To find the 4th term of (x-2y)^6, you can use the binomial expansion formula. The 4th term is 240x^2y^4.
To find the 4th term of (x-2y)^6, we can use the binomial expansion formula. The formula is: (a+b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nC(n-1) * a^1 * b^(n-1) + nCn * a^0 * b^nIn this case, a = x, b = -2y, and n = 6. So we have: (x-2y)^6 = 6C0 * x^6 * (-2y)^0 + 6C1 * x^5 * (-2y)^1 + 6C2 * x^4 * (-2y)^2 + 6C3 * x^3 * (-2y)^3 + 6C4 * x^2 * (-2y)^4 + 6C5 * x^1 * (-2y)^5 + 6C6 * x^0 * (-2y)^6To find the 4th term, we need to find the term with the exponent of x^2 * (-2y)^4. This occurs when nCr = 6C4. Using the formula, we have: 6C4 = 6! / (4! * 2!) = 15Therefore, the 4th term of (x-2y)^6 is 15 * x^2 * (-2y)^4, which simplifies to 15x^2 * 16y^4 = 240x^2y^4.
To find the 4th term of (x - 2y)^6, we can use the binomial expansion formula.
Explanation:To find the 4th term of (x - 2y)^6, we can use the binomial expansion formula.
The formula is: (a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nCn * a^0 * b^n
Where nCk represents the binomial coefficient, which can be calculated as n! / (k! * (n-k)!)
In this case, a = x and b = -2y.
The exponents will go from 6 down to 0, and we need to find the term with k = 4.
Let's substitute these values into the formula:
(x - 2y)^6 = 6C0 * x^6 * (-2y)^0 + 6C1 * x^5 * (-2y)^1 + 6C2 * x^4 * (-2y)^2 + 6C3 * x^3 * (-2y)^3 + 6C4 * x^2 * (-2y)^4 + 6C5 * x^1 * (-2y)^5 + 6C6 * x^0 * (-2y)^6
To find the 4th term, we look at the term with k = 4. Using the binomial coefficient:
6C4 = 6! / (4! * (6-4)!)
= 15
Substituting this back into the formula, we get:
15 * x^2 * (-2y)^4
The table shows the distance traveled over time while traveling at a constant speed.

What is the ratio of the change in y-values to the change in x-values?
1:900
1:1,200
900:1
1,200:1
Answer: Last option.
Step-by-step explanation:
You can observe in the table provided that the values of "x" represent the time in minutes and the values of "y" represent the distance in meters.
Then, in order to find the ratio of the change in y-values to the change in x-values, you can divide any value of "y" (distance) by its corresponding value of "x" (time).
So, this is:
[tex]\frac{2,400}{2}=\frac{1,200}{1}[/tex]
Since the ratio can also be written in the form [tex]a:b[/tex], you get:
[tex]1,200:1[/tex]
Answer:
D) 1,200 meters per minute
Step-by-step explanation:
do you know the answer plz help me and thank you if you know the answer
Answer: 8 remainder 2
Step-by-step explanation:
3 • 8 = 24
26 - 24 = 2
Your answer is 8 with a remainder of 2
Answer:
8 r2
Step-by-step explanation:
Which polygon has an interior angle sum of 1080°?
Step-by-step explanation:
The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.Answer:
Octagon
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides, so
180° (n - 2) = 1080° ( divide both sides by 180° )
n - 2 = 6 ( add 2 to both sides )
n = 8 ← octagon
Classify the flowing triangle
Answer:
A: Scalene - None of the sides are congruent or have the same measurements.
E: Acute - None of the triangle's angles are 90° or greater.
~
Here is a table of values for y = f(x).
x 0 5 10 15 20 25 30 35 40
f(x) 5 6 7 8 9 10 11 12 13
Mark the statements that are true.
A. 5) = 6
B. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13).
O
C. The range for fx) is all real numbers.
D. f15) = 8
Answer:
A, D
Step-by-step explanation:
for this table:
x 0 5 10 15 20 25 30 35 40
f(x) 5 6 7 8 9 10 11 12 13
A, assuming it's supposed to say f(5)=6, is true since 5 in x corresponds to 6 in f(x)
B is false, since the domain would be the set of all numbers in x, since domain corresponds to input (x) and range corresponds to output (f(x))
C is false, the range is not all real numbers since it is a defined set of numbers
D is true, since 15 in x corresponds to 8 in f(x)
Therefore, A and D are true
The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below.
distance
(1,40)
(2,110)
(4,180)
(6,230)
(8,350)
(10,390)
Elapsed Time (hours)
During which interval was their average speed the greatest?
