Answer:
(a) The relation is a function
(b)
[tex]Domain = \{-3,2,5,8\}[/tex]
[tex]Range = \{7,5,-3,-2\}[/tex]
Step-by-step explanation:
Given
[tex]\{(-3, 7), (2, 5), (5, -3), (8, -2)\}[/tex]
(a): Is it a function?
A relation has the form: [tex]\{(x_1,y_1),(x_2,y_2)....(x_n,y_n)\}[/tex]
For the relation to be a function, all the x values must be unique and not repeated.
In [tex]\{(-3, 7), (2, 5), (5, -3), (8, -2)\}[/tex], the x values are: -3, 2, 5 and 8.
None of the values are repeated.
Hence, the relation is a function
(b): The domain and the range:
The x values represent the domain while the range are represented by the y values.
So, we have:
[tex]Domain = \{-3,2,5,8\}[/tex]
[tex]Range = \{7,5,-3,-2\}[/tex]
solve for x in : 5^{2x-1} =12^{x}
Answer:
x=2.192785
Step-by-step explanation:
52x−1=12x
log(52x−1)=log(12x)
(2x−1)*(log(5))=x*(log(12))
2x−1=(
log(12)
log(5)
)*(x)
2x−1=1.543959*x
2x−1=1.543959x
2x−1−1.543959x=1.543959x−1.543959x 1.543959x
0.456041x−1=0
0.456041x−1+1=0+1
0.456041x=1
0.456041x
0.456041
=
1
0.456041
0.456041)
x=2.192785
Answer:
x = 2.19
Step-by-step explanation:
Given that,
An equation, [tex]5^{2x-1} =12^{x}[/tex]
To find,
The value of x.
Solution,
We have,
[tex]5^{2x-1} =12^{x}[/tex]
Taking log both sides,
[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]
We know that,
[tex]\text{log}\ a^n=n\ \text{log}a[/tex]
So,
[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]
So,
[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]
So, the value of x is equal to [tex]2.19[/tex].
Reference,
https://brainly.com/question/14968632
A meteorologist found that the rainfall in Campbell during the first half of the month was 3/10 of an inch. At the end of the month, he found that the total rainfall for the month was 1/2 of an inch. How much did it rain in the second half of the month?
Answer: 1/5
Step-by-step explanation:
Let the amount of rainfall in the second half of the month be represented by x.
From the information given in the question, the equation formed will be:
3/10 + x = 1/2
x = 1/2 - 3/10
x = 5/10 - 3/10
x = 2/10
x = 1/5
Therefore, the answer is 1/5
if a function f(x)=x^3 has the domain {-3,0,2,4} what is it's range
Step-by-step explanation:
Range is y-values
= {-27,0,8,64}
what is the slope intercept form
Answer:
5.8
Step-by-step explanation:
5.8 is the correction
Translate X(2,3) Y(0,0) Z(4,4) 2 units right and 3 units up
Answer:
X(4, 6) Y(2, 3) Z(6, 7)
Step-by-step explanation:
If you want to translate something right on a number line, then you are essentially adding to it. Thus you would just add 2 to each of the x values of the coordinates. The same applies with translating something up, all that really means is that you are adding to each of the y values so all you have to do is add 3 to each of the y values and you get your answer.
Answer:
X:(4,6), Y:(2,3), Z:(6,7)
Step-by-step explanation:
2 units right implies a change on the x-axis, meaning you add 2 units to the x of the coordinate pair (x, y). 3 units up implies a change in Y, you apply the same rule and add 3 to the Y of the pair.
2 units right (add 2 to x pair coordinate)
X: (2,3) --> (4,3)
Y: (0,0) --> (2,0)
Z:(4,4) --> (6,4)
and 3 units up (add 3 to y pair coordinate)
X: (4,3) --> (4,6)
Y: (2,0) --> (2,3)
Z: (6,4) --> (6,7)
6 times the difference of d and 5
Answer:
6(d - 5)
Step-by-step explanation:
Answer:
d-30
Step-by-step explanation
6*5 the do d- that which is d-30
Can anyone please help me this these questions:
1. $.50 is what percent of $2.00
2. $.02 is what percent of $2.00
3. $2.00 is what percent of two dollars
Answer:
1.
[tex]25\%[/tex]
2.
[tex].04\%[/tex]
3.
