Select the correct answer.
Which set of coordinates satisfies the equations x − 2y = -1 and 2x + 3y = 12?
A.
(1, 2)
B.
(3, 1)
C.
(3, 2)
D.
(-3, -2)
E.
(3, -2)
Answers
The set of coordinates that satisfy the equation are as follows:
(2, 3)
How to solve equation?The equation given is as follows:
x - 2y = -1
2x + 3y = 12
Therefore, let's find the set of coordinates that satisfies the equation. Hence,
x - 2y = -1
2x + 3y = 12
multiply equation(i) by 2
Hence,
2x - 4y = -2
2x + 3y = 12
Therefore, subtract the equations
7y = 14
divide both sides of the equation by 7
y = 14 / 7
y = 2
Let's find x as follows
x - 2y = -1
x = -1 + 2(2)
x = -1 + 4
x = 3
Therefore, the solution is (2, 3)
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Related Questions
what is -2 x 3 i do not understand this and this is my last problem
Answers
Answer:
-6
Step-by-step explanation:
if they were both positive numbers, it would be 6. But when you multiply a negative by a positive, the answer is negative.
Answer:
-6
Step-by-step explanation:
When you multiply a positive number by another positive number, you will always get a positive number as your answer. Same thing for negative. If you multiply a negative by a negative, you will always get a positive. However, when you multiply a negative by a positive, you will always get a negative number.
Since you know this, you can multiply 2 by 3, which is 6. Because 2 is negative and 3 is positive, you know that the answer must be negative. Therefore, you add the negative symbol to 6, giving you -6.
I hope this isn't too confusing. Please let me know if you have any more questions. Good luck!
How many terms are in each factor of this expression if the expression is 5(6+4x)
Answers
Answer: 3 terms
Step-by-step explanation:
1 like term 1 coefficent and one other term.
I hope this helps!
(f o g)(x) = x(g o f)(x) = xwrite both domains in interval notation
Answers
the fact that both functions are polynomial of degree 1 we get that the domain and range of both functions are the real numbers. In intervalo notation this is:
\(\begin{gathered} \text{domain:}(-\infty,\infty) \\ \text{range:}(-\infty,\infty) \end{gathered}\)Classify the following triangle as acute, obtuse, or right.
70-
A
55
55:
A. Acute
B. Obtuse
C. Right
D. None of these
Answers
I need the area choices below
Answers
Answer:
Area of the shape is 244.98cm² is B
Step-by-step explanation:
Area of shape=Area of semi circle+Area of trapezoid
A=1/2 πr² + 1/2(a+b)h
A=1/2×3.142×7² + 1/2(14+18)10.5
A=1/2×3.142×49 + 1/2×32×10.5
A=76.98+168
A=76.98+168
A=244.98cm²
Use the information to answer the question.
Miranda is making a vegetable salad. She adds 2 cups of cucumbers, 4 cups of carrots, and some cherry tomatoes. Then, Miranda puts all of the
salad into 5 bowls. She puts cups into each bowl.
How many cups of cherry tomatoes did Miranda put in the vegetable salad? Enter the answer in the box.
cups
Answers
Answer:
Step-by-step explanation:
The equation is poorly written and I cannot unfortunately solve it.
12.A T.V. is sold for Rs. 17,280 at a profit of 20%. Find the cost price of the T.V.
Answers
Answer:
Rs. 13,824
Step-by-step explanation:
20% of Rs. 17,280
= Rs.3456
Rs.17,280- Rs.3456
=Rs.13,824
Answer:
14400
Step-by-step explanation:
If 120%=17280
.100%=??
100%×17280/120
=1440×10=14400
9. The graph of which the following equations has x-intercepts of 4 and -4?
(1 Point)
O y + 4 = x
O y - 4 = x
O y + 16 = x2
O x + 16 = y2
Answers
The first two each work with one of the points, but not the other, so they’re not the answer.
The last one doesn’t work for either point.
The third one, y+16=x^2, works for both.
0 + 16 = (4)^2 is true.
0 + 16 = (-4)^2 is true.
Data collected by emergency responders in a large city suggest that on averagethere are 6.9 drug overdoses per night.(a) What is the probability that there are 3 drug overdoses in a random night(please round to 3 decimal places)?(b) What is the probability that there are at most 3 drug overdoses in a randomnight (please round to 3 decimal places)?Quartion HelpMessage instructor
Answers
Answer
a) Probability that there are 3 drug overdoses in a random night = 0.055
b) Probability that there are at most 3 drug overdoses in a random
night = 0.087
Explanation
The Poisson distribution will be used to solve this one.
The Poisson distribution is given as
\(P(X=x)=\frac{(e^{-\mu})(\mu^x)}{x!}\)where
x = actual variable whose probability we want to find = 3 drug overdoses in one night
μ = mean of the distribution = 6.9 drug overdoses per night
\(\begin{gathered} P(X=x)=\frac{(e^{-\mu})(\mu^x)}{x!} \\ P(X=3)=\frac{(e^{-6.9})(6.9^3)}{3!}=0.055 \end{gathered}\)b) For the probability of at most 3 drug overdoses in one night,
P (X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
For each of them,
μ = 6.9
But for x, we will calculate for each of them using
x = 0, x = 1, x = 2, x = 3
\(\begin{gathered} P(X=x)=\frac{(e^{-\mu})(\mu^x)}{x!} \\ P(X=0)=\frac{(e^{-6.9})(6.9^0)}{0!}=0.00101 \\ P(X=1)=\frac{(e^{-6.9})(6.9^1)}{1!}=0.00695 \\ P(X=2)=\frac{(e^{-6.9})(6.9^2)}{2!}=0.02399 \\ P(X=3)=\frac{(e^{-6.9})(6.9^3)}{3!}=0.0552 \end{gathered}\)P (X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
P (X ≤ 3) = 0.00101 + 0.00695 + 0.02399 + 0.0552 = 0.08714 = 0.087
Hope this Helps!!!
Find the area of the sector of a circle with diameter 32 feet and an angle of 7Pi/4
radians.Round your answer to four decimal places.
Answers
Answer:
703.7168 ft²
Step-by-step explanation:
Use the sector area formula, a = 1/2r²θ
If the diameter is 32 feet, then the radius is 16 feet.
Plug in the radius and angle measure into the formula, and solve:
a = 1/2r²θ
a = 1/2(16)²(7\(\pi\)/4)
a = 703.7168
So, the area of the sector is 703.7168 ft²
A manufacturer of electronic kits has found that the mean time required for novices to assemble its new circuit tester is 3 hours, with a standard deviation of0.20 hours. A consultant has developed a new instruc- tional booklet intended to reduce the time an inexpe- rienced kit builder will need to assemble the device. In a test of the effectiveness of the new booklet, 15 nov- ices require a mean of 2.90 hours to complete the job. Assuming the population of times is normally distrib- uted, and using the 0.05 level of significance, should we conclude that the new booklet is effective? Determine and interpret the p-value for the test.( DATA SET ) Note: Exercises 10.33 and 10.34 require a computer and statistical software.
Answers
Testing the hypothesis using the z-distribution, it is found that since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.
At the null hypothesis, we test if there has been no improvement, that is, the time is still of 3 hours. Hence:
\(H_0: \mu = 3\)
At the alternative hypothesis, we test if there has been improvement, that is, the time is of less than 3 hours. Thus:
\(H_1: \mu < 3\)
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean.\(\mu\) is the value tested at the null hypothesis.\(\sigma\) is the standard deviation of the population.n is the sample size.In this problem, the values of the parameters are: \(\mu = 3, \sigma = 0.2, \overline{x} = 2.9, n = 15\).
Then, the value of the test statistic is:
\(z = \frac{2.9 - 3}{\frac{0.2}{\sqrt{15}}}\)
\(z = -1.94\)
The p-value of the test is the probability of finding a sample mean of 2.9 hours or less, which is the p-value of z = -1.94.
Looking at the z-table, z = -1.94 has a p-value of 0.0262.
Since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.
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Ray bought 3 red balloons, 8 green balloons, 6 blue balloons, 2 yellow balloons, & 5 purple balloons. Write a ratio with a colon to show the number of green balloons to total balloons.
Answers
Answer:
First, lets see how many ballons in total. 8 + 3 + 6 + 2 + 5 = 24
there are 8 green so
8:24
Step-by-step explanation:
Find the common ratio of the geometric sequence 7,63,567, ...
Answers
Answer:
Step-by-step explanation:
Answer: 9
Step-by-step explanation: a, ar, ar^2... a=7, ar=63. solving with substitution gives the common ratio of 9!
A box measures 4 inches by 2 inches by 6 inches .Find the volume of the box in cubic centimeters
Answers
Answer:
121.92 cm cubed
Step-by-step explanation:
all you have to do is multiply all 3 measurements to find the simple shapes volume, and then convert to centimeters using the simple 2.54 cm=1 in conversion rate
Answer:
1/36 cubic ft
Step-by-step explanation:
4 inches = 12/3 inches = 1/3 ft
2 inches = 12/6 inches = 1/6 ft
6 inches = 12/2 inches = 1/2 ft
Select the TRUE statement for completely random design.
a.)The experimental units are assigned randomly to exactly one control group and one treatment group.
b.)The experimental units are assigned randomly to one or more control groups and exactly one treatment group.
c.)The experimental units are assigned randomly to one or more control groups and one or more treatment groups.
d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups.
Answers
Answer:
d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups
Step-by-step explanation:
Completely randomized design can be regarded as a type of experimental design in which the experimental units are assigned randomly for different treatments. This experimental design is utilized in cases whereby experimental units are seen to be “uniform" this implies that no uncontrolled factor in the experiment. completely randomized designs are engaged in studying effects of one primary factor by ignoring other nuisance variables it perform comparison of values of a response variable taking into account of the different levels of that primary factor. It should be noted that in completely random design, the experimental units are assigned randomly to exactly one control group and one or more treatment groups
There is only one square whose perimeter and area is same. What is the length of each side of this square?
1) 5
2) 6
3) 3
4) 4
Answers
Answer:
4) 4
Step-by-step explanation:
A square with side lengths of 4 units will have the same perimeter and area.
4^2=16 square units
4*4=16 units
If g(x) = 1-3/4x; Find -5 * g(4) - 1
Answers
-20g-1
In 2011, 51% of cell phone owners in a country reported that their cell phone was a smartphone. The following year, the researchers wanted to test to see if the proportion of cell phone owners in that country who have a smartphone has increased over time at the a = 0.05 level. They surveyed a random sample of 934 cell phone owners in that country and found that 501 of them had a smartphone. They conducted a significance test and found the p-value to be 0.0532. Is there convincing evidence that the proportion of cell phone owners in that country who have a smartphone has increased over time?
Answers
Answer:
The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance
The null hypothesis is accepted at a 0.05 level of significance
The proportion of cell phone owners in that country who have a smartphone has not increased over time
Step-by-step explanation:
Step(i):-
Given that the random sample size 'n' = 934
Given that the population proportion P = 0.51
Q= 1-P
Q = 1- 0.51 = 0.49
The sample proportion
\(p = \frac{x}{n} = \frac{501}{934} = 0.5364\)
Level of significance = 0.05
Critical value Z₀.₀₅ = 1.96
Step(ii):-
Null hypothesis: P < 0.51
Alternative Hypothesis : P > 0.51
Test statistic
\(Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }\)
\(Z = \frac{0.536-0.51}{\sqrt{\frac{0.51 x 0.49}{934} } }\)
Z = 1.5950
Final answer:-
Given that P-value 0. 0532
P-value > 0.05
Rejected Alternative Hypothesis and accepted null hypothesis
( OR)
The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance
The null hypothesis is accepted at a 0.05 level of significance
The proportion of cell phone owners in that country who have a smartphone has not increased over time
Pls help mee
Show your work pls not just the answer thank you
If five people share three cartons of chow mein, what is each person's share?
Answers
Answer:
1.6 is how much each person gets
hope this will helpful to you
What is the value of 4x10 with the exponent of 2 sorry I'm not good at exponents?
Answers
Answer:
Step-by-step explanation:
4 x 10^2 = 4 x 100 = 400
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Question Progress
Homework Progress
22/44 Marks
Round the number 125.3546 to 1 decimal place.
Answers
Answer:
125.4
Step-by-step explanation:
Given
\(Number = 125.3546\)
Required
Round to 1 decimal place
Up till the first decimal place, the number is:
\(Number = 125.3\)
The digit after .3 is 5
The conditions for approximation are:
If n > 4, approximate to 1Else: approximate to 0In this case: 5 > 4, so we approximate to 1
Add this "1" to the last digit of 125.3. This becomes 125.4
Hence: when the number is approximated to 1 decimal place, the digit is 125.4
if y is directly porportional to x^2 and the difference in the values of y when x=1 and x=3 is 32, find the value of y when x=-2
Answers
Answer:
Step-by-step explanation:
y=kx²
y₁=k(1)²=k
y₃=k(3)²=9k
y₁-y₃=k-9k=32
-8k=32
k=-4
y=-4x²
y₋₂=-4(-2)²=-16
A clothing eCommerce company has an Average Order Value of USD 65. It costs the company USD 35 to produce the clothes in the average order and USD 15 to ship it to the customer. What is the Average Order's Gross Profit?
USD 65
USD 30
USD 15
USD 50
Answers
The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.
For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;
⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit
⇒ Gross Profit = USD 65 - USD 35 - USD 15
⇒ Gross Profit = USD 15
Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.
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Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
Answers
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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I'll Give brainliest to whoever answers is correct
Answers
Answer:
52
Step-by-step explanation:
RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.
Answer:
52 degrees
Step-by-step explanation:
right angle = 90
90-38=52
So RTQ = 52 degrees
Solve:(6x^2+5x+1)÷(x+2)
Answers
Answer:
6x+6x2+3
Step-by-step explanation:
6x2+5x+1+x+2
Combine 5x and x to get 6x.
6x2+6x+1+2
Add 1 and 2 to get 3.
6x2+6x+3
show work if possible
Answers
Answer:
B. 14,525
Step-by-step explanation:
If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:
$35 x 415 = $14,525
Therefore, the answer is B. $14,525.
r=p/4(c+k) for k, please help, thank you!
Answers
Answer:
\(k=\frac{-cp+4r}{p}\)
Step-by-step explanation:
\(r=p/4(c+k)\)
\(\frac{r}{p/4} =c+k\)
\(\frac{r}{p/4} -c=k\)
\(-cp+4r=kp\)
\(\frac{-cp+4r}{p} =k\)
2s + 4 = 20
s = what
Answers
Given f(x) = x² - 5x - 6 and g(x) =
x² - 6x, what are the domain restrictions
for (-)(x)?
A) x # +6
B) x = 0
C) x = 0,6
D) x = -2,6
Answers
The domain restrictions for (f/g)(x) are (c) x = 0, 6
How to determine the domain restrictions for (f/g)(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = x² - 5x - 6
g(x) = x² - 6x
The composite function (f/g)(x) is calculated as
(f/g)(x) = f(x)/g(x)
substitute the known values in the above equation, so, we have the following representation
(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)
For the domain restriction, we have
x² - 6x = 0
When solved, we have
x = 6 or x = 0
Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6
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Question
Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions
for (f/g)(x)?
A) x = +6
B) x = 0
C) x = 0,6
D) x = -2,6