(1) the first hour to the second hour
(2) the second hour to the fourth hour
(3) the sixth hour to the eighth hour
(4) the eighth hour to the tenth hour
The average speed is the ratio of the total distance traveled to the time taken
The correct option for the interval with the greatest average speed is option (1) the first hour to the second hour
The procedure by which the above option was arrived at is as follows:
The given table of values for the graph is presented as follows;
[tex]\begin{array}{|c|cc|} \mathbf{Time}&&\mathbf{Distance}\\1&&40\\2&&110\\4&&180\\6&&230\\8&&350\\10&&390\end{array}\right][/tex]
[tex]Average \ speed = \dfrac{Distance}{Time}[/tex]
The average speed of each interval in distance per hour are given as follows;
[tex]First \ and \ second \ hour, \ average \ speed = \dfrac{110 - 40}{2 - 1} = 70[/tex]
[tex]Second \ and \ fourth \ hour, \ average \ speed = \dfrac{180 - 110}{4 - 2} = 35[/tex]
[tex]Sixth \ and \ eight \ hour, \ average \ speed = \dfrac{350 - 230}{8 - 6} = 60[/tex]
[tex]Eight \ and \ tenth \ hour, \ average \ speed = \dfrac{390 - 350}{10 - 8} = 20[/tex]
Therefore the interval in which their average speed was the greatest is the first hour to the second hour
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The hypotenuse of a 45°-45°-90° triangle measures 128 cm. What is the length of one leg of the triangle? 64 cm cm 128 cm cm
Answer:
Answer 64*sqrt(2)
Step-by-step explanation:
Givens
c = 128 cm
a = b = ??
formula
a^2 + b^2 = c^2 combine the two equal legs.
2a^2 = c^2 Substitute 128 for c
2a^2 = 128^2 Square
2a^2 = 16384 Divide by 2
a^2 = 16384/2
a^2 = 8192 Factor (8192)
8192 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 count the 2s
8192 = 2^13 Break 13 into 2 equal values with 1 left over
sqrt(8192) = sqrt(2^6 * 2^6 * 2^1)
sqrt(8192) = 2^6 * sqrt(2)
The length of one leg is 64*sqrt(2)
Answer:
Length of one leg of the given triangle will be 64√2 cm.
Step-by-step explanation:
Length of the hypotenuse of a 45°- 45°- 90° triangle has been given as 128 cm.
Since two angles other than 90° are of same measure so other two sides of the triangle will be same in measure.
Therefore, by Pythagoras theorem,
Hypotenuse² = Leg(1)² + Leg(2)²
Let the measure of both the legs is x cm
(128)² = 2x²
16384 = 2x²
x² = [tex]\frac{16384}{2}[/tex]
x² = 8192
x = √8192
= 64√2 cm
Therefore, length of one leg of the given triangle will be 64√2 cm.
The lunch lady has 5 pounds of lasagna left over. If she
makes 1 pound servings, how many servings of lasagna
can she serve with the amount left over?
With 5 pounds of lasagna, where each serving is 1 pound, the lunch lady can make 5 servings of lasagna.
Explanation:The subject of this question is simple division in Mathematics. The problem states that the lunch lady has 5 pounds of lasagna left over and each serving is 1 pound. So, to find out how many servings of lasagna can be made, we divide the total amount of lasagna (5 pounds) by the size of each serving (1 pound).
5 pounds / 1 pound per serving = 5 servings
Therefore, the lunch lady can serve 5 servings of lasagna with the amount left over.
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g(x) = x3 + 6x2 + 12x + 8
Determine the function's value when x = -1
g(x)
g(-1) = -3
9(-1) = 0
9(-1) = 1
g(-1) = 27
64
125
Answer:
g(-1) = 5 - 4 = 1
Step-by-step explanation:
Please use " ^ " to denote exponentiation: g(x) = x^3 + 6x^2 + 12x + 8.
Substitute -1 for x in this equation: g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
Then: g(-1) = -1 + 6 - 12 + 8, or
g(-1) = 5 - 4 = 1
Answer:
The answer is C
Step-by-step explanation:
I just took the test and got it right.
Hopefully this helps you :)
pls mark brainlest ;)
Joshua likes to read he read 6 books when he was 6 years old every year he doubled the number of book he read the previous year how many total books did he read between the ages of 6 and 10?
