Answers
Related Questions
Solve the quadratic equation by completing the square.
Answers
Answer:
x'1 = -1
x'2 = 8
Step-by-step explanation:
Answer:
x = - 1, x = 8
Step-by-step explanation:
Given
x² - 7x - 8 = 0 ( add 8 to both sides )
x² - 7x = 8
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- [tex]\frac{7}{2}[/tex] )x + [tex]\frac{49}{4}[/tex] = 8 + [tex]\frac{49}{4}[/tex] = [tex]\frac{81}{4}[/tex]
(x - [tex]\frac{7}{2}[/tex] )² = [tex]\frac{81}{4}[/tex] ( take the square root of both sides )
x - [tex]\frac{7}{2}[/tex] = ± [tex]\sqrt{\frac{81}{4} }[/tex] = ± [tex]\frac{9}{2}[/tex] ( add [tex]\frac{7}{2}[/tex] to both sides )
x = [tex]\frac{7}{2}[/tex] ± [tex]\frac{9}{2}[/tex]
Thus
x = [tex]\frac{7}{2}[/tex] - [tex]\frac{9}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
x = [tex]\frac{7}{2}[/tex] + [tex]\frac{9}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8
What's the difference of 9.37 and 0.06?
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. Vacation Days If the average number of vacation days for a selection of various countries has a mean of 29.4 days and a standard deviation of 8.6, find the z scores for the average number of vacation days in each of these countries.
Answers
Answer:
For Canada = -0.3953
For Italy = 1.46511
For USA = -1.9069
Step-by-step explanation:
Given:
Mean μ = 29.4 days
Standard deviation σ = 8.6
Missing Data
For
Canada = 26 days
Italy = 42 days
USA = 13 days
Find:
Z scores
Computation:
Z scores = [X-μ]/σ
For Canada
Z scores = [26-29.4]/8.6
Z scores = -0.3953
For Italy
Z scores = [42-29.4]/8.6
Z scores = 1.46511
For USA
Z scores = [13-29.4]/8.6
Z scores = -1.9069
Which expression is equivalent to (2.9)4? HELP ASAP
Answers
Answer:
2^4 * 9^4
Step-by-step explanation:
(2*9)^4
We can take the power to each term inside the parentheses
2^4 * 9^4
A football field is 300ft long a sloth moving very quickly travels 60ft every 5 minutes based on this ratio how many minutes would it take a sloth to travel the length of a football field
Answers
Answer:
25 minute
Step-by-step explanation:
Speed is the ratio of the total distance traveled to the total time taken to reach this distance. The formula for speed is:
Speed = total distance / total time taken
The total distance covered by the sloth = 60 ft, and the time taken = 5 minutes, hence:
Speed = total distance / total time taken
speed of the sloth = 60 ft / 5 minutes = 12 ft per minute.
We can calculate the time taken for the sloth to travel the length of the football field (i.e. 300 ft)
speed = distance / time
12 ft/minute = 300 ft / time
time = 300 ft / (12 ft/minute)
time = 25 minute
Which graph represents the function fx) =|x–4?
Answers
The image below shows the graph f(x) = |x| – 4
Hope this helps! :)
3 students wrote expressions of their dry erase boards.
Student 1 - (5r - 3s +1)
Student 2 -5r + 3s + 1
Student 3 -5r + 3s - 1
Which of these students wrote equivalent expressions?
A. Student 1 and Student 3
B.Student 2 and Student 3
C. Student 2
D. Student 3
Answers
Answer: Students 1 and 3
Step-by-step explanation:
student 1=
- (5r+3s-1)=
-5r+3s-1=
the same answer as student 3
100 POINTS!
Factor [tex]\frac{7x^{2} + 11x -6}{x^{2}-4}[/tex]
Show your work, please!
Answers
Answer:
Following is the required answer for your question.
Thank you!
The force required to compress a spring varies directly as the change in the length of the spring. If a force of 15 pounds is required to compress a certain spring 5 inches, how much force is required to compress the spring 8 inches?
Answers
The equation will be F = 3x. Then the force required to compress the spring 8 inches will be 24 pounds.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A spring's length directly relates to the amount of force needed to compress it.
Let F be the force and x be the compressed length. Then the equation will be
F ∝ x
F = kx
If a force of 15 pounds is required to compress a certain spring 5 inches. Then the value of the variable k will be
15 = 5k
k = 15/5
k = 3 pounds per inch
Then the equation will be
F = 3x
The force required to compress the spring 8 inches will be
F = 3 (8)
F = 24 pounds
The force required to compress the spring 8 inches will be 24 pounds.
More about the ratio and the proportion link is given below.
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Y = -3x - 2 and 5x + 2y = 15
Answers
Answer:
(-19, 55)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = -3x - 2
5x + 2y = 15
Step 2: Solve for x
Substitution
Substitute in y: 5x + 2(-3x - 2) = 15Distribute 2: 5x - 6x - 4 = 15Combine like terms: -x - 4 = 15Isolate x term: -x = 19Isolate x: x = -19Step 3: Solve for y
Define original equation: y = -3x - 2Substitute in x: y = -3(-19) - 2Multiply: y = 57 - 2Subtract: y = 55Simplifyyyyyyyyyyyyyyyyy
Answers
Answer:
Here ya go:
Step-by-step explanation:
Answer:
ok, yea, the above answer is correct
Step-by-step explanation:
Just answer no worker needed to show
Answers
Answer:
Therefore, the correct answer is 24,069,100.
Step-by-step explanation:
(6.91 x 10^4) = 6.91 x 10,000 (10 x 10 x 10 x 10) or 69,100.
(2.4 x 10^7) = 2.4 x 10,000,000 (10 x 10 x 10 x 10 x 10 x 10 x 10) or 24,000,000.
24,000,000 + 69,100 = 24,069,100
Therefore, the correct answer is 24,069,100.
Hope this helps! :D
A package of 15 batteries cost $14.25 what is the cost per battery
Answers
Answer: $0.95 per battery
Step-by-step explanation: Divide 14.25 and 15.
At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings?
Answers
15%
Explaination according to zehtmnt who also answered this question by another person:
You have to do a proportion
12. = x
80 100 and u have to cross multiply
80x = 1200
80. 80
The residuals for data set A and data set B were calculated and plotted on
separate residual plots. If the residuals for data set A form a pattern and the
residuals for data set B do not form a pattern, what can be concluded?
Answers
Answer:
The answer is A linear model is a good fit for data set b but not data set a
Step-by-step explanation:
It can be concluded that data set A is linear, and data set B is not linear.
What is regression line?A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. If [Y] is the dependent variable and [X] is the independent variable, the [Y] on [X] regression line equation is represented as follows:[Y] = a + b[X] + ɛ
Given is that residuals for data set A and data set B were calculated and plotted on separate residual plots.
If the residuals for data set [A] form a pattern and the residuals for data set [B] do not form a pattern than it can be concluded that data set A is linear, and data set B is not linear.
To solve more questions on regression line, visit the link below -
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At a theme park, the ticket price for children is c for adults is $17 more than that. Write an expression to show the cost of tickets for 2 adults and 5 children. Simpilfy the expression.
Answers
Answer:
Cost is 7c+34.
Step-by-step explanation:
2(c+17) + 5c
=2c+34+5c
=7c+34
What is the answer to this
Answers
Answer:
I believe it is c
Answer:
c is the correct answer
Write an expression, using an exponent, that is equivalent to 8×8×8×8
Answers
Answer:
8 to the power of 4
Step-by-step explanation:
since their are four 8, (8x8x8x8) , you have to put that into an exponent
still need proof?
8x8x8x8=4096
8 to the power of 4 = 4096
so to conclude, 8 to the power of 4 is the same thing as saying 8x8x8x8, it is jsut the exponent version
HELP PLS. Probability. In a game a spinner will land on red 35% of the time, yellow 40% of the time, and blue 25% of the time. If the spinner is spun three times, find the following probabilities.
Answers
Explain how to find 40x80 using mental math
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so 40 * 80 = 3,200
4 * 8 = 32
Then add the two 0's to the end
so 3,200
Answer:
The best way to solve 40x80 using mental math is to break down the problem.One example would be to solve 4x8 then add the two zeros to your answer to get 3200.
Step-by-step explanation:
A shirt was marked down 25% which means you saved $15. What was the original cost of the shirt? What is the new price?
Answers
is 12,43 a solution of y =3x+7
Answers
Answer:
Yes it is
Step-by-step explanation:
Please help very important!!!! ( dont steal or guess) (I will give brainiest if you have proof)
Answers
Answer:
[tex]A) AA[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that\\\The\ Angles\ of\ \triangle 1,\ are\ 40, 100\\The\ Angles\ of\ \triangle 2\ are\ 40, 40\\The\ Hence,\\Through\ Angle\ Sum\ Property\ Of\ A\ Triangle, \\The\ Angles\ of\ \triangle 1,\ are\ 40, 100,40\\The\ Angles\ of\ \triangle 2\ are\ 40, 40,100\\\\As\ we\ can\ observe\ that\ all\ ANGLES\ of\ the\ triangles\ correspond, \\through\ AA\ Similarity\ Postulate. which\ states\ that\ if\ two\ triangles\ have\ two\\ or\ more\ corresponding\ angles,\ the\ triangles\ are[/tex]
[tex]SIMILAR[/tex]
Justin's new music player has more than 50 songs
but less than 90 songs. The number of songs is 3
more than a multiple of 5. It is also 2 more than a
multiple of 6. How many songs are on the player?
Answers
The volume of a glass container is given to be 2x3+9x2-11x-30. If the height of the glass
container is given to be x - 2, what are the dimensions of the rectangular base of the glass
container?
Answers
Answer:
d
Step-by-step explanation:
if ummm its d
A nurse has a patient's prescription for ciclosporin of 10mg/kg, it means, 10 milligrams of ciclosporin for each kilogram of the patient's weight.
If the child’s weight is 26.4 pounds, how many milligrams of ciclosporin must the nurse give to the child?
Answers
Answer:
119.75mg
Step-by-step explanation:
Convert pounds to kg and then multiply by 10 and round to the nearest tenth
10) Find x ifm/LMP = x+73, m/LMN = 152°, and m/PMN = 81 + x. L P M N
Answers
Answer: x=-1°
Step-by-step explanation:
m∠LMP=x°+73° m∠PMN=81°+x° m∠LMN=152° x=?
m∠LMP+m∠PMN=m∠LMN
x°+73°+81°+x°=152°
2x°+154°=152°
2x°+154°-154°=152°-154°
2x°=-2°
Divide both parts of the equation by 2:
x°=-1°
BRAINLIEST IF YOU ANSWER
Answers
Answer:
34.5 ft squared
Step-by-step explanation:
Split the figure into a triangle and two rectangles. The two vertical lines on the figure already do that. The triangle's area is 3*3/2 because 8 - 3 - 2 = 3 is the base and the height is 3. Use b * h/2. The area of the smaller rectangle is 2 *3. The area of the larger rectangle is 8 * 3. Add the areas up: 4.5 + 6 + 24 = 34.5.
Can I get help on 1 and 2
Answers
Answer:
1.the slope is 1/2 and the y int is -4
2.the slope is -3 and the y int is 6
Which shows the correct solution of the equation 1/2a+2/3b=50 , when b=30
Answers
The solution to the equation 1/2a + 2/3b = 50 when b = 30 is a = 60
How to determine the correct solution of the equation?The equation is given as
1/2a + 2/3b = 50
The value of b is given as
b = 30
So, we have
1/2a + 2/3 * 30 = 50
Evaluate the product
So, we have
1/2a + 20 = 50
Evaluate the like terms
So, we have
1/2a = 30
Multiply both sides by 2
a = 60
Hence, the solution to the equation 1/2a + 2/3b = 50 when b = 30 is a = 60
Read more about equations at
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