Answers
Answer:
2 solutions: ( -4,0 )
( -6,0 )
2 Non solution: ( 2,0 )
( 4,0 )
Answers:
Refer to the graph below
Two solution points are (-5,-4) and (-4,-3)
Non solution points are (0,3) and (1,4)
=========================================================
Explanation:
The boundary line for [tex]y \ge 3x+3[/tex] is [tex]y = 3x+3[/tex]
This linear equation has a y intercept of (0,3) and another point on the line is (1,6). Plot these two points and draw a straight line through them. This line is a solid boundary line because of the "or equal to" as part of the inequality sign. This means points on the boundary adjacent to the shaded region area part of the solution set.
Because of the "greater than" portion, we'll shade above the solid boundary line. This only works because y is isolated.
Keep in mind that we're also told that [tex]y < -2[/tex] which means we'll also shade the region below the boundary line [tex]y = -2[/tex]. This is a dashed line through -2 on the y axis. A dashed line does not include points on the boundary as part of the solution.
---------------
To summarize: We shade above y = 3x+3 (solid) but below y = -2 (dashed).
Refer to the diagram below to see what's going on.
The entire southwest region is shaded.
That blue shaded region represents all (x,y) points that make the system true.
For example, the point (-5,-4) is in the blue region.
Notice how plugging the coordinates into the first inequality gets us...
[tex]y \ge 3x+3\\\\-4 \ge 3(-5)+3\\\\-4 \ge -15+3\\\\-4 \ge -12\\\\[/tex]
which is a true statement. If you plugged y = -4 into [tex]y < -2[/tex], you would also get another true statement.
Both inequalities are true for (x,y) = (-5,-4) which confirms it to be a solution point.
You should also find that a point like (-4,-3) is another solution in the blue region following similar steps. There are infinitely many solution points to pick from. Feel free to choose others.
Non-solution points are such that they aren't in the shaded region. We could also pick points on the dashed boundary line as non-solutions.
Side note: you can pick points on the solid boundary as solution points, but those points must be adjacent to the shaded region. The point (0,3) is NOT a solution even though it's on the solid boundary line.
Related Questions
Which equation is equivalent to y−3=4(x−5)?
y=4x−2y is equal to 4 x minus 2
y=−4x−23y is equal to negative 4 x minus 23
y=4x−17y is equal to 4 x minus 17
y=−17x+4
Answers
Answer:
y = 4x - 17
Step-by-step explanation:
y - 3 = 4(x - 5) ← distribute parenthesis by 4
y - 3 = 4x - 20 ( add 3 to both sides )
y = 4x - 17
answer help me me me me
Answers
Answer:
409
Step-by-step explanation:
296 = 200 + 90 + 6
The value of the 9 is 90 in 296.
1/10 of 90 is 9. The only number that has a 9 in the units digit is 409.
which numbers belong to the solution set of the equation?
22x=902
Answers
Answer:
D. 41
Step-by-step explanation:
To solve, you have to clear "x" from the equation by dividing the other side of the equation by 22:
The only solution for 22x=901 is 41
Answer: x=41
Step-by-step explanation:
Hii!
Do you need to know the solution set of 22x=902? No problem! (:
We just need to divide both sides by 22 to solve for "x".
x=41; this equation has one solution only
--
Hope that this helped! Best wishes.
--
The second number in an ordered pair that represents the position of a point relative to the vertical axis is called ______________.
Answers
It is called the y-coordinate
The point itself is called a coordinate, vertically, the vertical component of the coordinate is called the y-coordinate, while horizontally, the horizontal component of the coordinate is called the x-coordinate.
Hope that helps!
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If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
5(4 + 4) – 6
5(5(4) – 6) – 6
54 – 6 + 54 – 6
5(4) – 6 + 5(4) – 6
Answers
please help me ill give 10 points
Answers
Answer:
y=160
Step-by-step explanation:
y=90+14(x)
x=5
y=90+14(5)
y=90+70
y=160
Hope this helps!
If not, I am sorry.
Help please this is stressing me out.
Answers
Step-by-step explanation:
As far as I understand, they can use all 26 letters (alphabet) and all 10 digits (0, 1, ..., 9), and the password looks like this:
letter-letter-letter-letter-letter-letter-number-number (6 letters, 2 numbers).
▪︎ They can reuse the letters, so they can choose the 1st letter out of 26 possible letters, then they still can choose the 2nd letter out of 26 (it's ok if they have both A's for example, they can reuse them) and so on. So each time they can choose one letter out of 26. Thus, it's 26*26*26*26*26*26.
▪︎ The same thing with numbers. Each time they can choose one number out of 10, so it's 10*10.
▪︎ Therefore, the answer is 26*26*26*26*26*26*10*10 = 30,891,577,600. That's almost 31 billion passwords.
What is 5 + 10^5 or what is 5 + 10 to the 5th power?
Answers
Answer:
5 + 10^5 = 100005 (I think its this one you are looking for
(5 + 10)^5 = 759275
Step-by-step explanation:
Answer:
100,005
Step-by-step explanation:
Original: 10 * 1 = 10
First, you need to do 10 * 10 which = 100.
Next, you need to do 100 * 10 which = 1,000.
Next, you need to do 1000 * 10 which = 10,000.
Next, you need to do 10000 * 100 which = 100,000.
Lastly, you need to add 5 to 100,000 and you get 100,005.
I Hope This Helped :D
Please help me I am stuck
Answers
the answer to the first part of second question is -64/32 or -2 because all you have to do is find the vertex, which is the point of maximum height. the formula for this -b/2a.
the answer to the second part is 160 because to find the height at the vertex just plug the x coordinate of the vertex in and evaluate. this will give you the maximum height
help me in math pls if u know rn i for got the next step
Answers
Answer:
I'm not sure what the question is. I'll offer one simplification that might help.
Step-by-step explanation:
[tex]\sqrt{3} - 3(4*\sqrt{8})[/tex]
One can convert the [tex]\sqrt{8}[/tex] to [tex]\sqrt{2} *\sqrt{4}[/tex] and then that becomes [tex]\sqrt{2} *\2}[/tex]2 or 2[tex]\sqrt{2}[/tex]
[tex]\sqrt{3} - 3(4*\sqrt{2}\sqrt{4})\\[/tex]
[tex]\sqrt{3} - 3(4*2*\sqrt{2})\\[/tex] See above explanation.
[tex]\sqrt{3} - 24*\sqrt{2})\\[/tex]
Students in a reading class have three options for their book project: making a brochure, writing a news article, or designing a computer presentation. from past years, the teacher has determined that 20% of students usually choose to make a brochure, 30% of students usually choose to write a news article, and the remaining students usually choose to design a computer presentation. if the teacher uses 20 colored chips in three different colors to model this situation, how many colored chips should she use to represent each book project option? making a brochure: blue chips writing a news article: yellow ships designing a computer presentation: red chips
Answers
Answer: 4 blue chips (brochure), 6 yellow chips (news article), and 10 red chips (computer presentation).
Step-by-step explanation: If you have 20 colored chips, then 20% of the people that chose the brochure will be 20% of 20 of the chips. That is 20 * 0.2 = 4. Now, to find how to model the people who chose the news article, it will be 30% of the 20 chips. That is 20 * 0.3 = 6. Thus, 6 chips can be modeled for the news articles. Lastly, we add 6 + 4 and that is 10. The rest is another ten out of the 20. Thus, we can use 10 red chips to model the computer presentation.
The teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
What is Division?A division is a process of splitting a specific amount into equal parts.
To model this situation using colored chips, we can use the following approach:
Divide the total number of chips (20) into five equal parts, each representing 20% of the total number of students.
For the making a brochure option, use four blue chips to represent the 20% of students who choose this option.
For the writing a news article option, use six yellow chips to represent the 30% of students who choose this option.
For the designing a computer presentation option, use ten red chips to represent the remaining 50% of students who choose this option.
So, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
Hence, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
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How many gold medals the team won?
144 /360
Answers
Answer:
The team won 144 gold medals
Step-by-step explanation:
A fraction tells us how many parts of a whole we have
144 / 360 translated into words is 144 out of 360
144 is the part and the 360 is the whole (total)
We want to identity the amount of gold medals the team won had 360 opportunity medals and have 144 of them.Learn more about Fractions here: https://brainly.com/question/1622425
in the adjoining figure prove that<A+<B+<C+<D+<E is equal 180
Answers
It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°
How to find the sum of angles of a polygon?
The adjoining star contains a regular pentagon. Thus;
Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°
Thus;
Each interior angle of the pentagon = 540/5 = 108°
Thus, each exterior angle = 180 - 108 = 72°
Then measure of the angle at the vertex = 180 - 72 - 72 = 36°
Thus, each angle at the vertices of the star have an angle of 36°.
There are 5 star vertices and so;
Sum of angles of 5 star vertices = 5 * 36 = 180°
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A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters
Answers
The area of the swimming pool on the scale drawing will be 300 sq. centimeters.
What is the scale ratio?A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.
For the given scale drawing 1 centimeter represents 2 meters, therefore, the length of 40 meters in one scale drawing will be equal to,
40 meters = 40/2 centimeters = 20 centimeters
The width of 30 meters one scale drawing will be equal to,
30 meters = 30/2 centimeters = 15 centimeters
Now, the area of the swimming pool on the scale drawing will be,
Area= 20 centimeters × 15 centimeters = 300 sq. centimeters
Hence, the area of the swimming pool on the scale drawing will be 300 sq. centimeters.
The complete question is:
A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters. then what is the area of the swimming pool on the scale drawing?
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Find the value of k for which the point (3k,k) lies on the line y = 3x +8.
Answers
Step-by-step explanation:
please mark me as brainlest
If the unit rate is 30 miles per hour, then how much miles is traveled in 9 hours?
Answers
which of the following sets are discrete?!? check all that apply.
Answers
which of the following sets are discrete?
Answer: C. {2,4,6,8}
Step-by-step explanation:
because constituting a separate entity : individually distinct several discrete sections. 2a : consisting of distinct or unconnected elements : noncontinuous. b : taking on or having a finite or countably infinite number of values discrete probabilities a discrete random variable.
Which is equivalent to
64 ^1/4?
O 24/4
O4
O 16
O 16/4
Answers
Answer: [tex]\sqrt[4]{64}[/tex]
Step-by-step explanation:
[tex]64^{\frac{1}{4} }= \sqrt[4]{64}[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).
The slope of is
Answers
The coordinates of point N are (3, 5).2 the answer is 2/1 but just write 2.
We have given that,
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.
What is the coordinate?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5)
Therefore we get,
2 the answer is 2/1 but just write 2.
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The width of a certain rectangle is 2 m greater than half its length. Four times its length is 26 m greater than its perimeter. What are the dimensions of the rectangle?
Answers
Answer:
Length = 30
Width = 17
Step-by-step explanation:
Let L = length of rectangle and W = Width
The first sentence gives the equation
W = L/2 + 2 ==>
2W = L +4 ==>
L = 2W - 4 .... (1)
The perimeter of the rectangle is 2(L+W) = 2L +2W
Second sentence gives us the equation
4L = 2L + 2W + 26 ===>
2L = 2W + 26 ...... (2)
(2) - (1) ==> L = 30 (2W cancels out)
From (1), W = 30/2 + 2 = 15 + 2 = 17
Check:
Using these values and substituting in equation 2 gives us
2 * 30 = 2* 17 + 26
60 = 34 + 26
which matches
Its about creating and Solving Linear Equations by writing linear equations from geometric figures please help
Answers
1. The value of x is 40
m ∠2x + 10 = 90
m ∠3x = 120
m ∠2x +5 = 85
m ∠2x -15 = 65
2. The value of x is 15
m ∠5x = 75
Calculating anglesFrom the question, we are to determine the value of x and the given angles
Since sum of angles is 360°
3x + 2x + 10 + 2x + 5 + 2x -15 = 360°
Collect like terms
3x + 2x + 2x + 2x = 360° - 10° - 5° + 15°
9x = 360
x = 360 / 9
x = 40
∴ x = 40
Then,
m ∠2x + 10 = 2(40) + 10
m ∠2x + 10 = 80 + 10
m ∠2x + 10 = 90
m ∠3x = 3(40)
m ∠3x = 120
m ∠2x +5 = 2(40) + 5
m ∠2x +5 = 80 + 5
m ∠2x +5 = 85
m ∠2x -15 = 2(40) - 15
m ∠2x -15 = 80 - 15
m ∠2x -15 = 65
Hence, the measure of angle 2x-15 is 65
2.
Since sum of angles is 180°
Then,
5x° + x° + 90° = 180°
6x° = 180° - 90°
6x° = 90°
x = 90/6
x = 15
m ∠5x = 5(15)
m ∠5x = 75
Hence, the measure of angle 5x is 75
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Complete the table by converting from a fraction, a decimal, or a percent.
Answers
The value obtained by doing the operation are ,a=0.11,b=11,c=(111/250)d=44,e=(1/8),f=(83/500),h=0.375,i=37.5%,j=(111/125),k=0.888,i=(777/1000),m=77%,n=0.2,o=20%,p=(777/1000),q=66.6%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The procedure of changing the basis of a number is known as number conversion. A binary number is made up of only two numbers: 1 and 0. A decimal number is made up of ten digits ranging from 0 to 9.
