The value of the expression (x² + 3x + 2) × (2x² + 3x - 1) will be 2x⁴ + 9x³ - 12x² + 3x - 2.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (x² + 3x + 2) × (2x² + 3x + 1)
Simplify the equation, then we have
⇒ (x² + 3x + 2) × (2x² + 3x - 1)
⇒ x²(2x² + 3x - 1) + 3x(2x² + 3x - 1) + 2(2x² + 3x - 1)
⇒ 2x⁴ + 3x³ - x² + 6x³ + 9x² - 3x + 4x² + 6x - 2
⇒ 2x⁴ + 9x³ - 12x² + 3x - 2
The value of the expression (x² + 3x + 2) × (2x² + 3x - 1) will be 2x⁴ + 9x³ - 12x² + 3x - 2.
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Nick and Charlie were each trying to solve 3x+9=4x−5. Describe the first step they each make to the equation.
Drag and drop the correct response to the space
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The result of Nick's first step was −x + 9 = −5
1. What was Nick's first step?
The result of Charlie's first step was 9 = x - 5
2. What was Charlie's first step?
Nick's first step was to subtract 4x from both sides of the equation:
3x - 4x + 9 = 4x - 4x - 5
-x + 9 = - 5
Charlie's first step was to subtract 3x from both sides:
3x - 3x + 9 = 4x - 3x - 5
9 = x - 5
Nick's first step is to bring 4x left and Charlie's is to take 3x right-hand side.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
Given the equation,
3x+9=4x− 5
1. The result of Nick's first step was −x + 9 = −5
So,
3x - 4x + 9 = -5 ⇒ -x + 9 = -5
2. The result of Charlie's first step was 9 = x - 5
3x+9=4x−5
9 = 4x - 3x - 5 ⇒ 9 = x - 5
Hence "Nick's first step is to bring 4x left and Charlie's is to take 3x right-hand side".
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You are stenciling wooden boxes to sell at a fair. Stenciling takes 2 hours for a small box and 3 hours for a large box. Profit for a small box is $10 and $20 for a large box. If
you have no more than 30 hours available to stencil, but want at least 12 boxes to sell, how many of each size box should you sell to maximize your profit? (x = small boxes
and y large boxes)
Solve the problem to fill in the blanks below
The number of stenciled wooden boxes needed so as to maximize profit is 6 small boxes and 6 large boxes.
Let x represent small boxes and y represent large boxes.
Since you have no more than 30 hours available to stencil, hence:
2x + 3y ≤ 30
Also, at least 12 boxes are required to sell, hence:
x + y ≥ 12
The solution to this problem gives:
x = 6, y = 6
Hence 6 small boxes and 6 large boxes are needed.
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Answer:
Step-by-step explanation:
you will multiply the amount of small boxes which will be 12 x 8 = 96
Then the amount of small boxes which will be 17 x 3 = 51
You add them two tg 96+51 = 147
Solve for g
9+3.5g=11-0.5g
A cube has edge length 11 inches. Just type the number of the answer.
What is the volume?
cubic inches
What is the surface area?
square inches
Answer:
1331³
..
...................
Jill made a sauce in cooking class she use 1/2 cup of milk 2/3 cup of cream and 1/4 cup of water how much less water was used than milk and cream combined
Answer:
5/12
Step-by-step explanation:
2/3 +1/4 = 8/12 + 3/12= 11/12
11/12 - 1/2 = 11/12 - 6/12 = 5/12 less
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A restaurant investigated the correlation between prices and the number of customers. The linear model below represents this situation,
where x is the average meal price [in dollars), and y is the number of daily customers. Interpret the slope.
y = 437 – 18.5
OA. The average price per meal is $18.
B. The average number of daily customers is 18.
Oc. If the average meal price decreases by $1, the number of daily customers decreases by 18.
D. If the average meal price increases by $1, the number of daily customers decreases by 18.
I'm not in highschool but I did the math I think it's 18
Answer:
The Answer is D
Step-by-step explanation:
437-18.5=419.5
Can someone plss help me with this!!
QUESTION: How do we communicate to a computer and what to put on a web page?
Answer:
Using the Internet, computers connect and communicate with one another, primarily using the TCP/IP (Transmission Control Protocol / Internet Protocol). Think of TCP/IP as a book of rules, a step-by-step guide that each computer uses to know how to talk to another computer.
what is the final position on the number line "-3," 8, "-4"
Answer:
1
Step-by-step explanation:
just add the values,,,, i.e,
-3+8-4=1
The range of an ambulance service is a circular region bounded by the equation x^2 + y^2 = 400. A straight road within the service area is represented by y = 3x + 20. Find the length of the road that lies within the range of the ambulance service (round your answer to the nearest hundredth). Recall that the distance formula is [tex]d=\sqrt{x(x2-x1)^2+(y2-y1)^2[/tex]
The straight road crosses the boundaries of the range of the ambulance service at two points
The length of the road that lies within the range of the ambulance service is approximately 37.95
Reason:
The function that represents the ambulance circular service area is x² + y² = 400
The equation that represents the straight road, y = 3·x + 20
Required:
Length of the road that lies within the range of he ambulance
Solution:
The length of the road is given by the distance between the intersection
points of the road and the ambulance service region as follows;
At the intercepts, we have;
The x, and y-values of the line and the circle are equal, therefore, we have;
At the intercept, y = 3·x + 20, which gives;
x² + y² = 400
x² + (3·x + 20)² = 400
x² + 9·x² + 120·x + 400 = 400
10·x² + 120·x + 400 - 400 = 0
10·x² + 120·x = 0
x² + 12·x = 0
x² + 12·x = x·(x + 12) = 0
x = 0, or -12When x = 0, y = 3×0 + 20 = 20
When x = -12, y = 3×(-12) + 20 = -16
The intersection points of the line and the circle are;
A(0, 20), and B(-12, -16)The length of the segment AB, d, is given as follows;
d = [tex]\sqrt{((-12) - 0)^2 + (-16 - 20)^2} = \sqrt{1440} =12 \cdot \sqrt{10}[/tex]The length of the road that lies within the range of the ambulance service, d, given to the nearest hundredth = 12·√(10) ≈ 37.95
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who plays cold wa?r
The rock is dropped into 89KM deep canyon on a unknown planet it takes .99 minutes for the rock to hit the bottom of the canyon find the acceleration due to gravity on this planet
Can anyone help me please with this question
Answer:
Approximately [tex]50\; \rm m \cdot s^{-2}[/tex], assuming that air resistance is negligible and that the rock was released with zero initial velocity.
Step-by-step explanation:
Let [tex]g[/tex] denote the gravitational acceleration on this planet.
Let [tex]x[/tex] denote the displacement of this rock during this fall. Let [tex]t[/tex] denote the duration of this fall. Assume that the rock was released with an initial velocity [tex]v_{0} = 0\; \rm m \cdot s^{-1}[/tex].
Assume that the air resistance is negligible (such that gravity is the only force on this rock). The acceleration [tex]a[/tex] of the rock during the fall would be constantly equal to the gravitational acceleration [tex]g[/tex].
Since the acceleration of the rock during the fall was constantly [tex]a = g[/tex], the following SUVAT equation would apply:
[tex]\displaystyle x = \frac{1}{2}\, a \, t^{2} + v_{0}\, t[/tex].
Rearrange this equation to find an expression for acceleration [tex]a[/tex]:
[tex]\begin{aligned}a &= \frac{x - v_{0}\, t}{t^{2} / 2}\end{aligned}[/tex].
Convert the height and duration of this fall to standard units:
[tex]\begin{aligned}h &= 89\; \rm km \times \frac{10^{3}\; \rm m}{1\; \rm km} \\ &= 8.9\times 10^{4}\; \rm m\end{aligned}[/tex].
[tex]\begin{aligned}t &= 0.99\; \rm min \times \frac{60\; \rm s}{1\; \rm min} \\ &= 59.4\; \rm s\end{aligned}[/tex].
Substitute in the values to find the value of acceleration [tex]a[/tex]:
[tex]\begin{aligned}a &= \frac{x - v_{0}\, t}{t^{2} / 2} \\ &= \frac{89000\; \rm m}{(59.4\; \rm s)^{2} / 2} && (\text{Note that $v_{0} = 0\; \rm m\cdot s^{-1}$.}) \\ &\approx 50\; \rm m\cdot s^{-2} \end{aligned}[/tex].
By the assumptions above, the acceleration of this rock during this fall would be equal to the gravitational acceleration on this planet. Thus, [tex]g \approx 50\; \rm m\cdot s^{-2}[/tex] on this planet.
answer to this math qustion
(52−24)⋅12÷(30+2⋅3)
Answer:
9[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
(52−24)⋅12 ÷ (30+2⋅3) = 28⋅12 ÷ (30+6)
= 336 ÷ 36
= 9.333333333 = 9[tex]\frac{1}{3}[/tex]
Answer:
9 1/3
Step-by-step explanation:
(52−24)⋅12÷(30+2⋅3)
(28) * 12 / 36
28 * 1/3 = 9 1/3
please view the image below and show work for a brainlist :))
Step-by-step explanation:
calculate the difference in level of water : (68.1-52.5)mL = 15.6mL ( volume)
mass of the rock = 27.69g
density = mass/volume
=> (ρ) = 27.69/15.6 = 1.775g/mL or 1.775g/cm³(1cm³=1mL).
hope this helps you.
Henry and Gavin are marking exam papers. Each set takes Henry 36 minutes and Gavin 1 hour. Express the times Henry and Gavin take as a ratio.
Give your answer in its simplest form.
Answer: 3:5
Step-by-step explanation:
So, taking the ratio of the time taken by Henry to the time taken by Gavin is: (36 mins/ 60 mins) = (36/60) = 3:5 [Taking minutes as the common unit for both of the cases.] Thus the ratio is 3:5 in simplest form.
John has 13 boxes of apples. Each box holds 10 apples. Is 6 of the boxes are full, and 7 of the boxes are half full, how many apples does John have?
Answer:
95 apples
Step-by-step explanation:
given:
John has 13 boxes of apples
each apples can have 10 apples
6 box= full -10 apples
7 box= half full-10÷2=5 apples
•°• John has= (6×10) + (7×5)
= 60+35
=95 apples
Please help!!! geometry
Answer:
17
1234
4567
56783
56743
Can someone plss help me with this!!
QUESTION: b(a-6)
Answer:
ba-6b
Step-by-step explanation:
you transfer ba to 6b
1/2 (3g - 2) = g/2 I need help
Answer:
g = 1
Step-by-step explanation:
1/2 (3g - 2) = g/2
3g - 2 = g
3g = g + 2
3g - g = 2
2g = 2 ÷ 2
g = 1
find the inverse of the function. f(q)=-9(q+6)^3
Answer:
[tex]f(q) = y = 9 {(q + 6)}^{3} \\ q = 9 {(y + 6)}^{3} \\ \frac{ \sqrt[3]{q} }{ \sqrt[3]{3} } = y + 6 \\ y = \frac{ \sqrt[3]{q} }{ \sqrt[3]{3} } \frac{ \sqrt[3]{3} }{ \sqrt[3]{3} } - 6 \\ y = \frac{ \sqrt[3]{q} \sqrt[3]{3}}{ {3} } - 6 = {f}^{ - 1} (q)[/tex]
help please sorry it’s blurry
Answer:
z = -70
Explanation:
-12.2z-13.4z=1792
-25.6z=1792
Divide both sides by (-25.6)
z = -70
what is the effect when a number is added or subtracted to the x (in the bracket)of equation of basic parabola?
Solving Two Step Equations
3 (x +1/3 = 3) 3
Answer:
add 3 to 3 getting 6 put that over 1 then distribute. 6/1(x+1/3=3)
6x + 2 = 18
now subtract both sides by 2
6x = 16
and divide
x= 16/6
simply by diving by 2
x = 8/3
A maritime flag is shown what is the area of the shaded part of the flag
simplify 13-2×8+4-(-20)
Answer:
13 - 2 × 8 + 4 - (-20) = 21
Step-by-step explanation:
I used a calculator, let me know if im incorrect
in which expressions with exponents be multiplied ? ill give you brainliest fr. or however you spell it
Answer:
7^3 x 7^8
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
Given: 9yº Simplify the expression for y= 3. (show your work and explain your reasoning.)
the circle is a 0 btw
The length of a rectangle is 2.5
times its width. The length of
the rectangle is 12 cm. What is
the width of the rectangle?
Answer:
4.8 cm
Step-by-step explanation:
To find the answer, lets use the information we have. We need to find the width, or w. We know that is 2.5 times smaller than its length, and that the length is 12. So lets make an equation to solve:
12/2.5=w
We did this because we know that the length is 2.5 times bigger than the width, so to find the width we need to go 2.5 times smaller than the length, and the length is 12.
Now solve:
4.8=w
So the width of the rectangle is 4.8 centimeters.
Answer:
width = 4.8 cm
Step-by-step explanation:
let width be w then length = 2.5w
Given length = 12 cm , then
2.5w = 12 ( divide both sides by 2.5 )
w = 4.8
That is width = 4.8 cm
find the size of an angle which is two third of its complement.
Answer:
4
Step-by-step explanation:
In a car park the ratio of black cars to red cars are 3:4 If there are 12 black cars in the car park how many red cars are there?
6 identical bags and 3 identical shirts cost 126. 3 such bags cost as much as 2 shirts. what is the cost of one such shirt ?
Answer:
18
Step-by-step explanation:
Write the information algebraically:
6b + 3s = 126
3b = 2s
(b = bags, s = shirts)
The second line in bold means that we can replace 6b with 4s
3b = 2s (multiply both sides by 2)
∴ 6b = 4s
so, 4s + 3s + 126
Now simplify:
7s = 126
We can now find s by dividing both sides by 7:
s = 126 ÷ 7 = 18
1 shirt costs 18