The system y = 3x + 4 and 6x - 2y = 8 has no solutions.
A system of equations is a set of equations with multiple variables. To determine the number of solutions for a system of equations, one can use the following methods: graphing, substitution, or elimination. In this case, we can use the elimination method by adding or subtracting the equations to eliminate one of the variables.
If we add the two equations, we get y = 3x + 4 + 6x - 2y = 8, which results in 3x + 4 = 8. This is an inconsistent equation and does not have any solutions. Therefore, the system y = 3x + 4 and 6x - 2y = 8 has no solutions.
This shows that the system is inconsistent, which means that there's no solution that satisfies both equations.
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A certain star is 5.5 times 10 to the second power light years from the Earth. One light year is about 5.9 times 10 to the twelth power miles. How far from the earth (in miles) is the star?
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Answer:
Step-by-step explanation:
3.245e+13
What is the degree of the polynomial 7x³ 5x 4x³ 2x²?
The degree of the polynomial 7x³ 5x 4x³ 2x² is 3.
The degree of a polynomial is the highest power of x in the polynomial.
In this case, the polynomial is 7x³ 5x 4x³ 2x², and the highest power of x is x³. This means that the degree of this polynomial is 3.
It's important to note that when working with polynomials it's important to pay attention to the signs of the coefficients. In this case, we have 7x³, 5x, 4x³, 2x². The x³ term has the highest degree and it's coefficient is 7, the x term has the second highest degree and it's coefficient is 5, the x³ term has the same degree as the first x³ term, but the coefficient is different, and the x² term has the fourth highest degree and it's coefficient is 2.
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Which equation with exponential expression are true?
Answer: B,D
Step-by-step explanation:
Which statement correctly uses limits to determine a vertical asymptote of g (x) = StartFraction negative 7 (x minus 5) squared (x + 6) Over (x minus 5) (x + 5) EndFraction There is a vertical asymptote at x = 5, because Limit of g (x) as x approaches 5 minus = infinity and limit of g (x) as x approaches 5 plus = negative infinity There is a vertical asymptote at x = 5, because Limit of g (x) as x approaches 5 minus = negative infinity and limit of g (x) as x approaches 5 plus = infinity There is a vertical asymptote at x = –5, because There is a vertical asymptote at x = –5, because
Answer:
D
Step-by-step explanation:
edge i graphed it on desmos
Vertical asymptote concept used to solve this question. First, I explain the concept, and then, you use it to solve the question.
Using this, we get that the correct option is:
There is a vertical asymptote at x = –5, because limit of g(x) as x approaches -5 minus = negative infinite and limit of g(x) as x approaches -5 plus, it is positive inifnite.
Vertical asymptote:
A vertical asymptote is a value of x for which the function is not defined, that is, it is a point which is outside the domain of a function;
In a graphic, these vertical asymptotes are given by dashed vertical lines.
An example is a value of x for which the denominator of the function is 0, and the function approaches infinite for these values of x.
The fraction is:
[tex]g(x) = -\frac{7(x-5)^2(x+6)}{(x-5)(x+5)}[/tex]
Simplifying:
The term (x-5) is present both at the numerator and at the denominator, and thus, the function can be simplified as:
[tex]g(x) = -\frac{7(x-5)(x+6)}{x+5}[/tex]
Vertical asymptote:
Point in which the denominator is 0, so:
[tex]x + 5 = 0[/tex]
[tex]x = -5[/tex]
Now, we take a look at the graphic of the simplified function, given at the end of this answer.
You can see that as x approaches -5 to the left, that is -5 minus, the function goes to minus infinite, and as x approaches -5 to the right, that is, -5 plus the function goes to plus infinite, and thus, the correct answer is:
There is a vertical asymptote at x = –5, because limit of g(x) as x approaches -5 minus = negative infinite and limit of g(x) as x approaches -5 plus, it is positive inifnite.
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Solve each system by elimination
-3x-6y=-3
5x+5y=0
Answer:
x=1 and y=−1
Step-by-step explanation:
Multiply the first equation by 5,and multiply the second equation by 6.
5(−3x−6y=3)
6(5x+5y=0)
Becomes:
−15x−30y=15
30x+30y=0
Add these equations to eliminate y:
15x=15
Then solve15x=15for x:
15x=15
15x
15
=
15
15
(Divide both sides by 15)
x=1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
−3x−6y=3
Substitute1forxin−3x−6y=3:
(−3)(1)−6y=3
−6y−3=3(Simplify both sides of the equation)
−6y−3+3=3+3(Add 3 to both sides)
−6y=6
−6y
−6
=
6
−6
(Divide both sides by -6)
y=−1
On average a bird visits 950 flowers per day for nectar how many flowers does the bird visit in an hour Round your answer to the nearest whole flower. B how many flowers does the bird visit in a year
So, the bird visits 40 flowers per hour and approximately 347,750 flowers per year.
A. On average, a bird visits 950 flowers per day. To find the number of flowers visited per hour, we divide 950 by 24 (the number of hours in a day). This gives us approximately 39.58 flowers per hour. Rounded to the nearest whole flower, the bird visits 40 flowers per hour.
B. To find the number of flowers visited in a year, we multiply the number of flowers visited per day (950) by the number of days in a year (365). This gives us approximately 347,750 flowers visited per year.
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PLs anwser this go see attachement
Answer: 157.1
Step-by-step explanation:
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
D
Step-by-step explanation:
For a quadratic equation ax² +bx +c= 0, the quadratic formula is as below:
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
x² -12x +7= 0
[tex]x = \frac{ - ( - 12)± \sqrt{( - 12) {}^{2} - 4(1)(7) } }{2(1)} [/tex]
[tex]x = \frac{12± \sqrt{144 - 28} }{2} [/tex]
[tex]x = \frac{12± \sqrt{116} }{2} [/tex]
[tex]x = \frac{12± \sqrt{4(29)} }{2} [/tex]
[tex]x = \frac{12±( \sqrt{4})( \sqrt{29} )}{2} [/tex]
[tex]x = \frac{12±2 \sqrt{29} }{2} [/tex]
[tex]x = 6± \sqrt{29} [/tex]
[tex]∴x = 6 + \sqrt{29} \: \: \: or \: \: \:x = 6 - \sqrt{29}[/tex]
c=⟨–5,8⟩ and d=⟨7,4⟩, find –4c–4d.–4c–4d=
PLEASE ANSWER QUICK!!!
Answer:
(0,5) and (1,0)
Step-by-step explanation:
if m LJK=28 what is m MLK
Answer:
if LJK is 28, then by using the triangle sum theorem, JLK is 62. because the triangles are congruent,( angle+side+hypotneus/HL), JLK is congruent to JLM, so you add them together and get 62+62=124 = MLK. I'm pretty sure thats the right answer, might want to go over that.
Twenty nine percent of the 50,000 spectators at a Liverpool football match are wearing red t-shirts.
How many people are wearing a red t-shirt?
Answer:
Number of people wearing a red t-shirt= 14,500
Step-by-step explanation:
Giving the following information:
Number of people= 50,000
Percentage of people using red t-shirt= 29%
To calculate the number of people wearing a red t-shirt, we need to use the following formula:
Number of people wearing a red t-shirt= number of people*percentage of people wearing a red t-shirt
Number of people wearing a red t-shirt= 50,000*0.29
Number of people wearing a red t-shirt= 14,500
hellpp me plssss :( NO LINKS!
Answer: the perimeter of the garden is 24 and the area of the garden is 32
Step-by-step explanation:
Perimeter: 4 + 4 + 8 + 8 = 24
Area: 4 x 8 = 32
I NEED HELPPPPPPP
Anita needs to construct ten cones for a class project. How many square feet of material will she need? Use 3.14 for π. Enter your answer in the box.
Answer:
Since she needs 10 cones:
10 * 116.52 sq. ft = 1,165.2 sq ft.
She will need 1,165.2 sq ft of material.
Step-by-step explanation:
There are 80 oranges and apples, and 5% of them are apples. William takes out some of the oranges, so apple make up 20% of the remaining pieces of fruit. How many oranges did he take out
HELP PLEASE!! this is 8th grade math btw
Answer:
the 2nd one
Step-by-step explanation:
6. If l // k and k // m, then
Answer:
If l //k and k// m then L//mSo, option D is your answer
Step-by-step explanation:
If 2 lines are parallel to A Third line, then the 2 lines are parallel.
[tex]------------[/tex]
hope it helps..
have a great day!!
Wilbur left school and drove toward the town hall at an average speed of 30 mph. Jack left sometime later driving in the same direction at an average speed of 75 mph. After driving for two hours Jack caught up with Wilbur. How long did Wilbur drive before Jack caught up.
Wilbur drove for 5 hours before Jack caught up with him.
How to calculate the distance?Based on the information, the distance = (Wilbur's speed) x (time) = (Jack's speed) x (time + (time Wilbur drove))
We know that Jack's speed is 75 mph, and that he caught up with Wilbur after 2 hours. We also know that the distance covered by Jack is the same as the distance covered by Wilbur.
So we can write:
distance = (Wilbur's speed) x (time) = (Jack's speed) x (2 hours)
We are given that the Wilbur's speed is 30 mph, so we can substitute that in the above equation:
distance = 30 mph x (time) = 75 mph x 2 hours
Then we can solve for time by dividing both sides of the equation by 30:
time:
= (75 mph x 2 hours) / 30 mph
= 5 hours
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PLS HELP! THANKS!
look at image I provided.