The values obtained from the table the decimal and the percentage form are solved as;
[tex]\frac{1}{9} \\\\ 0.3111 \\\\\ 0.1111 \times 100 \\\\ 11.11 \%[/tex]
The other missing values are;
a=0.11
b=11
c=(111/250)
d=44
e=(1/8)
f=(83/500)
h=0.375
i=37.5%
j=(111/125)
k=0.888
i=(777/1000)
m=77%
n=0.2
o=20%
p=(777/1000)
q=66.6%
Hence all the missing values are given above.
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What is the denominator of the simplified expression? (startfraction 2 n over 6 n 4 endfraction) (startfraction 3 n 2 over 3 n minus 2 endfraction)
Answers
The denominator of the simplified expression will be (9n² + 4).
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The expression is given below.
[(2 / 6n + 4)] [(3n + 2) / (3n – 2)]
On multiplication, we have
(6n + 4) / (18n² + 8)
(3n + 2) / (9n² + 4)
The denominator of the simplified expression will be (9n² + 4).
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(x+2)^2-3 evaluate and simplify the equation
Answers
Answer:
[tex](x^{2} +2)-3\\x^{2} +2-3\\x^{2} -1\\(x+1)(x-1)[/tex]
Answer:
x^2+4x+1
Step-by-step explanation:
(x+2)^2-3
(x+2)(x+2)-3
x^2+2x+2x+4-3
x^2+4x+4-3
x^2+4x+1
Mark ran a mean distance of 13.2 km in five days. The next day, Mark ran 20 km.
Find the mean distance Mark ran in the six days.
Answers
Answer:
14.3 km (1 d.p.)
Step-by-step explanation:
To find the mean, divide the sum of all data values by the total number of data values.
If Mark ran a mean distance of 13.2 km in five days, we can use the mean distance for each of the 5 days in our calculation.
[tex]\begin{aligned}\implies \sf mean\:distance & = \sf \dfrac{13.2+13.2+13.2+13.2+13.2+20}{6}\\ & \sf =\dfrac{86}{6}\\\\ & = \sf 14.3\:km\:\:(1\:d.p.)\end{aligned}[/tex]
the answer choices is A. x B. z C. w D.y pls help me, I greatly appreciate all the help I'm getting
Answers
The graphed that represents the new function with the same slope and y-intercept is: graph Y.
What is the Slope and Y-intercept of a Function?Slope = rise/run along a line.
Y-intercept is the y-value of the point on the y-axis that the line intercepts.
Slope of the function given = rise/run = 2/1 = 2
2 multiplied by 1/2 = 2/2 = 1.
Y-intercept of the given function is: 1
1 increased by 3 units is: 1 + 3 = 4
The slope of graph Y = rise/run = 2/2/ = 1
The y-intercept is also 4
Therefore, the answer is: Graph Y
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The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?
a.x⁷+5x⁶-30x³9x+45
b.x-5
c.x+5
d x⁷+5x⁶+6x⁴+30x³+9x+45
Answers
Answer:
x+5 (under assumption you meant to do -3x
Step-by-step explanation:
you can use long division.
Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore
[tex]x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5[/tex]
1 Select the correct answer from the drop-down menu. sinr O tant = cost. Therefore, tan(90-A) = COST. 1/tan(90-A) 1/sin A 1/cos(90 - A) 1/tan A . (All angle measurements are in degrees.) Reset Next 1 Select the correct answer from the drop - down menu . sinr O tant = cost . Therefore , tan ( 90 - A ) = COST . 1 / tan ( 90 - A ) 1 / sin A 1 / cos ( 90 - A ) 1 / tan A . ( All angle measurements are in degrees . )
Answers
[tex]\tan(90^{\circ}-A)\\ \\ =\frac{\sin(90^{\circ}-A)}{\cos(90^{\circ}-A)}\\ \\ =\frac{\cos A}{\sin A}\\\\=\boxed{\frac{1}{\tan A}}[/tex]
como faltar a la escuela
Answers
Answer:
Como faltar a la escuela. Por favor, ¿cuál es el significado?
For 1-3, consider an investment of $6000
that earns 4.5% interest. Use a graphing
calculator if needed.
1. Write an equation to describe the value
V(t) of the investment at time t if the
interest is compounded daily.
Answers
Answer:
See below
Step-by-step explanation:
Period = 1 day
Periodic interest = .045 / 365 (since there are 365 days in a year)
V(t) = 6000 * ( 1 + .045/365)^t where t is in days
V(t) = 6000 * (1+.045/365)^(t * 365) where t is in years