Answers
Answer:
C. [tex]-x-6>-3.5[/tex]
Step-by-step explanation:
One is asked to find which inequality has ([tex]x=-3[/tex]) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.
Simplify each of the inequalities, then evaluate to see which one has ([tex]x=-3[/tex]) as a part of its solution set.
A. [tex]-x -6<-3.5[/tex]
[tex]-x<2.5[/tex]
[tex]x>-2.5[/tex]
B. [tex]-x-6>3.5[/tex]
[tex]-x>9.5[/tex]
[tex]x<-9.5[/tex]
C. [tex]-x-6>-3.5[/tex]
[tex]-x>2.5[/tex]
[tex]x<-2.5[/tex]
D. [tex]x-6>-3.5[/tex]
[tex]x>2.5[/tex]
As can be seen, option (C [tex]-x-6>-3.5[/tex]) is the only one that fits this requirement. Since option (C) simplifies down to ([tex]x<-2.5[/tex]) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).
Related Questions
Help me do this please
Answers
Answer:
I think that ,The volume is 49.5 cm3
which of the following expressions is equal to -3x^2-27?
Answers
Answer:
6
[tex] \sqrt{2} [/tex]
1. Any linear inequality in one variable has a single-value solution like an equation.
True or False
2. A value is a solution to an inequality if we can substitute it into the inequality and get a true statement.
True or False
Answers
Answer:
1. false
2. true
Step-by-step explanation:
I hope it's correct
The statement a) false and b) true are the correct answers.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.
For the given situation,
An inequality which involves a linear function is a linear inequality. It looks like a linear equation, except that the ‘=’ sign is replaced by an inequality sign, called linear inequations.
a) Any linear inequality in one variable has a single-value solution like an equation.
A solution to a linear inequality is a real number that will produce a true statement when substituted for the variable.
Linear inequalities have either infinitely many solutions or no solution.
Thus the statement is false.
b) A value is a solution to an inequality if we can substitute it into the inequality and get a true statement.
Any solution of an inequality in one variable is a value of the variable.
Thus the statement is true.
Hence we can conclude that for the statement a) false and b) true are the correct answers.
Learn more about inequalities here
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What is the domain of the square root function graphed below?
Answers
Answer:
D
Step-by-step explanation:
The graph clearly shows that x=>3
Classify the polygon as regular or irregular, and concave or convex.
Answers
Answer:
This would be a regular polygon.
Step-by-step explanation:
A regular polygon has congruent sides and interior angles.
An irregular polygon does not have congruent sides and all interior angles.
A convex polygon does not have a interior angle greater than 180°.
Lastly, a concave polygon has only one interior angle greater than 180°.
Using the process of elimination, it would not be a convex or concave polygon. Now we have either a regular or irregular polygon. This polygon can not be a irregular polygon because all the sides are congruent. This means that this polygon is a regular polygon!
The given polygon is a regular convex polygon.
What is a polygon ?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. The interior of a solid polygon is sometimes called its body.
Given,
Polygon has 8 edges and 8 vertices.
1. Regular or Irregular:
A regular polygon has congruent sides and interior angles.
In the figure all sides are of equal length and the angle are same so, It is a regular polygon.
2. Convex or concave:
Convex polygon has all interior angles less than 180° while in concave polygon at least one interior angle should be greater than 180°.
In the given polygon all angles are less than 180°, so it is a convex polygon.
Hence, by the above explanation, the given polygon is regular convex polygon.
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The mean age of the students in this class is 15.75. The standard deviation is 1.55. Determine the number of standard deviations from the mean required to include
of the ages listed.
13, 17, 18, 15, 16, 14, 15, 18, 17, 16, 15, 16, 13, 15, 17, 17
Answers
Answer:
1.774 standard deviations
Step-by-step explanation:
From the data, the minimum value is x = 13 and the maximum value is x' = 18. The mean X = 15.75 and the standard deviation, σ = 1.55.
The difference between the mean and the minimum value is the deviation from the mean. So, X - x = 15.75 - 13 = 2.75. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.
So, 2.75/1.55 = 1.774.
So, the number of standard deviations to contain the value 13 is 1.774σ
Also, the difference between the maximum value and the mean is the deviation from the mean. So, x' - X = 18 - 15.75 = 2.25. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.
So, 2.25/1.55 = 1.452.
So, the number of standard deviations to contain the value 18 is 1.452σ
Since 1.774σ > 1.452σ and 1.774σ would contain both the values of 13 and 18, the number of standard deviations from the mean required to contain the values is 1.774 standard deviations.
What is the slope of the line below is -5. Which of the following is the point-slope form of the line?
Answers
Answer:
[see below]
Step-by-step explanation:
Point slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
(x1, y1) - a point
m - slope
We are given the point of (2, -7), and the slope of -5.
[tex]y-y_1=m(x-x_1)\rightarrow y-(-7)=-5(x-2)\rightarrow\boxed{y+7=-5(x-2)}[/tex]
Hope this helps.
HURRY QUICKLY Ashley is preparing for a horse riding competition. She has trained her horse for 4 hours and has completed 172 rounds. At what rate has Ashley ridden her horse in rounds per hour?
A.
42 rounds per hour
B.
44 rounds per hour
C.
45 rounds per hour
D.
43 rounds per hour
Answers
Step-by-step explanation:
C. 45 rounds per hour. is the answer
Answer:
D (43 Rounds Per Hour)
Step-by-step explanation:
Ashley has completed 172 rounds and trained her horse for 4 hours. Supposing she riding is training her horse, we can divide 172 by 4, showing how much rounds is completed in an hour. If you think about it, dividing by four is making it four times less. And since Ashley have ridden it for four hours, dividing it by four makes one hour. Now, for the math, we do 172/4 (172 divided by 4), and get 43, which is D.
Guided Practice
Find the first, fourth, and eighth terms of the sequence.
an=−2 · 5n−1a subscript n baseline equals negative 2 times 5 superscript n minus 1 baseline
A.
–2; –250; –156,250
B.
0; –250; –156,250
C.
–10; –1000; –10,000,000
Answers
Answer:
A.
–2; –250; –156,250
Step-by-step explanation:
A(1) = -2 x 5(1) - 1 = -11
A(4) = -2 x 5(4) -1 = -41
A(8) = -2 x 5(8) -1 = -81
...............................................................................................................................................
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which term
so
an=-2(5)^(n-1)
first term is -2
4th term is subsitue 4 for n
a4=-2(5)^(4-1)
a4=-2(5)^3
a4=-2(125)
a4=-250
4th term is -250
--------------------------
8th term
a8=-2(5)^(8-1)
a8=-2(5)^7
a8=-2(78125)
a8=-156250
8th term is -156250
...............................................................................................................................................
A(1)=2*5^1-1=2*5^0=2*1=2
a(4)=2*5^4-1=2*5^3=2*125=250
a(8)=2*5^8-1=2*5^7=2*78,125=156,250
...............................................................................................................................................
2, 250, 156, 250
100 divided by 3.2 Thank u
Answers
Answer:
31.25
Step-by-step explanation:
125/4
= 31.25
pls help i need to finish this asap !!
Answers
Answer:
b = -3
Step-by-step explanation:
Using the graph, when x=2
y = -3
Help solve both of these questions
Answers
p
x
=
x
3
−
4
x
2
+
a
Step 1: Flip the equation.
x
3
−
4
x
2
+
a
=
p
x
Step 2: Add -x^3 to both sides.
x
3
−
4
x
2
+
a
+
−
x
3
=
p
x
+
−
x
3
−
4
x
2
+
a
=
−
x
3
+
p
x
Step 3: Add 4x^2 to both sides.
−
4
x
2
+
a
+
4
x
2
=
−
x
3
+
p
x
+
4
x
2
a
=
−
x
3
+
p
x
+
4
x
2
Answer:
a
=
−
x
3
+
p
x
+
4
x
2
What is the value of q in the equation 5q − 10 = 75?
