What happens to the graph of f(x) when it is multiplied
by a number between - 1 and 0?
find the inverse of this function and verify by using the composition of functions
f(x)= -3/x-3
Answer:
f(x)^-1 = 3x-3/x
Step-by-step explanation:
f(x) =-3/x-3
y= -3/x-3
x=-3/y-3
-3= (y-3)x
-3= xy-3x
-xy=-3x + 3
y= -3x +3/x
y= 3x-3/x
f(x)^-1 = 3x-3/x
PLEASE HELP ME on #57 WITH ALL WORK SHOWN!!
Tmr is my exam pls help...
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Explanation:
Recall that quadratic form is ax^2+bx+c.
So we need an x^2 term followed by an x term, then a constant at the end.
It may not look it, but the given equation is nearly in quadratic form.
Rewrite 9^(2x) as (9^x)^2
We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0
From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0
From here we can use the quadratic formula or factor. I'll factor.
w^2 - 2w - 3 = 0
(w - 3)(w + 1) = 0
w-3 = 0 or w+1 = 0
w = 3 or w = -1
---------------------
Now we use these values of w to find x
If w = 3, then,
w = 9^x
3 = 9^x
log(3) = log(9^x)
log(3) = x*log(9)
x = log(3)/log(9)
x = log(3)/log(3^2)
x = log(3)/(2*log(3))
x = 1/2
At the last step, we have the log(3) terms cancel.
Repeat for w = -1
w = 9^x
-1 = 9^x
log(-1) = log(9^x)
We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.
In short, w = -1 is extraneous so it doesn't lead to any x value solution.
So only w = 3 is useful.
Ultimately, the only solution is x = 1/2.
Solve the following problem. Choose the correct answer. Fairhaven Church buys four tires for its van. Each tire is priced at $43.95. The tire store offers churches a 3.5% discount. How much does Fairhaven Church pay in all? The church pays $ total.
Answer:
169.65
Step-by-step explanation:
43.95x4= 175.80 175.80x3.5=6.15 175.80-6.15=169.65
ILL MARK AS BRAINLESS PLS HELP
Answer:
5765/574
Step-by-step explanation:
there u go lol
what is the greatest factor (GCF) of 66 and 22
Answe
22 is your answers ....
There are 5 hockey games and 7 football games happening in the upcoming month. You decide to attend 3 games by picking at random. What is the probability that you pick 3 football games? Leave your answer as a simplified fraction.
Answer:
1/4
Step-by-step explanation:
5 plus 7 equals to 12
3 football games
3/12=1/4
Write an equation in slope-intercept form of the line that passes through (0,6) and (3, -3).
Please help :(
Answer:
y=-3x+6
Step-by-step explanation:
(y-y1)=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(-3-6)/(3-0)
m=(-9)/(3)
m=-3
(choose whichever point for the first formula, i will be using(0,6))
(y-6)=-3(x-0)
y-6=-3x
y=-3x+6
evaluate: 1: 80-4(2)divided by 8. 2: 92.3-(3.2 divided by 0.4) x 2(3) 3: {(2(3) x2.5) divided by 1/2} + 120. 4: [20+(2.5x3)]-3(3). 5: [(2x 10(0)) divided by 1/3] +8
Rita filled 2/5 of a jug with fruit juice. She then added 200 ml of milk to make a milkshake. At this stage, the ratio of the fruit juice to milk is 3:2
how much more liquid can the jug hold?
a)250 ml
b)300 ml
c)400 ml
d)450 ml
Answer:
250ml understand the concept please
The jug can hold 250 ml more liquid.
Let the jug can hold x ml liquid.
Given Rita filled 2/5 of a jug with fruit juice.
So, the amount of fruit juice is = 2/5 of x = 2x/5.
Then she added 200 ml milk.
Given the ratio of the fruit juice to milk is 3:2.
So,
[tex]\frac{2x}{5}:200=3:2\\\frac{\frac{2x}{5} }{200}=\frac{3}{2}\\2( \frac{2x}{5})=600\\\frac{4x}{5}=600\\ x=\frac{600*5}{4}\\x=750[/tex]
So the amount of fruit juice = [tex]\frac{2}{5}*750=300[/tex] ml.
Total amount of fruit juice and milk = 300+200=500 ml.
So the jug will hold = 750 - 500 =250 ml more.
Learn more: https://brainly.com/question/3796978
Mini muffins are also sold at Muffin Mart. Each mini muffin is sold for $0.35. Diego has $3.00 for mini muffins. How many mini muffins can he buy with $3.00? *
Answer:
I agree with both.
Step-by-step explanation:
If it's $3 per dozen that would be $0.25 per muffin because
3÷ 12 = 0.25
And if Andre has $2 than he can only afford 8 muffins because
0.25 x 8 = 2
And if Elena wants 16 muffins
16 x 0.25 = 4
So she will have to pay $4.
Hope this makes sense and helps!
40.54-29.63
Math problem
Hey
Answer:
10.91
Step-by-step explanation:
40.54-29.63= 10.91
BRAINLIEST ARE ALWAYS APPRECIATED :)
Answer:
10.91
Step-by-step explanation:
40.54
- 29.63
_______________
10.91
What is the approximate area of the circle shown below?
OA. 30 cm2
OB. 39 cm2
DC. 121 cm2
OD. 19.5 cm2
Please help ASAP!
Answer:
C. 121cm2
Step-by-step explanation:
The area of a circle is pir^2.
Let pi be rounded to 3.14 and r = 6.2cm
6.2^2*3.14 = 120.76, which rounds to 121cm2
Answer:
C) 21 cm²Step-by-step explanation:
area of a circle = π r²
= π (6.2)²
≈ 21 cm²
On one particular day, Jamal arrived late to find four other co-workers waiting for him to arrive. They were unable to do other work because they had made arrangements to have their position covered and to work with Jamal on a special project. Nothing could be done until he got there. The other workers earned wages as followed: Derek earns $10.00/hr; Sam earns $11.80/hr; Penny earns $11.00/hr and Zachary earns $13.00/hr. How much was lost in unproductive wages because Jamal arrived 15 minutes late?
Answer: $11.45
Step-by-step explanation:
Arriving 15minutes late simply means 15/60 = 1/4 of the wages has been lost. We then multiply 1/4 by each person's wage. This will be:
Derek = 1/4 × $10.00
= $2.50
Sam = 1/4 × $11.80
= $2.95
Penny = 1/4 × $11.00
= $2.75
Zachary = 1/4 × $13.00
= $3.25
The amount lost will be:
= $2.50 + $2.95 + $2.75 + $3.25
= $11.45
△JLK∼△PQR. Find the value of x.
Answer:
x = 30 is the answer
Step-by-step explanation:
proportions
plz help me with this i´ll cashapp you 10$
Answer:
B, C, D, F, H, J, K
Step-by-step explanation:
all those that I put are right I promise
hope this helped
Answer:
ABC = DEF
CBA = FED
B = E
C = F
A = D
AB = ED (actually, AB = DE ;w;)
AC = DF
CB = FE
Step-by-step explanation:
Which point is located at
2.15?
PLEASE HELP IN 30 MINUTES
Answer:
it is a
Step-by-step explanation:
Answer:
a
Step-by-step explalan
this is kinda confusing can someone help explain!!
Answer: all i can say is this for an edu guess
2 6 and 4 would be 40 or 30
3 5 and 7 would be 110 or 120
8 would be 20 or 10
also this was the first answer
Answer:
0
Step-by-step explanation: Angle 1 and 3 would be equal to 110 degrees because they are vertical
Angle 2 would be 70 degrees because a straight line is 180 degrees so you do 180 - 110 to get 70 degrees for angle 2
Angle 4 would be the same as angle 2 since they are vertical so angle 4 is 70 degrees
Angle 5 is corresponding to 1 so they will have the same angle
Angle 6 is corresponding to 2 so they will have the same angle
Angle 7 is vertical to 5 so they will have the same angle
Angle 8 is vertical to 6 so they will have the same angle
Angle 1 - 110
Angle 2 - 70
Angle 3 - 110
Angle 4 - 70
Angle 5 - 110
Angle 6 - 70
Angle 7 -110
Angle 8 -70
Lol sorry this took long to type hope this helps dude ! ^-^
Translate: the difference of x and 13, added to 12
Answer:
12+(x-13)
Step-by-step explanation:
the difference of x and 13 is subtraction and then added to 12 is addition.
Jeff bought 1.5 pounds of pork and 2.5 pounds each of beef and chicken. What was the total cost of the meat Jeff bought? Type of Meat Cost per Pound Beef $5.99 Chicken $4.79 Pork $3.64 Drag the numbers to complete the statement about what you need to find. Numbers may be used once, more than once, or not at all. 3.5231.52.514 Find the total cost of pounds of beef, pounds of chicken, and pounds of pork.
Answer:
$32.41
Step-by-step explanation:
Given that:
[tex]\begin{center}\begin{tabular}{ c c }Type of Meat & Cost per pound \\Beef & \$5.99 \\Chicken & \$4.79\\Pork & \$3.64\\\end{tabular}\end{center}[/tex]
Amount of pork bought by Jeff = 1.5 pounds
Amount of beef bought by Jeff = 2.5 pounds
Amount of chicken bought by Jeff = 2.5 pounds
Cost of number of pounds of each type of meat bought by Jeff can be calculated by multiplying the number of pounds by the cost of each type per pound.
Cost of pork for 1.5 pounds = 1.5 [tex]\times[/tex] 3.64 = $5.46
Cost of beef for 2.5 pounds = 2.5 [tex]\times[/tex] 5.99 = $14.975
Cost of chicken for 2.5 pounds = 2.5 [tex]\times[/tex] 4.79 = $11.975
Total cost = Cost of pork + Cost of beef + Cost of chicken = 5.46 + 14.975 + 11.975 = $32.41
Is the relation shown below a function? Use the graph below to justify your response.
(0, 0), (2, 0), (2, 2), and (3, 4)
Answer:
yes it is a function there is no graph so I cant justify it
The relation is not a function.
Relations
Relations that are functions will pass the vertical line test
Points
The points are given as:
(0,0), (2,0), (2,2), and (3,4)
GraphsNext, we plot the points on the graph (see attachment).
From the graph, we can see that a vertical line passes through points (2,0) and (2,2).
Hence, the relation is not a function.
Read more about functions and relations at:
https://brainly.com/question/2253924
42.5 subtract 7.32? Please help me with his question?
Step-by-step explanation:
42.4
-
7.32
----
move the decimal
42.40
07.32
-------
35.08
The equation below is the equation of a line in point slope form, what is the x-
coordinate of the point?
y+5=—3 (x+6)
Answer:
Step-by-step explanation:
X=-x^2+x-5
What does the statement T(20) = T(c) mean?
Linda had a previous balance of $1,000 and made an on-time credit card payment of $800. She has a credit line of x dollars and made purchases totaling y dollars. Write an algebraic expression that represents her current available credit.
Answer:
[tex]x-200+y[/tex]
Step-by-step explanation:
We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:
Previous balance - Payments + Total Purchases = New balance
where, previous balance = $1000; payments = $800; total Purchases = y
New balance = [tex]1000-800+y[/tex]
Next, to find her Credit balance or current available; we use the formula; Credit line - New balance
where credit balance = x; new balance = [tex]1000-800+y[/tex]
Current available credit = [tex]x-200+y[/tex]
If Mitch bicycles at an avenger speed of 18 miles per hour,how long will it take him to cover 76.5 miles?
Answer:
b
Step-by-step explanation:
Shannon graphed the system of equations. 7x – 4y= –8 y = y equals StartFraction 3 over 4 EndFraction x minus 3.x – 3 A coordinate grid with 2 lines. The first line passes through (0, negative 3) and (negative 4, negative 6). The second line passes through (0, negative 2) and (negative 4, negative 6). The lines appear to cross at about negative 5 and between negative 6 and negative 8.What of the following best describes the geography English colonists found when they first began to arrive in North America?
Answer:
its (-5 -5.9)
Step-by-step explanation:
i got id right on edg
On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 3, 0) and the y-axis at (0, 3). A straight blue line with a positive slope, labeled f of x, crosses the y-axis at (0, negative 3) and the x-axis at (1, 0). Both lines intersect at (3, 6).
Answer:
f(6) = g(3)
Step-by-step explanation:
Which statement is true regarding the functions on the graph?
f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
Solution:
g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:
g(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]
f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:
f(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]
f(6) = x-3 = 6 - 3 = 3
g(3) = x + 3 = 3 + 3 = 3
f(6) = g(3)
1. Natasha worked at a diner for $10per hour last week and already had $42 in her bank account? She paid $206 for a prom dress. The equations 206 = 42 + 10h represents this problem. How many hour did she work to pay for the prom dress?
2. Translate the following sentence into a mathematics equation. The sum of 10 and five time a number is the same as the difference of the number and 6
Answer:she worked 17 hours
Step-by-step explanation: 10×17=170+42=212
Answer:
She worked 16.4 hours
Step-by-step explanation:
Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Denver was $225. Now the cost is $300. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
33.33% increase. 55.56% increase.
Step-by-step explanation: