Answers
Because a cubic function is a polynomial function, which are continuous curves, the domain of a cubic function is all real numbers.
Do cubic functions possess three roots?All odd-degree polynomials have at least one real root; a cubic function has one to three real roots, which may or may not be distinct. A cubic function's graph always has one inflection point. It might have a local minimum and local maximum as its two critical points.
What are the cubic function's minimum and maximum?The cubic function [tex]f(x) = x^3 + x^2 + x + 1[/tex] has a local maximum at x = 1 and a local minimum at x = 1/3. A cubic function can also have two local extreme values (1 max and 1 min).
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Related Questions
Bags of sugar come in 3 sizes.
Small bag: A 175 g bag costs 55p.
Medium bag: A 525 g bag costs £1.76.
Large bag: A 1.15 kg bag costs £3.51.
Find the cost per gram for each bag of sugar.
Round your answers to 3dp.
Answers
Answer:
The cost per gram for each bag is:
Small bag: 0.00314 £
Medium bag: 0.00335 £
Large bag: 0.00305 £
Step-by-step explanation:
Small bag:
If 175 g cost 0.55 £, 1 g will be:
[tex] \frac{1g*0.55 \£}{175\: g} = 0.00314 \£[/tex]
Medium bag:
If 525 g cost £ 1.76, 1g will be:
[tex] \frac{1g*1.76 \£}{525\: g} = 0.00335 \£[/tex]
Large bag:
If 1150 g cost £ 3.51, 1g will be:
[tex] \frac{1g*3.51 \£}{1150\: g} = 0.00305 \£[/tex]
I hope it helps you!
a Toyota Yaris goes 15 km on one litre of petrol how much petrol will it need to get to paga from bawku,120km
Answers
Answer:
8 litre
Step-by-step explanation:
very simple 120÷15=8
hope it helps you
please mark me as brainlist
5y+3y????????????????????
Answers
Answer:
8y
Step-by-step explanation:
It's really simple! Because both of the variables are the same, You can just add it!
Hope this helps ^^
to find the value of r, Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). How could this help Stephen reason the value of r? Explain your reasoning.
PLZ HELP ASAP
Answers
Answer: See explanation
Step-by-step explanation:
We are informed that Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). This is quite thoughtful of Stephen and it's an easier way to solve the question.
In this case, 3 is a common factor to 3r, 18 and 27. Therefore, we will then have: 3(r - 6) = 3(9).
Since 3 is a common base to both, we are more concerned with the values inside the brackets. This will be:
r-6 = 9
r = 9 + 6
r = 15
Check: 3r - 18
3(15) - 18 = 45 - 18 = 27
A. 6.2 cm2
B. 12.4 cm2
C. 3.1 cm2
D. 9.4 cm2
please answer!! will give brainliest!
Answers
Answer:
The answer is "Option A".
Step-by-step explanation:
[tex]\to Base= 2 \ cm\\\\\to height=3.1 \ cm\\\\[/tex]
Formula:
[tex]\bold{Area= base \times height}\\\\[/tex]
[tex]=2 \times 3.1 \\\\= 6.2 \ cm^2[/tex]
if the height value is 3 then area is =6
b) A triangle-based prism
12.7 cm
8 cm
9 cm
9 cm
Volume:
Surface Area:
What is the volume and surface area
Answers
Answer:
Step-by-step explanation:
9²+9²=162
√162 ≈12.7
so base is a right angled triangle with sides 12.7,9,9
area of base and top=2×1/2×9×9=81 cm²
area of sides=(9+9+12.7)×8
=30.7×8=245.6 cm ²
total surface are =81+245.6=326.6 cm²
volume=1/2 ×9×9×8=324 cm³
Find the Area Please
Answers
This should be the correct answer
Heidi’s older sister needs to take either Chemistry (C), Geometry (G), or Physics (P) this year. She can take the class during any one of six periods (1 through 6). Is there more than one way to draw a tree diagram to model this situation? Explain.
Answers
Answer:
Yes. You can make a tree diagram with each subject at the top and the periods as the branches or with the periods at the top and each subject as a branch. Both ways provide the same number of outcomes, 18
Step-by-step explanation:
No, there is only one way to draw a tree diagram to model this situation.
What is Combination?An arrangement of objects where the order in which the objects are selected does not matter.
No, there is only one way to draw a tree diagram to model this situation. The reason for this is that the choices for the classes and periods are mutually exclusive and exhaustive.
Starting with the first branch, there are three possible classes (C, G, or P) that the sister can take.
From each of these branches, there are six possible periods (1 through 6) that the sister can take the class.
Therefore, the tree diagram will have 3 branches at the top level, each with 6 branches at the next level, for a total of 18 possible outcomes.
If we try to draw a different tree diagram, we will end up with the same possible outcomes, just with a different arrangement of the branches.
Hence, there is only one way to draw a tree diagram to model this situation.
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Can you prove these similar triangle step by step?
Answers
Answer:
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. the remaining sets of angles will be congruent and the remaining corresponding sides will be in proportion.
hopes this helps
Step-by-step explanation:
I feel like I’m wrong and if I am can someone correct me? Thank you!
Answers
(10x-4) + ( -7 + x )
Answers
A quadrilateral had two angles thst measure 260degrees amd 50 degrees. The other two angles are in a ratio of 2:3. What are the measures of those two angles.
Answers
Step-by-step explanation:
Here's another solution.
360-275-20=65
ratio 3:10
3x+10x=65
13x=65
x=5
5*3=15° and 5*10=50°
15° and 50° are the other two angles
What is the equation, in point-slope form, of the line passing through the point (5, -3) with a slope of 1/7?
y + 3 = (x - 5)
y - 3 = (x + 5)
y - 3 = 7(x + 5)
y + 3 = 7(x - 5)
Answers
Answer:
Step-by-step explanation:
None of the choices has a slope of 1/7
Which expression represents "9 more than x"?
A. x−9
B. 9⋅x9
C. 9−x
D. x+9
Answers
Answer:
C. 9 - x
Step-by-step explanation:
We are given a sentence expression : 9 more than x.
Let's go over all the expressions and what they say as a setnence.
A. x - 9
This would be x more than 9, since the original number of x is way higher than 9. Making this answer incorrect.
B. 9 * x^9? (I am assuming)
This would be 9 times x, not even the correct property.
C. 9 - x
This would be 9 more than x, though you could say it's addition, the value of 9 is more than x, hence making it subtraction.
D. x + 9
This would be 9 plus x, no number has an official value than another.
Find tan e
53
45
8
28
A. B.
Ο Ο
D.
< PREVIOUS
Answers
TAN: 45/28
SIN: 45/53
COS: 28/53
sin(x°) = opposite/hypotenuse
cos(x°) = adjacent/hypotenuse
tan(x°) = opposite/adjacent
x is any degree measure.
Hence option C (45/28) is correct
What are trigonometric rations?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios (sec). Trigonometry is the branch of mathematics concerned with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are assessed in terms of sides and angles.
How to solve ?
Given θ
∴tan θ=[tex]\frac{Perpendicular}{Base}[/tex]
=45/28
= option c
Hence option C (45/28) is correct
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PLEASE HELP QUICK IF I DONT GET HELP I WILL FAIL, IVE GOTTEN NO HELP PLEASE!! I HAVE 10 MINS. The function that represents the amount of caffeine, in milligrams,
remaining in a body after drinking the two Mountain Dew sodas is given
by f(t) = 110(0.8855)^t where t is time in hours. How much caffeine is left in
a person’s body 10 hours after drinking two Mountain Dew sodas?
Answers
Answer:
Step-by-step explanation:
f(10) = 110×0.8855¹⁰
You can do the math.
Answer:
32.6045597492
Step-by-step explanation:
110(.8855)^10
WILL GIVE BRAINLIEST!!!!
3. The nth term of a Sequence is given by an =
n/n+2
If the Domain of the Sequence is {1,2,3,4,5} choose the correct range of the Sequence
Answers
Answer:
answer b :) i hope this helps
javier walks from his home at point k to the internet cafe at point 0. if the school at point w is exactly halfway between javier's house and the internet cafe, how far does javier walk?
Answers
Answer:
actually need the numericals but attached
Step-by-step explanation:
if we take it as 1 km then it would be
home to cafe = 1 km
cafe to school =
[tex] \frac{1}{2} [/tex]
so it will be 1 + 1/2 that is
[tex]1 \frac{1}{2} km[/tex]
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6 students equally shared 1/2 of a pan of brownies what fraction of a whole pan a brownies did each student eat?
A. 12
B. 3
C. 1 /12
D. 1/3
Answers
Answer:
The answer would be D
Step-by-step explanation:
Match the following.
1. equilateral triangle
2. rectangle
3. circle circumference
4. trapezoid
5. parallelogram
6. triangle
7. regular polygon
8. circle area
Answers
1. A = 1/4s squared, square root of 3
2. A = bh
3. A = pi(r) squared
4. A = 1/2 h (b1+ b2)
5. C = pi(d)
6. A = base x altitude
7. A = 1/2(ap)
8. A = 1/2(bh)
- regular polygon
- trapezoid
- rectangle
- parallelogram
- circle circumference
- equilateral triangle
- circle area
Answer:
Answers are below.
Step-by-step explanation:
1. Equilateral triangle - A = 1/4 s^2 √3
2. Rectangle - A = bh
3. Circle circumference - C = πd
4. Trapezoid - A = 1/2 h (b1 + b2)
5. Parallelogram - A = base x altitude
6. Triangle - A = 1/2 bh
7. Regular polygon - A = 1/2 ap
8. Circle area - A = πr^2
Hope this helps.
The array below represents the temperatures (in degrees Fahrenheit) of certain points on theinterior and boundary of a metal plate:
30 30
15 T1 T2 45
15 T3 T4 45
60 60
Assume that the temperature at each point is theaverageof the temperatures at the four neighboring points(left, right, above, and below).Set up (do not solve)a system of four linear equations whose solution gives the four temperature T1,T2,T3, andT4. (Your linear equations should all be written instandard form, meaning a linear combination ofthe variables set equal to a constant.)
Answers
Answer:
[tex]4T1 - T3 - T2= 45[/tex]
[tex]4T2- T1 - T4 = 75[/tex]
[tex]4T3- T1 - T4 = 75[/tex]
[tex]4T4 - T2 - T3= 105[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cccc}{ } & {30} & {30} & { } & {15} & {T1} &{T2} & {45} & {15} & {T3} & {T4} & {45} & {} & {60} & {60} & {} \ \end{array}[/tex]
Required
Set up 4 linear equations to solve for T1,T2,T3, andT4
From the question, we understand that each temperature is the average of the 4 surrounding temperatures.
So, we have:
For T1, the surrounding temperatures are: 30, 15, T3 and T2.
The average is:
[tex]T1 = \frac{1}{4}(30 + 15 + T3 + T2)[/tex]
[tex]T1 = \frac{1}{4}(45 + T3 + T2)[/tex]
Multiply through by 4
[tex]4T1 = 45 + T3 + T2[/tex]
Equate variables to constant
[tex]4T1 - T3 - T2= 45[/tex]
For T2, the surrounding temperatures are: T1, T4, 45 and 30.
The average is:
[tex]T2 = \frac{1}{4}(T1 + T4 + 45 + 30)[/tex]
[tex]T2 = \frac{1}{4}(T1 + T4 + 75)[/tex]
Multiply through by 4
[tex]4T2 = T1 + T4 + 75[/tex]
Equate variables to constant
[tex]4T2- T1 - T4 = 75[/tex]
For T3, the surrounding temperatures are: 60, 15, T1 and T4
The average is:
[tex]T3 = \frac{1}{4}(60 + 15 + T1 + T4)[/tex]
[tex]T3 = \frac{1}{4}(75 + T1 + T4)[/tex]
Multiply through by 4
[tex]4T3 = 75 + T1 + T4[/tex]
Equate variables to constant
[tex]4T3- T1 - T4 = 75[/tex]
For T4, the surrounding temperatures are: 60, 45, T2 and T3
The average is:
[tex]T4 = \frac{1}{4}(60 + 45 + T2 + T3)[/tex]
[tex]T4 = \frac{1}{4}(105 + T2 + T3)[/tex]
Multiply through by 4
[tex]4T4 = 105 + T2 + T3[/tex]
Equate variables to constant
[tex]4T4 - T2 - T3= 105[/tex]
So, the equations are:
[tex]4T1 - T3 - T2= 45[/tex]
[tex]4T2- T1 - T4 = 75[/tex]
[tex]4T3- T1 - T4 = 75[/tex]
[tex]4T4 - T2 - T3= 105[/tex]
After two six-sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?
0.222
0.139
0.167
0.083
Answers
Answer:
0.222
Step-by-step explanation:
out of 36 outcomes you have 8 possible outcomes for a '4' or '6':
1,5
5,1
3,3
2,4
4,2
2,2
1,3
3,1
8/36 = 2/9 = .2 repeating
The probability that the dice faces add up to either 4 or 6 is 0.222.
What is Probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Here, After two six sided dice are rolled,
Hence, Total outcomes = 36
So, Probability of getting sum 4 that is, {(1, 3), (2, 2), (3, 1)};
P = 3/36
And, Probability of getting sum 6 = 5/36
Hence, Total Probability of getting sum either 4 or 6 = 3/ 36 + 5/36
= 8/36
= 2/9
= 0.222
Thus, the probability that the dice faces add up to either 4 or 6 is 0.222.
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Tina found $4.75 at the bottom of her purse and added it to her wallet. She later bought milk and eggs for $6,55 and had
$5.43 left in her wallet
Tina wants to know how much money she had in her wallet before adding the amount she found in her purse (%). Choose ALL
equations in which x correctly represents the amount in her wallet before adding the amount she found,
A)
$6,55 - x + $4.75 - $5.43
B)
x + $4.75 - $6,55 - $5.43
C)
$5.43 -
$6.55 - $1.75 -
Eliminate
D)
$4.75 - $6.55 - $5.43 - X
E)
$5,43 - x + $4.75 - $6.55
Answers
Step-by-step explanation:
step 1. x + 4.75 - 6.55 = 5.43
step 2. looks like b is the only answer.
Answer:
i need help wit this
Step-by-step explanation:
18 Which expression below is equivalent to -3x + 5(x + 2)? Circle the
correct answer.
A 2x + 2
B.
-x+ 2
C 2x + 10
D
- 8x + 10
Kaitlin chose A as the correct answer. How did she get that answer?
Answers
Answer:
C
Step-by-step explanation:
First, use the distributive property to open the parentheses:
-3x + 5x + 10
2x + 10
The correct answer is C
Kaitlin forgot to use the distributive property on both the x and 2.
Hope this helps!
Poru
1. It is a relationship that compares two or more quantities
A. quantity
B ratio
C. fraction
D. colon
Answers
Because it has 2 or more quantities for different units for a measure. Hope this helps have a nice day :)
b. A 50A by 35ft residential
garden produces 1975
servings of food over the
course of a year. How many
servings of food per square
foot is this?
Answers
Answer:
1.13 food per square feet
Step-by-step explanation:
Given
Dimension: 50ft by 35ft
Servings = 1975
Required
Determine the amount per servings
First, we calculate the area.
[tex]Area = 50ft * 35ft[/tex]
[tex]Area = 1750ft^2[/tex]
Next, we calculate the amount per square foot.
This is:
[tex]Rate = \frac{Serivings}{Area}[/tex]
This gives;
[tex]Rate = \frac{1975}{1750}[/tex]
[tex]Rate = 1.13[/tex]
There are 6 thirds in 2 wholes. How many thirds are there in 6 wholes?
Answers
Answer:
there's 18 thirds in 6 wholes
The question below give me used to determine h, The high in feet of a model rocket t seconds after it is launched from a roof that is 48 feet in height.
H=-16t^2+128t+48
Which equation reveals the maximum height reached by the model rocket?
Choices/answers^^
Answers
Answer: the answer is B.
Step-by-step explanation:
The correct equation which reveals the maximum height reached by the model rocket is,
h = - 16 (t + 4)² - 304
What is Quadratic equation?
An equation of order 2 in highest variable is called a Quadratic equation.
Given that;
The equation is,
H = -16t² + 128t + 48
Now, The equation which reveals the maximum height reached by the model rocket is find as;
H = -16t² + 128t + 48
h = -16(t² + 8t) + 48
h = -16 (t² + 8t) + 256 - 256 + 48
h = -16 (t² + 8t + 16) + 256 + 48
h = -16 (t + 4)² + 304
Thus, The correct equation which reveals the maximum height reached by the model rocket is,
h = - 16 (t + 4)² - 304
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Find the missing length in the right triangle.
Answers
Answer:
10 ft
Step-by-step explanation:
By using the pythagorean theorem, we know that leg1 squared plus leg2 squared is equal to hypotenuse squared.
[tex]6^2+8^2=?^2\\36+64=?^2\\100=?^2\\10=?[/tex]
Answer: 10ft
Step-by-step explanation:
Pythagorean Theorem- In a right triangle, a²+b²=c² where: (image attached)
a=6ft ; b=8ft
6ft²= 36ft ; 8ft²= 64ft
36+64=100ft
√100= 10ft
Mr. Morales owns a tour bus company and just received the news that fuel prices are going to increase by 125% it is currently $3.40 per gallon what will the cost per cost per gallon after the increase
Answers
Answer:
Step-by-step explanation:
Your answer
Let me think. 125 %,,,. So 1.25* 3.4= 4.25
New price = 7.65
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