−x2 + x + 6 = 2x + 8 The equation is represented by the system shown here. Linear-Quadratic Equation This system intersects in place(s).
Answers
Answer:
#1: This system intersects in A: ✔ zero place(s).
#2: Which statement is true? C: There are no solutions.
Step-by-step explanation:
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This System of Quadratic equation is intersects at zero place.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The quadratic equation is,
- x² + x + 6 = 2x + 8
Now,
The quadratic equation is;
- x² + x + 6 = 2x + 8
x² + 2x - x + 8 - 6 = 0
x² + x + 2 = 0
So, The solution of the quadratic equation is solve as;
x = - 1 ± √1² - 4 × 1 × 2 / 2 × 1
x = -1 ± √1 - 8 / 2
x = - 1 ± √-7 / 2
x = - 1 ± √7i / 2
Clearly, It has no real solution do, it cannot cut at any point.
Therefore,
This System of Quadratic equation is intersects at zero place.
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Related Questions
match the equation with its corresponding solution for x. 6= -1/3x+5
Answers
Answer:
x=-3
Step-by-step explanation:
find the inverse of the function
f (x) = 15 + sqrt 5x - 5
Answers
[tex]15 + \sqrt{5x - 5} = f(x)[/tex]
Replace y for x and vice versa
[tex]15 + \sqrt{5y - 5} = x[/tex]
Solve for y.
[tex]15 + 5y - 5 = {x}^{2} [/tex]
[tex]15 + 5y = {x}^{2} + 5[/tex]
[tex]5y = {x}^{2} - 10[/tex]
[tex]y = \frac{ {x}^{2} - 10 }{5} [/tex]
[tex]f {}^{ - 1} (x) = \frac{ {x}^{2} - 10 }{5} [/tex]
If
A box has the shape of a rectangular prism with height 28 cm. If the
height is increased by 0.6 cm, by how much does the surface area of
the box increase?
28 στη
16 cm
3.4 cm
Use pencil and paper. Show your work. Then show a second way to
solve the problem. Explain which way you like better and why.
The surface area increases by cm2.
Answers
Answer:
23.16
Step-by-step explanation:
The table shows the types and numbers of prizes at a carnival game what is the ratio of stuffed animals to posters
Answers
Answer:
Step-by-step explanation:
3
please help will give brainliest
Answers
Answer:
The average rate of change is 44.
Step by step:
FIRST STEP:
[tex]\frac{(294-118)}{(6-2)}[/tex]
SECOND STEP:
[tex]\frac{176}{4}[/tex] = 44
9. Felix has a bucket of golf balls. The table shows the number of golf balls of each color in the bucket. Felix selects a golf ball at random. Based on the information in the table, which statement is true? * PLEASE HELP ME IM CONFUZZELD
Answers
Answer:
The golf ball is 2 times a likely to be orange as it is to be pink
Step-by-step explanation:
A. green = 18, pink+white+orange = 23
18 not > 23
B. pink [tex]\neq[/tex] white [tex]\neq[/tex] orange [tex]\neq[/tex] green
C. pink x 2 = orange?
4 x 2 = 8
D. white x 7 = green?
white = 11
green = 18
11 x 7 = 77 [tex]\neq[/tex] 18
Help please! I’ll give brainliest!
Answers
Answer:
B
Step-by-step explanation:
solution to the system is where they intercept
find the area of the diagram below
Answers
Answer:
220
Step-by-step explanation:
formula for area of a triangle is 1/2 base times height in this case thats 1/2(10X6) which is 30 sense there are 4 multiply 30 by 4 to get 120 then add that to the area of a square which is 10X10 or a hundred to get 220
This is the right way or the wrong answer
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Answer:
This is the right answer.
A polynomial with a degree of 3
Example: x^{3} +7
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Answer:
[tex]x^{3}-5x^{2}+2x+8[/tex]
Which of the following characteristics are true of all parallelograms? Select all that apply
Answers
Attributes of a parallelogram leads to, Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram.
Parallel sides with two opposed pair?Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram. They are, in this sense, two sets of parallel lines, which provides the framework for the parallelogram, which must have two parallel sides.Attributes of a parallelogram leads to, Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram. They are, in this sense, two sets of parallel lines, which provides the framework for the parallelogram, which must have two parallel sides.The complete question is,
Which of the following attributes of a parallelogram leads to the conclusion that every square can be categorized as a parallelogram? Choose each option that applies.
four equal sides
two pairs of diametrically opposed equal angles
diagonals are cut in half.
two sets of parallel, opposed sides.
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1. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,586kWh of electricity last year. Assuming that the population standard deviation is 2509kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? State the null and alternative hypotheses for the test.
2. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,446 kWh of electricity last year, Assuming that the population standard deviation is 2509 kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance? Compute the value of the test statistic.
A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
C. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
D. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
Answers
Answer:
Kindly check explanation for (1)
2.)
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
Step-by-step explanation:
1.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10586 ; population standard deviation, σ = 2509 ; α = 0.05
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10586 - 10290) ÷ (2509/√(153))
296 / 202.84062
Test statistic (Z) = 1.46
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.072
Pvalue > α ; Hence, we fail to reject the Null ; there isn't sufficient evidence to support the power company's claim
2.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10446 ; population standard deviation, σ = 2509 ; α = 0.02
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10446 - 10290) ÷ (2509/√(153))
156 / 202.84062
Test statistic (Z) = 0.769
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.221
Pvalue > α ; Hence, we fail to reject the Null ;
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
Radius of a circle is 5 cm
Length of a rectangle is 9.2 cm
Width is 4 cm
Area of the shaded region is
A. 36.5 cm B. 41.7 cm2 C. 42.6 cm2
D. 48 cm2
Answers
Answer:
the answer is (b.)41.7cm²
the workings;;
9.2cm×4cm+5cm=41.8 or 41.7cm²
A machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long. What is the total length needed in inches?
Answers
The total length needed in inches will be 490.5 inches.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long The total length needed in inches will be:
= (3 ft 4 7/8 inch × 12)
Note that 1 feet = 12 inches
= (12 × 3) + (4 7/8) × 12
= (36 + 4.875) × 12
= 490.5 inches
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The equation of a ellipse is given below.
Graph the ellipse find the center, vertices, foci, and equation of major axis.
(y+5)^2/9 + (x+5)^2/25 = 1
Answers
Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).
Explain the equation.An equation is a mathematical representation of two identical variables, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra is the fundamental building block of mathematics.
Here,
[tex](x + 2)^{2}[/tex] / [tex]a^{2}[/tex] + [tex](y-5)^{2}[/tex] /[tex]b^{2}[/tex] -=1 is (h, k).
the ellipse's nucleus
The major axis is the larger of the two axes, which are 2a and 26.
(H, a, k) and (H, k, b) are the vertices. Vertices are those along the major axis in this case, and covertices are those along the minor axis.
[tex](x + 2)^{2}[/tex]/16 + [tex](y-5)^{2}[/tex] /20 =1
can be written as
[tex](x + 2)^{2}[/tex]/ [tex]4^{2}[/tex] + [tex](y-5)^{2}[/tex] /(2√/5)2
hence centre is (-2, 5), maor axis is 2 x 2√√5 = 4√√5 and minor axis
is 2 x 4 = 8
Vertices are ( 2,5 25), or ( 2,5 25) and ( 2,5 + 25), while covertices are ( 2 4, 5) and ( 6,5), respectively.
As a result of the presence of a vertical major axis, eccentricity e and focii are
(h, k ± be). e is given by the relation a2 = b2(1 − e2) i.e.
=> e = [tex]\sqrt{1 - \frac{a^{2} }{b^{2}} }[/tex]
a2= 16 and b2= 62
=> e = 1/√5
Focii (-2,5 ± (2√5 x 1/√5)
or (-2,5±2) i.e. (-2, 7) and (-2, 3).
Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).
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The ratio of men to women working for a company is 6 to 5 . If there are 105 women working for the company, what is the total number of employees?
Answers
Answer:
231 employees
Step-by-step explanation:
The ratio of men to women working for the company is 6 to 5, which means that for every 5 women working at the company, there are 6 men working at the company.
Since there are 105 women working at the company,
there are 6/5 * 105 = 126 men working at the company.
In total, there are 126 men + 105 women = 231 employees working for the company.
what is the experimental probability of spinning a white or yellow?
PLEASE PLEASE PLEASE HURRY ITS DUE TOMORROW!!!!!!
yellow / 5
blue / 12
green / 8
white / 9
red / 6
Answers
The experimental probability of spinning a white or yellow is 7/20
How to determine the experimental probability of spinning a white or yellow?From the question, we have the following parameters that can be used in our computation:
Outcomes of experiments
The outcomes of experiments are given as
yellow / 5
blue / 12
green / 8
white / 9
red / 6
The experimental probability of spinning a white or yellow can be calculated using the following equation
P(White or Yellow) =P(White) + P(Yellow)
Substitute the known values in the above equation, so, we have the following representation
P(White or Yellow) = (9 + 5)/5 + 12 + 8 + 9 + 6)
Evaluate the sum
P(White or Yellow) = 14/40
Simplify
P(White or Yellow) = 7/20
Hence, the probability is 7/20
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Bismah is building 5 raised garden beds in a community garden. Each raised
garden bed will need 1 7/8 bags of soil. How many bags of soil will Bismah need for
8
all 5 raised garden beds?
5 5/8bags of soil
9 3/8 bags of soil
9 5/8 bags of soil
8 7/8 bags of soil
5 3/8 bags of soil
Answers
The fraction of soil bags Will needs in total for all 5 raised garden beds is 9 3/8.
What is community?In mathematics, community is the study of how objects interact and relate to each other. It focuses on analyzing the relationships between elements and understanding how they interact to form each other. Also explore how changes in one element affect other elements. Community in mathematics is also about recognizing patterns, finding solutions, and exploring the impact of change. It is an integral part of mathematics and is used in many areas of study such as algebra, geometry, and calculus. This can be calculated by multiplying the number of raised beds (5) by the amount of soil required per raised bed.
(1 7/8 bag).
5 x 1 7/8
= 9 3/8 bags
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If s is directly proportional to t, and s = 30 when t = 15, find t when s = 64.
Answers
Step-by-step explanation:
please refer to sketch for detail
Nancy earns Rs. 25,00,000 in 5 months. what is her annual salary
Answers
Explained:
If Nancy earns 25000000 in 5 months you divide it by 5 to find what she earns in 1 month which gets you 5000000, since there is 12 months in an annum(year) you times the 5000000 by 12 getting you 120,000,000
Answer:
You would first divide the amount of months by the total amount of money that she has earned in 5 months.
(You put down 25, 00, 000 so Ima just write it as 2,500,000)
25,000,000/5 = 5,000,000
She earns 5,000,000 a month, and would earn 60,000,000 per year.
Anual salary is how much money you would earn per year, so the answer is 60,000,000. (sixty million).
Step-by-step explanation:
Hope it helps! =D
Is this a right triangle? How do you know?
Answers
Answer:
Yes, Pythagorean theorem
Step-by-step explanation:
Yes, as by doing the Pythagorean theorem, a^2+b^2=c^2 you can confirm that it is.
8^2+15^2=17^2
64+225=17^2
289=17^2
(square root both sides)
17=17
can you guys help me!!!! Question 3
Calculate the average reading for all three trials for both the wet bulb and dry bulb
thermometers.
Convert the average temperatures for both thermometers to Celsius using this
formula:
(°F - 32) °C
wet bulb temp: 62.8, 60.0, 61.0
dry bulb temp: 64.5, 64.4, 64.3
Answers
Answer:
F = ( 9/5) X c + 32
Step-by-step explanation:
Students at a local university have the option of taking freshman seminars during their first year in college. A survey of the freshmen revealed the following: Among the social science majors, 50% chose to take a freshman seminar; among the humanities majors, 65% chose to take a freshman seminar; and among the physical science majors, it was 30% . Freshmen make up 32% of undergraduates. The probability of taking a freshman seminar, if a student is a science major, is:
Answers
complete question
the probability of taking a freshman seminar, if a student is a science major, is:
a) a total probability.
b) a conditional probability.
c) a complete probability.
d) a joint probability.
Answer:
B. Conditional probability
Step-by-step explanation:
In this given question, what we ant to do is to find the probability thst a student who is a science major is taking a freshman seminar. This clearly a case of conditional probability.
In a conditional probability, we are trying to find out the probability of an event occurring given that another event has already occurred. since the student is a science major, the probability of the student taking a freshman seminar is to be determined.
There are 7 women and 9 men with a chance to be on a game show. The producer of the show is going to choose 7 of these people at random to be contestants. What is the probability that the producer chooses 4 women and 3 men? Round your answer to three decimal places.
Answers
Answer:
147/572
Step-by-step explanation:
The number of combinations of n things chosen r at a time is
[tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex] (Some writers use the symbol [tex]_nC_r[/tex])
Choose 4 women from the 7:
[tex]\binom{7}{4}=\frac{7!}{4!(7-4)!}=35[/tex] ways
Choose 3 men from 9:
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=84[/tex] ways
There are 35 x 84 = 2940 ways to choose both, out of
[tex]\binom{16}{7}=\frac{16!}{7!(16-7)!}=11440[/tex] ways to choose any 7 people from the group of 16.
Probability:
[tex]\frac{2940}{11440}=\frac{147}{572}[/tex]
P.S. As an example of how to calculate combinations, here's the calculation (by hand, a calculator is easier!) of [tex]\binom{9}{3}[/tex].
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}[/tex]
When you write out the factorials, you can do a bunch of cancellation between the numerator and denominator.
[tex]\frac{9\cdot8\cdot7\cdot\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1)}}=\frac{9\cdot8\cdot7}{3\cdot2\cdot1}=84[/tex]
ANSWER ASAP FOR POINTS AND BRAINIEST!!
Answers
Answer:
(a) 552ft
(b) $220.8
Step-by-step explanation:
(a) TSA of cuboid = 2 (lb + bh + hl)
= 2 (12*8+8*9+9*12) = 2 ( 276) = 552 square feet.
(b) Cost of covering the box = $0.40 * 552 feet
= $220.8
Need it ASAP, please!!!
Answers
Answer:
27y - 45 + 7z
need help asappppppp
Answers
Answer:
hypotenuse
Step-by-step explanation:
Answer:
I believe it is D hypotenuse
Step-by-step explanation:
In geometry, a hypotenuse is the longest side of a right-angled triangle.
Rachel has 13 books and some empty boxes. She can put 4 books in each box. How many boxes can she fill completely?
How many books will be left over?
Answers
Answer:
she can fill 3 boxes completely and one book will be left over
Step-by-step explanation:
if a box can be filled with 4 book then we do 4 multiply 3 and then 12 books will can fill 3 box and there is 13 books so 1 book will be left over
Step-by-step explanation:
- Set up a proportion using the information given. For instance, 4/1 = 13/x.
- Cross multiply. This should give you 4x = 13.
- Divide 4 on both sides to get the x alone. This should give you x = 3.25. But since you can't have 3.25 boxes, you'll have 3 boxes filled completed. If you do the math 4 books x 3 boxes that, would you 12 books meaning 12 books fit in 3 boxes. Therefore, 1 book would be left over.
Angelique has a bag that contains six red marbles and four blue marbles and 14 yellow marbles if she chooses one marble from the bag what is the probability that marble is not yellow
Answers
Answer:
33.3% that the marble is not yellow
A certain retail store bases its staffing on the number of customers that arrive during certain time slots. Based on prior experience this store expects 32% of its customers between 8:00 am and 12:00 pm; 21% of its customers between 12:00 pm and 4:00 pm; 35% of its customers between 4:00 pm and 8:00 pm; and 12% of its customers between 8:00 pm and midnight. On a certain day, the store had 214, 198, 276, and 134 customers in those time slots, respectively. Should the store change its staffing? What was wrong with this solution?
Answers
Answer:
Step-by-step explanation:
Based on the data gathered on that certain day, I would say NO, the store does not need to change its staffing. The data shows that the percentages calculated by the store are extremely close to the actual percentage of people that arrived at those given hours throughout the day. The problem with this solution is that it does not take into account special circumstances, such as specific days, events, holidays, new popular items, etc. All of these can drastically affect the number of people that enter the store at a given time.
1. The retail store should not change its staffing arrangement.
2. Changing the staffing arrangement may not favor the retail store.
Data and Calculations:
8:00 am & 12:00 pm & 4:00 pm & 8:00 pm &
12:00 pm 4:00 pm 8:00 pm midnight
Expected % of customers 32% 21% 35% 12%
Actual number of customers 214 198 276 134
Total Number of customers = 822 (214 + 198 + 276 + 134)
Actual % of customers 26% 24% 34% 16%
Difference between expected percentage of
customers and actual 6% 3% 1% -4%
Variation 0.36% 0.09% 0.01% 0.16%
Sum of variation = 0.62%
Standard Deviation = 0.787
Thus, based on the standard deviation, the store should not change its staffing.
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