The inequality which represents the statement given in the task content; x is greater than -2 and less than 8 is; -2 < x < 8.
Which inequality correctly represents the statement as given in the task content?It follows from the task content that the inequality which represents the statement given in the task content is to be determined.
First each section of the statement must be highlighted as follows;
x is greater than -2 can be written as;
x > -2 or -2 < x
x is less than 8 can be written as:
x < 8.
Therefore, the compound inequality which represents the word phrase is; -2 < x < 8.
Ultimately, The inequality which represents the statement given in the task content; x is greater than -2 and less than 8 is; -2 < x < 8.
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Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function
gives a line with a slope of 0.11. See the figure below.
The monthly cost for 34 minutes of calls is $12.62. What is the monthly cost for 25 minutes of calls?
Answer:
11.63
Step-by-step explanation:
Since the equation is linear you can find the value by multiplying the difference of the minutes by 0.11, and subtract it from the cost of the initial plan.
34-25=9
9(0.11)= 0.99
12.62-0.99= 11.63
Help please!
1) rotation 90° counterclockwise about the
origin
Determine the relationship between set A and set B if A intersects B=B.
B ∪ A is the relationship between Set A and Set B.
We have two sets A and B.
We have to determine the relationship between set A and set B if A intersects B = B.
What is a Set?A set is a collection of elements, numbers or objects, represented within the curly brackets { }.
According to the question -
A ∩ B = B.
This means that the intersection of set A and set B is equal to B. This means common elements in both the set are same as the elements of set B. This can only happen when -
B ∪ A → B is the subset of A.
Hence, B ∪ A is the relationship between Set A and Set B.
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I ONLY NEED 15 and 16!! PLEASE LABEL WHICH ONE YOU DO:)) TYSM!!
Answer:
15. x-intercept = (-4, 0)
y-intercept = (0, 2.5)
16. A. An infinite number of solutions.
Step-by-step explanation:
Question 15The x-intercepts are where the line crosses the x-axis, i.e. when y = 0.
The y-intercepts are where the line crosses the y-axis, i.e. when x = 0.
Given equation:
[tex]5x-8y=-20[/tex]
Substitute y = 0 into the given equation to find the x-intercept:
[tex]\begin{aligned}y=0 \implies 5x-8(0) &=-20\\5x & = -20\\x & = \dfrac{-20}{5}\\x & = -4\end{aligned}[/tex]
Therefore, the x-intercept is (-4, 0).
Substitute x = 0 into the given equation to find the y-intercept:
[tex]\begin{aligned}x=0 \implies 5(0)-8y &=-20\\-8y & = -20\\y & = \dfrac{-20}{-8}\\y & =2.5\end{aligned}[/tex]
Therefore, the y-intercept is (0, 2.5).
Question 16Given system of equations:
[tex]\begin{cases}3x-2y=14\\6x=4y+28\end{cases}[/tex]
Multiply the first equation by 2:
[tex]\implies 2(3x-2y)=2(14)[/tex]
[tex]\implies 6x-4y=28[/tex]
Add 4y to both sides:
[tex]\implies 6x-4y+4y=4y+28[/tex]
[tex]\implies 6x=4y+28[/tex]
Therefore, the two equations are the same.
A system of linear equations has an infinite number of solutions when the graphs are the exact same line.
The graph of the absolute value parent function, f(x) = |xl, is stretched
horizontally by a factor of 3 to create the graph of g(x). What function is g(x)
Answer:
[tex]y = l \frac{1}{3} xl \\ [/tex]
find the domain y=1-7x/8-|3x-15|
En cierta ciudad, el costo del servicio de agua potable es de $ 62.44, y por cada m³ de consumo se paga
$ 6.35, como se muestra en la tabla.
OC) T=7
OD) T= 6.35 +
¿Con cuál expresión algebraica se calcula correctamente el total a pagar (7) a partir del consumo (CJ?
OA) T=6.35 + 62.44C
OB) T-6.35C+ 62.44
C
6.35+62.44
C
Consumo en m³ (C)
C
62.44
0
1
3
5
Total a pagar
en pesos (7)
$62.44
$68.79
$81.49
$94.19
In a certain city, if the cost of availing drinking water service is $62.44, and we have to pay an additional $6.35 for every m³ of water consumed, then the algebraic expression that describes the total to be paid (T) on a consumption of (C) m³ of water will be [T = (6.35C + 62.44)].
As per the question statement, in a certain city, the cost of availing drinking water service is $62.44, and we have to pay an additional $6.35 for every m³ of water consumed.
We are required to determine an algebraic expression that can describe the total amount to be paid (T) for a consumption of (C) m³ of drinking water.
Here, if we suppose that 1 m³ of drinking water is consumed, then total amount to be paid = [tex][(6.35*1)+62.44][/tex]
Similarly, if we suppose that 2 m³ of drinking water is consumed, then total amount to be paid = [tex][(6.35*2)+62.44][/tex]
Thus, on consumption of "C" m³ of drinking water is consumed, total amount to be paid [tex][T=(6.35*C)+62.44][/tex]
[tex]or, [T=(6.35C+62.44)][/tex].
Algebraic Expressions: These are mathematical statements which consists of constant integers, variables and arithmetic operations between them.To learn more about Algebraic Expressions, click on the link below.
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Stephen has logged 220 minutes of game play today. His dashboard says that today's game time represents 11% of his game
play for the week. How many minutes has he played this week? List your answer as a whole number.
According to the percentage, Stephen played this week is 24.2 minutes.
According to the statement
We have to find that the number of minutes has he played this week.
So, For this purpose, we know that the
A percentage is a number or ratio expressed as a fraction of 100.
From the given information:
Stephen has logged 220 minutes of game play today. His dashboard says that today's game time represents 11% of his game play for the week.
Then
Time of logged of game play = 220 minutes
Today's game time = 11% of his game play
Then
The minutes he played game in a week = 11% of 220 minutes
The minutes he played game in a week = 11/100*220
The minutes he played game in a week = 0.11*220
The minutes he played game in a week = 24.2 minutes.
So, According to the percentage, Stephen played this week is 24.2 minutes.
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Two numbers, x and y, are related as described in this statement:
x to the power of 3 is equal to y to the power of 5.
Which equation is equivalent to the statement?
Answer:
Step-by-step explanation:
his statement:
x to the power of 3 is equal to y to the power of 5.
NEED HELP ASAP DUE TODAY 10 POINTSSSS
Answer the following question for the expression.
5x - 3y + 7z + 1.
A) How many terms does this expression have?
_____________________________________
B) What is the constant of this expression?
_____________________________________
C) What is the second term in the expression?
_____________________________________
D) Whats the coefficient of the third term?
_____________________________________
A. 4 terms
B. 1
C. -3y
D. 7
hope you get a good grade
Write the equation of the horizontal line and the vertical line that passes through point (13,−13).
The equation of the horizontal line through point (13,−13) is
.
Question 2
The equation of the vertical line through point (13,−13) is
Equation of the horizontal line through the given point is: y = -13.
Equation of the vertical line through the given point is: x = 13.
What is the Equation of a Horizontal Line and a Vertical Line?The equation of a vertical line is expressed as, x = b, where b is the constant representing the point where the line intercepts the x-axis. The line is parallel to the y-axis.
On the other hand, the horizontal line intersects the y-axis at a point, b, and it is parallel to the x-axis. It is written as y = b.
Given the point, (13, -13), we have the following:
Equation of the horizontal line through the given point is: y = -13.
Equation of the vertical line through the given point is: x = 13.
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What is the area of the circle? (Pic below)
The area of the circle is 254. 502 square units
How to determine the area
The formula for area of a circle is expressed as;
Area = πr²
Where;
r is the radius of a circle
Note that the radius of a circle with an inscribed triangle is expressed as;
Radius = ABC/4A
Where;
A, B and C are the sides of the inscribed triangle
Radius = 6 × 6 × 6 / 4(6)
Radius = 216/ 24
Radius = 9 units
Now, substitute the value of the radius into the formula
Area = 3. 142 × (9)²
Area = 3. 142 × 81
Area = 254. 502 square units
Thus, the area of the circle is 254. 502 square units
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10 is co "meghan and hopsida do their math homework together. When they first find 5 - (-8), meghan in they gets -13 but hopsida gets 13. what error led to the incorrect difference" Hopsida is correct.
The error led to the incorrect difference is-
meghan and hopsida do their math homework together
To find,
5 - (-8)
meghan's answer = -13hospida's answer = 13 5 - (-8)=5+8=13meghan's answer was incorrect.
meghan put the neagative sign before 13 that's why there was difference in the answer.
Definition for difference in Math
distinction in math is the result of one of the essential mathematical operations, that is obtained by using subtracting numbers. It tells us by means of how lots a range of differs from the other.
How do you find difference in math?
a way to locate the difference among two Numbers. To discover the difference among numbers, subtract the number with the smallest value from the wide variety with the biggest cost. The fabricated from this sum is the distinction between the 2 numbers. consequently the distinction between forty five and one hundred is fifty five.
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Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0
Answer:
Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0
Step-by-step explanation:
Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0
2 A square has sides of length (x + 2) cm. A right-angled isosceles triangle has its two equal sides of length (2x + 1) cm. The area of the square is equal to the area of the triangle. (x + 2) cm (2r + 1) cm Diagram NOT accurately drawn (2r + 1)cm a) Write down an equation in .x. b) Show that your equation simplifies to 2x² - 4x - 7 = 0
Answer:
2x^2-4x-7=0 according to factorization rule we must have to multiply first and last 2×7 =18 May me this question is mistake
Jennifer paid $13.44 for a pack of 12 pairs of sport socks. What was the price of a pair of sport
socks?
$
Box 1: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
Points possible: 1
This is attempt 1 of 3.
Submit Jump to Answer
License
Answer:
1.12
Step-by-step explanation:
Since the whole price is 13.44$ and the whole number of whole pairs is 12 you can get the answer by dividing them so it will be 13.44÷12 so it will be 1.12
Conner has 4 game card packets and each has 3 cards. If he gives 3 to
Kennedy, what fraction is left?