Answer:
m = 8h
Step-by-step explanation:
For any given h value (number of hours), the m value is h * 8. For example, after 2 hours, she has earned 16 dollars. h is 2 and h * 8 = 16.
Answer:
m = 8h
Step-by-step explanation:
She earns 8 dollars per hour.
For example:
If she worked for 5 hours she would earn 40 dollars.
m = 8(5)
m = 40
please and thank you help with math!!
Answer:none of these
Step-by-step explanation:
And the first derivative of
f(n) = 15e
Answer:
[tex]\displaystyle f'(n) = 0[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
The derivative of any constant is equal to 0.
BRAINLIEST TO BEST IN DEPTH ANSWER (NO BRAINLY IF DOESN'T ANSWER ALL QUESTIONS
Do the following lengths form a right triangle?
6
8
9
Answer:
No
Step-by-step explanation:
You can check using pythagoras theorem
The six sides of a number cube are labeled 1,2,3,4,5,and six you flip a coin and roll the number cube what is the theoretical probability that the coin lands on heads and u roll the cube and the number is less then 5. Write your answer as a fraction
The theoretical probability that the coin lands on heads and roll the cube and the number are less than 5 is 1/3.
What is an event?
An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.
There are 6 faces of a cube.
The numbers less than 5 on a cube are 1, 2, 3, 4.
The number of favorable outcomes is 4.
The total number of outcomes is 6.
The probability of getting less than 5 is
favorable outcome/ total number of outcomes = 4/6 = 2/3.
The number of faces of a coin is 2.
The number of heads of a coin is 1.
The probability of getting head is 1/2.
The probability of getting less than 5 in a roll and head in the coin is
2/3 × 1/2 = 1/3.
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Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
5
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
orgoi2rv
5. Jamal got a job working on an assembly line in a toy factory. On the 20th day of work, he
assembled 137 toys. He noticed that since he started, every day he assembled 3 more
toys than the day before. How many toys did Jamal assemble altogether during his first
20 days?
(Arithmetic sequence)——
2170 toys Jamal assemble altogether during his first 20 days.
What is the arithmetic sequence?
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.
Here, we have
Given: Jamal got a job working on an assembly line in a toy factory. On the 20th day of work, he assembled 137 toys. He noticed that since he started, every day he assembled 3 more toys than the day before.
We have to find how many toys did Jamal assemble altogether during his first 20 days.
We apply the arithmetic sequence formula and we get
tₙ = t₁ + (n-1)d
137 = t₁ + (20-1)(3)
t₁ = 80
To calculate the total number of toys that Jamal assemble in his first 20 days,
S₂₀ = (20/2)(2×80 + (20-1)(3))
S₂₀ = 2170
Hence, 2170 toys Jamal assemble altogether during his first 20 days.
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Answer quickly please. No links please. The length of the minute hand is 150% of the length of the hour hand.what distance will the tip of the minute hand move in 45 minutes? round to the nearest hundredth. the minute hand will move ? Answer quickly please.
Answer:
108π mm.
Step-by-step explanation:
The hour hand makes a full circle of 12 hr, in 45 min=0.75 hours it will will have made 0.75/12 of a full circle. Given that the tip of the hour hand travels along the circumference of a circle, the radius of circle will be equal to the lenth of the hand.
But:
circumference is given by:
C=2*π*radius
The distance traveled by the hand in 12 hours will be:
2**36=76π mm
The distance traveled in 45 min will be:
0.75/12 *72π=4.5π mm
in 45min, the min hand will make 45/60=3/4 of a full circle. If the min hand is 150% of the hour hand, then its length is 150/100*36=54 mm.
Thus the tip of the minute will travel along the entire circuference of a circle with a 54 mm radius, this implies that for a full circle we shall have:
2*π*54mm=108π mm.
Hence;
in 45 min, the tip of the minute hand will have traveled 108*3/4*π=81π mm
yesterday the temperature at noon was 21.5°F. By midnight,it had gone down by 30°F. What was the temperature at midnight
Answer:
The temperature was -8.5
Step-by-step explanation:
Subtraction
y = -3x + 2 y = 4x - 5. *
can someone solve this for me please?
Answer:
y= -3
y = 4
Step-by-step explanation:
Question 8(Multiple Choice Worth 4 points) (02.01 MC) Identify the types of sampling errors that exist in the following sampling designs: The local newspaper plans to make a prediction for a senatorial election based on a survey of its readers. A radio show asks people to phone in their views on whether the United States should pay off its debt to China. A new social media website chooses to survey the first 50 members who join to determine whether members favor the appearance of the homepage.
Answer: Nonresponse, voluntary, and convenience.
Step-by-step explanation:
For the first question, it should be noted that everyone cannot respond as only the people who have strong opinions will respond. Therefore, it's a nonresponse error.
For the second question, the people will have to volunteer. Therefore, it's a voluntary bias while the third one is a convenience sample as it's an easily available sample.
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