The correct form of the quadratic formula is x = (-b±√(b² - 4ac)) / (2a).
Hence, option D) is the correct answer.
What is a Quadratic Equation?Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x using the quadratic formula;
x = (-b±√(b² - 4ac)) / (2a)
The correct form of the quadratic formula is x = (-b±√(b² - 4ac)) / (2a).
Hence, option D) is the correct answer.
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Bernice estimated that 69% of 242 is 168. Is her estimate reasonable?
Answer:
D Yes, because her calculation should be 70% of 240.
Step-by-step explanation:
D
put the following equation in slope intercept form: 3x - 2y = 14
The length of a rectangular field is represented by the expression 14x-3x^2+2yThe width of the field is represented by the expression 5x-7x^2+7y How much greater is the length of the field than the width?
The width of a rectangle is 5 inches less than twice the length. The area of the rectangle is 700 square inches. What is the length of the rectangle?
Britany sends between 10 and 20 text messages per day. Each text message costs $0.80. Suppose Britany's cellular bill spans a period of 8 weeks. Which is a reasonable amount that she would spend on text messages on one cellular bill
Please help!!!!!!!!!!!!!!
What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HINT! It is NOT a whole number. If you can show me a whole number for a radius where the surface area and volume are equal, then any radius bigger than that will have a larger volume.
To get full points you will need to SHOW me formulas for surface area of a sphere, volume of a sphere, and calculations on how you found your answer.
Question 1 options:
The formula for the surface area of a sphere is 4 x pi x radius^2
The formula for the volume of a sphere is 4/3 x pi x radius^3.
Write the equation of a line that is parallel to y=-0.75x and that passes through the point (8,0)
Please help
Answer:
The equation of the line that is parallel to the given is equal to the expressions below:
[tex]\displaystyle \boxed{ y = -0.75(x - 8) \text{ or } y = -0.75x + 6 }[/tex]
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slopeb - y-interceptPoint-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinatey₁ - y coordinatem - slopeStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyley = - 0.75x \\\text{Point } (8, 0) \\[/tex]
Step 2: Find Equation
Recall that a parallel line has the same slope as the one that is given. Therefore, we can define the slope of our parallel line to be m = -0.75:
[Point-Slope Form] Substitute in variables:We can rewrite this form into slope-intercept form as well by expanding:
[tex]\displaystyle y = -0.75(x - 8) \rightarrow \boxed{ y = -0.75x + 6 }[/tex]
∴ we have found the equation of a line that is parallel to the given information.
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Topic: Algebra I
Answer:
what the guy above said
Step-by-step explanation:
At the school book sale, Michael bought 3 books for $6. Darnell bought 5 books for $10. Are these rates proportional?
The graph of which function has a minimum located at (4, –3)?
f(x) = x2 + 4x – 11
f(x) = –2x2 + 16x – 35
f(x) = x2 – 4x + 5
f(x) = 2x2 – 16x + 35
Answer:
f(x) = 1/2x^2 – 4x + 5 (the third option)
Step-by-step explanation:
On ed :)
please help with math? will give branliest!!
2. A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there randomly selected eight adults of each type of monkey, weighed them, and recorded their weights in pounds.
howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}
spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}
(a) Calculate the median each type of monkey.
(b) Calculate the mean for each type of monkey.
(c) Calculate the MAD for each type of monkey.
(d) Calculate the means-to-MAD ratio for the two types of monkeys.
(e) What inference can be made about the weight of both types of monkeys? Explain.
Answer:
The median of howler monkey is, 17
And, Median of spider monkey is, 14
The mean for the howler monkeys is 17 and the MAD is 0.8571.
The mean for the spider monkeys is 14 and the MAD is 1.1429.
The means-to-MAD ratio is 2.6249.
This means that on average, the number of mean absolute deviations that separate the means is 2.6. This means they are different.
Find the median of data set as;
For howler monkey;
There are 8 number of howler monkey.
Hence, Median is,
= (8/2 + 1)
= 5 th term
= 17
For spider monkey;
There are 8 number of spider monkey.
Hence, Median is,
= (8/2 + 1)
= 5 th term
= 14
To find the mean of the howler monkeys, add all of the data values and divide by 7:
= (15+16+17+17+17+17+18+19)/7
= 119/7
= 17
To find the MAD, subtract each data point from the mean; take the absolute deviation; then average these together:
= (|15-17|+|16-17|+|17-17|+|17-17|+|17-17|+|17-17|+|18-17|+|19-17|)/7
= (2+1+0+0+0+0+1+2)/7
= 6/7
= 0.8571
And, Repeating these processes for the spider monkeys:
Mean:
(12+13+13+14+14+14+16+16)/7
= 98/7
= 14
And, MAD:
= (|12-14|+|13-14|+|13-14|+|14-14|+|14-14|+|14-14|+|16-14|+|16-14|)/7
=(2+1+1+0+0+0+2+2)/7
= 8/7
= 1.1429
To find the means-to-MAD ratio, find the difference in the means and divide it by the larger MAD:
17-14=3;
Hence, We get;
3/1.1429 = 2.6249
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4 students ran for class president. In the elction, Mario got 40% of the votes. Jazmyne got 35% of the votes, Arturo got 10%,and Rachel got 60 votes. How many students voted?
Write the equation of the line going through the point (4,6) that is perpendicular to the lie 3x+6y=12
A system of equations consists of two lines. One line passes through (-1, 3) and (0, 1). The other line passes through (1, 4) and (0, 2). Determine of the system has no solution, one solution, or an infinite number of solutions.
A survey was conducted that asked 1011 people how many books they had read in the past year. results indicated that x overbarequals14.8 books and sequals16.6 books. construct a 90% confidence interval for the mean number of books people read. interpret the interval
If f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x)
A. x^2=2x-6
B. 2x^2-15
C. x^2+2x+8
D. 2x^3-6
Answer: The correct option is (A) [tex]x^2+2x-6.[/tex]
Step-by-step explanation: We are given the following two functions :
[tex]f(x)=2x+1,\\\\g(x)=x^2-7.[/tex]
We are to find the value of [tex](f+g)(x).[/tex]
We know that
for any two functions p(x) and q(x), we have
[tex](p+q)(x)=p(x)+q(x).[/tex]
Therefore, we get
[tex](f+g)(x)\\\\=f(x)+g(x)\\\\=(2x+1)+(x^2-7)\\\\=2x+1+x^2-7\\\\=x^2+2x-6.[/tex]
Thus, option (A) is CORRECT.
Hal’s sporting Goods had a 1 day sale. The original price of a mountain bike we 325. In a sale it was 276.25. What is the percent decrease for this sale?
Use a calculator to find the approximate value of sin-1( 0.655).
Answer:
Radian = 0.7142
Degree = 40.92°
Step-by-step explanation:
Given: [tex]\sin^{-1}(0.655)[/tex]
Let, [tex]y=\sin^{-1}(0.655)[/tex]
It is inverse trigonometry function. We have to use calculator to find angle of trigonometry.
The value of y in two form radian or degree
Using calculator to find the value of y
In radian,
[tex]y=0.7142[/tex]
In degree,
[tex]y=40.92^\circ[/tex]
Hence, The value of [tex]\sin^{-1}(0.655)[/tex] in radian 0.7142 and in degree 40.92°
The graph models the daily high temperature, H(t), in Santiago, Chile, t days after the hottest day of the year. What does the point (0,29) represent?
The point (0,29) on the graph models the daily high temperature in Santiago, Chile on the hottest day of the year, where '0' represents that hottest day and '29' is the high temperature on that day.
Explanation:The point (0,29) on the graph represents the weather condition in Santiago, Chile on the hottest day of the year. Here, '0' in the pair represents the day which is essentially the hottest day and '29' is the high temperature on that day. It depicts that on this specific day, the highest temperature was 29. The graph is an example of a time series graph, where the changing patterns or trends are displayed over a certain period of time - in this case, the temperature changes across the days following the hottest day of the year.
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( Please help me, the year is ending and I'm almost at a failing grade): ) An athlete is running along a circular path that has a diameter of 250 yards. The arc traveled by the athlete is 120 degrees. Using 3.14 for (symbol that looks like two Ts that are connected), how many yards did the athlete run? Round the answer to the nearest yard.
To find the distance an athlete ran on a circular path with a diameter of 250 yards and an arc length of 120 degrees, calculate the arc length using the radius and angle in radians. The athlete ran approximately 262 yards.
To find the distance the athlete ran around a circular path with a given arc length of 120 degrees and a diameter of 250 yards, first, determine the radius of the circle:
Radius (r) = Diameter / 2 = 250 yards / 2 = 125 yards
Convert 120 degrees to radians: 120 degrees × π / 180 = 2π / 3 radians
Calculate the arc length using the formula: Arc Length = Radius × Angle in radians = 125 yards × 2π / 3 = 250π / 3 ≈ 261.8 yards
Therefore, the athlete ran approximately 262 yards.
44 points, please answer this question ASAP!
Answer:
-3
Step-by-step explanation:
mean = sum of terms/number of terms
mean = (-10-23+8+7+3)/5
mean = -15/5
mean = -3
Calculus question... I need help understanding thanks.
Calculate Гx^3dx
Solve by factoring AKA zero product property method. If the equation has no real solutions, write no real solutions.
3. x^2 − 5 + 4 = 0
4. x^2 + 7 + 12 = 0
What is the volume of a cylindrical bucket that is 35 cm tall and has a base with a diameter of 21 cm? Use pi= 22/7 and round your answer to the nearest tenth of a cubic centimeter.
Answer: 12,127.5
Step-by-step explanation:EDGE2021
Let A = {the whole numbers} and B = {the integers}. Find A ∩ B.
0
the integers
the whole numbers
the real numbers
The answer is WHOLE NUMBERS.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!! What is the simplified form of the expression (3x^7/2)^6 (x^2)^6
A. x^33
B. 3x^29
C. 729x^29
D 729x^33
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
T.A.=
Answer: Total area of the given prism is (104 + 16√13) Square inches.
Step-by-step explanation:
By the given diagram,
In the right triangular prism,
The sides of the base ( right triangle ) are 4 inches and 6 inches,
We have to finds : T.A. ( the total area of the prism )
Thus, the total base area of the prism = 2 × ( Area of triangle having base 4 inches and height 6 inches )
= 2× ( 1/2 × 4 × 6 )
= 4 × 6
= 24 square inches,
Let the hypotenuse of the triangles having sides 4 and 6 is x inches, ( shown in the diagram )
Thus, by the given diagram,
[tex]x^2 =4^2+6^2[/tex]
[tex]x^2 = 16 + 36[/tex]
[tex]x^2 = 52[/tex]
[tex]x=2\sqrt{13}[/tex]
Now, the total lateral area of the prism,
= 8×2√13 + 8×4 + 8×6
= 16√13 + 32 + 48
= (16√13 + 80) square inches,
Since, the total area of the given prism (T.A.) = Total base area of the prism(B.A.) + Total lateral area ( L.A.)
= 24 + 16√13 + 80
= (104 + 16√13) Square inches.
What Is the Measure of Y
41
49
51
61
Answer:
ITS A.) 41
Step-by-step explanation:
Please help me with my question
Line Q is represented by the following equation: 2x + y = 11
Which equation completes the system that is satisfied by the solution (3, 5)? (4 points)
x + 2y = 15
x + y = 15
x + y = 8
x − y = 2
Answer:
the Answer is x + y = 8 because 3 + 5= 8
Step-by-step explanation: