Answers
Answer: OPTION B
Step-by-step explanation:
You can observe that the exercise provides you two Linear functions.
The first Linear function is the function f(x). This is:
[tex]f(x) = 2x+1[/tex]
And the other Linear function is the function g(x):
[tex]g(x) = x+14[/tex]
In order to find [tex](gof)(x)[/tex], you need to follow these steps shown below:
Step 1:
You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:
[tex](gof)(x) = (2x+1)+14[/tex]
Step 2:
Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that [tex](gof)(x)[/tex] is:
[tex](gof)(x) = 2x+1+14\\\\(gof)(x) = 2x+15[/tex]
Related Questions
Which best describes the following equation of 3 (5x + 8) =4 (6x + 9)
Answers
Answer:
x = -4/3
Step-by-step explanation:
Step 1: Distribute
3(5x + 8) = 4(6x + 9)
15x + 24 = 24x + 36
Step 2: Subtract 15x from both sides
15x + 24 - 15x = 24x + 36 - 15x
24 = 9x + 36
Step 3: Subtract 36 from both sides
24 - 36 = 9x + 36 - 36
-12 = 9x
Step 4: Divide both sides by 9
-12 / 9 = 9x / 9
-4/3 = x
Answer: x = -4/3
y< 1/4x and y< -6x+6 are graphed on the coordinate plane
Answers
Answer:
See attachment
Step-by-step explanation:
To graph
[tex]y \: < \: \frac{1}{4} x[/tex]
You first graph the boundary line
[tex]y = \frac{1}{4} x[/tex]
This is a dashed line going through the origin with slope 1/4.
We test the point (0,1) to get: 1<0 which is false. So we shade the lower half-plane.
To graph
[tex]y \: < \: - 6x + 6[/tex]
We first graph line
[tex]y = - 6x + 6[/tex]
By plotting (0,6), and (1,0)
We draw a dashed boundary line.
We test the origin:
0<6 which is true so we shade the left half-plane .
The intersection of both shaded regions represent the solution set.
The graph us shown in attachment.
Find the value of x. The angle measures of a right triangle are
30°
2x°
3x°
Answers
Answer:
30
Step-by-step explanation:
Exterior angle equals sum of opposite interior angles
3x = 2x + 30
3x - 2x = 30
x = 30
Answer:
x=30
Step-by-step explanation:
all interior angles in a triangle must equal 180 degrees
2x+30+90=180
2x+120=180
2x=60
x=30
you can check by substituting 30:
2(30)+30+90
60+30+90=180
another way to do this:
3x is an exterior angle
however it is a supplementary one as well
that means tht
3x+90=180
3x=90
x=30
you get the same answer either way
HOPE THIS HELPS!
Joey has 8 pairs of socks in his drawer. Five of them are white. What percent of colored socks does Joey have.
Answers
explanation: if the rest of the socks are colored, then 3/8 of them are colored. 3/8 is 37.5%
what is the value for x
someone please help :)
Answers
Yo sup??
in the given figure
9y-3=69
9y=72
y=8
now by angle sum property
9y-3+69+5x+2=180
5x=40
x=8
Hope this helps
Answer: [tex]x=8[/tex]
Step-by-step explanation:
So seeing the equation
[tex](9y -3)[/tex] [tex]y=8[/tex] [tex](9(8)-3) =69[/tex]
therefore, 69 +69 =138
and then that only means the secound equation has to equal 42 because all angles has to equal to 180 degrees, therefore:...
[tex](5x +2)=x=8[/tex] [tex](5(8)+2)=42[/tex]
Hope this helps please give brainliest!
a)The equation of a line β is 2x-3y=6
find the gradient of β
b) find the equation of the line which is parallel to β and passes through the point (6,9)
Answers
Answer:
a) 2/3
b)[tex]y = \frac{2}{3} x + 5[/tex]
Step-by-step explanation:
b) From my previous answer...
Since parallel lines have the same gradient,
the gradient of the line is 2/3 too.
Thus, m= 2/3.
y= 2/3x +c
Now substitute a coordinate into the equation to find c, the y-intercept.
When x=6, y=9,
9= (2/3)(6) +c
9= 4 +c
c= 9 -4
c= 5
Thus the equation of the line is y= 2/3x +5.
BRAINLIEST PLUS POINTS
over the complete assessment period, Jenny averaged 35 out of a possible 40 marks for her eight math tests. When she was checking her files, she could find only seven of the test. For these she scored 29, 36, 32, 38, 35, 34 and 39. How many marks did she score for the eighth test?
Show full working out ty
Answers
bc (37+29+26+32+38+35+34+39)/8 = 35
Answer: 37
Step-by-step explanation:
Let X represents the score for the eighth test
Hence ( 29+36+32+38+35+34+39+X ) ÷8 =35
243+X /8 =35
243+X =35×8
243+X=280
X = 280-243
X= 37
The time taken for a journey on a motorway varies inversely as
the average speed for the journey. The journey takes 1.5 h
when the average speed is 54 miles per hour. Identify the time
taken in hours for this journey when the average speed is 45
miles per hour.
Answers
Time that will be taken at speed of 45 miles/hr is 1.8 hrs
Step-by-step explanation:
Step 1: Given the speed of the journey = 54 miles/hr and time = 1.5 hours. Find the distance of the journey using the speed formula.Distance = Speed × Time
= 54 × 1.5 = 81 miles
Step 2: Calculate the time taken for this journey given speed = 45 miles/hrTIme = Distance/Speed
= 81/45 = 1.8 hrs
Please I need help. You need 5 to answer 6. Thank you!
With ❤️
-Cplayz
Answers
Answer:
Question 5.
89.10
Question 6.
Yes, Lucy will have enough money.
Step-by-step explanation:
Question 5.
3*4*9=108
108/2=54
54*1.65=89.10
Question 6.
26*5=130
They will make $130 from fundraising. $89.10 are needed to purchase the soil. 130>89.1
Oscar bought several bags of lemon drop candy and several bags of jelly beans. The number of bagsof beans was 5 more than the number of bags of lemon drops. Jelly bean bags weigh 8 ounces, and drop bags weigh 16 ounces each. The total weight of all the bags of candy was 400 ounces.
A. Write and solve a system of equations that allows you to solve for how many bags of each candy Oscar bought Show all of your
Answers
Answer:
A system of equations that allows you to solve for how many bags of each candy Oscar bought is [tex]16x+8(x+5)=400[/tex] and The number of bags of lemon drops and number of bags of beans are 15 and 20 respectively
Step-by-step explanation:
Let x be the number of bags of lemon drops
We are given that The number of bags of beans was 5 more than the number of bags of lemon drops
So, The number of bags of beans =x+5
Jelly bean bags weigh 8 ounces, and drop bags weigh 16 ounces each.
So, Weight of x bags of lemon drops = 16x
So, Weight of (x+5) bags of lemon drops = 8(x+5)
The total weight of all the bags of candy was 400 ounces.
So, [tex]16x+8(x+5)=400[/tex]
[tex]16x+8x+40=400[/tex]
[tex]24x+40=400[/tex]
[tex]24x=360[/tex]
[tex]x=\frac{360}{24}[/tex]
x= 15
The number of bags of lemon drops are 15
The number of bags of beans =x+5 =15+5=20
Hence a system of equations that allows you to solve for how many bags of each candy Oscar bought is [tex]16x+8(x+5)=400[/tex] and The number of bags of lemon drops and number of bags of beans are 15 and 20 respectively
When finding the area of a circle if you are given the diameter how will you solve to find the radius
Answers
Which of the following is 47 to the
nearest tenth?
OA) 6.9
OB) 8
OC) 68.5
OD 9.2
Answers
OC) 68.5
HOPE THIS HELPS!
78% Verified!
- AnswerKey74
Its C if you are estimating. But there is no other exact answer.
Suppose the company surveys only people living in large cities, such as New York and Los Angeles. If the company makes
a generalization from this survey, how will the generalization be biased?
Answers
Answer:
The generalization will be biased because people living in cities that are not as big as New York, Los Angeles and rural areas of the country were excluded from the possibility of being included in the sample.
Step-by-step explanation:
The sample is therefore not a true representation of the population.
Final answer:
The generalization would be biased because it only includes opinions from large cities, which aren't representative of the entire population, leading to sampling bias. This results in a biased sample as it overlooks the diversity in lifestyles and circumstances found in different geographic areas.
Explanation:
If a company conducts a survey among people who only live in large cities like New York and Los Angeles, and then makes a generalization from this survey, the generalization will be biased. This is because the perspectives of people living in large cities are not necessarily representative of the entire population, which includes people from smaller towns, rural areas, and different socioeconomic backgrounds. Such a sampling method leads to a sampling bias, since it does not adequately reflect the diversity of the whole population.
For instance, urban populations may have different lifestyles, access to services, and daily challenges compared to those living in suburban or rural areas. Therefore, if a survey's findings from a city population are applied to the general population, it may result in an inaccurate picture of the opinions, behaviors, or characteristics of the entire population. This exemplifies a biased sample, as the sampling method does not capture the full range of variables affecting the population as a whole.
James drove 6 miles
south and then 3 miles
west. How far is he
from his starting point?
Answers
Answer:
9
Step-by-step explanation:
because 3+6=9 so he is 9 miles from his starting point
Suppose a city with population 200,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 18 years
Answers
Answer:
In 18 years time, the population of the city is approximately 705,084
Step-by-step explanation:
From the given information, the initial population is
[tex]P_0=200000[/tex]
The growth rate is 7% or r=0.07.
For a population with a continuous growth rate, the equation is that models it is:
[tex]P(t)=P_0 {(e)}^{rt} [/tex]
[tex]P(t)=200000 {(e)}^{0.07t} [/tex]
To find the find the population after 18 years, we substitute t=18 into:
[tex]P(18) = 200000{(e)}^{18\times 0.07} [/tex]
[tex]P(18)=705084.3[/tex]
Solve the equation
5* = 125
Answers
Answer:
x=3
Step-by-step explanation:
[tex]5^{x} = 125\\5^{x} = 5^{3} \\x=3[/tex]
Answer: 5 raised to power of 3
Step-by-step explanation:
5×5×5=125
What’s 5x divided by 6=20
Answers
Answer:
24
Step-by-step explanation:
5x/6=20
Multiple 20 by 6 then you get 120.
Then divide 120 by 5 which is 24.
Answer:
x = 24
Step-by-step explanation:
Simplify both sides of the equation, then isolate the variable.
Lee is sending out 32 birthday invites she gives 5 to family and a third of the rest how many invites has already mailed
Answers
Answer:
9
Step-by-step explanation:
32
-5
----
27
÷3
----
9
Hope it helped
There are 9 invitations mail that has already been mailed.
What is the fraction?A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.
Lee is sending out 32 birthday invites she gives 5 to family and a third of the rest,
The number of invitations Leah has already mailed is given by;
Number of invitations mailed = 1/3 x (total invitation - invitation mom delivered)
Number of invitations mailed =1/3 x (32 - 5)
Number of invitations mailed =1/3 x (27)
Number of invitations mailed = 9
Hence, there are 9 invitations mail that has already been mailed.
Learn more about fractions here;
https://brainly.com/question/22688206
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how to subtract and add polynomials
Answers
Answer:
To subtract, first reverse the sign of each term we are subtracting (in other words turn "+" into "-", and "-" into "+"), then add as usual.
To add here is an example not sure if entirely right but here it is.
Start with:2x2 + 6x + 5 + 3x2 − 2x − 1.
Place like terms together:2x2+3x2 + 6x−2x + 5−1.
Which is:(2+3)x2 + (6−2)x + (5−1)
Add the like terms:5x2 + 4x + 4
Final answer:
To add or subtract polynomials, align like terms, add or subtract their coefficients accordingly, and ensure to distribute the negative sign across a polynomial when subtracting. Treat polynomial addition and subtraction like usual arithmetic, applying rules for positive, negative, and opposite signs.
Explanation:
Adding and subtracting polynomials is a straightforward process that involves combining like terms. Here is a step-by-step guide:
When adding polynomials, align terms with the same variable and exponent (like terms) vertically.
Next, add or subtract the coefficients of these like terms while keeping the variable part the same.
When you encounter subtraction, it's helpful to distribute the negative sign across the polynomial that is being subtracted, effectively changing the sign of each term in that polynomial.
After changing signs where necessary, proceed with addition as described above.
Remember that addition and subtraction of polynomials adhere to the usual arithmetic rules:
Adding two positive numbers gives a result with a positive sign.
Adding two negative numbers yields a result with a negative sign.
When adding numbers with opposite signs, subtract the smaller absolute value from the larger one, and the result takes the sign of the larger number.
For subtraction, change the sign of the subtracted number and then add as outlined.
Similar methods apply to vector addition and subtraction, scalar operations, and polynomial graphing. Keep these principles in mind while working through your math problems.
6. Margit works in a factory. She receives a salary of $15 per hour and piecework pay of 17 cents per
unit produced. Last week she worked 38 hours and produced 755 units.
a) What was her piecework pay?
Answers
Answer:
755*17 cents=12835 cents= 128.35$
Step-by-step explanation:
Margit's piecework pay is calculated by multiplying the number of units she produced (755 units) by the pay she receives per unit (17 cents). Therefore, her piecework pay was $128.35 for last week.
Explanation:To find out Margit's piecework pay, we need to multiply the number of units she produced by the pay she receives per unit. In this case, Margit produced 755 units and she earns 17 cents per unit. So, her piecework pay is calculated as follows: 755 units * $0.17/unit.
Therefore, Margit's piecework pay for last week was $128.35.
Learn more about Piecework Pay here:https://brainly.com/question/36494256
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Zoe visits a departmental store to pick a can of salted mixed nuts. A 15.25 oz can of
mixed nuts is priced at $7.93 and the offer on a 25 oz can is $11.75. Assist Zoe pick up
the better deal.
Answers
Answer:15.25oz can
Step-by-step explanation:
Maria brought 17 packs of cola to a party , and each pack had 6 cans . Heather brought 9 cans of juice . How many cans did they bring in all ?
Answers
Answer:
Step-by-step explanation:
Maria:
No. of cans in a pack = 6
No.of cans in 17 pack = 6 * 17 = 102 cans
No. of cans bought by Heather = 9 cans
Total cans = 102 + 9 = 111 cans
please helppp meee I am struggling
Answers
Answer:
the number of cookies ordered
Step-by-step explanation:
When an equation is written in the form ...
(left variable) = (some expression involving one or more right variables)
we usually describe the "left variable" as the "dependent variable" and the "one or more right variables" as the "independent variable(s)".
Here, the equation is given as ...
C = 3s + 30
__
This tells you C is the dependent variable, and s is the independent variable. The description also says "C is the number of cookies." Since you know that the dependent variable is the number of cookies, you can answer the question ...
the dependent quantity is the number of cookies ordered. (matches the first choice)
A satellite views the earth at an angle of 20°. What is the arc measure, x, that the satellite can see?
Answers
Answer:
The measure of the arc is 160 degrees
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The measure of the external angle is the semi-difference of the arches it covers.
so
[tex]20^o=\frac{1}{2}[(360-x)^o-x^o][/tex]
solve for x
[tex]40^o=360^o-2x[/tex]
[tex]2x=360^o-40^o\\2x=320^o\\x=160^o[/tex]
The arc measure that the satellite can see is 20°.
Explanation:An arc measure is the central angle that corresponds to a given arc on a circle. In this case, the satellite views the earth at an angle of 20°. The arc measure that the satellite can see is also 20°.
Learn more about Arc measure of a satellite here:https://brainly.com/question/33802037
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write the repeating decimal as a mixed number; 4.1111...
Answers
Answer:
Step-by-step explanation:
Find the approximate volume of the cylinder shown in the diagram.
Answers
Answer: D
Step-by-step explanation:
trust me
The approximate volume of the cylinder shown is [tex]3017 cm^3[/tex] and the correct answer is option A.
Let's find the approximate volume of the cylinder shown in the diagram through the following Step-by-step process.
Identify the formula for the volume of a cylinder:The volume of a cylinder can be calculated using the formula [tex]V=\pi r^2h[/tex], where r is the radius of the base and h is the height of the cylinder.
Measure the radius and height from the diagram:From the diagram, estimate that the radius is [tex]r=\frac{17}{2} cm[/tex] (since the diameter is 17 cm) and the height is [tex]h=19 cm[/tex].
Substitute the values into the formula:[tex]V=\pi\times r^2h\\\\=\pi\frac{17}{2} ^2\times19\\\\\approx \frac{5491}{4} \pi[/tex]
Round the answer to the nearest integer:[tex]V=3017 cm^3[/tex] (rounded to the nearest integer).
Thus the approximate volume of the cylinder is [tex]3017 cm^3[/tex] corresponding to option A
Note: Since we used an approximation for the radius, the final answer is also an approximation.
Charlene is 8 years older than Aaron. The sum of their ages is 44. What are
their ages?
Answers
Answer: charlene:52, aaron:44
Step-by-step explanation:
Add 8 to aarons age and you find your answer
Answer:
Aaron is 18 years old
Charlene is 26 years old
Step-by-step explanation:
Aaron = A
Charlene = 8 + A
Aaron + Charlene = 44
Substitute
A + 8 + A = 44
Simplify
2A + 8 = 44
Subtract 8 from both sides of the equation
2A = 36
Divide by 2
A = 18
C = 26
Hope this was useful to you!
How can I solve 8 5/6 - 2 1/3=
Answers
Then you take 53/6 and 7/3 and find a common denominator which is 6
Then you multiply 7x2 and 3x2 which equals to 14/6
53/6 - 14/6 is 39/6
You can leave it as 39/6 or change it into a mixed number, if you make it a mixed number then you would get 6 3/6 which is equivalent to 6 1/2.
For this method you need to make sure that both the denominators are the same.
(See attached image)
I hope this makes sense!
As a summary; you must make sure that both denominators of the fractions are the same. Whatever number you multiply by for the denominator, use also for the numerator.
The face of a triangular-shaped guitar has an area of 52 square inches and a height of 13 inches. Write an equation to find the length of the base. Then find the length of the base of the guitar’s face.
Answers
Answer:
8 inches
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 b*h
The area is 52 and the height is 13
52 = 1/2 b*13
52 = 13/2 b
Multiply each side by 2/13 to isolate b
52*2/13 = 2/13*13/2 b
8 = b
The length of the base is 8 inches
pookie weighs 12 7/8 pounds. Rascal weighs 13 3/8 pounds. what is totals weight of both cats
Answers
Answer:
26.25
Step-by-step explanation: