Answer:
(x + 2)(x - 4)(x + 3)Step-by-step explanation:
x²(x + 2) ‐ x(x + 2) ‐ 12(x + 2) =(x + 2)(x² - x - 12) = (x + 2)(x² - 4x + 3x - 12) = (x + 2)(x - 4)(x + 3)[tex]{ \sf{ factorise \: \: { \underline{ \green { \tt{ {x}^{2} (x + 2) - x(x + 2) - 12(x + 2)}}}}}}[/tex]
[tex]{ \sf{ \blue{ \:taking \: (x + 2) \: common}}} \\ \\{ \dashrightarrow { \sf{ \green{(x + 2)( {x}^{2} - x - 12)}}}}[/tex]
[tex]{ \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - (4x - 3x) - 12)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - 4x + 3x - 12)}}}}[/tex]
[tex]{ \dashrightarrow{ \green{ \sf{(x + 2)(x(x - 4) + 3(x - 4))}}}} \\ \\ { \dashrightarrow{ \underline{ \boxed{ \green{ \sf{(x + 2)(x + 3)(x - 4)}}}}}}[/tex]
Evan bought a rectangular doormat that is 1_2 meter long and 3__10 meter wide. What is the area, in square meters, of the doormat?
Answer:
3/20 m²
Step-by-step explanation:
Here is the complete and clear question :
Evan bought A rectangular doormat that was 1/2 a meter long and 3/10 a meter wide. What is the area, in square meters, of the doormat?
Characteristics of a rectangle
A rectangle is a quadrilateral It has two parallel sidesthe diagonals of a rectangle bisect each other and they are equal in lengthArea of a rectangle = length x breadth
Area of the rectangular doormat = [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{3}{20}[/tex] m²
Convert 7x - y = -9 to slope-intercept form. Simplify your answer.
The equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9
Equation of a line in Slope-intercept FormIf "m" is the slope of a line and "b" is the y-intercept, the equation of the line in slope-intercept form is given as: y = mx + b.
Thus, given the equation, 7x - y = -9, rewrite/convert to slope-intercept form as follows:
7x - y = -9
-y = -7x - 9
Divide both sides by -1y = 7x + 9
Therefore, the equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9
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Which of the following situations are equal to 25%? 12 out of 60 3 out of 12 5 out of 20 9 out of 18 8 out of 32
Answer:
8/32;
Step-by-step explanation:
8/32 is equivalent to 1/4 which percentage is 25
An amusement park recently increased the cost of a family season pass. The original price was $150. The new price is $183. What was the percent of increase or markup?
Answer:
1.22%
Step-by-step explanation:
150 x 1.22 = 183
A salesperson had $240, 000 in sales last year, which is 60% of the sales she had this year. Which equation could be used to determine x, the salesperson's total amount of sales, in dollars, for this year?
Answer: $400,000
Step-by-step explanation:
Let the salesperson's total amount of sales, in dollars, for this year be represented by x.
Therefore, 60% of x = $240,000
60/100 × x = $240,000.
0.6 × x = $240,000..
x = $240000 / 0.6
x = $400,000
Therefore, the salesperson's total amount of sales, for this year is $400,000.
PLEASE SOMEONE HELP ME ON THIS ONE!!
Answer:
266.24 Ounces
Step-by-step explanation:
By taking the numbers provided as the inital liquid value and the additional subtraction of 3.84 ounces per day, we get the equation:
y = -3.84(x) + 320
By using this equation we will then add the 14 days as x to get
y = -3.84(14) + 320
y = -53.76 + 320
y = 266.24
rearrange the equation so X is the independent variable.
[tex] - 4x - 6 = 5y + 9[/tex]
Answer:
[tex]x=-1.25y-3.75[/tex]
Step-by-step explanation:
try adding 6 to both sides
-4x=5y+15
try dividing both sides by -4
x=-1.25y-3.75
I NEED HELP !!!! PLEASEEEEEEEEEEEE
A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost?
Answer:
c = $1116/36
c = $31
Step-by-step explanation:
the cost of each jacket can be determined by dividing the total cost of the 36 jackets by the number of jackets bought
cost of each jacket = total order cost / total number of jackets bought
$1116 / 36 = $31
Each jacket costs $31
PLEASE DON'T GO PAST THIS QUESTION. REALLY IMPORTANT!!!!!!!!!!
Answer:
Step-by-step explanation:
8.180
9.34.44
10. 885.6
Identify percent of change. 20 is increased to 22.
Answer:
10% Change
10% increase
Step-by-step explanation:
Hope this helps!
(percent) of its value 24.4
m(x)=-5/3x+4
Find m(3)
Answer:
-1
Step-by-step explanation:
Please enclose the fractional coefficient inside parentheses:
m(x) = (-5/3)x + 4
To find m(3), replace x in the above equation with 3:
m(3) = (-5/3)(3) + 4 = -5 + 4 = -1
In Triangle EFG, the measure of angle G=90°, the measure of angle E=77°, and GE = 8 feet. Find the
length of EF to the nearest tenth of a foot.
Answer:
35.6
Step-by-step explanation:
Which graph represents the linear function y=1/5x-2
Answer: The second one
Step-by-step explanation: Y-int is -2 and the slope is 1/5 so we know its going up but very slowly
Roberto will roll a number cube and flip a coin. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. What is the probability that the number cube lands on an even number and the coin lands on tails?
Answer: There are 3 even numbers on the cube. There are 2 sides to a coin. there is a 1/2 chance of the cube landing on an even number. There is a 1/2 chance of the coin landing on tails.
There is a 1/4 chance of these events occurring together.
A farmer has 140 bushels of beans for sale at a farmer's market. He sells an average of 15 bushels each day. After 6 days, what is the change in the total number of bushels the farmer has for sale at the farmer's market?
Write a signed number representing the change in the total number of bushels the farmer has for sale.
Answer:
50
15 * 6 = 90
140 - 90
A produção mensal de uma Olaria é de 5.000 tijolos nesse mês alvará produziu 3925 tijolos quantos tijolos ainda falta para completar a produção mensal
Responda:
1075 tijolos
Explicação passo a passo:
Dado que:
Número de tijolos produzidos Mensalmente = 5.000 tijolos
A quantidade de tijolos produzidos por licença = 3925
O número de tijolos que ainda faltam no valor mensal desejado:
Quantidade de produção mensal - quantidade produzida por licença
5000 - 3925 = 1075 tijolos
In the class election for president, Savannah won by a ratio of 4:1. If Savannah's opponent had 56 votes, how many students voted in total?
Answer:
64
Step-by-step explanation:
Answer:
61
Step-by-step explanation:
11. x2 + x + 9 = 20
Solve equation using the quadratic formula write in irrational solutions in simplest radical form
problem 1: x^2 + 4 = 0 , x^2 = -4 , this problem has no real solution because x = 2i which is an imaginary number
problem 2: x^2 +x -6 = 0 , (x + 3)(x - 2) =0 , x = 2 or x = -3
problem 3: x^2 -6x +7 =0 , (x^2 -6x +9) - 2 =0 , (x - 3)^2 = 2 , x-3 = √2 , x = 3+√2 or x - 3 = -√2 , x = 3 - √2
who wanna watch anime
Answer:
sure.
Step-by-step explanation:
dm on discord. xcyz#6022
anime is the way leave the earth for your waifu
HELP ME PLEASE I BEG YOU AND I WILL VOTE YOU BRAINLIEST IF YOU REALLY HELP!!!!
Answer:
The correct answer is A(-3,-5)
The numbers 0.1, 12, 15 and 124 can all be classified as counting numbers?
Answer:
No
Step-by-step explanation:
Counting numbers are considered to be whole numbers greater than zero. Whole numbers are positive numbers without decimals or fractions, so 12, 15, and 124 can be classified as counting numbers, but not 0.1.
hope this helps!!!
A rectangular playground has a perimeter of 30 yards. It is 6 yards wide. What is the area of the playground?
A small business is looking for rectangular warehouses to store extra merchandise. Warehouse A has an area of 6900 ft2. Warehouse B is half as wide and one-third as long. How many square feet is Warehouse B?
Answer:
The area of the warehouse B is 1150 square feet.
Step-by-step explanation:
Let [tex]x[/tex], [tex]y[/tex] are the width and length of the warehouse A, in inches. The areas of the each warehouse are described below:
[tex]A_{A} = x\cdot y[/tex] (1)
[tex]A_{B} = \left(\frac{1}{2}\cdot x \right)\cdot \left(\frac{1}{3}\cdot y \right)[/tex] (2)
Where:
[tex]A_{A}[/tex] - Area of the warehouse A, in square inches.
[tex]A_{B}[/tex] - Area of the warehouse B, in square inches.
If we know that [tex]A_{A} = 6900\,ft^{2}[/tex], then by (1) and (2) we have the following equation:
[tex]A_{B} = \frac{1}{6}\cdot A_{A}[/tex]
[tex]A_{B} = 1150\,ft^{2}[/tex]
The area of the warehouse B is 1150 square feet.
Help i will give brainlist. The quotient of 2 and g is 8 can u pls show me step by step ty
Answer:
16
Step-by-step explanation:
Set up the equation: g/2 = 8
We want to get 'g' by itself, so we need to reverse the division of two. To do that, we multiply (division and multiplication go together, addition and subtraction go together) both sides by two (what you do to one side of an equation, you must do to the other).
End up with: g = 16
Hope this helps :)
1. Which function does not have the set of all real numbers as its domain? A) f(x) = 3x + 7 B) f(x) = x3 - 2x2 + x – 5 C) fx= 2x-3 D) fx= x-7x+4
Answer:
None of the given functions
Step-by-step explanation:
Given
[tex]A)\ f(x) = 3x + 7[/tex]
[tex]B)\ f(x) = x^3 - 2x^2 +x - 5[/tex]
[tex]C)\ f(x)=2x - 3[/tex]
[tex]D)\ f(x)=x^2 - 7x + 4[/tex]
Required
Which do not have set of real numbers as its domain
If a function has no root and no denominator, then the domain of such function is a set of all real numbers
The given functions (a) to (d) do not have square roots and do not have denominators.
Hence, all functions have the set of real numbers as their domain
HELP PLSSSSSS MATH :(
Answer:
1. (2,3)
2. (7,-2)
3. (-4,-1)
4. No solutions
Step-by-step explanation:
Solve using substitution or elimination.
Which shows the equation of the line that is parallel to the line 4x + y = 4 and passes through
the point (5, 4)?
Answer:
i B-elive it is B XD
Step-by-step explanation:
Answer:
D. y=-4x+24
Step-by-step explanation:
1.4x+y=4
y=-4x+4
2.4=-4(5)+a
4=-20+a
a=24
3.y=-4x+24
-
The time in Wellington is 11 hours ahead of the time in London. What time is it in Wellington when it is 6 15 am in London?
Answer:
5:15 pm
Step-by-step explanation:
Hope this helps!
Which graph represents the solution set of - 4x - y <- 6?
Answer: it’s D
Step-by-step explanation:
The Linear Inequality - 4x - y <- 6 represents option d, of the solution set.
What is Linear Inequality?
Expressions using linear inequalities compare any two values using inequality symbols like "," ">," "," or "." These values might be either numerical, algebraic, or both. Examples of numerical inequality include 1011 and 20>17, whereas algebraic inequalities include x>y, y19-x, and x z > 11 (also called literal inequalities). The mathematical equation when both sides are not equal is called an inequality. Inequality occurs when a connection compares two expressions or two numbers in an unequal manner. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the phrase. Polynomial inequality, rational inequality, and absolute value inequality are the many sorts of inequalities. The symbols "and ">" signify tight inequalities, whereas " and "signify slack inequalities. A linear inequality looks precisely like a linear equation, but the symbol connecting two expressions is different.
In the given question, we have given the graph of the inequality 4x - y <- 6, So, we need to find the best suitable graph that represents the graph of the given Inequality.
So, the Inequality is:
- 4x - y <- 6.
So, we can substitute the value of x and y;
So, substitute x = 1;
So, The y value will be less than 2;
That is:
y < 2;
Again let's put the value of x = -1;
we get the value of y as less than 10.
y<10;
So, by substituting the values as mentioned we can see that the value of y is decreasing.
So, by plotting the values in the graph, we can get the correct graph.
Hence, The correct answer is option d.
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