Answer:
27 < AB < 81
Step-by-step explanation:
According to the triangle inequality theroem (A side of a triangle is less than the sum of the lengths of the other two sides and is greater than the positvie difference of them. In other words, for c>b>a) your answer should be:
27 < AB < 81
becuase, 54 - 27 = 27 and 54 + 27 = 81
Answer:
the answer is B
Step-by-step explanation:
If h(x) = (fºg)(x) and h(x) = 3(x+2)^2 find one possibility for f (x) and g(x).
A.
f(x) = x + 2
g(x) = 3x^2
B.
f(X) = (x+2)^2
g(x)=3x^2
C.
f(x)=3x2^2
g(x)= (x+2)^2
D.
f(x) =3x2^2
g(x) = x+2
Answer:
[tex]f(x) = 3x^2[/tex]
[tex]g(x) = x + 2[/tex]
Step-by-step explanation:
Given
[tex]h(x) = 3(x+2)^2[/tex]
[tex]h(x) = (fog)(x)[/tex]
Required
Find f(x) and g(x)
[tex]h(x) = (fog)(x)[/tex]
Rewrite h(x)
[tex]h(x) = f(g(x))[/tex]
If [tex]h(x) = 3(x+2)^2[/tex]
then
[tex]f(g(x)) = 3(x+2)^2[/tex]
This implies that; the expression in the brackets are equal;
In other words; function g(x) on the left hand side is equal to expression x + 2 on the right hand side
So;
[tex]g(x) = x + 2[/tex]
To find f(x), substitute g(x) with x
[tex]f(x) = 3(x)^2[/tex]
[tex]f(x) = 3x^2[/tex]
Final solutions are
[tex]f(x) = 3x^2[/tex]
[tex]g(x) = x + 2[/tex]
Grace's mom gave her $15.00 to buy school supplies. Grace needs to buy 3 mechanical pencils and some notebooks. If each mechanical pencil costs $1.75 and each notebook costs $2.99, how many notebooks can Grace buy using only the money her mom gave her? 2 notebooks 3 notebooks 4 notebooks 5 notebooks
Answer: 3 notebooks
Step-by-step explanation:
First take the three mechanical pencils out of the equation by doing
15 - (3*1.75) = 9.75. Because each notebook costs 3 dollars, she can afford 3 notebooks, with 1 dollar left over.
Hope it helps <3
Answer:
3 notebooks
Step-by-step explanation:
(1,75x3)=5.25 15.00-5.25=9.75
2.99x=9.75
x=3,26
so she can buy 3 notebooks
The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function f(x) = x2?
Answer:
right 3; up 9
Step-by-step explanation:
Translation of a graph by (right, up) = (h, k) transforms the function to ...
g(x) = f(x -h) +k
__
Compared to f(x), we see that ...
g(x) = f(x -3) +9
That means the graph of g(x) is shifted right 3 units and up 9 units from the graph of f(x).
Find the perimeter of the quadrilateral
If x= 2, the perimeter is____ imches
━━━━━━━☆☆━━━━━━━
▹ Answer
Perimeter = 8 inches
▹ Step-by-Step Explanation
a + b + a + b
2 + 2 + 2 + 2 → 8 inches
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
8 inches
Step-by-step explanation:
since a quadrilateral has 4 sides and each side equals 2, you would just add all the sides to together to get 8!
2 + 2 + 2 + 2 = 8
hopefully this helped :3
Pete Fred and Sarah were given £500 to share in the ratio of there ages, Pete is 11 years old, fred is 19 years old and Sarah is 20 years old, how much should they each get?
Answer:
see explanation
Step-by-step explanation:
Sum their ages , 11 + 19 + 20 = 50
Divide £500 by 50 to find the value of one part of the ratio
£500 ÷ 50 = £10, thus
11 × £10 = £110 ← Pete's share
19 × £10 = £190 ← Fred's share
20 × £10 = £200 ← Sarah's share
Answer:
Pete's share: £110
Fred's share: £190
Sarah's share: £200
Step-by-step explanation:
Add their ages:
11 + 19 + 20 = 50
500 ÷ 50 = £10
Then you times their age with £10 to get how much they all get.
10 x 11 = £110
19 x 10 = £190
20 x 10 = £200
I hope my answer will help you out!
Find the indicated measure.
Answer:
Arc EFC has a measure of 234 degrees.
Step-by-step explanation:
The measure of arc EFC = the measure of arc EF + the measure of arc BF + the measure of arc BC.
Arc BFE looks like a semicircle.
A semicircle has a measure of 180 degrees.
Arc BF + arc FE = 180 degrees
Arc BF has a measure of 126 degrees.
126 + arc FE = 180
arc FE = 54 degrees
Arc FE = Arc BC
Their central angles are equal by vertical angle theorem.
EFC = EF+BF+BC
EFC = 54 + 126 + 54
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answer:
Slope = 1
This is becuase the rise is 1 and the run is 1.
In a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither. Find the probability that a student chosen at random has a cat and a dog.
Answer: 9/25
Step-by-step explanation:
If N=6+4+3+1+1/3N then the value of N is
A)12
B)15
C)18
D)21
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra IEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityApplicationStep 1: Define*Note: I am going to assume what the equation is, since it is unclear.
Let's define the equation given to us:
[tex]\displaystyle N = 6 + 4 + 3 + 1 + \frac{1}{3}N[/tex]
Step 2: WorkLet us now find the value of N:
[Equation] Apply Order of Operations [BPEMDAS]:∴ the value of N = 21.
Answer∴ the answer choice would be D) 21.
___
Learn more about solving equations: https://brainly.com/question/10664006
Learn more about Algebra I: https://brainly.com/question/13368247
___
Topic: Algebra I
Unit: Two-step Equations
What is the percent of increase from 106 miles to 122 miles?
Answer:
15.094 %
Step-by-step explanation:
[(122 - 106) /106] 100
(16/106) 100
(0.15094)x100
15.094
Answer:
15%
Step-by-step explanation:
Determine the value of x. ANSWERS:A) 16.32 B) 54.45 C) 35.54 D) 17.51
Answer:
D, x = 17.51
Step-by-step explanation:
Use trigonometry.
X is opposite to 35, and we have the adjacent to 35.
tan (35) = x/25
which of the sequence is an arithmetic sequence?
Answer:
D
Step-by-step explanation:
An arithmetic sequence has to increase or decrease by the same amount each time
-3 ,-10,-17,-24,-31
Decreases by 7 each time so it is an arithmetic sequence
Answer:
i think its D not to sure
Step-by-step explanation:
The function f(x) = (1/5) Superscript x is translated up 4 units. Which equation represents the translated function?
Answer:
g(x) = [tex](\frac{1}{5}) ^{x}[/tex] + 4
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) is shifted up 4 units, thus translated function is
g(x) = f(x) + 4 = [tex](\frac{1}{5}) ^{x}[/tex] + 4
Answer:
C. g(x) = (1/5) x + 4
Hope this helps!
Step-by-step explanation:
Which of the following operations would be used to solve5x=10? - 5 ÷ 5 2 + 5
Answer:
Divide each side by 5
Step-by-step explanation:
5x=10
Divide each side by 5
5x/5 = 10/5
x = 2
Answer:
/5
Step-by-step explanation:
i dont really know how to explain this but if your trying to find x you have to put it on one side, so inorder to get rid of the 5 on 5*x and the opposite of multiply is division so you divide by 5.
The following equation involves multiple angles. Solve the equation on the interval (0, 2pi) tan x/2 = - suare root 3\ 3
Answer:
Step-by-step explanation:
tan x/2=-√3/3
sec²x/2-tan²x/2=1
sec²x/2-3/9=1
sec² x/2=1+1/3=4/3
cos² x/2=3/4
2cos² x/2=3/2
1+cos x=3/2
cos x=3/2-1=1/2=cos π/3,cos (2π-π/3)
x=π/3,5π/3
or
cos x=(1-tan²x/2)/(1+tan²x/2)=(1-1/3)(1+1/3)=(2/3)/(4/3)=1/2=cos π/3,cos (2π-π/3)
or x=π/3,5π/3
x=π/3
x/2=π/6
tan x/2=tan π/6=√3/3
so x=π/3 is an extraneous value.
x=5π/3 is the solution.
or
tan x/2=-√3/3=-1/√3=(-1/2)/(√3/2) [by dividing numerator and denominator by 2]
=-tan π/6=tan (π-π/6),tan (2π-π/6)
x/2=5π/6,11π/6
x=5π/3,11π/3,
now 11π/3 >2π
so x=5π/3
-4(4-3p) help me with this question
Answer:
-16 + 12p
Step-by-step explanation:
1st we distribute :P
-4 * 4 = -16 we also have to multiply the other number with the variable
-4 * -3p = 12p since we have two negative symbols they become a positive number.
now we have -16 + 12p
High Hopes
Barrii
Answer:
given, -4(4-3p)=0
multiplying, -16+12 p=0
or, 12p=16
or, p=16/12
therefore the value of p is 4/3 is answer...
To date, this year, Company XYZ has sold 600 units. They sell units at an average rate of 20 per week. The company wants to sell more than 1,000 units this year. Which of the following inequalities could be used to solve for x, the number of weeks necessary to reach the company's year-end goal? A. 20x > 1,600 B. 20x + 600 > 1,000 C. 20x > 1,000 D. 20x - 600 > 1,000
Answer:
B. 20x + 600 > 1,000.
Step-by-step explanation:
Company XYZ has already sold 600 units. They will sell additional units at 20 per week. They want to sell more than 1,000 units.
We can use "x" to represent the number of weeks it will take for the company to sell more than 1,000 units.
Their rate will be 20x (20 units per week). They have already sold 600 units, so we have the expression, 20x + 600. That quantity needs to be MORE THAN 1,000, so we will use the > sign. That needs to be more than 1,000, so we put 1,000 to the right of the > sign.
That leaves us with: B. 20x + 600 > 1,000.
Hope this helps!
Answer:
The answer is B
Find the value of the expression below.
log5 2 + log5 10 - log5 4
Answer:
A. 1
Step-by-step explanation:
To find the value of the expression, we will follow the steps below:
log₅2 + log₅10 -log₅4
From the rules of logarithm
logₐb + logₐc = logₐbc
similarly
logₐb - logₐc = logₐb/c
applying the two rules above to our expression will yield:
log₅2 + log₅10 -log₅4
=log₅(2 x 10) /4
=log₅20/4
=log₅5
also according to the rule of logarithm, logₐa=1
Therefore,
log₅5 =1
Therefore, the correct answer is 1
I need the domain to this.
Answer:
all real numbers greater than zero
Step-by-step explanation:
The square root of a number must be greater than or equal to zero
sqrt(x) ≥0
Squaring each side
x ≥0
This means the domain is all real numbers greater than or equal to zero
I would go with all real numbers greater than zero since it is the closest answer
6)
solve the problem by multiplying first.
Apples cost $0.75 per pound and bananas cost $1.15 per pound. Leah bought a total of 13
pounds of apples and bananas for $12.55. The system of equations
a+b = 13
0.750 + 1.15b = 12.55 models this situation, where a is the number of pounds of
apples and b is the number of pounds of bananas. How many pounds of each did Leah buy?
Leah bought
pounds of apples and
pounds of bananas.
Answer:
Step-by-step explanation:
Let's solve the given system of linear equations:
a+b = 13
0.750 + 1.15b = 12.55
Let's eliminate b. To do this, solve the first equation for b, obtaining b = 13 - a, and then substitute 13 - a for b in the second equation:
0.750 + 1.15(13 - a) = 12.55.
Next, subtract 0.750 from both sides, obtaining: 1.15(13 - a) = 11.8
Dividing both sides by 1.15 yields 13 - a = 10.26
Then a = 13 - 10.26, or a = 2.74.
Since a + b = 13, b = 13 - 2.74, or 10.26
This person bought 2.74 pounds of apples and 10.26 pounds of bananas.
Find the lateral area of this pyramid whose base is a regular hexagon with a side length of 3cm and whose slant height is 12cm.
Answer:
108 cm^2
Step-by-step explanation:
The lateral surface area of a pyramid is given as
LSA= 1/2×perimeter of the base×slant height
base is hexagon with side 3 cm , therefore, perimeter of the base
=6×3=18 cm
slant height = 12 cm
thus, LSA = 1/2×18×12 = 108 cm^2
PLEASE HURRY! ILL GIVE BRAINLEIST!
The school baseball team has 3 pitchers. How many different 3-player pitching schedules can the coach choose from?
A. 3 schedules B. 5 schedules C. 6 schedules D. 9 schedules
Answer:
b
Step-by-step explanation:
When 10 b = 5 (StartRoot c EndRoot + 2) is solved for c, one equation is c = (2b minus 2) squared Which of the following is an equivalent equation to find c? c = 10 b minus 10 minus 5 c = (10 b minus 10 minus 5) squared c = StartFraction (10 b minus 2) squared Over 25 EndFraction c = StartFraction (10b minus 10) squared Over 25 EndFraction
Answer:
Option D.
Step-by-step explanation:
The given equation is
[tex]10b=5(\sqrt{c}+2)[/tex]
We need to find an equation which is equivalent to the given equation.
Using distributive property, we get
[tex]10b=5(\sqrt{c})+5(2)[/tex]
[tex]10b=5\sqrt{c}+10[/tex]
Subtract both sides by 10.
[tex]10b-10=5\sqrt{c}[/tex]
Divide both sides by 5.
[tex]\dfrac{10b-10}{5}=\sqrt{c}[/tex]
Taking square on both sides.
[tex]\left(\dfrac{10b-10}{5}\right)=(\sqrt{c})^2[/tex]
[tex]\dfrac{(10b-10)^2}{25}=c[/tex]
[tex]c=\dfrac{(10b-10)^2}{25}[/tex]
This equation is equivalent to the given equation.
Therefore, the correct option is D.
Answer:
d on edgenuity
Step-by-step explanation:
A carpenter is cutting a piece of wood that is 1 yard by 1 yard. He wants one side to be 3/8 of a yard. And 1 side to be 1/4 of a yard.
If you miss the bus, then you will be late to school.
law of syllogism basically is a=b b=c then a=c
a = miss bus
c= detention
so if you miss the bus you get detention
D
Whats the square route of 49?
Answer:
The square root of 49 is 7.
Step-by-step explanation:
To find the square root of 49, you would need to look at the possible multiplication equations. For example:
1 x 49 = 49
7 x 7 = 49
49 x 1 = 49
As you can see, 7 x 7 would have the square root of 49, which is 7.
7^2=49
.
In conclusion, the square root of 49 is 7
Answer:
The square route of 49 is 7.
Step-by-step explanation:
All you have to do is 7 x 7 = 49
There. You have your correct answer.
SOMEONE PLEASE HELP ME ASAP PLEASE!!
Answer:
1
Step-by-step explanation:
answer is 1 trust me use simple algebra
State if a triangle is acute, obtuse, or right.
3 am
3 am
5 cm
A) Acute
B) Right
C) Obtuse
ANSWER QUICK 10 POINTS!!
Answer:
Acute.
Step-by-step explanation:
This is a right angle:
|_ (Basically angle makes an "L" shape and equals to 90 degrees)
This is an obtuse angle:
\_ (Basically like a fat/big angle that is greater than 90 degrees)
This is an acute angle:
/_ (Basically "a-cute" angle that is small and is less than 90 degrees)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope that helps and maybe earns a brainliest! :)
a savings account receives 12% simple interest p.a. how long would it take for £30000 to gain £28800 in interest
Answer:
8 yearsStep-by-step explanation:
Given,
Principal (P) = £ 30000
Simple Interest ( I ) = £ 28800
Rate (R) = 12%
Time (t) = ?
Now,
[tex]t = \frac{i \times 100}{p \: \times \: r} [/tex]
[tex] = \frac{28800 \times 100}{30000 \times 12} [/tex]
[tex] = \frac{2880000}{360000} [/tex]
[tex] = 8 \: years[/tex]
Hence, It would take 8 years.
Hope this helps...
Good luck on your assignment...
Which represents a measure of volume?
5 cm³
5 square cm
5 cm
5 cm²
The answer is A) 5 cm³
Volume is represented by cubic units.
Hope it helps <3