 = 434.75
434.75-5.75 = 429
429-5.75 = 423.25
423.25-5.75 = 417.5
417.5-5.75 = 411.75
411.75-5.75 = 406
406-5.75 = 400.25
400.25-5.75 = 394.5
394.5-5.75 = 388.75
388.75-5.75 = 383
383-5.75 = 377.25
377.25-5.75 = 371.5
371.5-5.75 = 365.75
365.75-5.75 = 360
360-5.75 =354.25
354.25-5.75 = 348.5
348.5-5.75 = 342.75
342.75-5.75 = 337
337-5.75 = 331.25
331.25-5.75 = 325.5
325.5-5.75 = 319.75
319.75-5.75 = 314
314-5.75 = 308.25
308.25-5.75 = 302.5
302.5-5.75 = 296.75
296.75-5.75 = 291
291-5.75 = 285.25
285.25-5.75 = 279.5
279.5-5.75 = 273.75
273.75-5.75 = 268
268-5.75 = 262.25
262.25-11.5 = 250.75
250.75-11.5 = 239.25
239.25-11.5 = 227.75
227.75-11.5 = 216.25
216.25-11.5 = 204.75
204.75-11.5 = 193.25
193.25-11.5 = 181.75
181.75-11.5 = 170.25
170.25-11.5 = 158.75
158.75-11.5 = 147.25
147.25-11.5 = 135.75
135.75-11.5 = 124.25
124.25-11.5 = 112.75
112.75-11.5 = 101.25
101.25-11.5 = 89.75
89.75-11.5 = 78.25
78.25-11.5 =66.75
66.75-11.5 = 55.25
55.25-11.5 = 43.75
43.75-11.5 = 32.25
32.25-11.5 = 20.75
20.75-11.5 = 9.25
2 x 22+32 = 76
