Given:
The functions are:
[tex]f(x)=-4x^2-6x-1[/tex]
[tex]g(x)=-x^2-5x+3[/tex]
To find:
The function [tex](f-g)(x)[/tex].
Solution:
We have,
[tex]f(x)=-4x^2-6x-1[/tex]
[tex]g(x)=-x^2-5x+3[/tex]
We know that,
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(-4x^2-6x-1)-(-x^2-5x+3)[/tex]
[tex](f-g)(x)=-4x^2-6x-1+x^2+5x-3[/tex]
Combining like terms, we get
[tex](f-g)(x)=(-4x^2+x^2)+(-6x+5x)+(-1-3)[/tex]
[tex](f-g)(x)=-3x^2+(-x)+(-4)[/tex]
[tex](f-g)(x)=-3x^2-x-4[/tex]
Therefore, the required function is [tex](f-g)(x)=-3x^2-x-4[/tex].
Pls answer……………………..
Answer:
Step-by-step explanation:
J and k are parallel if
angle 1 = angle 4 (vertically opposite angles)
angle 2 + angle 5 = 180 degree (being co interior angles)
angle 4 = angle 5 (being alternate interior angles)
angle 1 = angle 5 (being corresponding angles)
Answer:
2 and 5 are co - interior angles
1 and 3 are corresponding angles
1 and 4 are alternate
6 and 8 are corresponding angles
Step-by-step explanation:
Please help meee I need this done ASAP
Answer:
4pi/15=θ - i think
Step-by-step explanation:
S = r*θ
r=9
s=12pi/5
12pi/5=9*θ
12pi/45=θ
4pi/15=θ
(4a+3b)(2a-5) expand
Answer:
6ab + 8a² - 15b - 20a
Step-by-step explanation:
Expand by using FOIL method
4(2a-5) + 3b(2a-5)
4a(2a) + 4a × -5 + 3b × -5
Simplify terms
8a² - 20a + 6ba -15b
6ab + 8a² - 15b - 20a
the bag of skittles has 3 parts red skittles , 5 parts yellow skittles and 7 parts orange skittle. Represent this ratio three ways;visually, using ratio notation and using fraction notation
Step-by-step explanation:
Given that,
The bag of skittles has 3 parts red skittles, 5 parts yellow skittles and 7 parts orange skittle.
Ratio notation is= 3:5:7
Frction notation,
Red skittle[tex]=\dfrac{3}{3+5+7}=\dfrac{1}{5}[/tex]
Yellow skittle [tex]=\dfrac{5}{3+5+7}=\dfrac{1}{3}[/tex]
Orange skittle [tex]=\frac{7}{3+5+7}=\dfrac{7}{15}[/tex]
Hence, this is the required solution.
In a right angle triangle , the two shorter sides are 6cm and 8cm in length . What is the length of the longest side
Answer:
10 cm
Step-by-step explanation:
In a right triangle, there are three sides, A, B, and C.
A and B are the short sides, while C is the long side.
So we know that A = 6 cm, and B = 8 cm.
We can then use the Pythagorean theorem which states that
[tex]C=\sqrt{(A^2)+(B^2)[/tex]
Once we plug in the numbers we get
[tex]C=\sqrt{6^2+8^2}[/tex]
[tex]C=\sqrt{36+64}[/tex]
[tex]C=\sqrt{100}[/tex]
C=10 cm
NEED HELP FAST ILL MAKE BRAINLIEST
Jenna's English teacher tells her that there are 5 vowels in the alphabet. Based on this information, Jenna states that given any word in the English language, the probability of randomly choosing a vowel from among the word's letters is 5/26.
Explain the flaw in Jenna's reasoning.
Provide a word where the probability of randomly choosing a vowel from the word's letters is 1/2.
Answer:
Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.
What is the range of the relation (-2, 4), (3,-2), (1, 0), (5,5)?
A. {-2, 3, 1,5}
B. {4,-2, 0,5}
C. {-2, 4, 5, -2}
D. {-2,-1, 0, 5}
Is it D?
