The solution to the system of equations is x = -1.4 and y = 1.6
How to estimate the solution?The system of equations is given as:
-3x + 3y = 9
2x - 7y = -14
Divide the first equation by 3
-x + y = 3
Make y the subject
y = 3 + x
Substitute y = 3 + x in 2x - 7y = -14
2x - 7(3 + x) = -14
Expand
2x - 21 - 7x = -14
Evaluate the like terms
-5x = 7
Divide by -5
x = -1.4
Substitute x = -1.4 in y = 3 + x
y = 3 - 1.4
Evaluate
y = 1.6
Hence, the solution to the system of equations is x = -1.4 and y = 1.6
Read more about system of equations at:
https://brainly.com/question/14323743
#SPJ1
Answer:
Question:
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
⎪y=−2x−5
⎨y=2x−2
ANSWER:
CORRECT (SELECTED)
x= -3/4
y= -3 1/2
what are the values Of p and q ?
The values of p and q in the function f(x) = 2x³ + 17x² - 3px - 5q is p = 8, q = 27
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
x - 3 (i.e. x = 3) and x + 9 (i.e. x = -9) are factors of f(x) = 2x³ + 17x² - 3px - 5q
Hence:
f(3) = 0
2(3)³ + 17(3)² - 3p(3) - 5q = 0 (1)
Also:
2(-9)³ + 17(-9)² - 3p(-9) - 5q = 0 (2)
Hence, p = 8, q = 27
The values of p and q in the function f(x) = 2x³ + 17x² - 3px - 5q is p = 8, q = 27
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
See question below super confused
Answer:
$ 1021.25
Step-by-step explanation:
FV = P ( 1 + .085 * 3/12) = 1021.25
3/12 = 3 months out of a year
.085 = decimal interest P = 1000
I have 28 students in my MAT121 class who recently took a test. Their results are graphed below.
a. What percent received a score less than 60?
b. How many students received a score greater than 85?
Considering the box-and-whisker plot, it is found that:
a) 25% of the students scored less than 60.
b) 25% of the students received a score greater than 85.
What does a box-and-whisker plot shows?A box and whisker plot shows three things:
The 25th percentile, which is the median of the bottom 50%.The median.The 75th percentile, which is the median of the upper 50%.From the plot given in the graph, we have that:
The 25th percentile is of 60, hence 25% of the students scored less than 60.The 75th percentile is of 85, hence 25% of the students received a score greater than 85.More can be learned about a box-and-whisker plot at https://brainly.com/question/27608957
#SPJ1
Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) 9. how can the rectangular equation be described?
Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Please help!!! What is the product to the following?
The product of 3x² and 2x³y + 5xy⁴ is given by the expression 6x⁵y + 15x³y⁴
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The product of 3x² and 2x³y + 5xy⁴ is:
= 3x² * (2x³y + 5xy⁴)
= 6x⁵y + 15x³y⁴
The product of 3x² and 2x³y + 5xy⁴ is given by the expression 6x⁵y + 15x³y⁴
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
The difference between two numbers is 120. If the smaller number is 720 what is the larger number?
2₂
5
●x<0
X>0
●x< 1
3
2
A
-3
2 3
3
What is the domain of the function?
all real numbers
a
Answer:
x>0
Step-by-step explanation:
The domain of a function is the set of x-values.
I’m having some problems understanding. I get it but don’t at the same time.
Answer:
C is the correct answer.
Step-by-step explanation:
-Angle 1 is not equal to Angle 5.
-Angle 3 + Angle 5 will not equal 180 degrees, since they are corresponding angles, not supplementary angles.
Though, Angle 8 is equal to Angle 6, likewise that 7 is equal to 9. Therefore, these angles will create a 180 degrees angle. This is because if 8 and 9 are supplementary, and 7 is a corresponding angle of 9, this will make Angle 8 + Angle 7 = 180 degrees.
Beginning inventory, purchases, and sales for WCS12 are as follows:
Oct. 1 Inventory 300 units at $12
13 Sale 190 units
22 Purchase 390 units at $15
29 Sale 300 units
a. Assuming a perpetual inventory system and using the weighted average method, determine the weighted average unit cost after the October 22 purchase. Round your answer to two decimal places.
The weighted average unit cost after the October 22 purchase is $13.70.
What is the weighted average unit cost?The weighted average unit cost determines the weighted average cost of all the purchased inventory.
[(300 x 12) + (390 x 15) ] / (300 + 390)
(3600 + 5850) / 690 = $13.70
To learn more about the weighted average method, please check: https://brainly.com/question/28018617
#SPJ1
Write each of the following as a trigonometry ratio of positive acute angles. (a) sin(-194°) (b) cos 481° (c) tan 185° (d) sin 331° Write each of the following as a trigonometry ratio of positive acute angles . ( a ) sin ( -194 ° ) ( b ) cos 481 ° ( c ) tan 185 ° ( d ) sin 331 °
(a) [tex]\sin(-194^{\circ})=-\sin 194^{\circ}=-(-\sin 14^{\circ})=\sin 14^{\circ}[/tex]
(b) [tex]\cos 481^{\circ}=\cos 121^{\circ}=-\cos 59^{\circ}[/tex]
(c) [tex]\tan 185^{\circ}=\tan 5^{\circ}[/tex]
(d) [tex]\sin 331^{\circ}=\sin(-29^{\circ})=-\sin 29^{\circ}[/tex]
The one-to-one functions g and h are defined as follows.
The value of g⁻¹(5) = 0, h⁻¹(x) = (x+10)/3, and the value of h(h⁻¹(5)) = 5 if g = {(-4, 1), (0, 5), (5, -3), (8, -8)} and h(x) = 3x - 10
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
g = {(-4, 1), (0, 5), (5, -3), (8, -8)}
As we know,
If f(x) has an ordered pair (x, y) then its inverse of a function has (y, x).
g⁻¹ = {(1, -4), (5, 0), (-3, 5), (-8, 8)}
g⁻¹(5) = 0
h(x) = 3x - 10
h⁻¹(x) = (x+10)/3
h⁻¹(5) = 15/3 = 5
h(h⁻¹(5)) = 3(5) - 10
h(h⁻¹(5)) = 5
Thus, the value of g⁻¹(5) = 0, h⁻¹(x) = (x+10)/3, and the value of h(h⁻¹(5)) = 5 if g = {(-4, 1), (0, 5), (5, -3), (8, -8)} and h(x) = 3x - 10
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
To collect data from a number of people in a sample, use a/an ___________________. A. questionnaire B. group chart C. question log D. long form
To collect data from a number of people in a sample, use a questionnaire
What are questionnaires?Questionnaires are quantitative method used in research for information collection purpose.
This questionnaires consists of several question necessary to provide answers and solution to research questions and for the purpose of analysis. These questions can be open or closed ended questions depending on the nature of research.
Hence we can conclude that. to collect data from a number of people in a sample, use a questionnaire
learn more on questionnaires here: https://brainly.com/question/14731302
#SPJ1
Search the internet regarding Golden Ratio explain its history significance and find its value in fraction/decimal give at least five examples from nature surroundings human body architecture etc manifesting the concept of Golden ratio please write in easy words for grade 4
help please
Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
What is the Golden ratio?It should be noted that the Golden ratio is also called the golden mean or divine proportion.
The Golden ratio is refered to as the. most beautiful number in the universe.
It is extraordinary because it can be visualized everywhere from geometry to the human body.
In this case, quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
A single die is rolled twice. Find the probability of getting a 1 the first time and a 4 the second time.
Answer:
1/36
Step-by-step explanation:
Rolling a 1 the first time has an 1/6 chance and rolling a 4 has an 1/6 chance the 2nd time.
1/6 * 1/6 = 1/36 chance.
A patient is being given 2 1/3 milligrams of a drug per hour. How many total milligrams of the drug
will he get in 4 hours?
Answer:
it mean that the patient get 7mg drug in1 hour and infour hours he get 4×7= 28mg drug
Translate this sentence into an equation.
22 more than Helena's score is 41.
Use the variable h to represent Helena's score.
Suppose your weekly paycheck is $300.
Because of losses by your employer, you agree to a temporary 10% pay
cut.
Your employer promises to give you a 10% pay raise after six months.
Will the pay raise restore your original salary?
For full credit, you must explain why or why not in the space provided
below.
Answer:
No
Step-by-step explanation:
[tex]300 \times .9 \times 1.1 = 297[/tex]
In a survey of 4096 adults, 733 oppose allowing transgender students to use the bathrooms of the opposite biological sex Construct a 99% confidence interval for the population proportionInterpret the results A 99% confidence interval for the population proportion is (Round to three decimal places as needed)
A 99% confidence interval for the population proportion is; CI = (0.164, 0.194)
How to construct the confidence Interval?We are given;
Sample size; n = 4096
Number that opposed transgender students; x = 733
Thus;
Proportion; p^ = x/n = 733/4096 = 0.179
Formula for confidence interval of proportions is;
CI = p^ ± z√[p^(1 - p^)/n]
The z-value for confidence level of 99% is z = 2.576
Thus;
CI = 0.179 ± 2.576√[0.179(1 - 0.179)/4096]
CI = 0.179 ± 0.015
CI = (0.164, 0.194)
Read more about Confidence Interval at; https://brainly.com/question/17097944
#SPJ1
explain in words with mathematical representations how you would dividie this polynomial in each of the three ways:
The division of a polynomial is illustrated below.
What is a polynomial?It should be noted that a polynomial simply means an expression that consist of variables which involves the operation of addition, subtraction, etc.
The way to divide the polynomial will be:
Set up the division problem.
Determine the first term of the quotient.
Multiply the answer by the divisor.
Write it below the like terms of the dividend.
Subtract the bottom binomial from the term above it.
Bring it down and repeat the steps until you reach the last term.
Learn more about polynomial on:
brainly.com/question/2833285
#SPJ1
What are the solution points for the system graph?
Question 14 options:
A)
(–2,–4) and (4,8)
B)
(–2,8) and (–4,4)
C)
(8,–2) and (4,–4)
D)
(–2,4) and (–4,8)
Answer:
btyivh
Step-by-step explanation:he was so much for your support of school and I have a great day of school and I have a great day of school and I have a great day of school
The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.
We need to find the solution to the given function.
How to find the solution to the function from the graph?The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be at the point where the two lines intersect.
From the given graph we can see that the two functions are intersecting at (–2,–4) and (4,8).
The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.
To learn more about the solution points for the system graph visit:
https://brainly.com/question/16339562.
#SPJ1
Help please with discussion
The sentence indicates that the increase in the value of a coin collection was exponential as such increase was continuous and constant in time. (Correct choice: A)
How to determine if a given relationship represents an exponential function
Exponential functions are trascendent expressions, these are, expressions that cannot be described algebraically, that are defined by the following expressions:
[tex]f(x) = a \cdot \left(1+ \frac {r}{100}\right)^{x}[/tex] (1)
Where:
a - Initial valuex - Independent variablef(x) - Dependent variabler - Increase rateExponential functions are used to represent constant continuous increases or decreases in terms of the independent variable. The sentence indicates that the increase in the value of a coin collection was exponential as such increase was continuous and constant in time. (Correct choice: A)
To learn more on exponential functions: https://brainly.com/question/11487261
#SPJ1
Select the correct answer. Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f? A. An exponential function passes through (0, minus 6), (0.5, minus 2), (1, 0), (2, 2), (5, 3) B. An exponential function passes through (minus 1, minus 2), (minus 0.5, 0), (0, 1), and (4, 3) C. An exponential function passes through (minus 5, 3), (minus 2, 2), (minus 1, 0), and (0, minus 6) D. An exponential function passes through (minus 4, 3), (minus 1, 3.8), and (0, 5)
The exponential function which passes through (0,-2),(1,0),(2,2) (5,3) is negative on the interval (-∞,1) and positive on the interval (1,∞).
Given Function f is negative on the interval (-∞,1) and positive on the interval (1,∞)
We have to find the statement for which the exponential function' s values are given.
First option is having the statement which says that exponential
function passes through points (0,-6)(0.5,-2),(1,0),(2,2) (5,3). These points are showing the domain and value of the function which is codomain.
for x=0 it has -6,
for x=1 it has 0,
for x=2 it has 2,
for x=5 it has 3.
for x=0.5 it has -2
The description says that value of function is negative in interval (-∞,1) and positive in (1,∞) which is true for option A as it has negative values of -2 for x=0 and for x=2,5 it has value of 2 and 3.
Hence the function f is an exponential function passes through (0, minus 6), (0.5, minus 2), (1, 0), (2, 2), (5, 3).
Learn more about function at https://brainly.com/question/10439235
#SPJ10
The probability distribution for a
random variable x is given in the table.
X
-5 -3 -2 0 2
Probability .17 .13
3
133 16 .11 .10
Find the probability that -2 ≤x≤2
Considering the distribution given in the table, the desired probability is:
[tex]P(-2 \leq X \leq 2) = 0.6[/tex]
What is the probability distribution given in the table?The distribution is:
P(X = -5) = 0.17.P(X = -3) = 0.13.P(X = -2) = 0.33.P(X = 0) = 0.16.P(X = 2) = 0.11.P(X = 3) = 0.10.The values between -2 and 2(inclusive) are -2, 0 and 2, hence the desired probability is:
[tex]P(-2 \leq X \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.6[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
Need help with this one can anyone help me?
mer School)
Applying the Addition Rule of Mutually Exclusive Even
A day of the week is randomly chosen. What is the probability of choosing Monday or a day that starts with t
S?
Try It
P(Monday) =
P(starts with S) =
P(Monday or starts with S) =
Step-by-step explanation:
a probability is always the number of desired cases over the number of total possible cases.
in this situation the number of total cases is 7 : days of the week.
the 3 probabilities just differ based on the number of desired cases.
P(Monday) : there is only one desired case out of the 7 possible ones. so, the probability is
1/7 = 0.142857143...
P(starts with S) : 2 desired cases (Saturday and Sunday).
so the probability is
2/7 = 0.285714286...
P(Monday or starts with S) : 3 desired cases (Monday, Saturday, Sunday).
so the probability is
3/7 = 0.428571429...
For an output level below Qg, the value of a unit to a buyer is
Suppose a firm that produces for this market is able to influence the market price, which leads to an outcome that differs from the free market
equilibrium shown in the previous graph. Such a situation is characterized by
, which is an example of
the cost of a unit to a seller.
Step-by-step explanation:
გჰჰბფჯ არ არის დაწერეთ პირველი კომენტარი არ არის დაწერეთ პირველი კომენტარი არ არის დაწერეთ პირველი
Which of these triangle pairs can be mapped to each other using a reflection and a translation? a Triangles L R K and A R Q are connected at point R. Triangle L R K is reflected across point R to form triangle A R Q. b Triangles L P K and Q R A are shown. Triangle L P K is reflected across a line to form triangle Q R A. Triangle Q R A is shifted to the right of triangle L P K. c Triangles L P K and Q R A are shown. Triangle L P K is shifted down and to the left to form triangle Q R A. d Triangles L P K and Q R A are shown. Triangle L P K is rotated to form triangle Q R A. Triangle Q R A is also shifted to the right.
The triangle pairs that can be mapped to each other using a reflection and a translation is; Option B
How to Interpret Triangle Transformations?Let us analyze each of the graphs;
Option A; This graph didn't use a reflection and a translation because we see that there was first a reflection across side QR and then another reflection across side AR.
Option B; This graph is correct as it made use of a reflection and a translation as seen in the attached graph.
Option C; This didn't use of a reflection and a translation because it instead carried out translation both in vertical and horizontal direction.
Option D; This carried out Translation and Rotation.
Read more about Triangle Transformations at; https://brainly.com/question/26261650
#SPJ1
Quick PLEASE! Fred wants to have $25 000 saved in ten years to help pay for a down payment on a house. How much would he have to invest today to have enough money in ten years if the investment offers an interest rate of 6.0% compounded monthly. Make sure to show all your work.
The amount he would invest today to have enough money in ten years if the investment offers an interest rate of 6.0% compounded monthly is $13740.79
Compound interestThe formula for calculating the compound interest is given as:
A = P(1+r/n)^nt
Given the following parameters
25000 = P(1+0.06/12)^12(10)
25000 = P(1+0.005)^120
25000 = P (1.005)^120
25000 = 1.8194P
P = 25000/1.8194
P = $13740.79
Hence the amount he would invest today to have enough money in ten years if the investment offers an interest rate of 6.0% compounded monthly is $13740.79
Learn more on compound interest here: https://brainly.com/question/24924853
#SPJ1
If np is greater than or equal to 5 and nq is greater than or equal to 5, estimate P (more than 9) with n=12 and p= 0.3 by using the normal distribution as an approximation to the binomial distribution, if np<5 or nq<5, then state that the normal approximation is not suitable
The normal approximation is not suitable as np<5.
Given,
mean = np
It turns out that if np and nq are both at least 5, the normal distribution can be used to approximate the binomial distribution. Additionally, keep in mind that a binomial distribution has a mean of np and variance of npq.
Hence apply the mean formula and get the value for np
n= 12 and p=0.
therefore mean = np
np = n×p
np = 12×0.3×
np = 3.6
np is less than 5.
nq=?
q=1-p
q=1-0.3
q=0.7
∴nq = 12 × 0.7
nq = 8.4
nq is not less than 5
It's remarkable that the normal distribution may accurately represent the binomial distribition when n, np and nq are large.
since here only nq is greater than five and np is less than five, therefore we conclude that normal approximation is not suitable.
Hence np<5 so normal approximation is not suitable.
Learn more about "normal distribution" here-
brainly.com/question/4079902
#SPJ10
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries negative 10, 0, 0, negative 4, negative 6, 0. Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)
The y-intercept of the continuous function in the table is (0, –6)
Data obtained from the questionColumn 1 (x): -4, -3, -2, -1, 0, 1Column 2 [f(x)]: 10, 0, 0, -4, -6, 0y-intercept coordinate =?How to determine the y-intercept coordinateTo determine the y-intercept coordinate, we must understand the y-intercept is a point on a graph where the line passes through the y-axis at x = 0.
With the above information in mind, we can easily obtain the y-intercept coordinate as follow:
From the the two columns given in the question, the value of y when x = 0 is -6.
Thus, the y-intercept coordinate is (0, -6)
Learn more about coordinate geometry:
https://brainly.com/question/4976351
#SPJ1