Answers
Answer:
2.8 < x < 5.8
Step-by-step explanation:
We must apply the Triangle Inequality Theorem which states that for any triangle with sides a, b, and c:
a + b > c
b + c > a
c + a > b
Here, let's arbitrarily denote a as 4.1, b as 1.3, and c as x. So, let's plug these values into the 3 inequalities listed above:
a + b > c ⇒ 4.1 + 1.3 > x ⇒ 5.8 > x
b + c > a ⇒ 1.3 + x > 4.1 ⇒ x > 2.8
c + a > b ⇒ x + 4.1 > 1.3 ⇒ x > -2.8
Look at the last two: clearly if x is greater than 2.8 (from the second one), then it will definitely be greater than -2.8 (from the third), so we can just disregard the last inequality.
Thus, the range of possible sizes for x are:
2.8 < x < 5.8
~ an aesthetics lover
Answer:
There are two cases: either x is the largest value or 4.1 is the largest value.
First case: x is largest so that means x < 4.1 + 1.3 which becomes x < 5.8
Second case: 4.1 is largest so that means x + 1.3 > 4.1 which becomes x > 2.8
Answer is 2.8 < x < 5.8.
Related Questions
What is the quotient of 6/7 divided by 3/14
Answers
Answer:
6/7 ÷ 3/14
= 6/7 × 14/3
= 2/7 × 14 (we cancelled 3 with 6)
= 2×2 (we cancelled 7 with 14)
= 4
hope it helps
Step-by-step explanation:
Answer:
[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]
Step-by-step explanation:
Hope this helps you!! ( BTW this means / Divide ).
HELP ME PLEASE Match each function formula with the corresponding transformation of the parent function y = - (x + 2)2. 1. y = - (x + 4)2 Translated up by 2 units 2. y = - (x + 2)2 - 2 Translated left by 2 units 3. y = (x - 2)2 Reflected across the x-axis 4. y = 2 - (x + 2)2 Translated down by 2 units 5. y = -x2 Translated right by 2 units 6. y = (x + 2)2 Reflected across the x-axis and the y-axis
Answers
Reflected over x axis => y=3(-x)
Reflected over y axis => y=-(3x)
Translated down 2 => y=3x-2
Translated right 2 => y=3(x-2)
Translated up 1 => y=3x+1
Translated left 1 => y=3(x+1)
please mark me brainliest!
7. If the length of the side of a table is 3 more than twice its width, what is the expression
of its perimeter?
a. Draw an image and show all your work to demonstrate your thinking and
understanding of this problem.
b. If the perimeter is 30, what is the width of the table? Show your work
Answers
Answer:
Step-by-step explanation:
Width =w
Length = 2w + 3
Perimeter = 2*(length +width)
= 2*(2w +3 + w )
= 2*(3w + 3)
= 6w + 6
b) Perimeter = 30 units
6w + 6 = 30
Subtract 6 form both sides
6w = 30- 6
6w = 24
Divide both sides by 6
6w/6 = 24/6
w = 4
l = 2w + 3
= 2*4 + 3
= 8 + 3
= 11
Length = 11 units
Width = 4 units
helpppppppppp plsssssss
Answers
Hey there! :)
Answer:
a) Blue.
b) 1/2.
Step-by-step explanation:
Find the probabilities for each color:
Blue: 1/8
Yellow: 3/8
Green: 4/8 or 1/2
a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.
b) The probability of the spinner landing on green can be determined by:
# of green sections /total
Therefore:
4 / 8
Simplify the fraction:
4 / 8 = 1 / 2.
Answer:
a) Blue
b) 1/2
Step-by-step explanation:
a) The colors on the spinner are blue (B), green (G), and yellow (Y).
(B) = 1/8
(G) = 4/8
(Y) = 3/8
The spinner is least likely to land on the color blue.
b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.
4/8 can be simplified to 1/2.
Does this Graph represent a function? Why or why not?
Answers
Answer: Yes
Step-by-step explanation:
To solve this, imagine you have a vertical line. You can use a ruler or something straight. Move the ruler across the screen. Does the ruler intersect 2 points at once? If so, then it is not a function. If it only intersects one point, then it is a function.
Always remember: a function cannot have two x's with different y-values.
Hope that helped!
Find the range of {(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}.
Answers
Answer:
{-3, 5.9, -3, 8.3}
Step-by-step explanation:
The range is always the second number of all pairs
Multiply: (x + 3)(x – 4)
What is the middle term in the simplified product?
Ox
O-X
3x
O4x
Answers
Answer:
- x
Step-by-step explanation:
[tex](x + 3)(x - 4) \\ = x(x - 4) + 3(x - 4) \\ = {x}^{2} - 4x + 3x - 12 \\ = {x}^{2} - x - 12 \\ middle \: term \: = - x[/tex]
Which of the following best describes the slope of the line below?
Answers
Answer: Zero
Explanation: For any horizontal or flat line, the slope is always 0.
The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window? 2.5 x + 0.6 = 4.9 2.5 x minus 0.6 = 4.9 0.6 x + 2.5 = 4.9 0.6 x minus 2.5 = 4.9
Answers
answer
2.5 x-0.6=4.9
Step-by-step explanation:
The height of a window is 0.6 feet less than 2.5 times its width.
If the height of the window is 4.9 feet.
Substitute in [1] we have;
2.5x-0.6 = 4.9
Therefore, an equation can be used to determine x, the width of the window is, 2.5x-0.6 = 4.9
Answer:
Or B
Step-by-step explanation:
for those you look for letters only
The average annual salary of the employees of a company in the year 2005 was $70,000. It increased by the same factor each year and in 2006, the average annual salary was $82,000. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)? (1 point) f(x) = 70(1.17)x f(x) = 82(1.17)x f(x) = 70(2.2)x f(x) = 82(2.2)x
Answers
Answer:
question is too tough but it is very interesting
1 year = 365 days2 year = ? ( 70000 + 82000) we will add 2005 and 2006 salary because we have to find the total salaryx = 152000Answer:
i tink d
Step-by-step explanation:
Definition: A method of solving a system of equations in which you obtain opposites to cancel one of the variables and solve for the other variable.
Answers
Hope this helps:$
One-quarter of the Math Olympiad participants are two-thirds of the Genius Circle students. Eight Genius Circle students did not participate in the Olympiad. What is the total number of students who participated in the Math Olympiad?'
Answers
Then we have the equation:
2/3Y + 8 = Y
8 = 1/3Y
8 x 3 = Y
24=Y
Now that we know what is Y we can substitute: 2/3Y = 2/3 x 24 = 16
If 16 of the Genius Circle participants equal to 1/4 of the participants of the Math Olympiad which mean:
1/4 = 16
4/4 = 16 x 4
4/4 = 64
And so the answer for the total number of the participant in the Math Olympiad is 64.
Answer:
64
Step-by-step explanation:
This question is actually not hard just requires careful calculations.
So we know that 1/4 of MO (Math Olympiad) = 2/3 of GC (Genius Circle)
It also gives that 8 GC Members did not go to MO
So using these statements, we can find that
a. 1/3 of GC = 8 members --> and
b. 2/3 of GC = 16 which makes -->
c. 1/4 of MO = 16
Using these statements we can simply calculate 16 x 4 = 4/4 = 1
1 = Total amt. of participants in the MO => 16(4)
64
Hope this helps!
Can someone help me please
Answers
Answer:
A secant is a line that passes through the circle.
A tangent is a line that touches the circumference of the circle.
A chord is a line segment inside the circle.
A radius is a line segment inside the circle from the center to the circumference.
A diameter is a line segment inside the circle from one point of the circumference to another point of the circumference that includes the center.
Step-by-step explanation:
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answers
Answer:
33.33 %
Step-by-step explanation:
Difference:
=> 27 - 18 = 9
%age Increase:
=> [tex]\frac{9}{27} * 100 %[/tex]
=> 33.33 %
Answer:
33.3 %
Step-by-step explanation:
PLEASE HELP!!!! 5. POINTS EACH.
Answers
Answer:
question 3: 1/3 question 4: 5/7 question 5: 2/3
Answer:
1/3
5/7
2/3
Step-by-step explanation:
The numbers greater than 4 on a fair dice are 5 and 6.
2 numbers out of 6 or 2/6
2/6 = 1/3
Total parts = 7 + 12 + 18 + 5 = 42
12 are orange marbles.
42 - 12 = 30
30 marbles are red, yellow, and purple.
30/42 = 15/21 = 5/7
The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.
4 numbers out of 6 total numbers.
4/6 = 2/3
A study found that 9% of dog owners brush their dog’s teeth. Of 578 dog owners, about how many would be expected to brush their dog’s teeth? Explain. A. 50; 9% ≈ 10% and 578 should be rounded down to 500; 10% of 500 = 50 B. 60; 9% ≈ 10% and 578 ≈ 600; 10% of 600 = 60 C. 70; 9% ≈ 10% and 578 ≈ 700; 10% of 700 = 70 D. 100; 9% ≈ 10% and 578 should be rounded up to 1,000; 10% of 1,000 = 100
Answers
Answer:
A. 50
Step-by-step explanation:
Simply multiply 9% and 578 to get your answer:
578(0.09) = 52.02
13. Write the equation of a horizontal line that passes through the point (3, -3).
O x = -3
Ox= 3
O y = 3
O y = -3
Answers
Answer:
O y = -3
Step-by-step explanation:
The line is horizontal.
x = -3 and x = 3 are vertical lines, so they are incorrect.
The line passes through (3, -3).
(x , y)
Put y as -3.
y = 3
(-3) = 3
Line y = 3 is incorrect.
(-3) = -3
Line y = -3 is correct.
Answer:
O y = -3
Step-by-step explanation:
Equations beginning with 'x=' would form a vertical line, not a horizontal line.
The point (3,-3) would satisfy y = -3.
-3 = -3
O y = -3 should be the correct answer.
5n+6+(−7n) answer olz
Answers
Answer:
-2n + 6
Step-by-step explanation:
When we simplify the equation, we add like terms. 5n - 7n is 2n and 6 doesn't have anything to add/subtract to, so we have -2n + 6
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = square root of 3 Find: AC
Answers
Answer:
AC = 2.30
Step-by-step explanation:
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = [tex]\sqrt{3}[/tex].
Since CD ⊥ AB, thus CD divides AB into two equal parts.
From ΔACD, applying the Pythagoras theorem;
[tex]AC^{2}[/tex] = [tex]AD^{2}[/tex] + [tex]CD^{2}[/tex]
= [tex]1.5^{2}[/tex] + [tex](\sqrt{3}) ^{2}[/tex]
= 2.25 + 3
= 5.25
AC = [tex]\sqrt{5.25}[/tex]
= 2.2913
∴ AC = 2.30
A six-sided die is rolled twice. What is the probability that the result of both rolls are
a 1?
01/6
2/36
1/36
2/6
Answers
Answer:
1/36
Step-by-step explanation:
If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them
Hope this helps
Answer:
1/36.
Step-by-step explanation:
Each event of a die being rolled is an independent event, which means that each time you roll the die does not affect the next time you roll it.
The probability of getting a 1 on the first roll is going to be 1/6, since there is only one 1 on the 6-sided die.
The probability of getting a 1 on the second roll is also going to be 1/6, for the same reason.
So, if both rolls are going to be 1s, the probability that will happen is (1/6) times (1/6), which is 1/36.
Hope this helps!
Based on the graph of which statement is true?
A. The inverse of f exists.
B. The inverse of f does not exist.
Answers
Answer:
A
Step-by-step explanation:
Find the value of x that will make A||B.
5x + 9
A
B
6x-2
X =
[?]
Enter
Answers
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
Given
Parallel lines A and B
Required
Find x
For A and B to be parallel, then 5x + 9 and 6x - 2 are alternate interior angles
And alternate interior angles are always equal
This means that
[tex]5x + 9 = 6x - 2[/tex]
Collect like terms
[tex]5x - 6x = -2 -9[/tex]
[tex]-x = -11[/tex]
Multiply both sides by -1
[tex]-1 * -x = -11 * -1[/tex]
[tex]x = 11[/tex]
Answer:
X=11
Step-by-step explanation:
A crew of highway workers paved 1/4 mile in 1/6 hour. If they work at the same rate, how much will they pave in one hour?
Answers
Answer:
it would be 1/4 times 1/6
Step-by-step explanation:
Answer:1 2/4
Step-by-step explanation:
01:37:49
The function f(x) = −(x + 5)(x + 1) is shown.
On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 3, 4), and goes through (negative 1, 0).
What is the range of the function?
all real numbers less than or equal to 4
all real numbers less than or equal to −3
all real numbers greater than or equal to 4
all real numbers greater than or equal to −3
Answers
Answer:
all real numbers less than or equal to 4
which agrees with the first answer option listed
Step-by-step explanation:
The parabola opening down means that its two branches go on towards negative values with no limit. The maximum y-value that this parabola can reach is therefore the y-value of its vertex which is 4, given that the vertex coordinates are (3, 4).
Therefore, the Range of y-values can have any real number that is smaller than or equal to 4
Answer:
all real numbers less than or equal to 4
Step-by-step explanation:
The leading coefficient is negative, so the vertex is a maximum. The y-value of the vertex (4) is the upper limit of the range.
The range is all real numbers less than or equal to 4. (first choice)
Find the area of a rectangle whose side lengths are 4x² and 6x²– 3x.
A. 24x⁶– 12x²
B. 24x⁴ - 3x
C. 24x⁴ - 12x³
D. 20x³- 6x²
Answers
Answer:
c
Step-by-step explanation:
4x^2(6x^2-3x)
=24x^4-12x^3
Answer: C. 24x⁴ - 12x³
Step-by-step explanation:
The area of a rectangle is length × width.
4x² × (6x²– 3x) to answer this, we multiply 4x² for each term inside the parentheses.
4x² × 6x² = 24x⁴ (4 × 6 = 24 and x² × x² = x⁴)
4x² × -3x = -12x³ (4 × -3 = -12 and x² × x = x³)
So the answer is 24x⁴ - 12x³
Solve the compound inequality.
5 < 2x - 1<9
show your work solving the inequality
Answers
Answer:
x> 3 and x <5
OR
3 < x <5
Step-by-step explanation:
To solve the compound inequality, we will follow the steps below:
We will first break it into two inequalities.
That is;
5 < 2x - 1<9
5 < 2x - 1 AND 2x - 1<9
Then we will solve separately
5 < 2x - 1
add 1 to both-side of the equation
5 +1 < 2x - 1 +1
6 < 2x
Divide both-side of the inequality by 2
6 /2 < 2x/2
3 < x
x>3
we will now solve the other inequality
2x - 1<9
add 1 to both-side of the equation
2x - 1+1<9 +1
2x < 10
divide both-side of the inequality by 2
2x /2< 10/2
x < 5
Therefore x> 3 and x <5
or
3 < x <5
Answer:
[tex]x = (5 \: . \: 3)[/tex]
Step-by-step explanation:
To solve a compound inequality, seperate it into two inequalities:
[tex]2x - 1 > 5 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ x < 5[/tex]
Find the intersection:
[tex]x = (5 \: . \: 3)[/tex]
Please help ASAP!!!!! I will give extra 20 points please help i really want to go roller blading !!!! The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than its height. Complete an input/output table for at least three pairs of inputs and outputs. Make sure to use values that make sense within the context of this situation.
Answers
Answer:
See below,
Step-by-step explanation:
Input Output
B H Perimeter (2B + 2H)
3 1 8
5 3 16
14 12 52
I hope this helps.
Factor the expression completely.
8x2 - 18
Answers
Answer:
2 ( 2x-3) (2x+3)
Step-by-step explanation:
8x^2 - 18
Factor out a 2
2(4x^2 -9)
Inside the parentheses is the difference of squares
2 ((2x)^2 - 3^2)
We know the difference of squares is (a^2 -b^2) = (a-b)(a+b)
2 ( 2x-3) (2x+3)
What is the ratio of the area of Rectangle A to Rectangle B?
Answers
Answer:
2:3
Step-by-step explanation:
Area of rectangle A : 8x3 = 24
Area of rectangle B : 9x4 = 36
Area A : Area B = 24:36
Divide 24:36 by 12
= 2:3
The ratio of the area of Rectangle A to Rectangle B is 2:3.
What is the formula of Area of Rectangle?The area of rectangle for a rectangle of length L and width W is given by
A = L* W
It is measured in square units.
A rectangle is a polygon with four sides, the opposite sides of the polygon is parallel and equal.
The Length of Rectangle A is 3
The Width of the Rectangle A is 8
The area of the rectangle A is 3 * 8
Area of the rectangle A = 24 sq.unit.
The Length of Rectangle B is 4
The Width of the Rectangle B is 9
The area of the rectangle B is 4 * 9
Area of the rectangle A = 36 sq.unit.
The ratio of the area of the rectangles A and B is,
= 24 / 36
= 12/18
= 6/9
= 2/3
Ratio ( area of Rectangle A : Rectangle B ) = 2:3.
To know more about Area of Rectangle
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Each block on the grid is 1 unit by 1 unit. We wish to walk from A to B via 7 unit path but we have to stay on the grid. How many different paths can we take?
Answers
Answer:
The number of path we can take to walk from A to B via a 7 unit path while staying on the grid is 35 paths
Step-by-step explanation:
Given that we are to walk via a 7 unit path, we have;
Path to walk = Right or Left from start point A
Total number of rights and left to get to point B from A must be 7
3 of the turns have to be in the left direction while 4 of the turns are right
Therefore, in 7 turns we have 4 in the right direction and 3 in the left direction which gives;
Number of ways for the first turn = 7, the next turn has 6 ways after that 5 and so on so we have;
7 × 6 × 5 × 4 × 3 × 2 × 1 out of which four are in the right direction in 4 × 3 × 2 × 1 ways and 3 are in the left direction in 3 × 2 × 1 ways, which gives the number of ways as follows;
[tex]Number \, of \, ways = \dfrac{7\times 6\times 5\times 4\times 3\times 2\times 1}{4\times 3\times 2\times 1 \times 3\times 2\times 1 } =\dfrac{5040}{144} = 35[/tex]
Therefore, there are 35 paths we can take to walk from A to B via a 7 unit path while staying on the grid.