Answer:
(x + 4)² - 45
Step-by-step explanation:
Given
x² + 8x - 29
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 - 29
= (x + 4)² - 45
The resulting function by completing the square is f(x) = (x+ 4)² - 45
Given the function
f(x) = x² + 8x - 29
The function can also be grouped like this:
f(x) = (x² + 8x) - 29
Completing the square of the function in parenthesis
f(x) = (x² + 8x) - 29
To do that, we will add the square of the half of the coefficient of x:
Coefficient of x = 8
half of Coefficient of x = 8/2 = 4
Squaring the result = 4² = 16
The function will then become:
f(x) = (x² + 8x + 16 - 16) - 29
f(x) = (x² + 8x + 16) - 16 - 29
f(x) = (x² + 8x + 16) - 45
Factorizing the function in bracket:
f(x) = (x+ 4)² - 45
Hence the resulting function by completing the square is f(x) = (x+ 4)² - 45
Learn more here: https://brainly.com/question/13981588
What is 4.5a+7+3.5a+2
Answer:
8a+9
Step-by-step explanation:
You have to add the like terms.
4.5a+7+3.5a+2
4.5a+3.5a=8a
7+2= 9
8a+9
Please help, thanks ·ω·
Answer:B, D, E
Step-by-step explanation:
The graph below shows the hours students spent studying and their science test scores.
Hours Spent Studying vs. Science Test Scores
A graph has hours spent studying on the x-axis and test score on the y-axis. A line has a regression equation of y = 3.1 x + 40.5.
A student gets a score of 70 on the test. Based on the trend line in the scatter plot, how much time did the student spend studying?
3.1 hours
4.5 hours
9.5 hours
40.5 hours
Answer:
(c) 9.5 hours
Step-by-step explanation:
The equation of the trend line predicts a score based on study hours. Here, we're asked for the inverse relation: finding a number of study hours based on a given score.
Inverse relationWe can solve the equation for x in terms of y:
y = 3.1x +40.5
y -40.5 = 3.1x . . . . subtract 40.5
(y -40.5)/3.1 = x . . . . divide by the coefficient of x
This tells us the number of hours spent studying for a particular score.
ApplicationUsing y=70, we find the number of study hours to be ...
x = (70 -40.5)/3.1 = 29.5/3.1 ≈ 9.516 ≈ 9.5
The student spent about 9.5 hours studying.
Solve for x
9(x+1)=25+x
Answer:
x = 2
Step-by-step explanation:
9(x+1) = 25+x
Distribute
9x +9 = 25+x
Subtract x from each side
9x-x +9 = 25+x-x
8x +9 = 25
Subtract 9 from each side
8x+9-9 = 25-9
8x = 16
Divide each side by 8
8x/8 = 16/8
x = 2
f(x) = x + 2x2 - 4x - 3
Over the interval x = 0 to x = 2
Which function has the most x-intercepts?
At a small private college, 9/20 of the students are female. If there are 2,160 female students,
how many students are male?
A. 1,188
B. 2,640
C. 2,040
D. 972
Answer:
2,640
Step-by-step explanation:
To find the number of male students at the college, calculate the total number of students, then subtract the number of female students. The correct answer is option B: 2,640.
To find out how many male students are at the small private college, first, we need to determine the total number of students.
Since 9/20 of the students are female and there are 2,160 female students, we can set up a proportion to solve for the total number of students:
Since 9/20 represents the female students, 11/20 represents the male students.
Divide the total number of female students (2,160) by 9/20 to find the total number of students, which equals 4,800.
Subtract the total number of female students from the total number of students to find the number of male students, which equals 2,640.
Therefore, the answer is option B: 2,640.
What the square area with side length of 3/5 units
Answer:
9/25 units^2
Step-by-step explanation:
AREA(Square) = side * side = 3/5 *3/5 = 9/25 square units
Answer: 9/25 units ^2 :)
Which graph shows a system of equations with exactly one solution?
Answer:
d
Step-by-step explanation:
The graph that shows a system of equations with exactly one solution is graph d
Which graph shows exactly one solution?From the question, we have the following parameters that can be used in our computation:
The graphs
The graph that shows a system of equations with exactly one solution is the graph where there is only one point of intersection on the functions
Using the above as a guide, we have the following:
The graph that shows exactly one solution is (d)
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Determine if the statistical measure is used as a measure of center or a measure of variability
Measures of Center /
Measures of Variability
Range
interquartile range (IOR)
mean absolute deviation (MAD)
median
mode
mean
Answer:
you will find the answer in the “step-by-step explanation”
Step-by-step explanation:
Measures of center:
* Median.
* Mean.
* Mode
Measures of variability:
* Mean absolute deviation ( MAD ).
* Interquartile range ( IQR ).
* Range.
hope this helps
What is the value of the expression below when n equals 5.4? n - 2.5 + 4.7n
Answer:
28.28
Step-by-step explanation:
5.4-2.5+4.7(5.4)=
2.9 + 25.38=
28.28
Hope this helps!
What is 18.706 rounded to the nearest hundredth
Answer:
18.71
Step-by-step explanation:
What is the value of x in log2 (x) – 3 = 1?
Answer:
2^2
Step-by-step explanation:
2^2-3=1
Hope this helps!
Answer:
it is 2^2
Step-by-step explanation:
i did the iready diagnostic
What is the removable discontinuity
A removable discontinuity is a type of discontinuity in a function where the function can be redefined at that point to make it continuous. It usually occurs when there is a hole or gap in the graph of the function.
Explanation:A removable discontinuity, also known as a removable singularity, is a type of discontinuity in a function where the function can be redefined at that point to make it continuous.
The discontinuity is 'removable' because it can be 'filled in' or 'repaired' to make the function continuous.
This usually happens when there is a hole or gap in the graph of the function.
For example, consider the function f(x) = (x - 2)(x + 1) / (x - 2).
This function has a removable discontinuity at x = 2. If we simplify the function by canceling out the (x - 2) terms, we get f(x) = x + 1.
The simplified function is continuous at x = 2, even though the original function had a hole in the graph at that point.
It is important to note that not all discontinuities are removable.
There are other types of discontinuities, such as jump discontinuities and infinite discontinuities, which cannot be repaired to make the function continuous.
If the perimeter of a square is 14d+28 centimeters, what is the length, in centimeters, of each side of the square?
Answer:
Each side is (7/2d +4) cm
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side length
14d +28 = 4s
Divide each side by 4
14d/4 +28/4 = 4s/4
7/2d +7 = s
Each side is (7/2d +4) cm
Which represents the solution(s) of the equation x2 = 64?
A) x =
8
Eliminate
B) x = ±
8
C) x = −
64
D) x = ±
64
Answer:
A) x=8
Step-by-step explanation:
it can not be B because -8^2 = -64. it can't be either C or D because 64^2 = 4096 and doesn't equal 64.
Answer:
A
Step-by-step explanation:
complete the identity sin(2θ) sin(4θ) cos(2θ) cos(4θ) = ?
Answer:
Step-by-step explanation:
Factor the left hand side as a difference of squares:
(
cos
2
θ
+
sin
2
θ
)
(
cos
2
θ
−
sin
2
θ
)
=
cos
2
θ
−
sin
2
θ
Apply the pythagorean identity
cos
2
θ
+
sin
2
θ
=
1
:
1
(
cos
2
θ
−
sin
2
θ
)
=
cos
2
θ
−
sin
2
θ
cos
2
θ
−
sin
2
θ
=
cos
2
θ
−
sin
2
θ
L
H
S
=
R
H
S
Hopefully this helps!
Convert the angle 5 radians to degrees, rounding to the nearest 10th.
To convert 5 radians to degrees, multiply by 57.3 and round to the nearest 10th, which results in 286.5 degrees.
Explanation:To convert the angle of 5 radians to degrees, you use the conversion factor that states 1 radian equals approximately 57.3 degrees. By multiplying 5 radians by this conversion factor, you can find the equivalent measure in degrees.
Calculation is as follows:
5 radians * 57.3 degrees/radian = 286.5 degreesAfter rounding to the nearest 10th, the angle in degrees is 286.5°.
To convert radians to degrees, we use the conversion factor 1 radian = 57.3°. So, to convert 5 radians to degrees, we multiply 5 by 57.3, which gives us 286.5 degrees. Rounding to the nearest 10th, the answer is 286.5 degrees.
Bailey tossed a coin 10 times. the results were 7 heads and 3 tails. What is the best comparison between the theoretical and experimental probability of tossing heads?
Answer:
The theoretical probability is greater than the experimental probability.
The best comparison between the theoretical and experimental probability of tossing heads: The theoretical probability is equal to the experimental probability.
The theoretical probability of tossing heads can be calculated as the ratio of the number of favorable outcomes (heads) to the total number of possible outcomes (heads or tails). In a fair coin, this probability is 0.5 or 50%.
The experimental probability is determined by the outcomes observed in the experiment. In this case, Bailey observed 7 heads out of 10 tosses, which gives an experimental probability of 7/10 =0.7 or 70%.
Comparing the theoretical probability (0.5 or 50%) with the experimental probability (0.7 or 70%), we find that they are not exactly the same but quite close.
Given that the experimental probability is based on a limited number of trials (10 tosses), it may not perfectly match the theoretical probability. However, with more trials, the experimental probability tends to approach the theoretical probability.
Hence, the best comparison between the theoretical and experimental probability of tossing heads is that they are approximately equal.
Need Help ASAP!!!!!!!!!!!!!!!!!!!!
The answer is is C, hope this helps
Answer:
C. 76 movies
Step-by-step explanation:
1/4 × m = 32 - 13
m/4 = 19
m = 19 × 4
m = 76 movies
You flip two pennies 24 times and record the results. Use the table to find the experimental probability of NOT tossing two tails.
a. 5/24
b. 1/6
c. 19/24
d. 5/8
Look at the attached image and then answer...
Which point is located at (2, 3)?
1 A
2 B
3 C
4 D
Hi abycflo! Please read the following :)
We know that the first coordinate location given should always be on the x-axis.
The x-axis is the line you can see that is going horizontal or sideways.
So we know that we have to line up 2 on the x-axis and we immediately know its going to be either B or C.
The y-axis is the line going up or vertically. So on the 3 for the y-axis, we found out that our answer is
C, given from the following coordinates given we can affirmatively say its C.
P.S
Have an Amazing day abycflo! I Hope this Helps and Good Luck!
~Faker/Tosrel
Can someone please help me
The first error was made in step 1
The correct quotient should be 31
Explanation: I sent a picture below showing how to do long divison, I was not able to do it on paper, sorry.
I hope this helps!
Dean's class took a field trip to the art museum. They left school at 11:45 A.M. It took them 45 minutes to drive to the museum. They stayed at the museum for 1 hour and 30 minutes. What time was it when Dean's class left the museum?
Answer:
2:00 p.m.
Step-by-step explanation:
driving to the museum is 12:30
then they sped 1 hour and 30 minutes
Find the length of the second base of a trapezoid
with one base measuring 15 feet, a height of
7.6 feet, and an area of 98.8 square feet.
A. 9 ft
B. 10 ft
C. 11 ft
D. 12 ft
Answer:
11 ft
Step-by-step explanation:
The area of a trapezoid is given as:
A = ½(a + b)h
Where a = length of one base of the trapezoid = 15 ft
b = length of the second base of th trapezoid
h = height of the trapezoid = 7.6 ft
When the area is 98.8 ft², the length of the second base will be:
98.8 = ½(a + 15) * 7.6
2 * 98.8 = (a + 15) * 7.6
197.6 / 7.6 = (a + 15)
26 = (a + 15)
=> a = 26 - 15 = 11 ft
The length of the second base if the trapezoid is 11 ft.
Help please I need a quick answer
Answer:
I think its C
Step-by-step explanation:
Pls someone explain to me how to do these problems and step by step explanation pls
Answer:
Option 1
Step-by-step explanation:
This is because in inequalities, the closed circle means greater/less than or equal to and the open circle means greater/less than. Since there is no line under the inequality, it is less than, therefore you need to use an open circle.
What would the equation be? First to ACTUALLY answer will be marked brainliest!! Plz and thank you
Answer:
y = 0.50 + 8
Step-by-step explanation:
The slope is .50 and the y-intercept is 8
y-int is the initial cost before adding toppings.
slope represents the cost of each topping.
Help me So the question is Enter the value for X that makes the equation -2x + 10 + 4x = 70 true
Answer:
30
Step-by-step explanation:
70-10 is 60 because you take it to the other side
then 4x minus 2x is 2x
then 2 divided by 60 is 30
so x=30
hope this helps!
Answer: X = 30
-2x + 10 + 4x = 70
-2x + 4x + 10 = 70
2x + 10 = 70
so the result is X = 30
its true
hope i helped
You pick a card at random. Without putting the first card back, you pick a second card at random.
(the numbers below are the cards)
6
7
8
9
What is the probability of picking a 7 and then picking a number greater than 7?
Write your answer as a fraction or whole number.
The probability of picking a 7 and then picking a number greater than 7 is 1/6.
What is probability?Probability is the likelihood of the occurrence of an event.
Sample space = {6 or 7 or 8 or 9}
So, favorable outcomes =1( we need 7)
Total outcomes = {6, 7, 8, 9} i.e. 4
So, the probability of picking a 7 in the first pick = 1/4
After the first pick, Sample space = {6 or 8 or 9}
So, favorable outcomes =2( we need 8>7 or 9>7)
Total outcomes = {6, 8, 9} i.e. 3
So, the probability of picking an 8 or 9 in the second pick = 2/3
Total probability = 1/4 * 2/3
Total probability = 1/6
Hence, the probability of picking a 7 and then picking a number greater than 7 is 1/6.
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Which of the following functions is equal to cos(90 - a)
A. Sec(a)
B. Tan(90 - a)
C. Csc(90 - a)
D. Sin (a)
Answer:
i think C
Step-by-step explanation:
Answer:
It's D sin(a)
Step-by-step explanation: