To solve the equation -2x^2 + 3x - 9 = 0, we can use the quadratic formula. This equation does not have any real solutions, but it has complex solutions involving imaginary numbers.
Explanation:To solve the equation -2x^2 + 3x - 9 = 0, we can use the quadratic formula. Substituting the values a = -2, b = 3, and c = -9 into the formula, we can then simplify to find the solutions for x.
The quadratic formula is given by:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
Substituting the values, we have:
x = (-3 ± sqrt(3^2 - 4(-2)(-9))) / (2(-2))
Simplifying further, we get:
x = (-3 ± sqrt(9 - 72)) / -4
x = (-3 ± sqrt(-63)) / -4
Since the square root of a negative number is not a real number, this equation does not have any real solutions. The equation has complex solutions, which involve the use of imaginary numbers.
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Determine the slope of the line that contains the given points. t(6,3),v(8,8)
The slope of the line that contains the given points T(6, 3) and V(8, 8) will be 2.5.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are given below.
T(6, 3) and V(8, 8)
The slope is given as,
m = (8 - 3) / (8 - 6)
m = 5 / 2
m = 2.5
The slope of the line will be 2.5.
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The ideal width of a certain conveyor belt for a manufacturing plant is 50 in. an actual conveyor belt can vary from the ideal by 7/32 in. find the acceptable widths for this conveyor belt. CHECK ALL THAT APPLY
a) x>=49 24/32
b)x<=50 7/32
c)49 25/32<=x<=50 7/32
d)x+7/32<=50
e)absolute value of x-50 <=7/32
If the radius of a circle is multiplied by 3 what happens to the area of a circle
A Girl Scout camp served half of their granola with breakfast. After dinner they put the remaining 6250 g of granola on top of their yogurt dessert.
How many kilograms of granola did the Girl Scout camp start with ?
1 kilogram = 1000 grams
The equation a=640s gives the relationship between s square miles and acres. Pam owns 7.5 square miles of farmland. How many acres does she own
Answer:
4800 acres.
Step-by-step explanation:
We have been given an equation [tex]a=640s[/tex], which gives the relationship between s square miles and acres.
To find the number of acres Pam owns we will substitute [tex]s=7.5[/tex] in our given equation.
[tex]a=640\times 7.5[/tex]
[tex]a=4800[/tex]
Therefore, Pam owns 4800 acres.
About 145 out of 300 students prefer walking instead of riding the bus to school. About what percent of the students prefer walking?
When writing an equation in exponential form , how can you tell by the number in parentheses if it's exponential growth or exponential decay?
Which property is illustrated below?
1 + 7 = 7 + 1
identity property of addition
commutative property of addition
associative property of addition
distributive property
What value of x makes the denominator of the function equal zero?y=(7)/(5x-25)A.0.2 B.–0.2 C.5 D.–5
What is the height of an airplane as it descends to an airport runway
Final answer:
The height of an airplane during its descent to an airport runway is influenced by factors like approach angle, stall speed, and descent rate.
Explanation:
The height of an airplane as it descends to an airport runway is determined by various factors such as approach angle, stall speed, and glide slope.
During descent, the pilot manages corrections for side-winds, updrafts, and downdrafts to aim for a specific touchdown point on the runway.
Typically, the descent rate of an aircraft during landing is about 500 feet per minute, translating to approximately 8 mph.
Coins are marked with the letters A-G. What is the probability of selecting a coin with a vowel on it?
a. 28.6%
b. 16.7%
c. 33.8%
d. 18.9%
For how many positive integer values of N will the expression 18/N + 2 be an integer?
N can have 6 different positive integer values.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
The expression is :
18/N +2
An integer is a whole number that includes all positive numbers, negative numbers and zero.
An integer cannot be a fraction.
The value of N has to be determined for the expression such that, the value of the expression is a positive integer.
For the expression to be positive integer, the 18/N should be an integer value, so the number N should completely divide 18.
The factors of 18 is 1,2,3,6,9,18.
If N is any value among these, it will divide 18 to give a integer and the value of the expression will be a positive integer value.
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Jimmy set his score for his math test. After the math teacher returnee his paper to him, he realized that if he increased his target by 10%, he would need 1 more mark to reach his actual score. If he increased his target by 15%, this target would exceed his actual test marks by 3. What is his actual test score.
Which algebraic expression represents “the difference of fifty-four and seven times a number”?
Answer:
The difference of fifty-four and seven times a number is written as 54 - 7x.
Step-by-step explanation:
Given: expression “the difference of fifty-four and seven times a number”
We have to write the given algebraic expression represents “the difference of fifty-four and seven times a number”
Consider the given algebraic expression represents “the difference of fifty-four and seven times a number”
Let the number be x
Then, seven times a number is 7x
And the difference of fifty-four and seven times a number is written as 54 - 7x.
Thus, The difference of fifty-four and seven times a number is written as 54 - 7x.
Answer:
a
Step-by-step explanation:
Solve for a:
3/5a = 1/4
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A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
A.)The test contains 4 three-point questions and 20 five-point questions.
B.)The test contains 10 three-point questions and 14 five-point questions.
C.)The test contains 14 three-point questions and 10 five-point questions.
D.)The test contains 20 three-point questions and 8 five-point questions.
What's the verbal expression for the algebraic expression 15+r ?
Add.
(8x-2)+(3x+10)
(Simplify answer)
please HJelp QUICKLY
1. What shape is the graph?
2. What direction does the graph open?
3. Where is the graph increasing/decreasing?
4. What are the intercepts?
5. Are there any special points?
6. Is there a line of symmetry?
1. Triangular, 2. Upwards, 3. (- ∞, 3),(3, ∞), 4. (-1, 0) and (-3, 0), and (0, 1),
5. (-3, -1), 6. symmetry is along the x-axis.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, A modulus function | x + 2 | - 1.
The shape of the graph is triangular.
The graph opens in the upwards direction positive y-axis.
The graph is decreasing at the interval (- ∞, 3) and it is increasing at an interval (3, ∞).
The x-intercepts of the graph is (-1, 0) and (-3, 0), and The y-intercepts of the graph is (0, 1).
The special point of the graph is (-3, -1) where the graph is increasing from decreasing.
Yes, the line of symmetry is along the x-axis.
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HELP NEEDED!!
Calculate the side lengths a and b to two decimal places.
A. a = 16.23 and b = 17.99
B. a = 16.23 and b = 18.83
C. a = 17.99 and b = 16.23
D. a = 4.81 and b = 5.33
E. a = 5.33 and b = 4.81
Will thank rate five stars and give brainlist anser to first person to answer!
Answer:
A. a = 16.23 and b = 17.99
Step-by-step explanation:
The addition of the three angles of the triangle is equal to 180°. So,
C + 64° + 85° = 180°
C = 180° - 64° - 85°
C = 31°
The law of sine states:
sin(A)/a = sin(B)/b = sin(C)/c
where c is the side opposite to angle C
Taking angles A and C, and sides a and c, we get
sin(A)/a = sin(C)/c
sin(64°)/a = sin(31°)/9.3
sin(64°)*9.3/sin(31°) = a
a = 16.23
Taking angles B and C, and sides b and c, we get
sin(B)/b = sin(C)/c
sin(85°)/b = sin(31°)/9.3
sin(85°)*9.3/sin(31°) = b
b = 17.99
Add each pair of monomials and match it to the correct sum.
Tiles
-15u3 + 5u3
10u3 + (-5u3)
10u3 + 5u3
5u3 + (-10u3)
Answer:
-10u^3
5u^3
15u^3
-5u^3
Step-by-step explanation:
Given tiles
-15u^3+5u^3
10u^3+(-5u^3)
10u^3+5u^3
5u^3+(-10u^3)
Monomial : that type of polynomial in which only one term .
Adding of polynomial : when we add two polynomial then the coefficient of like terms will be added and sum of unlike terms remain . There is no change in the power of like terms and unlike terms.-15u^3+5u^3coefficient of like terms means same viable with same power -15 and 5 .
Therefore, coefficient of these two terms added and no change in power of u^3
-15u^3+5u^3=-10u^3Similarly, 10u^3+(-5u^3)=5u^310u^3+5u^3=15u^35u^3+(-10u^3)=-5u^3How to simplify 10P6/10P4
[tex] nPk=\dfrac{n!}{(n-k)!}\\\\
\dfrac{ 10P6}{10P4}=\dfrac{\dfrac{10!}{4!}}{\dfrac{10!}{6!}}=\dfrac{10!}{4!}\cdot\dfrac{6!}{10!}=5\cdot6=30 [/tex]
The probability that an event will occur is fraction 2 over 3 . Which of these best describes the likehood of the event occurring?
Likely
Certain
Unlikely
Impossible
NEED HELP
Answer:
Likely is the answer
Step-by-step explanation:
If you know the probability line you will know how to get the answer
Help me with this plz
If the probability of an event is 2/7, what must be the probability of its complement?
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Let
x------->the probability of its complement
we know that
The Complement Rule states that the sum of the probabilities of an event and its complement must equal [tex]1[/tex]
so
in this problem
[tex]\frac{2}{7}+x=1[/tex]
solve for x
Adds [tex]-\frac{2}{7}[/tex] both sides
[tex]x=1-\frac{2}{7}[/tex]
[tex]x=\frac{5}{7}[/tex]
The probability of its complement is 5/7
What is the complement of a probability event?The complement of a probability event is the event that contains all of the universal elements of the event but is not found in the provided event.
From the given information:
The provided event (x) = 2/7The complement of an event is mathematically calculated as:
P(C') = 1 - (x)
P(C') = 1 - 2/7
P(C') = 5/7
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The first term of a geometric series is a/b^2, and the common ratio is b/a^2. Find the next five terms of the geometric sequence.
Answer:
the next five terms are:
[tex]\frac{1}{ab} , \frac{1}{a^{3} } ,\frac{b}{a^{5} } ,\frac{b^{2} }{a^{7} } ,\frac{b^{3} }{a^{9} }[/tex]
Step-by-step explanation:
A geometric serie is a succession of terms on which every terms is the result of the last term multiply to a common ratio. for example, a geometric serie with inicial terms equal to 2 and the common ratio is 3, the four first numbers of the serie is given by
2, 6, 18, 54
Where every term is calculate as:
first term = 2
second term = first term x common ratio = 2 * 3 = 6
third term = second term x common ratio = 6 * 3 = 18
fourth term = third term x common ratio= 8 * 3 = 54
Then, with this exercise we have the same situation, the first term is [tex]\frac{a}{b^{2} }[/tex] and the common ratio is [tex]\frac{b}{a^{2} }[/tex], so we get:
first term = [tex]\frac{a}{b^{2} }[/tex]
second term = first term * common ratio = [tex]\frac{a}{b^{2} } *\frac{b}{a^{2} } = \frac{1}{ab}[/tex]
third term = second term * common ratio = [tex]\frac{1}{ab} *\frac{b}{a^{2} } =\frac{1}{a^{3} }[/tex]
fourth term = third term * common ratio = [tex]\frac{1}{a^{3} } *\frac{b}{a^{2} } = \frac{b}{a^{5} }[/tex]
fifth term = fourth term * common ratio= [tex]\frac{b}{a^{5} } *\frac{b}{a^{2} } = \frac{b^{2} }{a^{7} }[/tex]
sixth term = fifth term * common ratio= [tex]\frac{b^{2} }{a^{7} } *\frac{b}{a^{2} } = \frac{b^{3} }{a^{9} }[/tex]
so, the next five terms are:
[tex]\frac{1}{ab} , \frac{1}{a^{3} } ,\frac{b}{a^{5} } ,\frac{b^{2} }{a^{7} } ,\frac{b^{3} }{a^{9} }[/tex]
At the school carnival, Jade has a games booth with a spinner. The banner at her booth reads "40% chance of winning!" What is the chance that a player may not win?
A.20%
B.30%
C.50%
D.60%
Answer:
60%
Step-by-step explanation:
Since the entire percentage is 100 than 40 plus 60 is a hundred
In March Tom had -£165 in his bank account. In April he had -£156.
In which month did he have the least amount of money in his account?
Answer:
March.
Step-by-step explanation:
We have been given that in March Tom had -£165 in his bank account. In April he had -£156.
We know that the a biggest negative number has least value as biggest negative numbers lie on the extreme left on the number line.
Since -£165 is more negative than -£156, so -£165 is the least amount.
Therefore, Tom had least amount of money in his account in March.
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 64 miles due north of the warehouse.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?
48 miles
56 miles
104 miles
128 miles
warehouse location (24,-32)
airport location (-24,32)
distance = sqrt((x2-x1)^2 +(y2-y1)^2)=
Sqrt(24--24)62 +(32--32)^2) =
sqrt(48^2 +64^2) =80
then distance from airport to the factory = -24 to 24 = 48
80+48 = 128 miles total