Answers
Answer:
f(-4) = - 64
f(3) = - 15
f(-a) = - 3a² - 4a
-f(a) = 3a² - 4a
f(a + h) = - 3a² - 6ah - 3h² + 4a + 4h
Pay careful attention that you do not miss the negative signs in some of these terms
Step-by-step explanation:
The function is f(x) = -3x² + 4x
To evaluate the function at any value of x, simply substitute for x in the function expression
f(-4)= -3(-4)² + 4(-4) = -3 x 16 - 16 = -48-16 = - 64 since (-4)² = 16
So f(-4) = - 64f(3) = -3(3)² + 4(3) = -3 x 9 + 12 = -27 + 12 = - 15
So f(3) = - 15
f(-a) = -3(-a)² + 4(-a) = - 3a² - 4a
So f(-a) = - 3a² - 4a
-f(a)
To find -f(a) , first compute f(a) = -3(a)² + 4(a) = - 3a² + 4a, then add a negative sign in front and expand the brackets:
-f(a) = - (- 3a² + 4a) = + 3a² - 4a = 3a² - 4a
So -f(a) = 3a² - 4a f(a + h)
= - 3(a + h)² + 4(a + h)
(a + h)² = a² + 2ah + h²
done by applying perfect squares formula where (a + b)² = a² + 2ab + b² except instead of b we are using h
f(a + h) = - 3(a + h)² + 4(a + h)
= - 3(a² + 2ah + h² ) + 4(a + h)
Expanding the brackets,
= - 3a² - 3(2ah) - 3h² + 4a + 4h
= - 3a² - 6ah - 3h² + 4a + 4h
So f(a + h ) = - 3a² - 6ah - 3h² + 4a + 4h
Related Questions
A ship’s sonar detects a submarine 440 feet below a point on the ocean’s surface 600 ft dead ahead of the ship. To the nearest degree, find the angle x. hurryy!!!
Answers
The angle x to the nearest degree is 40°
Given,
The depth of submarine that a ship's sonar detects = 440 feet
The distance from submarine to ship in oceans surface = 600 feet
We have to find the angle x.
The figure is given below:
Here, we have to use the tangents definition:
That is,
tan θ = opposite side / adjacent side
Here,
tan x = 440 / 600
We want to find x,
So,
x = tan⁻¹ (440 / 600)
x = tan⁻¹ (0.73333)
x = 40.28°
By taking nearest angle, we get x as 40°
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One rectangle is "framed" within another. Find the area of the shaded region if the
"frame" is 1 unit wide.
10
5
Answers
The rectangle that is shaded has an area of 18 square units.
The framed rectangle is represented by the darkened area, while the frame is shown in white.
The frame's known width is two units, and both the rectangle and the frame have the following dimensions:
width = 7 units
length = 10 units
Now, if we remove the frame, each measure will lose 2*2 units, or 4 units (because for each measure we have the frame in both sides).
As a result, the measurements for the shaded rectangle are as follows:
width = 7 units - 4 units = 3 units
length = 10 units - 4 units = 6 units.
And since the product of a rectangle's width and length determines its area, we may calculate:
A = (3 units)*(6 units) = 18 square units.
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given the function f(x)=2/3x-5, evaluate f(9)
Answers
2/(3x-5)
2/(3(9)-5)
1/11 :(
Consider the information about the economy of Pakistan. Note that the currency of Pakistan is the rupee.
The government purchases: 3.30 trillion of rupees.
Individuals consume: 9.50 trillions of rupees.
Individuals save: 5.44 trillions of rupees.
Businesses invest: 1.20 trillions of rupees.
Foreigners spend: 0.50 trillions of rupees to purchase Pakistani firms.
Pakistan imports: 2.13 trillions of rupees.
Pakistan exports: 1.40 trillions of rupees.
Calculate Pakistan's GDP. Assume that the values are all current and no conversions need to be made. Give your answer in terms of trillions of rupees, and round to two decimals.
Answers
Pakistan's GDP is 13.27 trillion rupees.
What is GDP?GDP is the total value of all products manufactured and goods provided within that territory during a specific period.
We have,
Government purchases = 3.30 trillion rupees.
Individuals consume = 9.50 trillion rupees.
Individuals save = 5.44 trillion rupees.
Businesses invest = 1.20 trillion rupees.
Foreigners spend =0.50 trillion rupees to purchase Pakistani firms.
