Answer:
(1, 4)
Step-by-step explanation:
subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3
get rid of the (), which you will get 7x-x-3=3
combine like terms and get 6x-3=3
move 3 to the other side and divide both sides by 6 and get x=1
use the first equation y=x+3 and subsitude 1 for x and get y=1+3
y=4
Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)
Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
witch equation represents a linear function
C - -1
D - 3/4
Can someone please help? I’ll give you brainliest.
Answer:
Step-by-step explanation:
The answer is (A)
answer:A XHBBUFXZHBFIHIFCXIJFIJVFIIJIJVFIJIJF
Hilary sells makeup, primarily lipsticks and eye shadows. She sells the lipsticks for $10 and the eye shadows for $5. At a home show, she wants to sell at least $120 of these two products, knowing she has at most 20 items in her inventory that are either lipsticks or eye shadows.
She makes $7 on every lipstick and $3 on every eye shadow she sells. Use the information below:
Let x = lipsticks
Let y = eye shadows
Then $10x + $5y > $120
and x + y < 20.
The graph of these functions is shown to the right. It is impossible to sell a negative number of makeup items, so x and y both have to be greater than zero. Therefore, the functions are confined to the first quadrant.
Profit function:
P = $7x + $3y
How many lipsticks and eye shadows should be sold to maximize the total profit?
A.
The profit is maximized when 20 lipsticks and 0 eye shadows are sold.
B.
The profit is maximized when 12 lipsticks and 0 eye shadows are sold.
C.
The profit is maximized when 16 lipsticks and 4 eye shadows are sold.
D.
The profit is maximized when 4 lipsticks and 16 eye shadows are sold.
Sadie goes for an afternoon walk. The graph shows her distance from home over time
Answer: The max distance is 4 miles but If you add it all together it's 8 miles in 60 mins (1 hour)
Step-by-step explanation:
Distance time graph shows that how the distance of the object changes with time. The average speed of Sadie is 8 miles per hour.
To solve this problem, we need to know about the distance-time graph.
What is distance-time graph?Distance time graph shows that how the distance of the object changes with time.
Given information-
The graph given which shows the distance of Sadie from home over time as she goes for the afternoon walk.
The table attached below shows the distance of Sadie in each 15 minutes.
The total distance covered by the Sadie is,
[tex]=2+2+4\\=8[/tex]
Thus the distance covered by the Sadie is 8 miles.
The total time taken by Sadie to cover 8 miles distance is 60 minutes or 1 hour.
As it is not clear that what has to be find out in the given problem. Let assume that the average speed of Sadie has to be find out.
Thus the average speed is the ratio of total distance traveled to the total time taken. Thus,
[tex]v=\dfrac{8}{1} \\v=8[/tex]
Thus the average speed of Sadie is 8 miles per hour.
Learn more about the distance-time graph here;
https://brainly.com/question/19730285
matt would like to share 5/8 of a pound with 4 with his 3 friends how many pound of chocolate will each of the 4 people receive
Estimate: 98.4 ÷ 8.8
Answer:
11.1
Step-by-step explanation:
Answer:
If we are estimating, it would be about 98 ÷9 = 10.8 or 11 if you round up
Step-by-step explanation:
hope this helps
please help me asap!!!
Answer:
230
Step-by-step explanation:
Add the other angles for a total of 130 degrees there is a total of 360 degrees in the interior angle of a quadrilateral subtract 130 from 360.
Answer:
m< CDF = 58°
Step-by-step explanation:
Key skills needed: Congruent Triangles
1) We can use Triangle Congruence Rules to prove that Triangle EDF and Triangle CDF are congruent triangles.
2) Since both triangles have 1 right angle, they are both triangle triangles.
3) Both triangles share the same hypotenuse (DF)
Also, it gives us EF is 36, and FC is 36 --> This means that EF ≅ FC
Since both are Right Triangles, we can use Right Triangle HL Congruence to prove it
HL means Hypotenuse-Leg
This rule can only be applied to right angle triangles. In order to use this rule, a hypotenuse and a leg of the triangles need to proven congruent.
4) Since ΔEDF ≅ ΔCDF with Right triangle HL, we can say that < CDF is congruent to < EDF. These are corresponding parts of the triangle.
--> To say that < CDF is congruent to < EDF, we can use the theorem:
If Δs are ≅, then all corresponding parts are ≅.
5) Therefore, <CDF ≅ <EDF (which means the measures of the angles are the same value)
Since <EDF is 58°, <CDF would also be 58°
Hope you understood and have a nice day!! :D
f(x) is a function.
0
3
с а м а
7
12
f(x)Help
Answer:
It's a function
Step-by-step explanation:
Because non of the inputs have the same output
1) Which of these are equivalent to - ? Choose ALL that apply.
PLEASE ANSWER ASAP !!!!
*ANSWERS ON PIC*
Evaluate the following logarithm 3/4log16
Solve: 33 + 27 ÷ 9 + (30 ÷ 5)
Answer:
42
Step-by-step explanation:
You need to follow P--E--M--D--A--S
A X U I A U
R P L V D B
E O T I D T
N N I T I R
T E P I T A
H N L O I C
E T I N O T
S S C N I
I A O
S T N
I
O
N
help please. I need
Answer:
the slope is= 3/2
y= (3/2)x + (-4)
Write an equivalent expression in standa
form and collect like terms.
2x - (x + 8) - 4
_____indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
Select one:
a. Tolerance for ambiguity
b. Risk propensity
c. Workahollism
d. Authoritaritznism
= Tolerance for ambiguity
Step-by-step explanation:
indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
Find the Volume of the Grain Silo shown below that has a diameter of 20ft and a height of 40ft. Round your answer to the nearest hundredth . The top shape is a hemisphere and the bottom is a cylinder .
9514 1404 393
Answer:
14,660.77 ft^3
Step-by-step explanation:
The volume of a hemisphere-topped cylinder is given by the formula ...
V = πr^2(2/3r +h)
where r is the radius and h is the height of the cylindrical section. Of course, the radius is half the diameter, so this silo has a volume of ...
V = π(10 ft)^2(20/3 +40 ft) = 14,660.77 ft^3
__
Additional comment
The volume is 14,653.33 ft^3 if you use 3.14 for π.
Answer:14,660,77ft
Step-by-step explanation:
You deposit $60 in an account earning simple interest at an annual rate of 5% after 12 years what is your new balance
Answer:
The total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.
Step-by-step explanation:
Given
Principle P = $60
Rate r = 5% = 5/100 = 0.05
Time period t = 12 years
To determine
New Balance A = ?
Using the formula
A = P(1 + rt)
A = 60(1+(0.05×12))
A = $96.00
Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.
lOOK AT THE SUN COME BACK THEN LOOK AT MY QUESTION.
the first one 4 x (7-3)
Answer:
Step-by-step explanation:
4×(7-3)
PLEASE HELP!! WILL GIVE 200 POINTS PLUS BRAINLY!!!
Question2. Eric is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equations obtained in Part A for the first 5 hours? (5 points)
Question 3. The graph shows the functions f(x), p(x), and g(x):
Graph of function g of x is y is equal to 2 multiplied by 0.85 to the power of x. The straight line f of x joins ordered pairs minus 7, 3 and minus 3, minus 2 and is extended on both sides. The straight line p of x joins the ordered pairs 4, 1 and minus 3, minus 2 and is extended on both sides.
Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points)
Part B: Write any two solutions for f(x). (3 points)
Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)
Question 4. The coordinate plane below represents a town. Points A through F are farms in the town.
graph of coordinate plane. Point A is at negative 3, negative 4. Point B is at negative 4, 3. Point C is at 2, 2. Point D is at 1, negative 2. Point E is at 5, negative 4. Point F is at 3, 4.
Part A: Using the graph above, create a system of inequalities that only contains points A and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)
Part B: Explain how to verify that the points A and E are solutions to the system of inequalities created in Part A. (3 points)
Part C: Chickens can only be raised in the area defined by y < −2x + 4. Explain how you can identify farms in which chickens can be raised. (2 points)
Question 5. Tom has taken out a loan for college. He started paying off the loan with a first payment of $200. Each month he pays, he wants to pay back 1.2 times the amount he paid the month before, Explain to Tom how to represent his first 30 payments in sequence notation, Then explain how to find the sum of his first 30 payments, using complete sentences,
https://brainly.com/question/11874728 here is the answer! pls give brainliest
Answer:
Slope intercept form: The straight line equation is given by:
, .....[1] where m is the slope of the line.
(A)
Let x represents the number of hours and y represents the velocity of the runner.
As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.
we have two points as (1, 5) and (3, 3)
Calculate first slope.
Formula for slope(m) is given by;
Then substitute the given values we get;
Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;
Using distributive property:
Add both sides by 5 we get;
or
Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,
(B)
x y = 6 -x
1 5
2 4
3 3
4 2
5 1
Now, plot these points on the graph for the first 5 hours as shown below in the attachment.
Slope intercept form: The straight line equation is given by:
, .....[1] where m is the slope of the line.
(A)
Let x represents the number of hours and y represents the velocity of the runner.
As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.
we have two points as (1, 5) and (3, 3)
Calculate first slope.
Formula for slope(m) is given by;
Then substitute the given values we get;
Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;
Using distributive property:
Add both sides by 5 we get;
or
Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,
(B)
x y = 6 -x
1 5
2 4
3 3
4 2
5 1
Now, plot these points on the graph for the first 5 hours as shown below in the attachment.
Step-by-step explanation:
6 batteries cost 29 dollars what is the unit rate?
Answer:
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour
Answer:
[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]
Step-by-step explanation:
Unit rate is a ratio that compares two measurements.
