Answer:
[tex](x-9.291)\cdot (x + 1.292)[/tex]
Step-by-step explanation:
The factors of the given polynomial ([tex]x^{2}-8\cdot x - 12[/tex]) are derived from the General Formula for Second-Order Polynomials:
[tex]x = \frac{8 \pm \sqrt{64 - 4\cdot (1)\cdot (-12)}}{2\cdot (1)}[/tex]
[tex]x_{1} \approx 9.291[/tex] and [tex]x_{2} \approx -1.292[/tex]
The factors of the polynomial are:
[tex](x-9.291)\cdot (x + 1.292)[/tex]
Answer:
The answer is prime.
Step-by-step explanation:
x2 – 8x – 12
We need two numbers which are factors of 12 such that their product is -12 and their sum is -8. The factors are 1, 2, 3, 4 and 6 but no two numbers satisfy the requirements of summing up to -8 and product of -12.
Therefore the equation is a prime as it has no factor
We can also check if the equation has a factor using the formula for general quadratic equation of ax² + bx + c = 0, the formula is;
(b² - 4ac)
If the answer is a perfect square only then we can factorize the equation.
In the given equation x² - 8x - 12
b = -8 and c = -12
b²- 4ac = (-8)² - 4(1)(-12) = 64 + 48 = 112
Since 112 is not a perfect square number, we can say there is no factors for the given equation.
which is the outlier in this set of values?
65 70 56 45 59 67 62
Answer:
45
Step-by-step explanation:
Listing the numbers in order,
45 56 59 62 65 67 70
45 is 10+ digits away from the followed number compared to the rest of corresponding digits. As 56 (+3) to get to 59, or 65 (+2) to get to 67. 45 has the highest gap in the sequence.
45 is the outlier
ASAP PLEASE HELP MEEEEE
A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season, the clinic saw 75 patients. In week 10 of flu season, the clinic saw 50 patients. Assume the reduction in the number of patients each week is linear. Write an equation in function form to show the number of patients seen each week at the clinic.
A.fx=5x+100
B.fx=-5x+100
C.fx=25+75
D.fx=-25+75
Answer:
85 flu patients Per week so A
Step-by-step explanation:
Final answer:
Using the two given points during the flu season, we calculate the slope of the reduction in patients per week and use one of the points to find the y-intercept. The resulting linear equation representing the number of patients seen each week at the clinic is f(x) = -5x + 100, which corresponds to option B.
Explanation:
To find the function that represents the number of patients seen each week during flu season at a medical clinic, we can use the two data points provided: In week 5, there were 75 patients (point 1: (5, 75)), and in week 10, there were 50 patients (point 2: (10, 50)). The goal is to find a linear equation of the form f(x) = mx + b, where m is the slope of the line and b is the y-intercept.
First, we find the slope (m) using the formula:
m = (Y2 - Y1) / (X2 - X1)
Substituting the given values, we get:
m = (50 - 75) / (10 - 5) = -25 / 5 = -5
Now we use one of the points to find the y-intercept (b).
Using point (5, 75):
75 = (-5)(5) + b
75 = -25 + b
b = 75 + 25
b = 100
So the equation of this function in function form is:
f(x) = -5x + 100
Therefore, the correct option is B. f(x) = -5x + 100.
Each of 7 students reported the number of movies they saw in the past year. Here is what they reported.
18,11,15,12,5,16,5
Find the mean number of movies that the students saw. If necessary, round your answer to the nearest tenth.
(The answer is not 8.6)
Answer:
I believe the answer is, 11.75.
-Hope this helps!
Step-by-step explanation:
To find the mean, you must add up all your data and divide it by how many people there are. So, all the numbers added together is, 82. Since there are seven kids, you would divide 82 by 7. Which equals, 11.75: (Simplified).
Find a numerical value if one trigonometric function of x if tan2x-sin2x/sin2x=5
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
The question asks to find a trigonometric value for x given a trigonometric equation. Clear solution steps cannot be provided due to ambiguity in the equation's presentation. Normally, one would use trigonometric identities or methods like Newton's method to find x.
