Answers
Answer: [tex]3 \le x \le 5[/tex]
x is any real number between 3 and 5, including both endpoints
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Explanation:
If A < B, then 1/A > 1/B. Applying the reciprocal flips the inequality sign.
For example, if 2 < 3, then 1/2 > 1/3. It might help to look at the decimal representations
1/2 = 0.500
1/3 = 0.333
We see that 1/2 is larger.
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The inequality [tex]x < y < z[/tex] is the same as [tex]x < y \ \text{ and } \ y < z[/tex].
We've broken the single inequality into two smaller parts.
The given inequality breaks down into [tex]\frac{1}{6} \le \frac{1}{x+1}[/tex] and [tex]\frac{1}{x+1} \le \frac{1}{4}[/tex]
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Let's solve the first inequality for x
[tex]\frac{1}{6} \le \frac{1}{x+1}\\\\6 \ge x+1\\\\6-1 \ge x\\\\5 \ge x\\\\x \le 5[/tex]
Repeat for the other inequality as well
[tex]\frac{1}{x+1} \le \frac{1}{4}\\\\x+1 \ge 4\\\\x \ge 4-1\\\\x \ge 3\\\\[/tex]
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We found that [tex]x \ge 3 \ \text{ and } \ x \le 5[/tex]
This is the same as [tex]3 \le x \ \text{ and } \ x \le 5[/tex] which combines to [tex]3 \le x \le 5[/tex]
Related Questions
Thomas spent $3.30 for 3 ice cream cones. Dan spent 2.50 for 2 ice cream cones. Who spent less per ice cream cone
Answers
Answer:
Thomas spent less per ice cream cone.
Step-by-step explanation:
Thomas spent $1.10 per ice cream cone.
Dan spent $1.25 per ice cream cone.
evaluate....
shafheahyfbejik5ewhdsa
Answers
Answer:
Step-by-step explanation:
Option B is the correct answer
Given h(x) = -x + 4, solve for a when h(x) = 0.
Answers
0=-x+4
-4=-x
divide by negative
x=4
solve y=-2/5x+1/10 as a standard form
Answers
Answer:
The answer is 4x+10y=1 :)
Step-by-step explanation:
Write equation in slope intercept form (x=mx+b). Find the slope (x) and the y-intercept (b) of the line
Answers
Answer:
slope=.5
intercept= 1
-3x-9=27x-6(5x-9) plz help
Answers
Answer:
No Solution
Step-by-step explanation:
Use the distributive property, to take out the contents from the parentheses
-6 * 5x = -30x
-6 * -9 = 54
-30x + 54
27x -30x + 54
Combine the terms that have the same variable
27x + -30x = -3x
-3x + 54
-3x - 9 = -3x + 54
Combine terms that have the same variable
-3x + 3x = 0
-9 = 54
-9 does not equal 54, therefore there is no solution
What is 13.76 + 72.87?
Answers
Answer: 86.63
Step-by-step explanation:
Evaluate the function.
f(x) = -3x2 – 20
Find f(-9)
Answers
Answer:
-3(-9)-20=7
Step-by-step explanation:
A store sells wine glasses in boxed sets. Each box contains either 4 or 6 matching glasses. The store has a total of
78 boxes, which contain a total of 384 wine glasses. How many boxes contain 6 wine glasses?
Answers
Answer:
36 boxes
Step-by-step explanation:
36 boxes time 6 glasses = 216 glasses
42 boxes time 4 glasses = 168 glasses
all together that 78 boxes and 384 glasses
The straight line distance between two cities A and B is 223 km. The straight line distance between cities A and C is 152 km. The straight line distance between cities B and C is 285 km. Find the measure of the angle when standing at city C between the lines of sight to cities A and B.
Answers
Answer:
Angle between the lines of sight to A and B = 50.94°
Step-by-step explanation:
Distance between the cities A and B = 223 km
Distance between the cities B and C = 285 km
Distance between the cities A and C = 152 km
By applying cosine rule in triangle ABC,
AB² = AC² + BC² - 2(AC)(BC)CosC
(223)² = (152)² + (285)² - 2(152)(285)CosC
49729 = 23104 + 81225 - (86640)CosC
CosC = [tex]\frac{54600}{86640}[/tex]
CosC = 0.630194
C = [tex]\text{Cos}^{-1}(0.630194)[/tex]
C = 50.94°
Therefore, angle between the lines of sight to cities A and B is 50.94°
what is the value of expression below when x=2? 2x+6
Answers
Answer:
10
Step-by-step explanation:
2(2) + 6
4 + 6
10
Answer:
10
Step-by-step explanation:
What is the solution of 8=3/4a+12-a+4
Answers
Answer:
0
Step-by-step explanation:
Which of these is defined as a part of a line that is bounded by two end points?
ray
angle
point
line segment
Answers
Answer: Line Segment.
Step-by-step explanation:
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry, a line segment is often denoted using a line above the symbols for the two endpoints (such as ĀB).
What is the solution to the equation 13.7y = 6.2y + 30
Answers
Answer:
y=4
Step-by-step explanation:
Answer:
its y=4 credit goes to the chap above
Step-by-step explanation:
Omg this is hard ! Please don’t fail me guys
Answers
Answer:
uhhh your on your own man
Step-by-step explanation:
Answer:
1. 40
2. 50
3. 90
4. 140
Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.
Write an equation to represent the relationship between the dollar amount Kiran is spending and the number of games, x, and the number of rides, y, he could play/ride. (Note: He is spending all of his money on some unknown combination of games and rides)
Answers
Answer:
0.25x + y = 12
Step-by-step explanation:
I am hoping that these steps will be self-explanatory, as I am not quite sure how to explain writing an equation:
0.25x + y = 12
Hope this helps :)
Write the converse of the following statement.
If two lines have equal slopes, then the lines are parallel.
Answers
Answer:
If two lines are parallel, then they have equal slopes.
Step-by-step explanation:
Conditional:
If two lines have equal slopes, then the lines are parallel.
Converse: switch the hypothesis and the conclusion.
Converse:
If two lines are parallel, then they have equal slopes.
10. A snowstorm dumped 18 inches of snow in a 12-hour period. How many inches were falling per hour?
Answers
Answer:
1.5 inches I think
Step-by-step explanation:
18/12=1.5
equation of a line into slope-intercept form, simplifying all
fractions.
12x + 3y = -18
Answers
Answer:
y = -4x - 6
Step-by-step explanation:
12x + 3y = -18
Solve for y.
3y = -12x - 18
y = -12/3 x - 18/3
y = -4x - 6
A line with a slope of -2 passes through the point (1, -17). What is its equation in
slope-intercept form?
Answers
answer: y = -2x - 15
Solve |P| > 3
{-3, 3}
{P|-3 3}
Answers
Point :
[tex] |x| > a[/tex]
[tex]x > a \: \: \: and \: \: \: x < - a[/tex]
_________________________________
Thus ;
[tex]P > 3 \: \: \: \: \: and \: \: \: \: \: P < - 3[/tex]
Done.....♥️♥️♥️♥️♥️
Convert 132 pounds to kilograms. Use 1 kg = 2.2 lb.
Answers
1kg = 2.2lb
1lb = 0.454kg
132lb = 0.454*132
132lb = approx 60kg
-4.6+5.3 help please thank you are the best
Answers
Answer:
0.7
Step-by-step explanation:
Answer:0.7
Step-by-step explanation: you can use a Calculator to help
Helen had $330 in her savings account when Vince opened a savings account with zero dollars.• Helen deposited $30 into her account each week for x weeks.• Vince deposited $50 into his account each week for x weeks.• The accounts did not earn interest.Which inequality represents this situation when the amount of money in Helen’s account wasgreater than the amount of money in Vince’s account?