Denominator is 1
[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]
most of the time we ____ energy but it is everywhere around us
Answer:
waste
Step-by-step explanation:
Try to think of something that doesn't involve energy and you won't get very far. Even thinking—even thinking about energy!—needs some energy to make it happen. In fact, everything that happens in the world uses energy of one kind or another. But what exactly is energy?
Energy is a bit of a mystery. Most of the time we can't see it, yet it is everywhere around us. Revving car engines burn energy, hot cups of coffee hold energy, street lights that shine at night are using energy, sleeping dogs are using energy too—absolutely everything you can think of is using energy in one way or another. Energy is a magical thing that makes other things happen. Everything in the world is either energy or matter ("stuff" around us) and even matter, when you really get down to it, is a kind of energy!
A rate in which the first quantity is compared to 1 unit of the second quantity
Answer:
it will compare unit to some quanlity to a different number of units of a different queality.
Step-by-step explanation:
a/b=c/d proportions are two fractions that are equal example: 1/2=2/4
Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =
Answer:
15%
5%
24%
40%
32%
80%
32%
54%
60%
66%
9%
89%
Step-by-step explanation:
Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010
Answer:
Step-by-step explanation:
Glacier National park has the area in year 2007 = 142 acres
It's shrinking at a rate = 4.4% per year
a). Since, shrink in the size of the glacier is an exponential process,
Therefore, formula for the size of the glacier in 'n' years,
A = 142(1 - 0.044)ⁿ
A = 142(0.956)ⁿ
b). Difference between year 2007 and 2020 = 13 years
By substituting n = 13 years in the formula,
A = 142(0.956)¹³
= 79.11 acres
Therefore, size of the glacier in year 2020 = 79.11 acres
c). Difference between year 2007 and 2010 = 3 years
By substituting n = 3 years in the formula,
A = 142(0.956)³
A = 124.07 acres
Loss of the ice from the glacier = 142 - 124.07
= 17.93 acres
Therefore, loss of the ice from the glacier in 3 years = 17.93 acres
Consider the graph shown.
Complete the sentence based on the graph.
The value of f(x) is -2 at x =
and the value of f (-2) =
Answer:
The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.
Step-by-step explanation:
✔️The value of f(x) is -2 also means y = -2.
So, looking at the graph, the corresponding value of x when y = -2 is x = 0.
✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.
From the graph, at x = -2, the corresponding y-value is -5.
HELP!!!!!! Due in 30 mins
Answer: Bianca is right.
Step-by-step explanation: f(x) and g(x) means the function of x(input) which is basically y(output). You know they are not the same because the 3 is separate in the first equation. You can pick any ordered pair for an input and output, I chose (4,5). You replace all x’s with 4 and y’s with 5. Solve by using order of operations and you’ll be able to back up your answer. [f(x): 5= 6 g(x): 5= 3.5]
a) 17
b) 15
c) 18
d) 16
^ Which one ?
Answer:
15
Step-by-step explanation:
if one side is 9, another is C, based on the angle tilt would have to be 15.
Hope its helps.
Mr. Starnes and his wife have 6 grandchildren: Connor, Declan, Lucas, Piper, Sedona, and Zayne. They have 2 extra tickets to a holiday show, and will randomly select which 2 grandkids get to see the show with them. Find the probability that at least one of the girls (Piper and Sedona) get to go to the show.
Answer:
the probability that at least one of the girls (Piper and Sedona) get to go to the show is 0.533
Step-by-step explanation:
The computation of the probability that have at least one of the girl get to go is shown below;
[tex]= \frac{^2C_1 \times ^4C_1}{^6C_2} \\\\= \frac{8}{15}\\\\= 0.53333[/tex]
Hence, the probability that at least one of the girls (Piper and Sedona) get to go to the show is 0.533
So the same is relevant
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/5
The number of grandchildren = 6
The number of girls = 2
Two grandkids out of 6 are to be selected
Number of ways of choosing 2 grandkids out of 6 is 6C2
[tex]6C2=\frac{6!}{(6-2)!2!} \\\\6C2=\frac{6!}{4! \times 2!} \\\\6C2 = 15[/tex]
Number of ways of selecting 2 grandkids out of 6 = 15 ways
Number of ways of selecting 1 out of the two girls =2C1
[tex]2C1= 2[/tex]
Number of ways of selecting 1 out of the two girls = 2 ways
Number of ways of selecting of selecting both girls =2C2
Number of ways of selecting of selecting both girls = 1 way
Probability of selecting 1 out of the two grandkids = 1/15
Probability of selecting both girls = 2/15
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/15 + 2/15
probability that at least one of the girls (Piper and Sedona) get to go to the show = 3/15
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/5
Learn more here: https://brainly.com/question/20709225
If
5
(
p
+
3
)
=
18
+
2
p
, what is the value of
p
?
Answer:
p=1
Step-by-step explanation: