Answer:
(w + 3) [7w² - 3]
Step-by-step explanation:
Given expression:
7w²(w + 3) - 3(w + 3);
Now rewriting the equation by factoring out (w+ 3);
Solution:
7w²(w + 3) - 3(w + 3);
= (w + 3) [7w² - 3]
The solution is (w + 3) [7w² - 3]
Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?
Answer:
[tex]-\frac{7}{25}[/tex]
Step-by-step explanation:
Value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
What is trigonometric ratio?" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."
Identity used
[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]
According to the question,
Given value of trigonometric ratio,
[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]
Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,
[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]
Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex] the trigonometric identity ,
[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]
Hence , value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
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Xander goes to the movies with his soccer team. Each team member buys a ticket and two
boxes of popcorn. There are 13 team members.
Let t represent the cost of a ticket and p represent the cost of a box of popcorn.
a) Write two different expressions that represent the total amount the team spent.
b) Explain how each expression describes the situation in a different way.
Given that, the cost of a ticket = t and
cost of a box of popcorn = p.
Total members in the team = 13
As each team member buys 1 ticket and 2 boxes of popcorn, so, the amount spent by one member, [tex]C_1 = t+2p[/tex]
So, the total amount that the team spent [tex]= 13C_1[/tex]
(a) So, the first expression, representing the total amount spent by the team, is
[tex]13\times (t+2p)\cdots(i)[/tex]
On simplification, the second expression, representing the total amount spent by the team, is
[tex]13\timest + 13\times (2p)[/tex]
[tex]=13t+26p\cdots(ii)[/tex]
(b) The expression from the equation (i) represent the total amount spent as 13 times the expenses of one member, while equation (ii) is the sum of two terms where the first term, 13t, represents the total amount spent for buying the ticket and the second term, 26p, represents the total amount spent for buying popcorn
PLEASE HELP!! i will mark brainliest!!
The measure of angle JKL can be represented using the expression 3x + 5.
Answer:
The measure of ∠JKL is 65°
Step-by-step explanation:
Consider the provided diagram.
We need to find the degree measure of ∠JKL.
It is given that ∠JKM=45° and ∠MKL=x°
Also it is given that the measure of angle JKL can be represented using the expression 3x + 5.
Thus ∠JKL=3x+5
From the figure it can be concluded that ∠JKL is equal to the sum of ∠JKM and ∠MKL
This can be written as:
∠JKL = ∠JKM+∠MKL
Substitute the respective values in the above equation.
3x+5 = 45+x
Subtract x and 5 from both the sides.
3x+5-x-5 = 45+x-x-5
2x = 40
x = 20
Thus, the measure of ∠MKL=20°
Substitute the value of x in ∠JKL = 3x+5.
∠JKL = 3(20)+5
∠JKL = 60+5
∠JKL = 65
Hence, the measure of ∠JKL is 65°
Kyle has 22 more cards than 3 times the number of cards that Stan owns. Together, they own less than 58 cards. How many cards are in stand collection?
A- Stan owns 9 cards or less
B- Stan owns 9 cards or more
C- Stan owns less than 9 cards
D- Stan owns more than 9 cards
Answer:
i think the answer is c
Step-by-step explanation:
22x3=66 66-58=8
In stand collection, Stan owns less than 9 cards.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Let x represnets the number of Kyle's cards and y be the number of Stan's cards.
We know that Kyle has 22 more cards than 3 times the number of cards that Stan owns, so:
k = 3s + 22 equation (1)
We also knows that together, they own less than 58 cards, so:
k + s < 58 equation (2)
Replace (1) in (2) and solve for :
s + 3s + 22 <58
s <58
Hence, Stan owns less than 9 cards.
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What is the answer to this????
Answer:8
Step-by-step explanation:
Answer:
8 rows of art
Step-by-step explanation:
try ur best
FRIEND ME :p
Answer:
6Step-by-step explanation:
If Kevin has 4 more points
than Carl, and then Tom has
2 fewer points than Carl, then Kevin
had 6 more points than all of Tom's points.
Hope this helps! <3
Identify a line that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original.
Answer:
The correct option is;
y = 6
Step-by-step explanation:
The reflection of the figure of a preimage over a line of symmetry will form an image that the same coordinates as the preimage.
The line of symmetry is a line or axis that goes through the geometric figure's center and outlines the division of the the figure into two identical, symmetrical parts
The appearance of the figure on one side of the line of symmetry is a reflection of the image on the other side of the line of symmetry
In the figure included in the question, given that the shape of the figure is a rectangle the line of symmetry will be a line passing through the midpoint of a chosen side and parallel to the side adjacent to the chosen side
Therefore, the lines of symmetry are x = 4.5 and y = 6. Therefore, the most correct of the given options is y = 6.
Option A will represent the line of reflection.
A rectangle has two pairs of vertices. If one pair reflects over a line in such a way that it replaces the other pair, line is said to be the line of reflection.
If the pair of points A,B replaces the other pair C,D, line of reflection will be y = 6.
Similarly, the pair of vertices A,C replaces other pair B,D, line of reflection will be x = 4.5.
Therefore, line given in Option A will represent the line of reflection.
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If Kiran solves the equation for p, which equation would result?
Answer: i have a answer but it is not up there srry
Step-by-step explanation:
fill in the space to complete to equality:
3v-v²=v(__)
Answer:
3v-v² = v(3-v)
Step-by-step explanation:
Use distributive property on the right side of the equality.
what is the slope of (19,14) & (21,19)
Step-by-step explanation:
Hey there!
Given; The points are; (19,14) and (21,19).
Note: Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{19 - 14}{21 - 19} [/tex]
Simplify it.
[tex]m = \frac{5}{2} [/tex]
Therefore, slope(m)= 5/2.
Hope it helps...
Answer:
slope = 5/2
Step-by-step explanation:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]\frac{19-(14)}{21-(19)}[/tex]
m=[tex]\frac{5}{2}[/tex]
Tyler bought a jacket regularly priced $35.00.
With a 30% markdown and a sales tax of 6%, approximately what is the cost of Tyler's jacket?
Answer:
$25.97
Step-by-step explanation:
You want to find 70% of $35.00 because there is a 30% markdown meaning 70% of the original price. 70% is the same as 7/10.
to get the price after markdown multiply $35.00 by 7/10 which equals $24.5
Multiply $24.5 by .06 to get the sales tax which is $1.47
So the sales tax is $1.47 and the price after markdown is $24.5 so take the sum of both. $1.47 + $24.5 = $25.97
The cost of Tyler's jacket is $23.03.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Tyler bought a jacket regularly priced $35.00.
With a 30% markdown, the cost of jacket is
30% of 35
= 30/100 ×35
= 0.3×35
= 10.5
So, the cost of jacket is 35-10.5=$24.5
Now, sales tax on $24.5
That is, 6% of $24.5
= 6/100 ×24.5
= 0.06×24.5
= 1.47
Cost of jacket is 24.5-1.47
= $23.03
Therefore, the cost of Tyler's jacket is $23.03.
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write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4.
у вас всё правильно вы молодцы
What is the unit rate for the number of hours charged?
Answer:
4.09
Step-by-step explanation:
just divide the given price by the hours
You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Answer:
2x + 4y = 110
Step-by-step explanation:
Let
The quantity of small tables = x
The quantity of large tables = y
The smaller tables can fit 2 people, the larger tables can seat 4 people.
Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Number of people×quantity (small table) + number of people×quantity (large table) = 110
2x + 4y = 110
Find the missing numbers:
X² + 9x + 14 = (x + 2)(x + ?)
log4 x + log4 (x – 3) = 1 Solve the equation.
Answer:
x is EQUIVALENT to 2.89
Step-by-step explanation:
You buy a 36-ounce can of tomatoes. How many pints is that?
Answer:
If you buy a 36-ounce can of tomatoes the number of pints will be 2.24
Step-by-step explanation:
1 Fluid Ounces = 0.062 Pints
What is the difference in solution in an equation and in an inequality?
Answer:
The variable in an equation is fully equal to the solution. In an inequality, the variable is a number, but it can also be less than or greater than a number. Some solutions in an inequality even have the variable less than or equal to or greater than or equal to.
Hope you understood a little bit...have an amazing day C:
Identify the axis of symmetry of the parabola.
Answer:
AOS: x = -1
Vertex: (-1, -2)
Step-by-step explanation:
Indentify the turning point of the graph with is x = -1.
The circumference of a circle can be found by multiplying Pi by the diameter True False
Answer:
True
Step-by-step explanation:
You can find the circumference by multiplying Pi and the diameter.
Answer:
True. And if you only know the radius, multiply the radius by two to get the diameter.
Write in simplest form. 1/6 divided by 6 divided by 6
Answer:
1/216
Step-by-step explanation:
I am pretty sure this is correct
you have to make the whole number 6 into a fraction 6/1
now it is 1/6 divided by 6/1 but you need to do KCF keep change flip
so now it is 1/6 times 1/6 and you get 1/36
then turn 6 into a fraction again
then KCF
Now it is 1/36 times 1/6 and you get 1/216
We have that for the Question "Write in simplest form. 1/6 divided by 6 divided by 6" it can be said that
The simplest form of the statement is
[tex]x=\frac{1}{216}[/tex]
From the question we are told
Write in simplest form. 1/6 divided by 6 divided by 6
Generally the equation for the statement is mathematically given as
[tex]x=\frac{\frac{\frac{1}{6}}{6}}{6} \\\\ Therefore \\\\ x=\frac{\frac{1}{36}}{6}\\\\[/tex]
[tex]x=\frac{1}{216}[/tex]
Therefore
The simplest form of the statement is
[tex]x=\frac{1}{216}[/tex]
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Helppp!!!!! Plz!! Thank you!!!!!!!
Answer:
third option
Step-by-step explanation:
set all the x's equal to zero
A square has a side length of 6x+2. a rectangle with width 3x+1 has the same area as the square. what is the length of the rectangle?
Answer:
2
Step-by-step explanation:
(6x+2)/(3x+1) = 2
54 equals 9 more than a number $t$ .
Answer:54 = t + 9
Step-by-step explanation:
[tex]( - \frac{3}{5} )( - \frac{10}{3} )( - \frac{2}{9} ) = [/tex]
I need help please
[tex](-\frac{3}{5})(-\frac{10}{3})(-\frac{2}{9}) = (\frac{30}{15})(-\frac{2}{9}) = 2(-\frac{2}{9}) = -\frac{4}{9}[/tex]
Homework help quadratics
Answer:
no cap just plug in each one into a quadratic formula and if thats to difficuly just look up symbolab and plug it in
For the function, f(x) = x - 2, find x if f(x) = -1.
2y + 4 = x + 2
Plz help solve for x in terms of y
Answer:
x=2y+2
Step-by-step explanation:
Answer:
2y + 2 = x
Step-by-step explanation:
Treat is like a normal equation and solve with inverse operations:
2y + 4 = x + 2
-2 -2
2y + 2 = x
What is the slope? Please answer with a pic and some work
Answer:
m = rise over run
Rise: y/2 - y/1
Run: x/2 - x/1
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Step-by-step explanation:
Answer:
slope= (y2-y1)/(x2-x1)
1) (2-1)/(3-2)
=m=1
3) (5-4)/(2-2)
= UNDEFINED (vertical line)
5) (-6-6)/(3-(-3)
(-12/6)
= -2
CHECK
y=mx+b
6=-2(-3)+b
6=6+b
b=0
y=-2x connects both of these points on a graph