Answers
Answer:
Step-by-step explanation:
C
URGENT URGENT URGENT URGENT URGENT
The measure of two angles are (2x + 12)o and (5x − 9)o.
What is the value of x if these angles are congruent?
please dont answer if you dont know the answer
Answers
Answer:
x=7
Step-by-step explanation:
To set up for this answer, we need to set it up as an equation: 2x+12=5x-9.
get the xs on one side and the whole numbers on the other.
that leaves you with 21=3x.
divide by 3 on both sides to get the answer of x=7
I think the value of x for these two angles is 7
What is the difference in elevation between -28 and 49
Answers
Answer:
87 units
Step-by-step explanation:
Which rule describes the composition of transformations that maps ABC to A"B"C"?
O T-6.-2°rx-axis(x, y)
O rx-axis° T-6 -2(x, )
O T-6.-2°Ro, 90°(x,y)
O RO, 90° T -6, -2(x, y)
Answers
Answer:
The rule describes the composition of transformations that maps Δ ABC to Δ A"B"C" is rx-axis, T(x - 6, y - 2) ⇒ B
Step-by-step explanation:
Let us revise some rules of transformation
If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)If The point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)Look at the graph and list the vertice of each triangle
∵ A = (5, -5) and A' = (5, 5)
∵ B = (1, -2) and B' = (1, 2)
∵ C = (1, -5) and C' = (1, 5)
→ The signs of y-coordinates of all vertices of ΔABC are opposite
in ΔA'B'C'
∴ Δ ABC is reflected across the x-axis
∴ The rule is rx-axis (x, y) → (x, -y)
∵ A' = (5, 5) and A" = (-1, 3)
∵ -1 - 5 = -6 and 3 - 5 = -2
∵ B' = (1, 2) and B" = (-5, 0)
∵ -5 -1 = -6 and 0 - 2 = -2
∵ C' = (1, 5) and C" = (-5,3)
∵ -5 - 1 = -6 and 3 - 5 = -2
→ That means every x-coordinate in Δ A'B'C' added by -6 and every
y-coordinate add by -2
∴ Δ A'B'C' is translated 6 units to the left and 2 units down
∴ The rule is T (x, y) → (x - 6, y - 2)
The rule describes the composition of transformations that maps Δ ABC to Δ A"B"C" is rx-axis, T(x - 6, y - 2)
Transformation involves changing the position of a shape.
The transformation rule is (b) rx-axis° T-6 -2(x, y
First, triangle ABC is rotated across the x-axis.
The rule of this transformation is represented as: rx
Next, the resulting shape (i.e. triangle A'B'C') is translated 6 units left and 2 units down.
Using the coordinates of A as a guide, we have:
[tex]\mathbf{A = (5,-5)}[/tex]
Apply the first transformation: Rotate across the x-axis
[tex]\mathbf{A' = (5,5)}[/tex]
Apply the second transformation: Translate 6 units left, and 2 units down
[tex]\mathbf{A" = (5 - 6,5-2)}[/tex]
[tex]\mathbf{A" = (- 1,3)}[/tex]
Hence, the transformation rule is (b)
Read more about transformation at:
https://brainly.com/question/11707700
A side of the triangle below has been extended to form an exterior angle of 164º. Find the value of x.
Answers
Answer:
x=50
Step-by-step explanation:
The value of the angle of the triangle 'x' will be 111°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The sum of the two interior angles of the triangle is equal to the exterior angle of the triangle.
x + 53° = 164°
Simplify the equation, then we have
x + 53° = 164°
x = 164° - 53°
x = 111°
The value of the angle of the triangle 'x' will be 111°.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Solve for x. −4≤11−3x
Answers
Answer: x ≤ 5
Explanation: −4 ≤ 11 − 3x = x ≤ 5
Answer:
The answer is x ≤ 5.
Step-by-step explanation:
Which table shows y as a function of x
Answers
X: 1 3 7 12
Y: 4 4 4 4
Why? Because X doesn’t have the same number repeating.
