Answer:
oh ok hope you got the answer
Step-by-step explanation:
Divide using either synthetic division or long division
(3x^3+4x^2-x+7)/(x+2)
Answer:
3x^2-2x+3 with a remainder of 1/x+2
Step-by-step explanation:
A line goes through the points (9,8) and (-3,4).
What is the slope of the line? Show your work
Write the equation of the line in point-slope form. Show your work
Write the equation of the line in slope-intercept form. Show your work.
Answer:
[tex]\textsf{Slope}: \quad \dfrac{1}{3}[/tex]
[tex]\textsf{Point-slope form}: \quad y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\textsf{Slope-intercept form}: \quad y=\dfrac{1}{3}x+5[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Slope formula}\\\\slope ($m$) $=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\end{minipage}}[/tex]
Define the given points:
(x₁, y₁) = (9, 8)(x₂, y₂) = (-3, 4)Substitute the defined points into the slope formula:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-8}{-3-9}=\dfrac{-4}{-12}=\dfrac{1}{3}[/tex]
[tex]\boxed{\begin{minipage}{4.6 cm}\underline{Point-slope formula}\\\\$y-y_1=m(x-x_1)$\\\\where $m$ is the slope and\\ $(x_1,y_1)$ is a point on the line.\end{minipage}}[/tex]
Substitute point (9, 8) and the found slope into the point-slope formula:
[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\boxed{\begin{minipage}{3.8 cm}\underline{Slope-intercept formula}\\\\$y=mx+b$\\\\where $m$ is the slope\\ and $b$ is the $y$-intercept.\end{minipage}}[/tex]
To write the equation of the line in slope-intercept form, rearrange the point-slope formula:
[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\implies y-8=\dfrac{1}{3}x-3[/tex]
[tex]\implies y-8+8=\dfrac{1}{3}x-3+8[/tex]
[tex]\implies y=\dfrac{1}{3}x+5[/tex]
Cranberry juice 4 lemon lime soda 1 orange juice 2 pineapple juice 2 if the punch bowl holds 27 cups, how many cups of orange juice will she need to keep the ratio in a full punch bowl the same?
The appropriate choice of ratio will be given by
She will need 6 cups of orange juice to keep the ratio in a full punch bowl the same.
What is ratio?
Ratio determines the comparision among many quantities with the same unit.
Here,
Let the number of cups of Cranberry juice be 4x,
Number of cups of lemon lime soda be x
Number of cups of orange juice be 2x,
Number of cups of pineapple juice be 2x
Total = 4x + x + 2x + 2x = 9x cups
By the problem,
9x = 27
x = [tex]\frac{27}{9}[/tex]
x = 3
Number of cups of orange juice = 2 * 3 = 6 cups
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express each of the following rational numbers as decimals
a,4/9
Ariana owns a food truck that sells tacos and burritos. She only has enough supplies
to make 120 tacos or burritos. She sells each taco for $3.75 and each burrito for
$7.25. Ariana must sell no less than $580 worth of tacos and burritos each day. If x
represents the number of tacos sold and y represents the number of burritos sold,
write and solve a system of inequalities graphically and determine one possible
solution.
One possible solution to the system of inequalities is (90, 50)
How to solve the system of inequalities graphically?From the question, we have the following parameters:
Supplies = 120 tacos or burritos
This means that
x + y = 120
Where x represents the number of tacos and y represents the number of burritos
Also, we have
She must sell no less than $580
This means that
3.75x + 7.25y >= 580
So, we have the system of inequalities to be given as
x + y = 120
3.75x + 7.25y >= 580
Next, we plot the system of inequalities on a graph
See attachment for the system of inequalities on a graph
From the attached graph, we have both lines of the graph intersect at (82.857, 37.143)
When the point is moved to the shaded region, we have one of the possible points to be (90, 50)
Hence, the solution to the system of inequalities is (90, 50)
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Use the slope-intercept form to graph the equation
Question content area bottom left
Part 1
Use the graphing tool to graph the line. Use the slope and y-intercept when drawing the line.
The graph of the equation y = -6/7x + 2 that shows the slope and y-intercept is shown in the image attached.
What is the Slope-Intercept Form of the Equation of a Line?y = mx + b represents the equation of a line in slope-intercept form. In y mx + b, we have the following parameters of the line it represents:
m = the slope of the line, which is the change in y / the change in x or rise/run of the line.b = the point the line intercepts at the y-axis which is the y-intercept where x = 0.Given the equation of a line in slope-intercept form as y = -6/7x + 2, it means that the graph of the line you are to plot would have a negative slope (m) of -6/7, and must intercept the y-axis at y = 2.
So, to draw the line of the equation that was given in slope-intercept form as y = -6/7x + 2, you have to use a slope of -6/7 that show the steepness of the line, and a y-intercept of 2, that shows where the line intercepts the y-axis of the graph at y = 2, of which the corresponding x-coordinate must be equal to zero.
Therefore, the graph of y = -6/7x + 2 is shown below.
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A triangle has an area of 20in every dimension of the triangle is multiplied by a scale factor, and the new triangle has an area of 180in . what was the scale factor
If a triangle has an area of 20in every dimension of the triangle is multiplied by a scale factor, and the new triangle has an area of 180in . the scale factor is 3.
Scale factorFirst step is to calculate the area
Area:
Area = New triangle /Old triangle
Area = 180 / 20
Area = 9
Second step is to calculate the ratio of areas
Ratio of areas :
Ratio of areas = 9
Ratio of areas = (3)²
Hence,
Scale factor : 3
Therefore the scale factor is 3.
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5(x-2)+7=5x-11 what is the answer
Help complete Kohana’s pattern by entering rules to transform each figure from the table?
Answer:
Step-by-step explanation:
hshshaahhs
Which equation represents the line through (2, - 4) and (0, 4)?
Answer: Option D is correct.
y = -4x + 4
Answer:
y = -4x + 4
Step-by-step explanation:
D. is your answer ^^
Which statement describes the graph of y= -x+3 and y=-x+6?
Responses
They intersect at point ( 3 ,6 )
They are parallel
They are perpendicular
They intersect at point (6,3).
Considering the definition of parallel line, the statement "They are parallel" describes the graph of y= -x+3 and y=-x+6.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where:
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Parallel lineParallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.
Two lines are parallel if they have the same slope or value of m and different y-intercepts or value of b.
This caseIn this case, you know:
y= -x+3 has a slope of -1 and an ordinate to the origin of 3.y=-x+6 has a slope of -1 and an ordinate to the origin of 6.Two lines are parallel if they have the same slope and different y-intercepts. Then, both lines are parallel.
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Find the missing value(s) in the ratio table. Then write the equivalent ratios.
Violins
Cellos
8
3
24
Missing value of the table is 9.
Define equivalent ratios.When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent. If two or more ratios have the same value when reduced to their most basic form, they are said to be equal. For instance, the ratios 1:2, 2:4, and 4:8 are identical. When reduced to their most basic form, all three ratios have the same value, or 1:2. We can multiply or divide the words by a natural number to get analogous ratios to a given ratio. When two words are co-prime (have just one other common factor), we multiply them by any natural number instead of performing the division procedure.
Given Data
Violins
Cellos
8 24
3
Let missing number be x
[tex]\frac{8}{24}[/tex] = [tex]\frac{3}{x}[/tex]
When we compare two ratios, they are said to be equivalent.
If two or more ratios have the same value when reduced to their most basic form, they are said to be equal
simplifying, [tex]\frac{8}{24}[/tex]
[tex]\frac{1}{3}[/tex]
[tex]\frac{3}{x}[/tex] =[tex]\frac{3}{9}[/tex]
Missing value of the table is 9.
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Shantel buys a bag of cookies that contains 5 chocolate chip cookies, 6 peanut butter cookies, 5 sugar cookies and 8 oatmeal cookies. what is the probability that shantel randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie?
Answer:
6 out of 24
Step-by-step explanation:
5+5+6+8 = 24
there are 6 peanut butter cookies
In all there are 24 cookies
Since there are 6 peanut butter cookies since there are 24 cookies there is a chance of 6 and 24 of getting a peanut butter cookie.
find the perimeter pls i need help
Answer: 70 in.
Step-by-step explanation:
So we know that the perimeter of a rectangle =2(Length*Breadth)
Given =
Area of the rectangle = 35 [tex]in.^{2}[/tex]
Length = 7 in.
Area of a rectangle = Length*Breadth
35 = 7*Breadth
[tex]\frac{35}{7}[/tex] = Breadth
5 = Breadth
Now we can find out the perimeter of the rectangle =
= 2(Length*Breadth)
= 2(7*5)
= 2*35
= 70 in.
Find all the missing angles and give a reason!!
PLEASE HELP I WILL GIVE BRAINLIEST TO WHO ANSWERS
Angle #1 = 90 Reason: Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 22= 90. Reason: Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 8 = 90 . Reason: Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 2 = 90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.
#17 = 60. Reason: We have the sum of all interior angles at 180.
180 degrees = 30+ 90+ #17
so # 17 = 180 - ( 30+90) = 60.
#23= 90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.
# 19= 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.
#26 = 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.
#21 = 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 16 = 60 Reason: We have the sum of all interior angles at 180. And Opposite sides are equal and parallel. So # 16 + 90 + # 27 = 180
so # 16 + #27 = 180-90 = 90.
#3= 30. We have # 16 +# 3 = 90. So 60 +# 3 = 90. Hence, # 3 = 30.
#27 = 30.
Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
Answer:
(-5, -3)
Step-by-step explanation:
We can use the fact that the diagonals of a parallelogram bisect each other
Let me classify the points as
A (-4, 7)
B (2, -5)
C (3, 5)
Let us assume the 4th vertex is D(x, y) where x and y have to be determined
We will assume that AB is the diagonal of the parallelogram ABCD
The midpoint of a line segment from (x1, y1) to (x2, y2) is given by
(1/2)(x1 + x2, y1 + y2) ie the average of their x and coordinates
If we let O be the midpoint of AB, coordinates of O are
1/2 x (-4 + 2, 7 -5) = 1/2 x ( -2, 2) = (-1, 1)
We know the other diagonal CD must pass through point O and O is also the midpoint of CD
Therefore if coordinates of D are (x, y)
then x-coordinate of O which is -1 should be the average of x coordinate of C and x coordinate of D
==> - 1 = (3 + x)/2
=> -2 = 3 + x
=> -2 - 3 = x
=> -5 = x
=> x = -5
Similarly
1 = (5 + y)/2
=> 2 = 5 + y
=> 2 - 5 = y
=> -3 = y
y = -3
So the coordinate of the fourth vertex D are (-3, -5)
Check the attached graphs for a clearer understanding
A line passes through the point (2,7) and has a slope of 5/2 Write an equation in slope-intercept form for this line.
Answer:
y = (5/2)x + 2
Step-by-step explanation:
(2, 7)
(x₁, y₁)
m = (5/2)
y - y₁ = m(x - x₁)
y - 7 = (5/2)(x - 2)
y - 7 = (5/2)x - 5
+7 +7
------------------------
y = (5/2)x + 2
I hope this helps!
please answer question with answer
Answer:
48[tex]cm^{2}[/tex]
Step-by-step explanation:
1. We need 2 integers (full number) when added gives us 7
this is 4 and 3
2. so the width of the rectangle is 3cm and the length is 4cm
3. to find one area of a rectangle we do
4cmx3cm= 12[tex]cm^{2}[/tex]
4. There is 4 rectangles, so we do
4x12[tex]cm^{2}[/tex]= 48[tex]cm^{2}[/tex]
5. so the total area of the pattern is
= 48[tex]cm^{2}[/tex]
rereciporical of 3.5??
Answer:
B
Step-by-step explanation:
3 5/6 = 23/6
Reciprocal: 6/23 i hope you pass(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
9 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in minutes per customer?
Answer:
0.5 entrances per minute
Step-by-step explanation:
9 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in minutes per customer?
9/18 = 0.5 entrances per minute
Answer: 2 minutes/Customer
Step-by-step explanation:
Total time passed: 18 minutes
Total customers entered: 9 nos.
using unitary method, number of minutes requires for one customer to enter or minutes per customer is:
18/9 that is , 2 minutes/customer.
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someone give me the answer pls
The measure of the triangle for the value of x is x = 11.
What is defined as the triangle?A triangle is a 2-dimensional closed shape with three sides, three angles, and three vertices. A triangle is a type of polygon.
The sum of a triangle's three interior angles is always 180°.The sum of any two triangle sides is always larger than the length of a third side.A triangle's area is equal to half the product of the its base and height.For the given value of triangle;
The three angles are given as;
3x + 84x + 1184By the sum of all angles of triangle property.
The sum of all three angles of the triangle is 180°
Thus,
3x + 8 + 4x + 11 + 84 = 180
Simplifying;
7x = 180 - 103
7x = 77
x = 11
Thus, the solution of x of the given triangle is found as x = 11.
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HELP ASAP NEEDS TO BE DONE BEFORE TONIGHT
Answer:
neither
Step-by-step explanation:
Answer:
neither
Step-by-step explanation:
I graphed it on desmos. It showed the lines intersecting each other. Intersection is not the same as perpendicular. Intersecting goes all the way through while perpendicular doesn't.
Sorry, I see my mistake now.
Hope this helps! :)
what is 2(10) + 2(x – 4) simplified
(f o g)(x):
f(x)=x^2+9 and g(x)=x^2-9
The composite result function of ( f ° g )(x) in the given functions f( x ) = x² + 9 and g( x ) = x² - 9 is x⁴ - 18x² + 90.
What is the composite result function of ( f ° g)(x) in the given function?A function is simply a relationship that maps one input to one output.
Given the data in the question;
f( x ) = x² + 9g( x ) = x² - 9( f ° g)(x) = ?First, we set up the composite result function f(g(x)).
f( x ) = x² + 9
f( g(x) ) = f( x² - 9 ) = ( x² - 9 )² + 9
f( g(x) ) = ( x² - 9 )² + 9
Expand the parenthesis
f( g(x) ) = ( x² - 9 )( x² - 9 ) + 9
f( g(x) ) = ( x²( x² - 9 ) -9( x² - 9 ) + 9
f( g(x) ) = x⁴ - 9x² - 9x² + 81 + 9
Collect and add like terms
f( g(x) ) = x⁴ - 18x² + 81 + 9
f( g(x) ) = x⁴ - 18x² + 90
Therefore, ( f ° g )(x) in the given functions is x⁴ - 18x² + 90.
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What are the dimensions of the matrix?
[−163049−1−2]
Enter your answer by filling in the boxes.
Answer: 2 x 4
Reason:
There are 2 rows and 4 columns. The order is important since 4x2 is different from 2x4.
Is the relation in this set of points a function? {(-2, 6) , (4, 5) , (3, -3) , (6, 9), (4, -4)}
State whether the statement is true of false.
1. The relation is a function.
2. An element from the domain is paired with more than one element from the range.
Answer: 2.An element from the domain is paired with more than one element from the range.
Step-by-step explanation:
I did the quiz
Correct me if im wrong
Have a great day!
what’s the percentage change to 2 decimal places when 125.99 is increased to 150
The percentage change is 16%
How to calculate the percentage change ?The initial value is 125.99
It changed to 150
The percentage change can be calculated as follows
= 150 - 125.99/150 × 100
= 24.01/150 × 100
= 0.16 × 100
= 16%
Hence the percentage change is 16%
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-(5)^2(4) please show work
[tex]-(5)^{2*4} \\-(5)^{8} \\\\=-390,625[/tex]
What is the next fraction in this sequence? Simplify your answer. 17/ 18 , 8 /9 , 5/ 6 , 7/ 9 , ...
The next fraction in the given sequence is 13/18
In this question, we have been given a sequence of fractions.
17/ 18 , 8 /9 , 5/ 6 , 7/ 9 , . . .
We need to determine the next fraction in the given sequence.
We rewrite the fraction 8/9 as,
8/9 = 8 × 2 / 9 × 2
= 16/18
We rewrite the fraction 5/6 as,
5/6 = 5 × 3 / 6 × 3
= 15/18
We rewrite the fraction 7/9 as,
7/9 = 7 × 2 / 9 × 2
= 14/18
This means, the given sequence of fractions is 17/18, 16/18, 15/18, 14/18, ...
From this sequence, the next fraction would be 13/18
Therefore, the next fraction in the given sequence is 13/18
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PLS HELP ME I DON'T KNOW WHAT TO DO PLEASE HELP ◑︿◐
Complete each exercise about the pairs of fraction bars
1. What equivalent fractions are shown? _____
2. Identify the multiplier. _____
3. What equivalent fractions are shown? ______
4. Identify the divisor. ______
I WIL GIVE BRAINLIEST 5 FOR WHOE EVER ANSWERS MY QUESTION (Add a picture)
The equivalent fractions shown on the fraction bar is 3/4 and 6/8.
The multiplier is 2.
The equivalent fractions shown on the fraction bar are 4/6 and 12/18.
The divisor is 3.
What are the equivalent fractions?A fraction is a non whole number that is made up of a numerator and a denominator. The numerator is the number above the line and the denominator or divisor is the number below the line. An example of a fraction is 1/10. 1 is the numerator and 10 is the denominator.
Equivalent fractions are fractions that have different numerators and denominators but when expressed in its simplest form, they are the same fractions. For example, 1/2 and 3/6 are equivalent fractions because when 3/6 is expressed in its simplest form, it is 1/2.
In the first fraction bar given, there are 4 bars and 3 are shaded. Thus, the fraction it represents is 4/6. Likewise in the second fraction bar, 6 are shaded and there are 8 bars.
In the third fraction bar, 12 are shaded and there are a total of 18 bars. The fraction is 12/18. In the fourth fraction bar, 4 are shaded and there are 6 total bars. The fraction is 4/6.
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