Pakistan imports = 2.13 trillion rupees.
Pakistan exports = 1.40 trillion rupees
GDP is given by:
C + I + G + NX
Where,
C = Consumption
I - Investment
G - Government Purchases
NX - Net Exports = Export - Import
So,
C = 9.50
I = 1.20
G= 3.30
NX = ( 1.40 - 2.13 ) = -0.73
GDP = 9.50 + 1.20 + 3.30 - 0.73
GDP = 13.27 trillion rupees.
Thus Pakistan's GDP is 13.27 trillion rupees.
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Geometry please answer quickly I will give brainliest
Answers
Answer:
20 +2x+1=7, hope this is the answer
Yes, it is entirely possible for vou te retire as a millionaire. If your long-term financial goal is te retire as a millionaire and you plan to invest at least $200 per month for 40 years, what rate of return would keep you from ending up a millionaire based on the Building Wealth charts?
Answers
The rate of return that would keep the individual from ending up a millionaire based on the Building Wealth charts is 9.22%
What is most appropriate method in this case?
The most suitable approach to solve for the rate of return in this instance is to make use of a financial calculator , which requires inputs as such the monthly payments, the beginning balance which is the present value and the future value which is $1,000,000 since the individual intends to retire as a millionaire.
N=480(number of monthly payments in 40 years i.e.40*12)
PMT=-200(monthly payment)
PV=0(starting balance is zero)
FV=1000000(the future value is $1,000,000)
CPT(press compute)
I/Y=0.768414778771834%(monthly rate of return)
annual rate of return=0.768414778771834%*12=9.22%
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Rob and Lila try to simplify 18 x 42 + (9 – 3)2. Rob simplifies the expression and gets 360. Lila simplifies it and gets 324. Which student is correct? What error did the other student make?
Answers
The result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.
What is an expression?
An expression can be defined as the combination of variables and constants with two or more operations applied to it. The operation can be addition, subtraction, multiplication and division.
Simplifying the expression
The given expression is 18 x 4² + (9 – 3)²
Using the BODMAS rule, we get,
= 18 x 4² + (6)²
= 18 × 16 + 36
= 288 + 36
= 324
Lila estimated it right.
The mistake that Rob might have made would be that he must have not solved (9 – 3)² the right way and gained the wrong answer.
Hence, the result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.
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Two cyclists, 30 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as
the other. If they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?
a. Write an equation using the information as it is given above that can be solved to answer this problem.
Use the variable r to represent the speed of the slower cyclist.
b. What is the speed of the faster cyclist?
mi/hr
Answers
The equation as r + 2 r = 30 miles / 2 hours and the speed of faster cyclist as 10 miles per hour.
We are given that:
The distance between the two cyclist = 30 miles.
Now let the speed of one cyclist be x miles / hour.
Speed of other cyclist = 2 x miles / hour.
Now, 2 hours later they meet.
Distance covered by 1st cyclist in 2 hours = 2 x
Distance covered by 2st cyclist in 2 hours = 4 x
Equation will be:
2 x + 4 x = 30 miles
6 x = 30 miles
x = 5 miles.
Equation for the cyclist in terms of r will be :
r + 2 r = 30 miles / 2 hours
Speed of faster cyclist = 10 miles per hour.
Therefore, we get the equation as r + 2 r = 30 miles / 2 hours and the speed of faster cyclist as 10 miles per hour.
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(PLEASE ANSWER A, B, AND C)
Give each probability as a simplified fraction, decimal, and percent.
If the spinner below is spun once, find each probability.
A. P (4)
B. P (a number less than 10)
C. P (a prime number)
Answers
The probability of P(4) is 1/8. 12.5%, 0.125.
The probability of a number less than 10 is 8/8. 1 , 100%
The probability of a prime number is 1/2. 0.5. 50%.
What is the probability?Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
Probability of spinning 4 = number of possible outcomes / number of sections
1/8 = 0.125 = 12.5%
Probability of spinning a number less than 8 = possible outcomes / total sections
8/8 = 1 = 100%
Probability of spinning a prime number = number of possible outcomes / total sections
Prime numbers between 1 and 8 = : 2, 3, 5, 7
4/8 = 0.5 = 50%
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What are the challenges in mixed research method?
Answers
The seamless integration of quantitative and qualitative data during analysis and interpretation is one of the main issues in mixed research methods.
What is the research about?Mixed Techniques Research is characterized as a subtype of user research that incorporates both qualitative and quantitative research approaches.
The overarching goal and fundamental tenet of mixed methods research is that using both quantitative and qualitative methods together yields a more comprehensive grasp of study issues and complicated phenomena than either method by itself.
In conclusion, the seamless integration of quantitative and qualitative data during analysis and interpretation is one of the main issues in mixed research methods.
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I need to find the error in the equation
Answers
Answer:
20 - i
Step-by-step explanation:
Addition of complex numbers:In complex number addition/subtraction, add the imaginary part and add the real part separately.
The error is while adding imaginary part, you have to combine the coefficients of the imaginary numbers. So, -3 +2 will give us -1. So, the result is -i.
16 - 3i + 4+ 2i = 16 + 4 -3i + 2i
= 20 - i
Answer:
20 - i
Step-by-step explanation:
The error made during second step:
When adding or subtracting expression, we add or subtract like terms.
(16 - 3i) + (4 + 2i) get rid of parenthesis
16 - 3i + 4 + 2i add/subtract like terms
20 - i (the mistake is made here, instead of "i" they typed i^2)
18:5=5/18 true or false
Answers
i responded to this already but it it is FALSE
Answer: False
Step-by-step explanation: Ratio is A:B = A/B
Can someone help me please?
Answers
Dogs seen on Saturday = 20
Dogs seen on Sunday = 40
40 + 20 = 60 dogs total
Answer:
60 or 6x10^1 dogs in two days
Step-by-step explanation:
Saturday: 2x10^1 dogs
Sunday: 2(Saturday) = 2 (2x10^1)
-----------------------------------------------------
2x10 = 20
2(20) = 40
20 + 40 = 60
60 or 6x10^1 dogs in two days
Please HELP ME I need help on this final question
Answers
UNIT TEST:
Basic Tools and Transformations - Part 1
Answers
For given polygon, the value of x is 61°
In this question we have been given a polygon with five sides.
We have been given the five interior angles of the polygon.
We need to find the value of x.
From given figure, we can observe that the given polygon is nothing but a pentagon.
We know that the sum of all interior angles of the pentagon is 540°
⇒ 107° + 144° + 138° + x° + 90° = 540°
⇒ 479° + x° = 540°
⇒ 479° + x° - 479° = 540° - 479°
⇒ x = 61°
Therefore, for given polygon, the value of x is 61°
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Khan Question please answer
Answers
Answer: 45 mins
Step-by-step explanation:
Maria and Anita = 30mins
this is 2/3 the time of what Maria takes
so 30 mins is 2/3 so 30 / 2/3 = 45mins
Model this expression on a number line
Answers
Is 5,707,460 divisible by 10?
Answers
Answer:
Yes
Step-by-step explanation:
Every number is divisible by 10, in this case you just need to tale of the zero at the end. 570,746 is the answer.
Jan has a car worth $3500. She still owes $1000 on the loan. She also borrowed $800 on a credit card. What are her total liabilities?
Answers
Answer:
Step-by-step explanation:
By adding the laibilites together you get 1,800.
Jorge sells chairs for $230 after a markup of $80. Jorge's percent of markup based on the selling price is?
Answers
Jorge's percent of markup based on the selling price is 34.78%.
The Percent markup based on Selling Price is calculating using the formula
Percent Markup = ( Markup/Selling Price )*100
In the given question
The Selling Price of chair = $230
Markup = $80
Substituting the values of Selling price and Markup in the Percent markup formula,
We get ,
Percent Markup = (80/230) * 100
=0.3478
=34.78
Therefore , the percent markup based on the selling price is 34.78%.
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How do division properties help you evaluate expressions?
Drag a word or number to the box to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
When the Response area of a fraction is equal to −1 and the numerator is nonzero, the value of the fraction is equal to the
Answers
The division property of equality simply tells us that if we divide both sides of an equation by the same number, then the equation remains the same.
How to explain the information?It should be noted that when the denominator of a fraction is equal to 1, and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.
Fractions simply means, numbers that are not whole.
If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.
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Answer:If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.
Step-by-step explanation:
The diameter of a circle is 15 ft. Find its circumference in terms
Answers
Answer:
C≈47.25
Step-by-step explanation:
Use the formula C= πd, where C is circumference, π is pi, and d is diameter.
Input the numbers and we'll shorten π to 3.15
C=3.15(15)
C≈47.25
Hi!
To find the circumference of a circle, use the following formula:
[tex]\implies\sf{Circumference_o=\pi d}[/tex]
where d is the diameter.Now, we know that the diameter is 15 ft, so let's plug that into the formula:
[tex]\implies\sf{Circumference_o=15\pi }[/tex]
We've found the circumferencce in terms of pi! Cheers :)
Have a nice day!
I hope this helped.
What is: -6.7 x 3 + (-5.8)
Answers
Answer: -25.9 or -25 9/10
Step-by-step explanation:
Answer:
-25.9
Step-by-step explanation:
-6.7 × 3 gives you -20.1 adding on the 5.8 gives you 25.9
Someone help ASP YOU GET 30 points and more show work so I’ll be able to understand THANK YOU!!
Answers
Answer: 1. x=4
2. x=12
3. x=-1
Step-by-step explanation:
1. 2(3x-5)=-4x+30
6x-10=-4x+30
6x+4x-10=-4x+4x+30
10x-10=30
10x-10+10=30+10
10x=40
10x/10=40/10
x=4
2. 5x-6-3x=18
5x-3x-6=18
2x-6=18
2x-6+6=18+6
2x=24
2x/2=24/2
x=12
3. -11-5x=6(5x+4)
-11-5x=30x+24
-11-5x+5x=30x+5x+24
-11=35x+24
-11-24=35x+24-24
-35=-35x
x=-1
Question 4
Tricia wants to install a decorative wall paper border around the top of the wall in he
master bedroom. The room measures 18ft by 14ft. How many feet of the border will
will she need?
Provide a numeric answer only. Do not include a unit of measure with your response
Answers
For the installation of a decorative wall paper Tricia will need 70 ft of the border to decorate the wall of her master bedroom.
The measures of the room is 18 ft by 14 ft.
So, the length of the room (l) = 18 ft
The width of the room(w) = 15 t
As we know that, perimeter of rectangle is 2(l×w).
We will get perimeter of he room = 2l × 2w
= 2(18) × 2(14)
= 70 ft.
14x^2-9x+11-8x^2+8x^6
Combine like terms
Answers
Answer:
8x^6 + 6x^2 - 9x + 11
Step-by-step explanation:
Well, I combined like terms.
There's only two terms you can combine here anyhow; those being 14x^2 and -8x^2.
QUICK IM TIMED PLS HELP
Re arrange equation to make x the subject
X-3=4y
Answers
Answer:
Re arrange equation to make x the subject
X-3=4y
-3 will be moved to the other side of equal sign
in doing so, its sign will be be switched
so
x=4y+3
By eating one egg one cupcake and one slice of pizza a child consumes 303 mg of cholesterol. if the child eats three cupcakes in four slices of pizza he or she takes in 93 mg of cholesterol. by eating two eggs in 1 cup cake a child consumes 569 mg of cholesterol. how much cholesterol is in each item?
Answers
The amount of cholesterol that is in each is given as c = 19, E = 275 and P = 9
How to solve for the cholesterolWe have to define the variables as:
E + C + P = 303
3C + 4P = 93,
we have to make pizza, P the subject
4P = 93 - 3C,
P = (93 - 3C) / 4
2E + C = 569,
2E = 569 - C
E = (567-C) / 2
We have to form the equation
(569-C)/2 + C + (93-3C)/4 = 303
We have to multiply the equation by 4
(569-C)2 + 4C + 93-3C = 1212
1138 - 2c + 4c + 93 - 3c = 1212
-C = 1212- 93 -1138
-c = -19
hence c = 19 mg for 1 cupcake
E = (569- 19)/2
275 for 1 egg
P = (93-3C)/4
P = 93 - 57 / 4
= 36 / 4
= 9 for one pizza
Hence we would have c = 19, E = 275 and P = 9
19 + 275 + 9 = 303 (proves it to be correct)
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19+274 + 7 = 300 mg
Combine like terms to simplify the expression:
5x^2-2x+3x^2+7x+10
Answers
Answer:
8x^2-5x+10
you just need to put the ones that are the same together
use the diagram and the given angle measure to find the other 3 measures. m<3=159 degrees
Answers
Answer: hegdbweh wnbdb jsbdjh
Step-by-step explanation:b jbedbd jakdnfcj jsdcnbv