The expression 5xy - x²t + 2xy + 3x²t has a value of 7xy + 2x²t
How to evaluate the expression?From the question, the expression is given as
5xy - x squared t + 2xy + 3x squared t
Rewrite the above expression properly
This is represented as
5xy - x²t + 2xy + 3x²t
Next, we collect the like terms in the above expression
So, we have the following equation
5xy - x²t + 2xy + 3x²t = 5xy + 2xy - x²t + 3x²t
Evaluate the like terms in the above expression
So, we have the following equation
5xy - x²t + 2xy + 3x²t = 7xy + 2x²t
The equation cannot be further simplified
Hence, the value of 5xy - x²t + 2xy + 3x²t is 7xy + 2x²t
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- Use the remainder thrm to determine if (x-2) is a
factor of f(x) = (3x4-3x³-9x² + 5x - 2) what is the remainder?
(x-2) is not a factor of f([tex]x[/tex]) = [tex]3x^{4}-3x^{3}-9x^{2} +5x-2[/tex].
What is a remainder theorem?Remainder Theorem is an approach of Euclidean division of polynomials. According to this theorem, if we divide a polynomial P(x) by a factor ( x – a) that isn't essentially an element of the polynomial, you will find a smaller polynomial along with a remainder.
The Remainder Theorem: If (x-a) is a factor of the f(x) then f(a) = 0
Here,
f([tex]x[/tex]) = [tex]3x^{4}-3x^{3}-9x^{2} +5x-2[/tex]
substitute a = 2
[tex]f(2)=3(2^{4}) -3(2) ^{3}-9(2)^{2}+5(2)-2[/tex]
= 48-24-36+10-2
= 32-36
f(2) = -4
f(2) [tex]\neq 0[/tex]
Hence, (x-2) is not a factor of f([tex]x[/tex]) = [tex]3x^{4}-3x^{3}-9x^{2} +5x-2[/tex].
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A cube-shaped
sculpture has a volume of
64 cubic feet. What is the
length of each edge of the
cube?
The length of each edge is
feet.
Convince Me! How can
you find the cube root of
64?
Check the picture below.
The division 4+5i/2-4i is performed by multiplying the numerator and denominator by _
The division of (4+5i) / (2-4i) is performed by multiplying the numerator and denominator by 2+4i and the result of the given expression is (-3/5) + (13/10) i
The given expression is
(4+5i) / (2-4i)
Here we have to divide the given complex number
First multiply both numerator and denominator by 2+4i
(4+5i) / (2-4i) × (2+4i) / (2+4i)
= [tex]\frac{(4+5i)(2+4i)}{(2-4i)(2+4i)}[/tex]
Multiply the terms in the numerator and denominator.
= [tex]\frac{8+16i+10i-20}{2^2+4^2}[/tex]
= (-12+26i) / 20
= (-12/20) + (26/20)i
Divide both numerator and denominator by common terms
= (-3/5) + (13/10)i
Hence, the division of (4+5i) / (2-4i) is performed by multiplying the numerator and denominator by 2+4i and the result of the given expression is (-3/5) + (13/10)i
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(2x+6)° (x+9)° find X
Answer:
sama sma tayi
Step-by-step explanation:
3×3()56(7)
what is the rate of. change for this ANd as a function
The rate of change of the function shown in the graph is $0.5 per minute.
What is rate of change?
The rate of change (ROC) measures how quickly a variable alters over a predetermined amount of time. When discussing momentum, the term "rate of change" is frequently used. It is typically defined as the ratio of a change in one variable to a matching change in another; visually, the rate of change is represented by the slope of a line. The Greek letter delta (Δ) is usually come in use to represent the ROC.
As shown in the graph,
The x-axis represents the minute and y-axis represents the cost.
and the cost is function of time.
For each 10 minute the cost increased $5
So, the cost is changing at a rate of $5 per 10 minute
$5 = 10 minutes
diving both side with 10
$0.5 = 1 minute
Therefore, the rate of change of the function shown in the graph is $0.5 per minute.
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Q10. Farmer John's apples were eaten by wasps, others were rotten and the rest were quality apples in the ratio 4: 10: 20 respectively. 20 apples had been eaten by wasps. a) How many rotten apples were there?
If wasps had eaten 20 apples then, 50 rotten apples were there and the rest of the apples were quality apples in the ratio of 4: 10: 20 respectively.
This is a problem from simple mathematical equations. We can solve this problem by following a few steps.
Let's consider x as the highest common factor of apples eaten by wasps, rotten and quality apples.
So, the number of apples eaten by wasps is, 4 × x = 4x
The number of rotten apples is, 10 × x = 10x
The number of quality apples is, 20 × x = 20x
As, we all know HCF of the numbers × ratio of numbers = The numbers
So, 4x = 20 as per the question.
Therefore, x = 5.
Now, we can write that the HCF is 5.
So, the number of rotten apples ≡ HCF × 10 = 5× 10 = 50.
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2. Using the vertical angle image from problem 1, let 42 = 4x-4 and 24 = x+50. (SHOW YOUR WORK and be
sure to answer ALL 3 parts!)
a. What is the value of x?
b. What would be the measure of < 2?
Then find the measure of <3.
Using the vertical angle image we get the following answers:
a) x = 18, b) ∠2 = 68°, c) ∠3 = 112°Given the equations are:
42 = 4x-4 and 24 = x+50.
According to vertical angles theorem, when two lines intersect the opposite angles are equal and adjacent angles are supplementary.
we know that,
∠2 = 4x-4 and ∠4 = x+50
a)To Find the value of x:
4x - 4 = x + 50
4x - x = 50 + 4
3x = 54
x = 54/3
x = 18
b) To Find the measure of ∠2:
∠2 = 4×18 - 4 = 72 - 4
= 68
c) Angles 2 and 3 are supplementary so their sum is 180°.
∠2 + ∠3 = 180
68 + ∠3 = 180
∠3 = 180 - 68
∠3 = 112°
Hence we get the required angles.
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Your question is incomplete. Please find the missing content here:
Using the vertical angle image from problem 1, let ∠2 = 4x-4 and ∠4 = x+50.
A. What is the value of x?
B. What is the measure of ∠2?
C. Find the measure of ∠3.
I have 35 apples and 30 oranges. What's the ratio of apples to oranges?
Let's begin by identifying key information given to us:
Numbers of apples = 35
Number of oranges = 30
Total number of fruits = 65
The ratio of apples to oranges is given by:
[tex]\begin{gathered} 35\colon30 \\ \text{Divide through both sides by the common factor ''5''. We have:} \\ \frac{35}{5}\colon\frac{30}{5}\Rightarrow7\colon6 \\ =7\colon6 \end{gathered}[/tex]What’s the answer plssss
Answer:
130 m
Step-by-step explanation:
See the attached, pleasantly presented, worksheet.
what is -10+3x>-16 inequality notation
The Inequality notation of the given equation 10+3x>-16 is x > -2
What is Inequality notation?
A mathematical statement known as an inequality expresses the relationship between two quantities while indicating that they are not completely equal. The four symbols used to represent inequality are. ≥, >,<, and ≤.
Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare the two values in inequality. Less than (or less than and equal to), greater than (and greater than or equal to), and also not equal to signs are used in place of the equal sign.
Consider the above equation.
-10 +3x > -16
Add 10 on both sides.
= -10+3x+10> -16+10
= 3x> -6
Divide by 3 to equation into both sides.
= [tex]\frac{3x}{3} > \frac{-6}{3}[/tex]
= x > -2
Inequality notation is x > -2
Interval Notation: [−2,∞)
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standard to slope intercept form
Answer:
y=-5x+7
Step-by-step explanation:
15x+3y=21
(15x+3y)/3=21/3
5x+y=7
5x+y-5x=7-5x
y=-5x+7
yeah
i'm probably wrong but its my best
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = - 5x + 7[/tex]
____________________________________
The given equation is :
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 15x + 3y = 21[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 3y = 21 - 15x[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{21}{3} - \frac{15}{3} x[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = - 5x + 7[/tex]
That's the required equation in slope intercept form, with slope (m) = -5, and y - intercept = 7
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
two is subtracted from a number, and then the diffrence is divided by 3. the result is 30
Answer:
Two is subtracted by a number:
n - 2
And then the difference is divided by 3:
(n - 2) / 3
The result is 30:
(n - 2) / 3 = 30
(n - 2 ) / 3 = 30
(n - 2) = 30 • 3
n - 2 = 90
n = 90 + 2
n = 92
The number is 92
...........................................
Answer:
-5 2
Step-by-step explanation:
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
The statements that are true about the quadratic function and its graph include the following:
The value of f(–10) = 82The graph of the function is a parabola.The graph contains the point (20, –8).How to determine the true statements about this function and its graph?In Mathematics, the graph of any quadratic function or equation always forms a parabola because it is a u-shaped curve. For the given quadratic function, the graph is a upward parabola because the coefficient of x² is positive i.e when the value of "a" is greater than zero.
