The option that is the correct form after substituting a, b, and c into the quadratic formula is; x = (-7 ± √(7² - 4·(1)·(8)))/((2)·(1))
What is the quadratic formula?The quadratic formula which can be used to solve the quadratic equation of the form f(x) = a·x² + b·x + c = 0
The quadratic formula is; x = (-b ± √(b² - 4·a·c))/(2·a)
The quadratic equation x² + 7·x + 8 = 0, evaluated using the quadratic formula can be expressed as follows;
The values of a, b, and c obtained from the specified quadratic equation are; a = 1, b = 7, and c = 8, therefore;
x = (-7 ± √(7² - 4×1×8))/(2×1)
The correct option is therefore; x = (-7 ± √(7² - 4×1×8))/(2×1)
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what is 57.82 ÷ 0.784 (show ur work long divison)
Answer:
73.75
Step-by-step explanation:
\(\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:1000\)
\(\frac{57820}{784}\)
\(\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 784\overline{|\smallspace57820}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace4\emptyspace8\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace9\emptyspace4\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}\)
\(\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{57.82}{0.784}\:\mathrm{is}\:73.75\)
Hence, the correct answer is 73.75
what is 625.842 rounded to the nearest tenths
Answer:
625.8
Step-by-step explanation:
your welcome
Answer:
625.8
Step-by-step explanation:
a tenth is the first decimal place after the decimal, if there's a five next to it then you can add a number to that place, but since both of the numbers next to the tenth are under 5, we don't add an extra number to it, making the answer 625.8
if one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k
Answer:
Step-by-step explanation:
hello :
if x1 and x2 this zero for ax²+bx+c you have : x1 = 1 /x2 means :x1 × x2 =1
but : x1 × x2 = c /a
in this exercice : a =8 and b = -13 and c = - 4k
so : c/a =-4k/8
so : -4k/8 = 1
-4k = 8 k = 8/-4 k = -2
this polynomial is : 8x²-13x +8
Nancy deposits $2500 into an investing account that pays 6. 1% annual interest compounded quarterly. What will be the balance
after 10 years? Round to the nearest cent
Answer:
Step-by-step explanation:
i = prt (interest = principal x rate x time)
i = 2500 x 0.061 x 10
i = $1525 interest
balance = principle + interest
balance = 2500 + 1525
balance = $4025 balance
Brainless if answer correct
Answer:
3 1/5 inches
Step by Step Explanation:
4/5 * 4 = 16/5
16/5 as a mixed number is 3 1/5.
The answer is 3 1/5 inches hope this helps!!
Answer:
i would say 3 1/5
Step-by-step explanation
3(x + 2) = 2x + 5 justification/ reason
Answer:
x = -1
Step-by-step explanation:
3(x + 2) = 2x + 5
Use the distributive property on the left side.
3x + 6 = 2x + 5
Subtract 2x from both sides. Subtraction property of equality.
x + 6 = 5
Subtract 6 from both sides. Subtraction property of equality.
x = -1
Answer: 1
Step-by-step explanation: 3(x+2)=2x+5
3x+6=2x+5
-3x -3x
6=1x+5
-5 -5
1=1x
Based on the receipt, what is the sales tax rate in sacramento, california? 6.25 percent 8.5 percent 10 percent 10.85 percent
The sales tax rate in Sacramento, California is 8.5%
sales tax can be found using the formula:
sales tax = Tax / Subtotal x 100%
Solving gives:
sales tax = 0.85 / 10 x 100%
sales tax = 8.5%
In conclusion, the sales tax rate is 8.5%.
What is sales tax?A sales tax is a fee that is paid to the government when specified goods and services are sold. Typically, laws permit the vendor to charge the customer the tax at the time of purchase.Use taxes are typically used to describe taxes on goods and services that consumers pay directly to a governing authority. The sale and use tax is frequently exempted for some goods and services, including food, education, and medical. A sales tax is similar to a value-added tax (VAT) that is levied on products and services.To learn more about sales tax with the given link
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1
What is the perimeter of a rectangle with a length of 8 feet and a width of 6:
6² feet?
6
14. feet
9
○ 16²/2
16 feet
O 29 feet
29-
6
O 3
48- feet
18
The perimeter of a rectangle with given length and width is 28 feet.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Given that, length of a rectangle = 8 feet and the width of a rectangle = 6 feet.
Here, perimeter= 2(8+6)
= 2×14
= 28 feet
Therefore, the perimeter of a rectangle is 28 feet.
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Can you remember why a perfectly competitive firm faces a perfectly elastic demand curve?.
Since they take prices rather than setting them, fully competitive enterprises must deal with a completely elastic demand curve.
What is competitive firm?
A perfectly competitive firm is a price taker, which means that it must accept the equilibrium price at which it sells goods. If a perfectly competitive firm attempts to charge even a tiny amount more than the market price, it will be unable to make any sales.
Since they take prices rather than setting them, fully competitive enterprises must deal with a completely elastic demand curve. They are so unable to alter the market selling price. In order to raise its income, a perfectly competitive firm will therefore increase output rather than pricing.
A totally competitive firm is unable to arbitrarily set its output price since it must accept the price set by the product's market demand and supply. As an alternative, the perfectly competitive firm can decide to sell any amount of output for the same price. Because customers are eager to purchase any quantity of the company's output at the market price, it follows that the firm must deal with a completely elastic demand curve for its product. The quantity that the perfectly competitive firm decides to produce, combined with the prices that are in effect on the market for inputs and outputs, will determine the firm's total revenue, total costs, and eventually the level of profits.
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Mr. Dash bought a used car. He plans to drive it every day to work. The equation to the data is y = 20x + 30,000. How many miles does Mr. Dash drive each day?
Answer:
He plans to drive it every day to work. The equation to the data is y = 20x + 30,000. How many miles does this car have when Mr. Dash bought .-by-step explanation:
Farmer Bob needs to build a fencing for his poultry farm 40 metre long and 20 metre wide. What is the total length of fencing needed? Write the formula to find the answer.Required to answer.
Answer:
120 meters
Step-by-step explanation:
Bob's land is a rectangle, so it has 2 long and 2 short sides. The Long side is 40 meters long, and the short side is 20 meters long.
Let's add them: 40 + 20 = 60 meters
Since we have 2 of those sides, we will multiply it by 2 which we can demonstrate as
60 meters * 2 = 120 meters
"The solution to the system is (#,#)." I'm really tired and for my life don't know the solution. Help please!
Answer: (4,-5)
Step-by-step explanation:
8y = -40
(divide by 8)
y = -5
(plug it in to one of the equations)
3x + 6*-5 = -18
3x + -30 = -18
3x = 12
x = 4
What is the missing statement in the proof? Scroll down to see the entire proof.
Given: ∆ABC with m∠ABC = 90°
A right triangle A B C.
Prove: AB2 + BC2 = AC2
Statement
Reason
1. Draw view diagram.
A right triangle A B C. Point D is at the midpoint of side A C. A line runs from D to B to form two right triangles A B D and D B C.
construction
2. ∠ ABC≅ ∠BDC
Angles with the same measure are congruent.
3.
Reflexive Property of Congruence
4. ∆ABC ~ ∆BDC
AA criterion for similarity
5.
Corresponding sides of similar triangles are proportional.
6. BC2 = AC × DC
cross multiplication
7. ∠ ABC ≅ ∠ADB
Angles with the same measure are congruent.
8. ∠ BAC ≅ ∠DAB
Reflexive Property of Congruence
9. ∆ABC ~ ∆ADB
AA criterion for similarity
10.
Corresponding sides of similar triangles are proportional.
11. AB2 = AC × AD
cross multiplication
12. AB2 + BC2 = AC × AD + AC × DC
addition
13. AB2 + BC2 = AC(AD + DC)
Distributive Property
14. AB2 + BC2 = AC × AC
segment addition
15. AB2 + BC2 = AC2
multiplication
A.
∠ BDC ≅ ∠ADB
B.
∠BCA ≅ ∠DCB
C.
∠ BAC ≅ ∠BAD
D.
∠ DBC ≅ ∠BAC
Answer:
Step-by-step explanation:
Option A: ∠ BDC ≅ ∠ADB is the missing statement in the proof.
This statement is needed to complete the proof by showing that triangles ∆ABC and ∆ADB are similar by the AA criterion.
Which of the following points could not
be a y-intercept?
(0-2)
(0,9)
(0,0)
(4,0)
Answer:
Step-by-step explanation:
Answer:
(4,0)
Step-by-step explanation:
y intercepts must be on the y acis (0, x), so 4 would not be possible for a y intercept
The ratio of fiction books to non-fiction books in Roxanne's library is 7 to 4 if roxxanne owns 182 fiction books, how man non-fiction books does she own
Answer:
Step-by-step explanation:
let she have x non fiction books
ratio of fiction books to non fiction books is 7:4
7/4=182/x(do cross multiplication)
4*182=7*x
728/7=x
104=x
therefore she has 104 non fiction books
The number of non-fiction books read by Roxanne is 104.
What is the application ratio and proportion?
A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The ratio of fiction books to non-fiction books is 7 : 4.
The number of fiction books is 182.
Suppose the number of non-fiction books be x.
Then, 7 : 4 = 182 : x
=> 7/4 = 182/x
=> x = (182 × 4)/7
= 104
Hence, the number of non-fiction books read is 104.
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To find the groups profit subtract cost from income how much profit has the group earned from muffin sales so far
Solution'
To find the groups profit:
The formula for profit = Total income - Total cost
Cost of the muffin sales = since it cost $3.50 to bake a muffin
1 dozen = 12 (3.50) = $42
For a youth group of 15
The total cost of sales = 15 x 42 = $630
profit = total income - total cost
Profit = $1035 - $630
Profit = $405
A selection method is said to have utility when it 0 out of 1 points Which one of the following is the best example of a behavioral (or work sample) question? uestion 3 1 out of 1 points Artificial intelligence (AI) is sometimes used to analyze a candidate's psychological profile to whether it will fit Question 4 0 out of 1 points Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer
Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...
This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.
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Jennifer opened a savings account a year ago. Her savings account earned $12 in interest and now has a balance of $1012. What was her initial investment (principal)?
Answer:
I think its $1000
Step-by-step explanation:
if she earned $12 the 1012-12=1000
Answer:
I really don't know much but this is what I know
If she has $12 dollars in interest and a year later she has $1012 making it so she earned EXACTLY $1,000 in the time being.
Solve the following quadratic equation for all values of x in simplest form.
3(x-5)^2=33
The value of x for the given quadratic expression is x = 5 ± √11.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 3(x-5)²=33. The value of x will be calculated as,
3(x-5)²=33
(x - 5 )² = 11
(x - 5 ) = ±√11
x = 5 ± √11
Therefore, the value of x for the given quadratic expression is x = 5 ± √11.
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an airline requires that the total outside dimensions (length width height) of a checked bag not exceed 77 inches. suppose you want to check a bag whose height equals its width. what is the largest volume bag of this shape that you can check on a flight? (round your answers to two decimal places.) length in width in height in
The largest volume of the bag when an airline requires that the total outside dimensions (length width height) of a checked bag not exceed 77 inches is 16,513.72 inches³
the maximum volume can be calculate as follow :
let the length is L
L+W+W= 77
L= 77- 2W
so Volume, V = LWH
V= (77-2W) x W xW
V = 70 W²- 2W³
V' = 140 W- 6 W²
set to 0
140 W- 6 W² =0
factorize
W( 140- 6W) =0
split them
W= 0 or 140-6W =0
the width can't be 0 so we have,
140 = 6W
W = 23.33 inches
so the maximum volume is
V= LxWxH
V= (77-2W) x W xW
V =(77- (2) 23.33) x 23.33 x 23.33
V= 30. 34 x 23.33 x 23.33
V = 16,513.72 inches³
therefore, The largest volume of the bag is 16,513.72 inches³
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The hypotenuse of right angle triangle is 13cm. If one of the other side of the triangle is 1cm shorter than the hypotenuse, calculate the third side of the triangle
Greetings from Brasil....
From Pythagoras we have
AB² = AC² + BC²
13² = 12² + X²
X = 5Answer:
5 cm
Step-by-step explanation:
Pythagoras theorem gives us:
\(hypotenuse^{2} = side^{2} + side^{2}\)
We know the hypotenuse is 13 cm.
We know one side is 12 cm.
\(13^{2} = 12^{2} + side^{2}\)
\(169= 144 + side^{2}\)
Subtracting 144 from both sides:
\(25 = side^{2}\)
Reversing the sides:
\(side^{2}=25\)
\(\sqrt{side^{2}}= \±\sqrt{25}\)
\(side = \±\sqrt{25}\)
\(side = \±5\)
Since a distance can't be negative:
\(side=5\)
The third side is 5 cm.
Find the number of diagonals in a regular polygon with 7 sides
Answer:
To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n - 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).
Step-by-step explanation:
Write the number 352 in expanded form. *
yar
answer
Tasha is trying to solve 1 ⅙ - ⅚. She says it’s impossible because you only have ⅙, so you can’t take away ⅚. Explain how Tasha can solve this problem. Please help me
Tasha can make 1 1/6 an improper number making 1 1/6=7/6. Then she can subtract 7/6-5/6, which is 2/6. Simplified 1/3.
Now it's not impossible! ;D
a frequency distribution in which high scores are most frequent (i.e. bars on the graph are highest on the right hand side) is said to be:
A frequency distribution in which high scores are most frequent is said to be positively skewed or right-skewed.
In statistics, skewness refers to the asymmetry of a probability distribution. A frequency distribution is said to be positively skewed or right-skewed if the majority of the data is concentrated on the right side of the distribution, while a few high values are outliers on the right tail. The frequency distribution will look like a graph that is shifted to the right with a longer tail on the right side.
Positive skewness means that the mean (average) of the data will be higher than the median (middle value). The median is a more robust measure of central tendency than the mean in a positively skewed distribution, because it is not influenced by the outliers on the right tail.
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The sail of a boat is in the shape of a right triangle. which expression shows the length, in meters, of the sail? the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long. 7(tan 50°) 7(sin 50°) tangent 50 degrees over 7 sine 50 degrees over 7
The expression for the length of the sail is x = 7( tan 50° ).
According to the given question.
The sail of a boat is in the shape of a right triangle.
And, the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long.
Now, the side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side
And, the side which we do not know the length to will be the opposite side because it is opposite from where the angle is.
So, we have the the measure of the adjacent side and the angle of the tip. And we have to find the expression for the length of the sail.
Let the length of the sail be x meters.
Now, in the given right angled triangle
We can say that
tan A = Opposite side/Adjacent side
⇒ tan 50° = x/7
⇒ x = 7( tan 50° )
Hence, the expression for the length of the sail is x = 7( tan 50° ).
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Will mark brainliest pls help thx
If you are considering speed regardless of direction, the average speed is:
(24 + 16) / 2 = 40 / 2 = 20mph
Although if direction matters, then one number has to be negative since the directions are opposite:
(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)
Determine if each relationship is a proportional or nonproportional situation explain your reasoning
Answer:
Proportional
Step-by-step explanation:
The line is going straight up, this means while x- intercept increase y- intercept also increases making it proportional.
What is the slope of the line that passes through these two points?
The slope of the line is 3
How to determine the slope?The points are given as:
(1,-2) and (3,4)
The slope is calculated using:
\(m = \frac{y_2 -y_1}{x_2 -x_1}\)
This gives
\(m = \frac{4 + 2}{3 - 1}\)
Evaluate
m = 3
Hence, the slope of the line is 3
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Describe the graph that represents the solution to 7x > 21 or óx – 9 < 21
Answer:
A screenshot of the graph is attached. :)