what is 18/15 in lowest terms
Answer:
Find the GCD (or HCF) of numerator and denominator. GCD of 18 and 15 is 3.
18 ÷ 315 ÷ 3.
Reduced fraction: 65. Therefore, 18/15 simplified to lowest terms is 6/5.
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.
At a restaurant the ratio of kids meals sold to adult meals sold was 2:1. If there were 8
kids meals sold, what is the combined amount of kids and adult meals sold?
Answer: 12
Step-by-step explanation:
8/2=4
4x1=4
8+4=12
Answer:
12
Step-by-step explanation:
following the 2:1 ratio, or 2 kids meals for every adult meals sold, so if 8 kids meals are sold, 4 adult meals must have been sold.
8/2 = 4
Find the midpoint of PQ
Answer:
?? ?? ?? ?? ?? ?? ?? ?? ?? ??
PLEASE HELP ME!! THANKS :)
Answer:
1. y=7
2. y=17
3. y=21
4. y=24
Step-by-step explanation:
I hope you're able to complete the problem, have a great day/night! <3
For all values of x, f(x)=2x+1 and g(x)=x^2. Solve fg(x)=gf(x). (Mathwatch)
[tex]\text{Given that,}\\\\f(x) = 2x+1,~~ g(x) = x^2\\\\\ \text{now,}\\\\f(g(x)) = g(f(x))\\\\\implies f(x^2) = g(2x+1)\\\\\implies 2x^2+1=(2x+1)^2\\\\\implies 2x^2+1= (2x)^2 +2\cdot 2x + 1\\\\\implies 2x^2 +1 = 4x^2 + 4x +1\\\\\implies 4x^2 -2x^2 +4x +1-1 =0\\\\\implies 2x^2 +4x =0\\\\\implies 2x(x+2)=0\\\\\implies 2x =0~~ \text{or}~~ x+2 =0\\\\\implies x =0 ~~~\text{or}~ x =-2\\\\\ \text{Hence,}~ x =0 ~\text{and} ~ x =-2~ \text{are the solutions.}[/tex]
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
55:5 for the second one, 121:11 for the second one
Step-by-step explanation:
Answer:
55 and 121
Step-by-step explanation:
22/2=11
11=1
11*5=55
11*11=121
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
1, 2, 10 i think this is correct
Answer:
1210Step-by-step explanation:
You answer the question by understanding what the problem statement is telling you.
The double number line shows that 2 1/2 bananas make 1 loaf of bread.
The first blank is filled with 1.
__
You notice the number of bananas on the second line of the table is double the number on the first line: 5 = 2 × (2 1/2). That means the number of loaves that can be made is 2 × 1 = 2.
The second blank is filled with 2.
__
You notice the number of loaves on the third line of the table is double the number of loaves you just filled in on the second line. That means the number of bananas required is double the number listed on the second line.
2 × 5 = 10
The third blank is filled with 10.
A driver travels for 2 hours at 90 miles per hour, during which her car gets 30 miles per galoon of gasoline. She is paid $0.70 per mile, and her only expense is gasoline at $4 per gallon. What is her net rate of pay, in dollars per hour, after this expense?
Answer:
Her net rate of pay in dollars per hour after the expense = $26
Step-by-step explanation:
Given:
Driver travels for 2 hours.
Speed = 60 miles per hour
Her car runs at the rate of 30 miles per gallon of gasoline.
She is paid $0.50 per mile.
Expenses is price of gasoline at the rate of $2.00 per gallon.
To find her net rate of pay in dollars per hour.
Solution:
In one hour the driver travels = 60 miles
For each mile she is paid = $0.50
So, for 60 miles she will be paid =
In a gallon of gasoline the car travels = 30 miles
So, to travel 60 miles, the car would require = gallons of gasoline
1 gallon of gasoline cost = $2.00
Expenses for 2 gallons of gasoline =
So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.
Thus, her net rate of pay in dollars per hour after the expense =
Brainlist please
The net rate of pay is $122 for the two hours journey.
The driver travels for 2 hours at 90 miles per hour.
Total distance travelled = 2 hours * 90 miles per hour = 180 miles
Money paid to driver = $0.70 per mile * 180 miles = $126
Fuel consumption = 30 miles per gallon, hence:
Total fuel consumption = 180 miles / (30 miles per gallon) = 6 gallon
Total expense = $4 per gallon * 6 gallon = $24
Net rate of pay = $126 - $24 = $122
The net rate of pay is $122 for the two hours journey.
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The instructions for a fruit drink say to mix one part blackcurrant juice with four parts water. I
want to make one litre of this fruit drink. How much blackcurrant juice should I use? Give your
answer in millilitres.
ml
Answer:
you should use minimum 8 black cur
-8y + 1 = -9y. solve for y.
Which statement is not used to prove that triangle ABC is similar to triangle ADC?
Answer:
what are the statements we pick from?
Step-by-step explanation:
most likely look out for angles and lengths that go against the established ratio
Which integer in the set has the smallest value (-17, -7, -12, 2)? A. 2 B. -7 C. -12 D. -17
The smallest integer from the given set {-17, -7, -12, 2} is -17, making option D the right choice.
An integer is a whole number that can be positive, negative, or zero and is not a fraction.
The integer values are in the following order: negative, zero, then positive.
The real value of a negative integer decrease as the number increases.
For positive integers, the real value increases as the number increases.
In the question, we have been asked for the integer with the smallest value in the set {-17, -7, -12, 2}.
As discussed above, we know the order for negative and positive integers.
Thus, arranging the set in ascending order, we get:
-17 < -12 < -7 < 2.
Thus, the smallest integer from the given set {-17, -7, -12, 2} is -17. Hence, option D is the right choice.
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so tell me how many assignments are you missing?
I have like 27 missing assignments
To train for an upcoming marathon, Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks.
There are many ways to approach this problem.
Week Miles
1 2
2 2.5
3 3
4 3.5
5 4
6 4.5
Write an equation to represent the nth term of the sequence.
Answer:
f(x)= .5x + 2
Step-by-step explanation:
Now this is not to complicated
first the constant is 2
after each day she gains .5 miles
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation to represent the nth term of the sequence is y=0.5x+2.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Let the distance travelled by Susie in any week,x be represented by y.
Given that Susie will run 2 miles in the initial or in the first week. Therefore, the distance for the initial work week will be,
Initial distance = y-intercept = c = 2
Further, if the daily distance is increased by half a mile each of the following weeks. Therefore, the slope of the equation is the change in the distance, therefore, we can write,
Slope, m = Change in the distance = 0.5
Now, if the equation represents the nth term of the sequence, then we can write,
y = mx + c
y = 0.5x + 2
Hence, the equation to represent the nth term of the sequence is y=0.5x+2.
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If IK and LN are parallel lines and M
Answer:
40°
Step-by-step explanation:
Both angles are opposites so together they equal 180.
180 - 140 = 40
I hope this helps!!
The measure of angle IJM is 40°.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given are two parallel lines IK and LN.
From the figure, OH is a transversal line that intersects the given parallel lines.
We have m ∠IJH = 140°
We have to calculate the measure of ∠IJM.
Since ∠IJH and ∠IJM are the pair of linear angles, the sum of their angles is 180°.
m ∠IJH + m ∠IJM = 180°
140° + m ∠IJM = 180°
m ∠IJM = 180° - 140°
m ∠IJM = 40°
Hence 40° is the measure of angle IJM.
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Describe the slope of the line with the equation
y = -4x + 10.
A: positive slope
B: negative slope
C: zero
D: undefined
[tex]\huge \tt༆ Answer ༄[/tex]
The given equation of the line is in slope intercept form, and if we equate the given equation with general equation of line (y = mx + c) , we will get slope (m) = -4
And therefore, the slope of the line is B
NegativeWhat is the equation of the line that passes through the point (16,-7) and has a slope of m=-3/4 written in point-slope form?
Answer:
y+7=-3/4(x-16)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=-3/4(x-16)
y+7=-3/4(x-16)
Please mark me as Brainliest if you're satisfied with the answer.
Consider this problem: 2+3(3)+5(2+3)+2(-5)
a.
How many terms are in the expression?
Answer:
[tex]5[/tex]
....,,,✨✨✨✨✨✨✨
53 1/3 in the form 53^n where n is a whole number
8. Karen had a balance of $57 in her
checking account. She wrote a
check for $90. What is her new
balance?
Answer:
-$33
Step-by-step explanation:
KAREN now ows money to the bank
x^2-2x+3k=0 find k with D>0
sorry for the bad example.
Step-by-step explanation:
b²-4ac>0
(-2)²-4(1×3k)>0
4-12k>0
-12k>-4
k<⅓
Answer:
Step-by-step explanation:
b²-4ac>0
(-2)²-4(1×3k)>0
4-12k>0
-12k>-4
k<⅓
Solve for number 17
Answer:
The persification of A C Square BX LFO xc83 cx>? 783fx
Step-by-step explanation:
Please help me with this question!
Answer:
a) 45/4
b) 3
c) 12
d) 24
e) no; rate of change varies
Step-by-step explanation:
The average rate of change on interval [a, b] is given by ...
m = (f(b) -f(a))/(b -a)
The function values are read from the table.
__
a) m = (f(4) -f(0))/(4 -0) = (48 -3)/(4 -0) = 45/4
b) m = (f(1) -f(0))/(1 -0) = (6 -3)/(1 -0) = 3
c) m = (f(3) -f(2))/(3 -2) = (24 -12)/(3 -2) = 12
d) m = (f(4) -f(3))/(4 -3) = (48 -24)/(4 -3) = 24
e) Not a linear function. The rate of change is not constant.
The number of hours required to paint a house varies indirectly to the number of painters. If 5 painters painted a house in 120 hours, how many painters would be required to paint a similar house in 50 hours?
The answer is 2 workers coz there can't be 2.08333... workers
Community Involvement Claim: Three-fourths of all adults believe that it is important to be involved
in their communities. Based on a USa Today/Gallup poll of 1021 randomly selected adults, 89%
believe that it is important to be involved in their communities. find the value of the test statistic.
Using the z-distribution, it is found that the value of the test statistic is z = 10.33.
At the null hypothesis, it is tested if the proportion is of [tex]\frac{3}{4} = 0.75[/tex], hence:
[tex]H_0: p = 0.75[/tex]
At the alternative hypothesis, it is tested if the proportion is different, that is:
[tex]H_1: p \neq 0.75[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.75, \overline{p} = 0.89, n = 1201[/tex]
Hence:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.89 - 0.75}{\sqrt{\frac{0.75(0.25)}{1021}}}[/tex]
[tex]z = 10.33[/tex]
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What is 16 divided by 5%=?
Answer:
320
Step-by-step explanation:
I am assuming we are trying to find 16/5%.
5% is equal to 1/20, so we can make this into :
[tex]\frac{16}{\frac{1}{20} }=16*\frac{20}{1}[/tex]
This is equal to 16 x 20 = 320
A diver dove from a board that was 6 3/4 feet above the water's surface, and descended until he was 8 1/3 feet below the water's surface. What was the total distance that the diver desceded?
Answer:
15 1/12 feet
Step-by-step explanation:
Well if he descended 8 1/3 feet below the water, that means he must've went from board to water which is 6 3/4 feet then down 8 1/3 feet
6 3/4 + 8 1/3
= 6 9/12 + 8 4/12
=15 1/12 feet
Mrs. Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks. Her class uses 2 of the glue sticks for a project. How many glue sticks are left?
Answer:
18 glue sticks are left.
Step-by-step explanation:
There are 5 glue sticks in each pack which means you multiply. 4*5=20. The class uses 2 glue sticks so 2 are removed. 20-2=18. i hope this helped !!! :) <3 !!
Gabby took a math quiz last week. There were 28 problems on the quiz and Gabby answered 25% of them correctly. How many problems did Gabby get correct? problems
Answer:
7
Step-by-step explanation:
25% of 28 =
= 0.25 × 28
= 7
Answer: 7
