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]
Lorie ordered a shed to hold her gardening supplies. The shed had a length of 10.25 ft, a width of 14 ft, and a height of seven and one fifth ft.
Determine the volume, V, using the formula V = lwh.
31.45 cubic ft
103.32 cubic ft
983.2 cubic ft
1,033.2 cubic ft
The volume of the shed is 1033.2 cubic feet.
What is volume?Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.
Given:
Lorie ordered a shed to hold her gardening supplies.
The shed had a length of 10.25 ft, a width of 14 ft, and a height of seven and one fifth ft.
l = 10.25 feet,
w = 14 feet
h = [tex]7\frac{1}{5}[/tex] = 7.2 feet
And we have the formula to calculate volume,
V = lwh
Substituting all the values,
V = 10.25 x 14 x 7.2
V = 1033.2 cubic feet.
Therefore, the volume is 1033.2 cubic feet.
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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
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.
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.
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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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
The sum of two numbers is 88. If one number is 4 more than half the other number, determine the two numbers by setting up a linear equation.
a: 44
b: 56
c: 61.3
d: 126
e: 138
f: 176
Answer:
b: 56
Step-by-step explanation:
x + y = 88
x is 4 more than half the other number.
half of y is 1/2y
4 more than that is 1/2y + 4
substitute
1/2y + 4 + y = 88
solve for y
3/2y = 84
y = 168 / 3 = 56
solve for x
x = 88 - 56 = 32
not sure where you would answer 32 from what's given :)
.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
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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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
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
Write 7 thousand, 80 tens, 9 ones in standard form.
Answer:
7089
Step-by-step explanation: Hope it helped have a good day!
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
please help
please hury
Answer:
(2,4)
Step-by-step explanation:
The range is the second number of each set. Take all of those and you get 2,4,2,4. You only need one of each number so you end up with (2,4).
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.
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:
What is the solution to the system of equations graphed below?
Answer: D
(1,5)
Step-by-step explanation:
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.
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]
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
The product of Chrissy's height and 3 is 57.
Use the variable c to represent Chrissy's height.
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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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
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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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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A hawk was 2 feet above the surface of the water. The hawk then flew down 5 feet to catch a fish. How many feet
below the surface of the water was the hawk?
Answer:
3 feet below the surface
Step-by-step explanation:
2 - 5 = -3
Help please!
1) rotation 90° counterclockwise about the
origin
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
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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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