Answers
Answer:
should be 17
Step-by-step explanation:
Laurie Corporation uses the FIFO method in its process costing system. Department A is the first stage of Laurie Corporation's production process. The following information is available for conversion costs for the month of May for Department A:
Units Work in process, beginning (25% complete with respect to conversion costs) 8.000 Started in May 40,000 Completed in May and transferred to Department B 38,000 Work in process, ending (60% complete with respect to conversion costs) 10.000
How many are the equivalent units of production for conversion costs for the month? O
A. 42,000 units
B. 36,000 units
C. 44,000 units
D. 38,000 units
Answers
Answer:
A.
Step-by-step explanation:
42,000 units
I need help , slope calculator
Answers
Answer:
Step-by-step explanation:
change in x (horizontal) = 4 - 1 = 3
Change in y (vertical) = 9 - 3 = 6
Slope = change in x / change in y
slope = 3 / 6 = 1/2
Which equation can be solved using the one-to-one property?
3X = 10
4In x = 2
log x = 5
4* = 47x+2
Answers
Answer:
3x=10
Step-by-step explanation:
x=10-3
x=7
i hope this answer will help u
Answer:
4x = 47x+2
Step-by-step explanation:
Using the one–to–one property, you can set x = 7x + 2.
We want to find the zeros of this polynomial:
p(x) = 2x^3 + 3x^2 - 18x -27.
Plot all the zeros (x-intercepts) of the polynomial in the graph.
Answers
Answer:
-3,-1.5,3
Step-by-step explanation:
(x+3) x=-3
(x-3) x=3
(2x+3) x=-3/2
a bag contains 10 playing cards . 7 of which are Black and 3 Red . Two cards are drawn one after the other from the bag without replacement. A. Find the probability that a Red and a Black cards were drawn.
Answers
Number of red balls =3
Number of black balls =7
Total number of balls =10
Let ,P(A)= Probability that first is red
P(B)= Probability that second is red
If second is red, there are 2 possible ways
Either first is red and second is red.
Or first is black and second is red.
So,
P(B)=
10
3
C
1
×
9
2
C
1
+
10
7
C
1
×
9
3
C
1
=
90
6
+
90
21
=
90
27
=
10
3
Probability that first is red, given second is red
P(A/B)=
P(B)
P(A∩B)
=
10
3
10
3
C
1
×
9
2
C
1
=
10
3
90
6
=
90
6
×
3
10
=
27
6
=
9
2
Find the equation of the line that is parallel
to the line y = -5x - 9 and passes
through the point (-4,-9) Write the
equation in slope-intercept form.
Answers
A parallel line would contain the same slope and have a different y-intercept.
Using the slope of the original line you would start with:
Y = -5x + b, where b is the new y-intercept.
Using the given point replace x and y and solve for b:
-9 = -5(-4) + b
Simplify:
-9 = 20 + b
Subtract 20 from both sides
-29 = b
Now replace b in the equation to get:
Y = -5x -29
40 POINTS I’ll give brainlist
Answers
Answer:
I don't understand the equation, please state it differently
Write the following surds in exponential form square root of 2
Answers
Answer:
[tex] {2}^{1 \div 2[/tex]
Erica drives 25 miles south, and then drives east. After a while, it is determined that she's 60 miles (diagonally) from where she started. How far east did she drive? (HINT: draw a rough sketch!)
Answers
The distance she drove east from the starting point is 54.54 miles.
The given parameters include;
initial displacement of Erica, d₁ = 25 miles south
final position of Erica, d₂ = 60 miles east
The displacement of Erica from the initial position as shown in the diagram is calculated as;
Apply Pythagoras theorem, to solve for x;
x² = d₂² - d₁²
x² = 60² - 25²
x² = 2975
x = √2975
x = 54.54 miles
Therefore, the distance she drove east from the starting point is 54.54 miles.
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factor and solve problem in picture pleaseeee
Answers
I hope it's right have a great day :)
PLS HELP IM SLOW
Which graph represents the function ?
Answers
Answer:
B
Step-by-step explanation:
If you plug in x=1, then you get that f(1)=5, meaning that (1, 5) is a point on the graph.
Since graph B has the only line that passes through (1, 5), it must be the answer.
pls help i will give brainliest for answer and explanation.
Answers
Answer:
36
Step-by-step explanation:
girls:boys=2:3
2units=24
1unit=24÷2=12
boys have 3 units
3units=12 x 3 =36
There are 36 boys
Question in the picture
Answers
Answer:
-4m/s²
Step-by-step explanation:
Given Equation of velocity :-
v = 6t² - 4t - 2Differenciation of first order will give acclⁿ :-
v = 6t² - 4t -2 dv/dt = d(6t² - 4t -2)/dt dv/dt = 2*6 t¹ - 4*1 t⁰ - 0 dv/dt = 12t - 4 a = 12t - 4At t = 0 ,
a = 12*0 - 4 m/s² a = -4m/s²can you please help me with this.
Answers
Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
[tex]a_n=a_1+d(n-1)[/tex] where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
[tex]a_n=2+3(n-1)[/tex] which simplifies to
[tex]a_n=2+3n-3[/tex] and a bit more to
[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
[tex]a_{13}=3(13)-1[/tex] so
[tex]a_{13}=38[/tex]
Answer:
38
Step-by-step explanation:
This isn't the most efficient way but it's the best I can do.
2, 5, 8, 11....
The pattern is that we add 3 every time.
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,
1 , 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
We can see that 38 is the 13th term of the sequence.
what expressions are equivalent to 5+(-3)(6x-5)
Answers
Answer:
Hi!
Step-by-step explanation:
-5 (x-3) + 3(4 - x) + 2x
Let's distribute the -5 within its parentheses.
A negative multiplied by a negative number has a positive result.
Let's distribute the 3 within its parentheses.
-5x+15+12-3x+2x
Combine like terms...
-5x-3x+2x=-6x
15+12=27
-6x+27
Both numbers are divisible by 3...
3(-2x+9)
or -3...
-3(2x-9)
what is the length of the third side triangle?
Answers
Answer:
x = 8cm
Step-by-step explanation:
17² = 15² + x²
289 = 225 + x²
- x² = 225 - 289
x² = 64
x = √64
x = 8
Good Luck! :)[tex]{ \boxed{ \sf \color{blue}{answer}}}[/tex]
x = 8 cm
Step-by-step explanation:
17² = 15² + x²
289 = 225 + x²
x² = 225 - 289
x² = 64
x = √64
x = 8
___________________Teorema pythagoras
BRAINIST FOR CORRECT AWNSER
What is the area of the figure below?
12.5 sq. units
7.5 sq. units
25 sq. units
15 sq. units
Answers
Answer:
7.5 square units
Step-by-step explanation:
3x5=15. 15/2=7.5. 7.5 is the area. PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS brainliest.
Answer:
7.5 sq units
Step-by-step explanation:
Let's list out all the points in the triangle.
(0,4) (4,1) and (5,4)
Find the distance b/w each side
distance b/w (0,4) and (4,1) is
[tex]\sqrt{(1-4)^{2}+( 4-0)^{2} }[/tex] =[tex]\sqrt{(-3)^{2}+16 } =\sqrt{9+16}=\sqrt{25} =5[/tex]
distance b/w (4,1) and (5,4) is
[tex]\sqrt{(4-1)^{2}+(5-4)^{2} }=\sqrt{9+1}=\sqrt{ 10 }[/tex]
distance b/w (5,4) and (0,4) is
[tex]\sqrt{(4-4)^2+(0-5)^2}=\sqrt{25} =5[/tex]
So the given triangle is an isoscles triangle meaning 2 sides are equal.
So we can use the formula 1/2*base*height=
1/2*[tex]\sqrt{10}[/tex]*5
=0.5*3.16*5=7.905
So the approximate answer would be 7.5 sq units
