Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 - 4x + 9
**Remember y = 0**
O Real
o Complex
Answer:
[tex] {x}^{2} - 4x + 9 = 0 \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x=\frac{-( - 4)\pm\sqrt{( - 4)^2-4(1)(9)}}{2(1)} \\x=\frac{ 4\pm\sqrt{ 16-36}}{2} \\ x=\frac{ 4\pm\sqrt{ - 20}}{2} \\ x=\frac{ 4\pm2i\sqrt{ 5}}{2} \\ x = 2\pm \: i\sqrt{ 5} \\ D = {b^2-4ac} \\D = { 16-36} \\ = - 20 < 0 \rightarrow \: x \in \: \mathbb{C} \: \\ x \: is \: complex [/tex]
The population of a city decreases by 0.9% per year. If this year's population is 338,000, what will next year's population be, to the nearest individual?
Answer:
The population will be 334,958.
Step-by-step explanation:
Multiply 338,000 by 0.009 to get the answer. The reason is to multiply by a percentage, you move the decimal two spots to the left. For example, 0.9 -> 0.009. Another would be 3 -> 0.03.
Đề bài sau dùng cho 3 câu từ câu 1 đến 3
Doanh thu (triệu đồng) 830 900 950 1.020 1.200
Số cửa hàng 15 25 30 20 10
1. Doanh thu bình quân của các cửa hàng là:
a. 980,0 b. 958,5 c. 950,0 d. 980,6
2. Trung vị về doanh thu là:
a. 900 b. 950 c. 958 d. 925
3. Mốt về doanh thu là:
a. 900 b. 950 c. 1.020 d.
Answer:
Step-by-step explanation:
The owner of a used car dealership is trying to determine if there is a relationship between the price of a used car
and the number of miles it has been driven. The owner collects data for 25 cars of the same model with different
mileage and determines each car's price using a used car website. The analysis is given in the computer output.
Predictor Coef SE Coef t-ratio
р
Constant 2415712 2164.1 2.965
0.046
Mileage
-0.181 0.024 5.377
0.000
s = 3860.7
R-S = 68.0%
R-Sq (Adi) = 69.59
Using the computer output, what is the value of the coefficient of determination?
00.46
0.68
N
0.70
0.82
The value of the coefficient of determination is gives the percentage of the variation which is explained by the regression line. The value of the coefficient of determination is the R² value which is 68%.
The Coefficient of determination is the proportion of change in the regression model caused by the regression line. From the computer output, the coefficient of determination is denoted as R² ; which is given as 0.68 Expressing the value as a percentage ; 0.68 × 100% = 68%Therefore, the coefficient of determination is 0.68
Learn more : https://brainly.com/question/25178853
Answer:
B) .68
Step-by-step explanation:
EDGE
There are only 6 blue pens, 5 green pens and 8 red pens in a box.
One pen is taken at random from the box.
Write down the probability that this pen is blue.
Answer:
0.316
Step-by-step explanation:
Probability = (number of outcomes)/(total number of outcomes)
In this case,
the total number of outcomes is 6+5+8 = 19, and
the number of outcomes for getting a blue pen = 6
Hence,
P(blue) = 6/19 = 0.31578947368 ≈ 0.316
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
In the rectangle below, AE = 2x+5, CE=5x-13, and mZECD=28°.
Find BE and m ZEBC.
А
WO
B
E
B
B
m ZEB
D
С
Answer:
https://www.portnet.org/cms/lib6/NY01001023/Centricity/Domain/290/Scanned-image.pdf
Step-by-step explanation:
...
Cómo hallar el dominio de una función identidad?
Answer:
Cómo hallar el alcance de una función cúbica? or How to find the scope of a cubic function?
Step-by-step explanation:
Two movies, an action movie and a drama, were released on the same day. The producers of the action movie claimed that their movie would be better received by audiences than the drama. To test the producers' claim, CinemaScore randomly selected 100 people and showed them both movies. Then the viewers were asked whether they liked or disliked each movie. The results are shown in the table.
Answer:
C is the correct answer.
If you need an explanation tell me.
More people like the action movies.
What is comparison of two numbers?
Comparison of two numbers, means to examine the differences between numbers, quantities or values to decide if it is greater than, smaller than or equal to another quantity.
According to the given question
We have a data in which
Number of people who liked action movie = 78
Number of people who liked action movie = 60
Number of people who disliked the action movie = 22
And, number of people who disliked the drama movie = 40
From the given data we conclude, that action movie is liked by more people as compared to drama movie because 78 > 60.
Hence, the action movie is better received by the audience than the drama.
Learn more about comparison of two numbers here:
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3.
1. The 20 students on the math team want to raise $490 to buy practice books.
They have already raised $220. If each student raises the same amount, how
much more money must each student raise?
Answer:
Each student must raise $13.50
Step-by-step explanation:
490-220=270 left to raise
270÷20=13.50
Write an algebraic expression to represent the coast of m gallons of gassoline if each gallon coast $1.45
Answer:
$1.45m
Step-by-step explanation:
The acceleration due to gravity on Earth is 9.8 m/s? What is the weight of a 75 kg person on Earth?
O 9.8 N
O 75 N
O 85 N
O 735 N
Answer:
the answer is 9.8 N you're welcome
(20 Points) What is the value of x?
Which graph represents the function f(x)=0.5x+4?
Which graph represents the function f(x)=−2x−1?
Answer:
Step-by-step explanation:
1.)The 4th picture will be the correct one.
Step-by-step explanation:
The first picture shows the graph of f(x) and in the options there are pictures of graph of g(x) = f(x) -1
So, it is clear from the equation of the functions that the graph of f(x) and g(x) will be similar but the the y value in g(x) will be 1 less than the y value in f(x) corresponding to a certain x value.
So, the graph will translate down by 1 unit.
Therefore, the 4th picture will be the correct one.
2.)-(2^x) - 1 will have a y-intercept of -1-1 = -2, a horizontal asymptote of y=-1, and will be decreasing everywhere. The third selection is the graph that has these characteristics.
Answer:
graph 4
Step-by-step explanation: because I love you <3 ;)
Which property of multiplication is shown? 3 * (5 * 7) = (3 * 5) * 7
Answer:
the associative property
Answer:
It is the associative property of multiplication
Step-by-step explanation:
It is generally expressed as
(ab)c=a(bc)
3*(5*7)=(3*5)*7
105=105
At a farm the ratio of cows to horses was 8 : 3. If there were 24 cows at the farm, how many horses were there?
James has $10 less than three times the amount Amy has. Which expression represents James' amount if Amy has d dollars?
Answer:
james has 3d-10
Step-by-step explanation:
Amy has d dollars
james has 10 less than 3 times Amy's amount
so the answer will be 3d - 10
hope it helps : )
The expression that represents James' amount is 3d - 10. Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A sentence-to-equation translation is a process of turning a given statement into an expression or equation.
James has $10 less than Amy, who has three times as much money.
Let d be the amount Amy has. Then the expression is given as,
⇒ 3d - 10
The expression that represents James' amount is 3d - 10. Then the correct option is A.
More about the function link is given below.
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The missing options are given below.
a) 3d - 10
b) 10 - 3d
c) 3d - 30
d) 30 - 3d
Which equation represents a line which is parallel to the line 3y−2x=−24?
Answer:
Any equation of the line with slope 2/3.
Parallel lines have identical slope.
Step-by-step explanation:
3y - 2x = - 24
3y = 2x - 24
y = 2/3x - 8
The Astronomical Telescope shop plans to introduce a new model based on the following information: Rent and utilities per period are $ {fixed}; variable cost per unit is $ 217; selling price per unit is $ 305; determine the break-even point in units if rent and utilities are increased to $ 5420.
Using the profit concept, it is found that the break-even point is of 61.6 units.
Profit is given by revenue subtracted by cost.The break-even point is when the revenue is the same as the cost, which means that the profit is zero.In this problem:
Variable cost per unit x of $217, fixed cost of $5,420, thus, the cost equation is given by:[tex]C(x) = 217x + 5420[/tex]
Selling price per unit of $305, thus, the revenue equation is given by:
[tex]R(x) = 305x[/tex]
The break-even point is the value of x for which:
[tex]R(x) = C(x)[/tex]
Then
[tex]305x = 217x + 5420[/tex]
[tex]88x = 5420[/tex]
[tex]x = \frac{5420}{88}[/tex]
[tex]x = 61.6[/tex]
The break-even point is of 61.6 units.
A similar problem is given at https://brainly.com/question/4001746
Adrian and his children went into a restaurant where they sell hotdogs for $3 each
and hamburgers for $8 each. Adrian has $80 to spend and must buy no less than 12
hotdogs and hamburgers altogether. If x represents the number of hotdogs
purchased and y represents the number of hamburgers purchased, write and solve a
system of inequalities graphically and determine one possible solution.
need both inequalities and how many hotdogs and burgers he can buy
Answer: 16x + 4y= 80
16 (3) + 4 (8) = 80
Find the mass of 250 ml of water. The density of water is 1 g/ml.
D= Density
M=
Volume - 10ml
What is the Mass?
V=
Mass - 70
Density
Alaalam
Answer:
250g
Step-by-step explanation :
250ml x 250g/ml = 250 g
To get the mass (in grams), you need to divide the ml's off and get the g alone.
In 1993, the moose population in a park was measured to be 4350. By 1999, the population was measured again to be 4890. If the population continues to change linearly: Find a formula for the moose population, P , in terms of t , the years since 1990.
Answer:
P = 90t
t = 31 years
Step-by-step explanation:
Erin ran 5 km in 25 minutes. What is her speed in km per minute? (Answer as a decimal)
Answer:
what what what what what what what what
Needs to show work.
Find the X intercept and the Y intercept for 2x-6y=12
Answer:
x: (6,0)
y: (0,-2)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y intercept, substitute in 0 for x and solve for y .
Ex -
X : 2x -6(0)=12
2x=12
2 cancels out with 2
12/2 = 6
Y: 2(0 )- 6y =12
-6y=12
negative 6 times negative 6 cancels
12/-6 = -2
Answer:
See Below
Step-by-step explanation:
Given: 2x-6y=12
Plug 0 in the equation for y:
y is zero
2x-6(0)=12
2x=12
The x-intercept: (6,0)
Plug 0 in the equation for x:
x is zero
2(0)-6y=12
−6y=12
The y-intercept: (0,−2)
An inlet pipe on a swimming pool can be used to fill the pool in 15 hours. The drain pipe can be used to empty the pool in 20 hours. If the pool is [tex]\frac{1}{3}[/tex] filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.
_____________ hours
Answer:
40 hoursStep-by-step explanation:
Rate of filling is 1/15Rate of draining is 1/20If both lines are open the rate of filling is:
1/15 - 1/20 = 4/60 - 3/60 = 1/60 per hourSince tank is 1/3 full we need to fill the remaining 2/3 of it.
Time required:
2/3 : 1/60 = 2/3*60 = 40 hoursShow all work to multiply quantity 6 plus the square root of negative 64 end quantity times quantity 3 minus the square root of negative 16 end quantity
Answer: 50
Step-by-step explanation:
[6+√-64] × 3-√-16
(6+8i)(3-4i)
6(3-4i)+8i(3-4i)
18-24i+24i+32
18+32=50
the answer is 50Answer:
fifty
Step-by-step explanation:
fifty
Find the value of x. 1/2 - 15 = 2/5x - 7
Answer:
(Hope this helps can I pls have brainlist (crown)
Step-by-step explanation:
In pic
(Credit: Symbolab )
x = 80
solve pls brailiest!
Answer:
73,if you need explanation then let me know, always happy to help anyone! btw if you could give me brainliest then that would be great, i also undestand if not because im not the first to answer so dont be shy and hit theirs with brainliest if you want! :))
Step-by-step explanation:
Solve: sin(11pi/2 +x)= -1/2 for [pi, 2pi]
Step-by-step explanation:
Step-by-step explanation: Given the expression sin(11pi/2 +x) =-1/2. Take the arcsin of both sides. sin⁻¹[sin(11pi/2 +x)]
The radius of a circle with centre O is 5 cm. The lengths of the chords AB and BC are 6 cm and 8 cm respectively. The midpoints of the chords are X and Y respectively. Find the perimeter of the quadrilateral OXBY.
Answer:
Step-by-step explanation:
AB=6 cm
BX=1/2 AB=1/2 ×6=3 cm
BC=8 cm
BY=1/2×BC=1/2×8=4 cm
perpendicular bisector of a chord always passes through the center.
so quadrilateral OXBY is a rectangle.
Perimeter=2(BX+BY)=2(3+4)=2×7=14 cm.
If y varies directly with x which equation describes x = 72 and y = 36?
Answer:
k = 1/2
Step-by-step explanation:
direct variation equation is y = kx where 'k' is the constant of variation
substitute 36 for 'y' and 72 for 'x' to get:
36 = 72k
solve for 'k' to get:
k = 36/72 or k = 1/2