Answer:
6(4x + 2y)
Step-by-step explanation:
24x = 2 * 2 * 2 * 3 * x
18y = 2 * 3* 3 * y
Common factors = 2 * 3 = 6
24x + 18y = (6*4x) + (6*2y) {6 is common in both terms}
= 6*(4x + 2y)
2. Let f(x) = 4x + 12 and g(x) = 4x2 – 12.
(a) What is the inverse of function f?
(b) Is f an inverse of g? Show your work algebraically and explain your answer
Answer:
Answer:
(a) f^-1(x) = 1/4x -3
(b) f is not the inverse of g
Step-by-step explanation:
(a)The inverse of function f can be found by solving ...
x = f(y)
x = 4y +12
x -12 = 4y
x/4 -3 = y
The inverse of function f is ...
f^-1(x) = 1/4x -3
__
(b)g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.
_____
Additional comment
Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.
Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.
What type of triangle is this?
6
3
8
acute
obtuse
We need a minimum of 30 book sales by today. If 10 books were sold yesterday, what are the possible numbers for sales today
A.b> 20
B. b> 10
C.b> 30
D.b> 20
I mean it would be A and D because I don't know why they are both the same answer. If 10 books were sold yesterday, at LEAST 20 are needed to make the goal.
Find the unit rate. 400 cupcakes in 8 hours
Answer:
50 per hour
Step-by-step explanation:
Q.21 Tom borrowed a sum of Rs. 1200 at 12% per annum for 3years. Find the interest and amount to be paid by Tom after stipulated time.
The interest and amount to be paid by Tom after stipulated time is 432; 1632.
Principal=Rs1200
Rate=12%
Time=3year
Interest:
Interest= Principal ×Rate ×Time/100
Interest= 1200×12×3/100
Interest=Rs432
Amount:
Amount=1200+432
Amount=1632
Inconclusion the interest and amount to be paid by Tom after stipulated time is 432; 1632.
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Explain how you would solve the problem below.
20% of 60
Help plz, no links.
Answer:
1) g = -8 (one solution)
2) b = 0 (infinitely many solutions)
3) w = 5/6 (one solution)
4) c = 0 (infinitely many solutions)
Step-by-step explanation:
1) 1/2g -4 = 2g - 1/2g + 4
1/2g -2g +1/2 g = 8
-g = 8
2) 5.3-5.3 = 2.1b + b - 3.1b
0=0
3) 3/4w+ 3/4w = 10/4 - 5/4
3/2w = 5/4
w = (5/4) / (3/2)
w = 5/6
4) 5.7c + 3.2c - 7.8c - 1.1c = 1.5 - 1.5
0 = 0
4(n-16)=16 this is my question and what I need help on
Answer:
n = 20.Step-by-step explanation:
4(n - 16) = 16=> 4n - 64 = 16=> 4n = 16 + 64=> 4n = 80=> n = 20Conclusion:
Therefore, n = 20.
Hoped this helped.
[tex]GeniusUser[/tex]
Hannah completed 40 problems in 32 minutes.
I have to put it in a unit rate pls help
Answer: 1.25 problems/min
32 minutes --> 40 problems
1 minute --> 40/32
--> 1.25
The cost in dollars for a group to attend a play is represented by 72p + 250. where p is the number of people attending what is the cost for 36 people.
A. 286
B. 358
C. 2,342
D. 2,842
Based on the equation that is given, the total cost for the group to attend a play will be 2842.
From the information given, the cost in dollars for a group to attend a play is represented by 72p + 250.
Therefore, when the number of people are 36, the cost will be:
= 72p + 250
= 72(36) + 250
= 2592 + 250
= 2842
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Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?
Answer:
[tex]c = 0.35 x + 24[/tex]
Step-by-step explanation:
First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:
cost = 35¢ (number of miles) + $24 (starting fee)
We can also write this like this:
[tex]c = 0.35x + 24[/tex]
If you want to test this equation, put in a value for the x variable, like so:
Value: 25 miles
[tex]c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75[/tex]
For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.
Asha bought 60 fruit baskets. 25% of the fruit baskets have 12 pieces of fruit in each basket. The remaining 75% of the baskets have 15 pieces of fruits in each basket. Complete the model.
Answer:
Number of baskets with 12 pieces of fruit: 15
Number of baskets with 15 pieces of fruit: 45
Step-by-step explanation:
25% x 60 = 0.25 x 60 = 15
75% x 60 = 0.75 x 60 = 45
The complete model for the given question is;
Number of fruit baskets that contain 12 fruits = 15 baskets
Number of fruit baskets that contain 15 fruits = 45 baskets
We are told that he bought 60 fruit baskets.
Percentage of the fruit baskets that have 12 pieces of fruit = 25%
Percentage of the fruit baskets that have 15 pieces of fruit = 75%
Thus;
Number of fruit baskets that contain 12 pieces of fruit = 25% × 60 = 15 baskets
Number of fruit baskets that contain 15 pieces of fruit = 75% × 60 = 45 baskets
Read more about percentages at; https://brainly.com/question/11865045
Topic 1: Translate
The sum of twice a number and 9 is -25."
Answer:
2n + 9 = - 25
Step-by-step explanation:
let the number be n then twice the number is 2n
The sum of 2n and 9 is 2n + 9
the result is - 25 , that is
2n + 9 = - 25
Answer:
x=-17Step-by-step explanation:
The sum of twice a number and 9 is -25."
2x + 9 = -25
2x = -34
x = -17
-----------------------------------------
check
2 * (-17) + 9 = -25
-25 = -25
the answer is good
heda ate 1/12 box of ceral now the box is 3/4 full
If f(x)= x2 - 4x - 4, find the input values that make the function 0.
Step-by-step explanation:
f(x) = x² - 4x - 4
the general formula for solving such a quadratic equation (for f(x) = 0) is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = -4
x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =
= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)
x1 = 2 + 2×sqrt(2)
x2 = 2 - 2×sqrt(2)
Barron's car dealership sold only trucks and vans this week. When Baron looks at the inventory left, he noticed he sold 80 vehicles but only 10 trucks. Select all the statements that are true A This week, the ratio of trucks to vans sold was 1:7. B This week, the ratio of trucks to vans sold was 7:1. C This means for every 7 vans sold, there was 1 truck sold. D This means for every van sold, there were 7 trucks sold. E This means for every 8 vehicles sold, 1 truck was sold.
The correct statement is for every 8 vehicles sold, 1 truck was sold.
Ratio expresses the relationship between two variables. It expresses the number of times one value is contained within another variable.
In this question, the ratio of trucks to vans is 10 : 80. This means that for every 10 trucks that is sold, 80 cars are sold. The given values can be expressed in its simplest form. To do this divide the numbers by 10. This gives the ratio 1 : 8. This means that for every 8 cars sold 1 truck are sold.
A similar question was answered here: brainly.com/question/411732
Explain what similarity means in terms of congruence and proportionality.
Answer: Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.
Step-by-step explanation: pls give brainlist
Someone please help me with this
Answer:
0.55=c
Step-by-step explanation:
0.55(2)=c
1.10=c
The total cost is $1.10
-3(-3x-7)=48 please show work
Answer:
x = 3Step-by-step explanation:
-3(-3x - 7) = 48=> 9x + 21 = 48=> 9x = 48 - 21=> 9x = 27=> x = 3Conclusion:
Therefore, the answer is 'x = 3'.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Answer:
−3(−3x−7)=48
Divide both sides by −3.
−3x−7= 48
Divide 48 by −3 to get −16.
−3x−7=−16
Add 7 to both sides.
−3x=−16+7
Add −16 and 7 to get −9.
−3x=−9
Divide both sides by −3.
x= −3 −9
Divide −9 by −3 to get 3.
x=3
Step-by-step explanation:
the formula to find the curved surface area of the cone
Step-by-step explanation:
the formula for finding curved surface area of the cone is is pi ×r ×l
What is the value of x?
Answer:
Option D is correct.
Step-by-step explanation:
We can tell that
[tex]4x + \frac{x}{2} + 2 + \frac{3x-4}{2} = 180[/tex]Now, let's simplify.
=> [tex]4x + 2 + \frac{4x-4}{2} = 180[/tex]
=> [tex]4x + 2 + 2x-2 = 180[/tex]
=> [tex]4x + 2x = 180[/tex]
=> [tex]6x = 180[/tex]
=> [tex]x = 30[/tex]
Therefore, Option D is correct.
Hoped this helped.
Shape 1 and shape 2 are plotted on a coordinate plané. Which statement about the shapes is true?
Answer:
We need to see all of the choices, but they are congruent and reflected and rotated.
Step-by-step explanation:
What value of x would make △PQR~△MNL?
Answer:
The answer would be 16 bc 12/18=0.6 and 16/24=0.6 so divide 10/0.6 and it gives you 16
Step-by-step explanation:
solve for y
3 (3y - 5) = 34
Simplify as much as possible
:)) thxx
Answer:
y=49/9
Step-by-step explanation:
Distribute 3 with 3y and -5
3 times 3y is 9y
3 times -5 is -15
So the equation now looks like this:
9y-15=34
Add 15 on both sides:
9y=49
Divide 9 on both sides
So y=49/9
Since there is no common value to divide by y is 49/9
If you want the decimal version it is 5.44=> (=> meaning continuing forever)
Hope this helps!
-9y + 4x - 20 = 0
-7y + 16 - 80
Answer:
Step-by-step explanation:
i will give you brainliest or whatever it’s called just pls answer within 45 minutes !!
Answer:
x = y1 x x1/ y2 x2
Step-by-step explanation:
The image of a point k(-3,4) under a translation 5/2 is
Answer:
try to use automath, it really helps
Un padre preocupado por motivar a su hijo en Matemáticas, se compromete a darle 1 euro por problema bien hecho, mientras que, si esta mal, el hijo le devolverá 0,5 euros. Después de realizar 60 problemas, el hijo ganó 30 euros. ¿Cuántos problemas resolvió correctamente?
Answer:
good morning I have any questions or need anything from the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer
The son solved 40 problems correctly out of the 60 problems he attempted.
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.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's denote the number of problems the son solved correctly by "x".
According to the problem, for each correct problem, the son earns 1 euro, and for each incorrect problem, he loses 0.5 euros.
Now,
Total earnings = 1 euro (x) - 0.5 euros (60 - x)
Simplifying this expression.
Total earnings = 1.5x - 30
We are given that the son won 30 euros in total, so we can set up the equation:
30 = 1.5x - 30
Solving for x.
1.5x = 60
x = 40
Therefore,
The son solved 40 problems correctly out of the 60 problems he attempted.
Learn more about expressions here:
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The complete question.
A father concerned about motivating his son in Mathematics agrees to give him 1 euro for a problem well done, while if it is wrong, the son will return 0.5 euros. After doing 60 problems, the son won 30 euros. How many problems did you solve correctly?
Don’t understand this math question
Answer: the answer is 5^6
Step-by-step explanation:
When you are multiplying exponents with the same base you add the exponents so 3+3=6
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
(ASAP)
Answer:
85°+8x-1+11x+1=180°(being sum of all angle in a
triangle)
or,85°-1+1+8x+11x=180°
or,84+1+19x=180°
or,85+19x=180°
or,19x=180-85
or,19x=95
or,x=95/19
x=5
