Can someone help me with this math homework please!
Answer:
See step by Step
Step-by-step explanation:
Both are correct. As long as we undo the operations that was given from the original term to both sides until we get the variable by itself., any way can be applied.
Both, Spencer and Jeremiah are correct. We can verify this by testing their methods.
Spencer's method:
[tex]6x - 2 = - 4x + 2[/tex]
[tex]6x - 2 + 4x= - 4x + 2 + 4x[/tex]
[tex]10x - 2 = 2[/tex]
[tex]10x = 2 + 2[/tex]
[tex]10x = 4[/tex]
[tex]x = \frac{4}{10} [/tex]
[tex]x = 0.4[/tex]
Jeremiah's method:
[tex]6x - 2 = - 4x + 2[/tex]
[tex]6x - 2 - 6x = - 4x + 2 - 6x[/tex]
[tex] - 2 = - 10x + 2[/tex]
[tex] - 2 - 2 = - 10x[/tex]
[tex] - 4 = - 10x[/tex]
[tex] \frac{ - 4}{ - 10} = x[/tex]
[tex]0.4 = x[/tex]
As seen, we get the correct answer by using Spencer's and Jeremiah's method. So, we can say that they both are correct.
Juilo spent $64 and now has no money left.He( )had before his purchase
Answer:
64->-?
Step-by-step explanation:
he spent 64 and now he has none so he spent all his money
Problem 2. Joe has 7 shirts 4 pairs of pants and 2 pairs of shoes.He needs to make an outfit containing one of each item.How many different outfits are possible?
Answer:
56 different outfits
Step-by-step explanation:
Efectúa las siguientes operaciones, aplicando la propiedad distributiva de la multiplicación. De ser posible simplifique los resultados
e) 3√2 (2√6-√4-5√6-6)
f) -5√2 (√9+√8-3√4-1)
Answer:
Step-by-step explanation:
e) 3√2 (-3√6 -2 -6)
3√2 (-3√6 - 8)
-9√12 - 24√2
-9√(2^2 * 3) - 24√2
-18√3 - 24√2
or
6(-3√3 - 4√2)
f) -5√2 (3 + 2√2 - 6 - 1)
-5√2(-4 + 2√2)
20√2 - 20
or
20(√2 - 1)
−3x−8y=−8 y=2−x Is (0,1)(0,1)left parenthesis, 0, comma, 1, right parenthesis a solution of the system?
Answer:
(0,1) is not the solution to the equation
Step-by-step explanation:
Given:
−3x − 8y = −8 (1)
y = 2 − x (2)
Substitute (2) into (1)
−3x − 8y = −8 (1)
- 3x - 8(2 - x) = -8
- 3x - 16 + 8x = -8
- 3x + 8x = -8 + 16
5x = 8
x = 8/5
Substitute x = 8/5 into (2)
y = 2 − x (2)
= 2 - 8/5
= (10-8) / 5
= 2/5
y = 2/5
Solution to the equation:
(x, y) = (8/5, 2/5)
Therefore,
(0,1) is not the solution to the equation
Express 2 minutes as a percentage of 5 minutes.
Answer:
40%
Step-by-step explanation:
2 / 5 = 0.40
0.40 x 100 = 40%
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle.
8
9
Square units
Reset
Next
Answer:
36 spuare units
Step-by-step explanation:
A= 1/2 b*h
b=8
h=9
A=1/2(8*9)
A=1/2(72)
A=36
The Students in a school can be arranged in 12, 15, 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school? (Hint: find the LCM)
Answer:
180
Step-by-step explanation:
Help please guys if you don’t mind
Step-by-step explanation:
Step 2:
[tex] ({15x}^{2} - 9x) + (5x - 3)[/tex]
Stepc3:
[tex]3x(5x - 3)[/tex]
PLEASE HELP! PLEASE SHOW WORK
Use the following expression to answer this three part question:
f(x) = 2x2 + 4x − 6
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
Answer:
Step-by-step explanation:
The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.
1. Paul uses a coordinate plane to design
his model town layout.
Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0,6).
Explain Paul's mistake and write the
correct ordered pair for the new location of
the market.
PLZ ALSO INCLUDE WHAT HIS MISTAKE WAS!
ANSWER FOR Brainiest!!!
HELP i need help on part b
Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years.
Number of years 1 2 3
House 1 (value in dollars) 253,980 259,059.60 264,240.79
House 2 (value in dollars) 256,000 263,000 270,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points)
Answer
Number of years 1 2 3
House 1 (value in dollars) 249,000 253,980 259,059.60
House 2 (value in dollars) 249,000 256,000 263,000
House 1: exponential function
House 2: linear function
House 1: f(x) = 249,000 * (1.02)^(x-1)
→ f(3) = 249,000 * (1.02)³⁻¹ = 249,000 * (1.02)² = 259,059.60
House 2: f(x) = 249,000 + 7,000(x-1)
→ f(3) = 249,000 + 7,000(3-1) = 249,000 + 7,000(2) = 249,000 + 14,000 = 263,000
House 1:
f(45) = 249,000 * (1.02)⁴⁵⁻¹ = 249,000 * (1.02)⁴⁴ = 249,000 * 2.39 = 595,110
House 2:
f(45) = 249,000 + 7,000(45-1) = 249,000 + 7,000(44) = 249,000 + 308,000 = 557,000
House 1 will have a greater value than House 2 after 45 years.
Step-by-step explanation:
Hope this helps, if not let me know and I will fix it.
Part A
The value for house 1 follows an exponential growth function since the value is increasing by 2% each year. This is because we multiply each value by 1.02 to get the next year's value.
249,000*1.02 = 253,980253,980*1.02 = 259,059.60259,059.60*1.02 = 264,240.792 = 264,240.79In contrast, house 2's value increases by the same amount each year (7000 per year)
249,000 + 7,000 = 256,000256,000 + 7,000 = 263,000263,000 + 7,000 = 270,000This fixed amount it increases directly leads to house 2 having linear growth.
-----------
Summary:House 1 = exponential functionHouse 2 = linear function=================================================
Part B
The equation for house 1's value is y = 249000(1.02)^x
This is in the form y = ab^x, where a = 249000 is the starting value and b = 1.02 is the growth rate factor.
We can think of 1.02 as 1+0.02 to represent the 2% growth.
In other words, 1.02 = 1+r solves to r = 0.02 = 2%
-----------
The equation for the second home's value is y = 7000x+249000
The slope m = 7000 tells us how the value is going up per year.
The y intercept b = 249000 is the original home value (when x = 0).
-----------
Summary:Equation for home 1 is f(x) = 249000(1.02)^xEquation for home 2 is f(x) = 7000x+249000=================================================
Part C
Let's plug x = 45 into each equation mentioned in part B
For home 1, we have
f(x) = 249000(1.02)^x
f(45) = 249000(1.02)^45
f(45) = 607,025.697
f(45) = 607,025.70
So that's the value of home 1 after 45 years of constant 2% growth per year
For the second home, we have,
f(x) = 7000x+249000
f(45) = 7000*45+249000
f(45) = 564,000
So there is a significant difference. This difference is 607,025.70 - 564,000 = 43,025.70 dollars.
-----------
Summary:Home 1's value = $607,025.70Home 2's value = $564,000This is a difference of $43,025.70 which is fairly significant. It's better to go with home 1.Find the measure of the third angle of a triangle if the measures of the other two angles are given.
102.9 and 40.4
Answer:
36.7
Step-by-step explanation:
180 - 102.9 - 40.4= 36.7
The measure of the third angle of the given triangle after applying the angle sum property of a triangle is 36.7 degrees.
The measures of the two angles of a triangle are 102.9 and 40.4.
We need to find the measure of the third angle.
What is the Angle Sum Property of a triangle?The angle sum property of a triangle states that the sum of all three interior angles of a triangle is 180 degrees.
If A, B, and C are the interior angles we have,
A + B + C = 180.
Consider the three interior angles to be A, B, and C.
We are given two angles 102.9 and 40.4.
Let A = 102.9, B = 40.4.
and C = angle to be measured.
Now,
Applying the angle sum property of a triangle.
We have,
A + B + C = 180
102.9 + 40.4 + C = 180
143.3 + C = 180
C = 180 - 143.3
C = 36.7 degrees.
After applying the angle sum property of a triangle we got the measure of the third angle as 36.7 degrees.
Learn more about the measurement of angles in a triangle here:
https://brainly.com/question/27681289
#SPJ2
If you like peanut butter and chocolate, then you will love Reese's.
What is the converse of the statement?
Answer:
Reese's love peanut butter and chocolate
hope it helps u
plz mark it as brainliest
• Work out
3 1/2 X 1 3/5
Give
your answer as a mixed number in its simplest form
Answer:
5 3/5
Step-by-step explanation:
3 1/2 * 1 3/5
Change to improper fractions
(2*3+1)/2 * (5*1+3)/5
7/2 * 8/5
56/10
Change back to a mixed number
50/10 +6/10
5 +3/5
5 3/5
Someone please help me ASAP please
Answer:
hey mate
plz mark it as brainliest
A local hamburger shop sold a combined total of 688 hamburgers and cheeseburgers on Thursday. There were 62 fewer cheeseburgers sold than hamburgers How many hamburgers were sold on Thursday?
Answer:
626
Step-by-step explanation:
So 62 fewer right so 688 combined- 62 cheeseburger =626 hamburger
In 2005, there were 1000 rabbits on an island. The population grows 8% per year. AT this rate, how many
rabbits will there be on the island by 2020?
Answer: 3172
Step-by-step explanation:
What is the value of x to the nearest tenth?
A) 29.5
B)18.5
C)37.0
D)40.8
211 base x is equal to 10110 base 2
Hello,
[tex](211)_x=(10110)_2\\\\2*x^2+x+1=22\\\\2x^2+x-21=0\\\Delta=1+4*2*21=169=13^2\\x=\dfrac{-1+13}{4}= 3\\or\\x=\dfrac{-1-13}{4}\ may\ not\ be\ negative\\\\[/tex]
x=3
A conditional statement is logically equivalent to a biconditional statement. True False pls help i have a test and i was absent for 3 days i know nothing about this help help help help pls
Answer:
false.
Step-by-step explanation:
A conditional statement is something like:
If P, then Q.
This means that if a given proposition P is true, then another proposition Q is also true.
An example of this is:
P = its raining
Q = there are clouds in the sky.
So the conditional statement is
If its raining, then there are clouds in the sky.
A biconditional statement is:
P if and only if Q.
This means that P is only true if Q is true, and Q is only true if P is true.
So, using the previous propositions we get:
Its raining if and only if there are clouds in the sky.
This statement is false, because is possible to have clouds in the sky and not rain.
(this statement implies that if there are clouds in the sky, there should be rain)
Then we could see that for the same propositions, the conditional statement is true and the biconditional statement is false.
Then these statements are not logically equivalent.
The statement is false.
help help help pls :)
Answer:
[tex]opposite\approx 70.02[/tex]
Step-by-step explanation:
The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the names ([tex]opposite[/tex]) and ([tex]adjacent[/tex]) are subjective and change depending on the angle one uses in the ratio. However the name ([tex]hypotenuse[/tex]) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.
In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent ([tex]tan[/tex]) ratio.
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Substitute,
[tex]tan(35)=\frac{opposite}{100}[/tex]
Inverse operations,
[tex]tan(35)=\frac{opposite}{100}[/tex]
[tex]100(tan(35))=opposite[/tex]
Simplify,
[tex]100(tan(35))=opposite[/tex]
[tex]70.02\approx opposite[/tex]
Find the average rate of change of g(x)=-2x^3-5 from x=-4 to x=1
Answer:
26
Step-by-step explanation:
We have the average rate of change on the interval [a,b] as
f(b)-f(a)/(b-a)
b = 1 and a = -4
f(b) = f(1) = -2(1)^3 -5 = -2-5 = -7
f(a) = f(-4) = -2(-4)^3 -5 = 128 -5 = 123
so we have;
(123 + 7)/(1+4) = 130/5 = 26
Can you help me with this question? It’s in the photo
Answer:
Option (d), (e) and (f) are correct.
Step-by-step explanation:
In triangle MNP, angle P = 90 degree
Cos M = 7 / 12
Now according to the right angle triangle
[tex]NP^2 = NM^2 - PM^2\\\\NP^2 = 12^2 - 7^2\\\\NP = \sqrt95[/tex]
Now
[tex]Sin M = \frac{sqrt95}{12}\\\\Cos N = \frac{95}{12}[/tex]
luis tiene 3 años más que
Ines. La edad de Antonio
suma de las edades de ambos.
¿ Cuales Son las edades de Luis
e Ine's si antonio tiene 15 años?
Answer:
NMHGJMHBNKJ6T76 5745
Step-by-step explanation:
7657457657776767
What is the approximate value of x. Enter only a numeric answer rounded to the nearest tenth
Answer:
14.9 degrees
Step-by-step explanation:
For this problem you can use Tan∅=o/a and solve for the angle:
15.7 / 59 = 0.2661
Then use inverse tangent of 0.2661 to get 14.9.
Which ordered pair is a solution of 2x+4y=6x-y
Answer:
5y=4x
Step-by-step explanation:
What is the mean absolute deviation? 6,5,7,2,4,8
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|
Step-by-step explanation:
subtract the following rational expressions
[tex] \frac{8k}{9k - 4} - \frac{3k^3}{2k + 7} [/tex]
please show all work
Answer:
-27k^4 +12k^3+16k^2+56k
---------------------
(9k-4)(2k+7)
Step-by-step explanation:
8k 3k^3
--------- - -----------
9k-4 2k+7
Get a common denominator
8k *(2k+7) 3k^3 *(9k-4)
--------- - -----------
(9k-4)(2k+7) (9k-4)(2k+7)
Combine
8k *(2k+7) -3k^3 *(9k-4)
---------------------
(9k-4)(2k+7)
Distribute
16k^2+56k -27k^4 +12k^3
---------------------
(9k-4)(2k+7)
-27k^4 +12k^3+16k^2+56k
---------------------
(9k-4)(2k+7)
A researcher who examines the causal relationship between amount of exercise (i.e., participants are randomly assigned to 30 minutes of exercise per day or no exercise) and memory abilities is using the ______ research design.
Answer: experimental
Step-by-step explanation:
Experimental research design refers to a research that is conducted with a scientific approach whereby two sets of variables are used. It adheres to the scientific research design.
An experimental research design consist of an hypothesis, a variable which the researcher can manipulate and variables which can be measured. Based on the information given, the experimental research design is used.
