To solve the equation (x + 4)(x - 9) = 4x, expand and rearrange the terms. Then solve the quadratic equation by factoring or using the quadratic formula.
Explanation:To solve the equation (x + 4)(x - 9) = 4x, we can expand the left side of the equation and then rearrange the terms:
x^2 - 5x - 36 = 4x
Next, we can move all the terms to one side of the equation:
x^2 - 9x - 36 = 0
Finally, we can solve this quadratic equation by factoring or using the quadratic formula to find the values of x.
Multiply. 0.35 × 0.003 =
Answer:
0.00105
Step-by-step explanation:
The sum of the digits of a two-digit number is 16. if the digits are reversed, the new number is 18 less than the original number. find the original number.
Find the fifth roots of 32(cos 280° + i sin 280°).
Correct Answer:
z1= 2(cos 56 deg + i sin 56 deg)
z2= 2(cos 128 deg + i sin 128 deg)
z3 = 2(cos 200 deg + i sin 200 deg)
z4 = 2(cos 272 deg+ i sin 272 deg)
z5 = 2(cos 344 deg+ i sin 344 deg)
Step-by-step explanation:
De Moivre's Theorem--> e^i theta = cos theta + i sin theta
The fifth root of 32 is 2 and 280/5 is 56
z1= 2(cos 56 deg + i sin 56 deg)
360deg/ 5 = 72 deg
(If it was asking for cubed root u would do 360/3. whatever the root is you divide that by 360)
z2= 2(cos 56 + 72) + (i sin 56 + 72)
z2= 2(cos 128 deg + i sin 128 deg)
z3 = 2(cos 128 + 72) + ( i sin 128 + 72)
z3 = 2(cos 200 deg + i sin 200 deg)
z4 = 2(cos 200 + 72) + (i sin 200 + 72)
z4 = 2(cos 272 deg + i sin 272 deg)
z5 = 2(cos 272 + 72) + (i sin 272 + 72)
z5 = 2(cos 344 deg + i sin 344 deg)
deg means degrees
They traveled 200 kilometers in total, and they biked 40 kilometers more than they were bussed. how many kilometers did they travele by bike
A company spent 32% of its annual budget developing a new machine. What fraction of the company's budget was spent developing the new machine?
We have been given that the company spent 32% of its annual budget developing a new machine.
Let us convert the percentage to fraction.
[tex]32 \%=\frac{32}{100} \\ \\ 32 \%=\frac{4\times 8}{4\times 25}\\ \\ \text{Cancel 4 from numerator and denominator}\\ \\ 32 \%=\frac{8}{25}[/tex]
Thus, when we convert 32% to fraction that will be equal to 8/25.
Hence, [tex]\frac{8}{25}[/tex] company's budget was spent developing the new machine.
Which expression is equivalent to 2m(3/2m+1)+3(5/3m-2)?
The expression is equivalent to [tex]\rm 3m^2+7m-6[/tex].
Given
Expression; [tex]\rm 2m \left (\dfrac{3}{2}m+1 \right )+3\left ( \dfrac{5}{3}m-2\right )[/tex]
How to find the equivalent expression to the given expression?To find the equivalent expression first multiply by term then combine like terms and simplify.
Therefore,
The expression is equivalent to;
[tex]\rm =2m \left (\dfrac{3}{2}m+1 \right )+3\left ( \dfrac{5}{3}m-2\right )\\\\=2m \times 3m + 1\times 2m + 5m \times 1-3\times 2\\\\=3m^2+2m+5m-6\\\\= 3m^2+7m-6[/tex]
Hence, the expression is equivalent to [tex]\rm 3m^2+7m-6[/tex].
To know more about Expression click the link given below.
https://brainly.com/question/10628562
The point (-1.3, -1.7) is located in which quadrant?
PLS HELP ME ASAP WITH 1!
BRAINLIEST WILL BE GIVEN HOPEFULLY
Do question 2 if u can, if u can’t it’s fine
(Random answers gets moderated)
6. Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt. So far, 147 of the first 156 customers have not received a star on their receipts. What is experimental probability of winning a free gallon of milk?
A. 11/156
B. 49/52
C. 2/39
D. 3/52*****?
The experimental probability of winning a free gallon of milk will be calculated as under -
It is given that, total number of outcomes = 156
Non-winning customers = 147 (it is given in the question)
Thus, the winning customers will be = Total outcomes - Non-winning customers
Expected winning customers = 156 - 147 = 9
The probability is calculated as -
Probability (Winning customer) = [tex] \frac{Winning Customers}{Total Customers} [/tex]
Probability (Winning customer) = [tex] \frac{9}{156} [/tex] = [tex] \frac{3}{52} [/tex]
The mean of a set of five numbers is 4.8. Given that the sixth number is x and the mean of these six numbers is 5.5, find the value of x.
plz help me!!!!!!!
Instructions: Select the correct answer from each drop-down menu. When p2 – 4p is subtracted from p2 + p – 6, the result is . To get p – 9, subtract from this result.
-3p-6. 4p+3
5p-6 4p-15
4p+6. 4p+12
How long does it take for a letter to get from orlando to los angeles?
I need step by step instructions on how to get the y-intercept for the following function:
f(x)=x^3-18x^2+107x-210.
statement must be true??
Given that AB is the bisector of DC. The third options of all the options are True.
B is the midpoint of DC.
In geometry, to bisect an entity means to disassociate it into two equal parts. A bisector is a line, ray, or segment that divides an entity into two equal parts. For illustration, a line that bisects an angle divides the angle into two angles with equal measures. A segment that bisects a line segment divides the line segment into two segments with equal lengths. A ray that bisects an angle extends from the vertex of the angle and divides the angle into two angles with equal measures.
As it is given that AB is the bisector of DC,
therefore, B, being the foot of AB on CD is the midpoint of DC.
Since DC is bisected by AB,
therefore, [tex]\angle[/tex] ABD = [tex]\angle[/tex] ABC.
Learn more about bisector here:
https://brainly.com/question/31893955
#SPJ4
Make a box and whisker plot of the data.
24, 18, 29, 21, 16, 23, 13, 11
A line has a slope of -5 and passes through (1,-1). Which is the equation of the line in point-slope form?
What is the length of an arc cut off by an angle of 3 radians on a circle of radius 8 inches?
5/8 ≠ (3/4 + 1/16) because 5/8 < 3/4 EXPLAIN THIS PROBLEM AND WHAT IT MEANS
What is the value of x?
Given that f(x) = x2 − 4x − 3 and g(x) = the quantity of x plus three, over four, solve for f(g(x)) when x = 9.
−6
3
6
9
Final answer:
The solution to f(g(x)) when x = 9 is -6.
Explanation:
In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the codomain), where each input is related to exactly one output.
Given:
f(x) = x2 - 4x - 3, g(x) = (x + 3) / 4
To find f(g(x)) when x = 9:
Calculate g(9): Substitute x = 9 into g(x) to get (9 + 3) / 4 = 12 / 4 = 3Substitute g(9) into f(x): Substitute g(9) = 3 into f(x) to get f(3) = 32 - 4(3) - 3 = 9 - 12 - 3 = -6Therefore, f(g(x)) when x = 9 is -6.
WILL VOTE BRAINIEST IF CORRECT(must be next few minutes): The formula for the area of circle A is Area=πr2 . Sector CAB is a fraction of circle A. In degrees, the fraction is θ/360∘ . In radians, the fraction is _____. Inserting this fraction into the formula for the area of a circle, and then simplifying, results in the formula _____.
(image attached)
choices: 2pi0, 0pi, 0/2pi, area=0r^2, area= 2pi0r^2, area= 0/2r^2
The fraction of the sector of a circle in radians is (θπ/180). Substituting this fraction into the formula for the area of a circle, and simplifying, results in the formula for the area of the sector being A = (θπ/360) * r^2.
Explanation:In a circle, the angle in degrees is often converted to radians for calculations. A full circle is equivalent to 360 degrees or 2π radians. Therefore, if the sector angle is θ degrees, then in radians, the equivalent is (θ/360) * 2π = θπ/180.
Inserting this into the formula for the area of a circle, which is A = πr2, the area A of the sector becomes a fraction of the full circle's area, which is calculated as follows: (θ/360) * A = (θ/360) * πr2 = (θπ/180) * r2. Simplifying this results in the formula A = (θπ/360) * r2.
Learn more about Circle Sector Area here:https://brainly.com/question/15849991
#SPJ12
For a sector in a circle, the fraction is θ/2π in radians. After substituting this into the formula for circle's area, we get the area of sector as Area = (θr²)/2.
Explanation:The fraction in radians for a sector in a circle is θ/2π, because there are 2π radians in a whole circle. As the formula for the area of circle A is Area=πr², when we insert this fraction, which represents the proportion of the circle that Sector CAB occupies, we get the formula for the area of a sector: Area= (θ/2π) * πr². This simplifies to Area= (θr²)/2, as the π's cancel out. This formula says that the area of a sector is proportionate to its central angle and the square of the radius of the circle.
Learn more about Circle Sector Area here:https://brainly.com/question/15849991
#SPJ12
Choose an example of a fixed expense and an example of a variable expense, and explain why they are classified that way.
Fixed costs, such as rent, remain constant regardless of production levels, while variable costs, like raw material expenses, will fluctuate based on the level of production.
Explanation:Firms classify their costs into two categories: fixed costs and variable costs. Fixed costs are expenses that do not change regardless of the level of production. For instance, a lease on a retail space would be considered a fixed cost as it remains the same whether you sell a lot or a little. On the other hand, variable costs are directly tied to the level of production. For example, the cost of buying materials to produce a product tends to rise as the level of production increases. It's variable because the more you produce, the more materials you would need, and therefore the cost varies with the level of output.
Learn more about Fixed and Variable Costs here:https://brainly.com/question/31543052
#SPJ2
y = 2f(g(x))
dy/dx = 2f'(g(x)) * g'(x)
Differentiate again:
d^2y/dx^2 = 2f''(g(x)) * g'(x) * g'(x) + 2f'(g(x)) * g''(x)
d^2y/dx^2 = 2f''(g(x)) * (g'(x))^2 + 2f'(g(x)) * g''(x)
Am I correct in saying answer D?
How do u find the height of the base??
PLEASE HELP ME!! How much greater is the median number of employees at Restaurant A than the median number of employers at Restaurant B?
How much of a 14% iodine solution should be added to 89 ounces of a 47% iodine solution to get a 29% solution
Rewrite the expression log(3x) as an equivalent logarithmic expression using only addition.
Which is the correct form of the quadratic formula? A) x = b ± b2 - 4ac a B) x = b ± b2 - 4ac 2a C) x = - b ± b2 - 4ac a D) 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.
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.
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ2
In p.
e. A parachute is laid out on the gym floor. The parachute has a radius of 16 feet. Which measurement is closest to the circumference of the parachute in feet.
The circumference of the parachute is Option A (100.48 feet).
To find the circumference of the parachute, we use the circumference formula for a circle:
C = 2πr
Given the radius (r) is 16 feet, we substitute it into the formula:
C = 2π(16) = 32π
Using the approximate value of π (3.1416), we get:
C ≈ 32 × 3.1416 = 100.48 feet
Thus, the measurement closest to the circumference of the parachute in feet is 100.48 feet (Option A).
Complete question:
In PE a parachute is laid out on the gym floor. The parachute has a radius of 16 feet. Which measurement is closest to the circumference of the parachute in feet?
A. 100.48ft
B. 198.4ft
C. 49.6ft
D. 803.84ft
PLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Find the value of n.