Answers
Answer:
(6x - 1) • (2x + 9)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((22•3x2) + 52x) - 9
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 12x2+52x-9
The first term is, 12x2 its coefficient is 12 .
The middle term is, +52x its coefficient is 52 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 12 • -9 = -108
Step-2 : Find two factors of -108 whose sum equals the coefficient of the middle term, which is 52 .
-108 + 1 = -107
-54 + 2 = -52
-36 + 3 = -33
-27 + 4 = -23
-18 + 6 = -12
-12 + 9 = -3
-9 + 12 = 3
-6 + 18 = 12
-4 + 27 = 23
-3 + 36 = 33
-2 + 54 = 52 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 54
12x2 - 2x + 54x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (6x-1)
Add up the last 2 terms, pulling out common factors :
9 • (6x-1)
Step-5 : Add up the four terms of step 4 :
(2x+9) • (6x-1)
Which is the desired factorization
HOPE IT HELPS! :))
Related Questions
2/3 a -1/6=1/3
Solve the equation
Answers
Step-by-step explanation:
a=3/4
Expand & simplify
(9x - y) (9x + y)
Answers
Answer:
[tex]81x^{2}- y^{2}[/tex] this is the answer
Step-by-step explanation:
There are two scarecrows in Mr. Martland's garden. The first scarecrow is 4.69 feet tall. The other scarecrow is 8.1 feet tall. What is the difference between the two scarecrows' heights?
Answers
Answer:
The difference between the two scarecrows' heights is 3.41 feet.
Step-by-step explanation:
To find the difference between the two scarecrows' heights, we have to subtract the height of the shorter one from the height of the taller one.
Hence, the difference between their heights would be (8.1 - 4.69) feet, which equals to 3.41 feet.
Hope this helped!
Answer:
3.41 FT
Step-by-step explanation:
Just subtract 4.69 from 8.1.
tricky the clown
The lines in the graph of part A don't intersect at two whole numbers on the coordinate grid. Estimate the values of the solution to the nearest one-fourth of a unit. Then substitute the x- and y-values of the approximate solution into the two equations. How close do you get to the constant numbers in each equation?
Answers
Answer:
The solution lies at approximately (4.25,6.5).
Step-by-step explanation:
The estimate is pretty close for both equations. For the first equation, the estimate results in a value that is only 0.2125 units away from the constant. For the second equation, the estimate results in a value that is only 0.25 units away from the constant.
Help me classify the triangles by its sides and measuring its angles :)
Answers
Answer:
Triangle 1 : isosceles triangle
Triangle 2 : Right Triangle
Step-by-step explanation:
Simplify the expression. 14 + (-3) -3/7j - 6/7j + 6
Answers
Because you would group all of the non fractions together ( 14-3+6 =17) and then group the fractions together ( 9/7j)
Answer:
[tex]t^{14}[/tex] + 3 + − [tex]\frac{3j}{7}[/tex] + 7 + -[tex]\frac{6j}{7}[/tex]
Step-by-step explanation:
i need help, anyone ?
Answers
AC common side
EF common side
A store is having a summer sale where all prices are 25−30% off. If you want to buy a pair of shoes that costs $50.00, what could be the sale price for this pair of shoes? An 8% sales tax must be applied to the sale price. What would be the final cost of the pair of shoes, including the sales tax?
Answers
Answer:
Before Tax: $37.50 and $32.50
After-Tax: $40.50 and $35.10
Step-by-step explanation:
In order to calculate the sales price we need to turn these percentages into the proper decimals, since they are discounts we would do this by dividing each percentage by 100 and then subtracting them from 1. Then we use those decimals and multiply them by the original cost of the shoes.
25% / 100 = 0.25
1 - 0.25 = 0.75
50.00 * 0.75 = $37.50
30% / 100 = 0.35
1 - 0.35 = 0.65
50.00 * 0.65 = $32.50
Now we see that the sales price for these shoes would range between $37.50 and $32.50. Now we need to add an 8% sales tax, we do this by dividing this percentage by 100 and adding 1 to it. Then we multiply this new value by the new sales prices.
8% / 100 = 0.08
0.08 + 1 = 1.08
$37.50 * 1.08 = $40.50
$32.50 * 1.08 = $35.10
At a department store, a total of 12,568 DVDs were sold last year. The circle graph below shows the percentage of each type of DVD sold.
image
According to the circle graph, about how many action/adventure DVDs were sold last year?
A.
6912
B.
6284
C.
5656
D.
4399
Answers
Answer:
C
Step-by-step explanation:
12568*.45 = 5655.6
c is best answer here
Please help. I will give 16 points.
Answers
Answer:
(4, -2)
Step-by-step explanation:
if you do process of elimination you find that 'a' doesn't work out but 'b' will . . . substitute -2 for 'y' and 4 for 'x' and see if the equation is true
-2 = -3/4(4) + 1
-2 = -3 + 1
-2 = -2
which system of inequalities is shown in the graph
Answers
Answer:
The system of inequalities shown in the graph is x ≤ 4 and y > 1 ⇒ C
Step-by-step explanation:
The equation of a vertical line is x = a, where a is the x-coordinate of any point on the lineThe equation of a horizontal line is y = b, where b is the y-coordinate of any point on the lineIn the given figure, there are 2 lines, let us find the equations of them, then write the inequalities which represent the shaded areas
∵ The purple line is a vertical line
∵ It is cross the x-axis at the point (4, 0)
→ By using the first rule above
∴ The equation of the purple line is x = 4
∵ The purple line is solid and the shaded area left the line
∴ The sign inequality is ≤
∴ The inequality of the purple area is x ≤ 4
∵ The blue line is a horizontal line
∵ It is cross the y-axis at the point (0, 1)
→ By using the second rule above
∴ The equation of the blue line is y = 1
∵ The blue line is dashed and the shaded area above the line
∴ The sign inequality is >
∴ The inequality of the blue area is y > 1
∴ The system of inequalities shown in the graph is x ≤ 4 and y > 1
What postulate or theorem can be used to prove that these two triangles are congruent?
PLEASE HELP I REALLY NEED IT!!!
I will give brainliest.
Use the picture
Answers
Answer:
AAS postulate can be used to prove that these two triangles are congruent
Step-by-step explanation:
Let us revise the cases of congruence
SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd ΔSAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd ΔASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd ΔAAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd ΔHL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right ΔIn the given figure
∵ There is a pair of vertically opposite angles
∵ The vertically opposite angles are congruent ⇒ (1)
∵ There are two angles have the same mark
∴ These marked angles are congruent ⇒ (2)
∵ There are two sides have the same mark
∴ These two marked sides are congruent ⇒ (3)
→ From (1), (2), and (3)
∴ The two triangles have 2 angles and 1 side congruent
→ By using case 4 above
∴ The two triangles are congruent by the AAS postulate of congruency.
AAS postulate can be used to prove that these two triangles are congruent
time sensitive!! i really need help thanksss
Answers
Answer:
-x -y = 5
Step-by-step explanation:
the Answer will be 5
prove that
(pSinB-rcosB)2 +(rsinB+pcosB)2=p2+r2
Answers
Expand the binomials, then simplify, then invoke the Pythagorean identity:
(p sin(B) - r cos(B))² + (r sin(B) + p cos(B))²
= (p² sin²(B) - 2pr sin(B) cos(B) + r ² cos²(B)) + (r ² sin²(B) + 2pr sin(B) cos(B) + p² cos²(B))
= p² (sin²(B) + cos²(B)) + r ² (cos²(B) + sin²(B))
= p² + r ²
For the given figure, write the conclusion for the statements ∠XYZ ≅ ∠ABC and ∠CBD ≅ ∠ABC.
Question 6 options:
∠CDB ≅ ∠ABD
∠ABC ≅ ∠CDB
∠XYZ ≅ ∠ABD
∠XYZ ≅ ∠CBD
Answers
Answer:
<XYZ = <CBD
Step-by-step explanation:
I saw there wasn't an answer so here ya go, learned the hard way...
Answer:
<XYZ = <CBD
Step-by-step explanation:
this is the right answer I can confirm
An infant playpen is in the shape of a circle. If the playpen has a diameter of 2 meters, what is the approximate area of the playpen?
Answers
Answer:
π meters
Step-by-step explanation:
The diameter is 2 meters. Then the radius is 1 meter. So:
A=πr²
=π(1)²
=π meters ...............
Answer:
3.14
Step-by-step explanation
the formula of a circle is A=πrxr
2 divided by 2 is 1
1 x 1 = 1
3.14 x 1 = 3.14
thats is!
Determine the y-intercept of the line that passes through the points (3, 7) and has a slope of 2?
Answers
7 = 2(3) + b
7 = 6 + b, b = 1
Solution: the y intercept is 1
Please ASAP
Jacob combined watermelon, mangos, and blueberries to make a fruit salad. The expression 16p + 24c + 32w represents the total number of fruit in the mix. Jacob wants to divide the fruit salad into equal servings, but he does not know how many. Use factoring to write expressions that will help Jacob divide the fruit salad into 4 servings or 8 servings. So, you need TWO expressions: one expression for 4 servings and one expression for 8 servings.
Answers
8 servings: 2p+ 3c + 4w
1) P n Q'
2) P' U (Q n R)
Answers
Mr. Vaughn set aside $200 of his income each month for years toward home repairs. He spent 30% of the money he set aside to replace a broken water heater. How much of the money he set aside did Mr. Vaughn have left after paying for the water heater?
Answers
Answer:
The answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.
Step-by-step explanation:
In order to find the answer, first you have to calculate 30% of the amount Mr. Vaughn set aside of his income each month to determine the money he spent to replace the broken water heater:
$200*30%=$60
Now, you have to subtract the amount that represents the 30% from the amount he set aside:
$200-$60=$140
According to this, the answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.
how many teaspoons are f vanilla will i use?
Answers
Answer:
9 teaspoons of vanilla
Step-by-step explanation:
12/4=3
3*3=9
Answer:
teaspoons of vanilla =9
Step-by-step explanation:
we can make it as a ratio
So we have (3 for teaspoons and 4 tablespoons)
3:4
Then x : 12
x=(12/4)*3=9
hope this helps
um can somone help me please
Answers
Answer:
8 is 1
Step-by-step explanation: Multiply
what is the slope between (-12, 1), (4,1)?
Answers
Answer:
[tex]m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-12, 1)
Point (4, 1)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{1-1}{4+12}[/tex]Subtract/Add: [tex]m=\frac{0}{16}[/tex]Divide: [tex]m=0[/tex]Answer:
zero; it is a horizontal line
Step-by-step explanation:
equation of slope: [tex]\frac{y1-y2}{x1-x2}[/tex] (-12, 1) (4, 1)
[tex]\frac{1-1}{-12-4}[/tex] = [tex]\frac{0}{-16}[/tex]
Because the numerator is zero, the slope of the line is zero. It is a horizontal line.
what is the solution of the system of equations 2x-5y=11 and -2x+3y=-9
Answers
x = (5y+11)/2
Substitute equation 1 to 2:
-2((5y+11)/2)+ 3y=-9
-2/2 = -1 thus -1(5y+11)
Continue...
-(5y+11)+3y=-9
-5y-11+3y =-9
(-5+3)y= 11-9
-2y = 2
y=-1
Substitute y into equation 1:
x=(5*-1+11)/2
x = 6/2=3
So y=-1 and x =3
Answer:
Step-by-step explanation:
In order for us to be able to get our (x,y) value, we need to show our work step-by-step.
Solving for Y:
-2x + 3y = -9
+ (2x - 5y = 11)
_____________________
-2y = 2
-2 -2
In order for us to be able to find our y value, we need to divide -2 both sides.
y = -1
Solving for X:
2x-5(-1) = 11
2x + 5 = 11
- 5 -5
_____________________
2x = 6
2 2
In order for us to find our x value, we need to divide 2 both sides.
x = 3
Our equation set or (x,y) value will be equal to:
(3,-1)
The local frozen yogurt shop determines the total cost of a cup of yogurt using the formula y = 2 + 0.75x, where x represents the number of ounces. If you can spend between $2 and $5, what is the DOMAIN of this situation
Answers
Answer: 0 ≤ x ≤ 4
Step-by-step explanation:
The cost equation can be written as:
y = $2 + $0.75*x
Where x is the number of ounces that you buy.
If you can spend between $2 and $5, then we have the inequality:
$2 ≤ y ≤ $5
replacing y by the above equation:
$2 ≤ $2 + $0.75*x ≤ $5
Now let's solve this for x.
$2 - $2 ≤ ($2 + $0.75*x) - $2 ≤ $5 - $2
$0 ≤ $0.75*x ≤ $3
now we can divide bt $0.75 in the 3 sides:
$0/$0.75 ≤ ($0.75*x)/$0.75 ≤ $3/$0.75
0 ≤ x ≤ 4
Then the domain is:
D: 0 ≤ x ≤ 4
or we can also write this as:
D = x ∈ [0, 4]
5/9 x 6/15 x 15/4=
Plz help
Answers
Answer:
5/6
Step-by-step explanation:
A candy store uses a 50% markup on cost. Find out the owners cost of a candy bar that sells for $1.50.
Answers
Answer:
The owners' cost of the candy bar is $1
Step-by-step explanation:
Assume that the owners' cost of the candy bar is 100%
∵ The owners' cost of the candy bar is 100%
∵ The candy store uses a 50% markup on cost
∵ The selling cost = owners' cost + markup
∴ The selling cost = 100% + 50% = 150%
∵ The candy bar sells for $1.50
→ That means 1.50 is 150% of the owners' cost
∴ 1.50 = 150% × owners' cost
→ Change 150% to decimal by divide it by 100
∵ 150% = 150 ÷ 100 = 1.50
∴ 1.50 = 1.50 × owners' cost
→ Divide both sides by 1.50
∴ 1 = owners' cost
∴ The owners' costs = $1
∴ The owners' cost of the candy bar is $1
A man set off in his friend’s car on a 200-km journey at 10.30 a.m. The car broke down after it had travelled 150 km at an average speed of 50 km/h. Twenty minutes later, the man was given a lift by a motorist who brought him to his destination at an average speed of 100 km/h. Calculate
a) The time at which he arrived at his destination,
b) The average speed at which he travelled for the whole journey
Can someone help me in this question please I am confused
Answers
Answer:
b) The average speed at which he travelled for the whole journey
Step-by-step explanation:
If he had travel 200- km/h and had broke down by which was at 10:30 a.m you would have to subtract 200 km/h to 10:30 your answer would be 189.7 when they back on the road also the speed slowed down a bit about 50 km/h so you would add 50 km/h to 20 mins you would get 70km/h they were traveling by, then you add all of the numbers up by 100 you would get 640 so your answer would be 640
Quadrilateral RSTU is a parallelogram. What other information would allow you to prove that RSTU is a rectangle? options 1/Opposite angles are congruent. 2/Opposite sides are congruent. 3/The diagonals bisect the angles. 4/The diagonals are congruent.
Answers
Answer:
Opposite angles are congruent
Opposite sides are congruent
Step-by-step explanation:
Find the value of x in the parallelogram.
Answers
Step-by-step explanation:
here is ur answer pls check it