Answers
Answer:
Model the expression as 3 groups of x+2.
There are 3 x-tiles.
There are 6 +1 tiles.
The equivalent expression is 3x+6
Step-by-step explanation:
see image. This program is trying to help you learn algebra (here it looks like distributive property) by using a physical model. The bars are x's and the +1's are numbers. The little squares are 1 each (positive or negative, but you only need the positives for this question)
see image.
The lesson is:
3(x+2) = 3x + 6
Related Questions
Which equation can be simplified to find the inverse of y=x^2-7
Answers
You just switch X with Y
The measures of all of the interior angles of a triangle are in the extended ratio 1 : 2 : 3. The value of the smallest angle is:
Answers
Answer:
30 degrees
Explanation:
Let the ratio's be in x, 2x, 3x
Total Interior Angle of a triangle sum ups to 180°
x + 2x + 3x = 180°6x = 180°x = 180°/6 = 30°
The smallest angle which is x is 30°
4 people completed their work in one hour how will it take 3 people to finish it give your answer in minutes
Answers
it would be 45 minutes
-7x + 13 > 41 what is the answer
Answers
Answer:
x < -4
Step-by-step explanation:
-7x>28
7x<-28
x<-4
please give brainliest!
hope this helps :)
Describe the error in solving the equation -2x^2+9x=4 using the Quadratic Formula.
Answers
Answer:
The roots are 0.5 and 4.
Step-by-step explanation:
-2x^2+9x=4
Rearrange:
-2x^2 + 9x - 4 = 0
x = [-b +/- √(b)^2 - 4ac)] / 2a
Using this quadratic formula the solution is:
x = [-9 +/- √(9)^2 - 4*(-2)*(-4)] / (2*-2)
= (-9 +/- √49) / -4
= 9/4 +/- (-7/4)
= 9/4 - 7/4 = 0.5
and 9/4 + 7/4 = 4
Could anyone give me the answer to this question?
Answers
Answer:
36
Step-by-step explanation:
[tex]\angle AOC[/tex] is made up of s + r, and since r is [tex]\frac{3}{5}[/tex] of [tex]\angle AOC[/tex] we know r must be the remaining [tex]\frac{2}{5}[/tex] of [tex]\angle AOC[/tex].
We can solve for [tex]\angle AOC[/tex] by using this equation:
[tex]\frac{2}{5}\angle AOC = 24\\(\frac{2}{5}\angle AOC)\frac{5}{2} = (24)\frac{5}{2}\\ \boxed{\angle AOC = 60}[/tex]
1. 2 fifths of [tex]\angle AOC[/tex] is 24
2. multiply both sides by [tex]\frac{5}{2}[/tex] to isolate [tex]\angle AOC[/tex]
3. [tex]\angle AOC[/tex] is 60°
We can now solve for r
[tex]r = \frac{3}{5}\angle AOC\\r = \frac{3}{5}(60)\\\boxed{r = 36}[/tex]
1. the equation the problem gave us
2. substitute [tex]\angle AOC[/tex] for 60 (we solved for it before)
3. [tex]r[/tex] is 36°
The great pyramid of giza has a square base. the length of each side of the base is approximately 230 meters. the height of the pyramid is approximately 147 meters. using these dimensions, what is the volume, in cubic meters, of the pyramid?
Answers
Answer:
2,592,100 m³
Step-by-step explanation:
The volume of the pyramid can be found by using the given dimensions in the formula for the volume of a square pyramid.
__
formulaV = 1/3s²h
where s is the side length of the square base, and h is the height.
applicationUsing the given dimensions, s = 230 m, h = 147 m, we find the volume to be ...
V = 1/3(230 m)²(147 m) = 2,592,100 m³
The volume of the pyramid is 2,592,100 cubic meters.
Eliminate the parameter:
x = (3t+ 2)² y = t - 2
Answers
Solve for t in terms of y :
[tex]y = t - 2 \implies t = y + 2[/tex]
Substitute this into the parametric equation for x :
[tex]x = (3t + 2)^2 \implies x = (3(y + 2) + 2)^2 \implies \boxed{x = (3y+8)^2}[/tex]
What is the next fraction in this sequence? Simplify your answer.
13/23, 1/2, 10/23, 17/46,
...
Submit
Answers
Answer:
7/23
Step-by-step explanation:
Each answer is 1.5/23 less than the previous
17/46 - 1.5/23 = 17/46 - 3/46 = 14/46 = 7/23
The profit from a business is
described by the function
P(x) = -5x² + 30x + 8, where x
is the number of items made,
in thousands, and P(x) is the
profit in dollars. How many
items will maximize the profit?
Answers
First of all we will understand the question!!
The question is saying that you are given a function and you have to find the value of x which will give the maximum profit... Lets solve it by finding the extrema using the vertex
[tex] \rm \: p(x) = - 5 {x}^{2} + 30x + 8[/tex]
Identify the coefficients a and b of the quadratic function[tex] \rm \: p(x) = { - 5x}^{2} + 30x + 8 \\ \rm \: a = - 5 \: and \: b \: = 30[/tex]
Since a<0, the function has the maximum value at x, calculated by substituting a and b into x=-b/2a[tex] \rm \: x = \frac{30}{ 2 \times (- 5)} [/tex]
Solve the equation for x[tex] \rm \: x = 3[/tex]
The maximum of the quadratic function is at x=3Question 5 of 10
What is the surface area of the cube below?
OA. 20 units²
B. 8 units²
C. 24 units²
OD. 12 units²
SUBMIT
Answers
Answer:
S=6a^2
S=6×2^2
S=6×4=24
The right answer is C
Answer:
24 units²
Explanation:
The surface area of cube is 6(side)²
Here given:
a = 2
The surface area:
= 6(2)^2
= 6(4)
= 24
In class 8 A, there are 20 students, 55% students are present on Wednesday. Find out how many people are present that day? How many people are absent on that day?
Answers
Answer:
11 students are present and 9 are absent.
Selma's house is 1,450 cm long. How many meters
long is Selma's house?
Answers
Answer:
14.5 Meters
Step-by-step explanation:
1 centimeter= 0.01 Meters
1450 cm x 0.01 =14.5
A timer is started and a few moments later a model airplane is launched from the ground. Its height (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=−(t−12)2+81
. Which of the following statements is true?
The airplane reaches its minimum height of 12 feet in 81 seconds.
The airplane reaches its maximum height of 81 feet in 12 seconds.
The airplane reaches its minimum height of 81 feet in 12 seconds.
The airplane reaches its maximum height of 12 feet in 81 seconds.
Answers
The statement which is true is the airplane reaches its maximum height of 81 feet in 12 seconds.
Since the height of the plane is a function given by a parabola, we need to know the equation of a parabola in vertex form
What is the equation of a parabola in vertex form?The equation of a parabola with vertex (h,k) is given by y = a(x - h) + k
Since the height (in feet) of the airplane as a function of time (in seconds after the timer was started) is given by the equation h(t) = −(t − 12) + 81
Since this is the equation of a parabola in vertex form, comparing h with y, we have that a = -1, h = 12 and k = 81Since a = -1 < 0 this implies that the point (h, k) = (12, 81) is a maximum pointSo, the statement which is true is the airplane reaches its maximum height of 81 feet in 12 seconds.
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Market research shows that 30% of consumers are likely to purchase an electronic tablet for younger children under age 10. However, only 2% of consumers are likely to buy a laptop for children under the age of 10. On the other hand, for children ages 10 – 17, 50% of consumers are likely to buy a tablet and 40% are likely to buy a laptop. If a family has a five-year-old son and a 13-year-old daughter, what is the probability of both children receiving a tablet?
Answers
Answer:
see the attachment photo!
write a polynomial that represents the length of the rectangle
help please !!
Answers
Answer:
[tex]\textsf{Length}=0.8x^2-0.7x+0.7\quad \sf units[/tex]
Step-by-step explanation:
Area of a rectangle = width × length
Therefore, to find the length of the rectangle, we need to divide the area by the width.
Using long division:
[tex]\large\begin{array}{r}0.8x^2-0.7x+0.7\phantom{)} \\x+0.5{\overline{\smash{\big)}\,0.8x^3-0.3x^2+0.35x+0.35\phantom{)}}}\\-~\phantom{(}\underline{(0.8x^3+0.4x^2)\phantom{-b))))))))))))))}}\\0-0.7x^2+0.35x+0.35\phantom{)}\\ \underline{-~\phantom{()}(-0.7x^2-0.35x)\phantom{-b)))))}}\\ 0.7x+0.35\phantom{)}\\\underline{-~\phantom{()}(0.7x-0.35)}\\ 0\phantom{)}\end{array}[/tex]
Therefore, the length of the rectangle is:
[tex]0.8x^2-0.7x+0.7[/tex]
Quadrilateral RSTU is a rectangle and m/RVU = 72°.
What is m/VRU?
Answers
Answer: [tex]18^{\circ}[/tex]
Step-by-step explanation:
In triangle RUV, angle RUV is a right angle (and thus measures 90 degrees), and angle RVU measures 72 degrees.
Since angles in a triangle add to 180 degrees, angle VRU measures
180-90-72=18 degreesWhat is the area of the triangle formed from 0,-1), (0.4), and
(4,-1)?
OA. 20 square units
B. 5 square units
O C. 40 square units
O D. 10 square units
Answers
Answer:
D. 10 square units
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
__
This triangle has a base of 4 units and a height of 5 units. (These dimensions can be counted from the graph, or found by subtracting coordinate values.) Its area is ...
A = 1/2(4 units)(5 units) = 10 square units
_____
Additional comment
The first two coordinates lie on the line x=0. The length of that segment is the difference of the y-values: 4 -(-1) = 5.
The first and last coordinates lie on the line y=-1. The length of that segment is the difference of the x-values: 4 -0 = 4.
A number cube with the numbers 1 through 6 is rolled. What is the theoretical probability, as a decimal, of the number cube showing a 1? Round the decimal to the nearest hundredth
Answers
Answer:
0.17 (rounded)
Step-by-step explanation:
There's only one way a 1 can appear on a number cube out of 6 possible sides. Thus, the theoretical probability of the number cube showing a 1 is 1/6, or 0.17 rounded.
Select the correct answer.
The Cohen family started their wheat farm in 1995. The equation models the number of bushels of wheat they produced each year, where t
is the number of years since 1995.
C(t) = 7,000+500 In(t+1)
The Mason family also started their wheat farm in 1995. The graph models the number of bushels of wheat they produced each year, where t
is the number of years since 1995.
M(1)
12,000
8,000
4,000
-24-168
16 24
4,000
-8,000+
12,000
Which statement is true about the quantity of wheat the two farms will produce as the years pass?
OA The wheat production of both farms will continue to increase each year without bound.
OB. The Cohen farm's wheat production will continue to increase each year without bound, while the Mason farm's wheat
production will approach a stable amount.
OC. The Mason farm's wheat production will continue to increase each year without bound, while the Cohen farm's wheat
production will approach a stable amount.
O D.
The wheat production of both farms will approach a stable amount as the years pass.
Answers
The wheat production of both farms will approach a stable amount as the years pass.
What is an exponential function?
An exponential function is one that is steadily increasing or decreasing. We can see that in this case there is a positive sign indicating an increase.
Thus, from the graph, we can see that, the wheat production of both farms will approach a stable amount as the years pass.
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What is this and how do you solve it
Answers
b²-4ac is the discriminant (D)!
you use it when you have a second degree function and want to find the x. If:
D<0 -> no x that we can find
D=0 -> 1 answer for x
D>0 -> 2 answers for x
when your D is = or > 0 then you use these formulas to find the x:
x1= (-b-VD)/2a
x2= (-b+VD)/2a
example1:
f(x)=2x²+3x+4=0
D= b²-4ac
= 3²-4×2×4
=9- 32
=-23
-> no answers for x
example2:
f(x)=2x²+5x+2=0
D= 4²-4×2×2
= 25-16
=9
x1= (-b-VD)/2a
= (-5-3)/4
= -8/4
=-2
x2= (-b+VD)/2a
= (-5+3)/4
=-2/4
=-1/2
Ari said there are three possible outcomes when you
spin this spinner twice: two reds, a yellow and a red,
or two yellows.
So, the probability of getting two yellows is 1/3
Do you agree or disagree? Explain your thinking
Please answer fast :(
Answers
========================================================
Reason:
Ari hasn't considered the case of "red and yellow" which is almost identical to "yellow and red".
It helps to lay out a two by two table. Along the rows and columns, you'll have "red" and "yellow". See below.
Then inside the table are the list of all outcomes in the form (x,y) where x is the horizontal component along the columns, and y is the vertical component along the rows.
Example: if x = red and y = red, then we have the outcome (x,y) = (red, red)
As the table shows, we have 4 outcomes. Therefore the probability of getting two yellows is 1/4
Technically the (red, yellow) = (yellow, red) since ultimately order doesn't matter in this case. For some probability problems, order will matter. But again, order doesn't matter here and it means that we can treat these two situations the same. So I can see why Ari thinks there are only three outcomes.
--------------------------------
Here's another way to look at it:
The probability of landing on yellow is 1/2 assuming red and yellow are equally likely.
This means the probability of two yellow in a row is (1/2)*(1/2) = 1/4
Each is spin is independent of any other.
Don’t know how to solve.
Answers
Answer:
$122.88
Step-by-step explanation:
the phone decreases by 20% each year , that is
(100 - 20)% = 80% = [tex]\frac{80}{100}[/tex] = 0.8
the phone reduces by a factor of 0.8 each year , then after 4 years
value = $300 × [tex](0.8)^{4}[/tex] = $122.88
what is the perimeter of the triangle
Answers
what is the square root of x divided by the square root of 2 equal
Answers
Answer:
[tex]\sqrt{\frac{x}{2} }[/tex]
Key:
• [tex]\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{x}}{\sqrt{2}}\\[/tex]
[tex]\frac{\sqrt{x}}{\sqrt{2}}=\sqrt{\frac{x}{2}}\\[/tex]
[tex]=\sqrt{\frac{x}{2}}[/tex]
how do you find the breadth of the area in a square
Answers
Answer:
A = l x b
Step-by-step explanation:
Area = length x breath
So find the area and length and work it out by dividing area by length.
During a game of golf, Kayley hits her ball out of a sand trap. The equation h = t? + 4t -
21 models the height of the golf ball in feet in relation to the number of t seconds since it was hit. Kayley solved the quadratic by factoring: .
a. How many seconds does it take for her ball to reach the green?
b. How do we know the 2nd value isn't also a solution?
Answers
A quadratic equation is in the form of ax²+bx+c. It took 3seconds for the golf ball to reach the green.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
A.) The time that the ball takes to reach the green can be found by equation the equation against zero. As the ball will have 0 height when it will be on the green,
t²+4t-21=0
t²+7t-3t-21=0
t(t+7)-3(t+7)=0
(t+7)(t-3)=0
t = -7, 3
Hence, it took 3seconds for the golf ball to reach the green.
B.) Since the time can not be negative the second value is wrong.
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How is 0.136¯¯¯¯ written as a fraction in simplest form?
Enter your answer in the box.
Answers
Answer:
[tex]\frac{3}{22}[/tex]
Step-by-step explanation:
the bar above 36 means that the digits 36 are being repeated
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.13636.. ( multiply both sides by 10 and 1000 )
10x = 1.3636... (1)
1000x = 136.3636... (2)
subtract (1) from (2) thus eliminating the repeating digits
990x = 135 ( divide both sides by 990 )
x = [tex]\frac{135}{990}[/tex] = [tex]\frac{3}{22}[/tex] ← in simplest form
I need help with 7 8 and 9 question perimeter and area
Answers
The perimeter and area of the equilateral, isosceles and right angled triangle are 16.2mm 12.6mm², 15.2in and 9.61in², 21.47yds and 16.81yds² respectively.
What is the area of the equilateral, isosceles and right angle triangle?Note that:
The perimeter of an Equilateral triangle is expressed as P = 3a
The area of an Equilateral triangle is expressed as A = ((√3)/4)a²
Where a is the dimension of the side.
The perimeter of an Isosceles triangle is expressed as P = 2a + b
The area of an Isosceles triangle is expressed as A = (ah)/2
Where b is the slant height, a is the dimension of the base and h is the height.
The perimeter of a Right angled triangle is expressed as P = a + b + c
The area of a Right angled triangle is expressed as A = (ab)/2
Where a and b is the dimension of the two sides other than the hypotenuse and c is the hypotenuse.
For the Equilateral triangle.
Given that;
a = 5.4mmPerimeter P = ?Area A = ?Perimeter P = 3a
P = 3 × 5.4mm
P = 16.2mm
Area A = ((√3)/4)(5.4mm)²
A = ((√3)/4)( 29.16mm² )
A = 12.6mm²
The Perimeter and Area of the Equilateral triangle are 16.2mm 12.6mm² respectively.
For the Isosceles triangle.
Given that;
Base a = 3.4inSlant height b = 5.9inPerimeter P = ?height h = ?Area A = ?Perimeter P = 2a + b
P = 2(b) + a
P = 2(5.9in) + 3.4in
P = 11.8in + 3.4in
P = 15.2in
The height h is the imaginary line drawn upward from the center of a.
First, we calculate the height using Pythagorean theorem
x² = y² + z²
Where x = b = 5.9in, y = a/2 = 3.4in/2 = 1.7in, and z = h
(5.9in)² = (1.7in)² + h²
34.81in² = 2.89in² + h²
h² = 34.81in² - 2.89in²
h² = 31.92in²
h = √31.92in²
h = 5.65in
Now, the area will be;
A = (ah)/2
A = (3.4in × 5.65in )/2
A = 19.21in²/2
A = 9.61in²
The Perimeter and Area of the Isosceles triangle are 15.2in and 9.61in² respectively.
For the Right angled triangle.
Given that;
a = 8.2ydsb = 4.1ydsc = 9.17ydsPerimeter P = ?Area A = ?Perimeter P = a + b + c
P = 8.2yds + 4.1yds + 9.17yds
P = 21.47yds
Area A = (ab)/2
A = ( 8.2yds × 4.1yds)/2
A = ( 33.62yds²)/2
A = 16.81yds²
The Perimeter and Area of the Right angled triangle are 21.47yds and 16.81yds² respectively.
Therefore, the perimeter and area of the equilateral, isosceles and right angled triangle are 16.2mm 12.6mm², 15.2in and 9.61in², 21.47yds and 16.81yds² respectively.
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Which expression is equivalent to startfraction startroot 10 endroot over rootindex 4 startroot 8 endroot?
Answers
The expression that is equivalent to √10 / (4√8) is given as √5 / 8
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation:
√10 / (4√8)
Simplifying:
= √10 / (4√(4 * 2))
= √10 / (8√2)
= √5 / 8
The expression that is equivalent to √10 / (4√8) is given as √5 / 8
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