Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ [tex]\frac{2[g(x)]}{2}[/tex] = [tex]\frac{10x}{2}[/tex] + [tex]\frac{4}{2}[/tex]
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
25 points.
Write an equation in slope intercept form
(-3,0) (2,1)
What is the line of this graph in Standard Form? *
(9,6) (-5,1)
A. 5x + 14y = 39
B. 7x + 47 = -53
C. 5x - 14y = -39
D. 7x - 4y = 53
Can. Y’all help with this
Answer:
Your Answer Would be the 3rd Option.
Step-by-step explanation:
The Initial Value is : 4. All you have to do is look for when the x = 0
ROC: 1/2. Minutes =x, Inches= Y. To find ROC, take
Y2 - Y1
----------
X2 - Y1
Replacing those with numbers:
5 - 4
-------
2 - 0
Your ROC is 1/2 .
Equation:
y= 1/2x + 4
Know that The 4 is the initial value, so it's always in that spot. Your ROC is always Next to the x, which also means it's the slope.
19/3-3/4X=1/2X+5 Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
Step-by-step explanation:
ते,,र,,रोयद्ल्य्फ्ल्य्द्त्फिफ्क्त्दोउ
Which function is graphed on the coordinate plane below?
Answer:
I'm really good at graphing and math so anytime you need help tell me.
also there is no coordinate plane....
Step-by-step explanation:
2) Find the perimeter of the following
polygon.
7 in.
10 in.
12 in.
15 in.
Lines AAA, BBB, and CCC show proportional relationships.
Which line has a constant of proportionality between yyy and xxx of 555?
The line that has a constant of proportionality of 5 between y and x is: line A.
How to Find the Constant of Proportionality?The constant of proportionality of a proportional relationship is found using the formula:
Constant of proportionality, k = y/x, where (x, y) is any point on the proportional graph.
Find the constant of proportionality for line A using a point, (1, 5):
Constant of proportionality, k = y/x = 5/1 = 5
Find the constant of proportionality for line B using a point, (3, 5):
Constant of proportionality, k = y/x = 5/3
Find the constant of proportionality for line C using a point, (3, 2):
Constant of proportionality, k = y/x = 2/3
Therefore, the line that has a constant of proportionality of 5 between y and x is: line A.
Learn more about constant of proportionality on:
https://brainly.com/question/1835116
#SPJ1
whats 1+1 i need to know asap
This is probably the hardest question I've ever had to answer. I'm going to take a wild guess and say 2?????
help a girl out!!! give brainliest!!
Answer:
-1 i believe because that is the only x intercept. i apologize if this is wrong
Step-by-step explanation:
kelsey charges 4.50 per hour for babysitting. If she works for 8 hours on Saturday and 6 hours on Sunday, how much does she earn
Which graph represents the equation 6x−5y=10 ? A image 1ab24067a1a445c6b2cc4633bfedfbb0 B image 28e91cd406af4c89bbd5cef1ec880a48 C image cfe6c7f17af74557ac6084f98e5bf5e0 D image 6fe8450f191547f885106542b28826f1
Answer:
i'm sorry
Step-by-step explanation:
what do you mean
Given f(x)=5-3x, if f(x)=-19, find x
X would equal 8
Step-by-step explanation:
5-3(8) = -19
5 multiplied by negative 3 times 8 equals negative 19
negative 3 times 8 equals negative 24 plus 5 equals 19
Help please. Will Mark Brainliest!!
Answer:
7 / 1
Step-by-step explanation:
0.¯7 = 0.7777.....
10x = 7.7777.....
9x = 0.7777.....
(-) (-)
___________
1x = 7
x = 7 / 1
Simplified fraction = 7 / 1.
math
Match the answers
Answer:
No solution
Infinitely many solutions
One solution
Step-by-step explanation:
The first expression:
-2(3x - 1) = -6x -1
Expand the parentheses;
-6x + 2 = -6x -1
-6x + (-6x) = -1 -2
0 = -3
This problem has no solutions
Second expression:
2(3x-1) = 6x -2
Expand the parentheses;
6x - 2 = 6x -2
6x -6x = -2 + 2
0 = 0
This problem has infinitely many solutions
Third expression:
2(3x - 1) = -6x -2
Expand the parentheses;
6x -2 = -6x - 2
6x + 6x = -2 + 2
12x = 0
x = 0
This equation has only one solution
Find the value of x in the triangle shown below.
16
12
Answer: 20
Step-by-step explanation:
Hellp meee please I’m about to fail this subject!
Answer:
So first you have to do 12-2 since it's in parenthesis. It is 10. 5+4 is 9, and 9 times 10 is 90. 3 squared is 9, then you divide 90 by 9. The answer is 10.
I have no idea??? I'm 3rd grade.
can someone please help me ??
Answer:
The answer is letter C.
Step-by-step explanation:
hope this helps
I need a little bit of help right now.
1 point
A shirt is on sale for 40% off. The sale price is $12. How much was the
original price? *
20.00
16.80
19.20
8.00
Answer:
B
Step-by-step explanation:
0.4 x 16.8 or 40% off of 16.80 is 12
Evaluate the expression |-12|
Answer:
it's 12
Step-by-step explanation:
when the number is between those boxes whether it's negative or positive, it's automatically a positive.
Plzz Due Now!!!
Part A: Jake rented a kayak at $26 for 3 hours. If he rents the same kayak for 5 hours, he has to pay a total rent of $42. Write an equation in the standard form to represent the total rent (y) that Jake has to pay for renting the kayak for x hours.
Part B: Write the equation obtained in Part A using function notation.
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
By the way this anwser is not mine,I just want to help.The orginal anwser is here: https://brainly.com/question/8916711
We can write the information we know as ordered pairs. The independent variable, or x, in this case would be the amount of time, and the dependent variable, or y, would be the amount of money. This is because the amount of money charged changes depending on the amount of time. This gives us the ordered pairs (3, 26) and (5, 42). Using the formula for slope we have:
. A slope of 8 tells us that the hourly rental is $8. We can use this to back up and see what the rental fee is. When renting the kayak for 3 hours, Jake paid 26. We know that it costs $8 per hour; 8(3) = 24. This leaves us 26-24=$2 for the rental fee. The equation would then be
y = 8x + 2.
Writing this as a function would be f(x) = 8x + 2.
To graph this, we would label the x-axis as time (hours) and the y-axis as money (dollars). We would go up to the y-intercept, 2, and plot our point. (The y-intercept is 2 because in the form y=mx+b, b is the y-intercept; that's where our 2 is.) From here, we know the slope is 8=8/1, so we would go up 8 and over 1 to the right to plot our next point. Then we would draw our line between these two points.
Answer:
We can write the information we know as ordered pairs. The independent variable, or x, in this case would be the amount of time, and the dependent variable, or y, would be the amount of money. This is because the amount of money charged changes depending on the amount of time. This gives us the ordered pairs (3, 26) and (5, 42). Using the formula for slope we have:. A slope of 8 tells us that the hourly rental is $8. We can use this to back up and see what the rental fee is. When renting the kayak for 3 hours, Jake paid 26. We know that it costs $8 per hour; 8(3) = 24. This leaves us 26-24=$2 for the rental fee. The equation would then bey = 8x + 2.Writing this as a function would be f(x) = 8x + 2.To graph this, we would label the x-axis as time (hours) and the y-axis as money (dollars). We would go up to the y-intercept, 2, and plot our point. (The y-intercept is 2 because in the form y=mx+b, b is the y-intercept; that's where our 2 is.) From here, we know the slope is 8=8/1, so we would go up 8 and over 1 to the right to plot our next point. Then we would draw our line between these two points.
Step-by-step explanation:
Lot 1 lies where two roads meet at a 79° angle. Lot 2 lies where two roads meet at a 65° angle. Lot 3 lies where two roads meet at a 36° angle. All lots have two sides measuring 20 feet as shown. A triangle is shown. At each of the points of the triangle, a line representing a fence is drawn to form a smaller triangle at each point. All other sides of the smaller triangles are 20 feet. Lot 1 lies where the angle is 79 degrees. Lot 2 lies where the angle is 65 degrees. Lot 3 lies where the angle is 36 degrees. A fence runs along the back wall of each property, as shown in the diagram. Which lot has the longest fence along the back wall? Which lot has the shortest fence along the back wall?
Answer: First is Lot 1
Second is Lot 3
Step-by-step explanation:
Answer:
First answer is Lot 1
Second Answer is Lot 3
Step-by-step explanation:
A credit card is 0.76 mm thick. How thick is a stack of 10*3 credit cards? Explain your reasoning.
Answer: 760 mm thick
Step-by-step explanation: Because 10 cubed equals 1000, just multiply .76 by 1000 and you get your answer.
Which is SMALLER, -6.3 or -6.1?
2.8 = w - 4.9 w = _____
Answer:
-2.1
Step-by-step explanation:
PLEASE HELP!!!
solve for the unknown: 3^x=9^x+5, 27^4x=9^x+1, 5^x=25^3x+5.
Step-by-step explanation:
[tex]3^x=9^{x+5}\\\\3^x=\left(3^2\right)^{x+5}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\3^x=3^{2(x+5)}\iff x=2(x+5)\qquad|\text{use the distributive property}\\\\x=2x+10\quad|\text{subtract}\ 2x\ \text{from both sides}\\\\-x=10\qquad|\text{change the signs}\\\\\huge\boxed{x=-10}[/tex]
[tex]27^{4x}=9^{x+1}\\\\\left(3^3\right)^{4x}=\left(3^2\right)^{x+1}\\\\3^{(3)(4x)}=3^{2(x+1)}\iff(3)(4x)=2(x+1)\\\\12x=2x+2\qquad|\text{subtract}\ 2x\ \text{from both sides}\\\\10x=2\qquad|\text{divide both sides by 10}\\\\x=\dfrac{2}{10}\\\\\huge\boxed{x=0.2}[/tex]
[tex]5^x=25^{3x+5}\\\\5^x=\left(5^2\right)^{3x+5}\\\\5^x=5^{2(3x+5)}\iff x=2(3x+5)\\\\x=(2)(3x)+(2)(5)\\\\x=6x+10\qquad|\text{subtract}\ 6x\ \text{from both sides}\\\\-5x=10\qquad|\text{divide both sides by (-5)}\\\\\huge\boxed{x=-2}[/tex]
The depth y (in inches) of a lake after x years is represented by the equation y=0.2x+42 . How much does the depth of the lake increase in four years
Answer:
42.8 inStep-by-step explanation:
Step one:
given data
we are told that the expression for the depth of a lake after x years is given by
[tex]y=0.2x+42[/tex]
Required
The value of y when x= 4
Step two:
substitute the value of x in the expression to get y
[tex]y=0.2(4)+42\\\\y=0.8+42\\\\y=42.8\\\\[/tex]
After 4 years the depth will increase by 42.8 in
write the equation in exponential form:
log(2)128=7
Answer: 2^7
Step-by-step explanation: 2 to the power of 7 would be one of the many ways to interact with this equation. This way being the exponential response. (Check your sources before this answer.)
Answer:
2^7 is the crt ans☺️☺️☺️☺️Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown. A graph shows number of math problems on the x-axis, from 0 to 20, and number of science problems on the y-axis, from 0 to 16. A dashed straight line has a negative slope and goes through (4, 12) and (12, 6). Which statement could be true in this situation? Alexia completed 8 math problems and 9 science problems. Alexia completed 4 math problems and 6 science problems. Alexia completed 20 math problems and 10 science problems. Alexia completed no math problems and 15 science problems.
Answer: Alexia completed 20 math problems and 10 science problems.
Answer:
C
Step-by-step explanation:
What is the mid point when I’m rounding to the nearest ten thousand with the number 53,657
Answer:
i think it would be 50,000
Answer:
50000
Step-by-step explanation:
basically the 3657 dont matter because you only want the ten thousand place
Which of the following is true concerning hull fouling from commercial shipping and recreational boating?
a.
It constitutes less than half of all nonnative species introductions.
b.
The revenue brought in from these industries is relatively small.
c.
It is difficult to prevent since ship hulls begin, conduct, and end voyages in water.
d.
It is best combated by chemical treatments.
Answer: C. It is difficult to prevent since ship hulls begin, conduct, and end voyages in water.
Step-by-step explanation:
The option that is true concerning hull fouling from commercial shipping and recreational boating is; C: It is difficult to prevent since ship hulls begin, conduct, and end voyages in water.
What is Hull Fouling?Hull fouling is a phenomenon that arises due to the accumulation of marine growth that leads to reduction in speed of the vessel, increase in the bunker consumption and also the accumulation of more cleaning costs.
Now, this marine growth such as water hyacinths and others are very hard to prevent because the ship lull is not something that can be brought to land before movement as it starts and ends it's journey inside the water.
Thus, the correct option is C.
Read more about Hull Fouling at; https://brainly.com/question/4557804