Given:
The function is:
[tex]f(x)=x^2-x+1[/tex]
To find:
The result of the operation [tex]-f(x)=-(x^2-x+1)[/tex].
Solution:
If [tex]g(x)=-f(x)[/tex], then the graph of f(x) is reflected across the x-axis to get the graph of g(x).
We have,
[tex]f(x)=x^2-x+1[/tex]
The given operation is:
[tex]-f(x)=-(x^2-x+1)[/tex]
So, it will result in a reflection across the x-axis.
Therefore, the correct option is A.
Answer:
A) reflection across the x-axis.
Step-by-step explanation: I took the test
Find the future value of $124,357 deposited at 8% compounded quarterly for 4 years
Answer:
Future value, $63,398.79; Interest, $16,798.79
Step-by-step explanation:
f (x) = x5 − 8x4 + 21x3 − 12x2 − 22x + 20
Three roots of this polynomial function are −1, 1, and 3 + i.
Which of the following describes the number and nature of all the roots of this function?
f (x) has two real roots and one imaginary root.
f (x) has three real roots.
f (x) has five real roots.
f (x) has three real roots and two imaginary roots.
Answer:
f(x) has three real roots and two imaginary roots.
Step-by-step explanation:
The function is degree 5, so will have 5 roots in total. 2 real roots and one complex root are shown. Complex roots come in pairs, so there will be one more, but cannot be two more.
f(x) has three real roots and two imaginary roots.
__
All five roots must be accounted for. This leaves out the first two choices. The given complex root eliminates the third choice.
Answer:
D
Step-by-step explanation:
did the test
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
1
a. y = f (2x)
b
y = f (3)
C. 2y = f(x)
= x
. d. = f(x)
у
-
Enter
Answer:
Step-by-step explanation:
The answer is d.
The black graph corresponds to the function y = f(x). The function represented in the red graph is y/2 = f(x). Therefore, option d is correct.
What is a graph representing a function ?A graph representing a function is a visual representation of the relationship between the input values (often called the "domain") and the output values (often called the "range") of the function.
For example, if we have a function f(x) = x^2, we can create a graph by choosing some input values for x (e.g. -3, -2, -1, 0, 1, 2, 3), computing the corresponding output values using the function (e.g. 9, 4, 1, 0, 1, 4, 9), and plotting the points (x,y) = (-3,9), (-2,4), (-1,1), (0,0), (1,1), (2,4), (3,9) on the graph.
Here, the black graph corresponds to the function:
y = f (x).
In the red graph, the y values are increased to two fold but the x-values are the same.
then,
relation between new y values and older function f(x) is :
y/2 = f (x).
Therefore, option D is correct.
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If the Jones family owned a $300,000 home, a $12,000 car, and had $150,000 in other assets, what would be their net worth? $462,000 $450,000 $312,000 $138,000
Answer:
462,000
Step-by-step explanation:
300,000+150,000+12,000=462,000
Answer:
Step-by-step explanation:
I’ll give brainliest!
Add 3/4 + (2^1/2) using the number line
Select the location on the number line to plot the sum
Answer: -1 3/4
Step-by-step explanation
just add the fractions together :)
(between the -2 and -1 1/2)
Which of the number line graphs shows the solution set of |x – 2| > 3?
Answer:
I have it!
Step-by-step explanation:
tom drank 3/4 of a cup of water in 2/3 of a minute. at this rate how much water did he drink in a full minute PLEASE HELP
Answer:
9/8
Step-by-step explanation:
x=(3/4)/2*3=9/8
Answer:9/8
Step-by-step explanation:divide 3/4 by 2/4
20. Marissa has a $50, $20, $10, $5, and $1 bill in
her wallet. She takes the bills out and
randomly line them up. What is the
probability that the first bill is greater than
$5?
Answer: I believe it would be 60% tell if I am wrong
Step-by-step explanation:
The probability of getting first bill is greater than $5 is 1/5 or 0.2
Probability:
The probability of any event is the mathematical possibility of that event.
Probability is always lies between 0 to 1
Sure event has probability 1 while impossible event probability 0
The formula for probability is
Probability = [tex]\frac{number of favorable event}{total number of event}[/tex]
How to find probability?Here the total event is
S = {$1, $5, $10, $20, $50}
Total number of events = 5
The probability of find greater than $5 is
Probability = 1/5 = 0.2
Hence the final answer is 0.2
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I Was Not That Day On College, I Don't Have The Formulas To Study
Answer:
check online for more information
HURRY HELP PLEASE! SERIOUS ANSWERS ONLY!
Living Space?
You have the opportunity to live in a 3 bedroom 3.5 bath on Miami Beach in a Luxury Condo or in Laurel Mississippi in a 5-bedroom 7 bath home. Money for either is not an issue. The only stipulation is that you and your present family situation will remain intact. Given your present situation, which would you choose and why? (Students will receive full credit for their completion of the project; steps 2 and 3)
1. Look up property and amenities
a. Condo on: unaresidencemiami.com/price-list
b. Home on: 2230 Ridgewood Dr, Laurel, MS 39440 (type in address)
2. Look up the community in which EACH is located
3. Solve for the intersection of the two properties (two variable systems of equations using the
cost and the Square Footage as the variables)
a. Condo: $2.2 million / 1946 sq feet
b. House : $.3 million / 4681 sq feet
4. Which would you choose and why?
Answer:
The Mississippi home
Step-by-step explanation:
I would get the Mississippi home because it has 5 bedrooms with 7 bathrooms, it would be a great home for a family and guest to go to. and it also depends on the condition of the home and the amount of people in you family.
PLEASE HELP IMMEDIATELY
THANN YOU!
(Image attached above)
Answer: x = 2, explanation below
area of rectangles and squares is l * h or h * l (h is height and l is length)
length of left rectangle/square is
4*(6x+6) and for the right quadrilateral, it is 4x*9
4x*9 is 36x
and we use the distributive property for 4*(6x+6)
4*6x+4*6
4*6x = 24x
4*6 = 24
24x+24
They have equal areas, so we can make an equation making their areas equal.
36x = 24x+24
Subtract 24x from both sides
12x=24
divide 12 by both sides
x = 2
Step-by-step explanation:
Francine recorded today's high
temperature as 78.6°F. Today's low
temperature was 4.7°F less than
that. How much cooler was today's
low temperature than yesterdays low
temperature, which was 77.4°F?
Answer:
3.5
Step-by-step explanation:
the problem says 4.7 less than which refers to subtraction so we can plug our numbers into a subtraction problem like so
78.6-4.7 which equals 73.9
the second part of the problem asks the difference between yesterday's low and today's.
we can take the two lows and subtraction them to find this answer.
77.4-73.9 which equals 3.5
so today's low was 3.5 degrees cooler than yesturdays
Find the volume
of the rectangular prism.
3 m
7 m
4 m
Answer:
The volume is 63m³
Step-by-step explanation:
Multiply all sides together so 4 x 7 is 21, 21 x 3 is 63.
Please help me thx so much have a good day
(X+2b)(x-4b) simplified
Answer:
I will ASSUME X = x
x² + 2bx - 4bx - 8b²
x² - 2bx - 8b²
Answer:
[tex]\\\\\\-8b^2-2bx+x^2[/tex]
Step-by-step explanation:
[tex](x+2b)(x-4b)\\=(x+2b)(x+(-4b)\\=(x)(x)+(x)(-4b)+(2b)(x)+(2b)(-4b)\\\\x^2-4bx+2bx-8b^2\\\\-8b^2-2bx+x^2[/tex]
The area of a rectangular dog run can be no more than 120 square feet. The length is 15 feet. What is the width of the dog run.
Answer:
Length x width= answer
so 15 x 8 = 120
Step-by-step explanation:
The Greens are moving. Their real estate agent located 79 houses listed for sale in their price range. Of those bouses listed for sale: 49 had a finished basement. 56 had a three car garage. 37 had a finished basement. How many had a finished bsement but not a three car garage?
Don has seven pairs of shoes, three pairs of pants, and six shirts. If all items are compatible, how many different outfits can he wear?
Answer:
126
Step-by-step explanation:
There are 126 different ways he can wear the outfit.
What is Combination?The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.
Given:
Number of pairs of shoes= 7
Pants= 3 pairs
Shirts= 6
So, different outfits can he wear
= 7 x 3 x 6
= 21 x 6
= 126
Hence, there 126 different ways he can wear the outfit.
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simplify (x^4-4x^3+9x^2-5x) (x^3-3x^2+7) -30x^2+25x^4
Answer:
x^7-7x^6+21x^5-13x^3+33x^2-35x
Step-by-step explanation:
there you go!
Point P(5,0) is on the terminal arm of an angle k in standard position.
Determine the value of cosk.
The value of the cosine of angle [tex]k[/tex] is 1.
Given a point [tex](x,y)[/tex] that is a terminal arm of an angle [tex]k[/tex] in standard position, by trigonometric relations we have the following expression for the cosine:
[tex]\cos k = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
Where:
[tex]k[/tex] - Angle measure, in sexagesimal degrees.[tex]x[/tex] - Horizontal position of the point of the terminal arm, no unit.[tex]y[/tex] - Vertical position of the point of the terminal arm, no unit.If we know that [tex]x = 5[/tex] and [tex]y = 0[/tex], then the cosine of the angle [tex]k[/tex] is:
[tex]\cos k = \frac{5}{\sqrt{5^{2}+0^{2}}}[/tex]
[tex]\cos k = 1[/tex]
The value of the cosine of angle [tex]k[/tex] is 1.
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Today is my birthday. My age today, in months, is 72 times my age 5 years ago,
in years. My age today, in years, is
Answer:
Happy Birthday!
Step-by-step explanation:
Can anyone understand what this symbol is , I'm viewing scratch work to understand what to do with a problem but I can't understand what this is, is this cursive or something?
3 bags of dog food cost $6.75 How much would they spend on 2 bags of dog food?
Answer:
$4.50 for 2 bags of dog food
Step-by-step explanation:
To find the cost of 2 bags of dog food, we first need to divide $6.75, the cost of 3 bags, by 3, to find the cost of one.
$6.75 / 3 = $2.25
Now that we know the cost of one bag, we can multiply the cost by two to find the cost of 2 bags.
$2.25 * 2 = $4.50
$4.50 for 2 bags of dog food
due in 1 hour please help
Answer:
1 2 3 4 = 123.23
Step-by-step explanation:
12+13×4 what is the answer best explanation will get brainliest
Hello there, this is just a basic PEMDAS problem
[tex]{\huge{\boxed{\mathbb{QUESTION}}}[/tex]
12+13×4 what is the answer
[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]
[tex]12+13\cdot4[/tex]
_______________
[tex]{\huge{\boxed{\mathbb{PEMDAS\:RULE}}[/tex]
Follow PEMDAS rule
Parenthesis Exponents Multiplication or Division Addition or Subtraction_______________
So first we will multiply [tex]13[/tex] by [tex]4[/tex] giving us [tex]52[/tex]. Now just add [tex]12+52=64[/tex]
_______________
[tex]{\huge{\boxed{\mathbb{ANSWER}}[/tex]
64
Two angles are complementary. The larger angle is 32° larger than the smaller angle. Find the measure of both angles, and separate your answers with a comma.
The angles are 29° and 61°.
Let the smaller angle be x
Let the larger angle be x+32.
The sum of the complimentary angles will be 90°.
Therefore, x + x + 32° = 90°
2x + 32° = 90°
2x = 90° - 32°
2x = 58°
x = 58/2
x = 29°
The larger angle = x + 32 = 29 + 32 = 61°
PLSS Someone plss help plss helppp plllsss Will mark brainliest!!!
Answer:
( 6 , 8 )
Step-by-step explanation:
y = kx
k = [tex]\frac{y}{x}[/tex]
( 3 , 4 )
k = [tex]\frac{4}{3}[/tex]
[tex]\frac{4}{3}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{12}{9}[/tex] = ....
( 6 , 8 )
Increasing y = - 12× + 4
Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = 1 to x = 3
Answer:
c
Step-by-step explanation:
Relative Maxima means "a point that is higher than the points directly beside it on both sides", or when looking at derivatives, when the derivative of a function changes from above zero to below zero. If you're looking at a graph, all you have to do is find those points that seem to be poking out of the graph, aka c, when x=2.
Also look at the interval - (1,3), so... really, just by that, c would be your answer
Air is being pumped into a spherical balloon at the rate of 7 cm3/sec. What
is the rate of change of the radius at the in stant the volume equals 36π cm3
? The volume of
the sphere of radius r is (4 over PI )r power of 3
Answer:
Step-by-step explanation:
[tex]V=\frac{4}{3} \pi r^3\\\frac{dV}{dt} =\frac{4}{3} ~\pi \times ~3r^2\frac{dr}{dt} \\\frac{dV}{dt} =4\pi r^2\frac{dr}{dt} \\7=4\pi r^2\frac{dr}{dt} \\\frac{dr}{dt} =\frac{7}{4\pi r^2} \\when~V=36 \pi cm^3\\36\pi =\frac{4}{3} \pi r^3\\r^3=\frac{36\pi \times 3}{4\pi } =27=3^3\\r=3~cm\\\frac{dr}{dt} =\frac{7}{4\pi \tmes 3^2} \\\frac{dr}{dt} =\frac{7}{36 \pi } cm/sec[/tex]
