Answers
The discriminant of the quadratic equation is 11.1.
What is the discriminant?The discriminant is the expression that we could use to deduce the kind of roots that a quadratic equation would have. Note that when we say the roots of the equation, we are talking about the solutions of the quadratic equation. We shall now try to obtain the discriminant of this equation as we can see below.
The discriminant is given as;
√b^2 - 4ac
Given;
3x^2 - 10x + 2 = 0
a = 3
b = -10
c = 2
We have;
√(-10)^2 - 4(-3) (2)
√100 + 24
11.1
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Related Questions
(c) A total of 1800 students attend St. John's College. The ratio
of teachers to students is 1:25.
(i) How many teachers are there at the college.
Three-quarters of the students own laptop computers.
(ii) How many students DO NOT own laptop computers?
Answers
Answer: the number of teachers are 14.4 and the amount of students that don’t own laptops of 5400
Step-by-step explanation:
a container is in the shape of a square based prism with base measurement of 3m and the height is 5m. The top and bottom are made of steel and the sides are made of aluminum. If steel costs $2.95/m^ and aluminum costs $1.57/m^, how much would it cost to make the container?
Answers
The cost for making the container if steel costs $2.95/m and aluminum costs $1.57/m is $28. 27
How to determine the cost of the containerBased on the information given, we have that;
The base of the square prism is measured 3mThe height of the square prism is measured 5mWe also have the following deductions;
Steel was used for the top and bottom are both made of steelAluminum was used for the sides of the square prismThe properties of a square prism include;
Opposite sides are parallel Opposite sides are parallelOpposite sides are equalOpposite angles are equal The diagonals of the prism divide each otherThe cost for aluminum = 10($1.57)
Multiply the values by expanding the
The cost for aluminum = $10. 57
The cost for steel = 6($2.95)
Multiply through, we have;
The cost for steel = $17. 7
Total cost for the container = Cost of steel + cost of aluminum
Total cost for the container = $10. 57 + $17. 7
Total cost for the container = $28. 27
Thus, the value of the cost is $28. 27
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Type the correct number
Cars
4
12
16
Trucks
5
10
15
25
Answers
Answer:
cars= 32 , trucks= 55
Step-by-step explanation:
add all the cars up then the trucks
PLS HELP!! DUE TODAY! Will give branliest to the best answer, 40 points!!
What is the slope of a line that is perpendicular to the line y = 18x + 5?
A. -8
B. -1/8
C. 1/8
D. 8
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:B. \:\: - \dfrac{1}{18} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The given equation of a line is in its slope intercept form, that is :
[tex]\qquad \tt \rightarrow \: y = mx + c[/tex]
The original equation is :
[tex]\qquad \tt \rightarrow \:y = 18x + 5[/tex]
by comparing the two equations we get slope (m) of this line equal to 18
we need to find the slope (n) of line perpendicular to this.
By the property of perpendicular lines, we know :
[tex]\qquad \tt \rightarrow \:m \times n = - 1[/tex]
[tex]\qquad \tt \rightarrow \:18 \times n = - 1[/tex]
[tex]\qquad \tt \rightarrow \:n = - \cfrac{1}{18} [/tex]
So, slope of required line is -1/18
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer: -1/18
Step-by-step explanation:
Let y=k₁x+b1 be the line. Given the perpendicularity of lines, the equation of the line perpendicular to the given line has the form:
[tex]\displaystyle\\y=-\frac{1}{k}x+b_1[/tex]
[tex]\displaystyle\\So,\ y=18x+5\\\\\Rightarrow\ -\frac{1}{18}[/tex]
who knows how to solve this! its geometry
Answers
Answer:
figure out how to get 180% from those 3 points
Step-by-step explanation:
What is the volume of the following cone?
Answers
The volume of the cone, to the nearest whole number, is: 50 cm³.
How to Find the Volume of a Cone?The volume of a cone is defined as the amount of space it contains. The volume can be calculated using the formula:
Volume of cone = 1/3 × π × r² × h, where h is the height of the cone, and r is the radius of the cone.
Given the parameters:
Height of the cone (h) = 3 cmRadius of the cone (r) = 4 cmPlug in the values:
Volume of the cone = 1/3 × π × 4² × 3
Volume of the cone = 1/3 × π × 16 × 3
Volume of the cone = 16π
Volume of the cone = 50 cm³
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Pls help!!!: select all the expressions that are equivalent to (1/2) to the power of negative 3. a). -(1/2) to the power of 3 b).2 to the power of 3 c).(1/1/2 to the power of 3) d).1/8 e).8
Answers
Answer:
option (e) 8
Step-by-step explanation:
using identity
==>1/(a^(-x))=a^x()
=(1/2)^(-3)
=(2)^3
=2*2*2=8
option (e)
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Order 81%, 8/9, 0.79, and 9/11 from least the greatest.
Answers
Answer:
9/11, 8/9, 0.79, 81%
Step-by-step explanation:
i don't know how to explain but this is pretty much how you'd do it
Montel heated a 12-cup pot filled with soup. He served bowls of soup to his family.
How can Montel find out how much soup his family ate?
Answers
He can find out by using mathematical operation - subtraction.
What are Mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.
Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the operations that are most frequently studied. A constant is an operation with arity zero, often known as a nullary operation. An example of an operation of arity 3, sometimes known as a ternary operation, is the mixed product.
The arity is typically assumed to be limited. Even yet, infinitary operations are occasionally taken into account, in which case the "typical" operations of finite dimensionality are referred to as finiteary operations.
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Which of the following is true? ( not multiple choice)
Answers
Answer: A
180-130= <D
50=<D
50+70= 120
180-120=<B
60=<B
m<BCD= 70
m<DBC= 60
70-60=10
Answer:
О A = 10°
Step-by-step explanation:
∡ DBC = 180 - 130 = 50°
∡ DBC + ∡ CBD + ∡ BCD = 180°
50° + 70° + ∡BCD = 180°
∡BCD = 180° - (50°+70°)
∡BCD = 180° - 120°
∡BCD = 60°
Then:
∡BCD - ∡DBC = 60° - 50° = 10°
In WXY, m/W = (10x + 17)°, m/X = (2x - 9)°, and m/Y = (3x + 7)°. Find m/Y.
Answers
Answer:
m∠Y = 40°
Step-by-step explanation:
The sum of the three angles of a triangle must equal 180°
Thus
m∠W + m∠X + m∠y = 180°
→ (10x + 17) + (2x - 9) + (3x + 7) = 180
→ 10X + 17 + 2X + 9 + 3X + 7 = 180
Collecting like terms
→ 10X + 2X + 3X + 17 - 9 + 7 = 180°
→ 15x + 15 = 180
Subtract constant 15 from both ssides:
→ 15x + 15 - 15 = 180 - 15
→ 15x = 165
Divide both sides by 15
→ 15x/15 = 165/15
→ x = 11
m∠Y = 3x + 7
m∠Y = 3 x 11 + 7
m∠Y = 33 + 7
m∠Y = 40°
Write the equation of the line that passes through the points (3,−8) and(−4,−9). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
y + 9 = [tex]\frac{1}{7}[/tex](x+4)
Step-by-step explanation:
Point slope form: y − y1 = m(x − x1)
First, we find the slope (m):
m = [tex]\frac{y2-y1}{x2-x12} = \frac{-8-(-9)}{3-(-4)} = \frac{1}{7}[/tex]
Now insert your points and slope into the form:
y + 9 = [tex]\frac{1}{7}[/tex](x+4)
Solve for b.
-14b + 1
4
<3 or b - 15 - 15b > 1
Write your answer as a compound inequality with integers, proper fr
fractions in simplest form.
or
Answers
Answer:
Step-by-step explanation:
What are the domain and range of this relation? pt3 last one pls help
Answers
Given: 1 || m, p || q Prove: 21 = 22
Answers
Answer:
Proved.
Step-by-step explanation:
l // m and p is transversal.
∠1 ≅ ∠3 ----------(I) {Corresponding angles}
p // q and l is transversal.
∠3 ≅ ∠2 -------(II) {Corresponding angles}
From (I) & (II),
∠1 ≅ ∠2
Hence proved.
To prove ∠1 = ∠2
What are parallel lines?
In a plane, parallel lines are those whose distances between them are constant. Lines that are parallel never cross. Lines that cross at a straight angle (90 degrees) are said to be perpendicular.
Given: l II m and p II q
According to the properties of parallel lines
∠1 and ∠ 3 are equal because l II m therefore ∠1 and ∠ 3 are corresponding angles.
Since p II q therefore ∠3 = ∠2 { angles present on the same sides of the parallel lines called corresponding angles are equal }.
Thus since ∠1= ∠3 and ∠3=∠2 therefore we can say that ∠1 = ∠2.
Hence proved.
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What is the range of the function shown on the graph?
Answers
Check the picture below.
I really need help you guys pleaseeee
Answers
1. Ganymede is one of Jupiter’s moons. It takes Ganymede 7 days, 3 hours, and 15 minutes to make one rotation around Jupiter. How many hours does it take Ganymede to complete a full rotation? Show your work using the correct conversion factors and make sure all conversion factors are labeled with appropriate units. You should have more than one conversion factor shown.
Answers
The number of hours it would take Ganymede to complete a full rotation is 171.25 hours.
What is the number of hours?The first step is to convert days to hours. A day is equivalent to 24 hours. In order to convert days to hours, multiply 7 by 24.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
1 day = 24 hours
24 x 7 = 168 hours
The second step is to convert minutes to hours, In order to do this, divide 15 by 60. Division is the process that is used to determine the quotient of two or more numbers.
60 minutes = 1 hour
15 / 60 = 0.25 hours
Now, add all the converted hours together. Addition is the mathematical operation that is used to determine the sum of two or more numbers.
Total hours = 168 hours + 3 hours + 0.25 hours = 171.25 hours
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On a cold day, the temperature in a certain city changed −14.4°F over 9.6 hours. What was the average change in temperature per hour?
Enter your answer as a decimal.
Answers
The average change in the temperature per hour is -1.5°F.
Average:
Average means a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.
Given,
On a cold day, the temperature in a certain city changed −14.4°F over 9.6 hours.
Here we need to find the average change in temperature per hour.
To find the average temperature we have to divide the given two temperature.
Temperature change in 9.6 hour = -14.4°F
So, the average change is calculated as,
=> temperature / hour
=> -14.4 / 9.6
=> -1.5°F
Therefore, the average change in temperature is -1.5°F per hour.
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The average change in the temperature per hour is -1.5°F.
Average:
Average means a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.
Given,
On a cold day, the temperature in a certain city changed −14.4°F over 9.6 hours.
Here we need to find the average change in temperature per hour.
To find the average temperature we have to divide the given two temperature.
Temperature change in 9.6 hour = -14.4°F
So, the average change is calculated as,
=> temperature / hour
=> -14.4 / 9.6
=> -1.5°F
Therefore, the average change in temperature is -1.5°F per hour.
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Can u please answer this asap and thank you
Answers
Answer:
10 popcorn orders
Step-by-step explanation:
[tex]10 + 4.55 x = 8 + 4.75x \\ 4.55x - 4.75x = 8 - 10 \\ - 0.2x = 8 - 10 \\ - 0.2x = - 2 \\ x = \frac{ - 2}{ - 0.2} \\ x = 10[/tex]
J. The Math Club found a company that will sell it t-shirts for $5.00 each, but there is a set-up fee of $50.
Answers
The t stands for how many t shirts you sell and the 50 is the set fee for the start up.
Help quickly please!
Answers
The equivalent expressions to 5(1/3x + 7) - 3(1/2x - 4) include C. 1 2/3x + 35 - 1 1/2x + 12
How to express the expression?It should be noted that an expression simply shows the relationship between the variables.
In this case, the value of the expression illustrated will be:
5(1/3x + 7) - 3(1/2x - 4)
= 5/3x + 35 - 3/2x + 12
= 5/3x - 3/2x + 35 + 12
= 10/6x - 9/6x + 47
= 1/6x + 47.
Therefore, the equivalent expressions to 5(1/3x + 7) - 3(1/2x - 4) will be 1 2/3x + 35 - 1 1/2x + 12. This was illustrated based on the information given as it has the final value of 1/6x + 47.
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fully factorise
[tex]12x^3 + 38x^2 - 14x[/tex]
Answers
Answer:
2x(2x + 7)(3x - 1).
Step-by-step explanation:
12x^3 + 38x^2 - 14x
= x(12x^2 + 38x - 14)
= 2x(6x^2 + 19x - 7)
To factor the expression in the parentheses we need 2 numbers whose product is (6 * -7) = - 42 and whose sum = +19.
These are +21 and - 2.
So, we write:
6x^2 - 2x + 21x - 7
= 2x(3x - 1) + 7(3x - 1)
= (2x + 7)(3x - 1)
So, the answer is 2x(2x + 7)(3x - 1).
Answer:
[tex]2x(3x-1)(2x+7)[/tex]
Step-by-step explanation:
[tex]12x^3+3x^2-14x\\[/tex]
Factor out common factor: (2x)
[tex]=2x(6x^2+19x-7)[/tex]
Factor [tex]6x^2+19x-7[/tex]
[tex]= 2x(3x-1)(2x+7)[/tex]
Hope this helps! :) Sorry for the late reply
answer the following questions for each set: (a) what are the limit points? (b) is the set open? closed? (c) does the set contain any isolated points?
Answers
a) limit point of a set A is 1
b) set A is neither open nor closed
c) all the element of set A are isolated point except -1 and 1
Let A={(−1)^n+2/n :n=1,2,3,.....} and B={x∈Q:0<x<1}
Answer the following questions for each set:
a) What are the limit points?
b) is the set open? closed?
c) does the set contain any isolated points?
a) the limit point of a set A are -1 and 1
-1 does not belong to set A
1 belong to set A
Therefore limit point of a set A is 1
b) A set is open if every point in is an interior point. A set is closed if it contains all of its boundary points
thus set A is neither open nor closed
c) a point x is called an isolated point of a subset S (in a topological space X) if x is an element of S and there exists a neighborhood of x which does not contain any other points of S.
all the element of set A are isolated point except -1 and 1
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The sum of the digits of a certain two-digit number is 11. When you reverse its digits you increase the number by 45. What is the number?
Answers
Answer:
6 and 9.
Step-by-step explanation:
Let the number be xy [note: x is a digit in tens place and y is another digit in ones place]
Learn to translate the words into formulas:
"When you reverse the digits in a certain two-digit number you increase its value by 45." means
10y + x = (10x + y) + 45 [eq1]
"the sum of its digits is 11" means x + y = 11 [eq2}
Now, solve (let's use substitution):
y = 11-x [from eq2]
Put that into eq1:
10y + x = (10x + y) + 45 [eq1]
10(11-x) + x = 10x + (11-x) + 45
110 - 10x + x = 10x + 11 - x + 45
110 - 9x = 9x + 56
-18x = -54
x = 3
Now, put that into either equation to find the value of y:
3 + y = 11 [eq2]
3 + y = 11
y = 8
The number is 38.
Check:
Is 83 = 38 + 45 ?
83 = 83 ?yes
Is 3 + 8 = 11 ?
11 = 11 ?yes
I’ll mark you brainliest for a correct answer!!! I have been reeling over this question forever
Answers
tim and his sister drove 18 miles in 27 minutes. How long will it take them to drive 24 miles
Answers
It will take them 36 minutes to drive 24 miles.
What is unitary method?A problem can be solved using the unitary method by first determining the value of a single unit, and then multiplying that value to determine the required value. A single or distinct unit is referred to by the word unitary. Because of this, the goal of this method is to determine values in reference to a single unit. For instance, we can use the unitary technique to determine how many kilometers a car will go on one liter of gas if it travels 44 km on two liters of fuel.
Given Data
Tim and his sister drove 18 miles in 27 minutes.
They drove 1 mile in :
18 mile = 27 minutes
1 mile = [tex]\frac{27}{18}[/tex] minutes
1 mile = 1.5 minutes
For 24 miles,
1 mile = 1.5 minutes
24 miles = 1.5(24) minutes
24 miles = 36 minutes.
It will take them 36 minutes to drive 24 miles.
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Graph the following system of equations.
y = 3x + 15
3x + 3y = 9
What is the solution to the system?
Answers
Answer:
x = -3 and y = 6
Step-by-step explanation:
by plugging the function (y = 3x + 15) into the y value in the function (3x + 3y = 9), you can then solve to find that x = -3
After solving for the x-value, plug -3 into the easiest equation to solve for the y-value (y = 3x + 15) to then find that y = 6
This is method of solving is called substitution
solve y-59 equal to 80
Answers
Answer:
y=139
Step-by-step explanation:
add 59 to 80
−14 = −21 +
C
11
Subract
Answers
Answer:
35
Step-by-step explanation: