Answer:
1) [tex]\boxed{x > 5}[/tex]
2) [tex]\boxed{x \geq -12}[/tex]
3) [tex]\boxed{x \leq -2}[/tex]
4) [tex]\boxed{x > 15}[/tex]
5) [tex]\boxed{x < -8}[/tex]
6) [tex]\boxed{x \geq -19}[/tex]
7) [tex]\boxed{x \geq 2}[/tex]
8) [tex]\boxed{x > 9}[/tex]
9) [tex]\boxed{ x \leq - 4}[/tex]
10) [tex]\boxed{x < 7}[/tex]
Step-by-step explanation:
1) [tex]2x-7 > 3[/tex]
Adding 7 to both sides
=> 2x > 3+7
=> 2x > 10
Dividing both sides by 2
=> x > 5
2) [tex]\frac{x}{4} + 11 \geq 8[/tex]
Subtracting 11 to both sides
[tex]\frac{x}{4} \geq 8 -11\\\frac{x}{4}\geq -3[/tex]
Multiplying both sides by 4
x ≥ -3 * 4
x ≥ -12
3) -6x+7 ≥ 19
Subtracting 19 to both sides
=> -6x ≥ 19-7
=> -6x ≥ 12
Dividing both sides by -6
=> x ≤ -2
4) -10 + 4x > 50
Adding 10 to b.s
=> 4x > 50+10
=> 4x > 60
Dividing b.s by 4
=> x > 15
5) [tex]\frac{x}{-2} - 17 > -13[/tex]
[tex]\frac{x}{-2} - 17 > -13\\Adding \ 17 \ to \ both \ sides\\\\\frac{x}{-2} > -13+17\\\\\frac{x}{-2} > 4\\Multiplying both sides by -2[/tex]
=> x < 4*-2
=> x < -8
6) 8 - 2x ≤ 46
Subtracting 8 from b.s
=> -2x ≤ 46-8
=> -2x ≤ 38
Dividing b.s by -2
=> x ≥ -19
7) -13x+1 ≤ -25
Subtracting 1 from both sides
=> -13x ≤ -25-1
=> -13x ≤ -26
Dividing both sides by -13
=> x ≥ 2
8) [tex]-7 + \frac{x}{3} > -4[/tex]
Adding 7 to b.s
=> x/3 > -4+7
=> x/3 > 3
Multiplying 3 to b.s
=> x > 3*3
=> x > 9
9) -9x-19 ≥ 17
Adding 19 to both sides
=> -9x ≥ 17+19
=> -9x ≥ 36
Dividing both sides by -9
=> x ≤ -4
10) 16 - x > 9
Adding x to both sides
=> 16 > 9 + x
Subtracting 9 from both sides
=> 16 - 9 > x
=> 7 > x
OR
=> x < 7
NOTE: Whenever, we divide the inequality by a negative signed term, the inequality changes to its opposite.
Answers:
[tex]\boxed{x > 5}\\ \boxed{x \geq -12}\\\boxed{x \leq -2}\\\boxed{x > 15}\\\boxed{x < -8}\\\boxed{x \geq -19}\\ \boxed{x \geq 2}\\\boxed{x > 9}\\\boxed{ x \leq -4}\\ \boxed{x < 7}[/tex]
Step-by-step explanation:
2x - 7 > 3
2x > 10
x > 5
x/4 + 11 ≥ 8
x/4 ≥ -3
x ≥ -12
-6x + 7 ≥ 19
-6x ≥ 12
x ≤ -2
-10 + 4x > 50
4x > 60
x > 15
-x/2 - 17 > -13
-x/2 > 4
-x > 8
x < -8
8 - 2x ≤ 46
-2x ≤ 38
x ≥ -19
-13x + 1 ≤ -25
-13x ≤ -26
x ≥ 2
-7 + x/3 > -4
x/3 > 3
x > 9
-9x -19 ≥ 17
-9x ≥ 36
x ≤ -4
16 - x > 9
-x > -7
x < 7
Triangle △ABC has an altitude CD . Which of the three points, A, B, D are between the other two if angles A and B are both acute?
D is point lies between A and B.
Triangle △ABC has an altitude CD.
angles A and B are both acute.
Altitude is perpendicular bisector to side of triangle from opposite vertex of triangle.
Since △ABC
A and B are acute angles, and that altitude CD has one vertex at c and other is between A and B i.e. D
Thus, the required point of Altitude CD D lies between A and B.
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Line l has a slope of...
Hey there! :)
Answer:
Option C.
Step-by-step explanation:
A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:
Slope of perpendicular line = -3/2.
Remember, the equation for solving for the slope is:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We must find points that when plugged into this equation, equal to -3/2.
Plugging in the points in option A:
[tex]\frac{2}{3} \neq \frac{-3}{2}[/tex]
Option B:
[tex]\frac{3}{4} \neq \frac{-3}{2}[/tex]
Option C: This is the correct answer.
[tex]\frac{-3}{2} = \frac{-3}{2}[/tex]
Option D:
[tex]\frac{2}{10}\neq \frac{-3}{2}[/tex]
A point located at (6, 4) is reflected over the x-axis. What are the coordinates of the image?
(6,4)
(-6,-4)
(-6,4)
(-4, 6)
Answer:
(6,-4)
Step-by-step explanation:
Reflecting over the x axis means flipping the point or line over it. Therefore the point's y value would the opposite from the beginning.
Answer:
(6, -4)Step-by-step explanation:
For any point reflected over the x-axis, the x-coordinate stays the same and the y-coordinate becomes negative.
6 stays the same
4 becomes -4.
I'm always happy to help :)Which choice shows the image of quadrilateral WXYZ after a reflection over the y-axis followed by a translation down 2 units?
Answer:
Choices are not provided, but you can answer the question as follows: take the coordinates of quadrilateral WXYZ and apply:
W(xW, yW) -> W'(-xW, yW-2)
X(xX, yX) -> X'(-xX, yX-2)
Y(xY, yY) -> Y'(-xY, yY-2)
Z(xZ, yZ) -> Z'(-xZ, yZ-2)
For example, if point W is located at (1, 1), W' would be located at (-1, -1)
Step-by-step explanation:
Reflection over the y-axis transforms point (x, y) into (-x, y)
Translation down 2 units transforms point (x, y) into (x, y-2)
Answer:
The first choice hope this helps :)
Step-by-step explanation:
The total amount of water a tank can hold is 14 and one-half gallons. Raul wants to find out how many 1 and one-fourth-gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Select two options.. StartFraction 29 over 2 EndFraction divided by StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction times StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction times StartFraction 4 over 5 EndFraction StartFraction 2 over 29 EndFraction times StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction divided by StartFraction 4 over 5 EndFraction
Answer:
Water a tank can hold = 14 1/2 = 29/2
Volume of bucket 1 1/4 = 5/4
The expresson can be
29/2 / 5/4
No. of buckets used = 29/2 x 4/5
Answer:
b and e
Step-by-step explanation:
Find the amount in an account where $500 in invested at 2.5% compounded quarterly for a period of 10 years.
Answer: $641.51
Step-by-step explanation:
A = p (1+ r/n)^nt
A = 500 (1 + 0.025/4)^4*10
A = 641.51
The amount in an account where $500 in invested at 2.5% is $641.51.
Using this formula
A = p (1+ r/n)^nt
Where:
A=Amount
P= Principal=$500
R=Rate=2.5% or 0.025
n=4 (Quarterly)
T=Time=10 years
Let pug in the formula
A = $500(1 + 0.025/4)^4×10
A=$500(1.28302)
A =$641.51
Inconclusion the amount in an account where $500 in invested at 2.5% is $641.51.
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HELPPPPP NEEDED FIRST GETS BRAINLLEST !!!! Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more than Amari, and DJ collected $15.60 less than Kobe. If x = the amount raised by Amari, choose the expressions that represent the amount each other player raised. x + 24.55 x + 8.95 2x – 15.60 3x + 24.55
Answer:
Kobe raised x + 24.55
Amari raised x
DJ raised 2x – 15.60
help please heeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
8.29166
Step-by-step explanation:
3.5_0.375+5.166666
Answer:
[tex]8 \frac{7}{24} [/tex]
Step-by-step explanation:
Please see attached picture for full solution.
Find the missing side length and angles of △ABC given that m∠A=56∘, b=9, and c=11. In triangle A B C, side A B is 11 units long, side A C is 9 units long, and side B C is labeled a. Angle A measures 56 degrees.
Answer:
1) Side a = 9.55
2) Angle B = 51.36°
3) Angle C = 72.67°
Step-by-step explanation:
We would be solving the above questions using Law of Cosines
1) To find Side a using Law of cosines
a² = b² + c² - 2bc × Cos A
a = √(b² + c² - 2bc × Cos A)
a = unknown
b = 9
c = 11
Angle A = 56°
a = √(9² + 11² - 2 × 9 × 11 × Cos 56°
a = 9.55405
Approximately a = 9.55
2) To find Angle B
We would use the Law of Cosines as well
b² = a² + c² - 2ac × Cos B
Cos B = a² + c² - b²/2ac
B = arc cos ( a² + c² - b²/2ac)
a = 9.55
c = 11
b = 9
B = arc cos (9.55² + 11² - 9²/2 × 9.55× 11)
B = 51.36°
3) To find Angle C
We would use the Law of Cosines as well
c² = a² + b² - 2ac × Cos C
Cos C = a² + b² - c²/2ab
C= arc cos ( a² + b² - c²/2ab)
a = 9.55
b = 9
c = 11
C = arc cos (9.55² + 9² - 11²/2 × 9.55× 9)
C= 72.67°
Use the tables below to find (p - 9)(2).
Answer:
5
Step-by-step explanation:
p(2) - q(2)
3 - (-2)
3 + 2
= 5
What is the explicit formula for this geometric sequence? 64, 16, 4, 1, ...
Answer:
C.
Step-by-step explanation:
Explicit Formula: an = a1(r)^(n-1)
Our r = 1/4 because to get 64 down to 16 you need to divide by 4 or multiply by 1/4
Our a1 is the 1st term of the sequence, which is 64.
Plug it in: an = 64(1/4)^(n-1)
So our only viable option is C.
Answer:
Option C
Step-by-step explanation:
=> [tex]a_{n} = a_{1} * r^{(n-1)[/tex]
Where a1 = 64, r = 1/4
So,
=> [tex]a_{n} = 64 * (\frac{1}{4}) ^{n-1}[/tex]
an = -2 + 3/2 (n-1)
What is the 21st term of the sequence?
Answer:
[tex]a_{n} = -83/40[/tex]
Step-by-step explanation:
Given
[tex]a_{n} = -2 + 3/2 (n-1)[/tex]
In this problem to find 21st term we put 21 in place of n in the equation
[tex]a_{n} = -2 + 3/2 (21-1) = \\a_{n} = -2 + 3/2 (20)\\a_{n} = -2 + 3/40 = (-2*40 +3)/40 \\a_{n} = -83/40\\[/tex]
Thus, 21st term is -83/40.
Mr. Prasad has a Savings Account in a bank. How much money will he have in his account at the end of the first year if he saves $55.00 every
month?
Answer: $660
Step-by-step explanation:
If he saves $ 55 every month, he will have
55 x 12 = 660
Represent the number of feet in y yards, f feet
and i inches.
Answer: there a 3 feet to a yard a 36 inches to a yard( 12 inches to a foot) 1/3 of a yard is a foot hope this helps
Step-by-step explanation:
Find the value of x in this figure
A. 120
B. 105
C. 115
D. 110
Answer:
A. 120
Step-by-step explanation:
To find the measure of x, you would need to subtract the major arc minus the minor arc. A circle is 360 degrees so, 360-60=300. That is the major arc. Now, we use the formula, x=1/2(major-minor). When we plug the information in, we get 1/2(300-60)...1/2(240)...x=120.
Hence,
the correct option would be 120.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
The following is a geometric sequence. Find the next number in this sequence.
1, -2, 4
Answer:8
Might I be right
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the area of the base is
14.1 in' and the height of the pyramid is 11.1 in. Round your answer to the nearest
tenth of a cubic inch.
I think its 57.17 or about 52.2cubic inch
Solve 3n - 5p + 2n = 10p for n
Answers above
Answer:
D
Step-by-step explanation:
3n - 5p + 2n = 10p
Add like terms.
5n - 5p = 10p
Add 5p to both sides.
5n = 10p + 5p
5n = 15p
Divide both sides by 5.
n = 15/5p
n = 3p
The solution of expression for n is,
⇒ n = 3p
We have to given that,
An expression to solve,
⇒ 3n - 5p + 2n = 10p
Now, We can solve the expression for n as,
⇒ 3n - 5p + 2n = 10p
Combine like terms,
⇒ 3n + 2n = 10p + 5p
⇒ 5n = 15p
Divide by 5 both side,
⇒ n = 15p/5
⇒ n = 3p
Therefore, The correct option is,
D. n = 3p
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Which statements could he include in his explanation?
Select two options.
Keshawn is asked to compare and contrast the domain
and range for the two functions.
f(x) = 5x
g(x) = 5
The domain of both functions is all real numbers.
The domain of f(x) is x>5.
The domain of g(x) is x > 5.
The range of f(x) is y> 0.
The range of g(x) is y>0.
Answer:
Option 1: Domain of both functions are all real numbers.
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5
Answer: Option 1
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5
What is the maximum number of y-intercepts a line can have?
I will mark brainliest!
Answer:
one
Step-by-step explanation:
The maximum number of y intercepts a line can have is one
A line can only cross the y axis one time
A line can only cross the x axis one time
Otherwise it is not linear
How do you know if x is on the rhs or the lhs?
Answer:
Step-by-step explanation:
RHS means on the right hand side
And LHS means on the left hand side
So if x is one the right side of the expression ,it is on the RHS and if it is on the left side of the expression , it is on the LHS
Pls help me I need the help!
Answer:
1a) 15, 7, x+5
1b) 7
2a) 18, 3r
Step-by-step explanation:
1a) Since Claire is 5 years older, she will always be her cousin's age plus 5
1b) Claire is 5 years older, so Claire's cousin is 5 years younger. So, Claire's cousin is Claire's age minus 5
2a) Diego will have the amount of Han's books times 3
Answer:
Clare Questions:
Cousin: 10, Clare: 15
Cousin: 2, Clare: 7
Cousin: x, Clare: x + 5
Cousin: 7, Clare: 12
Diego Questions:
Han: 6, Diego: 18
Han: can't tell if it is a 0 or n, Diego: 0 or 3n, respectively
Step-by-step explanation:
Since Clare is older than her cousin by 5, they will both age at the same rate, thus she will always be 5 years older.
example: if her cousin is 10, Clare will be 10 + 5 years older, therefore being 15.
Since DIego has 3 times as many books than Hans, it multiplies by 3.
example: if Han has 6 books, multiply 6 by 3 and you get Diegos amount, 18.
Identify the explicit function for the sequence in the table.
Answer:C
Step-by-step explanation: substitute n=3 for all equations and see which equation accurately correlates to the graph for when x=3. When you do this you see that only option C is the correct equation
Answer:
C). [tex]a(n) = 7 + (n - 1) * 12[/tex]
Step-by-step explanation:
Plugin values into the equation.
3x-2=16 pls help!!!!!!!
Answer:
x = 6
Step-by-step explanation:
3x - 2 = 16
3x = 16 + 2
3x = 18
x = 18/3
x = 6
Answer:
x=6
Step-by-step explanation:
3x-2=16
+2 +2
3x = 18
÷3 ÷3
x=6
which properties do equilateral triangles and isosceles triangles have in common? A: 0 sides of equal length. B: 2 sides of equal lengths. C: 3 sides of equal length. D: 3 equal angles. Multiple choice
Answer:
2 sides of equal length, 3 sides of equal length
Step-by-step explanation:
your welcome✌
The property which equilateral and isosceles triangle have in common is 2 sides of equal length
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the triangle be represented as ΔABC
Now , A triangle with two sides of equal length is an isosceles triangle.
Both equilateral triangles and isosceles triangles have at least 2 sides of equal length, but only equilateral triangles have all three sides of equal length.
Hence , the triangles have at least 2 sides of equal lengths
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Please I need help in this question, Best answer gets BRAINLIEST
Answer:
1 - a/variable
2 - d/statistic
3 - b/population
4 - c/data
5 - e/parameter
6 - f/sample
I did comment asking if the two you'd already selected were definitely correct, but no answer was given, so I apologise if this is wrong. This is what I would put.
What is the solution to the system of equations graphed below?
Answer: C. (1, 4)
Step-by-step explanation:
The point where the two lines meet or intersect is the solution to the system of equations graphed. And in this case, the lines intersect at (1, 4).
Please help with this
Answer:
5/2
Step-by-step explanation:
We take the ratio of a side of ABC over the same side on DEF
AB/ DE
35/14
Divide top and bottom by 7
5/2
You want to design a survey to determine how much money people are willing to spend
on concert tickets. Which of the following methods would be most practical and have
the least bias?
Choose 4 neighborhoods at random and poll every home in those
neighborhoods.
Poll 10% of the homes in the area chosen at random.
Poll the first 100 people who enter the mall.
Poll everyone in the area.
Answer:
The correct option is;
Choosing 4 neighborhoods at random and poll every home in those neighborhoods
Step-by-step explanation:
Given that the survey relate to how much money people are willing to spend on on concert tickets with the goal of being practical and unbiased, we have;
Required sampling = Random Sampling
The preferable type of random sampling is either;
1) Simple random sampling
Sampling a given percentage of the homes in the area randomly
2) Clustered random sampling
Completely polling entire population of randomly selected area
Given the practicability of sampling concert goers, since people may have different interests, a better representative sample will be to perform the clustered random sampling approach by choosing 4 neighborhoods at random and poll every home in those neighborhoods.
Select the function that represents a parabola with vertex at (2,1) and y-intercept (0,3).
I think its ƒ(x) = 1∕2(x – 2)2 + 1
The function that represents a parabola with vertex at (2,1) and y-intercept (0,3) is f(x) = - x² + 4x - 3.
What is general equations of parabola?
The general equation of a parabola is given by
⇒ y = a(x – h)² + k
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.
According to the question,
⇒ y = a(x – h)² + k
⇒ (h,k) = (2,1)
⇒ y = a(x – 2)² + 1
T find the value of a,
⇒ - 3 = 4a + 1
⇒ a =-1
⇒ y = -1(x – 2)² + 1
⇒ y = -(x² + 4 - 4x) + 1
⇒ y = -x² + 4x - 3
Hence the required function is y = -x² + 4x - 3.
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