Answer:
A.{-2,3,1,5 } or D. {-2, -1, 0,5}
Find x . Please and thank you
Answer:
x = 6
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
[tex]\frac{x+3}{3}= \frac{6}{2}\\\\ \frac{x+3}{3}=3\\\\x+3 = 3*3\\\\x+3 = 9\\\\x = 9-3\\\\x = 6[/tex]
Amy is 9 years older than her younger sister. if her younger sister is now 1 year old, how many years later will Amy be 4 times as old as her younger sister?
☆Amy is 9 years older than her younger sister.
[tex]\\ \sf\longmapsto Age\:of\:Amy=1+9=10years[/tex]
Let after x years Amy will be 4times old as her sister.
ATQ
[tex]\\ \sf\longmapsto \dfrac{1+x}{9+x}=\dfrac{1}{4}[/tex]
Using cross multiplication[tex]\\ \sf\longmapsto 4(1+x)=1(9+x)[/tex]
[tex]\\ \sf\longmapsto 4+4x=9+x[/tex]
[tex]\\ \sf\longmapsto 4x-x=9-4[/tex]
[tex]\\ \sf\longmapsto 3x=5[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{5}{3}[/tex]
[tex]\\ \sf\longmapsto x=1.6[/tex]
[tex]\\ \sf\longmapsto x=2(approx)[/tex]
.
The diagram shows a right-angled triangle.
11 cm
to
8 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.
Answer:
x ≈ 43.3°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{11}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{8}{11}[/tex] ) ≈ 43.3° ( to 1 dec. place )
For which equation would x = 0 be a solution?
6x = 1/6
4x = -4
(7)x = 0
1,000x = 0.001
QUESTIONS:- For which equation would x = 0 be a solution?
ANSWER:- (7)x = 0
as 7x= 0
x=0 ANSWER
2. Based on the cash flows shown in the chart below, compute the IRR and MIRR for Project Erie. Suppose that the appropriate cost of capital is 12 percent. Advise the organization about whether it should accept or reject the project.
Project Erie
Time 0 1 2 3 4 5
Cash Flow $12,000 $2,360 $4,390 $1,520 $980 $1,250
Answer:
IRR = -5.19%
MIRR = 3.33%
The company should reject the project
Step-by-step explanation:
Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested
IRR can be calculated with a financial calculator
Cash flow in year 0 = -$12,000
Cash flow in year 1 = $2,360
Cash flow in year 2 = $4,390
Cash flow in year 3 = $1,520
Cash flow in year 4 = $980
Cash flow in year 5 = $1,250
IRR = 5.19%
The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.
MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n) - 1
n = number of years
present value of the firm's cash outflow = $12,000
Future value of a firm's cash inflow
Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51
Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63
Future value of year 3's cash flow =$1,520 x (1.12^2) = $1906.69
Future value of year 4's cash flow = $980 X 1.12 = 1097.60
Future value of year 5's cash flow = 1250
Add the future values together = $14,135.43
($14,135.43 / $12,000)^0.2 - 1 = 3.33%
The project should be rejected because the IRR is negative.
To find the IRR using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the IRR button and then press the compute button.
In order for the parallelogram to be a
rhombus, x = [?].
(x + 15)
(2x - 40)
Help pleaseeee
Answer:
Step-by-step explanation:
x+15 = 2x-40
Move x to the right side and you get 15 = x-40
Move -40 to the left side and you get x = 55
In order for the parallelogram to be a rhombus, x must equal 55.
What is a rhombus?A rhombus is a quadrilateral that has four equal sides.
Some of the properties we need to know are:
- The opposite sides are parallel to each other.
- The opposite angles are equal.
- The adjacent angles add up to 180 degrees.
We have,
If a parallelogram is a rhombus, it means that all four sides of the parallelogram have equal length.
We can set the expressions for the opposite sides of the parallelogram equal to each other and solve for x.
x + 15 = 2x - 40
First, we can simplify by adding 40 to both sides and getting:
x + 55 = 2x
Next, we can subtract x from both sides and get:
55 = x
Therefore,
In order for the parallelogram to be a rhombus, x must equal 55.
To verify this, we can substitute x = 55 back into the expressions for the sides:
x + 15 = 55 + 15 = 70
2x - 40 = 2(55) - 40 = 70
Both opposite sides have an equal length of 70, so the parallelogram is a rhombus.
Thus,
In order for the parallelogram to be a rhombus, x must equal 55.
Learn more about Rhombus here:
https://brainly.com/question/27870968
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Somebody asked a teacher how many students do you have? I would like to send my son to your school The teacher asnwered if as many students as i have now join my school and half as many as i have join it and quarter as many and your boy comes to study with me as well i will have excactly 100 students
Answer:
So whats the question?
A scatter plot is shown with the title Jordans Hot Chocolate Sales. The x axis is labeled High Temperature and the y axis is labeled Cups of Hot Chocolate Sold. Data points are located at 20 and 20, 30 and 18, 40 and 20, 35 and 15, 50 and 20, 45 and 20, 60 and 14, 65 and 18, 80 and 10, 70 and 8, 40 and 2.
Answer:
First Part;
As the temperature in the city increases, the number of cups of hot chocolate sold decreases
Second Part;
The approximate value of the slope in number of cups sold per change in temperature is -0.12222
The approximate value of the y-intercept is 20.944 degrees temperature
Step-by-step explanation:
Question;
First Part
What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words
Second Part
How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit
Explanation
The data points are presented in the following table;
[tex]\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}[/tex]
A scatter plot is formed from the given data using MS Excel
First part;
From the values of the number of cups sold, y, and the temperature at which they are sold, x, there is correlation between the x and y values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature
Second Part;
The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;
y = a + b·x
[tex]b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }[/tex]
a = [tex]\bar y[/tex] - b·[tex]\bar x[/tex]
Where;
b = The slope
a = The y-intercept
From MS Excel, we have;
[tex]\bar y[/tex] = 15, [tex]\bar x[/tex] = 48.63636
[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) = -410[/tex]
[tex]\sum \left(x_i - \bar x\right )^2 = 3354.545[/tex]
Therefore;
[tex]b = \dfrac{-410}{3354.545} = -0.12222[/tex]
The approximate value of the slope, b = -0.12222 (number of cups sold per unit change in temperature)
a = 15 - (-0.12222)×48.63636 ≈ 20.944
The approximate value of the y-intercept, a = 20.944 (in degrees of temperature).
Last question, so please help me out ASAP!
Answer:
5/18
Step-by-step explanation:
conditional probability formula:
A|B (a given b) = (A∩B)/(B)
so
Moderate|college (moderate given college)= (moderate∩college)/college
moderate∩college= 15
college= 11+15+28= 54
15/54= 5/18
14. Which is the first step in solving: X - 1/3 = 1/3 ?*
Answer:
Step-by-step explanation:
In this case "solving" involves isolating the variable, x, on the left side of this equation.
Starting with x - 1/3 = 1/3, we add 1/3 to both sides. This results in:
x = 1/3 + 1/3, or x = 2/3.
Find the reciprocal of 2/5.
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex] , then
reciprocal of [tex]\frac{2}{5}[/tex] is [tex]\frac{1}{\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]
Please Help...I really need this, I dont understand???
Answer:
Decreased
Strong negative
Step-by-step explanation:
The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa
Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.
A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16).
Which statement is supported by the graphs?
Answer:
it's AAAAAAAAAAAAAAAAAAA
Answer:
It's A <3
I took the test. ^^
The formula V=IR shows the relationship between voltage, current, and resistance. Solve this formula for R
Answer:
The formula is [tex]R =\frac {V}{I}[/tex]
Step-by-step explanation:
The formula V = I R shows the relationship between voltage, current, and resistance.
It is given by the Ohm's law.
According to this law, at constant temperature, the current flows in any conductor is directly proportional to the potential difference applied.
V = I R
where, V is the potential difference, I is the current and R is the resistance.
The resistance is given by
[tex]R = \frac{V}{I}[/tex]
Answer:
R = V over I
Step-by-step explanation:
A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery
Answer:
The power is 1.68 W.
Step-by-step explanation:
Voltage, V = 3 V
charge, q = 0.56 C
time, t = 1 s
Let the power is P.
P = V q /t
P = 3 x 0.56 / 1 = 1.68 W
whats 3x+34+23y=
frezz
Answer:
3x+34+23y, You can not add in this equation as there are no like numbers.
Step-by-step explanation:
Answer:
isnt it 60xy
Step-by-step explanation:
No Docs/No Files only real answer
5-star rated and I will give a brainliest
Answer:
question a is technically 7.5 and question b is 7.5
Step-by-step explanation:
half half
can someone help please
9514 1404 393
Answer:
4. n = 4
5. P(A|B) = 0.75
Step-by-step explanation:
4. The coefficient of x will depend on n. The expansion is ...
(5 +nx)^2(1 +3/5x)^n = (25 +10nx +n^2·x^2)(1 +3/5nx +...)
So, the x-term of the expansion is ...
25(3/5nx) +(10nx)(1) = 25nx
The problem statement tells us that is 100x, so we have ...
25nx = 100x
n = 100x/(25x) = 4 . . . . . divide by the coefficient of n
The value of n is 4.
__
5. For the conditional probability formula, we need to know P(A∩B).
P(A∩B) = P(A) +P(B) -P(A∪B)
P(A∩B) = 0.5 +0.4 -0.6 = 0.3
Then the conditional probability is ...
P(A|B) = P(A∩B)/P(B) = 0.3/0.4
P(A|B) = 0.75
A researcher asks participants to rate the tastes of three different cola drinks. The size, shape, and color of the drink cups are the same for each drink. In this study, the independent variable is __________, the dependent variable is __________, and an extraneous variable is __________. Group of answer choices drink cups, taste rating of cola drink, type of cola drink type of cola drink, drink cups, taste rating of cola drink type of cola drink, taste rating of the cola drink, drink cups drink cups, type of cola drink, taste rating of cola drink
Answer:
Independent variable - type of cola drink
dependent variable - taste rating of cola drink
extraneous variable - type of cola drink
Step-by-step explanation:
The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable
The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable.
The extraneous variable is the variable that is not been researched in the experiment but it has the potential to influence the results of the experiment.
The type of cola drink given to participants can be manipulated to derive different ratings. the ratings that participants would give the cola drink is determined by the type of cola drink served. Here, the type of drink served is the independent variable while the ratings given is the dependent variable.
the extraneous variable is the type of drink cups used. this is not relevant to the experiment but can affect the results of the experiments. for example, imagine a red cup is used for the experiment and a participant hates red cups. it is more likely that the participant would give a low rating for the cola drink even if the drink tastes good
Please click the photo and there are two questions to solve .Please help me guys
Answer:
Step-by-step explanation:
Distance formula:
[tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
Distance for AB
[tex]\sqrt{(4-2)^2+(1-(-5))^2}=\sqrt{4+36}=\sqrt{40}\\[/tex]
Distance for AC
[tex]\sqrt{(8-2)^2+(-3-(-5))^2}=\sqrt{36+4}=\sqrt{40}[/tex]
2.
same formula solve when positive
[tex]5=\sqrt{(6-3)^2+(y-2)^2}\\25=9+(y-2)^2\\16=(y-2)^2\\4=y-2\\6=y[/tex]
Now when it's negative
[tex]5=\sqrt{(6-3)^2+(y-2)^2}\\25=9+(y-2)^2\\16=(y-2)^2\\-4=y-2\\y=-2[/tex]
so y can equal 6 or -2
Find the ratio of sin (A)
Answer:
sin (A) = 8/17
Step-by-step explanation:
Sine = opposite/hypotenuse
Sin (A) = 16/34
Sin (A) = 8/17
Answer:
sin (A) = 16/34
Step-by-step explanation:
SOH (sine = opposite/adjacent)
I'll give brainliest to the best answer if you help me with the image down below!
Includes: an explanation please
Answer:
3 Pounds
Step-by-step explanation:
2.82 rounded to the nearest whole number is 3.
If we wanted to round 2.82 to 2, it would have to be 2.49 or less
What is infinity + infinity??
Answer:
Although this makes for a lot of potential fun with formulas, mind experiments and arguments, the answer is plain.
Infinity is already everything so there is no more to it, infinity plus infinity would be still just infinity, which is btw infinite.
Answer:
infinity + infinity = infinity
Step-by-step explanation:
Mark brainliest please :)
