If the first inequality is written as:
3x ≤ -12
Then the correct option is D.
If it is written as it is in the problem, then neither of the graphs is the correct option.
How to solve the compound inequality?
Here we have the inequalities:
3x ≤ 12
2x + 3 > 11
(notice that in all the options, the first inequality has a negative sign, while in the two given inequalities there are no negative sign. This means that you will never get the correct answer if you use the given information, as the problem is incorrectly written).
First, we need to isolate x on both inequalities, we will get:
3x ≤ 12
x ≤ 12/3
x ≤ 4
(As you can see, because we don't have the negative sign, this inequality is different to all the ones in the options).
And for the other:
2x + 3 > 11
2x > 11 - 3
x > 8/2
x > 4
So neither of the options is actually correct.
If we instead write the first inequality as:
3x ≤ -12
We would solve this as:
x ≤ -4
And in that case, our two inequalities are:
x ≤ -4
x > 4
So the correct graph is graph D.
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Can somebody please help answer this word problem using grass method? And showing how u get the answer thanks!!!
WILL MARK BRAINLIEST FOR WHOEVER ANSWERS THIS !!! :DD
Answer:3/20
Step-by-step explanation:
Fraction of total area mowed = (3/5) + (1/4) = 17/20
Therefore fraction of total area left = 1 - (17/20) = (20/20) - (17/20) = 3/20
Could someone help me with this question real quick?
Answer:
Width is 46 meter
Length is 86 meter
Given:
width = wlength = (w + 40)Formula:
Area of rectangle = Length × WidthTrial and improvement:
1st try with w = 50
w(w + 40) = 4000
50(50 + 40) = 4000
4500 ≠ 4000
Value too high.
2nd try with w = 45
w(w + 40) = 4000
45(45 + 40) = 4000
3825 ≠ 4000
Value too small
3rd try with w = 46
w(w + 40) = 4000
46(46 + 40) = 4000
3956 ≠ 4000
This value is somewhat near to the area value.
It is found that width = 46 m then length = (w + 40) = (46 + 40) = 86 m
Determine the period.
The period of the graphed function is T = 8.
How to get the period?For a sinusoidal function, the period is the horizontal distance between two consecutive peaks.
Here we can see the first peak at x = 1, and the second peak is at x = 9.
The horizontal distance is: 9 - 1= 8.
Then we conclude that the period of the function is T = 8.
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Answer:
^ their right :)
Step-by-step explanation:
Its right on Acellus
have a great day!
Hey I need to point of rotation for this question. Need the answer asap :)
Answer:
see explanation
Step-by-step explanation:
the vertices of S under the translation [tex]\left[\begin{array}{ccc}0\\-3\\\end{array}\right][/tex] are
(2, 3 ) → (2, 0 )
(6, 3 ) → (6, 0 )
(4, 5 ) → (4, 2 )
Under an anticlockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) then the above coordinates become
(2, 0 ) → (0, 2 )
(6, 0 ) → (0, 6 )
(4, 2 ) → (- 2, 4 )
which are the coordinates of the vertices of the image T
then the rotation is 90° anticlockwise about the origin , point (0, 0 )
Answer:
Below
Step-by-step explanation:
the vertices of S under the translation are
(2, 3 ) → (2, 0 )
(6, 3 ) → (6, 0 )
(4, 5 ) → (4, 2 )
Under an anticlockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) then the above coordinates become
(2, 0 ) → (0, 2 )
(6, 0 ) → (0, 6 )
(4, 2 ) → (- 2, 4 )
which are the coordinates of the vertices of the image T
then the rotation is 90° anticlockwise about the origin , point (0, 0 )
From the observation deck of a skyscraper, Lavaughn measures a 42°
angle of depression to a ship in the harbor below. If the observation deck is 872 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary
By using trigonometry, we conclude that the horizontal distance is 785.15ft
How to find the horizontal distance?We can think of this as a right triangle.
Where the height of the observation deck is one cathetus and the horizontal distance is the other cathetus,
We know that the depression angle when looking from above is 42°. If we step on this angle, the adjacent cathetus is the height of the deck, then the horizontal distance is the opposite cathetus.
Then we can use the relation:
tan(a) = (opposite cathteus)/(adjacent cathetus).
Replacing what we know:
tan(42°) = (distance)/(872ft)
tan(42°)*872ft = distance = 785.15ft
The horizontal distance is 785.15ft
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Graph the line that represents the equation
Select the values that make the inequality v >= 1 true . ( Numbers written in order from least to greatest going across .)
The values that make v >= 1 true are 2, 3, 4, 5....
How to determine the values?The inequality is given as:
v >= 1
Rewrite properly as:
v ≥ 1
The above means that the true values of v are values greater than 1.
Hence, the values that make v >= 1 true are 2, 3, 4, 5....
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Margret divides a packet of 20 biscuits among her 8 friends. Find the number of biscuits each friend gets. Express the answer as a rational number
The number of biscuits each friend can get would be 2.5.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Margret divides a packet of 20 biscuits among her 8 friends.
In order to find the number of biscuits each friend gets.
20 / 8
= 2.5
Hence, the number of biscuits each friend can get would be 2.5.
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analyze the following budget,with an income of $600,to determine how much can be spent on food for the month
Answer:
C: 80
Step-by-step explanation:
Take 600, and subtract it by the values of 200, 95, 65, and 160.
You get $80 left.
Hope this helps!
I'm having trouble with inequalities, any help will be appreciated, thanks.
Answer:
-3/2 ≤ x < 5
Decimal form:
-1.5 ≤ x < 5
(hope this helps)
50 POINTS .....................
The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]
[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have data shown in the picture.
Let's suppose the regression line is:
y = mx + c
Where m is the slope of the regression line and c is the y-intercept of the line.
We can calculate the value of m and c by using the formula.
After calculating, we get:
m = 0.4925
c = -22.26
Mus. Apt. = 0.49253(IQ score) - 22.26
or
Mus. Apt. = -22.26 + 0.4925(IQ score)
Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
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Answer:
The option (C) Mus. Apt. = -22.26 + 0.4925[the IQ score] is the correct answer. Because the value of slope is 0.4925 and the y-intercept is -22.26.
Point A lies outside of plane P, how many lines can be drawn parallel to plane P that pass through point A.
The number of lines that can be drawn parallel to plane P that passes through point A is 1.
How to depict the information?From the information given, we are told that Point A lies outside of plane P. It should be noted that when a line is drawn from a point to another, it can only be one.
Therefore, the number of lines that can be drawn parallel to plane P that passes through point A is 1.
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Complete the proof that ∠PST≅∠QRT.
S
P
Q
R
T
Answer: Transitive property of congruence
Answer:
5. Substitution
6. Substitution
Step-by-step explanation:
The properties of congruence generally match those of equality;
A ≅ A . . . . reflexive property
A ≅ B, B ≅ C ⇒ A ≅ C . . . . transitive property
A ≅ B, A ≅ C ⇒ B ≅ C . . . . substitution
__
In this proof, the conclusions (statements 5 and 6) are based on substitution. In each case, the elements of the congruence have previously been shown to be congruent to the same thing. This is the setup for making use of the substitution property of congruence.
please find it and ignore the writing from pen
Answer:
18 is answer
Step-by-step explanation:
Answer:
what is business function of beauty
f(x) = x^2 + 5x - 1 is shifted 3 units left the result is g(x). What is g(x)?
Answer:
A. g(x)=x^2+5x+2
Step-by-step explanation:
f(x) = x^2 + 5x - 1 Shift 3 units to the left. k=3
g(x)=x^2+5x-1+3=x^2+5x+2
g(x)=x^2+5x+2
Hope this helps!
If not, I am sorry.
What is the aquare root of 0.00053361
Step-by-step explanation:
no calculator ? or what is the problem ?
I had to use the calculator too.
so, the square root of 0.00053361 is 0.0231.
Select the correct answer.
Julissa is printing out coples for a work training. It takes 4 minutes to print a color copy, and It takes 2 minutes to print a grayscale copy. She
needs to print no fewer than 8 coples within 25 minutes.
Which system of Inequalities represents the number of color copies, ×, and grayscale coples, y, that Julissa can print to meet her goal?
The system of inequalities that represents the number of copies that Julissa can print to meet her goal is given by:
[tex]x + y \geq 8[/tex].[tex]4x + 2y \leq 25[/tex].What is a system of inequalities?A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.
The variables are given as follows:
Variable x: Number of color copies.Variable y: Number of gray scale copies.She needs to print no fewer than 8 copies, hence:
[tex]x + y \geq 8[/tex].
It takes 4 minutes to print a color copy and 2 minutes to print a grayscale copy. She has at most 25 minutes, hence:
[tex]4x + 2y \leq 25[/tex].
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In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is .
If the coordinates of point A are (0,6), the area of rectangle ABEF is square units, and the area of rectangle ACDF is square units.
The perimeter of rectangle BCDE is units.
Area of the rectangle is 96.05 sq.units , The ratio of the areas is 2/3 , Area of rectangle ABEF is 64.03 sq.units.
The complete question is
In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is(a)_____ . If the coordinates of point A are (0,6), the area of rectangle ABEF is(b)____ square units, and the area of rectangle ACDF is(c)____ square units. The perimeter of rectangle BCDE is(d)____ units.
What is a Rectangle ?A rectangle is a polygon with four sides and for angles and four vertices , Its opposite sides are parallel and equal.
The area of rectangle ACDF is square units. = ?
The perimeter of rectangle BCDE is units. = ?
[tex]\rm d = \sqrt{ (y_2 -y_1 )^2 + (x_2 -x_1)^2}\\\\\rm d = \sqrt{ (2 - 6 )^2 + (5 - 0)^2}[/tex]
d = 9.605
the length of [tex]\rm EF[/tex]
[tex]\rm FE[/tex] = 10 units.
and [tex]\rm FD[/tex] = 15 units
Area of a Rectangle [tex]\rm ACDF[/tex] is given by
Length x width
10 * 9.605
Area of the rectangle is 96.05 sq.units
Perimeter of a rectangle is = 2( length + breadth)
ED = FD-FE = 15- 10 = 5 units
Therefore
Perimeter = 2 ( 5 + √41 )
Perimeter = 22.81 units
Area of rectangle ABEF is 64.03 sq.units
The ratio of the areas
= 64.03/96.05
= 0.666667
= 2/3
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Solve the following system to find the point(s) of intersection.
y = x² - 2x - 3
y = 2x - 3
x=4 y=5
if we put two pharases together
the answer is as follows pic :
x=4 y=5
How do I even figure this out??
The value of a is 1/64.
The rules of the exponent are
(a) [tex]a^m*a^n=a^{m+n[/tex]
(b)[tex]a^m/a^n=a^{m-n[/tex]
(c)[tex](a^b)^c=a^{bc}[/tex]
(d) [tex]\sqrt[n]{a}=a^{1/n[/tex]
(e) a⁻ⁿ=1/aⁿ
From the table it is clear that
By the rule of the exponent a⁻ⁿ=1/aⁿ
where a=2
2⁻¹ = 1/2¹ = 1/2
2⁻² =1/2² =1/4
2⁻³ =1/2³ =1/8
2⁻⁴ =1/2⁴ =1/16
2⁻⁵ =1/2⁵ =1/32
So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.
From the above, it is clear that 2⁻ⁿ =1/2ⁿ
using the above formula
2⁻⁶= 1/2⁶ =1/64= a
Therefore the value of a is 1/64.
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Divide: 1,485 ÷ 0.09
1,485 ÷ 0.09
Answer:
16500
Step-by-step explanation:
Explain some acceptable reasons for proofs?
Geometric proofs are a list of Statements and Reasons used to prove that a given mathematical concept or idea is true. Statements are claims about a geometric problem that cannot be proven true until backed by a mathematical Reason. Reasons are pieces of evidence that support a Statement.
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (1, StartRoot 7 EndRoot) lie on the circle shown?
Explain.
Yes, the distance from (–2, 4) to (1, ) is 4 units.
Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
No, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is not 4 units.
No, the distance from (–2, 4) to (1, StartRoot 7 EndRoot) is not 4 units.
Yes, the distance from (-2, 0) to (1, √7) is 4 units.
How to Interpret the Equation of a Circle?
We know that the general form of equation of the circle is given by;
(x - h)² + (y - k)² = r²
where;
(h, k) is the coordinate of the center
r is the radius
From the attached image, the radius is equal to the distance between the center and the point (-2,4). Thus, r = 4 and so we have;
(x + 2)² + (y - 0)² = 4²
(x + 2)² + y² = 16
If the distance between the center and the point is equal to the radius of the circle , then the point lies on the circle and the formula to calculate the distance between two points is;
d = √[(y₂ - y₁)² + (x₂ - x₁)²]
At A(-2, 0) and B(1, √7), we have;
d = √[(√7 - 0)² + (1 - (-2))²]
d = 4 units
Therefore we can conclude that the distance from (-2, 0) to (1, √7) is 4 units.
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−3x−6+(−1) What is it evaluated
Answer:
-3x-7
Step-by-step explanation:
Remember this in mind while solving.
negative + negative = negative.
= −3x−6+(−1)
= -3x-7
Therefore when −3x−6+(−1) is evaluated it is
-3x-7
Find the measure of Angles A and B and the length of BC?
Answer:
dummy its 23 bc angel A
Step-by-step explanation:
WRITE iT dOwN nOW dUmMy
Triangle FGH is an equilateral triangle with sides measuring 34 StartRoot 3 EndRoot units.
Triangle F G H is shown. A perpendicular bisector goes from point G to point R on side H F. The length of G H is 34 StartRoot 3 EndRoot, the length of G F is 34 StartRoot 3 EndRoot, and the length of H F is 34 StartRoot 3 EndRoot.
What is the height of the triangle?
17 units
34 units
51 units
68 units
The height of the triangle FGH is equal to 51 units.
Triangle FGH is an equilateral triangle, thus we understand that each of its sides is identical.
Every side's length is specified as 34√3 units.
In order to split HF into two equivalent halves, use a perpendicular bisector. This implies,
34√3/2=17√3
By using the Pythagorean theorem, which states that the total of a triangle's two sides matches the square of its hypotenuse, we may determine the height.
a²+b²=c²
Here, a=17√3
b=height &
c=34√3
Therefore, from the above equation, we can say,
b²=c²-a²
⇒b²=(34√3)²-(17√3)²
⇒b²=([tex]34^{2}*3[/tex])-([tex]17^{2} *3[/tex])
⇒b²=3468-867
⇒b²=2601
⇒b=[tex]\sqrt{2601}[/tex]
⇒b=51 units
Hence, it is concluded that the height of the triangle is (c)51 units.
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Answer:
C. 51 units
Step-by-step explanation:
A sequence starts with: 32, 31, 30, 29...
Calculate the next 3 terms
Answer:
28,27,26
sequence=-3
Step-by-step explanation:
Answer:
[tex]\fbox {28, 27, 26}[/tex]
Step-by-step explanation:
Given :
⇒ a = 32
⇒ d = 31 - 32 = -1
Finding next 3 terms :
⇒ 29 - 1 = 28
⇒ 28 - 1 = 27
⇒ 27 - 1 = 26
Embáulate the given function for f(8) f(x)=(x-5)2 f(8=
Answer:
f(8) = 9
Step-by-step explanation:
f(x)=(x-5)^2
Let x = 8
f(8)=(8-5)^2
= 3^2
= 9
what odd 3 digit number has digits that are all the same and that add up to 9?
Answer:
3
Step-by-step explanation:
3 is an odd number and obviously the only odd (same) three digit that add up to 9
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Before opening night, the cast of Wicked put on a matinee and evening dress rehearsal at the Gershwin Theatre. At the Saturday matinee, 350 people attended the show. For the Saturday evening performance, 40% more people attended the performance. If the average cost of tickets was $182, how much money did the Gershwin Theatre collect from ticket sales of the Saturday performance?
The Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
At the Saturday matinee, 350 people attended the show.
The total number of people who watched the show on Saturday = 350
For the Saturday evening performance, 40% more people attended the performance.
350 x 40%
= 350 x 0.4
= 140
Total people will be = 350 + 140 = 490
If the average cost of tickets was $182
For 490 people = 490 x 182 = $89180
Hence, the Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.
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