Answer:
f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx
General Formulas and Concepts:
Order of Operations: BPEMDASDistributive PropertyExpand by FOIL (First Outside Inside Last)Combining like termsStep-by-step explanation:
Step 1: Define function
f(x) = x² + 3x³
f(x + h) is x = x + h
Step 2: Simplify
Substitute: f(x + h) = (x + h)² + 3(x + h)³Expand by FOILing: f(x + h) = (x² + 2hx + h²) + 3(x + h)³Rewrite: f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)Expand by FOILing: f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)Distribute/Expand: f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)Distribute 3: f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)Combine like terms: f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hxMandy makes beaded bracelets and sells them for $5 each. If she sells the bracelets for 250% of the cost of her materials, how much does each bracelet cost to make?
Each bracelet costs $
to make.
Answer:
Each bracelet cost $2 to make.
Step-by-step explanation:
I did the assignment.
Answer:
$2
Step-by-step explanation:
(Brainliest plz) if im right
Only number 12 plz I’ll give brainliest(ASAP)
Answer:
120 m/h
120 m/(3600 seconds)
(1/3)m/s
15 * (1/3) = 5
He travels 5 miles in 15 seconds
Step-by-step explanation:
(3x - 2)
(10x - 11)
(3x + 1)
Solve for the value of x.
Answer:
1. 2/3
2. 11/10
3. 1/3
hope it helps
The atomic number of an element B is 17. The number of electrons in its ion B will be:
(a) 17 (b) 18. (c) 19. (d) 20.
answer with explanation
Answer:
18
Step-by-step explanation:
don't step answer. Because I am lol
Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?
9514 1404 393
Answer:
domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line testStep-by-step explanation:
The domain is the list of x-values of the points on the graph. It is ...
{-5, -4, 2, 5}
The range is the list of y-values of the points on the graph. It is ...
{-6, 1, 3, 4, 5}
__
Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.
If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.
You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2 gallons of gasoline. Another car is red. It can travel 25 3/5 on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Question:
You are running a fuel economy study. One of the cars you find is blue. It can travel [tex]44\frac{1}{2}[/tex] miles on [tex]1\frac{1}{4}[/tex] gallons of gasoline.
Another car is red. It can travel [tex]25\frac{3}{5}[/tex] on [tex]\frac{4}{5}[/tex] gallon of gasoline.
What is the unit rate for miles per gallon for each car?
Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
(a)
[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]
[tex]Rate = 32\ miles\ per\ gallon[/tex]
(b)
The blue car will travel faster
Step-by-step explanation:
Given
Blue Car:
[tex]Distance = 44\frac{1}{2}\ miles[/tex]
[tex]Gasoline = 1\frac{1}{4}\ gallons[/tex]
Red Car
[tex]Distance = 25\frac{3}{5}\ miles[/tex]
[tex]Gasoline = \frac{4}{5}\ gallons[/tex]
Solving (a):
This is solved by dividing the distance travelled by the amount of gasoline.
i.e.
[tex]Rate = Distance/Gasoline[/tex]
Blue Car:
[tex]Rate = 44\frac{1}{2} / 1\frac{1}{4}[/tex]
[tex]Rate = \frac{89}{2} / \frac{5}{4}[/tex]
[tex]Rate = \frac{89}{2} * \frac{4}{5}[/tex]
[tex]Rate = \frac{89}{1} * \frac{2}{5}[/tex]
[tex]Rate = \frac{89 * 2}{1 * 5}[/tex]
[tex]Rate = \frac{178}{5}[/tex]
[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]
Red Car:
[tex]Rate = 25\frac{3}{5}/\frac{4}{5}[/tex]
[tex]Rate = \frac{128}{5}/\frac{4}{5}[/tex]
[tex]Rate = \frac{128}{5} * \frac{5}{4}[/tex]
[tex]Rate = \frac{128 * 5}{5 * 4}[/tex]
[tex]Rate = \frac{128}{4}[/tex]
[tex]Rate = 32\ miles\ per\ gallon[/tex]
(b)
In (a), we have:
[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex] --- Blue Car
[tex]Rate = 32\ miles\ per\ gallon[/tex] --- Red Car
By comparison:
The rate of the blue car is greater than that of the red
Hence, the blue car will travel faster
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
11
Answer:
use a2+b2=c2 so
Step-by-step explanation:
11(squared)+b(squared)=13(squared)
=121+b2=169
-121. -121
b2= 48
square root 48
Side B= 6.928
and then just round 6.928
hope this helped
Using the Pythagorean Theorem, it is found that the side length is of x = 6.93.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, we have that:
[tex]h = 13, l_1 = 11, l_2 = x[/tex]
Hence, applying the Theorem:
[tex]h^2 = l_1^2 + l_2^2[/tex]
[tex]13^2 = 11^2 + x^2[/tex]
[tex]x^2 = 169 - 121[/tex]
[tex]x = \sqrt{48}[/tex]
x = 6.93.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675
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The product of 3 x is less than 9
Please help! ! ! ! !
help!!
3x+6x+14=41
Solving Multi-Step Equations by Combining Like Terms
Answer:
x = 3
Step-by-step explanation:
Given
3x + 6x + 14 = 41, that is
9x + 14 = 41 ( subtract 14 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Answer:
x=3
Step-by-step explanation:
3x+6x+14=41
9x + 14 = 41
- 14 = - 14
9x = 27
x=3
What is the slope of the line graphed
Explain answer
GIVING BRAINIEST
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line
m = [tex]\frac{6-0}{0+3}[/tex] = [tex]\frac{6}{3}[/tex] = 2
Answer:
The slope of the line is 2. To find the slope I marked two points on the line, which were (-3, 0) and (-2, 2). Then I used the [tex]\frac{Rise}{Run}[/tex] technique. Moving up 2 units and to the right 1 unit, which would be represented by [tex]\frac{2}{1}[/tex].
please help me please
Answer:
42
Step-by-step explanation:
4x + 2 = 1/2 (4x + 44) Be careful how you do this. I have multiplied both sides by 2
2(4x + 2) = 4x + 44 Remove the brackets (distributive)
8x + 4 = 4x + 44 Subtract 4x from both sides
8x-4x + 4 = 44
4x + 4 = 44 Subtract 4 from both sides
4x + 4-4 = 44-4
4x = 40 Divide by 4
4x/4 = 40/4
x = 10
The mid line is 4x + 2
The mid line is 4*10 + 2
The mid line is 40 + 2
The mid line is 42
The base is 4x + 44
The base is 4*10 + 44
The base is 40 + 44 = 84 which is twice the midline. I did this just to show it is twice as big as the midline.
68/125 Write a fraction as an equivalent fraction with a power of 10 in the denominator.Then write the fraction as a decimal
Answer:
[tex]\huge\boxed{\dfrac{68}{125}=0.544}[/tex]
Step-by-step explanation:
[tex]\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544[/tex]
please help! due soon :(
Answer:
60 degrees. Aaaaaaaaaa
what is the measure of ABC?
Answer:
ABC = 55°
Step-by-step explanation:
Angle A plus Angle C equals Angles B.
Add them together then subtract from 180°.
PLS HELP I GET EXTRA CREDIT AND EXPLAIN IN FULL DETAIL!!!!!
You have $18 to buy peppers. Peppers cost $1.50 each. Write and solve an inequality that represents the numbers of peppers you can buy.
the inequality would be 18>1.5x
this basically means $18 is greater than or equal to 1.5x, where x is the number of peppers you buy at $1.50 for each pepper. So you can buy any amount of peppers from 0 to 12. If you want to make the inequality better it would be 18>1.5x>0 because you can't buy less than 0 peppers
help me how do I solve 2(m+3) =22
Answer:
m = 8
22/2 = 11
11 - 3 = 8
m = 8
The gas tank in sampson car has a capacity of 19.1 gallons . on a Tripp to see his cousin , Sampson begins with 12.8 gallons if gas in the tank he stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons. When sampson arrives at his cousins house he has 3.7 gallons of gas left. How much gas , did sampson use on his trip
Answer:
23.5 gallons
Step-by-step explanation:
The gas tank in Daniel's car has a capacity of 19.1 gallons.
On a trip to see his best friend Daniel begins with 12.8 gallons of gas in the tank.
He stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons.
When Daniel arrives at his friend's house, he has 3.7 gallons of gas left.
Total amount of gas filled was (12.8 + 14.4) = 27.2 gallons.
The amount of gas remaining after the trip was 3.7 gallons
The amount of gas, in gallons, used by Daniel on his trip was 27.2 - 3.7 = 23.5 gallons
Answer:
fat nuts
Step-by-step explanation:
i forgor
This table represents a linear function. Find the missing values to complete the table.
Answer:
(2,5) and (7,12.5)
Step-by-step explanation:
Solve for change in y over change in x using the points (3,13/2) and (6,11). You can then get the equation y=1.5x+2. Then plug in the values you are given from the missing points using the equation. Hope this helped! If it did, please mark the brainliest.
Write an expression
You charge $10.50 per hour to babysit and you spent $15 on
candy.
Answer:
10.50x + 15 = y
Step-by-step explanation:
x = amount of hours spent babysitting.
y = total amount of money.
Notebooks cost $1.39 each. What are the possible numbers of notebooks that can be purchased with $10
Answer:
7
Step-by-step explanation:
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Answer:
7 notebooks
Step-by-step explanation:
The total for the nine will be 9.73 I’d you get 8 notebooks it will be 11.12 with us too much.
What is 254−−√+524−−√ in simplified radical form?
Enter your answer in the box.
Answer:
Step-by-step explanation:
2√54+5√24
2 * sqrt(9*6) + 5*sqrt(4*6)
2*sqrt(9) *sqrt(6) + 5*sqrt(4) * sqrt(6)
2*3 sqrt(6) + 5*2 sqrt(6)
6sqrt(6)+10sqrt(6)
16sqrt(6)
Answer:
16sqrt(6)
Step-by-step explanation:
what is 30% as a fraction in simplest form.
Answer:
3/10
Step-by-step explanation:
3/10
In simplest form, 30% as a fraction is 3/10. We know that 30% = 30/100
A sporting goods store has 4 catchers mitts, 28 baseball gloves , 52 bats and 96 baseball in stock. What is the ratio of baseballs to baseball gloves
96:28
96 baseballs to 28 baseball gloves
PLEASE HELP ASAP
Which criteria can be used to prove triangles are congruent? Select all that apply.
A.) ASA
B.) AAS
C.) SAS
D.) SSA
E.) HL
Answer:
A, B, C, and E
Step-by-step explanation:
SSA doesn't work because this leaves room for two possible answers in some situations.
The other postulate, HL (hypotenuse-leg) works for right triangles; it's basically a short cut for SSS postulate because if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg on another, the other side also has to be congruent.
The criteria can be used to prove triangles are congruent: ASA, AAS, SAS and HL.
What is Congruence in Triangles?If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.
Two triangles are said to be congruent if they are of the same size and same shape.
Necessarily, not all the six corresponding elements of both the triangles must be found to determine that they are congruent.
Based on studies and experiments, there are 5 conditions for two triangles to be congruent.
They are SSS, SAS, ASA, AAS, and RHS congruence properties.
The postulate, known as HL (hypotenuse-leg), is applicable to right triangles.
As if a right triangle's hypotenuse and leg are congruent with those of another, then the other side must likewise be congruent.
Learn more about congruence of triangles here:
https://brainly.com/question/20521780
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HELP! WILL MARK BRAINLIEST, PAST DUE!!!
Answer:
1/2 and - 1/2
Step-by-step explanation:
umm ok so for slope you do m = y2-y1/ x2-x1 which can probably be any point since they havent specified so we will do
A) L (-8,8) and (0,4)M
m= 4-8/0-8
=-4/-8
= 1/2
B ) now for b its asking for the certain points of
n and p
(4,2) N and (8,0) P
m= y2-y1/x2-x1 = 0-2/8-4= -2/4 = - 1/2 for ur slope
these should be right.
Use the Distributive Property to expand the expression you obtained in part B.
The expression is 2(100 − x).
Answer:
The expression 2(100 − x) expands to 200 − 2x.
Step-by-step explanation:
2(100) − 2(x).
Multiply within each term:
200 − 2x.
Answer:
2(100 − x)
Distribute the 2:
2(100) − 2(x).
Multiply within each term:
200 − 2x.
The expression 2(100 − x) expands to 200 − 2x.
Step-by-step explanation:
Mark me brainliest please?
Simplify the following expression.
5.3x − 8.14 + 3.6x + 9.8
A.
8.9x + 17.94
B.
8.9x + 1.66
C.
-2.84x + 17.94
D.
-2.84x − 1.66
Answer:
the answer is B
Step-by-step explanation:
Solve the equation using square roots.
2(x + 1)2 - 7 = 25
solution: x=
x=7
I'm sorry if I'm wrong
Jim is baking chocolate chip muffins. He has a total of 7 1/3 cups of chocolate chips, if each batch of muffins uses 2/3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can make?
Answer: 11 batches of muffins
Step-by-step explanation:
From the question, we are given the information that Jim is baking chocolate chip muffins and that he has a total of 7 1/3 cups of chocolate chips, and each batch of muffins uses 2/3 of a cup of chocolate chips.
The most number of batches of muffins that Jim can make will be gotten by dividing 7 1/3 by 2/3. This will be:
= 7 1/3 ÷ 2/3
= 22/3 ÷ 2/3
= 22/3 × 3/2
= 11
Jim can make 11 batches of muffins.