When Joshua Is 6 he reads 6 books, when he is 7 he reads 12 books, when he turns 8, he reads 24 books, when he turns 9 he reads 48 books, when Joshua turns 10 he reads 96 books
6+12+24+48+96=186
The answer is C
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Answer:
Joshua read 186 books form 6 to 10 years of age.
Step-by-step explanation:
Joshua reads 6 books at the age of 6.
He doubled the number of books he read the previous years.
Now the sequence will be a geometric sequence as
6, 12, 24, ......
We have to calculate the number of books he read from 6 years to 10 years of his age.
Since sum of n terms of a geometric sequence is given by
[tex]S_{n}=\frac{a(r^{n}-1 )}{r-1}[/tex]
where a = first term
r = common ratio
n = number of terms
[tex]S_{5}=\frac{6(2^{5}-1 )}{2-1}[/tex]
= [tex]\frac{6(32-1)}{1}[/tex]
= 6×31
= 186 books
Therefore Joshua read 186 books form 6 to 10 years of age.
5 - 7 second power + 6 - 7 second power + 5 - 7 second power + 6 - 7 second power + 10 - 7 second power + 10 - 7 second power
ANSWER: -252
HOW TO GET IT:
Simply follow PEMDAS. Solve each exponent first, then do the rest.
Answer:
144
Step-by-step explanation:
5-7 = 2 2^2 + 6 = 10 - 7 = 3^2 = 9 + 10 = 19 - 7 = 12^2 = 144
I hope this helps even if I am too late! :)
Scenario:
A rectangular plot of ground is 5 meters longer than it is wide. Its area is 20,000 square meters.
Question:
What equation will help you find the dimensions?
Note: Let W represent the width.
Options:
w(w+5)=20,000
w^2=20,000+5
(w(w+5))/2=20,000
w+2(w+5)=20,000
To find the area you multiply the length by the width.
W = the width, and you are told the length is 5 meters longer, so the length would be (W +5)
Now multiply those together to equal 20,000 square meters:
w(w+5) = 20,000
What is the solution set of the quadratic inequality f(x) greater than or equal to 0
ANSWER
{[tex]x | x \in \: R[/tex]}
EXPLANATION
From the graph, the given quadratic inequality is
[tex] {(x + 3)}^{2} \geqslant 0[/tex]
We can see that the corresponding quadratic function is a perfect square.
Since the graph opens upwards and it is always above the x-axis, any real number you plug into the inequality, the result is greater than or equal to zero.
Hence the solution set is
{[tex]x | x \in \: R[/tex]}
The correct answer is A
Solve the equation log4(x + 20) = 3
Answer:
x = 44
Step-by-step explanation:
log4(x + 20) = 3
Raise each side to the power of 4
4^ log4(x + 20) = 4^3
x+20 = 4^3
x+20 = 64
Subtract 20 from each side
x+20-20 = 64-20
x = 44
subtract the polynomials (3x^2-11x-4)-(x-2)(2x+3)
Answer:
[tex]x^2-10x+2[/tex]
Step-by-step explanation:
Multiply out the two monomials first because of PEMDAS.
[tex](-x + 2) * (2x + 3)=-2x^2+x+6[/tex]
Now add them together.
[tex]3x^2-11x-4-2x^2+x+6=x^2-10x+2[/tex]
Which of the symbols correctly relates the two numbers ?
Answer:
C. >
Step-by-step explanation:
The answer is C. because 65 is greater than 56!
The measure of one angle of a right triangle is 44∘ more than the measure of the smallest angle. Find the measures of all three angles.
Answer:
Smallest angle = 23
Middle angle = 23 + 44 = 67
Right angle = 90
Step-by-step explanation:
Givens
Let the smallest angle = x
Let the middle angle = x + 44
Let the right angle = 90 which it always does.
All triangles = 180 degrees.
Equation
x + x + 44 + 90 = 180
Solution
2x + 44 + 90 = 180 Combine the left
2x + 134 = 180 Subtract 134 from both sides
2x +134-134 = 180 - 134 Combine
2x = 46 Divide by 2
2x/2 = 46/2 Do the division
x = 23
What is the measure of arc AC? Enter your answer in the box. AC is (7x-2) degrees. ABC is inscribed with (2.5x + 4) degrees
Answer:
The measure of arc AC is equal to 33°
Step-by-step explanation:
we know that
The inscribed angle measures half that of the arc comprising
so
∠ABC=(1/2) arc AC
substitute the values
(2.5x+4)=(1/2)(7x-2)
solve for x
5x+8=7x-2
7x-5x=8+2
2x=10
x=5
Find the measure of arc AC
arc AC=(7(5)-2)=33°
Final answer:
The measure of arc AC can be calculated by using the inscribed angle theorem and solving the equation 2×(2.5x + 4) = 7x - 2, which represents the relationship between the inscribed angle and its intercepted arc.
Explanation:
To determine the measure of arc AC, we need to consider the relationship between the inscribed angle of a circle (ABC in this case) and the corresponding arc (arc AC).
By the inscribed angle theorem, the measure of an inscribed angle is half the measure of its intercepted arc. This relationship allows us to set up the equation (2.5x + 4) degrees = 0.5×((7x-2) degrees).
By solving this equation, we can find the value of x, and consequently, the measure of arc AC.
substitute the values
(2.5x+4)=(1/2)(7x-2)
solve for x
5x+8=7x-2
7x-5x=8+2
2x=10
x=5
Find the measure of arc AC
arc AC=(7(5)-2)=33°
Please help !!!!!urgent !!!!!Which statement is true according to the diagram ??
Answer:
the second one
What is the quadratic function to these three points (-1,-11), (0,-3), and (3,-27)
Answer:
y = -4x² + 4x -3
Step-by-step explanation:
The standard form of quadratic equation is:
y = ax² + bx + c
We need to use the points given to find the value of a, b and c
We are given point (-1,-11) where x =-1 and y=-11 putting values in the above equation
y = ax² + bx + c
-11 = a(-1)² + b(-1) +c
-11 = a -b+c eq(1)
Now putting the point(0, -3) where x =0 and y =-3
y = ax² + bx + c
-3 = a(0)² + b(0) + c
-3 = 0 + 0 + c
=> c = -3
Now Putting the point (3, -27) where x =3 and y = -27
y = ax² + bx + c
-27 = a(3)² +b(3) + c
-27 = 9a + 3b + c eq(2)
Putting value of c= -3 in eq(2)
-27 = 9a + 3b -3
-27 +3 = 9a +3b
-24 = 9a + 3b
=> 3(3a+b) = -24
3a + b = -24/3
3a + b = -8 eq(3)
Putting value of c= -3 in eq(1)
-11 = a -b+c
-11 = a -b -3
-11 + 3 = a - b
-8 = a - b
=> a - b = -8 eq(4)
Now adding eq(3) and eq(4)
3a + b = -8
a - b = -8
__________
4a = -16
a = -16/4
a = -4
Putting value of a in equation 4
a - b = -8
-4 -b = -8
-b = -8+4
-b = -4
=> b = 4
The values of a , b and c are a= -4, b =4 and c= -3
Putting these values in standard quadratic equation
y = ax² + bx + c
y = -4x² + 4x -3
If sin θ=24/25 and 0 less than or equal to θ less than or equal to π/2, find the exact value of tan 2θ.
Answers;
A) -527/336
B) -336/527
C)7/24
D) 24/7
Answer:
Option B. [tex]tan(2\theta)= -\frac{336}{527}[/tex]
Step-by-step explanation:
we know that
[tex]tan(2\theta)= \frac{sin(2\theta)}{cos(2\theta)}[/tex]
[tex]sin(2\theta)=2(sin(\theta))(cos(\theta))[/tex]
[tex]cos(2\theta)=cos^{2}(\theta)-sin^{2}(\theta)[/tex]
[tex]cos^{2}(\theta)+sin^{2}(\theta)=1[/tex]
we have
[tex]sin(\theta)=\frac{24}{25}[/tex]
step 1
Find the value of cosine of angle theta
[tex]cos^{2}(\theta)+sin^{2}(\theta)=1[/tex]
[tex]cos^{2}(\theta)+(\frac{24}{25})^=1[/tex]
[tex]cos^{2}(\theta)=1-\frac{576}{625}[/tex]
[tex]cos^{2}(\theta)=\frac{49}{625}[/tex]
[tex]cos(\theta)=\frac{7}{25}[/tex]
The value of cosine of angle theta is positive, because angle theta lie on the I Quadrant
step 2
Find [tex]sin(2\theta)[/tex]
[tex]sin(2\theta)=2(sin(\theta))(cos(\theta))[/tex]
we have
[tex]sin(\theta)=\frac{24}{25}[/tex]
[tex]cos(\theta)=\frac{7}{25}[/tex]
substitute
[tex]sin(2\theta)=2(\frac{24}{25})(\frac{7}{25})[/tex]
[tex]sin(2\theta)=\frac{336}{625}[/tex]
step 3
Find [tex]cos(2\theta)[/tex]
[tex]cos(2\theta)=cos^{2}(\theta)-sin^{2}(\theta)[/tex]
we have
[tex]sin(\theta)=\frac{24}{25}[/tex]
[tex]cos(\theta)=\frac{7}{25}[/tex]
substitute
[tex]cos(2\theta)=(\frac{7}{25})^{2}-(\frac{24}{25})^{2}[/tex]
[tex]cos(2\theta)=(\frac{49}{625})-(\frac{576}{625})[/tex]
[tex]cos(2\theta)=-\frac{527}{625}[/tex]
step 4
Find the value of [tex]tan(2\theta)[/tex]
[tex]tan(2\theta)= \frac{sin(2\theta)}{cos(2\theta)}[/tex]
we have
[tex]sin(2\theta)=\frac{336}{625}[/tex]
[tex]cos(2\theta)=-\frac{527}{625}[/tex]
substitute
[tex]tan(2\theta)= -\frac{336}{527}[/tex]
By using the Pythagorean identity and the double angle identity for tangent, it is found that the value of tan 2θ when sin θ =24/25 and 0 ≤ θ ≤ π/2 is -527/336.
Explanation:In the field of Mathematics, particularly in trigonometric equations, the problem given is asking for the value of tan 2θ, given that sin θ=24/25 and 0 ≤ θ ≤ π/2.
Firstly, we can find cos θ by using the Pythagorean identity sin²θ + cos²θ = 1. This gives us cos θ = sqrt (1 - sin²θ) = sqrt (1 - (24/25)²) = 7/25.
Then, knowing that tan θ = sin θ/cos θ, we can plug in these values to get tan θ = (24/25) / (7/25) = 24/7. Finally, using the double angle identity for tan (tan 2θ = 2 tan θ / (1 - tan²θ)), we can find that tan 2θ = 2(24/7) / (1 - (24/7)²) = -527/336.
So, the exact value of tan 2θ when sin θ =24/25 and 0 ≤ θ ≤ π/2 is -527/336, which is answer option A.
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A takes 3 hours more than B to walk 30 km. But if A doubles his pace, he is ahead of B by 3/2 hours . Find their speed of walking.
Answer:
Initial speed:
A: [tex]\displaystyle \rm \frac{10}{3}\; km/ h[/tex].B: [tex]\rm 5\; km/ h[/tex].Step-by-step explanation:
Both equations are concerned about the time differences between A and B. To avoid unknowns in the denominators,
let [tex]x[/tex] be the initial time in hours for A to walk 30 km, andlet [tex]y[/tex] be the time in hours for B to walk 30 km.First equation:
"A takes 3 hours more than B to walk 30 km."
[tex]x = y + 3[/tex].
[tex]x - y = 3[/tex].
When A doubles his pace, he takes only 1/2 the initial time to cover the same distance. In other words, now it takes only [tex]x/2[/tex] hours for A to walk 30 km.
Second equation:
"[A] is ahead of B by 3/2 hours [on their 30-km walk.]"
[tex]\displaystyle \frac{x}{2} + \frac{3}{2} = y[/tex].
[tex]\displaystyle \frac{1}{2}x - y = -\frac{3}{2}[/tex].
Hence the two-by-two linear system:
[tex]\left\{\begin{aligned}&x - y = 3\\&\frac{1}{2}x - y = -\frac{3}{2}\end{aligned}\right.[/tex].
Solve this system for [tex]x[/tex] and [tex]y[/tex]:
Subtract the second equation from the first:
[tex]\displaystyle \frac{1}{2}x = \frac{9}{2}[/tex].
[tex]x = 9[/tex].
[tex]y = 6[/tex].
It initially takes 9 hours for A to walk 30 kilometers. The initial speed of A will thus be:
[tex]\displaystyle v = \frac{s}{t} = \rm \frac{30\; km}{9\; h} = \frac{10}{3}\; km/h[/tex].
It takes 6 hours for B to walk 30 kilometers. The speed of B will thus be:
[tex]\displaystyle v = \frac{s}{t} = \rm \frac{30\; km}{6\; h} = 5\; km/h[/tex].
