Please factorise the equations in the doc bellow ASAP. please show full working
Answers
Answer:
b. x² + 8x + 12 =
1. use the factoring X (see attachment)
2. 6 x 2 = 12; 6 + 2 = 12
3. (x + 6)(x + 2) = 0
4. x = -6, -2
c. x² + 13x + 12 =
1. 12 x 1 = 12; 12 + 1 = 13
2. (x + 12)(x + 1) = 0
3. x = -12, -1
c. x² + x - 12 =
1. 4 · (-3) = -12; 4 - 3 = 1
2. (x +4)(x - 3) = 0
3. x = -4, 3
f. x² + 15x + 36 =
1. 12 x 3 = 36; 12 + 3 = 15
2. (x + 12)(x + 3) = 0
3. x = -12, -3
hope this helps :)
Answer:
b) - (x + 2)(x + 6)
c) - (x + 12)(x + 1)
c) - (x - 3)(x + 4)
f) - (x + 12)(x + 3)
Step-by-step explanation:
Well to factor the given info we need to find the factors.
b)
[tex]x^2 + 8x + 12[/tex]
So 6*2 = 12
6x + 2x = 8x
x*x = x^2
Factored - (x + 2)(x + 6)
c)
[tex]x^2 + 13x + 12[/tex]
Well x*x = x^2
and 12*1 = 12
12x + x = 13x
Factored - (x + 12)(x + 1)
The second c)
[tex]x^2 + x - 12[/tex]
Well x*x = x^2
-3*4 = -12
-3x + 4x = x
Factored - (x - 3)(x + 4)
f)
[tex]x^2 + 15x + 36[/tex]
So x*x = x^2
12*3 = 36
12x + 3x = 15x
Factored - (x + 12)(x + 3)
Thus,
everything factored is (x + 2)(x + 6) , (x + 12)(x + 1) , (x - 3)(x + 4) ,
(x + 12)(x + 3).
Hope this helps :)
Related Questions
Colin has a pad with x pieces of paper on it. For his first class, he wrote on 5 fewer than half of the pieces of paper in the pad. He used 2 more sheets in his second class than in his first. How many sheets are left for his third class? ill give brainliest to the first answer
Answers
Answer:
Colin has 8 sheets left for his third class.
Step-by-step explanation:
Given that:
Total Number of pieces of papers = [tex]x[/tex]
Number of pieces of papers used for 1st class = 5 fewer than half of the pieces in the pad
Writing the equation:
[tex]\text{Number of pieces of papers used for 1st class =} \dfrac{x}{2} -5 ...... (1)[/tex]
Also, Given that number of pieces of papers used for the 2nd class are 2 more than that of papers used in the 1st class.
[tex]\text{Number of pieces of papers used for 2nd class =} \dfrac{x}{2} -5+2 = \dfrac{x}2 -3 ...... (2)[/tex]
Now, number of pieces of papers left for the third class = Total number of pieces of papers in the pad - Number of pieces of papers used in the first class - Number of pieces of papers used in the first class
[tex]\text{number of pieces of papers left for the third class = }x-(\dfrac{x}{2}-5)-(\dfrac{x}{2}-3)\\\Rightarrow x-\dfrac{x}2-\dfrac{x}2+5+3\\\Rightarrow x-x+5+3\\\Rightarrow 8[/tex]
So, the answer is:
Colin has 8 sheets left for his third class.
How do you solve -6(4d+5)+7d=-2d
Answers
Answer:
d = -2Step-by-step explanation:
-6(4d + 5) + 7d = -2d -24d - 30 + 7d = - 2d -17d - 30 = -2d+2d+30 +2d+30
-15d = 30÷(-15) ÷(-15)
d = -2my mistake it's actually d= -30/19 sometimes I forget you put them in fractions
A scale drawing of Jimmy's living room is shown below:
If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet
Answers
Answer:
The answer is
Step-by-step explanation:
If 2cm is 8 feet on the drawing then since 4 is the double of 8,
16 would be the width
8·2=16
For the length, 4 is two less than 6 so, to find the width,
Add 16+2=18
Therefore,
The answer is C.
Length=18 Width=16
Answer:
Length = 24 ft, width = 16 ft
Step-by-step explanation:
The scale is 2 cm (drawing) = 8 ft (real).
The drawing length is 6 cm.
6 cm is 3 times 2 cm
Multiply both sides of the scale by 3.
3 * 2 cm = 3 * 8 ft
6 cm = 24 ft
The real length is 24 ft.
The drawing width is 4 cm.
4 cm is 2 times 2 cm
Multiply both sides of the scale by 2.
2 * 2 cm = 2 * 8 ft
4 cm = 16 ft
The real width is 16 ft.
Answer:
Length = 24 ft, width = 16 ft
a subway train with 47 people stops at a station and picks up 20 more people at the same station p people get off. there are 52 people left on the train. which equation shows how to find the value of p
Answers
Answer:
67 - p = 52
Step-by-step explanation:
the train starts with 47 people: 47
it picks up 20 more: 47 + 20 = 67
p people get off: 67 - p
52 people are left on train: 67 - p = 52
The area of a circle is 49\pi square units. What is the radius of the circle, in units?
Answers
Answer:
7
Step-by-step explanation:
The formula to find the area of a circle is pi*r^2.
We were given 49pi. This means that 49=r^2.
The square root of 49 is 7.
So our radius is 7.
Hope this helps! <3
−2(x−7)+3(x+5)=x+9 PLEASE HELP
Answers
Answer: no solution
Step-by-step explanation:
-2(x-7)+3(x+5)=x+9
Distribute
-2x+14+3(x+5)=x+9
Distribute
-2x+14+3x+15=x+9
Combine like terms
x+29=x+9
Subtract(x)
29=9
Because 29 does not equal 9, the equation has no solutions
Hope it helps <3
Answer:
There is no solution.
Step-by-step explanation:
[tex] - 2(x - 7) + 3(x + 5) = x + 9[/tex]
Distribute -2 through the parentheses
[tex] - 2x + 14 + 3(x + 5) = x + 9[/tex]
Distribute -3 through the parentheses
[tex] - 2x + 14 + 3x + 15 = x + 9[/tex]
Collect like terms
[tex]x + 14 + 15 = x + 9[/tex]
Add the numbers
[tex]x + 29 = x + 9[/tex]
Cancel equal terms on both sides of the equation
[tex]29 = 9[/tex]
The statement is false for any value of x
x ∈ ∅
Hope this helps..
Best regards!!
I SHALL NAME THEE BRAINLIEST! (: Use Associative and Commutative Properties to combine like terms. Simplify the expression. Plz help me. -5X + 8X - 4 -5Y + 3 - 6Y + 2Y + 4 6 + X - 5 + 3X + 8 3B - B + 7 + 4B
Answers
Answer
6B+7X-9Y+19
Step-by-step explanation:
did this several times but still didn't get the answer .pls do try this :)
Answers
Answer:
x=-15/2 and x=1
x=6 and x=3/4
Step-by-step explanation:
You have the following equations:
[tex]\frac{4x-3}{x+2}=\frac{2x}{x+5}[/tex]
[tex]\frac{2}{x-2}+\frac{3}{x}-\frac{9}{x+3}[/tex]
To solve both equations you can first multiply by the m.c.m of the denominators, and then solve for x, just as follow:
first equation:
[tex][\frac{4x-3}{x+2}=\frac{2x}{x+5}](x+2)(x+5)\\\\(4x-3)(x+5)=2x(x+2)\\\\4x(x)+4x(5)-3(x)-3(5)=2x(x)+2x(2)\\\\4x^2+20x-3x-15=2x^2+4x\\\\4x^2-2x^2+20x-3x-4x-15=0\\\\2x^2+13x-15=0[/tex]
In this case you use the quadratic formula:
[tex]x_{1,2}=\frac{-13\pm \sqrt{(13)^2-4(2)(-15)}}{2(2)}\\\\x_{1,2}=\frac{-13 \pm 17}{4}\\\\x_1=-\frac{15}{2}\\\\x_2=1[/tex]
Then, for the first equation the solutions are x=-15/2 and x=1
second equation:
[tex][\frac{2}{x-2}+\frac{3}{x}=\frac{9}{x+3}]x(x-2)(x+3)\\\\2x(x+3)+3(x-2)(x+3)=9x(x-2)\\\\2x^2+6x+3(x^2+3x-2x-6)=9x^2-18x\\\\2x^2+6x+3(x^2+x-6)=9x^2-18x\\\\2x^2+6x+3x^2+3x-18-9x^2+18x=0\\\\-4x^2+27x-18=0[/tex]
Again, you use the quadratic formula:
[tex]x_{1,2}=\frac{-27\pm \sqrt{(27)^2-4(-4)(-18)}}{2(-4)}\\\\x_{1,2}=\frac{-27\pm 21}{-8}\\\\x_1=6\\\\x_2=\frac{3}{4}[/tex]
Then, the solutions for the second equation are x=6 and x=3/4
Given that
7
x
−
2
y
=
35
Find
y
when
x
=
−
9
Answers
Answer:
y = - 49
Step-by-step explanation:
Given
7x - 2y = 35 ← substitute x = - 9 into the equation
7(- 9) - 2y = 35, that is
- 63 - 2y = 35 ( add 63 to both sides )
- 2y = 98 ( divide both sides by - 2 )
y = - 49
Answer:
[tex]\boxed{y = -49}[/tex]
Step-by-step explanation:
=> [tex]7x-2y = 25[/tex]
Given that x = -9
=> [tex]7(-9)-2y = 35[/tex]
=> [tex]-63 -2y = 35[/tex]
Adding 63 to both sides
=> [tex]-2y = 35+63[/tex]
=> [tex]-2y = 98[/tex]
Dividing both sides by -2
=> [tex]y = 98/-2[/tex]
=> [tex]y = -49[/tex]
how to do this question plz answer me step by step plzz
Answers
Answer:
30, 85, 95, 150
Step-by-step explanation:
The angles of a quadrilateral add to 360
Let x be the smallest angle
x+55
x+65
x+120 are the other three angles
Add the 4 angles together and they sum to 360
x+x+55 x+65+ x+120 = 360
Combine like terms
4x+240 = 360
Subtract 240 from each side
4x+240-240 = 360 -240
4x = 120
Divide by 4
4x/4 = 120/4
x = 30
x+55= 30+55 = 85
x+65 = 30+65 = 95
x+120 = 30+120 = 150
What is 30% of 80? show two strategies for solving this problem
by both directly multiplying 0.3(80) AND setting up equivalent ratios and solving with cross products
30/100= x/80. You
must show all of your work!
Answers
Answer:
24
Step-by-step explanation:
30/100=x/80
cross multiply:
100x=2400
divide by 100:
x=24
Not quite sure how you want me to explain the other way step by step... Hope this helps!
80*.3=24
Find the value of X and Y in the following parallelogram.AD =X+8 D=2y +13 C=16-x CB=5y+4 AB=o
Answers
Answer:
The answer is below
Step-by-step explanation:
AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4
In a parallelogram, consecutive angles are supplementary and opposite sides are equal.
Therefore for parallelogram ABCD, AB = CD, CB = AD
Since AD = CB (opposite sides of a parallelogram are equal):
x + 8 = 5y + 4
5y - x = 8 - 4
5y - x = 4 (1)
∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:
16 - x + 2y + 13 = 180
2y - x + 29 = 180
2y - x = 180 -29
2y - x = 151 (2)
To find x and y, subtract equation 1 from equation 2:
3y = -147
y = -49
Put y = -49 in equation 2
2(-49) - x = 151
x = -98 - 151
x = -249
can someone please help me?
Answers
Answer:
-1Option C is the correct option.
Step-by-step explanation:
Let the points be A and B
A ( -2 , 7 ) -----> ( x1 , y1 )
B ( 2 , 3 )-------> ( x2 , y2)
Now, let's find the slope:
Slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]
plug the values
[tex] = \frac{3 - 7}{2 - ( - 2)} [/tex]
Calculate the difference
[tex] = \frac{ - 4}{2 - (2)} [/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] = \frac{ - 4}{2 + 2} [/tex]
Add the numbers
[tex] = \frac{ - 4}{4} [/tex]
Any expression divided by its opposite equals -1
[tex] = - 1[/tex]
Hope this helps..
Best regards!!
248 miles per hour = x meters per second. Round to the nearest hundredth.
Answers
Answer:
110.87 m/sStep-by-step explanation:
This problem is based on unit conversion from miles per hour to meter per second.'
From tables 1 mph= 0.44704 m/s
Given 248 mph to be converted to meters per second.
hence we have
1 mph= 0.44704 m/s
248 mph= x
cross multiplying we have
x= 110.86592 m/s
to the nearest hundreth we have
110.87 m/s
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?
O A. -6
O B. -12
O C. 12
O 0.6
Answers
Answer:6 a p e x
Step-by-step explanation:
What is x, if the volume of the cylinder is 768 pi cm3? Do not use units or commas in your answer.
Answers
Answer:
48
Step-by-step explanation:
We have that the volume of a cylinder is given by:
V = pi * (r ^ 2) * h
In this case we know the diameter, we know that the radius is half the diameter like this:
r = d / 2
r = 8/2
r = 4
Now we know that the V equals 768 pi
we replace and we have:
768 * pi = pi * (4 ^ 2) * h
768 = 16 * h
h = 768/16
h = 48
Therefore the value of x would be 48 cm
A 40 ft board is cut into two pieces so that one piece is 8 ft longer than the other piece. Find the length of the two pieces
Answers
Answer:
16 and 24 ft
Step-by-step explanation:
If we call the length of one piece x, the length of the other piece is x + 8, therefore, we can write the following equation:
x + x + 8 = 40
2x + 8 = 40
2x = 32
x = 16 so x + 8 = 16 + 8 = 24.
Answer:
24 and 16
Step-by-step explanation:
x + x+8=40
2x+8=40
2x=32
x=16
16 and 24
Write the following phrase as an expression. "7 more than n"
Answers
Answer:
7+n
Step-by-step explanation:
More indicates that we are adding an amount to n.
So since it is 7 more, we need to add 7 to n.
Note that an expression does not include an equal sign, so we are done.
Other commonly seen phrases are:
less than -> indicates subtraction
product of -> indicates multiplication
divided by -> division
What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch? Do not use units or commas in your answer.
Answers
Answer:
1131 cubic inches.
Step-by-step explanation:
The front side of the figure contains a rectangle and a semicircle.
Area of rectangle is
[tex]A_1=length\times breadth[/tex]
[tex]A_1=11\times 12[/tex]
[tex]A_1=132\text{ in}^2[/tex]
Radius of semicircle is
[tex]r=17-11=6\text{ in}[/tex]
Area of semicircle is
[tex]A_2=\dfrac{1}{2}\pi r^2[/tex]
[tex]A_2=\dfrac{1}{2}\pi (6)^2[/tex]
[tex]A_2\approx 56.55[/tex]
Area of front side is
[tex]A=A_1+A_2=132+56.55=188.55\text{ in}^2[/tex]
Let front side is the base of prism and height is 6 in. So, volume of given figure is
[tex]V=\text{Base area}\times height[/tex]
[tex]V=188.55\times 6[/tex]
[tex]V=1131.3[/tex]
[tex]V\approx 1131\text{ in}^3[/tex]
Therefore, the required volume is 1131 cubic inches.
Find the product.
7xy(3x2y3)
PLEASES HELP!!! ASAP!!!
Answers
Answer:
21x³y^4
Step-by-step explanation:
7xy(3x^2y^3)=
21x³y^4
Answer:
21x^3y^4
Step-by-step explanation:
Multiply each term:
21x^3y^4
Plz mark me brainliest!!
i don't get division at all i did but i moved a lot of places and i forget things
Answers
Answer:
What is the question
Step-by-step explanation:
first correct answer gets best marks and it doesn't have to be long just a quick answer that's it
Answers
Answer:
see below
Step-by-step explanation:
-3.55 g≤ -28.4
Divide each side by -3.55, remembering to flip the inequality
-3.55 g/-3.55≥ -28.4/-3.55
g≥8
Closed circle at 8 and the line goes to the right
Help I will mark brainliest
Answers
Answer:
A.{7}^{15}
[tex]4.7475615 {}^{12}[/tex]
Step-by-step explanation:
[tex]( {7}^{5} ) {}^{3} = {7}^{5} =(16807) {}^{3}=4.7475615 {}^{12} [/tex]
Hope this helps ;) ❤❤❤
What is the probability that both of Eduardo's partners for the group project will be girls? StartFraction 9 Over 65 EndFraction StartFraction 24 Over 65 EndFraction StartFraction 64 Over 169 EndFraction StartFraction 128 Over 325 EndFraction
Answers
Answer:
StartFraction 24 Over 65 EndFraction
Step-by-step explanation:
Total number of students = 26
Number of boys = 10
Number of girls = 26-10
=16
Eduardo has to pull two names out of the hat without replacing them.
First name
Probability= Favourable outcome/Total outcome
Probability of girls=16
Total probability=26
Eduardo has to pull two names out of the hat without replacing them.
Probability= Favourable outcome/Total outcome
=16/26
=8/13
For the second name:
Without replacement of the first hat
Probability of girls=16-1=15
Total probability=26-1=25
Probability= Favourable outcome/Total outcome
=15/25
=3/5
Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5
=24/65
StartFraction 24 Over 65 EndFraction
Answer:
B.) 24/65
Step-by-step explanation:
Took the test
A box of God diva chocolate contains 52 identical wrapped chocolates AR troubles 31 have caramel filling the rest of them have walnuts what is the probability of the chocolate chosen at random containing walnuts
Answers
Answer:
21/52Step-by-step explanation:
Given the total God diva chocolate contained in a box to be equal to 52 identical chocolates.
If 31 have caramel filling, the amount of walnut filling will be 52-31 = 21. This means 21 remaining chocolate will contain walnuts.
Probability = expected number of outcomes/total outcome
If we are to find the probability that the chocolate chosen at random contains walnuts, then our expected outcome will be 21 and the total outcome will be total God diva chocolate contained in the box which is 52.
The probability that the chocolate chosen at random contains walnuts = 21/52
Sergei runs a bakery. He needs at least 175 kilograms of flour in total to complete the holiday orders he's received. He only has 34 kilograms of flour, so he needs to buy more. The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the smallest number of bags as possible and get the amount of flour he needs. Let F represent the number of bags of flour that Sergei buys.
Answers
Answer:
Step-by-step explanation:
34+23F=175
23F=175-34=141
F=141/23≈6.13
so he buys more 7 bags
Using proportions, it is found that Sergei needs to buy 7 bags.
-----------
This question is solved by proportions, using a rule of three.He has 34 kilograms of flour.He needs 175 kilograms.Thus, he needs to buy 175 - 34 = 141 kilograms.Each bag contains 23 kilograms. How many bags are needed for 141 kilograms?1 bag - 23 kilograms
x bags - 141 kilograms
Applying cross multiplication:
[tex]23x = 141[/tex]
[tex]x = \frac{141}{23}[/tex]
[tex]x = 6.1[/tex]
Rounding up, he needs to buy 7 bags.
A similar problem is given at https://brainly.com/question/23536327
It is believed that 30% of the people in Washington state want cell phone use banned in cafes. The CEO of a major coffehouse chain in Seattle wonders whether the opinion of the people who go to her cafes is different from the overall population. She hires a polling agency to investigate this issue. In a random sample of 1450 individuals, 474 people have the same opinion as the overall population. What is the p-value?
Answers
Answer:
The p-value is 0.025
Step-by-step explanation:
Given that:
30% of the people in Washington state want cell phone use banned in cafes
sample size N = 1450
X = 474 people have the same opinion.
The objective is to calculate the p-value.
Let's assume the level of significance = 5% = 0.05
From the information given ; the null and alternative hypothesis can be computed as:
[tex]\mathbf{H_o: p = 0.30 } \\ \\ \mathbf{H_a: p \neq 0.30}}[/tex]
USING MINITAB; the simulation on what we compute on our MINITAB can be written as:
Test for p = 0.3 vs p not = 0.3
Sample X N Sample p 95 C.I Z-value P-value
1 474 1450 0.326897 (0.302752, 0.351041) 2.23 0.025
From what we have in our MINITAB Output;
Z - value = 2.23
P-Value = 0.025
What is the actual distance, in miles, between two cities that are 3 inches apart on the map?
Answers
Answer:
Step-by-step explanation: to answer this question I need to know what 1 inch to a mile is. like every one inch= 12 miles
The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.What is this function written in vertex form?
Answers
Answer:
[tex]f(x) = (x+1)^2 +2[/tex]
Step-by-step explanation:
Well you complete the square and get,
[tex]x^2 + 2x + 1 ^2 - 1^2 +3[/tex]
Then you use the binomial formula to get,
(x + 1)^2 + 2
Thus,
f(x) = x^2 + 2x + 3 is f(x) = (x + 1)^2 + 2.
Hope this helps :)
Carter bought a bear and paid for a football uniform. The total cost was $38.50. Write and solve an equation to find the cost, x, of buying a bear.
Answers
Answer:
Equation:- [tex]x + y = 38.50[/tex]
Solution of x:- [tex]x = 38.50 - y[/tex]
Step-by-step explanation:
Given
Total Purchase = $38.50
Required
Determine the equation for finding the cost of a bear
From the question; we understand that the cost of 1 bear is represented with x
Solving further; by representing the cost of 1 football uniform with y
So;
[tex]1\ bear + 1\ uniform = 38.50[/tex]
Substitute x for 1 bear and y for 1 uniform to give us an equation
[tex]x + y = 38.50[/tex]
Solving for x (Subtract y from both sides)
[tex]x +y - y = 38.50 - y[/tex]
[tex]x = 38.50 - y[/tex]
The equation can't be solved further