3/4 1/4 1/2 or 5/4
Alguien sabe resolver este problema de números complejos??, Urge pliss
3cis(5π/6)
El número complejo 3 · cis(5π / 6) en forma rectangular es - 3√3 / 2 + i 3 / 2.
¿Cómo cambiar la notación compacta de un número complejo a la notación rectangular?
El sistema de notación conocido como "cis" resume los números complejos en función de su magnitud y dirección sin necesidad de usar funciones trascendentes. En esta pregunta debemos transformar un número complejo en notación cis a notación rectangular, cuya formula es mostrada abajo:
r · cis θ = r · cos θ + i r · sin θ
Donde:
r - Magnitud del número complejo.θ - Dirección del número complejo.En consecuencia, tenemos que el número complejo en notación cis es igual a:
z = 3 · cos (5π / 6) + i 3 · sin (5π / 6)
z = - 3√3 / 2 + i 3 / 2
El número complejo 3 · cis(5π / 6) en forma rectangular es - 3√3 / 2 + i 3 / 2.
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.Tim weighs twice as much as Jim. Jim weighs 50 pounds less than
George. Rick weighs 10 pounds more than George. If Rick weighs 200 pounds, how
much does Tim weigh?
Answer: Tim weighs 280 pounds
Step-by-step explanation:
Rick weighs 200 pounds
George weighs (200-10)=190 pounds
Jim weighs (190-50)=140 pounds
Tim weighs 140*2=280 pounds
Please help describe each transformation in order 1-3
Answer:
1-2 is a reflection, 2-3 is a rotation.
2 and 3 are touching
Step-by-step explanation:
Write 7 thousand, 80 tens, 9 ones in standard form.
Answer:
7089
Step-by-step explanation: Hope it helped have a good day!
add polynominals (3-4 x + 8x^2) + (-6+2x-5x^2)
Answer:
Step-by-step explanation:
The sum of the polynomials in the equation is 3x² - 2x - 3
Step-by-step explanation:
(3 - 4x + 8x²) + (-6 + 2x - 5x²)
Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.
3 - 4x + 8x² - 6 + 2x - 5x²
Combine like terms.
- 3 - 2x + 3x²
Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.
3x² - 2x - 3
[tex] \bf \implies \: {3x}^{2} - 2x - 3 \\[/tex]
Step-by-step explanation:[tex] \bf \longrightarrow(3 - 4x + {8x}^{2}) + ( - 6 + 2x - {5x}^{2}) \\ \\ \bf \longrightarrow3 + - 4x + {8x}^{2} + - 6 + 2x + - {5x}^{2} \\ \\ \bf \longrightarrow( {8x}^{2} + - {5x}^{2} ) + ( - 4x + 2x) + (3 + - 6) \\ \\ \bf \longrightarrow {3x}^{2} + - 2x + - 3 \\ \\ \bf \longrightarrow \boxed{{3x}^{2} - 2x - 3} \: ans.[/tex]
) A color printer prints20 pages in 19 minutes. How many pages does it print per minute?
The product of Chrissy's height and 3 is 57.
Use the variable c to represent Chrissy's height.
What is the equation of a line that passes through the point (2,−2) and is perpendicular to y=x/4−3 ?
Answer: y = -4x + 6
Step-by-step explanation:
supposing m1 is the gradient of the line for whose equation we want to find
m1 * m2 =-1 for perpendicular lines
if m1 = 1/4
meaning m2 = -4
m2= -4 at point (2,-2)
we can get value of constant c
y = mx =c
-2 = (-4)(2) +c
c = 6
substituting c and m2 in gen eqn of line : y =mx +c
y = -4x + 6
Find the volume of the Figure. Round your answer to the nearest tenth.CYLINDER
22 ft diameter and 5ft in height
Volume: ?ft3
Answer:
I don't know if it is correct
Step-by-step explanation:
v=πrh
v=22/7×11×5
v=22/7×55
v=172.857
v=17.
What is the solution to the system of equations graphed below?
Answer: D
(1,5)
Step-by-step explanation:
A human gene carries a certain disease from the mother to the child with a probability rate of 57%. That is, there is a 57% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another. Find the probability that all three of the children get the disease from their mother. Round to the nearest thousandth.
3/57×100
1/19×100
100/19
3.263157.
This is all that I can do to help you
Given the relationship shown in the table, what is f(6)?
Step-by-step explanation:
f(x) , when x = 0 → f(x) = 6
So, f(0) = 6
f(x) , when x = 5 → f(x) = 7
So, f(5) = 7
f(x) , when x = 6 → f(x) = -3
So, f(6) = -3
f(x) , when x = 8 → f(x) = 10
So, f(8) = 10
The answer is A.
46 + 81 rounds to LOOK AT THE PIC HELPZ?
Answer:
46+81 round to 50+80=130 46+81=127
Step-by-step explanation:
Because 46-50
81-80
46+81=127