Express the fraction 2/7 as a rounded decimal?
Answer:
Pick an answer from below.
Step-by-step explanation:
Rounded to which place?
2/7 = 0.285714285714...
Nearest tenth: 0.3
Nearest hundredth: 0.29
Nearest thousandth: 0.286
Nearest ten-thousandth: 0.2857
etc.
Answer:
0.29
Step-by-step explanation:
To convert fractions to decimals, divide the numerator by the denominator.
2/7= 0.285
Round 0.285 to 0.29
Which is a trait of all seed plants?
Answer:
All seed plants share two characteristics. They have vascular tissue and use seeds to reproduce. In addition, they all have body plans that include leaves, stems, and roots. Most seed plants live on land.
Step-by-step explanation:
All seed plants have the ability to produce seeds. Seeds contain an embryo and stored food and can withstand harsher conditions, staying dormant until conditions for growth are ideal. This trait is seen across all seed plants, which includes both gymnosperms and angiosperms.
Explanation:All seed plants, also known as spermatophytes, share a key characteristic that they have the ability to produce seeds. This is a common trait and allows seed plants to reproduce. Seeds contain an embryo and stored food wrapped in a protective coat. They can withstand harsher conditions and can stay dormant until the conditions for growth are favorable. Seed plants include gymnosperms, such as conifers, and angiosperms, which are flowering plants.
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Triangle ABC is a right triangle. Find the measure of side b. Round to the nearest hundredth.
A) 6.13 cm
B) 6.71 cm
C) 9.53 cm
D) 10.54 cm
E) 12.45 cm
Answer:
Applying the trigonometric functions, 8/b=Tan40
b=8/Tan40
Answer:
C) 9.53 cm
Step-by-step explanation:
We know this is a right triangle, so we can use trig relations
tan A = opposite side/ adjacent side
tan 40 = 8/b
Multiply each side by b
b tan 40 = 8
Divide each side by tan 40
b tan 40 / tan 40 = 8 / tan 40
b = 8/ tan 40
b = 9.534028741
What is the value of –2|6x – y| when x = –3 and y = 4?
Answer:
-44
Step-by-step explanation:
We have the expression
[tex]-2|6x - y|[/tex]
We need to find the value of the expression when x = -3 and y = 4
Then we must replace the variable with the number -3 and the variable y with the number 4
This is:
[tex]-2|6(-3) - (4)|[/tex]
[tex]-2|-18 - 4|[/tex]
[tex]-2|-22|[/tex]
Remember that the absolute value always results in a positive number.
So
[tex]-2|-22| = -2(22)=-44[/tex]
the answer is -44
Answer:
The correct answer is -44
Step-by-step explanation:
Points to remember
|x| = x
|-x| = x
To find the value of –2|6x – y|
We have –2|6x – y| When x = -3 and y = 4
Substitute the value of x and y
–2|6x – y| = –2|(6 * -3) – 4|
= -2|-18 - 4|
= -2|-22|
= -2 * 22
= -44
Therefore the value of –2|6x – y| when x = -3 and y = 4
–2|6x – y|
Write the real number 12 as a complex number in form of a+bi
[tex]12+0i[/tex]
.....................
Answer:
12+0i
Step-by-step explanation:
The temperature at 9 a.m. is 2 degrees. The temperature rises 3 more degrees by noon. Which expression describes the temperature at noon?
Answer:
2+3
Step-by-step explanation:
The product of the polynomials (2ab + b) and (a2 – b2)
Answer:
= 2a³b - 2ab² + a²b - b³
Step-by-step explanation:
We multiply the each term in the first polynomial by each in the other as follows.
2ab(a² - b²) + b(a² - b²)
We then open the brackets and get the following.
2a³b - 2ab² + a²b - b³
We can not simplify the product further than this since it has no like terms.
Answer:
First is C
Second is 2
Step-by-step explanation:EDGE 2021
A home improvement store advertises 60 square feet of flooring for $253.00, plus an additional $80.00 installation fee. What is the cost per square foot for the flooring?
A. $4.95
B. $5.25
C. $5.55
D. $6.06
Answer:
your answer is C.$5.55
Step-by-step explanation:
cost of square feet flooring is $253.00cost of additional installation fee $80.00NOW TAKE THE TOTAL OF BOTH,THEN WE GET
$253+$80=333NOW DO THE DIVIDE OF 333 BY 60, THEN WE GET
333/60=$5.55