Step-by-step explanation:
(A) To find inverse of f(x) = y = 1 / x - 3 :
Transform in terms of x
y = 1 / x - 3
x - 3 = 1 / y
x = 3 + 1 / y
Exchange x with y :
[tex] {f}^{ - 1} (x) = 3 + \frac{1}{x} [/tex]
Therefore, g(x) is not inverse of f(x) and vice versa.
(B)
Domain of f(x) = R - {3}
Domain of g(x) = R - {0}
The steps below show the solution to the equation LaTeX: 3\left(x-2\right)=2\left(x-3\right)3 ( x − 2 ) = 2 ( x − 3 ). Order the reasons for the steps.
LaTeX: 3\left(x-2\right)=2\left(x-3\right)3 ( x − 2 ) = 2 ( x − 3 )
LaTeX: 3\left(x\right)+3\left(-2\right)=2\left(x\right)+2\left(-3\right)3 ( x ) + 3 ( − 2 ) = 2 ( x ) + 2 ( − 3 )
[ Select ]
LaTeX: 3x-6=2x-63 x − 6 = 2 x − 6
[ Select ]
LaTeX: 3x-2x=-6+63 x − 2 x = − 6 + 6
[ Select ]
LaTeX: x=0x = 0
Answer:
See Bold Texts
Step-by-step explanation:
Given
The steps to solve:
[tex]3( x - 2 ) = 2( x - 3 ).[/tex]
Required
Order the steps with reasons
[tex]3( x - 2 ) = 2( x - 3 ).[/tex]
Open Brackets
[tex]3(x) + 3(-2)= 2(x)+ 2(-3)[/tex]
Open Brackets
[tex]3x - 6 = 2x -6[/tex]
Collect Like Terms
[tex]3x - 2x = -6 + 6[/tex]
[tex]x =0[/tex]
Answer:
i believe X=4? sorry math is not my strong suit and probably didn't get the answer right!
Mia is making fruit punch for her birthday party. She puts 120 milliliters of cherry juice into a pitcher. Then she adds 250 milliliters of raspberry juice. She tops it off with sparkling water. How many milliliters of juice does she use?
Answer: She used 370 milliliters of juice
Step-by-step explanation:
Given directed line segment PR below, find the coordinates of Q on PR
such that the ratio of PQ to QR is 2:1.
Answer:
[tex](\frac{4}{3},-3)[/tex]
Step-by-step explanation:
The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) is given by the formula:
[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1[/tex]
From the graph, the location of the point is P(2, 5), R(1, -7). Let point Q be (x, y) which divides PR in ratio 2:1. Coordinates of point Q is at:
[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1=\frac{2}{2+1}(1-2)+2=\frac{2}{3}(-1)+2=\frac{4}{3} \\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1=\frac{2}{2+1}(-7-5)+5= \frac{2}{3}(-12)+5=-3[/tex]
Point Q is at [tex](\frac{4}{3},-3)[/tex]
Need to find x please.
Answer:
4 MIUSE 90 PLUSE 22
Step-by-step explanation:
which expression is equivalent to (-4^-5)^0
Answer:
can't see the options.
Step-by-step explanation:
What is the value of x?
Answer:
x = 24
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
a = a leg
b = another leg
c = hypotenuse
Step 1: Plug in known variables
x² + 10² = 26²
Step 2: Evaluate
x² + 100 = 676
Step 3: Isolate x term
x² = 576
Step 4: Isolate x
√x² = √576
x = 24
Answer:
[tex]x=24[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem.
The Pythagorean Theorem is:
[tex]a^2+b^2=c^2[/tex]
The hypotenuse is c, and the legs are a and b.
Plug in 26 for c since 26 is the hypotenuse, and let 10 for a and x be b. Therefore:
[tex]x^2+10^2=26^2[/tex]
Square:
[tex]x^2+100=676[/tex]
Subtract 100 from both sides:
[tex]x^2=576[/tex]
Take the square root of both sides:
[tex]\sqrt{x^2}=\sqrt{576}\\x=\sqrt{576}=24[/tex]
The answer is 24.
Use calculator to decide whether each statement is true or false. It may be that a true statement will lead to results that differ in the last decimal place due to rounding error.
tan² 72° 25' + 1 = sec² 72° 25'
Answer: 72.416
Step-by-step explanation:
the product of 5 and g
Answer:
5g
Step-by-step explanation:
A ball flies through the air. Right before it hits the ground, its speed is 10 meters/second and it has 500 joules of kinetic energy. The mass of the ball is kilograms.
Answer:
10 kg
Step-by-step explanation
Explanation:
Kinetic Energy = 1/2 * M (V square )
M is mass and V is velocity of the ball
500J = 1/2 *M *( 10)*(10)
M = 10 kg
Answer:
10 kg
Step-by-step explanation:
Formula for the kinetic energy:
½mv²
Find the mass:
= ½ × m × 10² = 500 joules
= 50 × m
m = 500 ÷ 50
m = 10 kg
The answer is 10 kg.
Exponents does what to the same number continuously?
Answer:
Exponents multiply a base number by itself continuously
Step-by-step explanation:
Exponents create repeated multiplication, where the base number will be continuously multiplied by itself.
The number of times it will be multiplied depends on the exponent.
For example, 2³ will be the number 2 multiplied by itself 3 times.
Christopher has breakfast at a cafe and the cost of his meal is $36.00dollar sign, 36, point, 00. Because of the service, he wants to leave a 10%, percent tip.
Answer: $39.60
Step-by-step explanation:
Here is the correct question:
Christopher has breakfast at a cafe and the cost of his meal is $36.00 . because of the service he wants to leave a 10% tip.What is his total bill including tip?
His total bill will be the addition of the cost of his meal and the tip. This will be:
= $36.00 + (10% × $36.00)
= $36.00 + $3.6
= $39.60
His total bill including tip is $39.60
what is 5/13 rounded to the nearest tenth
Answer:
5 thirteenth ti the nearest tenth Is .6
Answer:
0.4
Step-by-step explanation:
First make it a decimal:
5/13 (divide)
0.38 (round)
So you get 0.4
Michael solved this inequality as shown: Step 1: -6(x + 3) + 10 < -2 Step 2: -6x − 18 + 10 < -2 Step 3: -6x − 8 < -2 Step 4: -6x < 6 Step 5: x > -1 What property justifies the work shown between step 3 and step 4? A. transitive property B. division property of inequality C. distribution property D. addition property of inequality
Answer:
D. addition property of inequalityStep-by-step explanation:
Given the step 3 and 4 of the solution Step 3: -6x − 8 < -2 Step 4: -6x < 6
From step 3;
-6x − 8 < -2
Michael got the step 4 by adding 8 to both sides of the inequality as shown;
-6x − 8 + 8 < -2 + 8
-6x < 6 (Step 4)
Since Michael added 8 to both sides of the inequality, the property that justifies the transition from step 3 to step 4 is the addition property of inequality. Addition property is the property that adds an integer to both sides of an inequality without altering the inequality sign and also retaining the inequality equation.
Find the coordinates of point A, if point M(-1, 2) is the midpoint of segment AB and B has coordinates of (3, -5) A. ( -5, 9) B. ( 1, -1 ) C. ( 4, 3) D. ( -2 , 4)
Answer:
A. (-5,9)
Step-by-step explanation:
hard to explain but i found the distance of M and B which is (4,7). using this i added that with M which equals (-5,9)
(sorry for bad explanation)
How do I write 3x3x3x3 in exponential form
Answer:
3 with the exponent of four.
Step-by-step explanation:
You would count the number of of three's. Since there are four three's, then you would write the 4 right by the three on the top right hand corner.
The exponential expression is [tex]3^4[/tex].
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
3 x 3 x 3 x 3
The form to write an exponential expression.
= [tex]Base^{Exponents}[/tex]
Now,
There are four 3's and we can write it as an exponent form where the base is 3 and the exponent is 4.
So,
= [tex]3^4[/tex]
Thus,
The exponential expression is [tex]3^4[/tex].
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
Solve 25n=2×25 for n. You can use a related equation. n = [tex]\frac{2*25}{25}[/tex]
Answer:
n=2
Step-by-step explanation:
25n=2×25
Divide each side by 25
25n/25=2×25/25
n = 2 * 25/25
n =2
Answer those please
11.) 0.5.
12.) 0.25.
13.)1/2,0.49,55%.
14.)2/5,0.6,35%.
15.) To get a whole number from a fraction you have to multiply the fraction by the denominator of the fraction=5/9×9=5.
or you can say that can add 4/9 to 5/9=9/9=1 a whole number also
When I take half of my number and add two, I get twenty-four. What is my number?
Please Hurry!!! THANKS!!
Answer:
first one is A. I have no idea what the second is. good luck, it might be D.
Answer:
1) 3x³ - x² - 15x + 5
2) x² - 4
3) (5, 3)
4) f⁻¹(x) = 1/3x - 4
Step-by-step explanation:
1......................
Givenf(x) = 3x - 1g(x) = x² - 5f(x) · g(x) =?Solution f(x) · g(x) = (3x - 1)(x² - 5) =3x·x² - 3x·5 - x² + 5 =3x³ - x² - 15x + 5Correct option is A.
2......................
Givenf(x) = x²g(x) = x - 4g(f(x)) =?Solutiong(f(x)) = g(x²) = x² - 4Correct option is D.
3......................
Point (5, 3) is the inverse of point (3,5)
Correct option is C
4......................
Givenf(x) = 3x - 12Inverse of function = ?SolutionTo get the inverse of the function, switch over domain and range:
x = 3f⁻¹(x) - 123f⁻¹(x) = x - 12f⁻¹(x) = 1/3x - 4Correct option is D.
The number of adult tickets sold at a school talent show, a, is 5 less than 3 times the number c of children’s tickets sold. Which equation represents the number of adult tickets sold?
Answer:
3c - 5
steps: A=3c+5
Evaluate the expression for the given value of x.
−7x + 6 for x = −7
Answer:
[tex]\Huge \boxed{\mathrm{55}}[/tex]
Step-by-step explanation:
[tex]-7x + 6[/tex]
Put x as -7 and evaluate the expression.
[tex]-7(-7)+6 \\\\\\ 49+6 \\\\\\ 55[/tex]
What's the only place in this world who's Fahrenheit and Celsius degrees can be equal?
Antarctica , I think
Step-by-step explanation:
Korey completely covered a square counter top using 103.5 ft² of tile without any overlap. Which measurement is closest to the side length of this counter top in feet? A. 10 ft B. 11 ft C. 27 ft D.55 ft
The measurement is closest to the side length of this counter top in feet is 10.17ft
Area of a squareThe formula for calculating the area of a square is expressed as:
area of a square = L^2
where
L is the length of a square
Given the following parameter
A = 103.5ft^2
Substitute
103.5ft^2 = L²
L = √103.5
L = 10.17ft
Hence the measurement is closest to the side length of this counter top in feet is 10.17ft
he measurement is closest to the side length of this counter top in feet is 10.17ft
Learn more on area of a square here: https://brainly.com/question/25092270
#SPJ1
Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax). How much will someone earning $43,047 a year pay towards social security?
Answer:
$1807.94
Step-by-step explanation:
Given that:
Annual income = $43047
Social security (FICA tax) = 4.2% of the gross wages
To find:
Social security paid = ?
Solution:
Social security (FICA tax) is calculated by finding the 4.2% of the Total Gross Annual income.
i.e. for the given value, the social security paid can be calculated as:
4.2% of $43047
[tex]\Rightarrow \dfrac{4.2}{100}\ of \ \$43047\\\Rightarrow \dfrac{42}{1000}\times 43047\\\Rightarrow 0.042\times 43047\\\Rightarrow \bold{\$1807.97}[/tex]
Therefore, the Social Security paid is $1807.94.
During a science experiment, Daniel noted the starting temperature of a At the end of the experiment, the change in temperature was What was the final temperature?
Complete question :
During a science experiment, Daniel noted the starting temperature of a -4°F. At the end of the experiment, the change in temperature was -5°F. What was the final temperature?
A.-1 B.1 C.9 D.-9
Answer:
D.) - 9
Step-by-step explanation:
Given the following :
Temperature at the start of experiment = - 4°F
At the end of experiment, change in temperature = - 5°F
This means between the temperature at the start of the experiment was - 4°F and during the cause of the experiment, there was a change in temperature of - 5°F.
Hence, the final temperature is the sum of the initial temperature and and the temperature change recorded.
Initial temperature + temperature change
-4°F + (-5°F)
- 4°F - 5°F = - 9°F
Hence, final temperature = - 9°F
Answer:
The answer is 9
Given the following :
Temperature at the start of experiment = - 4°F
At the end of experiment, change in temperature = - 5°F
This means between the temperature at the start of the experiment was - 4°F and during the cause of the experiment, there was a change in temperature of - 5°F.
Hence, the final temperature is the sum of the initial temperature and and the temperature change recorded.
Initial temperature + temperature change
-4°F + (-5°F)
- 4°F - 5°F = - 9°F
Hence, final temperature = - 9°F
perform the indicated operation. 2i(3-4i)+8(4-5i)(4+5i)
Answer: 336+6i
The key to solving this problem is to choose which parts you should solve first.
2i(3-4i)+8(4-5i)(4+5i)
let's divide this expression to three parts:
2i(3-4i), 8 and (4-5i)(4+5i)
first let's solve 2i(3-4i):
2i(3-4i) =
2i × 3 + 2i × -4i =
6i - 8i² =
6i + 8
(4-5i)(4+5i):
(4-5i)(4+5i) =
16 + 20i - 20i -25² =
16 + 25 =
41
8(4-5i)(4+5i):
8(4-5i)(4+5i) = 8 × 41 = 328
Now let's put back these parts:
2i(3-4i)+8(4-5i)(4+5i) =
6i + 8 + 328 =
6i +336 OR 336 +6i
Which inequality matches the number line ? Help!!
help me pls brainliest+10pts
Answer:
It is A
Step-by-step explanation:
It is A: it shows the total change in Akash's account because he paid the bill
In a bank statement the amount that you pay always shows negative it means the money withdraw from the account
Please help, find what X is. 42 - X = 29
Answer:
X = 13
Step-by-step explanation:
42 - X = 29
Subtract 42 from each side
42-42 - X = 29-42
-X = -13
Multiply each side by -1
X = 13
Express the formula d=rt in teens of the time, t use your formula to find the time the distance is 49 and the rate is 8.
Answer:
d=rt
rt=d
t= d/r
t= 40/8
t= 5