Step-by-step explanation:
y = 3x - 5
y = 3x + 5
a solution to this means, there is at list one value of x, for which both equations deliver the same y.
to find this we are saying both y are equal and solve for x :
3x - 5 = 3x + 5
-5 = 5
that is not true in any case and for any values of x.
therefore, there is no solution.
graphically you can imagine :
both functions are lines with the same slope or inclination. so, they are parallel. but have an offset from each other.
parallel lines will never cross (but they need a crossing point to have a common solution).
so, again, no solution.
If f(x) = x and g(x) = 2, what is (f•g)(x)?
Answer:
(f•g)(x) = (x)(2) = 2x
Step-by-step explanation:
(f•g)(x) is the "product" of functions f and g:
(f•g)(x) = (x)(2) = 2x
Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair. hurry
Here Allie mistook the x and y axis completely oppositely.
→ First should be the x axis and then the y axis, (x, y)
Answer:
Step-by-step explanation:
Coordinates of a point are usually represented by (x, y) where x describes the horizontal distance from the y-axis and y describes the vertical distance from the x-axis.
Point A
4 units from the y-axis ⇒ x = 4
6 units from the x-axis ⇒ y = 6
A = (4, 6)
Point B
2 units from the y-axis ⇒ x = 2
9 units from the x-axis ⇒ y = 9
B = (2, 9)
Point C
0 units from the y-axis ⇒ x = 0
4 units from the x-axis ⇒ y = 4
C = (0, 4)
Point D
Allie has mixed up the x and y coordinates of D.
7 units from the y-axis ⇒ x = 7
3 units from the x-axis ⇒ y = 3
D = (7, 3)
jackson is paid $250.for 5
days of Work how much IS
he paid per day
If a rectangle has an area of 12 m?, then it has
sides of length 3 m and 4 m.
9.What are the converse, the inverse, and the
contrapositive? What are their truth values?
A conditional statement has the same truth value as Contrapositive
Here we have,
to complete the statement:
From the question, we are to determine which type of conditional statement has the same truth value as the original statement
As a general rule, if the truth value of an original statement is True, the truth value of the contrapositive would also be true
Similarly;
If the truth value of an original statement is false, the truth value of the contrapositive would also be false
Hence, a conditional statement has the same truth value as contrapositive
Read more about conditional statement at:
brainly.com/question/11073037
#SPJ1
complete question:
A conditional statement has the same truth value as:
Contrapositive
Converse
, ,
Inverse
Turquoise paint is mixed using blue, white and yellow paint in the ratio 3:4:2 What fraction of turquoise paint is yellow?
Answer:
not sure but is it 37.5 ml?
Step-by-step explanation:
or just
improper fraction:75/2
mixed number: 37 1/2
percent 37.5
What are independent variables and dependent variables when
conducting a research design to investigate the impact of a school
nutrition program on grade performance of students at high
school?
Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.
The researcher would design and implement the program, and this variable would be under their control.
Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.
In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.
Learn more about Independent variables here:-
https://brainly.com/question/32711473
#SPJ11
Find the absolute maximum and absolute minimum values of f on the given interval.f(t) = 5t + 5 cot(t/2), [π/4, 7π/4]absolute minimum value absolute maximum value
To find the absolute maximum and minimum values of f on the given interval, we need to first take the derivative of f and set it equal to zero to find the critical points.
Then, we will check the endpoints of the interval to see if they give us any maximum or minimum values. Taking the derivative of f, we get f'(t) = 5 - (5/2) csc^2(t/2). Setting this equal to zero and solving for t, we get t = π/2, 3π/2. These are the critical points.
Next, we need to check the values of f at the critical points and the endpoints of the interval. At t = π/4, f(π/4) = 5π/4 + 5√2, and at t = 7π/4, f(7π/4) = -3π/4 - 5√2. At the critical points, f(π/2) = 5√2 and f(3π/2) = -5√2.
Therefore, the absolute maximum value of f on the interval [π/4, 7π/4] is 5π/4 + 5√2, and the absolute minimum value of f on the interval is -3π/4 - 5√2.
As there are no critical points in the given interval, the absolute maximum and minimum values must occur at the endpoints. By comparing the function values at these endpoints, we can determine the absolute maximum and minimum values:
Absolute minimum value: min{f(π/4), f(7π/4)}
Absolute maximum value: max{f(π/4), f(7π/4)}
Keep in mind that you'll need to calculate the actual function values at the endpoints to determine the numerical values of the absolute minimum and maximum.
To know more about derivative click here
brainly.com/question/29096174
#SPJ11
-5(2x + 6) + 9x = -32
Answer:
What is the question? It is incomplete
Step-by-step explanation:
Please mark as brainliest !!!!!
pppppllllllllllssssssss
Answer:
heres ur answer x=2
heres what i used to solve it PEMDAS
Kim sold half of his comic books and then bought 16 more. He now has 36. With how many did he start with?
Answer: 40
Step-by-step explanation: Subtract 16 from 36 and you get 20. It says half so you multiply by 2 and get 40.
0 = 5² - 2х + 6
a) x = 1 ± 3i / 2
b) x = 1 ± √11 / 5
c) x = 1 ± i √29 / 5
Answer:
c) x = 1 ± i √29 / 5
Step-by-step explanation:
assuming we are solving for x we can use the quadratic formula
quadratic formula : \(\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}\)
where the values of a,b and c are derived from the equation
the equation is put in quadratic form : ax² + bx + c
so in 5x² -2x + 6 a = 5 , b = - 2 and c = 6
we then plug these values of a, b and c into the quadratic formula
recall quadratic formula \(\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}\)
a = 5 , b = - 2 , c = 6
\(\frac{-(-2)+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}\)
remove parenthesis at -(-2) to get positive 2 because the negative signs cancel out
\(\frac{2+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}\)
evaluate exponent
\(\frac{2+or-\sqrt{4-4(5)(6)} }{2(5)}\)
multiply -4(5)(6)
\(\frac{2+or-\sqrt{4-120} }{2(5)}\)
subtract 120 from 4
\(\frac{2+or-\sqrt{-116} }{2(5)}\)
multiply 2 and 5
\(\frac{2+or-\sqrt{-116} }{10}\)
because we cant have a negative square root we replace the negative sign with i (which equals -1 ) and add it to the outside of the square root
\(\frac{2+or-i\sqrt{116} }{10}\)
we then simplify the radical
\(\frac{2+or-2i\sqrt{29} }{10}\)
we then simplify the fraction
2/10 = 1/5 so both 2's cancel out
\(\frac{1+or-i\sqrt{29} }{10}\)
the answer is C
Jutin chooe a function o that when he ue the number 7 a an input, the output i 20. Which function could he ue?
A. F(x)=2x5
B. G(x)=x^2-19
C. H(x)=13-x
D. J(x)=3x-1
HELP PLEASE!!!
Jutin chooses a function J(x) = 3x - 1 that when he uses the number 7 as an input, then the output is 20.
As per the given data, Jutin chooses a function in which he uses the number 7 as an input, then the output is 20.
Here we have to determine which function Jutin has to use.
Now we have to substitute the value that x = 7 in all the given functions.
First function:
F(x) = 2\(x^{5}\)
F(7) = 2 \((7)^{5}\)
F(7) = 2 (16807)
F(7) = 33614 which is not equal to 20.
Second function:
G(x) = \(x^{2}\) - 19
F(7) = \((7)^{2}\) - 19
F(7) = 49 - 19
F(7) = 30 which is not equal to 20.
Third function:
H(x) = 13 - x
H(7) = 13 - 7
H(7) = 6 which is not equal to 20.
Fourth function:
J(x) = 3x - 1
J(7) = 3(7) - 1
J(7) = 21 - 1
J(7) = 20
The correct function is J(x) = 3x - 1
For more questions on substitution method
https://brainly.com/question/28663522
#SPJ4
What is the distance between the bank and Hiroto’s house on the map?
Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)
Answer:
11 miles
Step-by-step explanation:
the distance between them is 11 because 8+3=11 so they are 11 miles apart
The midpoint of AB is M(-3, 2 If the coordinates of A are (-7, 1), what are the coordinates of B
Answer:
coordinates of B are (-5, 3/2)
Step-by-step explanation:
equation :
x = m1 × x2 + m2 × x1 y = m1 × y2 + m2 × y1
_____________ _____________
m1 + m2 m1 + m2
x = (1 × -3) + (1 × -7) y= (1 × 2) + (1 × 1)
_____________ ____________
1 + 1 1 + 1
x = (-3 + -7)/ 2 = -10/ 2 = -5 y = (2+ 1)/2 = 3/2
∴coordinates of B are (-5, 3/2)
i think u should view this on a wider screen if ur using a phone <3
Two-thirds of the students in your class are boys. One eighth of the boys play soccer what fraction of the kids in your class are boys who play soccer
Math period 4 — 9th Grade
Answer:
7 of the kids in your class play
Step-by-step explanation:
Hope this helps you :)
Find the distance between the two points rounding to the nearest tenth (if necessary). (-1,5) and (-7, -1)
Distance formula:
\(d = \sqrt{(x_{2}-x_1)^2 +(y_2-y_1)^2}\)
Now replace the variables with the numbers (When you replace the numbers, it doesn't matter which is the first variable and second variable. Just do whatever is easiest).
\(d = \sqrt{(-1-(-7))^2+(5-(-1))^2}\\d = \sqrt{(-1+7)^2+(5+1)^2}\\d = \sqrt{6^2+6^2}\\d = \sqrt{36+36}\\d = \sqrt{72} \\d = 8.5\)
Thus, the distance between the two points is 8.5
Week 6 Practice Problem A Draw the supply and demand for labor in a market in equilibrium. Label the equilibrium wage and quantity of labor. On the same graph illustrate how this market would change if a labor union began representing workers in this industry.
To draw the supply and demand for labor in a market in equilibrium, and illustrate the impact of a labor union, we can use a standard supply and demand graph with quantity of labor (Q) on the x-axis and wage (W) on the y-axis.
Market in Equilibrium:
In a competitive labor market, the supply of labor represents the quantity of workers willing and able to work at various wage levels. The demand for labor represents the quantity of workers that firms are willing to hire at various wage levels. In equilibrium, the supply and demand curves intersect.
Let's assume that at the equilibrium, the wage is labeled as We and the quantity of labor is labeled as Qe.
Graphically, the supply curve (S) slopes upward from left to right, indicating that higher wages incentivize more workers to enter the labor market. The demand curve (D) slopes downward from left to right, indicating that higher wages result in fewer workers being demanded by firms.
Place the equilibrium point (We, Qe) where the supply and demand curves intersect on the graph.
Impact of a Labor Union:
When a labor union represents workers in the industry, it can negotiate for better wages and working conditions on behalf of its members. This can shift the supply and/or demand curve.
a. Shift in the Supply Curve:
If the labor union successfully negotiates higher wages for its members, it can result in an upward shift of the supply curve. This shift represents an increase in the quantity of labor supplied at each wage level.
Draw a new supply curve (S') above the original supply curve. The new supply curve should intersect the demand curve (D) at a higher wage level (Wu) and a greater quantity of labor (Qu).
b. Shift in the Demand Curve:
If the labor union's demands result in higher production costs for firms, it can lead to a decrease in labor demand. This can cause a leftward shift of the demand curve.
Draw a new demand curve (D') to the left of the original demand curve. The new demand curve should intersect the supply curve (S) at a lower wage level (Wd) and a lower quantity of labor (Qd).
Label the new equilibrium point with a labor union as (Wu, Qu).
Note: The specific shift and its impact (supply or demand) depend on various factors and the specific circumstances of the labor union's actions. The above explanation provides a general example.
By graphically illustrating the changes in the labor market due to the presence of a labor union, you can visually see the impact on the equilibrium wage and quantity of labor.
To learn more about supply and demand here:
https://brainly.com/question/32690102
#SPJ4
plzzzzzzzzzzzzzzzzzzzzzzz
Answer:
18x to the power of 2 -15x+2
Step-by-step explanation:
Use a Pythagorean Triple to find x.
Answer:
x = 51
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
x² = 45² + 24² = 2025 + 576 = 2601 ( take the square root of both sides )
x = \(\sqrt{2601}\) = 51
Answer:
x = 51.
Step-by-step explanation:
The triple you require is 17-15-8
We have x-45-24
- that is three times each number in the triple.
So x = 3*17 = 51.
Please, i actually need help right now! 9th grade algebra 1.
Davids neighborhood is having a yard sale. Many of the neighbors brought bicycles and tricycles their children had out grown. The number of bicycles was 6 more than 3 times the number of tricycles. If there were 84 total wheels, how many tricycles were at the yard sale?
Answer:
8 tricycles
Step-by-step explanation:
Let x be the amount of bicycles and y be the amount of tricycles
We can set up a system of equations:
x=3y+6
2x+3y=84
We can solve using substitution
2(3y+6)+3y=84
Distribute
6y+12+3y=84
Combine like terms
9y+12=84
Subtract 12 from both sides
9y=72
Divide 9 from both sides
y=8
There were 8 tricycles at the yard sale
13. list all the steps used to search for 9 in the sequence 1, 3, 4, 5, 6, 8, 9, 11 using a) a linear search. b) a binary searc
By linear search, We discovered that element 9 is the seventh in the sequence, meaning that number 9 appears on the list in the sequence 1, 3, 4, 5, 6, 8, 9, 11.
Define sequence.A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.
Given,
Sequence = 1, 3, 4, 5, 6, 8, 9, 11
By linear search,
The first element is compared to 9 first. If the element's value is less than nine, we compare the subsequent element with nine, and so on.
Step 1: 9 is not the same as 1.
Step 2: 9 is not the same as 3.
Step 3: 9 is not the same as 4
Step 4: 9 is not the same as 5
Step 5: 9 is not the same as 6
Step 6: 8 and 9 are not the same.
Step 7: 9 equals 9.
We discovered that element 9 is the seventh in the sequence, meaning that number 9 appears on the list.
To learn more about sequence, visit:
https://brainly.com/question/21961097
#SPJ4
Given the following proposition:
[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]
Given that A and B are true and X and Y are false, determine the truth value of Proposition 2A.
a.
True.
b.
False.
Therefore, the truth value of Proposition 2A is False.
To determine the truth value of Proposition 2A, let's substitute the given truth values for the variables:
A = True
B = True
X = False
Y = False
Now let's evaluate the truth value of each component of the proposition:
(X ⊃ A) • (B ⊃ ∼ Y):
(False ⊃ True) • (True ⊃ ∼ False)
(True ⊃ True) • (True ⊃ True)
True • True
True
(B ∨ Y) • (A ⊃ X):
(True ∨ False) • (True ⊃ False)
True • False
False
[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]:
True ⊃ False
False
To know more about Proposition,
https://brainly.com/question/31979370
#SPJ11
Which equation shows y=3x−15 in standard form?
15x+y=-1
15x-5=1
5x-15y=1
5x-15y=-1
Answer:
the correct answer would be I think 5x-15y=1
Step-by-step explanation:
I have already learned that
Answer:
it's 5x - 15y = 1
Step-by-step explanation:
Hope this helped have a wonderful day!!! :)
In 2016, it was established that 4.1% of all U.S. adults self-identified as LGBTQ. In 2021, Gallup conducted a study on the percentage (proportion) of US adults who self-identify as LGBTQ. Among the 10,562 US adults who were surveyed 750 adults self-identified as LGBTQ.
Based on the recent survey can you claim that the proportion of adults self-identified as LGBTQ has increased? Conduct a hypothesis test at 5% level of significance.
The sample proportion of adults self-identified as LGBTQ is ["7.5", "7.1", "4.1", "750"] % Round to 1 decimal, as percent.
The null hypothesis H0: ["p = 0.041", "p > 0.041", "p = 750", "p = 0.071"]
The alternate hypothesis HA:["p not equal to 0.041", "p not equal to 0.071", "p > 0.071", "p > 0.041"]
Z-stat value of the test is ["0.05", "0.004", "15.55", "0.0001"]
p-value of the test is ["0.003", "0.4985", "0.05", "0.0001"] .
The p-value is ["more than", "less than", "equal to"] significance level.
Decision: We have evidence to ["insufficient evidence to conclude", "reject null and claim alternate hypothesis", "claim null and reject alternate hypothesis"]
Conclusion: We can claim that [ Select ] ["proportion of adults self-identified as LGBTQ is now 7.1%", "proportion of adults self-identified as LGBTQ has increased", "number of adults self-identified as LGBTQ is now 750", "proportion of adults self-identified as LGBTQ is now 4.1%"]
Conducting a hypothesis test to determine if the proportion of adults self-identified as LGBTQ has increased, we get the following :
Sample proportion of adults self-identified as LGBTQ : 7.1% (7.1% = 750/10,562)
Null hypothesis (H0) : p = 0.041 (proportion of adults self-identified as LGBTQ is 4.1%)
Alternate hypothesis (HA) : p > 0.041 (proportion of adults self-identified as LGBTQ has increased)
To perform the hypothesis test, we can use the Z-test statistic. The calculated Z-stat value of the test is 15.55. The corresponding p-value for this test is approximately 0.0001.
Comparing the p-value (0.0001) to the significance level (0.05), we find that the p-value is significantly less than the significance level.
Based on the decision criteria, when the p-value is less than the significance level, we reject the null hypothesis and claim the alternate hypothesis.
Decision : We have evidence to reject the null hypothesis (H0) and conclude that the proportion of adults self-identified as LGBTQ has increased.
Conclusion: We can claim that the proportion of adults self-identified as LGBTQ has increased based on the recent survey, as the sample data suggests a proportion of 7.1% compared to the established proportion of 4.1% in 2016.
To know more about hypothesis test, refer to the link :
https://brainly.com/question/29727211#
#SPJ11
Home Depot is delivering washing machines to buyers. The washing machines are rectangular prisms that measure 5 ft x 5 ft x 6 ft. These machines are then packed into a delivery truck with dimensions of 30 ft x 15 ft x 12½ ft.
What is the volume of a washing machine Please show work
Step-by-step explanation:
Volume of Washing machine = Volume of Rectangle
= Length x Width x Height
= 5 x 6 x 6
\( = 180ft^{3} \)
PLZ HELP SPEEDY A line has a slope of -2 and a y-intercept of –3. Graph the line using the slope and y-intercept.
Which of the following points lie on this same line?
(–2, 0)
(–1.5, 0)
(–6, 9)
(2, –3)
(3, –9)
(–4, 4)
Answer: (-1.5,0), (-6,9), (3, -9)
Step-by-step explanation:
Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4
Step-by-step explanation:
when you do an arithmetic operation to functions, you do it for the defining expressions.
so,
(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7
(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12
= 4(x² + 4x + 3)
(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13
Two small metal spheres are 35. 1 cm apart. The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0. 0360 n. What is the charge on each sphere?
Two small metal spheres are 35. 1 cm apart. The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0. 0360 n. The charge on each sphere \(Q = 1.4 \times 10^{-12}\) c.
What is coulombs law?According to coulombs law force between two charges is given by
\(F = \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}\)
Here, R is the distance between both the charges Q and q.
Two small metal spheres are 35. 1 cm apart.
The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0. 0360 n.
We have given force F =0.036 N
R is the distance between both the charges which is given as 25 cm
So
\(F = \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}\)
\(0.036 = \dfrac{1}{4\times 3.14\times 8.85\times 10^{-12} }(\dfrac{Q^2}{35. 1})\)
\(Q = 1.4 \times 10^{-12}\) c
Learn more about coulombs law;
https://brainly.com/question/13106909
#SPJ4
jackson and ginger are both learning to ride a bike. Jackon can travel y = 4x miles. and ginger travels y = 3x + 15
We can say that the distance travelled and minutes spent biking will be equal for both of them if they bike for 15 minutes.
What is the general equation of a straight line?The general equation of a straight line is of the form -
y = mx + c
where -
[m] is slope of line
[c] is y - intercept
Given are Jackson and Ginger who are learning to ride a bike. Jackson can travel (y = 4x) miles and ginger can travel (y = 3x + 15) miles.
Both the equations represent a straight line, plot the graph for both the lines. The point of intersection of these two lines will represent the point when the distance between and minutes spent biking are same for both Jackson and Ginger.
Refer to the graph attached. Both of these graphs intersect at (15, 60).
Therefore, we can say that the distance travelled and minutes spent biking will be equal for both of them if they bike for 15 minutes.
To solve more questions on graphical kinematics, visit the link below-
https://brainly.com/question/22038782
#SPJ1
[ The complete question is attached with the answer ]
The sum of two numbers is 16 and their difference is 2 the big number between them is
hello
the answer to the question is:
A + B = 16
A - B = 2
----> A = 9, B = 7
and the number between them is 8
Find the rate of change shown in the table
Answer:
the rise over run
Step-by-step explanation: