Answer:
The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.
Step-by-step explanation:
To find: What is the constant term in the polynomial expression, and what does it represent?
The given expression is [tex]-8x^2 + 54x + 140[/tex].
To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.
=[tex]-8(0)^2 + 54(0) + 140[/tex]
=[tex]140[/tex]
The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.
Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
-1
1
-4
4
2 + 5i
2-5i
-2 + 10i
-2 - 10i
Answer:
B, C, E, F
1, -4, 2+5i, 2-5i
Step-by-step explanation:
The roots of the function g(x) are -4 and 1.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the roots of the given function, we need to find the values of x that make the function equal to zero.
This can be done by factoring the function and setting each factor equal to zero.
g(x) = (x² + 3x - 4) (x² - 4x + 29)
Setting each factor equal to zero.
x² + 3x - 4 = 0
(x + 4)(x - 1) = 0
x² - 4x + 29 = 0
This quadratic has no real roots since its discriminant is negative.
The roots of g(x) are the values of x that satisfy either of these equations, which are:
x = -4 or x = 1
Thus,
The roots of the function g(x) are -4 and 1.
Learn more about functions here:
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Solve the following equation.
-12d - 6 = -2(d + 3) - 10d
Answer:
All real numbers
Step-by-step explanation:
Distribute the -2 to the parentheses:
-12d - 6 = -2(d + 3) - 10d
-12d - 6 = -2d - 6 - 10d
Add like terms:
-12d - 6 = -12d - 6
Since each side is equivalent to -12d - 6, the answer is all real numbers
Answer:
This is true for any value of d. (d ∈ Set of All Real Numbers (I couldn't find the symbol))
Step-by-step explanation:
1. Simplify both sides. You cannot simplify -12d - 6, but you can simplify -2(d + 3) - 10d. Use the distributive property to simplify this. It would be -2d + -2 * 3 -10d, which is equal to -12d - 6. If you simplify both sides, you would get that d=d, which would be true for all values of d, which means that d is equal to all real numbers, meaning that for any value for d, this would be true (d ∈ Set of All Real Numbers (I couldn't find the symbol)).
is -5(x-8)+2 equivalent to -5x-38
Answer:
Step-by-step explanation:
Yes!
Whoever gets this correct gets marked brainlest
Answer:
60 i think
Step-by-step explanation:
Does 2+1= 18? thank youuuu
Answer:
2 + 1 = 3
Step-by-step explanation:
Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because . Does Noah's method always work? Explain why or why not.
Answer:
Yes Noah's method will always work
Step-by-step explanation:
Noah's method states that:
To find 20% of a number he divides the number by 5. For example, 20% of 60 is 12.
Noah's method will always work because:
20% = 20/100
Simplifying 20/100 to the least fraction = 20/100 = 1/5
20% of x = 1/5 × x
= x/5 = x ÷ 5
Applying this to the examples
20% of 60 = 1/5 × 60
= 60/5 = 12.
Therefore, Noah's method will always work.
The average blink last one-tenth of a second. If you blink 14,000 times per day, for how many seconds are your eyes closed while you’re awake? Divide this number by 60 to determine the number of minutes per day your eyes are closed while awake. (2 pts.)
Answer:
14?
Step-by-step explanation:
what is the anser to the equation 2^{2x+2} = 2^{3x}
A) x = 2.5
B) x = 1
C) x = 2
D) x = -2
Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
Hello! Help please 5 questions for 17 points
1. 1/35 it goes up 35 and goes right 1
five more than three times a number is 26 what is the number
Answer:
The required number is 7
Step-by-step explanation:
Let a number = x
We are given the condition: five more than three times a number is 26
We need to find the number.
Writing the condition in mathematical form:
five more than three times a number is 26: [tex]3x+5=26[/tex]
Now, solving this equation we can find x, the number
[tex]3x+5=26\\[/tex]
Subtract 5 from both sides
[tex]3x+5-5=26-5\\3x=21[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{21}{3}\\x=7[/tex]
So, we get: x = 7
The required number is 7
Angles X and Y form a linear pair. If the measure of angle X = 3x + 127 and the measure of angle Y = 5x - 11, find the measure of angle Y.
A)8
B)29
C)53
D)161
I need to find the missing exterior angle
Answer:
the mystery angle is 137
Step-by-step explanation:
45+60=105
180-105=75
37
137
180-137
43
180-43=137
the mystery angle is 137
PLZ HELPPP The statement below represents an equation.
Which equation is represented by this statemen
1. 1/n+6=1/4÷2
2. n/6=1/4+n/2
3. 1/n+6=1/4+n/2
4. n/6=1/4xn/2
/ is fractions
Answer: It number 4
Step-by-step explanation:
solve -3 + 1/2n = 1/2 (-n + 14) in 2 different ways 30 points if u answer and show your work.
Answer:
3
Step-by-step explanation:
12.12 ounces for 3 cups Unit rate
Answer:
4.04 oz per cup
Step-by-step explanation:
sry fam im not gonna give a step by step explanation cuz im in a rush, hope this is enough gl.
The perimeter of a square can be expressed by the function f(s) = 4s, where s is the length of the side in inches.
How do the mathematical domain and reasonable domain compare?
Answer:
Mathematical domain is all numbers, as all numbers can be multiplied by 4. However, this is not reasonable as negative lengths don't exist, so the reasonable domain would be all positive numbers.
Solve for x : 4/5 x − 2 = 7
Answer: x = 45/4
Step-by-step explanation:
Answer:
11 1/4 simplified form
45/4 exact form
11.25 decimal form
Find the area of 6cm 13cm
Answer:
the area of this rectangle is 78cm
Step-by-step explanation:
formula;
area=length ×width
a=13×6
a=78cm
|-1
someone please answer this!!
Answer:
-1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Im guessing abs value so 1?
What is the equivalent of 6x - 12 ?
Answer:
6(x−2)
Step-by-step explanation:
Factor 6x−12
6x−12
=6(x−2)
2,034627 rounded to the nearest hundread thousand
Answer:
2,000,000
Plzzzzz give me Brainliest!!!!!
help read the instructions
Answer:
Step-by-step explanation:
1. Fig.2 is harder to drive on. Because the gravity is pulling you to opposite direction. Thats why there's no such roads on hills, they always go round and round to make the roads easier to drive on.
2. Fig.2 will build up more speed, because gravity will pull unidirectional from you.
3. (Realitiscally) no, DONT TEXT AND DRIVE. Even if you are driving on a flat ground.
4. No, of course not. In situation no.1 and 2, you can drive like that because there is gravitational pull coming from x and y axis. But from situation no.4, the gravitational pull is from y axis only, so it will only pull you down.
Choose which expression doesn’t belong? State your reasoning.
Answer:
Step-by-step explanation:
This warm-up prompts students to carefully analyze and compare quadratic expressions. In making comparisons, students need to look for common structure and have a reason to use language precisely (MP7, MP6). The activity also enables the teacher to hear the terminology students know and how they talk about characteristics of the different forms of expressions.
As students discuss in groups, listen for rationales that are based on the structure of the expressions. Select those students or groups to share their thinking during class discussion.
Launch
Arrange students in groups of 2–4. Display the expressions for all to see. Give students 1 minute of quiet think time and then time to share their thinking with their small group. In their small groups, ask each student to share their reasoning about why a particular item does not belong, and together find at least one reason each item doesn't belong.
Student Facing
Which one doesn’t belong?
A.
B.
C.
ΔΔΔ⇔∈㏒㏒∞⇅⊃⊂↓∵↔→∨∧±×∛√Фπ(b)
Work out the value of
3 x 10 x 40 000 000
Give your answer in standard form,
3 * 10 = 30
30 * 40,000,000 = 1,200,000,000
ONE BILLION TWO HUNDRED MILLION
Multiply 3 times 10 first, then 30 times 40,000,000 and you get 1,200,000,000
Hope this helps ^-^
Determine whether the following graph represents a function.
A. Function
B. Not a function
Answer:
B. not a function
Step-by-step explanation:
A function is a set of data in which no x values repeat, but where y values may or may not repeat.
Can anyone help mee!!!
Answer: I want to say 30 degrees you have to put the degree simble
Step-by-step explanation:
brainly and points :)
Answer:
Step-by-step explanation:
the volume of the cone=1/3 * 3.14*h*r^2= aprox 226 cubic inches
choice 3
Answer:
C
Step-by-step explanation:
I hope this helps you :)
(8b^2/3*9t^3/5)(8b^5/3*9t^3/5)
Answer:
5,184•b•t^6/5
Step-by-step explanation:
Here, we want to multiply the expressions
According to indices law, if we have same bases, we add up the exponents
Thus, we have that;
8 *8b^(2/3+5/3) * 9 * 9 * t^(3/5+3/5)
= 64 * b * 81 * t^6/5
= 5,184bt^6/5
Which expression represents "the product of a and b decreased by 9"?
A. ab - 9
B. 9 - ab
C. a:b-9
D. a = (b - 9)
PLEASEEEE ANSWERRRR!!
Answer:
the answer is A
Step-by-step explanation:
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26500 kilograms. Other shipments weighing 5300 kilograms have already been loaded into the container. Which inequality can be used to determine c, the greatest number of 100-kilogram crates that can be loaded onto the shipping container? Submit Answer 100c + 5300 26500 1000 + 5300 < 26500 26500 > 100(5300 + c) 26500 < 100(5300 + c)
Answer:100c+5300<26500
Step-by-step explanation:
We are required to find the greatest number of 100-kilogram crates that can be loaded onto the shipping container
The the greatest number of 100-kilogram crates that can be loaded onto the shipping container is 212 crates
Greatest weight that can be loaded = 26500 kilograms
Weight of each crate = 100 kilogram
Weight of other shipment = 5300 kilograms
let
c = the greatest number of 100-kilogram crates that can be loaded
The inequality is
26500 ≥ 5300 + 100c
26500 - 5300 ≥ 100c
21200 ≥ 100c
c ≥ 21200 / 100
c ≥ 212
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