Answers
Given the function (2x^2+4x) and (x^2+8), we are to find the sum of both functions. This is as shown below;
(2x^2+4x) + (x^2+8) [sum means addition]
Next is to collect the like terms based on the power
= (2x^2+x^2)+4x +8
Evaluate the expression in parenthesis
= 3x^2 + 4x + 8
Hence the sum of (2x2 + 4x) and (x2 + 8) is 3x^2 + 4x + 8
You will have to fil the blanks with the corresponding coefficient of x^2 and x and the constant.
The first blank will be 3 (coefficient of x^2)
The second blank will be 4 (coefficient of x)
The third blank will be 8 (the constant value)Y
Related Questions
Consider the following word problem:Eleanor is working her way through school. She works two part-time jobs for a total of 22 hours a week. Job A pays $6.40 per hour, and Job B pays $6.60 per hour.How many hours did she work at each job the week that she made $143.60.Step 1 of 2: Use the variables x and y to set up two equations to solve the given problem.
Answers
Let
x ------> number of hours Job A
y -----> number of hours Job B
we have that
x+y=22 ------> x=22-y ------> equation 1
6.40x+6.60y=143.60 ------> equation 2
Solve the system of equations
substitute equation 1 in equation 2
6.40(22-y)+6.60y=143.60
solve for y
140.8-6.40y+6.60y=143.60
0.20y=143.60-140.8
0.20y=2.8
y=14 hours
so
x=22-14=8
therefore
number of hours Job A was 8andnumber of hours Job B was 14Drag each shape to the correct location on the table. Each shape can be used more than once, but not all shapes will be used.
Consider the given square pyramid.
Answers
Vertical cross-section ⇒
Isosceles triangle, figure 5Horizontal cross-section ⇒
Square, figure 4Vertical cross-section through base and two lateral faces ⇒
Isosceles trapezoid, figure 1
Answer:
In the image
Hope this helps!
Step-by-step explanation:
Solve the absolute value equation. 20x - 19 = 0
Answers
To solve this absolute value equation, we can use find the solutions as follows taking into account the definition of absolute value, then, we have:
[tex]|20x-19|=0\Rightarrow20x-19=0,or-(20x-19)=0[/tex]Now, we can solve both equations to find the solution(s):
First case:
[tex]20x-19=0\Rightarrow20x=19\Rightarrow x=\frac{19}{20}[/tex]Second case:
[tex]-(20x-19)=0\Rightarrow-20x+19=0\Rightarrow-20x=-19\Rightarrow x=-\frac{19}{-20}\Rightarrow x=\frac{19}{20}[/tex]Then, both solutions are the same, because of the absolute rule (this is the point when y = 0, that is the x-intercept for this function.)
Therefore, the solution set is {19/20}.
original price of shoes is $104.95 a discount of 30% tax 2%
Answers
Solving for the price of a $104.95 pair of shoes with 30% discount, after 2% taxes
First, we have to calculate the 70% of the original value (30% discount). Then, we calculate the 2% of that value (70% of $104.95) and add it up, as following:
[tex]\begin{gathered} 104.95\times\frac{70}{10}=73.47 \\ 73.47\times\frac{2}{100}=1.47 \\ 73.47+1.47=74.94 \end{gathered}[/tex]Thus, the retail price of the shoes, with 30% discount and after 2% taxes, would be 74.94
1. (4x3.5x2 + 3) + (2x3 - 5x²)
Answers
Then
4x3.5x2 = 28
28 + 3 = 31
31 + 2x3= 37
and so answer is
=37 - 5x^2
What is the domain of the function shown below? f(x) = log, (x-3) O A. All real numbers greater than 0 O B. All real numbers O c. All real numbers greater than 3 D. All real numbers greater than or equal to -2
Answers
Given the function:
[tex]f(x)=\log _5(x-3)[/tex]the domain of the function is all the possible values of x that can be substituted into the function f(x)
for the log functions:
x - 3 > 0
x > 3
So, the domain of the function is all real numbers greater than 3
so, the answer will be option C
A cubical tank with sides 6 feet is to be painted. It costs $2 per square feet to paint. Find the total cost to paint all the six sides.
Answers
We have that the surface area of a cube is given by
[tex]SA=6s^2[/tex]where s is the measure of the side
s= 6 ft
[tex]SA=6\cdot6^2=6\cdot36=216ft^2[/tex]If the square feet cost $2 the total cost will be
[tex]TC=216\cdot2=432[/tex]the total cost is $432
Paul is driving his car. At the end of two hours he has driven 68 miles, then at the end of 4 hours he has driven 132 miles. What is his average rate of change?_(blank)_miles per hourType your numerical answer below.
Answers
This problem describes two points in a route of 4 hours. He went through 68 miles after the first two hours, and 132 miles after 4 hours of driving. We need to calculate the average rate of change.
The average rate of change is the division between the total distance and the time it took to travel that distance, so we have:
[tex]r=\frac{132}{4}=33\text{ miles per hour}[/tex]The average rate of change is equal to 33 miles per hour.
The one-to-one functions g and h are defined as follows.g(x) = 4x - 3h={(-6, 3), (-4, 7), (3, -8), (6, 4)Find the following
Answers
It is given that
[tex]g(x)=4x-3[/tex]Now to find the inverse of g
Let
[tex]\begin{gathered} y=4x-3 \\ 4x=y+3 \\ x=\frac{y+3}{4} \end{gathered}[/tex]So
[tex]g^{-1}(x)=\frac{x+3}{4}[/tex]Now we know that
[tex](g^{-1}.g)(x)=\text{ x}[/tex]So
[tex](g^{-1}.g)(2)=2[/tex]And since
[tex]h(-6)=3[/tex]So
[tex]h^{-1}(3)=-6[/tex]round to the nearest whole number. 65.73
Answers
66
1) To round it off to the nearest whole number, let's consider that:
65.73 is > 65.5 then we can round it up
2) Hence, 65.73 after rounding it up is 66 and that's the answer.
Make the following conversions. Round your answers to 2 decimal places, if necessary.7 feet 6 inches toa. Inches: in.b. Feet: ft
Answers
So we need to express 7 ft 6 in in inches and in feet. For this purpose is important to remember this relation:
[tex]1ft=12in[/tex]So in a we need to express 7ft 6in in inches. This means we must convert the 7ft into inches and then add the result to 6in. If we use the rule of thre we get:
[tex]\begin{gathered} 1ft\rightarrow12in \\ 7ft\rightarrow x \\ \text{Where }x=\frac{7ft\cdot12in}{1ft}=84in \end{gathered}[/tex]Then we get:
[tex]7ft+6in=84in+6in=90in[/tex]So the answer to part a is 90in.
For part b we can take the result of part a and convert it into feet. Using the rule of three again we get:
[tex]\begin{gathered} 12in\rightarrow1ft \\ 90in\rightarrow x \\ \text{Where }x=\frac{90in\cdot1ft}{12in}=7.5ft \end{gathered}[/tex]Then the answer to part b is 7.5ft.
6(x-1)=3x+6+3x what is the solution?Many solution No solution or One solution
Answers
To solve this equation, we can follow the next steps:
First: we can sum similar terms like 3x + 3x.
6(x - 1) = 3x + 3x + 6
6(x - 1) = 6x + 6
Then, solve 6(x-1) using the distributive property:
6x - 6 = 6x + 6
Subtract 6x from both sides of the equation:
6x - 6x - 6 = 6x - 6x + 6
0 - 6 = 6
-6 = 6
Since the result is not congruent, we can say that this equation has no solution.
Find the equation of the line that passes through the points (2,13) & (-1,-2)
Answers
The two endpoints of a line are given, and to find the equation we need to express it in the slope-intercept form written as follows;
y = mx + b, where m is the slope and b is the intercept of y.
To calculate the slope, we use the formular;
[tex]undefined[/tex]Simplify: (2a-4)+2(a-5)-3(a+1)
Answers
Answer:
a-17 is the answer for this question
Write an equation in general form of the circle with the given properties. Ends of diameter at (5,7) and (-5,-7) ?
Answers
Write an equation in general form of the circle with the given properties.
Ends of diameter at (5,7) and (-5,-7)
we have that
the equation of the circle is
(x-h)^2+(y-k)^2=r^2
where (h,k) is the center and r is the radius
step 1
Find the center
Remember that
The center of the circle is the midpoint of diameter
so
[tex]\begin{gathered} (h,k)=(\frac{5-5}{2},\frac{7-7}{2}) \\ (h,k)=(0,0) \end{gathered}[/tex]the center is the origin
step 2
Find the radius
Find the diameter
calculate the distance between two points
[tex]\begin{gathered} d=\sqrt[\square]{(-7-7)^2+(-5-5)^2} \\ d=\sqrt[\square]{(-14)^2+(-10)^2} \\ d=\sqrt[\square]{296} \end{gathered}[/tex]simplify
[tex]D=\sqrt[\square]{296}=2\sqrt[\square]{74}[/tex]the radius is half the diameter
so
r=2√74/2=√74
step 3
the equation iof the circle is
x^2+y^2=(√74)^2
x^2+y^2=74Which of the percentage of the female population is made up by the age of group 5- 9?
Answers
Given,
The data of the male and female for different age group is shown in question tab.
Required:
The percentage of the female population is made up by the age of group 5- 9.
From the given data,
It is clearly seen that the percentage of female for 5 - 9 age group is 11%.
Hence, the percentage is 11%.
what is 14% of $3.40
Answers
In order to calculate the 14% of $3.40, you only calculate the multiplication of 14/100 and 3.40, just as follow:
14/100 x 3.40 = 0.14 x 3.40 = 0.476
Hence, the 14% of $3.40 is $0.476
The previous calculation can be summarized as follow:
- Divide the percentage between 100
14/100 = 0.14
- The previous result is multiplied by the quantity about you want to know what is the given percentage
0.14 x 3.40
when I combine things to make zero it means l am adding zero
Answers
The combine things to make zero means we are combining same thing but off oppoite polarity or sign or direction.
The addition of zero to anything does not make anything to zero, it results in same quantity. So it is a false statement, as addition of zero does not chage anything, it results in original amount.
a sign says that the price marked on all mysic equipment is 30% off the original price. You buy an electric guitar for the sale price of $315. b. How much money did you save off the original price of the guitar?
Answers
30% off the prices means that the there is a discount of 30% on the original price.
If 30% discount is given, then it means that the new cost price will be = 100% -30% the original price
=> 70% the original price
Since the Electric Guitar was sold at $315
Then it means that 70% the original price = $315
Let the original price be P
then 70% of P = $315
[tex]\begin{gathered} 70percent=\frac{70}{100}\text{ = 0.7} \\ \end{gathered}[/tex]70% of P = 0.7 x P = 0.7P
Question A.
We can then obtain P, the original price by equatin to $315
=> 0.7P = $315
To get P, divide both sides by the coefficient of P
[tex]\frac{0.7p}{0.7}=\frac{315}{0.7}[/tex]P = $450
Orignal Price of Guitar = $450
Question B
Amount saved = Original Price - Selling Price
Amount saved = $450 -$315
=> Amount saved = $135
help i can’t understand this work and i need the answer
Answers
[tex]x^{\frac{3}{2}} y^{\frac{19}{2}}[/tex]is equivalent expression of [tex]\sqrt{xy^{3} }(x^{\frac{1}{2}}y^{4} )^{2}[/tex]
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is
[tex]\sqrt{xy^{3} }(x^{\frac{1}{2}}y^{4} )^{2}[/tex]
The power of whole term is multiplied with power of each term
[tex]x^{\frac{1}{2}} y^{\frac{3}{2}} xy^{8}[/tex]
When variables are same the powers will be added
[tex]x^{\frac{3}{2}} y^{\frac{19}{2}}[/tex]
Hence, [tex]x^{\frac{3}{2}} y^{\frac{19}{2}}[/tex]is equivalent expression of [tex]\sqrt{xy^{3} }(x^{\frac{1}{2}}y^{4} )^{2}[/tex]
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ1
According to one study, an average payout for slots machines is 84 cents on each dollar. What is the percent return on every dollar spent in playing slots?The percent return on every dollakspent in playing slots is %.
Answers
Given that the average payout for slots machines is 84 cents on each dollar.
We know that
[tex]100\text{ cents = 1 dollar}[/tex]The cost of return for every dollar spent is 100-84=16 cents.
The percent return on every dollar spent in playing slots is
[tex]=\frac{16}{\text{one dollar}}\times100=\frac{16}{100}\times100=16\text{ \%.}[/tex]The percent return on every dollar spent in playing slots is 16%.
marks LXL Search topics and skills Q Q Welcome, Learning Diagnostic Analytics Recommendations Skill plans 4 Math Language arts of Science Social studies GA Stan Eighth grade > T.11 Volume of cones YYR The volume of this cone is 2,110.08 cubic centimeters. What is the radius of this cone? Use a 3.14 and round your answer to the nearest hundredth. 14 cm centimeters Submit
Answers
EXPLANATION
The radius of a cone is given by the following relationship:
[tex]\text{Volume}=\frac{1}{3}\cdot\pi\cdot r^2\cdot h[/tex]We have Volume=V= 2,110.08 cm^3 and the height is h=14cm
Replacing terms:
[tex]2,110.08=\frac{1}{3}\cdot\pi\cdot r^2\cdot14[/tex]Multiplying both sides by 3:
[tex]2,110.08\cdot3=\pi\cdot r^2\cdot14[/tex]Dividing both sides by 14*pi:
[tex]\frac{2,110.08\cdot3}{14\cdot\pi}=r^2[/tex]Applying the square root to both sides:
[tex]\sqrt[]{\frac{2,110.08\cdot3}{14\cdot\pi}}=r[/tex]Switching sides:
[tex]r=\sqrt[]{\frac{2,110.08\cdot3}{14\cdot3.14}}[/tex]Simplifying:
[tex]r=\sqrt[]{144}[/tex]Simplifying:
[tex]r=12[/tex]The answer is r=12 centimeters
Question 8 of 10
If the Federal Reserve decreases the reserve rate from 10% to 8%, how does
this affect the amount of
money that would result because of fractional-
reserve banking from an initial deposit into a bank of $40,000?
C A. It increases the amount by $100,000.
•
B. It decreases the amount by $400,000.
•
C. It increases the amount by $400,000.
• D. It decreases the amount by $100,000.
Answers
The amount of money that would result because of fractional reserve banking from an initial deposit of $40,000 into a bank will increase by $100,000.
The initial reserve rate of the Federal Reserve was 10%. The final reserve rate of the Federal Reserve is 8%. Hence, the reserve rate decreased from 10% to 8%. We need to find the affect, due to this decrease, on the amount of money that would result because of fractional-reserve banking from an initial deposit of $40,000 into a bank.
The formula for the reserve is used here.
Reserve = (Deposit/Final Reserve rate) - (Deposit/Initial Reserve rate)
Reserve = ($40,000/0.08) - ($40,000/0.10)
Reserve = $500,000 - $400,000
Reserve = $100,000
Hence, the reserve amount is increased by $100,000.
To learn more about amount, visit :
https://brainly.com/question/18566818
#SPJ9
Solve the equation involving simple interest Mike borrowed some money for 2 years at 2% simple interest. If he had to pay back a total of $3952, how much did he originally borrow?
Answers
Given that Mike borrowed an amount for 2 years at 2% simple interest, and paid back a total of $3952.
To Determine: The original money he borrowed
Solution:
The formula to find the amount for simple interest is
[tex]A=P(1+rt)[/tex]Where:
A is the Amount paid back
r is the rate
t is the time
Given that
[tex]\begin{gathered} A=3952 \\ r=\frac{2}{100}=0.02 \\ t=2 \end{gathered}[/tex]Substitute the given into the formula
[tex]\begin{gathered} A=P(1+rt) \\ 3952=P(1+0.02\times2) \\ 3952=P(1+0.04) \\ 3952=P(1.04) \\ 3952=1.04P \\ P=\frac{3952}{1.04} \\ P=3,800 \end{gathered}[/tex]Hence, the Mike originally borrow $3,800
hey, can someone please help me? i really need it!
Answers
Iterative rule for the sequence 7,21 , 63,189
It is a geometry sequence, it solution is going to be:
[tex]a_n=a_0*number^{n-1}[/tex]In this case
[tex]\begin{gathered} a_0=7\text{ } \\ number\text{ is going to be } \\ number=3 \end{gathered}[/tex]Sustituing:
[tex]a_n=7*(3)^{n-1}[/tex]This is the answer, so when n=1
[tex]\begin{gathered} a_1=7*(3)^{1-1}=7 \\ a_2=7(3)^{2-1}=7*3=21 \end{gathered}[/tex]write the expression x^2 / x^-6 as a product of two factors and also as a negative exponent.
Answers
Writing the given expression as a product of two factors, we'll have;
[tex]\begin{gathered} \frac{x^2}{x^{-6}}=x^2\ast x^6=x^{2+6}=x^8 \\ \end{gathered}[/tex]Now, writing it as a negative exponent, we'll have;
Figure DEFG is a parallelogram.If m
Answers
Given
DEFG is a parallelogram and
Answer
Since adjacent angles of parallelogram are supplementary
D+E = 180
30 + E = 1`80
E = 180- 30 = 150
solve each system of equations below by graphing, please use my graphy = -2x + 1 y = x - 5
Answers
In order to find the solution to the given system of equations, find x and y intercepts for each line, as follow:
y = -2x + 1
x-intercept:
0 = -2x + 1
2x = 1
x = 1/2
y-intercept:
y = -2(0) + 1
y = 1
Then, the points of intersection for the first line are (1/2 , 0) and (0 , 1)
y = x - 5
x-intercept:
0 = x- 5
x = 5
y-intercept:
y = 0 - 5
y = - 5
Then, the points of intersection of the second line are (5,0) and (0,-5)
Next, graph the two lines by using the previous points:
The solution of the system is the point of intersection between the two lines. As you ca notice, such a point is (2,-3)
Related to your system of coordinates, you have:
The length of a rectangular rug is 4 less than twice its width. The perimeter of the rug is 34 feet. What is the area?
Answers
My first step is always to draw a picture
We are told the length is 4 less than twice the width
l = 2w-4
We are told the perimeter is 34
P =2(l+w)
Substitute the first equation in for l
P = 2( 2w-4 + w)
Combine like terms
34 = 2( 3w-4)
Distribute the 2
34 = 6w -8
Add 8 to each side
34+8 = 6w-8+8
42 = 6w
Divide by 6
42/6 = 6w/6
7 =w
Now we can find l
l = 2w-4 = 2(7) -4 = 14-4 = 10
The question asks for the area
A = l*w = 10 *7 = 70
Jed bought a generator that will run for 2 hours on a liter of gas. The gas tank on the generator is a rectangular prism with dimensions 20 cm by 15 cm by 10 cm.If Jed fills the tank with gas, how long will the generator run? [1000 cm ^3 = 1 Liter]
Answers
Volume of the rectangular-shaped gas tank = Length x Width x Height