Answer: A. domain: all real numbers
range: all real numbers greater than or equal to -5
The domain and range of the function f(x)= x4 - 2x2-4 is all real numbers, and all real numbers greater than or equal to -5.
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
We are given that;
f(x)= x4 - 2x2-4
Now,
To find the range, we can consider the behavior of the function as x approaches positive or negative infinity. As x gets very large or very small, the x^4 term will dominate, and the function will become very large (positive for large positive x, negative for large negative x). So, we know that the range is not all real numbers.
We can also complete the square to rewrite the function in vertex form:
f(x) = (x^2 - 1)^2 - 5
From this form, we can see that the minimum value of f(x) is -5, which occurs when x = 0. Therefore, the range of the function is:
Range: all real numbers greater than or equal to -5
So, the answer will be Domain: all real numbers, Range: all real numbers greater than or equal to -5
Learn more about the domain and range of the function:
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 14
and DC = 7, what is the length of BC in simplest radical form? (Note: the figure is
not drawn to scale.)
What benchmark Fraction equals
13 7/12 + 11 5/8
Answer:
Step-by-step explanation:
Marta told Maribel “The sum of fifty and half the number of oranges is the same as one-hundred-twenty.” Maribel wrote 50 (one-half) + m = 120 What is her error?
Answer:
Her error was that the half should have been multiplied by m, instead
[tex]50 + \frac{1}{2}m = 120[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = 50[/tex]
[tex]Rate = 0.05[/tex]
[tex]Days = n[/tex]
So, we have:
[tex]Base\ Amount + Rate * days = 120[/tex]
[tex]50 + \frac{1}{2}m = 120[/tex]
Hence, the error in her workings is that she should have pre-inform her before God and man.
Answer:
C - The One-half should be multiplied by m.
Step-by-step explanation:
Its right on edge
factorise fully 9b-3b2
Answer:
3b(3-b) is the answer
Step by step explanation : take out the most common factor which is 3b
What quadrilaterals diagonals are congruent but neither of them is bisected by the other.
Answer:
rectangle are congruent because opposite sides of rectangle are equal. We also know that diagonals of rectangle bisect each other
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate
Find his average speed in kilometers per hour.
Answer:
12 2/3 KMPH
Step-by-step explanation:
3 1/6 x 4 (reciprical of 1/4) = 12 2/3
Solve the equation below for X
1/3(-x + 3) = -x - 4
Solve the equation below for X
1/3(-x + 3) = -x - 4
Answer: x = -15/2 = -7.500
Work~~
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1/3*(-x+3)-(-x-4)=0
Step by step solution :
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
1
(— • (3 - x)) - (-x - 4) = 0
3
STEP
2
:
Equation at the end of step 2
(3 - x)
——————— - (-x - 4) = 0
3
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
-x - 4 (-x - 4) • 3
-x - 4 = —————— = ————————————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(3-x) - ((-x-4) • 3) 2x + 15
———————————————————— = ———————
3 3
Equation at the end of step
4
:
2x + 15
——————— = 0
3
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
2x+15
————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2x+15 = 0
Solving a Single Variable Equation:
5.2 Solve : 2x+15 = 0
Subtract 15 from both sides of the equation :
2x = -15
Divide both sides of the equation by 2:
x = -15/2 = -7.500
One solution was found :
x = -15/2 = -7.500
violet buys cheese and potatoes at the store. she pays a total of $19.30 . She pays a total of $5.58 for the cheese . She buys 4 bags of potatoes that each cost the same amount . How much does each bag of potatoes cost?
If you get half of 10 dimes, you get ??? Cents
Answer:
EZ
Step-by-step explanation:
50 CENTS
PLZ BRAINLEST
Answer:
Half of 10 is 5, dimes are worth 10 cents each. So you'll have either 5 Dimes or 50 cents
Step-by-step explanation:
There are 300 audience members at an opera and 26 are wearing bowties. a) How many audience members are not wearing bowties? What is the universal set for this scenario?
Answer:
300-26=274
The opera
Step-by-step explanation:
hope helps
please answer :) will give brainlst
Answer:
Your answer would be B. A metal railing rusting in damp weather because anything that contains any sort of rust whats so ever is always considered a chemical change.
Explain how to write and evaluate the algebraic expression 13 less than the quotient of forty and a number; evaluate when n=2
Answer:So you would start with 40/n because quotient means division and then it would be (40/n) - 13 (40 divided by n then minus 13) because the answer is thirteen less than the quotient of those numbers. since it wants you to evaluate for n=2 you would do 40/2 which is 20 then subtract 13 which is 7.
So write the expression as (40/n) -13 and when you evaluate just stick the 2 where the n is for (40/2) - 13
20 - 13
= 7
Step-by-step explanation: HOPE THAT THIS WILL HELP YOU ❤️
Answer:
Here's an answer I used <3
Explanation:
You would then get to 40/n because quotient means division, then 40/n-13 because the outcome is 13 below the quotient. You can divide 40 by 20 to get 20, then 13 to get 7 because it asks you to test n=2.
Sixty-four teams entered a citywide soccer tournament. Half of the teams are eliminated after each round. Write a function for the number of teams left after x rounds.
Answer:
x = (64 ÷ 2) ÷ r
Step-by-step explanation:
x = teams
r = rounds
hope this helps :)
Answer:
f(x)=-1/2x+64
Step-by-step explanation:
a function starts with f(x) so thats how i got the f(x) and im guessing this is talking about linear functions so they start of with 64 teams which is the y intercept and 1/2 are eliminated after each round which is -1/2 giving us f(x)= -1/2+64
solve for x 1/4 x equals 5
Answer:
gcccccccccccccccccccccccccccccccccccccccccccccccccccavrfcxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzqer
Step-by-step explanation:
Marley's flight is scheduled to travel 2,937 miles in 5.5 hours. At what rate
will the plane have to travel to complete the trip on time?
Answer:
534 miles every 1 hour
Step-by-step explanation:
A window is 28 inches wide. What is the width of the window in
feet?
Answer:
2 ft 4 in
Step-by-step explanation:
12 in in a foot
There is 3/4 of an apple pie left from dinner, Tomorrow, Victor plans to eat 1/4 of the pie that was left. Enter how much of the whole pie he will eat tomorrow.
Answer:
2/4??..
Step-by-step explanation:
Please don't really use this answer because it is random
A tree casts a shadow 21m long. The angle of elevation of the sun is 51º. What is the height of the tree? Round your answer to the nearest tenth.
Answer:
25.9
Step-by-step explanation:
If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
A tree casts a shadow 21 m long.
The angle of elevation of the sun is 51°.
Let h be the height of tree.
Then the height of the tree will be
tan 51° = h / 21
h = 25.93 m
More about the right-angle triangle link is given below.
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Find the slope of the line between each pair of points (7, -4) and (7, -1)
Answer:
the slope is -3/0, which is undefined
Step-by-step explanation:
subtract the ys and subtract the xs and put y/x
anything divided by 0 is a math error (not to b confused with 0 divided by, which is just 0)
Hope this helps :)
What is a dot plot and how do you read it? Check all that apply. O A dot plot displays data values as dots number line. O Dot plots show the frequency with which a specific item appears in a data set. There was 1 run in 5 of the games. I There were 0 runs in 2 of the games. O Dot plots show the distribution of the data. There were a total of 19 games.
Answer:
the first third and 5th one i think, check my answer first XD
Step-by-step explanation:
I need help it’s this if you awnser correctly I will mark you
Answer:
b, x = 17
Step-by-step explanation:
A right angle (as shown by the box in the corner of the angle) is 90°.
So, the two angles have to add up to 90°.
22 + 4x = 90
Subtract 22 from both sides.
4x = 68
Divide both sides by 4.
x = 17
The answer is b, 17
Hope this helps! Feel free to ask any questions! :)
Answer:
B.) 17
Step-by-step explanation:
90-22=68
68/4=17
Brainliest please
On an exam a student earned a grade of 80. On the retake they earned a grade of 100. What is the percent increase in the grade?
Answer:
25%
Step-by-step explanation:
Percentage increase from 80 to 100 making the increase 25%
Answer:
16 percent sorry if im wrong i tried
Step-by-step explanation:
Graph the equation. y=3(x+1)^2-2
HELP!!
Answer:
look at the sceenshot how you put the graph in
Step-by-step explanation:
n/10 + 8 = 12. Mental Math Solve the equation
Answer:
= 4 0
Step-by-step explanation:
/ 1 0 + 8 =1 2
/1 0+ 8 − 8 = 1 2 − 8
SIMPLIFY
1 0 = 4
Multiply all terms by the same value to eliminate fraction denominators
1 0 = 4
1 0 ⋅ /1 0= 1 0 ⋅ 4
Simplify
n=40
please I really need help
Twice a number X exceed 5 by atleast 4 find all possible value of x
Answer:
x≥4.5
x is all number greater than or equal to 4.5
Step-by-step explanation:
2x≥5+4
2x≥9
x≥9/2
x≥4.5
x is all number greater than or equal to 4.5
A candy company packs candy in cases of 544 pieces each. How much candy will be in 26 cases?
Answer: 544 divided by 26 = 44
Step-by-step explanation:
Divide 544 by 26 and get 20 with a remainder of 24. Add the remainder to 20 and get your total.
Hope this helps.
The total of h and b is split into 5 equal groups?
Answer: (h + b) ÷ 5
Step-by-step explanation:
First add h + b (h +b)
Then divide by 5. (h + b) ÷ 5
the equation of the line please
Answer:
x = 4
Step-by-step explanation:
The line is a vertical line. The equation of a vertical line is represented as x = k.
Where, k is the point at where the line intercepts the x-axis.
In the graph given, the line intercepts the x-axis at 4. k = 4.
Therefore the equation of the vertical line would be:
x = 4
If Sophie gets $26.00 and Jack gets four times the amount as Sophie. How much do Jack get?
Answer:
he gets 104$
Step-by-step explanation:
104 dollars
26x4=104
Answer:
Step-by-step explanation:
Times means multiple so 26 x 4 and that equals 104. $104 dollars would be your answer.