Answer:
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Step-by-step explanation:
Given
[tex]3(8 - 4x) < 6(x - 5)[/tex]
Required
Describe the number line
We have:
[tex]3(8 - 4x) < 6(x - 5)[/tex]
Open brackets
[tex]24 - 12x < 6x - 30[/tex]
Collect like terms
[tex]-12x - 6x < -30 - 24[/tex]
[tex]-18x < -54[/tex]
Divide by -18 (the inequality changes)
[tex]x > 3[/tex]
[tex]>[/tex] means that the arrow on the number line points to the right, and it makes use of an open circle that starts from 3.
Answer:
based on what he said the answer is b
Step-by-step explanation:
Which of the following is an extraneous solution
Answer:
3 or
C
Step-by-step explanation:
(45 - 3x)^1/2 = x - 9 Square both sides
45 - 3x = x^2 - 18x + 81 Switch sides
x^2 - 18x + 81 = 45 - 3x Add 3x to both sides
x^2 - 15x + 81 = 45 Subtract 45 from both sides
x^2 - 15x + 36 = 0 Factor
(x - 12)(x - 3) =0
The answers are
x = 12
x = 3
Now the question asks which is extraneous. The answer will be which ever number won't solve the original equation. Looking at it right now, both look OK.
(45 - 3*12)^1/2 = 12 - 9
(45 - 36)^1/2 = 3
(9)^1/2 = 3
So 12 is a proper solution.
What about 3?
(45 - 3*3)^1/2 = 12 - 3
(45 - 9)^1/2 = 9
36^1/2 = 9
6 does not = 9
The extraneous solution is x = 3
Calculate the average rate of change of a function over a specified interval. Which expression can be used to determine the average rate of change in f(x) over the interval 2, 9?
Given:
The interval is [2,9].
To find:
The average rate of change in f(x) over the interval [2,9].
Solution:
The average rate of change in f(x) over the interval [a,b] is defined as:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
In the interval [2,9], the value of a is 2 and the value of b is 9.
Using the above formula, the average rate of change in f(x) over the interval [2,9] is:
[tex]m=\dfrac{f(9)-f(2)}{9-2}[/tex]
[tex]m=\dfrac{f(9)-f(2)}{7}[/tex]
Therefore, the required expression for the average rate of change in f(x) over the interval [2,9] is [tex]\dfrac{f(9)-f(2)}{9-2}[/tex], it is also written is [tex]\dfrac{f(9)-f(2)}{7}[/tex].
Answer:
D
Step-by-step explanation:
right on edge
Solve for x. Round to the nearest tenth, if necessary.
Answer:
11.3
Step-by-step explanation:
first we find angle F.
remember, all angles in a triangle always sum up to 180 degrees.
so,
F = 180 - 90 - 61 = 29 degrees
now we use the law of sines.
EF/sin(D) = ED/sin(F) = DF/sin(E)
DF = x
sin(E) = sin(90) = 1
5.5/sin(29) = x/1 = x
x = 11.3
A walking path across a park is represented by the equation y=-3x - 6. A new path will be built perpendicular to this path. The paths will intersect at the point (-3,3). Identify the equation that represents the new path 10- 20 10
The equation of the new path would be y=1/3x+4.
Explanation
If two lines are perpendicular, their slopes are negative reciprocals of each other. The original equation is written in slope-intercept form, y=mx+b, where m is the slope. In this equation, m=-3=-3/1.
In the new equation, the slope would be the opposite sign and flipped; this means it would be 1/3.
We can use the point given, the slope and slope-intercept form to write the equation of the new line:
y=mx+b
3=1/3(-3)+b
3=1/3(-3/1)+b
3=(-3/3)+b
3=-1+b
Add 1 to both sides:
3+1=-1+b+1
4=b
This makes the equation y=1/3x+4.
Answer:
B
Step-by-step explanation:
> if the lines are perpendicular then their slopes are negative reciprocal so
y=mx+b , is the general form where is m = slope
y= -3x -4, old path has slope m= -3
y= (1/3)x +b , is the new path with slope m=(1/3)
>if the paths intersect at (-3,3) then this point is on the new path as well
y= (1/3)x +b, now substitute x= -3, and y=3 to find b
3 = (1/3)(-3)+b , divide -3/3
3= -1 +b, add 1 to both sides
4 = b
>the equation of the new path is
y= (1/3)x +4
What should be done first to evaluate the expression?
3 + (5 - 3)2 × 4
Answer:
19
Step-by-step explanation:
19 is the answer I think so
Write the equation of the line in Slope-Intercept Form given the information below.
Slope =−7/4
Y-Intercept =5
Answer:
y = -7/4 x + 5
Step-by-step explanation:
Determine the value of x
2.12 units
2.02 units
12.38 units
0.49 units
Answer:
2.02
Step-by-step explanation:
Hello, I took the quiz. The correct answer is 2.02
Find p(0), p(1) and p(2) for the polynomial P(t) = 2 + t + 2t²-t³
p(0)=2
p(1)=2+1+2-1=4
p(2)=2+2+8-8=4
at the farmers market 8 apple cost $5.20 if each apple cost the samw amount what is the price per apple
[tex]\displaystyle\bf Solve:8\times p=5,2 \$ => p=\frac{5,2}{8} =\frac{5,2:\boxed{8}}{8:\boxed{8}} =0,65\$\quad She \:unit\: cost\:is\:\underline{ 0,65} \\\\Check :\:8\times\underline{0,65} =5,2\$ \\\\0,65=0,65 \\\\\rightarrow The\: price\:per \:apple \:is \: 0,65 \$[/tex]
In the history of Major League Baseball, the most valuable player award has been won by players from 7 different countries. which countries were they
Answer:
United States, Canada, Dominican Republic, Cuba, Venezuela, Japan, Panama
Step-by-step explanation:
Taking a look at a list of Major League Baseball most valuable players, the countries are:
United States(most players are US-born).
Canada(Joey Votto in 2010).
Dominican Republic(Albert Pujols and Vlad Guerrero Sr. for example).
Cuba(last Jose Abreu in 2020)
Venezuela(last Jose Altuve in 2017)
Japan(Ichiro in 2001).
Panama(Rod Carew)
Ryan was traveling by car at an average speed of 40.3 miles per hour.
He will cover 322.4 miles in hours.
Answer:
your answer is 8
Step-by-step explanation:
If you divide 322.4 by the speed 40.3 you would get 8 the amount of hours traveling the given distance.
If you dont think the answer is correct you can simply mutiply 40.3 by 8 to ensure that 322.4 miles is in fact how far you will go in that time
hope this help. Have a good day!
\
Bye
Find ordered pairs for y= 2x + 3 if x is {1,2,3}
Answer:
(1,5),(2,7),(3,9)
Step-by-step explanation:
x= 1
=> y=2*1+3 = 5
x=2
=> y=2*2+3 = 7
x=3
=> y=2*3+3 = 9
Which graph is a many-to-one function?
Answer:
b
Step-by-step explanation:
Answer:
The one that looks like a letter U
Can someone help me with this math homework please!
Answer:
The first one is X=4
the second one is 5n - 300= 1,500
Step-by-step explanation:
2a is five times bigger than B.
Circle the ratio a:b.
A. 10:1
B. 1:10
C. 5:2
D. 2:5
Answer:
The answer is 2:5
Step-by-step explanation:
The ratio of the variable a over b will be 5/2. Then the correct oprion is C.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
2a is five times bigger than b. Then the equation is given as,
2a = 5b
The ratio of the a: b is given as,
2a = 5b
a / b = 5 / 2
The ratio of the variable a over b will be 5/2. Then the correct option is C.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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A rhino can run 28 miles per hour. What is that speed in feet per second, to the nearest whole number?
Answer:
A rhino runs at a speed of about 28 miles per hour.
We need to determine the speed in feet per second.
Converting miles to feet:
The miles can be converted to feet by multiplying 5280 with 28 miles per hour.
Thus, we have;
28 x 5280 = 14784028 × 5280 = 147840
Thus, the speed of the rhino in feet per hour is 147840
Converting hours to seconds:
The hours can be converted into seconds by dividing 147840 by 3600 (Because an hour has 60 seconds in a minute and 60 minutes in an hour)
Thus, we get;
Speed=\frac{147840}{3600}Speed=
3600
147840
Speed = 41.066667Speed=41.066667
Rounding off to the nearest whole number, we get;
Speed = 41
Therefore, the speed of the rhino is 41 feet per second.
Let u = <-7, -2>. Find 4u.
Answer:
<-28, -8>
Step-by-step explanation:
you multiply the values by 4 because that's what the question tells you to do.
if <-7,-2>=u and it's asking for 4u, then the answer is the solution to the equation 4(<-7,-2>)
Just question 1, please.
Step-by-step explanation:
We can start by writing an equation to describe the data set. For 2D data, one equation form we can use is y=m*x + b, where x is the input and y is the output. Since yuan are put in and dollars are put out, x represents yuan and y represents dollars in this instance.
To find the equation, we can start by plugging in two points, such as (50, 1.25) and (100, 7.5). The slope, or m, is equal to the change in y/change in x, or
(7.5-1.25)/(100-50) = 6.25/50
= 0.125. This means that for each yuan put in, 0.125 dollars come out, according to the formula.
Next, we must find b. Plugging 0.125 in for m and taking a set of points, such as (50, 1.25), we get
1.25 = 50(0.125) + b
1.25 = 6.25 + b
subtract both sides by 6.25 to isolate the b
-5 = b
Therefore, we can write our equation as
y = 0.125 * x - 5
In this equation, there is an exchange rate of 0.125, meaning that for each yuan put in, 0.125 dollars are coming out. The -5 symbolizes that for each transaction, 5 yuan are being lost, which is the fee for exchanging money.
To check if the equation works, we can try it for options such as (200, 20) and (250, 26.25). This does work, so we can move forward with our equation.
For (c), our equation is y = 0.125 * x - 5, with the y representing dollars, x representing yuan, 0.125 representing the exchange rate, and -5 representing the fee for exchaning mone
For (b), because 5 yuan are subtracted from the exchange rate for each transaction, it is fair to assume that there is a fee for exchanging money. There is a fee of 5 yuan per transaction. In dollars, using the exchange rate of 0.125 dollars per yuan, this is equal to 0.625 dollars
For (a), the exchange rate is 0.125 dollars per yuan. We know this because for each yuan put in, 0.125 dollars are coming out after taking into account the fee
sketch the graph of xy = 3y² - 4
Answer:
xy = 3y² - 4
Step-by-step explanation:
Hope it is helpful....
In the file i have attached, you will find the equation graphed, hope this helps.
The width of a rectangle is only 15% of its length. If the perimeter of the rectangle is 46, what is the length
Answer:
20 units
Step-by-step explanation:
Let the length be x. According to the question,
Length = xWidth = 15% of the length➝ Width = 15% of the length
➝ Width = 15/100x
➝ Width = 3/20x
We have the perimeter of the rectangle that is 46 units.
[tex]\longrightarrow \sf {Perimeter_{(Rec.)} = 2(L + W) } \\ [/tex]
[tex]\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\ [/tex]
[tex]\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\ [/tex]
[tex]\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{20x + 3x}{20} \Bigg \rgroup } \\ [/tex]
[tex]\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{23x}{20} \Bigg \rgroup } \\ [/tex]
[tex]\longrightarrow \sf {\dfrac{46}{2}= \dfrac{23x}{20}} \\ [/tex]
[tex]\longrightarrow \sf {23= \dfrac{23x}{20}} \\ [/tex]
[tex]\longrightarrow \sf {23 \times 20 = 23x} \\ [/tex]
[tex]\longrightarrow \sf {460= 23x} \\ [/tex]
[tex]\longrightarrow \sf {\cancel{\dfrac{460}{23}} = x} \\ [/tex]
[tex]\longrightarrow \underline{\boxed{ \bf {20\; units = x}}} \\ [/tex]
Therefore, length of the rectangle is 20 units.
algebra help please answer
Answer:
(A) y = (x - 2)^2 + 1
Step-by-step explanation:
All the answer choices are in vertex form. Here's the formula for vertex form:
y = a(x - h)^2 + k
h = x coordinate of vertex
k = y coordinate of vertex
We already know that a = 1 because all of the answer choices have a = 1, so to find the right answer, you have to know how to write vertex form when given the vertex.
The vertex is (2, 1). The x coordiante (2) is equal to h, and the y coordinate (1) is equal to k.
Plug these two numbers into the formula and that's your answer!
y = (x - 2)^2 + 1
Hope it helps (●'◡'●)
Find the measure of the missing angle using the triangle angle sum theorm.
Two cars started from a point and traveled in opposite directions; each
car has traveled some miles as shown on the number line. Find the
distance between the two cars.
Answer:
Hey, could you please add the number line to the question too
Write the solution set of the equation x2 – 4=0 in roster form
Answer:
Step-by-step explanation:
x²-4=0
(x+2)(x-2)=0
x=-2,2
solution is x∈{-2,2}
Mr. Tanaka is making Miso soup for his family. The recipe calls for 350 ml of Dashi. Mr. Tanaka plans to make a smaller batch using 280 ml of dashi. He wants to know what percent of the stock he will use compared to the original recipe. PLSS HELPPPPPPP Quick
Find the area
Help me please
Answer:
143
Step-by-step explanation:
A = [tex]\frac{Base1 + Base2}{2}[/tex] x h
A = [tex]\frac{8 + 18}{2}[/tex] x 11
A = [tex]\frac{26}{2}[/tex] x 11
A = 13 x 11
A = 143
Answer:
none of the multiple choice are right, it's 143
Step-by-step explanation:
use trapezoid formula
a+b
------- h
2
26
----- h
2
13×11= 143
Which is equivalent to 2^5?
Answer:
Are there certain options?
Step-by-step explanation:
2^5 is in other words 2x2x2x2x2
the answer to this is 32
Hope I helped?
Answer:
32
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
1 = Input G
2 = Input F
3 = Input H
Step-by-step explanation:
Given : AB = BC and BC = CD, AB = 3x - 1 and CD = 2x + 3 Prove: BC = 11 plz help me
Answer:
Given
Given
Transitive
Substitution
Subtraction
Addition
Substitution
Multiplication
Hard to see list of options. But this should help.
Given
Given
Transitive
substitution property of equality
Subtraction property of equality
Addition property of equality
multiplication property of equality
Simplify
simplify
What is substitution?Substitution means putting numbers in place of letters to calculate the value of an expression.
What is transitive property?The transitive property states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”
What is addition and subtraction property of equality?The addition and subtraction property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
What is multiplication property of equality?The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.
According to the given question.
AB = BC and BC = CD ( Given)
AB = 3x - 1 and CD = 2x + 3 ( Given)
Since,
AB = BC and BC = CD
⇒ AB = CD (transitive)
Substitute the value of AB and CD in AB = CD
⇒ [tex]3x - 1 = 2x + 3[/tex] (substitution property of equality)
⇒ [tex]x -1= 3[/tex] (subtraction property of equality)
⇒ [tex]x = 4[/tex] (Addition property of equality)
Since,
AB = BC
⇒ AB= 3x -1
⇒ [tex]AB = 3(4) - 1[/tex] ( multiplication property of equality)
⇒ [tex]AB = 11[/tex] (simplify)
Therefore,
BC = 11 (simplify)
Find out more information about substitution, addition, subtraction and transitive property of equality here:
https://brainly.com/question/27810586
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Which ones ARE in scientific notation?
a. 3.5X10^-2
b. 21.2X10^3
c. 1.4X10^5
d. 9.9432X10^-4
Answer:
C
Step-by-step explanation:
Cause C met the rules of scientific notation which is:
(First digit of the number) followed by (the decimal point) and then (all the rest of digits of the number) times (10 to an appropriate power)