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
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What does b stand for 11.3 > b/4.3
Answer:
b = 45.69
Step-by-step explanation:
5 x 5 = 25
25 x 2 & and a half = 45.69
In the inequality expression "11.3 > b/4.3," the variable "b" represents an unknown numerical value.
In the inequality 11.3 > b/4.3, b is the variable.
The inequality is stating that 11.3 is greater than the result of dividing "b" by 4.3.
The purpose of the inequality is to compare the value of 11.3 with the value of "b/4.3" and determine if 11.3 is greater or not.
The variable "b" can take any value that satisfies the inequality.
Hence, in the inequality b stands for unknown value or variable.
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Variable p is 2 more than variable d. Variable p is also 1 less than variable d.
Which pair of equations best models the relationship between p and d? (5 points)
A. p = d + 2
p = d − 1
B. p = d − 2
p = d + 1
C. d = 2p
d = 2p − 1
D. d = 2p
d = 2p + 1
Step-by-step explanation:
The correct answer is p= 2+d and p= d-1
A line that includes the points (-9, h) and (-8, 9) has a slope of 10. What is the value of h?
Answer:
-1
Step-by-step explanation:
Use the rule y2-y1 / x2-x1
y1 = h
y2 = 9
x1 = -9
x2 = -8
so you get
9-h / (-8) - (-9) = 10
cross multiply to get
9-h = 10
so -h = 10-9
so h = -1
5 ways to get points
Answer:
um answer questions and answer questions and answer questions and answer questions and answer questions
Step-by-step explanation:
This diagram shows three small squares and two rectangles composed of 10 small squares.
Jada says this diagram can represent 230. What does a small square represent for Jada?
Answer:
230 is the answer for this
Step-by-step explanation:
etrs grvbtczb
Answer:
yes
Step-by-step explanation:
Simplify the expression by combining like terms: 3x^2 + 12x+11+14x^2+8x+5
Answer:
Step-by-step explanation:
Like terms have same variables with same exponents
3x² + 12x + 11 +14x² + 8x + 5
= 3x² + 14x² + 12x + 8x + 11 + 5
= 17x² + 20x + 16
Can someone please help me with my math homework?
help this is due soon
Answer: (1,-2)
Step-by-step explanation: You have to look and see how much its decreasing by. It goes 1 square to the right (positive) and 2 down (negative).
-7 es numero natural?
Answer:
no no es un numero natura,los numeros naturales son los que estan completos como el 1 el 2 el 3 y mas numeros los que son menos o con punto decimal no lo son
Please I would be grateful I need help
Answer:
A.. 3x
Step-by-step explanation:
Option A is the correct answer.
[tex] 9xy^2 - 6xy - 3x[/tex]
[tex]= 3x(3y^2 - 2y - 1)[/tex]
Evaluate the six trigonometric functions of (the angle in standard position) with the Point
(15,-3) on the terminal side of the angle.
-5х + Зу = -8
3х - 7y = -3
Answer:
wrong
Step-by-step explanation:
-5x + 3y, you can’t add those together since they aren’t like numbers
3x - 7y, can’t be done either since again, they aren’t like numbers.
like numbers include the same variable or no variable, which means you cant do -5x + 3y but you can to -5x + 3x. you can add those together since both of the numbers have the variable “x” while 3y and 7y have the same variable “y” therefore those can be added together.
since there isn’t a way to add those, both of those answers are not only wrong, but they’re also in simplest form.
Eight hundred thirty-three billion, four hundred thousand,
nine hundred six
Answer:
What's the question?
Step-by-step explanation:
I will help if I knew the question
There are 48 students in a certain class, 25% of this are girls, How many
boys are in the class?
Answer:
There are 36 boys
Step-by-step explanation:
find the “x” in simplest form
Answer:
x = -7/5 + 1/5 √22
Step-by-step explanation:
Hope this Helps!!
Choose >, <, or = to compare each pair of numbers
5.31 ______ 5.13
Answer:
>
Step-by-step explanation:
Answer:
5.31 > 5.13
Step-by-step explanation:
5.31 is greater than 5.13 as it is farther than 5.13 on the number line.
what GCF of 22 and 30
Answer:
2
Step-by-step explanation:
Which of the following is not a statement?
a) Math is hard.
b) v2 is a rational number.
C) Plants require water to live.
d) Lake Martin is a man-made lake.
A ) I am just guessing
isbslw
Evaluate 4(-9) i need help lol
Answer:
-36
Step-by-step explanation:
How are you in college lol
Answer:
Multiply
4 by − 9 .
− 36
Step-by-step explanation:
Why should the sum of the probabilities in a probability distribution always equal to 1?
Answer:
If u add probabilities of all possible outcomes that should be one, because classical definition of probability is number of possible out comes divided by total number of outcomes. When you add all probabilities numerator and denominator are equal so answer is one.
Answer:
The total probability of a set of related events sums up to 1 because the probability of each individual event in the set is a fraction of the whole. For example, suppose you flip a fair coin a large number of times.
Select all the equations that describe each situation and then find the solution.
Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?
Answer:
Its 11
Step-by-step explanation:
Consider function fand function g.
() = In
g(x) = -5 In
How does the graph of function g compare with the graph of function ?
Unlike the graph of function f, the graph of function ghas a y-intercept.
The graph of function g is the graph of function fvertically stretched by a factor of 5.
Unlike the graph of function f, the graph of function g decreases as x increases.
The graphs of both functions have a vertical asymptote of r = 0.
Unlike the graph of function f, the graph of function g has a domain of {+1 -5 < x < 0}
Reset
Next
Answer:
I believe it is the first third and fourth options, I am not entirely sure for I mostly guessed on them, but they make the most sense when looking at the graph.
Step-by-step explanation:
It can be deduced that the graph of function f and g compare as:
Unlike the graph of function f, the graph of function g decreases as x increases.The graph of both functions have a vertical asymptote of x = 0.What is a function?A function in mathematics simply means the relation between a set of inputs and a set of permissible outputs.
In this case, the graph of both functions have a vertical asymptote of x = 0. This is because the divisor equals to zero for a value of x.
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9y-8x=63 How do I convert this into slope-intercept form?
Answer:
turn it into y=mx+b
Step-by-step explanation:
get y alone
add 8x to both sides
9y=63+8x
divide both sides by 9
63/9=7 8x/9= [tex]\frac{8x}{9}[/tex]
simplify
y=[tex]\frac{8}{9}[/tex]x+7Answer:
y = 0.8x + 7 or
y = [tex]\frac{4}{5}[/tex]x + 7
Step-by-step explanation:
The slope intercept formula is: y = mx + b
9y - 8x = 63
+8x +8x
= 9y = 63 + 8x
9y/9 = 63/9 + 8x/9 ←
We're getting rid of the 9 beside the y, so we have to divde every number by 9.
= y = 0.8x + 7 if you want the 0.8 as a fraction, it'll be [tex]\frac{4}{5}[/tex]
8 1/5-2 7/8 Fractions math
Answer:
5 13 /40
Step-by-step explanation:
hope this helps :))
Solve the equation for all real solutions in simplest form.
3z^2+17z+16=0
Answer:
[tex]x=\frac{-17+\sqrt{97}}{6}[/tex], [tex]x=\frac{-17-\sqrt{97}}{6}[/tex]
Step-by-step explanation:
Use the quadratic formula to solve for all real solutions.
Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Plug in and solve:
[tex]x=\frac{-17\pm\sqrt{17^2-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-12(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-192}}{2(3)}\\\\x=\frac{-17\pm\sqrt{97}}{6}\\[/tex]
Since that's the farthest we can simplify to, your answers would be the positive and negative versions of the expression:
[tex]x=\frac{-17+\sqrt{97}}{6}[/tex]
and
[tex]x=\frac{-17-\sqrt{97}}{6}[/tex]
choose the best estimate for the mass of an apple
A. 25 g
B. 250 g
C. 1,000 g
D. 2,000 g
boi you bettter helpp.
Answer:
25 or 250 i would go wit 250 but i fr dont know
Step-by-step explanation:
Area of a right triangle with base 8cm and height 2cm is
16 square cm
8 square cm
32 square cm
Answer:
the ans is 16 square cm ok
Kamala spent a total of $4.32 to buy
6 pencils. Each pencil cost the same
amount. What was the cost of each
nencil2
Aight come on i need the answer to this question
Answer:
A, E, F
Step-by-step explanation:
2/9 is the fraction equivalent of 0.222222 repeating. 4/15 is the fraction equivalent 0.266667 repeating. 7/11 is the fraction equivalent of 0.636364 repeating.
If I have an equation like 6+3y-4 can i move the 3y to the back to deal with the 6 and the -4?
ex: 6-4+3y?
