Drag the tiles to the boxes to form correct pairs.
Not all tiles will be used.
Match each binomial with its factors.
Answers
Answer:
1 .4x2-9= 2x+3,2x-3
2 .16x2-1=4x-1,4x+1
3 .16x2-4=4(2x+1)(2x-1)
4 .4x2-1=(2x+1)(2x-1)
Step-by-step explanation:
16x² − 1 = (4x − 1)(4x + 1) ; 16x² − 4 = 4(2x + 1)(2x − 1); 4x² − 1 = (2x + 1)(2x − 1) ;
4x² − 9 = (2x + 3)(2x − 3)
16x² − 1 is the difference of squares. This is because 16x² is a perfect square, as is 1. To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.
The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).
16x² − 4 is also the difference of squares. The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2). However, we can also factor a 2 out of each of these binomials; this gives us
2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)
4x² − 1 is also the difference of squares. The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).
4x² − 9 is also the difference of squares. The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).
Answer:
Have a great rest of your day :)
Step-by-step explanation:
Related Questions
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A population of 470 animals decreases at an annual rate of 12%.
a.f(x)=470(1.88)x
b.f(x)=470(0.12)x
c.f(x)=470(0.88)x
d.f(x)=470(1.12)x
Answers
Answer:
C. f(x) = 470(0.88)ˣStep-by-step explanation:
Initial number = 470Decrease rate = 12% ⇒ 100% - 12% = 88% ⇒ 0.88 timesRequired equation:
f(x) = 470(0.88)ˣCorrect choice is C
Natalie is playing the Integer Game and only shows you the four cards shown below. She tells you that the rest of her cards have the same values on them and match one of these four cards.
Answers
Missing part of question
(a) If all matching cards will increase her score by 18, what are the matching cards
(b) If all matching cards will decrease her score by 12, what are the matching cards
See attachment for cards
Answer:
(a) 9 card number 2 or 6 card number 3
(b) 6 card number -6
Step-by-step explanation:
Given
The number on the cards are: 2, 3, -6 and 4
Solving (a): An increment of 18
From the card numbers attached, there are 3 positive numbers and 1 negative number
If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.
Next, for a card number to give an increment of 18; the card number must be a factor of 18.
So, we have:
[tex]\frac{18}{2} = 9[/tex]
[tex]\frac{18}{3} = 6[/tex]
[tex]\frac{18}{4} = 4.5[/tex]
Only 2 and 3 are factors of 18.
So, Natalie cards are: 9 card number 2 or 6 card number 3
Solving (b): A decrement of 12
If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.
Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)
So, we have:
[tex]\frac{-12}{-6} = 2[/tex]
So, Natalie cards are: 6 card number -6
could someone pls help me with this math problem?
Answers
The distance a train travels between 2 cities is 540 miles. The train travels at a speed of 80 miles per hour. Matt set up these rates to find the time it took the train to travel between the 2 cities.
Answers
Answer:
it takes 6 hours 40 minutes
Answer: 6.75 hours
Step-by-step explanation:
540%80=6.75
I'm sorry for asking so many math questions, I just need alot of help
Answers
Answer:
20 = √3/2hypo
20×2=√3 hypo
40=√3 hypo
hypo =23
23² = 20² + x²
529= 400+x²
x²= 529-400
x²=129
x= 12.8
PLEASE HELP !! DUE SOON ! :(
Answers
Answer:
-3
Step-by-step explanation:
W = -3
X = 3
Z = -9
Y = 6
-3 + 3 = 0
-9 + 6 = -3
-3 + 0 = -3
Points g and h are located at (15,7) and (-9,7) on the coordinate plane. What is the distance between the 2 -oints
Answers
Answer:
24 unit
Step-by-step explanation:
From the question,
The 2 points is given as g (15,7) and h (-9,7)
The distance between two point is given as
d = √[(x₂-x₁)²+(y₂-y₁)²]...........................
Given: x₂ = -9, x₁ = 15, y₂ = 7, y₁ = 7
Substitute these values into equation 1
d = √[(-9-15)²+(7-7)²]
d = √[(-24)²+(0)²]
d = √576
d = 24 unit.
Simplify: 3x + 6y - (4x - 2y)
Answers
Answer:
-x + 8y
Step-by-step explanation:
The volume of a Toblerone candy bar is 275 cm3. If the candy bar is 11 cm long, what is the area of the base?
Answers
Answer:
275 - 11=264
Step-by-step explanation:
Can someone help me with Tuesday’s question??
Answers
Answer:
B
Step-by-step explanation:
In a family,the ages of children arranged from the youngest to the oldest are 2,6,y,14 and z.if the sequence of the ages is in an arithmetic progressions what is the ratio z:y
Answers
Answer:
9/5
Step-by-step explanation:
The common difference = 6 - 2 = 4
The age after 6 is 6 + 4 = 10 = y
The age after 14 is 14 + 4 = 18 = z
z/ y = 18/10 = 9/5
Change 22 metres per second to a speed in kilometres per hour.
Show your working clearly.
Answers
Answer:
79.2 km/hour
Step-by-step explanation:
1 m/sec= 3.6 km/hour 22m/sec= ? so just multiply 22 m/sec by 3.6 km/hour then the answer will be :- 79.2 km/hour
Use distributive property. 4 x 63 = ??
Answers
Answer:
(4) * (63)
252
(*￣3￣)╭
24% of 40
I need it worked out pls thank uuu:)
Answers
Step-by-step explanation:
24% is the same as 6/25
[tex] \frac{6}{25} \times 40 \\ = \frac{48}{5} = 9.6[/tex]
Answer:
9.6
Step-by-step explanation:
24% of 40 = 0.24 × 40 = 9.6
If one inch represents 3 units, what dimensions would you use to draw a rectangular field that is 20 units by 14 units?
Answers
Answer:
Step-by-step explanation:
If 1 inch = 3 units,
Therefore 1 unit = ⅓ inches, so to answer your question we have to
Multiply it by 20, to have :
20 units = 20× ⅓ = 20÷3
20 units = 6.66
Therefore we can use the same principle in that of 14 units.
14 units = (14 × ⅓) inches
14 units = 4.66 inches
PLEASE GIVE BRAINLIEST.
A circle with its dimensions, in centimeters (cm) is shown.
5 cm
What is the circumference, in centimeters, of the circle? Use 3.14 for. Round your answer to the nearest tenth
ANSWET FOR BRAINLIEST NOW
Answers
Step-by-step explanation:
add the radii to get the diameter then multipy by pi
10 (3.14) =31.4
PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE
Answers
Answer:
w = -0.5
Step-by-step explanation:
Divide the entire equation by -6.8 to cancel it out and get your "w" variable alone.
w = -0.5
Answer:
-0.5
Step-by-step explanation:
divide 3.4/-6.8= -0.5
AYUDAAAAAAAAAAAAAAAAAAAAA
si la medida de un angulo es tres veces la medida de su suplemento cual es la medida del angulo
Answers
Answer:
El ángulo lo representaremos por A
Su suplemento es 180-A
A=3(180-A)
A=540-3A
3A+A=540
4A=540
A=540/4
A=135°
Step-by-step explanation:
135=3(180-135)
135=3(45)
135=135
The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.
Let's denote the measure of the angle as x.
The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.
According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:
x = 3( 180 - x )
Now, let's solve this equation to find the measure of the angle:
x = 3( 180 - x )
x = 540 - 3x
4x = 540
x = 540 / 4
x = 135
Therefore, the measure of the angle is 135 degrees.
To know more about supplement click here :
https://brainly.com/question/19568703
#SPJ2
The question is in Spanish question in English is :
If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?
Natalie lost her job through no fault of her own. She had worked there for two years and the last year she earned $27,500. She has applied for unemployment insurance. What will her weekly benefit be?
Answers
Answer:
it should be around $527
Step-by-step explanation:
Answer:
550
Step-by-step explanation:
426 per week up to 26 weeks
A and B are independent events. Find P(A and B). P(A)=1/5, P(B)=3/7
Answers
Answer:
Step-by-step explanation:
Is negative 40 greater than 12
Answers
Answer:
No, 12 is greater than -40
Step-by-step explanation:
Answer: I think your question is: Is negative forty greater than positive 12. It is not greater. Even if it was negative 40 and negative 12 it still would not be greater. Hope this helps :)
Step-by-step explanation:
A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day.
N(t)=50t/t+4
E(t)= 70t/t+3
Which function describes the difference of the number of components assembled per day by the experienced and new employees?
A. D(t)= 10t(2t+13)/t+3
B. D(t)= 10t(2t+13)/ (t+4)(t+3)
C. D(t)= 10t(2t-13)/t+4
D. D(t)=10t(2t-13)/ (t+4)(t+3)
Answers
The difference of the number of components assembled per day by the experienced and new Employees is : D(t)= 10t(2t+13)/ (t+4)(t+3)
Here we perform subtraction :
D(t) = N(t) - E(t)
N(t) = 50t / (t+4)
E(t) = 70t / (t+3)
The difference :
D(t) = E(t) - N(t)
D(t) = [70t / (t+3)] - [50t / (t+4)]
The L.C.M of (t+3) and (t+4) is (t+3)(t+4)
[70t(t+4)] - [50t(t+3)] / (t+3)(t+4)
70t² + 280t - [50t² + 150t] / (t+3)(t+4)
[70t² + 280t - 50t² - 150t] / (t+3)(t+4)
20t² + 130t / (t+3)(t+4)
D(t) = 10t(2t + 13) / (t+3)(t+4)
The difference of the number of components assembled is : D(t)= 10t(2t+13)/ (t+4)(t+3)
Learn more : https://brainly.com/question/1166214
Answer:b
Step-by-step explanation:
plato
The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card?
Answers
Answer:
$47.86
Step-by-step explanation:
A tax is a compulsory amount levied by the government or an agency of the government on goods and services
Taxes increases the price of goods and services. Thus, the amount paid would increase by the tax rate
Amount that needs to be on the gift card = amount of tax + price of the jacket
Price of the jacket = $45
Amount of tax = percentage tax rate x price of the jacket
0.0635 x $45 = $2.86
$45 + $2.86 = $47.86
PLZ HELP ME WITH THIS, I'VE BEEN STUCK ON THIS FOR A WHILE.
You sell large and small pictures at a fair. You sell a total of 16 pictures and made a total of $350. If large pictures sell for $25 and small pictures sell for $20. How many of each did you sell?
Answers
Answer:
it is blink
Step-by-step explanation:
vgftr
Work out the value of x.
Answers
5x=180
x=180/5
x=36
A fourth grade teacher gives homework every night in both mathematics and language arts. The time to complete the mathematics homework has a mean of 10 minutes and a standard deviation of 3 minutes. The time to complete the language arts assignment has a mean of 12 minutes and a standard deviation of 4 minutes. The time to complete the mathematics and the time to complete the language arts homework has a correlation rho = -0.75. The variance of the time to complete the entire homework assignment is
Answers
Answer:
4
Step-by-step explanation:
Given that:
X = time taken to complete mathematics homework
Y= time taken to complete language homework
Standard deviation of X ; SD(X) = 3
Standard deviation of Y ; SD(Y) = 4
rho = - 0.375
rho = Cov(X, Y) / SD(X) * SD(Y)
-0.375 = COV(X, Y) / 3 * 4
COV(X, Y) = 12 * - 0.375
COV(X,Y) = - 4.5
Variance(X, Y) = V(X, Y)
V(X, Y) = V(X) + V(Y) + 2COV(X,Y)
V(X) =SD(X)² = 3² = 9
V(Y) = SD(Y)² = 4² = 16
V(X,Y) = 9 + 16 + 2(-4.5)
V(X, Y) = 16
SD(X, Y) = sqrt(V(X, Y)) = sqrt(16) = 4
Hence, standard deviation to complete entire homework, SD(X, Y) = 4
Consider the following pair of equations:
-X - y = -5
y = x + 1
If the two equations are graphed, at what point do the
lines representing the two equations intersect? (4 points)
O (-2,3)
O (3,-2)
O (3, 2)
(23)
HELP ASAP
Answers
Answer:
Yeah i don't get it i have the same problem
Answer:
It is not (−2,3).
Step-by-step explanation:
I need help solving this worksheet for corrections, I’m stuck.
Answers
Answer:
wasting ur time like u wasted mine
Step-by-step explanation:
Edward has $20,000 in a savings account that earns 13% interest per year. The interest is not compounded.How much interest will he earn in 1 year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
$
Answers
Answer:
22,600
Step-by-step explanation:
The shape of a patio is triangle without hight of 8 ft and base of 17 ft what is the cost of out door carpeting to cover the patio of the carpeting costs 6.50 per ft
Answers
Answer:
$442
Step-by-step explanation:
Given :
Height of patio, h = 8ft
Base of patio = 17 ft
Cost of carpeting = $6.50 per ft²
Area of triangular patio :
Area = 1/2 * base * height
Area = 0.5 * 17 * 8
Area of patio = 4 * 17
Area of patio = 68 ft²
Cost of carpeting :
Area of patio * contains st per ft²
68 * 6.50
= $442