Answer:
no solutions
Step-by-step explanation:
we use the quadratic formula.
for an equation ax²+bx+c=0, the solutions for x are:
x = (-b±sqrt(b²-4ac))/2a
in our case, a=2, b=-6 and c=5, so:
x= (6±sqrt(36-40))/4
we see that we get a negative number inside the sqrt, so we have no real solutions
Answer:
No solution
Step-by-step explanation:
1) Use the quadratic formula
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
[tex]2x^2-6x+5=0[/tex]
[tex]a=2\\b=-6\\c=5[/tex]
[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4*2*5} }{2*2}[/tex]
2) Simplify
Evaluate the exponent:
[tex]x=\frac{6\pm\sqrt{(-6)^2-4*2*5} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{36-4*2*5} }{2*2}[/tex]
Multiply the numbers:
[tex]x=\frac{6\pm\sqrt{36-4*2*5} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{36-40} }{2*2}[/tex]
Subtract the numbers:
[tex]x=\frac{6\pm\sqrt{36-40} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{-4} }{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{6\pm\sqrt{-4} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{-4} }{4}[/tex]
3) No real solutions because the discriminant is negative
The square root of a negative number is not a real number
[tex]d=-4[/tex]
Result
No solution
Here are the results of a survey that students conducted at a mall. the students conducted this survey as part of a statistics project to determine if younger adults are more likely to have tattoos. at least one tattoo no tattoo row totals age 18-19 170 320 490 age 30-50 60 445 505 column totals 230 765 995 we randomly select a person who responded to this survey. which calculation gives the probability that the person has a tattoo
Using it's concept, it is found that there is a 0.2312 = 23.12% probability that the person has a tattoo.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 995 people were surveyed, out of which 230 have tattoos, hence the probability is given by:
p = 230/995 = 0.2312.
0.2312 = 23.12% probability that the person has a tattoo.
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Select the correct answer.
Gas station A has posted a chart that shows the price of gasoline in terms of the number of gallons.
The correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.
What is an expression?Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.
Here we have two pieces of information
Gas station A:-
3 gallons for $9.15
1 gallons for $9.15 / 3 = $ 3.05
Gas station B:-
P = 3.08g
It means that station B is selling the gasoline at a higher price.
Therefore the correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.
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Examine Carmen's plans for rail lines at a train station.
2
(6x + 5)°
X
48%
What is the measure of angle 2? m/2 =
K
m
(7x-4)°
t
The measure of angle 2 is 73.
What is angle?An angle is a combination of two rays (half-lines) with a common endpoint.
Given:
As, angle 1 and 2 are supplementary
<1 + <2 + (6x +5) =180
And, by corresponding angle, <1= 48
So, 48 + <2 + (6x +5)= 180
<2 + (6x +5) = 132
Also x= 9
then, <2 = 132 - 59
<2= 73.
Hence, measure of <2 is 9.
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What’s the value of y?
Answer:
50°
Step-by-step explanation:
because there opposite to each other.
which statement is correct?
Answer:
The second and third equations are correct.
Step-by-step explanation:
Note that the equations are all the same, with the exception of the math operation (=,>,<,[tex]\leq[/tex], etc.). Let's do one calculation and then decide which of the statements is true.
The components may be simplified by separating the numbers from the exponents and doing the calculations separately:
(2.06x10^-2)(1.88x10^-1) becomes (2.06*1.88)*(10^-2 * 10^-1)
Left Side:
(2.06*1.88) = 3.91
(10^-2 * 10^-1) = 10^-3 [The exponents add when multiplying]
(2.06x10^-2)(1.88x10^-1) = 3.91x10^-3
Right side:
(7.69/2.3) = 3.343
(10^-2)/(10^-5) = 10^3 [The bottom exponent is subtracted from the top. ( -2 - (-5)) = 3 ]
(7.69x10^-2)/(2.3x10^-5) = 3.343x10^3
For all equations:
LEFT RIGHT
3.91x10^-3 3.343x10^3
We can now answer the question. Is the left side (3.91x10^-3 )
A. <
B. =>
C. >, or
D. =
to the right side (3.343x10^3)
We can drop the 10^-3 to make the comparison simpler, since it is the same on both sides. Think of it as dividing both sides by 10^3.
Correct?
A. 3.91 < 3.34 NO
B. 3.91 => 3.34 YES
C. 3.91 > 3.34, or YES
D. 3.91 = 3.34 NO
4, 2.5, 1, -0.5, -2, , ,
which number is after -2
Answer:
The number after - 2 is - 3.5.
Step-by-step explanation:
Follow the pattern
Let the number be after -2
as in the question after 4 we have 2.5 then 1 and so on.
if we subtract 4 from 2.5 we get
2.5 - 4 = -1.5
similarly: 1 - 2.5 = -1.5
-0.5 - 1 = -1.5
and now
x -(-2) = - 1.5
x = - 1.5 -2
x = - 3.5
so the number after - 2 is - 3.5.
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The coefficient of 8 · 2N is
Answer:
The coefficient is 2
Solve the equation
This is a question from a mock exam I could not answer
Examine the nuclear reaction: superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.. why is this classified as a nuclear reaction rather than a chemical reaction?
The given reaction is considered as nuclear reaction instead of chemical reaction as the change is coming in the nucleus.
A nuclear reaction is one in which the number of protons or neutrons changes as a result of collisions between two nuclei or an atom and a subatomic particle.
In the given reaction also which is superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.
A neutron is added to the nucleus of a hydrogen atom here. As a result, it is a nuclear reaction.
A chemical reaction involves the acquisition or loss of electrons, which leads in the synthesis of a new molecule while leaving the nucleus of an atom unchanged.
Thus, we can give a conclusion that because a change in a nucleus happened, the described event is categorised as a nuclear reaction rather than a chemical reaction.
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. Mr. Poudel buys 60 bananas at Rs 80 per score and sells all the bananas at Rs 60 per dozen. What is his profit or loss? (1 score = 20) Profit and Loss 10. Mr. Poudel buys 60 bananas at Rs 80 per score and sells all the bananas at Rs 60 per dozen . What is his profit or loss ? ( 1 score = 20 ) - P : 60
Answer:
profit=Rs60
Step-by-step explanation:
I hope it helps.
You have two exponential functions. One function has the formula g(x) = 5x. The other function has the formula h(x) = 5-x. Which option below gives formula for k(x) = (g - h)(x)? k( x) = 10 x k( x) = 5 x - 5 -x k( x) = 2(5 x) k( x) = 5 x + 5 -x
The correct option is k(x) = 5x - (5-x)
What is Function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the given functions are;
g(x) = 5x h(x) = 5 - x
Now,
k(x) = (g - h)(x)
k(x) = g(x) - h(x)
k(x) = 5x - (5 - x)
Thus, the correct option is k(x) = 5x - (5-x).
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These box plots show the basketball scores for two teams.
Wolverines
35
55
80 85
96
Panthers
33
50
70
90
107
Compare the shapes of the box plots.
O A . Both distributions are negatively skewed.
O B. The Wolverines' distribution is negatively skewed, but the
Panthers' distribution is symmetric.
O C. Both distributions are symmetric.
OD. The Wolverines' distribution is positively skewed, but the Panthers'
distribution is symmetric.
The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.
When is data symmetric for a given box plot?Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers.
The box plot showing scores for the Panthers basketball team has the median shown by a vertical line dividing the box into 2 equal halves.
Also, both whiskers on either side are relatively equal which shows that the data set for bulldogs is symmetric.
On the other side, the box plot for wolverine shows the median closer to the upper quartile.
That shows that the data set for team Wolverines' distribution is negatively skewed.
The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.
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What is the value of f^-1 (-3)
According to the plot of [tex]f(x)[/tex], whose curve passes through the point (-5, -3), we have
[tex]f(-5) = -3 \implies f^{-1}(-3) = \boxed{-5}[/tex]
In a class of 20 students:
11 have a brother
9 have a sister
6 have neither
Fill in the Venn Diagram.
The Venn diagram is given below. Then the number of students who have brother and sister will be 6.
What are sets?A set is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
In a class of 20 students:
11 have a brother, 9 have a sister, and 6 have neither.
Then the Venn diagram will be
11 – a + a + 9 – a = 20 – 6
20 – a = 14
a = 6
The Venn diagram is given below.
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please help mee, (20 points will give brainliest!!!)
Answer:
A) 48
B) -30
Step-by-step explanation:
Hello!
Part ATo compute f(-1) and f(5), we simply replace x with -1 and -5.
Calculate[tex]f(-1) + f(5)[/tex][tex]((-1)^2 - 1 + 9)+ (5^2 +5 + 9)[/tex][tex](9)+(39)[/tex][tex]48[/tex]The answer to A is 48
Part BWe have the values for f(-1) and f(5), so we just switch the operation
[tex](9) - (39)[/tex][tex]-30[/tex]The answer to B is -30
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3 , 6
Step-by-step explanation:
Answer: (2,-3), (2, -3)
Step-by-step explanation: Substitute 2 into each equation. See Attachment and don’t forget to check the work just in case ;)
Does this graph represent a function? Why or why not?
Answer:
the answer is D
Step-by-step explanation:
I'm not good at explaining but, it is because the line is not touching more than 1 point on the graph. Basically making it pass the vertical line test, therefore making the answer D.
Good luck, hope this helps !!!
Which describes the graph of y= -(x + 6)² + 6?
O A. Maximum at (-6, 6)
OB. Maximum at (6, 6)
OC. Minimum at (-6, 6)
OD. Minimum at (6, 6)
Answer:
A
Step-by-step explanation:
Since x has a negative coefficient, the graph opens downwards meaning that it has a maximum.
The vertex formula is y = a(x - h)^2 + k so the coordinate must be (-6, 6).
Ayuda
Utilizando el teorema de Pitágoras, cual sería el valor del cateto C ?
can you please help me !! I need help ASAP !!
Reason:
The line is going uphill as it moves to the right.
The area of a square can be represented by the expression x10. which monomial represents a side of the square?
The side of the square is x^5 .
What is the Area of the square?Area of a square = (side)² = a²,
Given;
area of a square = [tex]x^{10}[/tex]
Equating it with the general formula of square
Area of a square = a²,
a² = [tex]x^{10}[/tex]
Taking square root on both sides,
[tex]a = \sqrt{x^{10}} \\\\a = x^5[/tex]
Hence, the side of the square is x^5.
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Identify the height of a triangle in which b=12 m and A=(18x−6) m^2. SHOW YOUR WORK!!!
Answer:
[tex]3x-1[/tex]
Step-by-step explanation:
The formula to find the area of a triangle:
[tex]A = \frac{bh}{2}[/tex]
Here, [tex]A[/tex] is the area, [tex]b[/tex] is the base and [tex]h[/tex] is the height.
However, we are looking for height, so let's rearrange the equation for [tex]h[/tex]:
[tex]A = \frac{bh}{2}\\2A = bh\\h = \frac{2A}{b}[/tex]
Now we know the formula to find the height, let's do so:
[tex]h = \frac{2(18x-6)}{12}\\\\h = \frac{36x-12}{12}\\\\h = 3x - 1[/tex]
Therefore, our final answer is [tex]3x-1[/tex].
Which equation can be simplified to find the inverse of y = 5x² + 10?
Ox=5y² + 10
O-5X+10
O-y=5x² + 10
1
O y = x² + 10
Answer:
[tex]x = 5y {}^{2} + 10[/tex]
The inverse of the function is x = 5y² + 10.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To find the inverse of a function, we need to solve for x in terms of y.
To do this, we can start by replacing y with x and solving for x.
y = 5x² + 10
x = 5y² + 10
Now we have solved for x in terms of y, which gives us the inverse of the original function.
So the equation that can be simplified to find the inverse of y = 5x² + 10 is:
x = 5y² + 10
Thus,
The inverse of the function is x = 5y² + 10.
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Solve the equation.
3/4x+3-2= -1/4+1/2x+5
Answer:
15
Step-by-step explanation:
3x/4+1=19/4+1x/2
3x/4-x/2=19/4-1
x/4=15/4
collect like terms
x=15
Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic titles. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of DVDs.
x + y = 3,500
x – y = 2,342
what is the y-intercept of f(x)=(1÷4)
PLEASE HELP ME WITH THIS ASAP
Answer:
x=46
Step-by-step explanation:
4(x+1)-3x=50
first you gotta take care of the () so multiple by 4
(4x+4) -3x=50
combine like terms, subtract 4-3 to get 1 so you have 1x left
4 + x = 50
and then solve for x
x=46
( i checked it to make sure it was right so dw)
Someone help me : The Venn diagram below shows the number
of customers in a restaurant who ordered
starters and desserts. There were 23
customers in total.
What is the probability that a customer
picked at random ordered a starter but did
not order a dessert?
Give your answer as a fraction in its
simplest form.
Answer:
5/23
Step-by-step explanation:
▪︎ There are 23 customers in total.
▪︎ Only 5 of them ordered a starter but not a dessert.
▪︎ => 5/23
The probability that a customer picked at random ordered a starter but did not order a dessert = 5/23
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Total Customers= 23
and, Customer like starter=5
Customer like Dessert =8
Customer like both =7
So, probability that a customer picked at random ordered a starter but did not order a dessert = 5/23
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HELP HELP HELP HELP
HELP HELP HELP HELP
HELP HELP HELP HELP
HELP HELP HELP HELP
Step-by-step explanation:
just breathe and read it carefully. no need for panic. all you need is common sense, nothing fancy.
the tools and definitions to use are given in the description. we only need to use them.
the height of the point of view is 44 + 6 = 50 ft (because the eyes are again 6 ft above the top of the hill, and we are dealing with what the eyes can see).
so, the seeable distance D in miles is then
D = sqrt(2×50) = sqrt(100) = 10 miles
she will be able to see approximately 10 miles to the horizon.
Express cos L as a fraction in simplest terms
Answer:
cos L = [tex]\frac{23}{25}[/tex]
Step-by-step explanation:
cos L = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{JL}[/tex] = [tex]\frac{23}{25}[/tex]