Next, we would determine the statements about the quadratic function and its graph that are true:
At point (-10, 82), we have:
f(x) = 1/5 x² – 5x + 12
f(x) = x²/5 – 5x + 12
f(-10) = -10²/5 – 5(-10) + 12
f(-10) = 82
At point (20, -8), we have:
f(x) = 1/5 x² – 5x + 12
f(x) = x²/5 – 5x + 12
f(20) = 20²/5 – 5(20) + 12
f(20) = -8
In conclusion, the graph of this quadratic function does not contain the point (0, 0) as shown in the image attached below.
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Complete Question:
Consider the quadratic function f(x) = 1/5 x² – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER 2!!I NEED THIS BY **TODAY**
Answer:
(-2,10) (-1,7) (0,4) (1,1) (2,-2) (3,-5)
Step-by-step explanation:
see picture
A = x + y - 7 solve for x
Write the function for the graph.
The correct option is option B that is the function f(x) = 3 (4)ˣ.
A function may be defined as an expression in which for every input variable x there is only one output variable y. The input variable is known as independent variable and output variable is known as dependent variable. We need to find the function for the given graph. We have two points on the graph so we will satisfy the points in the options given options. The points are (0, 3) and (1, 12).
The first option is
f(x) = 3 (12)ˣ, after putting point (1, 12)
12 ≠ 3 (12), so it is not required function.
The second option is
f(x) = 3 (4)ˣ, after putting points (0, 3) and (1, 12)
3 = 3 and 12 = 12, so it is the required function.
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-3v + 5 (v - 2) = -6 solve for v and simplify your answer as much as possible
Answer: v = 2
Step-by-step explanation:
1. Distribute the 5 to the items within the parenthesis.
-3v + 5v - 10 = -6
2. Combine V terms and Isolate V from other terms.
2v = 4
3. Divide both sides by 2.
v = 2
The coordinates of the endpoints of MN are M(4,14) and N(13,8). Point O is on MN and divides it such that MO:NO is 2:1. What are the coordinates of O? Write your answers as integers or decimals. (, ) Submit
The coordinates of Point O that is on MN and divides it such that MO:NO is 2:1 is; (10, 10)
What are the coordinates that divide the line segment?We are given a line segment as MN with its' endpoint coordinates as;
M(4,14) and N(13,8)
Now, point O divides MN such that MO:NO is 2:1.
Now, the formula for the coordinate of the point that divides a line segment in the ratio a:b is;
(x, y) = (ax₂ + bx₁)/(a + b), (ay₂ + by₁)/(a + b)
Since point O is the point that divides the line segment in the ratio 2:1, we have;
O(x, y) = (2*13 + 1*4)/(2 + 1), (2*8 + 1*14)/(2 + 1)
O(x, y) = (30/3), (30/3)
O(x, y) = (10, 10)
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convert 45grade into degree measure
Answer:
45g = 40.5°
45g = 40° 30′ 0″
Name a pair of vertical angles.
The pair of vertical angles are
∠1 and ∠3∠2 and ∠4There are four angles made by the intersection of two lines. Those are ∠1, ∠2, ∠3 and ∠4
Vertical angles are the each of opposite angles formed when two lines meet each other at a point. So whenever two lines intersect each other four angles are formed and each set of opposite angles are called vertical angles
Here, two lines intersect each other and ∠1, ∠2, ∠3 and ∠4 are formed.
∠1,∠3 and ∠2,∠4 are the opposite angles
So the vertical angles are ∠1,∠3 and ∠2,∠4
Hence, the pair of vertical angles are
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identify the terms , constants , coefficients and variables in the equation 13x + 5y - 2 = 3
Answer: 13 and 5= coeeficients, x and y = variables, -2 and 3 =constants
Step-by-step explanation:
If jummai is 12years old and Tunde is 8years old and they share 15bananas in the ratio of their ages how many will each have show calculation
Jummai and Tunde will each have 9 and 6 bananas respectively.
For the given ratio case we use the sharing ratio criterion to solve the problem.
Jummai is 12 years old.
Tunde is 8 years old.
Their ages are in ratio of;
A = 12 : 8
A = 3 : 2
The ratio's sum is 5.
15 bananas total are available for sharing.
Jummai will have [tex]x\\[/tex] bananas [tex]x[/tex] = (15 x 3/5) = 9
Tunde will have [tex]y[/tex] bananas [tex]y[/tex] = (15 x 2/5) = 6
Jummai and Tunde will each have 9 and 6 bananas with them.
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seven more than three times a number is 25 what is the number? please help asap thank u so much
Answer:
n = 10
Step-by-step explanation:
(10 * 3) + 7 = 37
Answer: 6
Step-by-step explanation:
With these type of problems, it is best to work backwards.
1. Because of the seven more, you subtract 7 from 25. This gives you 18.
2. Then it says three times, this means to divide by 3. 18/3 is 6
3. Your final answer is 6
Proving the answer is 6:
1. 3 [tex]*\\[/tex] 6 = 18
2. 18 + 7 = 25
Which of the following values are solutions to the inequality -5 < 9- 6x?
None
II only.
I and II
O II and III
-6 II. 3
I. - 6
O I only
O III only
I and III
O I, II and III
III. - 1
The solutions to the inequality -5 < 9 - 6x is x ≤ 7/3.
What is inequality?
In mathematics, the term 'inequality' is defined as a statement or equation with an ordered relationship like greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given inequality is,
-5 < 9- 6x
Adding 5 both the side we get,
5 - 5 < 9 - 6x + 5
⇒ 0 < 14 - 6x
⇒ 14 - 6x > 0
Dividing both the side by 6 we get,
⇒ 14 < 6x
⇒ x > 14/6 = 7/3
or, x ≤ 7/3
this is the required solution of the given inequality.
Thus, the solutions to the inequality -5 < 9 - 6x is x ≤ 7/3.
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16
4 points
(A.2A)
You are a part of a sports team that has at least 5 players but no more than 9 on a team. Your cleats for the team cost $15 each and can be represented by the function f(x) 15x where x
is the number of cleats. What is the range of this scenario?
RANGE:
The range of the function, f(x), that gives the total cost of the cleats of given that each cleat costs $15 and the number of cleats, x, is 5 ≤ x ≤ 9 is RANGE: [75, 135]
What is the range of a function?The range of a function is the set containing the output values that are obtainable with the function.
The given parameters are;
The number of players, n, in the sports team is; 5 ≤ n ≤ 9
The given cost of one cleat = $14
The function that represents the total cost of the cleats for the team is f(x) = 15•x
Given that each team member is given one cleat, we have;
Number of cleats is 5 ≤ x ≤ 9
The range of values for the total cost of the cleats is therefore;
15 × 5 ≤ f(x) ≤ 15 × 9
75 ≤ f(x) ≤ 135, which using interval notation gives;
RANGE: [75, 135]
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HELP PLS IS DUE AT 10PM
Answer:
AS shown in the purse
Step-by-step explanation:
A. The school attendance happens in the sixth week
B. A(13) ≈ 42$
meaning : In the Thirdteenth week. The student attendance rate is 425
C. A(x)=400 =) x = 10
in the tenth week.The student attendance rate is 400
D.in the fourth week the least attendance nce.
E. It has 450 students
The number of attendance increased to 450.
And the area was flat
I need help with this please thank you
∠UXS = 135° is the value on transversal line.
What is a transversal angle?
When a transversal splits two parallel lines, the two intersections create a number of angles. Transversal angles are what those are.A transversal is a line that crosses a network of lines, according to the definition. Transversals include, for instance, a line that crosses a set of two parallel lines.A transversal line is one that crosses two other lines at two different locations.Line l meets a and b in the picture below at two different locations, P and Q. Line l is the transversal line as an outcome.∠RXU = 45°
∠UXS = ?
As we know that a line make 180 degree angle on it.
So, ∠UXS + ∠RXU = 180°
∠UXS = 180° - ∠RXU
∠UXS = 180° - 45°
= 135°
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Which of the following expressions is equivalent to 2x + 3?
6(2)x
8(2)x
the quantity 2 to the power of x end quantity over 6
the quantity 2 to the power of x end quantity over 8
The expressions which is equivalent to 2x + 3 would be 4x + 6.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions. To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
We need to find the expressions which is equivalent to 2x + 3
Thus, we will Use the Distribute Property of Multiplication by multiplying the number outside the parenthesis with the numbers inside.
Let the expression be multiplying by 2 then;
2(2x + 3)
4x + 6
Hence, we can say that the expressions which is equivalent to 2x + 3 would be 4x + 6.
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What’s r^2-15=t+19 as a sentence?
Answer:
solve the following system of equations by using gauss elimination method