Answer:
[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Step-by-step explanation:
[tex]f(x)=3x^2 + 2x + 4[/tex]
[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]
[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Answer:
f(2) = 20
f(a+h) = 3a²+6ah+3h²+2a+2h+4
Step-by-step explanation:
f(x) = [tex]3x^2+2x+4[/tex]
A) Putting x =2
=> f(2) = 3(2)²+2(2)+4
=> f(2) = 12+4+4
=> f(2) = 20
B) Putting x = a+h
=> f(a+h) = 3(a+h)²+2(a+h)+4
=> f(a+h) = 3a²+6ah+3h²+2a+2h+4
If you flip three fair coins what is the probability you’ll get at least two heads?
Answer:
see below
Step-by-step explanation:
The possible outcomes of flipping 3 coins are:
HHH, HHT, HTT, TTT, HTH, THT, TTH, THH.
Out of these 8 there are 4 that will be successful so the probability is 4/8 = 1/2 or 50%.
50%
Answer and Explanation:
If you flip three fair coins, the probability that you'll get at least two heads is 4/8 or 0.50, which is 50%.
plz mark brainliest
Solve the equation using the Quadratic Formula: (Hint: You may select
more than one answer choice here) *
x2 – 5x + 6 = 0
Answer:
x = 3,2
Step-by-step explanation:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
please mark brainly
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
First we have to distinguish the whole numbers from the numbers with variables.
2x and 5x are numbers with variables, 6 and 0 are whole numbers.
Then we can seperate them on different sides of the equal sign.
To do this, we have to subtract 6 on the left side and add it to the right side.
Now our equation will be 2x - 5x = -6.
Now we can simplify this.
Starting on the left side, 2x - 5x equals to -3x.
The right side can not be simplified.
So, our equation will now be -3x = -6.
Now we can divide both sides together.
The easiest way to do this is by turning the equation into a fraction.
So it will be [tex]\frac{-3}{-6}[/tex].
Both equal signs cancel out, so the answer will be [tex]\frac{1}{2}[/tex].
Hope this helped :)
The Perfect square numbers between 100 and 200 are ____
Pls help.
Step-by-step explanation:
The perfect square numbers between 100 and 200 are :
10^2 =100
11^2 =121
12^2 =144
13^2 =169
14^2 =196
Which set of data could have been used to create the stem-and-leaf plot shown below?
64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92
6.4.7.9. 9.5, 8.3, 8.1, 9.0.6.7.8.6, 9.1, 8.4, 8.1,6.9, 8.3, 9.2
63,79,95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92
6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2
Human:
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ D.) 6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2
I WOULD APPRECIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
another one! what is 7x-8x=23? will mark brainliest!
Answer:
7x-8x=23
-1x=23
x=-23
Step-by-step explanation:
7x - 8x = 23
-x = 23
x = -23
......
Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent"?
Answer:
True
Step-by-step explanation:
Answer:
Step-by-step explanation:
20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than
$42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequality.
Answer:
(5, 8), (7, 1), (15, 3)
Step-by-step explanation:
a) The variables are defined in the problem statement. The total expenditure must satisfy ...
2.00x +3.50y ≤ 42.00
b) Possible solutions include ...
(x, y) ∈ {(5, 8), (7, 1), (15, 3)}
__
These were chosen by looking at the attached graph of the equation.
What is the area of the composite figure?
(6pi+4) cm
O(6pi+16) cm
0 (12pi +4) cm
0 (12pi+16) cm
2 cm
Answer: [tex]6\pi +4[/tex]
Step-by-step explanation:
The normal formula for area of a circle is [tex]\pi r^2[/tex] so remember it. Itll be important for the rest of your life. Now this isnt a normal circle, this is a semi circle. So, you should divide by 2.
Three Semi-Circles:
We are given the radius which is 2 cm. [tex]\frac{\pi2^2 }{2} =2\pi[/tex]
Now we gotta multiply that answer by 3 because there are three semi circles.
[tex](2\pi )(3)=6\pi[/tex]
Area of a Square:
This is simple, do [tex]s^2[/tex] to get 4
We could evaluate the expression 2(20+7) + 3(50+2) using the traditional order of operations, or we could use the distributive property. Do you think it would be more efficient to evaluate using the distributive property, or is it more efficient to use order of operations? Explain your answer.
Answer:
It is more efficient to use order of operations because with the distributive property, you would have to multiply four times and add once (5 things to do), whereas with order of operations, you have to add twice and multiply twice (4 things to do).
Step-by-step explanation:
if y=-4+11 and 3x+y=9 what is the value of y
[tex]y=-4+11=7\\y=7\\3x+7=9\\x=2/3[/tex]
Analyze the graphed function to find the local minimum and the local maximum for the given function. Which statements about the local maximums and minimums for the given function are true? Choose three options. Over the interval [1, 3], the local minimum is 0 Over the interval [2, 4], the local minimum is –8. Over the interval [3, 5], the local minimum is –8. Over the interval [1, 4], the local maximum is 0. Over the interval [3, 5], the local maximum is 0.
Answer:
Over the interval [2, 4], the local minimum is –8,Over the interval [1, 3], the local minimum is 0,and Over the interval [3, 5], the local maximum is 0.
Step-by-step explanation:
Answer:
B,C,D
Step-by-step explanation:
plz plz plz i really need this will mark biranleast
Triangle ABC is to be reflected across line m to create triangle A'B'C'.
Which best describes the location of B'?
4 units to the right of line m.
4 units to the left of line m.
8 units to the right of line m.
8 units to the left of line m.
Answer:
8 units to the right of line m
Step-by-step explanation:
when reflecting over a line, u count how many units is the pre-image away from the line in order to creat your image.
Answer:
4 units to the left of line m
Step-by-step explanation:
that's how I'm seeing it
What is the standard form of y – 8 = 2(x + 3)?
Question 14 options:
a)
y = 2x + 14
b)
2x + y = 14
c)
y – 2x = 11
d)
2x – y = –14
Answer:
A
Step-by-step explanation:
So first you would distribute the 2
y - 8 = 2x + 6
Then you add 8 to both sides
y = 2x + 14
So your answer is A
HELP ME PLZ!!
What is the maximum number of Go Math textbooks that can fit in Tier 1 given the measurements of the textbook below? Your answer must have work on how you did it OR an explanation.
Answer:
Step-by-step explanation:
lets find the volume of a go math book
V=LWH
V=10.75*8.5*1
V=10.75*8.5
V=91.375 inches^3
the amount of Go Math books that can fit in tier 1 is
(tier 1's volume)/91.375
then , round to the smallest whole number
(how many whole books you can fit in
I don't know tier 1's dimensions or volume, so I can't tel how many books exactly.
What is the solution to the system of equations?
2x - y = 7
y = 2x + 3
• (2, 3)
• (2.7)
• no solution
• infinite number of solutions
Answer:
no solution
Step-by-step explanation:
2x-y=7. value of y=2x+3
(insert the value of y in the first equation)
2x-(2x+3)=7
2x-2x=7-3
(2x-2x is non-existent thus the equation ends there)
Answer:
No Solution is the answer
Step-by-step explanation:
There is no way to solve this
4a. Classify the triangle below: 1st
name - a. Scalene b. Isosceles c.
Equilateral. 2nd name - a. Acute b.
Obtuse c. Right
4.8
4.8
45°
45°
6.8
Answer:
Right isosceles
Step-by-step explanation:
We have a right angle so the triangle is a right triangle
We have two sides that are equal so it is an isosceles triangle
WILL MARK BRAINLIEST! A pattern for a sequence is described as 'start with 12 and divide by −4 repeatedly'. Is this a geometric sequence? Explain. I only need like 2 sentences, at most a full paragraph.
Answer:
yes
Step-by-step explanation:
Yes, since 12 is multiplied by (-4)^-1 every time, and the definition of geometric sequence is that the first term has to be multiplied by a certain other constant number (referred to as common ratio (r)). The formula for a geometric sequence is An=A1R^(n-1)
in the equation y=4x which is greater? explain answer
Answer:
If x is greater than 0, then y is greater than x
For example:
x = 2 => y = 4(2) = 8, 8 > 2
x = 3 => y = 4(3) = 12, 12 > 3
If x is = 0, then y is equal to x, because x = 0 => y = 4x = 4(0) = 0 => x = y = 0
If x is less than 0, then y is smaller than x
For example:
x = -2 => y = 4(-2) = -8, -8 < -2
x = -3 => y = 4(-3) = -12, -12 < -3
Hope this helps!
The side length of a square patio is 2.59 meters. Which is the best estimate for the perimeter of the patio, in meters?
Hey there! I'm happy to help!
The perimeter is all of the sides of a shape added up.
Since all of the sides on a square are the same and we know one side, we just multiply it by four.
2.59(4)=10.36
Therefore, the patio is about 10.56 meters.
I hope that this helps! :D
Answer:
The best estimate is 10. Trust me, I did this assessment too.
Step-by-step explanation:
2.59 x 4 = 10.36. So it's 10.
a certain Forest covers an area of 2000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?
1 GEOMETRY - 1206310)
. An angle expression in an equilateral triangle is 3x + 12. What is the value of X?
Answer:
16
Step-by-step explanation:
The angle in an equilateral triangle is given as:
3x + 12
The angle is an equilateral triangle is 60°. Therefore:
3x + 12 = 60
=> 3x = 60 - 12 = 48
x = 48 / 3 = 16
x is 16
Can someone please help me I am almost done with this
Hey!!
{12,13,25} is not a Pythagorean triple
please see the attached picture for full solution
hope it helps
What is the slope of a line that is perpendicular to 6x + 3y = -9?
A 2
B. 1
w
C. -2
D.
Ninh
1
Please select the best answer from the choices provided
Answer: 1/2
Step-by-step explanation:
The equation given is simplified into y= -2x-3. The slope being -2. When a line is perpendicular you find the opposite inverse. That being -1/2. You flip the top and bottem and top numbers of the fraction. Then make it (positive or negative) opposite of the original slope value. Making it now positive 1/2
Which of the following represents a 1.00 M (M = mol/dm3) aqueous solution of glucose (C6H12O6)?
A. 180 g glucose per 1000 cm3 solution
B. 10.0 g glucose per 10.0 cm3 water
C. 90.0 g glucose per 500 cm3 water
D. 0.100 g glucose per cm3 solution
Answer:
Option C. 90.0 g glucose per 500 cm3 water
Step-by-step explanation:
1.00 M (mol/dm3) aqueous solution of glucose (C6H12O6) means that 1 mole of glucose is dissolved in 1dm³ (1000cm³) of water.
The concentration of a substance is defined as the mole of solute per unit volume of solvent (water) in dm³.
Option A is wrong since it state: 180g of C6H12O6 per 1000cm³ of solution. Concentration is always expressed as per 1000cm³ or dm³ of water.
For option B:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 180g/mol
Mass of C6H12O6 = 10g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 10/180 = 0.056 mole.
Volume of water = 10cm³ = 10/1000 = 0.01dm³
Concentration = mole /Volume
Concentration = 0.056/0.01 = 5.6mol/dm³
Option B is wrong
For option C:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = 180g/mol
Mass of C6H12O6 = 90g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 90/180 = 0.5mole
Volume of water = 10cm³ = 500/1000 = 0.5dm³
Concentration = mole /Volume
Concentration = 0.5/0.5 = 1mol/dm³
Option C is correct.
For option D is wrong as well as it states 0.1g of C6H12O6 per cm³ of solution. Concentration is always per 1000cm³ or dm³ of water.
From the above illustrations, option C is the correct answer.
2. A system of equations is solved by finding the intersections of when f(x) = g(x).
False
True
Answer:
true
Step-by-step explanation:
hard to explain,
hope it helps
It is true that when f(x) = g(x), the system of the equation is solved.
A statement to justify that A system of equations is solved by finding the intersections of when f(x) = g(x).
The equation is the relationship between variables as is an example of a polynomial equation.
Let, f(x) = ax+ by - - - - ( 1 )
g(x) = cx + dy - - - - -( 2 )
Both equations contribute to systems of equation.
When solving both equations ( 1 ) and ( 2 ).
We get values of x and y this x and y when put in the equation ( 1 ) and ( 2 ) we will get the same result and the result implies f(x) = g(x). So, it is true that when the system of equation is solved by intersections f(x) = g(x).
Thus, It is true that when f(x) = g(x), the system of the equation is solved.
Learn more about the equation here:
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4 - (-3) simplify the expression
Answer:
7
Step-by-step explanation:
4-(-3)=4+3 (negative times negative is positive)
4+3=7
Hope that helps!
WILL GIVE BRAINIEST! Triangle ABC is isosceles with AB = BC. If AC = 20 and {ABC} = 240, then find the perimeter of triangle ABC.
Answer:
72
Step-by-step explanation:
Since the triangle's area is 240, the base * height must equal 480 because for the area of a triangle it is half of that. Since you know that the base AC = 20, find out what you can multiply by 20 to get 480. This gives you a result of 24. Now that the height is found divide the triangle into two right triangles. Now Just use the pythagorean theorem to find the legs of the triangles. AB = BC = 26. 26 + 26 + 20 = 72 which is the perimeter.
The Perimeter of triangle ABC is 72 unit
What is isosceles triangle ?Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides. In this article, we will learn about the definition of an isosceles triangle and its properties.
We have
AC = 20 unit
Area of triangle {ABC} = 240 unit square
AB = BC
draw the altitude to AC, let’s call it BD (Construction)
Now,
we know the area of triangle = 1/2 × AC × BD
240 = 1/2 × 20 × BD
BD = 240 × 2/20
BD = 24 unit
AD=CD (Altitude to base of isosceles triangle)
2AD=AC
2AD=20
AD=10 (Parts-Whole Postulate, substitution)
in ∠ABC using Pythagorean theorem
[tex]AD^{2}[/tex] + [tex]BD^{2}[/tex] = [tex]AB^{2}[/tex]
[tex]AB^{2}[/tex] = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]
AB = [tex]\sqrt{100 + 576}[/tex]
AB = [tex]\sqrt{676}[/tex]
AB=26
AB=BC=26 (Definition of Isosceles Triangle)
AC = 20
Perimeter of triangle ABC = AB+BC+AC (definition of Perimeter)
Perimeter of triangle ABC = 26 + 26 +20
Perimeter of triangle ABC = 72 unit
To learn more about isosceles triangle from here
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help me plz asap ill mark u brainliest
Answer:
b
Step-by-step explanation:
this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2 and she did that 5 times
this means that the final answer 5 * ( 2 + 2 )
i cant get the symbold so i had to do it like this :)
Answer:
b
Step-by-step explanation:
Which statements are symmetric reflexive or transitive
Answer: 1st is reflexive
Step-by-step explanation:
