Answers
Answer:
x³ +7x² +7x -15
Step-by-step explanation:
Apply the distributive property repeatedly, and/or recognize the ways that the coefficients of the product are formed.
distributive property
(x -1)(x +3)(x +5)
= (x -1)(x(x +5) +3(x +5))
= (x -1)(x² +5x +3x +15) = (x -1)(x² +8x +15)
= x(x² +8x +15) -1(x² +8x +15)
= x³ +8x² +15x -x² -8x -15
= x³ +7x² +7x -15
__
using knowledge of products of powers
The x³ term will be the product of all of the x-terms.
The x² term will be the pairwise sum of products of two x-terms and the third constant.
The x term will be the pairwise sum of products of one x-term and the two other constants.
The constant term will be the product of all of the constants.
These computations are simplified a bit because all of the x-coefficients are 1.
= x³ +(-1 +3 +5)x² +(-1·3 +(-1)·5 +3·5)x +(-1)·3·5
= x³ +7x² +7x -15
Related Questions
Ms. Vescelius wants to divide her class into cooperative learn-
ing groups. If there are 28 students in the class and she wants
all the groups to have the same number of students, how
many students should she put in each group?
Answers
Answer 1
She should put 7 students in each group. And there will be 4 groups.
Answer 2
She should put 4 students in each group and there will be 7 groups.
Explanation: 7*4 =28
hi i need help with this
Answers
Answer:
15 in
Step-by-step explanation:
d^2 = w^2 + l^2
25^2 = 20^2 + l^2
l^2 = 225
l = 15
Two consecutive whole numbers is 57. What are the two numbers?(hint: Let n represent the first number. Then n + 1 is the next consecutive whole number.
Answers
28+29 = 57
=======================================================
Explanation:
n = first number
n+1 = second number
Add up those two items and set the result equal to 57. Solve for n.
first+second = 57
(n) + (n+1) = 57
2n+1 = 57
2n = 57-1
2n = 56
n = 56/2
n = 28
n+1 = 28+1 = 29
The two consecutive whole numbers are 28 and 29
28+29 = 57
Answer:
28 and 29
Step-by-step explanation:
Given values:
1st number = n
2nd number = n+1
n + n + 1 = 57
2n + 1 = 57
2n = 56
n = 28
n+1 = 29
Answer: 28 and 29
Here's the Question ~
[tex] {2 - 1}^{2} [/tex]
Answers
Answer:
The answer is 1
Step-by-step explanation:
1² = 1×1
= 1
2 - 1² = 2 - 1
= 1
Which linear inequality is represented by the graph?
6-
-5
y s 2x + 4
oys 2x + 3
O y2+x+3
-3
O yz 2x + 3
Please help!!
Answers
Answer: y ≤ (1/2)x + 3
Step-by-step explanation:
The slope is 1/2 and the y-intercept is 3.
The linear inequality represented by the graph is [tex]y \le \frac 12x + 3[/tex]
From the graph, we have the following highlights:
The inequality has a closed line, and the bottom part is shadedThe slope of the line is 1/2The y-intercept is 3The first highlight implies that the inequality sign to use is ≤
The slope (m) is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{3 -4}{0-2}[/tex]
[tex]m = \frac{-1}{-2}[/tex]
[tex]m = \frac{1}{2}[/tex]
The y-intercept (b) is where the line crosses the y-axis:
b = 3
The linear inequality is represented as:
[tex]y \le mx + b[/tex]
So, we have:
[tex]y \le \frac 12x + 3[/tex]
Hence, the linear inequality is [tex]y \le \frac 12x + 3[/tex]
Read more about linear inequality at:
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What is the range of the relation?
Question 9 options:
{–4, –2,–1, 2}
{–4, 4}
{–3, –2, 0, 2}
{–4, –2, –1, 0, –2}
Answers
Answer:
{- 3, - 2, 0, 2 }
Step-by-step explanation:
The range is the y- coordinates of the points
(- 4, - 3 ) , (- 1, - 2 ) , (- 2, 0 ) , (0, 2 )
The y- coordinates are - 3, - 2, 0, 2
Then the range is { - 3, - 2, 0, 2 }
Match each operation to its opposite
Answers
Use the function below to find f(-2)
F(x)=3x
Answers
Answer:
B
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Then
f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B
A store manager is marking down microscopes from $1,000 to $620. What is the discount, as
a percentage?
Answers
1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?
Pls hurry
Answers
Answer:
8 potatoes for $2.56 is the better deal.
Step-by-step explanation:
unit price formula; cost ÷ quantity
2.56 ÷ 8 = $0.32
4.32 ÷ 10 = 0.432
round to the nearest hundredth
= $0.43
compare the answers
Answe 42.2
Step-by-step explanation:
The other vender because he got 42.2 dollar other got 20.48
find the value of 777^2 - 223^2
Answers
Answer:
549440
Step-by-step explanation:
777^2 = 603729
223^2 = 54289
603729 - 54289 = 549440
Sarah is 2 inches taller than the quotient of billy’s height and 5. Let b represent Billy’s height. write an expression that represents Sarah’s height
Answers
Answer:
1
Step-by-step explanation:
5(x+1) = 12
5(x+1) = 5x + 12
5(x+1) = 5x + 5
5(x=1) = 0
what one is an infinite solution
Answer:
[tex]2 + \frac{b}{5} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Check
Match the solution set given in inequality notation with the solution set given in interval notation.
17,88
(-0, 7.8)
7.8
(7.8,00)
> 7.8
[7.8,00)
V
7.8
(-0, 7.8)
Answers
The Matching of the inequality is
x ≤ 7.8 -> (-∞,7.8]
x < 7.8 -> (-∞,7.8).
x > 7.8 -> (7.8,∞)
x ≥ 7.8 -> [7.8,∞).
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
1. x ≤ 7.8
Here the value of is less than equal to 7.8 which means starting from -∞ to 7.8
Thus, the interval is (-∞,7.8]
2. x < 7.8
Here the value of is less than 7.8 which means starting from -∞ to less than 7.8.
Thus, the interval is (-∞,7.8).
3. x > 7.8
Here the value of is greater than 7.8 which means starting from 7.9 to ∞.
Thus, the interval is (7.8,∞)
4. x ≥ 7.8
Here the value of is greater than equal to 7.8 which means starting from 7.8 to ∞.
Thus, the interval is [7.8,∞).
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What is another way to write the calculation add 16 and 25, and then multiply by 47?
Answers
Answer:
(16+25)×47
Step-by-step explanation:
..........
(16+25)x47 , theree you go
HELP ASAPPP!
Ava has $30 for a cab ride. It costs $3.50 for the cab to pick her up then $1.50 per mile after the initial pick-up fee. Which inequality best represents the real-world situation?
Answers
Answer: [tex]1.50x+3.50\leq 30[/tex]
Step-by-step explanation:
x represents how many miles after the pick-up. we add on 3.50 because that is the intial pick-up price. then the cost has to be under 30 because she only has 30 dollars
What is this in terms of joules?
Answers
What is 10/11x11/12 in the fraction form
Answers
Answer:
83/100
Step-by-step explanation:
10/11x11/12 is 0.8333333....
A wedding venue holds no more than 185 guests. If 319 people have said they are attending, how many more people does the venue have room for?
Answers
Answer:185 guests
Step-by-step explanation: it can only hold 185 guests no more.
if it's 11:24 what time will it be in 49 minutes
Answers
Hi,
if it's 11:24, it wil be 12:13
✅(◠‿◕)
(Uhm....This is a question out of maths) How many floors are 78 steps
Answers
Martin drank 2/3 liter of water Monday before going jogging.He drank 3/7 liter of water after his jog.How much water did Martin drank altogether?Write your answer as a mixed number.
Answers
14/21 + 9/21 = 23/21 or 1 and 2/21 liters
What number is halfway between 6.7 and 11.9
Answers
Answer:
2.05
Step-by-step explanation:
To find the Median value, we begin by sorting Or arranging our numbers In ascending Or descending order.
-8.8,-5.7,-2.6,0.5,3.6,6.7,9.8,11.9
Having an even (8) number of values, the median is the midway point between the two middle numbers.
In our case the two middle numbers are 0.5 and 3.6
(0.5+3.6)/2
Median=2.05 (In words: two && 5/100)
Under his cell phone plan, Nathaniel pays a flat cost of $41 per month and $4 per gigabyte. He wants to keep his bill at $45.80 per month. Write and solve an equation which can be used to determine 2, the number of gigabytes of data Nathaniel can use while staying within his budget.
Answers
Answer:
equation: 41+4x=45.80
answer: x=1.20
Step-by-step explanation:
The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.
Let's denote the number of gigabytes of data Nathaniel can use as x.
Then the equation representing his cell phone bill can be set up as:
Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)
$45.80 = $41 + ($4 × x)
Now, we can solve for x:
$4 × x = $45.80 - $41
$4 × x = $4.80
x = $4.80 / $4
x = 1.2
So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.
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Solve w + 1∕4 < 7∕8.
Question 10 options:
A)
w < 5∕8
B)
w = 5∕8
C)
w > 5∕8
D)
w ≤ 5∕8
Answers
Answer:
w < 5/8
Step-by-step explanation:
3. Solve the equation shown below for x.
6(x - 1) = 42
Answer:
Answers
Answer:
x=8
Step-by-step explanation:
open the brackets to be
6x-6=42
then collect like tems
6x=48
x=8
The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?
_____meters by ____ meters
PLEASEE HELPP MEE PLEASEEEE!
Answers
Half the perimeter is the length + the width
62/2 = 31
Area = length x width
16 + 15 = 31, 15 x 16 = 240
17 + 14 = 31, 17 x 14 = 238
20 + 11 = 31, 20 x 11 = 220
Answer: 20 meters x 11 meters
Why will nobody answer my questions..
Which graph represents the solution to this inequality?
-1/4(12x+8)<-2x+11
Answers
Answer: I would need a picture of the possible graphs.
⦁ Determine the zeros of f(x) = (x + 1)^2(x – 3)(x – 4). Indicate the multiplicity of any factors that occur more than once.
Answers
Answer:
see explanation
Step-by-step explanation:
To find the zeros equate f(x) to zero , that is
(x + 1)²(x - 3)(x - 4) = 0
Equate each factor to zero and solve for x
x- 4 = 0 ⇒ x = 4
x - 3 = 0 ⇒ x = 3
(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then
x = - 1 with multiplicity 2
3. If you are calculating the acceleration of an object, and it has a speed of 30 km/hr
and the time is measure in hours what are the units for acceleration?
I
Answers
We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.
So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).
Note that position is represented only with distance units, like km.
And to get a velocity you use the units km/h (that tell you how many kilometers your position changes in one hour).
Similarly, the rate of change of the velocity will be (velocity)/time.
(km/h)/h = km/h²
Which is kilometers per hour squared.
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Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31
Answers
10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰
10101₂ = 16 + 0 + 4 + 0 + 1
10101₂ = 21
Here see below
[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