Explanation:The question requires us to find a numerical value of one trigonometric function of x given the equation tan2x - sin2x/sin2x = 5. Although the provided reference text contains various trigonometric contexts, it lacks direct relation to solving the given equation.
In order to solve for x, one would typically aim to manipulate the equation into a standard trigonometric identity or apply techniques such as Newton's method if handling a more complex algebraic expression involving trigonometric functions.
To tackle the given trigonometric equation, we would ideally express tan2x in terms of sin2x and cos2x using the identity tan2x = sin2x/cos2x, thus simplifying the equation and allowing us to isolate and solve for x.
Unfortunately, there is an ambiguity in the equation presented in the question (lack of clear parentheses), and so a definitive solution cannot be provided without clarification.
Find the degree of the monomial 23x^4
Answer:
The degree of the monomial is 4.
4 - 2x = 10 plz solve
Answer:
x=7
Step-by-step explanation:
Opposite of subtraction is adding so you do 4+10=14 so that means that x equals seven because 2x7 equals 14.
Subtract:
(–65) – (–29)
Question 6 options:
A)
–36
B)
–94
C)
36
D)
94
Answer:
The answer is A, -36. Two negatives make a postitive.
Step-by-step explanation:
Look at the image to answer.
Answer:
Yes
Step-by-step explanation:
Given that the area of the square floor is 400, we can find the side length because A = x^2 = 400. So, the side length is just the square root of 400 = 20.
Now, we are increasing the length of each side by 21 so that now the dimensions are 21 ft by 21 ft. We multiply these to get the area: 21 * 21 = 441.
Rational numbers are those that can be written in the form p/q, where q ≠ 0. Here, we can write 441 as 441/1, so yes, the new area is a rational number.
Hope this helps!
The bottom floor of a parking garage is an elevation of -36 feet. The top floor is 124 feet higher. What is the elevation of the top floor?
Answer: 88 feet.
Step-by-step explanation: For this problem, to find the elevation of the top floor we will simply subtract 36 feet from 124 feet, or we could add -36 feet to 124 feet.
124 + (-36) Is like subtracting 124 - 36.
So, 124 + (-36) = 88
This means that the elevation of the top floor is 88 feet.
1: In which equation does m have the same value as in the equation above?
A: 0.6228 = 0.72m
B: 6.228 = 72m
C: 6,228 = 72m
D: 6,228 = 720m
2: A bakery makes fresh bagels each morning. On Saturday, the bakery sold 60 bagels between 8:00 AM and 10:00 AM, which was 3/5 of the total number of bagels they sold that day. When the bakery closed on Saturday, they had 25 bagels left from that morning’s batch that they did not sell. These leftover bagels were what percentage of the bagels that the bakery made on Saturday?
3: Tickets for a pancake breakfast cost $10. Which equation shows the relationship between the number of tickets, t, and the total cost, c, of the breakfast tickets?
A: c=10t
B: t=10c
C: c=10+t
D: t=10+c
Answer:
1. D
2. 20%
3. A
Step-by-step explanation:
1.
[tex]7.2m = 62.28 \\ m = \frac{62.28}{7.2} = 8.65 \\ since \: m = 8.65 \\ 720m = 6228[/tex]
2.
[tex]since \: 60breads \: is \: \frac{3}{5} of \: total \: bread \: sold \\ total \: sold \: = \frac{60 \times 5}{3} = 100breads \\ at \: the \: end \: of \: the \: day \: 25 \: breads \: were \: not \: sold \\ total \: breads \: made \: = 100 + 25 = 125breads[/tex]
[tex]to \: find \: percentage \: of \: bread \: not \: sold \\ \frac{number \: not \: sold}{total \: number \: made} \times \frac{100}{1} \\ \: \frac{25}{125} \times \frac{100}{1} = 20\%[/tex]
3.
C= 10t
Answer:
A is the answer (o|o) (o|o) (o|o)
Step-by-step explanation:
Divide:
–112 ÷ 7
Question 9 options:
A)
–1∕16
B)
–16
C)
–784
D)
16
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
a (positive 7 is less than half of -112)
c (-784 is way big than -112 and 7)
d (it can't be a positive because the negative number is bigger than the positive number in the equation)
Hope this helped (if you can you make me brainliest and answer my latest question)
10) Solve the system by the elimination method. Check the solution.
x + 2y = 6
-x + 5y = 8
Answer:
x =2, y = 2
Step-by-step explanation:
[tex] x + 2y = 6....(1) \\
-x + 5y = 8....(2) \\ adding \: equations \: (1) \: and \: (2) \\
x + 2y = 6\\
-x + 5y = 8 \\ - - - - - - - \\ 7y = 14 \\ y = \frac{14}{7} \\ \huge \red{ \boxed{ y = 2}} \\ substituting \: y = 2 \: in \: equation \: (1) \\ x + 2 \times 2 = 6 \\ x + 4 = 6 \\ x = 6 - 4 \\\huge \purple{ \boxed{ x = 2}} \\ \\ \huge \orange{ \boxed{(x, \: y) = (2, \: 2)}}[/tex]
With a tailwind, a aircraft can fly 360 miles in 3 hrs. Against this same wind, the aircraft can fly the same distance in 4hrs. Find the effect of the wind and the average of the aircraft
Answer:
15mph
Step-by-step explanation:
360 divide by 3 = 120
360 divide by 4 = 90
120 - 90 = 30
30 divide by 2 (cause boosting speed and drag) = 15
so let's check
120-15=105
105+15=120
105-15= 90
so the answer's 15.
To find the effect of the wind and the average speed of the aircraft, set up a system of equations and solve them simultaneously. The effect of the wind is a speed of 15 mph and the average speed of the aircraft is 105 mph.
Explanation:To find the effect of the wind and the average speed of the aircraft, we can set up a system of equations. Let's denote the speed of the aircraft as 'a' and the speed of the wind as 'w'. With a tailwind, the aircraft can fly 360 miles in 3 hours, so we have the equation 360 = (a + w) * 3. Against the wind, the aircraft can fly the same distance in 4 hours, so we have the equation 360 = (a - w) * 4.
Now, we can solve these equations simultaneously to find the values of 'a' and 'w'. Multiplying the first equation by 4 and the second equation by 3 gives us 1440 = (a + w) * 12 and 1080 = (a - w) * 12. Subtracting the second equation from the first equation eliminates the 'w' term, giving us 1440 - 1080 = (a + w) * 12 - (a - w) * 12. Simplifying further, we get 360 = 24w. Dividing both sides by 24 gives us w = 15. Substituting this value back into one of the original equations, we can find the value of 'a'. Using the equation 360 = (a + 15) * 3, we can solve for 'a' to get a = 105.
Therefore, the effect of the wind is a speed of 15 mph and the average speed of the aircraft is 105 mph.
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Plz help me outt ASAP
Answer:
i cant see
it take a clouser pic dodo
Step-by-step explanation:
Divide.
5,323 ÷ 34
Enter your answer in the boxes as a mixed number in simplest form.
The required solution is 156 19/34.
It is required to find the solution.
What is fraction?A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.
Given:
The given fraction is
5,323 ÷ 34
= 156 19/34
Therefore, the required solution is 156 19/34.
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Shelly states that the triangle below are similar which proportion supports her statement
Answer:
8/6 = 20/15
Step-by-step explanation:
Answer:
8/6-20/15
Step-by-step explanation:
Please help! I keep getting the answer of 48 centimeters squared but according to the problem that isn't right! Please help!!!! the problem is below
The triangle below has been reduced by a scale of 0.4.
A large triangle has a base of 30 centimeters and height of 10 centimeters. A smaller triangle does not have dimensions provided.
What is the area of the reduced triangle?
A. 24 centimeters squared
B. 60 centimeters squared
C. 75 centimeters squared
D. 375 centimeters squared
Answer:
Its B
Step-by-step explanation:
30×10=300
300×.4= 120
120÷3=60
Answer:
its 24 (A)
Step-by-step explanation:
I got it right on Edgen 2020
Jane is in charge of making a banner for the basketball game this Saturday. She measures how long the
banner is before painting it. She finds it measures 10 meters
Which measurement did Jane find?
The correct answer is Length, as Jane was specifically measuring how long the banner is, which refers to the distance from one end to the other along one dimension. Hence the correct option is b.
Jane measured how long the banner is, and she found it to be 10 meters. This measurement refers to the Length of the banner.
Length: This is a measurement that refers to the extent of something from end to end. Since Jane was measuring "how long" the banner is, she was determining its length.
Area: This is a measurement of the surface covered by a shape or object, typically expressed in square units (like square meters). It would require measurements of both length and width (or any other necessary dimensions depending on the shape) to calculate area, which is not what Jane measured.
Perimeter: This refers to the total distance around the edge of a shape. To find the perimeter, one would need the length of all sides of a shape, which again, is not what Jane measured. Since the banner is likely rectangular, she would need both the length and the width, and then sum them up appropriately.
Thus, the correct answer is Length, as Jane was specifically measuring how long the banner is, which refers to the distance from one end to the other along one dimension. Hence the correct option is b.
Complete question:
Jane is in charge of making a banner for the basketball game this Saturday. She measures how long the banner is before painting it. She finds it measures 10 meters. Which measurement did Jane find? Choose 1 answer:
Area
Length
Perimeter
Estimate the area of the circle. Round to the nearest whole number. A) 3 square units B) 6 square units C) 9 square units D) 12 square units
Answer:
3 square units branliest pls
Step-by-step explanation:
The correct answer is option A. The estimated area of the circle is 3 square units.
To estimate the area of a circle, we use the formula for the area of a circle:
[tex]\[ A = \pi r^2 \][/tex]
where [tex]\( r \)[/tex] is the radius of the circle. Given that the diameter of the circle is 2 units, we can find the radius by dividing the diameter by 2:
[tex]\[ r = \frac{d}{2} = \frac{2}{2} = 1 \text{ unit} \][/tex]
Now, we substitute the radius into the area formula:
[tex]\[ A = \pi (1)^2 = \pi \][/tex]
Using the value of [tex]\(\pi \approx 3.14\)[/tex], we get:
[tex]\[ A \approx 3.14 \][/tex]
Rounding 3.14 to the nearest whole number, we get:
[tex]\[ A \approx 3 \][/tex].
The complete question is:
Estimate the area of the circle, given the diameter as 2 unit. Round to the nearest whole number.
A. 3 square units
B. 6 square units
C. 9 square units
D. 12 square units
The blue segment below is a diameter of oo. What is the length of the radius
of the circle?
O
A. 13.8 units
O
B. 3.45 units
6.9
O
c. 10.35 units
O
D. 6.9 units
The length of the radius of the circle is 3.45 unit.
What is Relationship between Radius and Diameter?We all know that a circle's radius is the distance a point on the circle's circumference travels from its centre.
The circle's diameter is a straight line that passes through its centre and has its endpoints on the circle.
Radius is therefore equal to half of diameter.
From the figure we have,
Diameter = 6.9 unit
Now, using the relation
Diameter = 2 x radius
6.9 = 2 x radius
radius = 6.9/ 2
radius = 3.45 unit
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The Wing Station wants the average price of the lunch meal deals to be $8.
Lunch Meal Deal Prices
Item
Price ($)
Deluxe hamburger
$9
Reuben sandwich
$7
Chicken wings
Chicken stir fry
$9
Cobb salad
$6
Make your own sandwich
$10
What does the price of the chicken wings need to be for this to happen?
Mark this and return
Save and Exit
Next
Submit
Answer:
The price of chicken wings need to be $7 for the average price of the lunch meal deals to be that.
Step-by-step explanation:
Please kindly check the attached files for explanation
Answer:
B.) 7$
Step-by-step explanation:
Easier explanation
A car costs €5000 + 20% vat
What's the totalk price?
someone help
Answer:
$6000
Step-by-step explanation:
20% of $5000 is $1000= 0.2 x 5000= 1000
$5000 + $1000= $6000
Hope this helps
An 18-foot ladder reaches the top of
a building when placed at an angle of
45° with the horizontal. What is the
approximate height of the building?
Answer:
810 Feet Approximately.
Step-by-step explanation:
BRAINLIST
Naomi requires 2.75 pounds of cream cheese for a cake. She has 4 ounces of cream cheese. Cream cheese is available in the store in blocks. Each block is 8 ounces. What is the minimum number of blocks of cream cheese Naomi has to buy?
Simplify.
- 2x - 5 – 5x + io + 3x
Enter your answer in the box.
Do not use decimals in your answer.
What makes Rohan the protagonist of "The Catch"?
Rohan is the most important character who opposes Ethane.
Rohan is helped by Lewess as they compete against Ethane.
Rohan is a good character, while Ethane is a bad character.
Rohan is the first character who is described in the story.
Answer:
The answer is a, rohan is the most important character who opposes Ethane.
Step-by-step explanation:
The requried, it is likely that the statement "Rohan is the most important character who opposes Ethane" is the most accurate reason for Rohan being the protagonist of "The Catch." Option A is correct
This statement suggests that Rohan plays a central role in the story and is positioned as the primary character in opposition to Ethane.
The other statements, such as Rohan being helped by Lewess and the moral evaluation of Rohan and Ethane's characters, do not necessarily establish Rohan as the protagonist but provide additional details about his relationships and qualities within the story.
The fact that Rohan is the first character described in the story does not directly determine his status as the protagonist but may indicate his significance in the narrative.
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What is x^2-5x+13=1 in standard form?
Answer:
x^2-5x+12=0
Step-by-step explanation:
This is standard form: ax^2+bx+c=0
To make zero on the side you have to subtract 1 on both sides
So the answer would be x^2-5x+12=0
Which fraction is equivalent to 1.240?
Question 1 options:
A)
180∕3333
B)
18∕333
C)
180∕333
D)
180∕33
it is not 18/333
The equivalent fraction for the decimal 1.240 is 31/25 after simplifying the initial fraction of 1240/1000. None of the provided options, A) 180/3333, B) 18/333, C) 180/333, or D) 180/33, are correct, with the closest incorrect answer being D) 180/33.
The question asks to find the fraction equivalent to the decimal number 1.240. To solve this, we can first write 1.240 as a fraction with a denominator of 1000, since there are three digits after the decimal point. This gives us 1240/1000. We can simplify this fraction by dividing both the numerator and the denominator by the greatest common divisor, which in this case is 10. Thus, the simplified fraction is 124/100. But we can simplify further by reducing the fraction to remove any common factors.
Another common factor here is 4, which when divided into both numerator and denominator, gives us the equivalent fraction of 31/25. This fraction is not listed as any of the provided options, suggesting there might be a typo or mistake in the options given. If we establish the correct fraction 31/25, none of the options A, B, C, or D match. However, Option D, 180/33, is the only option that also results in a number slightly larger than 1, but it still does not match exactly.
Betsy went bowling. She bowled 10 frames and got a score of 8 in each
frame.
Which operation would be best to find out her total score?
A. addition
B. subtraction
• c.division
D. multiplication
Answer: D. multiplication
pls brainliest
Which statement proves that quadrilateral HIJK is a kite?
HI ⊥ IJ, and m∠H = m∠J
IH = IJ = 3 and JK = HK = SquareRoot 29, and IH ≠ JK and IJ ≠ HK
IK intersects HJ at the midpoint of HJ at (−1.5, 2.5)
The slope of HK = Negative two-fifths and the slope of JK = Negative five-halves
Answer is B
( I didn't see this on the site and figured I'd put it up)
Answer:
B.) IH = IJ = 3 and JK = HK = StartRoot 29 EndRoot, and IH ≠ JK and IJ ≠ HK.
Step-by-step explanation:
Answer: B
Step-by-step explanation:
YOUR WELCOME :)