Answer:
[tex]4^x-5x-14[/tex]
Step-by-step explanation:
[tex]f-g=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14[/tex]
Answer:
The value of [tex](f-g)(x)=4^x-5x-14[/tex]
Step-by-step explanation:
Given : If [tex]f(x) = 4^x-8[/tex] and [tex]g(x)=5x+6[/tex]
To find : The value of [tex](f - g)(x)[/tex]?
Solution :
[tex]f(x) = 4^x-8[/tex]
[tex]g(x)=5x+6[/tex]
We can write, [tex](f-g)(x)=f(x)-g(x)[/tex]
Substitute the value of f(x) and g(x)
[tex](f-g)(x)=4^x-8-(5x+6)[/tex]
[tex](f-g)(x)=4^x-8-5x-6[/tex]
[tex](f-g)(x)=4^x-5x-14[/tex]
Therefore, The value of [tex](f-g)(x)=4^x-5x-14[/tex]
what is the maximum value of 5x+2y in the feasible region
The sum of a number and twenty is greater than four times the number decreased by one
is that the question?
Find the slope of the line that passes through points (9,8) and (4,-2).
You can find the slope of the two points with the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substitute the corresponding values into the equation.
[tex]m=\frac{-2-8}{4-9}[/tex]
[tex]m=\frac{-10}{-5}[/tex]
[tex]m=2[/tex]
The slope of the line is 2.
Find the 15th term in the Arithmetic Sequence An = 3n-7
Question 1 options:
7
38
-2
Find the 10th term in the Arithmetic Sequence -2, -5, -8, -11
Question 2 options:
-10
-29
-21
Looking at the figure below, find the 6th term for this pattern:
Question 3 options:
4x - 3
x + 9
x - 4
Given a term in a geometric sequence and the common ratio find the first five terms and the formula representing the nth term. A1 = 4, r = 5
Question 4 options:
First Five Terms: 4, 9, 13, 18, 23;
an=5*4n−1;a1=4
First Five Terms: 4, 20, 100, 500, 2500;
an=4*5n−1;a1=4
First Five Terms: 20, 25, 30, 35, 40;
an=4*5n−1;a1=4
You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. How far from the cliff will the penny be at 6 seconds after it is initially dropped?
Question 5 options:
128
150
176
After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it be before you are up to jogging 60 minutes per day?
Question 6 options:
n = 9
n = 12
n = 60
The answer to this question is on my profile
Answer:
Hello, I was wondering can someone help me with those questions to? I could really use the help! thank you.
Step-by-step explanation:
AnimeBrainly!
2. Tom's brother saw an advertisement for a special at Muscle Fitness. Muscle Fitness is offering $20 off the one-time regular registration fee of $80. Membership is $15 per month with a mandatory additional $5 charge per month for equipment maintenance. Tom's brother tells Tom that he feels it is a better deal than Platinum Gym.
(a) Write an expression to represent the membership cost of Muscle Fitness for x months.
(b) Is Tom's brother right? Explain why or why not.
2. Tom's brother saw Muscle Fitness, which offers $20 off of the $80 fee. Membership is $15 a month plus another $5 a month.
First, solve the one time fee
$80 - 20 = $60
Next, solve the monthly fee
15 + 5 = 20
(a) The expression: Let x = month
20x + 60
(b) Remember the previous question.
Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month.
(a) Write a expression to represent the membership cost of Platinum Gym for x months.
Let x = months
20x + 60 is your expression
No. In fact, it will be the same. Waiving the $20 off the one-time fee would give the same amount of one-time payment, 60. Membership and Mandatory equipment maintenance would also add up to $20 a month.
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hope this helps
How to solve the equation
Frst do the "()" and
3-2= 1
mulitply 2*1
divide 2/1
3-2
ANSWER 1
Rachel rounded 16,473 to the nearest hundred then she rounded it to the nearest thousand what is the final number
17,000 is the answer
6 is the thousand digit and we always want to round when we do thousands to the nearest hundred and since she rounded it to the nearest hundred first it should look like this 16,500 then rounded to the nearest thousand is 17,000 we always round up when we have a number more then 5 and round down less than 5.
Lori creates the following design for a T-shirt.
Lori found the areas of Triangle 1 and Rectangle 1. Find the areas of the remaining figures.
The area of Rectangle 1 is 8.68 square inches.
The area of Triangle 1 is 6.48 square inches.
The area of Rectangle 2 is ... square inches.
The area of Triangle 2 is ... square inches.
The area of the whole figure is ... square inches.
Solution-
From the figure,
AE = 2.4
EB = 2.8
BC = 11.7
Area of rectangle 1 = 8.68 sq.in
[tex]\Rightarrow FH \times HI=8.68[/tex]
[tex]\Rightarrow EB \times HI=8.68[/tex] (∵ sides of the rectangle 2)
[tex]\Rightarrow 2.8 \times HI=8.68[/tex]
[tex]\Rightarrow HI=3.1[/tex]
Area of Triangle 1 = 6.48 sq.in
[tex]\Rightarrow \frac{1}{2}\times AE \times EG= 6.48[/tex]
[tex]\Rightarrow \frac{1}{2}\times AE \times (EF+FG)= 6.48[/tex]
[tex]\Rightarrow \frac{1}{2}\times AE \times (EF+HI)= 6.48[/tex] (∵ sides of the rectangle 1)
[tex]\Rightarrow EF+3.1= 5.4[/tex]
[tex]\Rightarrow EF=2.3[/tex]
[tex]\Rightarrow BH=2.3[/tex] (∵ sides of the rectangle 2)
[tex]BC = BH+HI+IC[/tex]
[tex]\Rightarrow 11.7= 2.3+3.1+IC[/tex]
[tex]\Rightarrow IC=6.3[/tex]
The area of Rectangle 2,
[tex]=EB\times BH =2.8\times 2.3=6.44\ sq.in[/tex]
The area of Triangle 2,
[tex]\frac{1}{2}\times GI \times IC=\frac{1}{2}\times EB \times IC=\frac{1}{2}\times 2.8 \times 6.3=8.82\ sq.in[/tex]
The area of the whole figure = Area of Triangle 1 + Area of rectangle 1 + Area of Triangle 2 + Area of rectangle 2
= 6.48+8.68+8.82+6.44=30.42 sq.in
A race horse that wins three 3200 meter cup in a time of 200 seconds. what is the race horses Average speed?
Answer:
16 meter per second.
Step-by-step explanation:
A race horse that wins three 3200 meter cup in a time of 200 seconds.
Since in 200 seconds horse can run = 3200 meter
Therefore, in 1 second horse can run = [tex]\frac{3200}{200}[/tex]
= 16 meter/second
1 hour = 3600 seconds
Therefore in 1 hour horse can run = 3600 × 16
= 57,600 meter/hour
The average speed of the horse would be 16 meter per second or 57,600 meter per hour.
A candy store sells mints in 1/4, 1/2 , and 3/4 lb packages. John purchases several packages of each weight.
What is the total weight of each purchase?
Enter a whole number or a mixed number in simplest form to correctly complete the sentence.
6 packages of the 1/4 lb package weigh ___ lb.
8 packages of the 1/2 lb package weigh ___ lb.
7 packages of the 3/4 lb package weigh ___ lb.
For this problem, just multiply the fractions by the amount of packages purchased.
6 * 1/4 = 1 1/2
8 * 1/2 = 4
7 * 3/4 = 5 1/4
An airplane flew at an average rate of 600 miles per hour from Tokyo to Seattle. Because of a strong headwind, the average rate of the return trip was only 480 mph. The round trip took 18 hours. Which equation can be used to determine the time for each leg? 600t = 480t 600t = 18 – t 600t = 480 – t 600t = 480(18 – t)
600t = 480(18 – t) should be it
Answer:
Option D. 600t = 480( 18-t )
Step-by-step explanation:
An airplane flew at an average rate of 600 miles per hour fro Tokyo to Seattle.
Let the airplane travels for t hours so distance covered by the airplane will be = speed × time
= 600t miles
Similarly, average speed in return trip was 480 mile/hour. So distance covered in return trip = speed × time
= 480 ( 18-t ) [ since time taken by plane in round trip was 18. So time taken in return trip will be ( 18-t) ]
Therefore, distance traveled in one trip = distance covered in return trip
600t = 480( 18-t )
Option D is the answer.
send help!!!! Please!! The sum of the measures of the angles from any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 45 degrees larger than each of A and B. What are the measures of the three angles?
Let Angle A = X
Since Angle B is the same, angle B is also X
Then angle C = X +45
Add the 3 angles together: X +X +X +45 = 3x+45
That equals 180 degrees:
3x+45 = 180
Subtract 45 from both sides:
3x = 135
Divide both sides by 3:
X = 135/3
X = 45
Angle A = 45
Angle B = 45
Angle C = 45+45 = 90
Option A: $4 for 16 ounces of turkey Option B: y = 0.22x, where y is the cost and x is the number of ounces of turkey
Answer:
Option (B)
Step-by-step explanation:
because twenty-two cents per ounce is less than twenty-five cents per ounce.
y = 0.22x is better option.
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given are two option, $4 for 16 ounces and y = 0.22x
Option B will be better, because twenty-two cents per ounce is less than twenty-five cents per ounce.
Hence, y = 0.22x is better option.
For more references on equation, click;
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1. Refer to the equation 3x - 2y = -18 Complete the table of values for at least 2 points. Show your work.
Use the table of values to graph the line.
2. Use the equation y = 4x to answer the questions. Graph y = 4x.
What is the slope of y = 4x and what does this mean?
Part 1
For the given equation [tex]3x-2y=-18,[/tex] complete the table:
1) when x=0, then
[tex]3\cdot 0-2y=-18,\\ -2y=-18,\\ y=9;[/tex]
2) when y=0, then
[tex]3x-2\cdot 0=-18,\\ 3x=-18,\\ x=-6;[/tex]
3) when x=2, then
[tex]3\cdot 2-2y=-18,\\ -2y=-24,\\ y=12;[/tex]
4) when x=4, then
[tex]3\cdot 4-2y=-18,\\ -2y=-30,\\ y=15.[/tex]
Therefore, the table is
[tex]\begin{array}{ccccc}x&0&2&4&-6\\y&9&12&15&0\end{array}[/tex]
With these data you can plot the graph of the function (see 1st diagram).
Part 2
The graph of the function y=4x is represented in the second diagram. The slope of the line is m=4.
write 0.000700804 in scientific notation please
Multiply the 0.00070080 by 10, 4 times, making it a 7.008. When you multiply each time by 10 it moves the decimal point to the right one time. To keep the number the same you put x10 to the 4th power next to the 7.008. This makes your answer 7.008x10 to the negative 4th power.
Hope I could help! :)
One minute after takeoff, an airplane’s altitude was 4,000 feet. Three minutes later, it was 20,000 feet. What was the plane’s average altitude change, in feet per minute, during those three minutes?
The average altitude change per minute would be around 5,300 feet per minute.
Helga and Julie are sisters. Helga is six years younger than twice Julie's age. The sum of Helga's age and Julie's age is 36. Write an equation that can be used to find Julie's age, j. HELPPPPPPPPPPPPPPPPPPPPPPP
Julie's age based on the scenario given cab be obtained by using the equation ; j + 2j - 6 = 36
Let :
Julie's age = j ________(1)
Helga's age = 2j - 6 ____(2)
Sum of their ages = 36
Hence, to find Julie's age, j we can use the equation :
(1) + (2) = 36
j + (2j - 6) = 36
j + 2j - 6 = 36
To find Julie's age, we can use the equation ;
j + 2j - 6 = 36
3j - 6 = 36
3j = 36 + 6
3j = 42
j = 42 / 3
j = 14
Hence, Julie's age is 14 years.
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For what values of x is the quantity x-7
positive = greater than 0.
Therefore we have the inequality:
[tex]x-7 > 0[/tex] |add 7 to both sides
[tex]x > 7[/tex]
write an expression you can use to convert 2.5 gallons to quarts
To convert 2.5 gallons to quarts, multiply by 4 (quarts/gallon).
Explanation:To convert 2.5 gallons to quarts, you can use the fact that there are 4 quarts in 1 gallon. So, multiplying 2.5 gallons by 4 quarts per gallon gives you the answer:
2.5 gallons * 4 quarts/gallon = 10 quarts
Learn more about Conversion of units here:https://brainly.com/question/19420601
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the morning shift at the point grocery store is 6.5 hours long if the cashiers make 10.25 per hour how much do they make each shift
Answer:66.63 is the answer
Step-by-step explanation:
A rectangle has a width of 7.9ft and a perimeter of 27.2 Ft enter the length of the rectangle, in decimal form in the box
Answer:
The length is 5.7 feet.
Step-by-step explanation:
A rectangle has a width of 7.9 feet and a perimeter of 27.2 feet.
Let the length be = x
Perimeter is given by :
[tex]P=2(L+W)[/tex]
We get;
[tex]27.2=2(x+7.9)[/tex]
=> [tex]27.2=2x+15.8[/tex]
=> [tex]2x=11.4[/tex]
Dividing both sides by 2 to get x;
x = 5.7 feet
Hence, length is 5.7 feet.
Identify which values are solutions of 3x −4 ≥ 5.
20 POINTS
HELP ASAP
PLEASE
ONE PROBLEM
DONT ANSWER UNLESS YOUR SURE PLZ
AND THANK YOU
Solve. Note the equal sign. What you do to one side, you do to the other. Remember to follow PEMDAS.
First, distribute 5 to all terms within the parenthesis
5(w - 1) = (5)(w) + (5)(-1) = 5w - 5
Next, simplify. Combine like terms
5w - 5 - 2 = 5w + 7
5w - 7 = 5w + 7
Next, isolate the variable. Add 7 to both sides, and subtract 5w from both sides
5w (-5w) - 7 (+7) = 5w (-5w) + 7 (+7)
5w - 5w = 7 + 7
0 = 14 (Untrue).
0 solutions, or (A) is your answer
~Rise Above the Ordinary
Evan has 3/7 of a snickers bar. Christopher has 2/8 of a snickers bar. What fraction of a snickers bar do they have altogether?
the awnser is 38/56 you first find a number that 8 and 7 both go into witch is 56 then you add 24/56 and 14/56 witch becomes 38/56 and simplyfies to 19/28
Find common denominators:
[tex]\frac{3}{7}[/tex] = [tex]\frac{24}{56}[/tex] [tex]\frac{2}{8}[/tex] = [tex]\frac{14}{56}[/tex]
Add:
[tex]\frac{38}{56}[/tex]
Simplify:
[tex]\frac{19}{28}[/tex]
What is the equation for a line that passes through the points (-5,-4) and (10,23)?
So you use the point slope stuff.
y-y=m(x-x)
To find the slope, subtract two y values over two x values that are also sibtracted in the same order.
IN this case, you could do (-4 - 23)/-5 - 10
Which is 9/5
So now you plug in the x and y values (doesnt matter which point)
y+4=9/5(x+5)
Make it slope intercept form
y=9/5x-13
Can someone help me with this
I think the answer is D, because P is the new price, n is the original price, then you multiply 0.25 by the original price and then subtract it by the original price.
use area model to explain the product of 5.8 and 6. use standard form word form and expanded form
How to solve this equation 4(z + 5)=32
Answer:
Z=3
Step-by-step explanation:
divide both sides of the equation by 4
subtract 5 from both sides of the equation
4*(z + 5) = 32
4z + 20 = 32
4z = 32 - 20
4z = 12
z = 12 : 4
z = 3
Joe says that the product of a 4 digit number and a 1 digit number is always a 4 digit number does Joe's statement makes sense?
No, what Joe said isn't necessarily true. Though it is common that the product will be a 4 digit number, because you can use any number, like a large 4 digit number like 9999 or a large 1 digit number like 9, that isn't true. For instance: "9999 x 9" is 89991 which is 5 digits instead of 4 because "9999" is the biggest 4 digit number and "9" is the biggest "1" digit number.
What is |6|-7?
What is |6-7|?
Please answer quickly!
its is -1. Even though the 6 is an absolute value. |6| is just 6-7