[tex]100\%[/tex]
Answer:
1 is 25% because .50 going into 2 00 4 times or 35%
2 is 10% because 02. is 10% of 2.00
4 is 100% because its all of the 2.00
Identify the independent and dependent variables in the equation y = 3x + 5
Group of answer choices
y is independent and x is dependent
x is independent and y is dependent
both x and y are independent
both x and y are dependent
Answer:
A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.
NOTE: Angles not necessarily drawn to scale.
Answer:
x = 40°
Step-by-step explanation:
angle A is a vertical angle with 60 so it's 60
60+80 = 140
180-140 = 40
Answer:
[tex]\boxed{\tt x=40^{\circ}}[/tex]
Step-by-step explanation:
∠x, ∠BAC, and ∠CAF form a straight line.
*Sum of angles that are formed on a straight line is equal to 180°.*
[tex]\tt \angle x+\angle BAC+\angle CAF=180^{\circ}[/tex]
[tex]\tt x+\angle BAC+\angle CAF=180^{\circ}[/tex]
[tex]\tt x+80^{\circ}+\angle 60^{\circ}=180^{\circ}[/tex]
Add, 80°+60°=140°
[tex]\tt x+140^{\circ}=180^{\circ}[/tex]
Subtract 140 from both sides:
[tex]\tt x+140^{\circ}-140^{\circ}=180^{\circ}-140^{\circ}[/tex]
[tex]\tt x=40^{\circ}[/tex]
_____________________________
What is an equation of the line that passes through the points (4,-4) and (-4,-4)
Answer:
Step-by-step explanation:
Use the formula x-x1/x1-x2 = y-y1/y1-y2
please help me I will mark your brainiest !!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The right answer is D, "n" can be any value greater than 2
Step-by-step explanation:
If variable "n" was any value less than or equal to 2, then the inequality would be less than or equal to 16, which isn't valid. So "n" has to be any value greater than 2.
Anybody good in geometry?
Answer:
A) <6, 2>
Step-by-step explanation:
Moves along x-axis to the right six units. Moves along y-axis upward two units.
Answer:
which vector translated the triangle to its image?
A. < 6 , 2 >
Which theorem proves these triangles are similiar for brainliest
[tex]{\huge{\pink{\mathcal{AA\:postulate࿐❤}}}} [/tex]
Which terms can be combined in the expression below? Select three options.
PLEASE HELP 50 POINTS
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b
Answer:
This doesnt make sense
Step-by-step explanation:
Lita has 4 bananas and Liza has 8 bananas. They give some bananas to their
friends. What is the biggest number of bananas each of their friends get if each of
them receive the same number of bananas?
1. What is asked for in the problem?
2. How will you solve the problem?
3.What is the answer to the problem?
Eggs are sold in trays of 4 and 6. What is the smallest number of eggs that can
be sold using the trays?
4.How will you solve the problem?
5.What is the answer to the problem?
pa help po please kailangan na po kase e
Answer:
hi kpop fan
Step-by-step explanation:
she is blackpink jisoo in your profile pick right
Answer:
they will receive 4 banana
Someone please explain how to get the answers
Answer:
[tex] m\angle A =40\degree [/tex]
[tex] m\angle D =40\degree [/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\angle A = \frac{1}{2} \times 80\degree [/tex]
[tex] m\angle A =40\degree [/tex]
[tex] m\angle D= \frac{1}{2} \times 80\degree [/tex]
[tex] m\angle D =40\degree [/tex]
Which expression is equivalent to 3 (x – 9) + 6?
A. 3x - 3
B. 3x - 21
C. 15 - 3x
D. 33 - 3x
Given the point (3, 4) and the slope of 6, find y when x = 27. (1 point)
Step-by-step explanation:
use the slope and coordinates to find the equation of line then substitute the value of X in the equation to find Y.
if it helps pls mark me brainliest
HELP please can you answer this please
Answer:
1. 2x² - 8x - 7
2. x³+ x + 30
Step-by-step explanation:
[tex]2 {x}^{2} - 9x - 2 +x - 5[/tex]
[tex]2 {x}^{2} - 8x - 7[/tex]
2x² has no other like terms to add or substract with so it stays as is.
(-9x) + x = -8
(-2) - 5 = -7
or
(-2) - (-5) = 3
Watch out for the ones on top. I'm a bit confused about them but those ones are your possible options.
//
[tex] {x}^{3} + 27 + x + 3[/tex]
[tex] {x}^{3} + x + 30[/tex]
x³ stays as is and so does x.
27 + 3 = 30
the sum of the number and 5 is 12
Answer:7
Step-by-step explanation: x+5=12 solve for x = 7
Answer:
"a number" = 7
Step-by-step explanation:
let "a number" = x.
x + 5 = 12
Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. Subtract 5 from both sides.
x + 5 (-5) = 12 (-5)
x = 12 - 5
x = 7
7 is your answer.
~
f(x) = 5x-3
slove this its is Evaluate functions
Answer:
f(5) = 22
Step-by-step explanation:
When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.
f(x) = 5x - 3
f(5) = 5(5) - 3
5 * 5 = 25
25 - 3 = 22
f(5) = 22
I hope this helps you!
Write the expression in expanded form (1 + 3b)(6)
Answer:
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Identity:
An identity is an equality which is true for all values of a variable in the equality.
(a + b)³ = a³+ b³+ 3ab(a + b)
In an identity the right hand side expression is called expanded form of the left hand side expression.
---------------------------------------------------------------------------------------------------
Solution:
(i) (2x + 1)³
Using identity
(a + b)³ = a³+ b³+ 3ab(a + b)
(2x + 1)³
= (2x)³ + 1³ + (3×2x×1)(2x + 1)
= 8x³+ 1 + 6x(2x + 1)
= 8x³ + 1 + 12x² + 6x
(ii) (2a – 3b)³
Using identity,
(a – b)³ = a³–b³ – 3ab(a – b)
(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)
=8a³–27b³–18ab(2a –3b)
= 8a³–27b³–36a²b + 54ab²
(iii) [3x/2 + 1]³
Using identity,
(a + b)³ = a³+ b³+ 3ab(a + b)
[3x/2 +1]³
=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)
=27x³/8+1+9/2x×(3x/2+1)
= 27x³/8 + 1 + 27/4 x² + 9/2x
= (27/8)x³ + (27/4) x² + 9/2 x + 1
(iv) [x–2/3 y]³
Using identity,
(a - b)³=a³-b³-3ab(a-b)
(X+ 2/3y)³
= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)
= x³– 8y³/27–2xy(x – 2/3 y)
= x³– (8/27)y³–2x²y+ 4/3xy²
=========================================================
Hope this will help you....
Step-by-step explanation:
Solve for x please help!!
Answer:
x = 4
Step-by-step explanation:
(14x - 15)° + 139° = 180°
14x - 15 + 139 = 180
14x + 124 = 180
14x = 56
x = 4
Omh pls help me 6thh grade math it's do in 10 mins
Answer:
1. 42
2. d cuz it has nothing-
3. A
all im saying cuz ik u can do this
Answer:
number 1 is 52% i am goin through them
Step-by-step explanation:
Each Parking Spot is 8 feet Wide A parking lot has 24 parking spots side by side What is the width measured in yards of the parking spots
Step-by-step explanation:
.................................
que es la regla de los signos
Answer:
La regla de los signos son los positivos y los negativos.Pero otra cosa son cuales son las raglas de los signos.
What is the least common multiple of 8, 7, and 2?
Answer:
1 i know its one hope it help
Step-by-step explanation:
List all prime factors for each number.
Prime Factorization of 2 shows:
2 is prime => 21
Prime Factorization of 7 shows:
7 is prime => 71
Prime Factorization of 8 is:
2 x 2 x 2 => 23
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 2, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 7 = 56
In exponential form:
LCM = 2^3 x 7^1 = 56
LCM = 56
Therefore,
LCM(2, 7, 8) = 56
How many more people like to swim than hike?
Show how you added or subtracted to find the answer
The number of people who likes to swim than hike is given by the equation A = 2 people
What is an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It demonstrates that the expressions on the left and right sides are connected in the same way.
An equation has components like as coefficients, variables, operators, constants, terms, expressions, and the equal to sign. The "=" sign and terms on both sides are required when generating an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number of people who likes to swim be s= 4 people
Let the number of people who likes to hike be h = 2 people
Let the number of people who likes to bike be b = 3 people
Now , the equation will be
The number of people who likes to swim than hike A = number of people who likes to swim - number of people who likes to hike
The number of people who likes to swim than hike A = s - h
The number of people who likes to swim than hike A = 4 - 2
The number of people who likes to swim than hike A = 2 people
Hence , the number of people who likes to swim than hike is A = 2 people
To learn more about equations click :
https://brainly.com/question/19297665
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Another math problem
Answer:
sorry no se la respuesta
help...........................
Answer:
Could you please repeat the question?
Answer:
Answer:
Step-by-step explanation:
What help!
Thanks for free points!
Have a nice day!