Answer:
The inverse of the function is;
x = (y + 2)/3
Step-by-step explanation:
Here in this question, we shall be calculating the inverse of a function.
The function is;
y = 3x - 2
Firstly, let w = x;
y = 3w -2
y + 2 = 3w
w = (y + 2)/3
Now replace w by x
x = (y + 2)/3
This is the inverse of the function
The sum of three numbers is 12. The second number is equal to the sum of the first and third numbers. Twice the first number exceeds the second number by 4. Find the numbers.
Answer:
the first number is 5 the first second is 6 the first number is 1Step-by-step explanation:
x - first number
2x - twice the first number
twice the first number exceeds the second number by 4 so:
2x-4 -the second number
y - the third number
the second number is equal to the sum of the first and third numbers:
2x-4 = x + y
x + y = 2x - 4
-x -x
y = x - 4 - the third number
the sum of three numbers:
x + 2x-4 + x-4 = 4x - 8
The sum of three numbers is 12 so:
4x - 8 = 12
+8 +8
4x = 20
÷4 ÷4
x = 5
2x-4 = 2•5 - 4 = 6
x-4 = 5 - 4 = 1
Check:
5+1 = 6
2•5 = 10, 10-4 = 6
Which of the following would not have a positive exponent when written in scientific notation HELP PLEASE!!!!
A.5600,000
B.0.0023
C.23
D.560
SOMEONE HELP!!
Find the midpoint of the line segment joining the points R(-5,5) and S(4.6).
Hey there! I'm happy to help!
To find the x value of the midpoint, you add the x values and divide by 2.
-5+4=-1
-1/2=-1/2
For the y value, you add the y values and divide by 2.
5+6=11
11/2=5 1/2
So, the midpoint is (-1/2, 5 1/2).
Have a wonderful day! :D
Jason jogs around a circular track at an average rate of 3 laps in 5 minutes. At this rate, how many laps can Jason complete in 35 minutes?
Answer:
21 laps
Step-by-step explanation:
35 divided by 5 equal 7
3 times 7 = 21
hope this helps you ;)
pls give me brainlest :)
Katrina drinks .5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week
Answer:
8w = 3.5gal
Step-by-step explanation:
1 gal = 16c
0.5gal = 8c
W = 7
8w = 3.5gal
The figure is transformed as shown in the diagram. Describe the transformation.
A) reflection, then rotation
B) rotation, then reflection
C) reflection, then dilation
D) translation, then dilation
Answer:
B) Rotation, then Reflection
Find the value of √45 × √20
Answer:
30
Step-by-step explanation:
√45 × √20 = 30
What is an exact solution for
[tex]m \sqrt{14} [/tex]
Answer: Choice B) [tex]\sqrt{14}[/tex]
We have some value m and we're squaring it to get [tex]m^2[/tex]
To undo this and isolate m, we apply the square root to both sides
[tex]m^2 = 14\\\\\sqrt{m^2} = \sqrt{14}\\\\|m| = \sqrt{14}\\\\m = \sqrt{14} \text{ or } m = -\sqrt{14}[/tex]
There are two solutions here. This is similar to how there are two solutions in something like [tex]x^2 = 25[/tex] (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because
negative times negative = positive.
WILL GIVE BRAINLIEST!!!
Cassandra rents a bicycle while on vacation.
The table below shows the cost of renting a bicycle y, per hour, x.
What is the slope (m) that is defined by the table?
Explain using 2-3 sentences or show each step.
Answer:
m = 6
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply choose 2 points and plug them into the formula to find slope m:
(1, 20)
(2, 26)
[tex]m=\frac{26-20}{2-1}[/tex]
[tex]m=\frac{6}{1}[/tex]
m = 6
why is h²=p²+b²plz somebody help me
Answer:
This formula is related to Pythagorus theorem which states that in a right angled triangle square of hypotenuse is equal to sum of the squares of other two sides.
In other words, C²=B²+A²
Simplify by combining like terms: 4g + 6g - 3g
Answer:
7g is correct answer
Step-by-step explanation:
4g+6g-3g
=10g-3g
=7g
hope it helped you:)
Answer:4g + 6g - 3g = 7g
Step-by-step explanation:because 4+6 is 10 so 3 less than 10 it equals 7
Find the slope of the line.
Answer:
The answer is -2
Step-by-step explanation:
It goes down 2 and the line is to the left, meaning its negative :)
a cup of coffee contains 150 milligrams of caffeine. if caffeine is eliminated from the body at a rate of 14% per hour, how long will it take for half of this caffeine to be eliminated from a person's body? round your answers to the nearest hour
A. 7 hours B. 6 hours C. 5 hours
D. 4 hours
Answer:
Step-by-step explanation:
14% of 150 mg = 0.14* 150 = 21 mg
21 mg will be eliminated from our body in an hour
150/21 = [tex]7\frac{3}{21}[/tex]
= 7 hours { rounding to the nearest}
Please someone answer asap
Answer:
(-inf,6]
Step-by-step explanation:
what is 7.8764 rounded as the nearest cent? WILL MARK BRAINLIEST!
Answer:
$7.88 i believe
Step-by-step explanation:
the coefficients of the expression.
−30 + 2p − 9z
-30,2
2,9
-30,2,-9
2,-9
32. John collects postcards. He buys them in
packages of 8. He currently has 96 postcards.
Write an equation to model the size of his
collection after buying x packages.
A) 8x = 96
Cy= 96 + 8
® y=96x + 8 Dy=8x + 96
(8w)^2 without parentheses
Answer:
I believe the answer would be 64w2.
Step-by-step explanation:
8 squared is 8 x 8, which equals 64, and then w squared is just w2, since we don't know what it is. Put them together, and the answer is 64w2.
Select the correct answer. When Matt rewrote the given expression, he got 18. (36) 1/2 Which statement is correct? Matt rewrote the expression incorrectly. The expression is equivalent to 6. Matt rewrote the expression incorrectly. The expression is equivalent to 9. Matt rewrote the expression correctly. Matt rewrote the expression incorrectly. The expression is equivalent to 1/18
Answer: Choice A) He wrote it incorrectly. He should have gotten 6.
This is because exponents of 1/2 are the same as square roots.
[tex](36)^{1/2} = \sqrt{36} = 6[/tex]
Matt probably thought it was 36 times 1/2, which may explain how he got 18.
Matt rewrote the expression incorrectly. The expression is equivalent to 6. Option A is correct.
Given that,
Matt rewrote the given expression, he got 18. [tex](36)^{1/2}[/tex] Which statement is correct is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Since matt made a mistake in his calculation, let correct the calculation and determined what should be the matt mistake.
Simplification
[tex]= (36)^{1/2}\\= (6^2)^{1/2}\\=(6)^{2 * 1/2}\\= 6[/tex]
Thus, Matt rewrote the expression incorrectly. The expression is equivalent to 6. Option A is correct.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
true or false? in a two column proof, the left cloumn contains a series of deductions
Answer:
True
Step-by-step explanation:
The left column is for deductions
The right column is for reasons
3 - 4x = 6x + 93
Please help with this question
Answer:
-9
Step-by-step explanation:
X=-9
Step-by-step
Simplifying
3 + -4x = 6x + 93
Reorder the terms:
3 + -4x = 93 + 6x
Solving
3 + -4x = 93 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
3 + -4x + -6x = 93 + 6x + -6x
Combine like terms: -4x + -6x = -10x
3 + -10x = 93 + 6x + -6x
Combine like terms: 6x + -6x = 0
3 + -10x = 93 + 0
3 + -10x = 93
Add '-3' to each side of the equation.
3 + -3 + -10x = 93 + -3
Combine like terms: 3 + -3 = 0
0 + -10x = 93 + -3
-10x = 93 + -3
Combine like terms: 93 + -3 = 90
-10x = 90
Divide each side by '-10'.
x = -9
Simplifying
x = -9
Which of the following is not a kind of consumer credit?
a installment credit
b personal loans
c service credit
d marginal credit
Answer:
✅ D. marginal credit⬇️ I got 100% on the test
Riley is building a garden box for his backyard. He wants the perimeter to be 32
ft long. If he makes the width 6 ft, what will be the length of the garden box?
ft
twelve is greater than or equal to a 5 times a number n
Answer:
n <= 12/5
Step-by-step explanation:
12 >= 5*n
5*n <= 12
5*n/5 <= 12/5
n <= 12/5
Lupe put $12,000 in a certificate of deposit that gained interest at a rate of 6.5%. How much interest did the account gain after 3 months?
Answer:
$195
Step-by-step explanation:
We use the simple interest formula.
I = Prt
I = Interest
P = Principal (initial value)
r = Interest rate
t = Time (years)
P = $12,000
r = 6.5% which we convert to a decimal by dividing by 100 6.5/100 = .065
t = 3 months which we convert to years by dividing by 12 3/12 = 1/4 = .25
Plug in the values
I = 12000 * .065 * .25
I = $195 interest gained
Answer:
195
Step-by-step explanation:
3 month is .25 years
6.5/100 = .065
12000 x .065 x .25 = 195
6x - 2 (x + 2) > 2 - 3 (x + 3)
whats the solution?
Answer:
x>−3/7
Step-by-step explanation:
I hope this helps you
What are the answers ?
Answer:
1:d 2:a 3:a 4:a 5:c 6:a 7:d 8:d 9:a 10:b
Step-by-step explanation:
in new jersey, the highest elevation is 1 803 feet above sea level and the lowest elevation is -2 below the sea level. what is the deficit in the elevation?
Answer:
803
Step-by-step explanation:
trust your self
round 24,732 to the
nearest thousand.
Answer:
25,000
Step-by-step explanation:
7 is greater than 5 so we need to round UP
What would be the exponent if you put the number 0.00427 into scientific notation?
Answer
0.00427×10
0.0427
0.0427×10
0.427
0.427×10
4.27×10‐³
