Answer:
9x^2+33x+24
Step-by-step explanation:
The factors (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
To express (3x + 3)(3x + 8) as a trinomial, we can use the distributive property and FOIL (First, Outer, Inner, Last) method.
First, we multiply the first term of each binomial (3x) with the first term of the other binomial (3x), which gives us (3x)(3x) = 9x².
Next, we multiply the first term of one binomial (3x) with the second term of the other binomial (8), which gives us (3x)(8) = 24x.
Then we multiply the second term of one binomial (3) with the first term of the other binomial (3x) , which gives us (3)(3x) = 9x
Finally, we multiply the second term of each binomial (3) with the second term of the other binomial (8) , which gives us (3)(8) = 24
Now we add all the products to get the trinomial
9x² + 24x + 9x + 24 = 9x² + 33x + 24
Therefore, (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.
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The sides of a rectangle are in the ratio 4:7.
If its longer side is 31.5 in., find the shorter side, the perimeter, and the area of this rectangle.
Thank you!
Answer:
58586
Step-by-step explanation:
gckhgcklghckhgchkc
can some one help me please ?i’ll give the most brainlyest
Answer:
Given that m∠DEF = 142, m∠GEF = (9x - 8)°, and m∠DEG = (3x + 6),
GEF + DEG = DEF
[tex]9x - 8 + 3x + 6 = 142\\\\12x - 2 = 142\\\\12x = 144\\\\x = 12[/tex]
which expression is equivalent to this polynomial expression? (2x2-3y2)(4x4+6x2y2+9y4)
Answer:
8x^6-27y^6
Step-by-step explanation:
simplify the expression
There is a proportional relationship between the area of a wall and the amount of paint needed to cover it.
A. What is the constant of proportionality for that relationship? Explain.
Answer:
Constant of proportionality [tex] = \frac{1}{400} [/tex]
Step-by-step explanation:
A. The constant of proportionality can be calculated as the ratio of y to x. In this case, y = amount of paint, while x = the area of the wall
The area of the wall determines the amount of paint needed to cover the wall.
Constant of proportionality, k = y/x.
Any given pair cam be used as y and x to find k.
Thus, using (100, ¼),
[tex] k = \frac{\frac{1}{4}}{100} = \frac{1}{4}*\frac{1}{100} [/tex]
Constant of proportionality [tex] = \frac{1}{400} [/tex]
This means that as area of the wall increases, amount of paint increases and the ratio between them would always be [tex] \frac{1}{400} [/tex].
PLSSS HELPPPPP ASSAAAPPPP
Answer:
∡BEN=122
x=17
Step-by-step explanation:
Since you know that when two sides are congruent like this then the to angles are congruent then you know that angle BNE equals 29.
Once you know that since we know that 180 is the sum of all three angles set an equation like this:
180=29+29+(11x-65)
Take off parentheses since you can't simplify in them.
180=29+29+11x-65
Combine like terms.
180=11x-7
Solve for x.
187=11x
x=17
Plug that in to (11x-65) to find angle BEN
angle BEN = 11(17)-65
angle BEN=122
How many combinations are possible if you select one flavor of ice cream and one
topping?
Flavors Toppings
vanilla
chocolate
strawberry
fudge
marshmallow
caramel
Answer:
9
Step-by-step explanation:
Write the equation of the line that passes through (-4,2) and (12,6)
Answer:
y=[tex]\frac{1}{4}[/tex]x+3
Explanation:
you have to use the formula y₂-y₁/x₁-x₂ in order to find your slope and what ever you get from that is your slope
may somone give me the answers with question 3 4 and 5. one BRAINLIEST IF SOMONE CAN ANSWER AND FIVE STAR
Answer:
Well, we need a definition or length/width of the figure of it first, let me see what I can find, I'll leave it in my replies.
Step-by-step explanation:
so basically the writing says to draw the lines indicated by arrows and include the markings on the last one because they indicate that all the sides are equal in length
;P hope this helps!
Piano lessons with ms bennett cost $30 for 3/4 of an hour what is ms bennetts hourly rate?
Answer:
im not sure but I think its 40
Step-by-step explanation:
bc 3/4 is $30 so 4/4 is an hour then she each would be $10 so 1/4 is 10 then 2/4 is 20 then 3/4 is 30 then 4/4 is 40
Answer:
$40 per hour
Step-by-step explanation:
3/4 of 1 hour = 3/4 of 60 min = 45Set up a proportion: [tex]\frac{30}{45} = \frac{x}{60}[/tex] Cross multiply, then divide: 30 × 60 = 1800, 1800 ÷ 45 = 40So, Ms. Bennett's hourly rate is $40 per hourI hope this helps!
a softball team wants to sell $8,500 worth of tickets for its upcoming season. if each ticket cost $18 how many tickets will the team have to sell to reach their goal?
Answer:
473 tickets
Step-by-step explanation:
8,500/18=472.2222222 but, since you can’t sell only part of a ticket, you’ll round up to get 473 tickets.
Solve for 8. 0.5s +1 = 7 + 4.5s
Answer:
s=-1.5
Step-by-step explanation:
We need to isolate the variable.
1. Subtract 4.5s from both sides
2. We now have the equation -4s+1=7
3. Subtract 1 from both sides
4. -4s=6
5. Divide both sides by -4
6. The answer would be s=-1.5
Watch help Video
Combine like terms.
3y +6+ 2y - 3 - 6y^2+ 7y^2– 4
Answer:
Submit Answer
Answer: 5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Thank you!
Step 1: Collect like terms.
(3[tex]y[/tex] + 2[tex]y[/tex]) + (6 − 3 − 4) + (-6[tex]y^{2}[/tex] + 7[tex]y^{2}[/tex])
Step 2: Simplify.
5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]
~I hope I helped you! :) Good luck!~
Answer:
Step-by-step explanation:
Here you go mate
step 1
3y +6+ 2y - 3 - 6y^2+ 7y^2-4 equation
step 2
3y +6+ 2y - 3 - 6y^2+ 7y^2-4 simplify
3y+6+2y+(-3)+(-6y^2+)7y^2+(-4)
step 3
3y+6+2y+(-3)+-6y^2+7y^2+(-4) combine the terms that are alike
step 4
(-6y^2+7y^2)+(3y+2y)+(6+(-3)+(−4))
answer
y^2+5y+−1
I really need help with this ?
Answer:
j
Step-by-step explanation:
2.10 grater than 2.09
true or false
Answer:
2.10 is greater than 2.09
Step-by-step explanation:
because 2.10 has more equation than 2.09
Answer:
2.10 is GREATER than 2.09 so **TRUE**
Step-by-step explanation:
hope this helps </3
A hoodie that regularly costs $50 is on sale for $38.
What is the percent decrease in the price of the hoodie?
Answer:
76%
Step-by-step explanation:
38 multiplied by 100 = 3,800
3,800 divided by 50 = 76
Therefore the answer is 76%
Select the line segment.
A.
B.
C.
D
A rectangle or plot of land has an area of 8/3 square miles and a length of 3/5 of a male What is the width of the plot of land in Miles?
Maximize B=XY^2 , where x and y are positive numbers such that X+Y^2=5.
Without using any calculus:
If x + y² = 5, then y² = 5 - x, so that
b = x y² = x (5 - x) = 5 x - x²
Complete the square to get
b = 25/4 - (x - 5/2)²
Then b gets a maximum value of 25/4 when x = 5/2.
Simple calculus method:
With b = 5 x - x², differentiate b with respect to x and set the derivative equal to 0 to solve for critical points:
db/dx = 5 - 2 x = 0 ==> x = 5/2
Take the second derivative to determine whether b is concave or convex:
d²b/dx² = -2
The second derivative is negative, which means b is concave with respect to x, and this indicates x = 5/2 is the site of a local maximum, which is b (5/2) = 25/4.
More complicated calculus method:
Lagrange multipliers. The Lagrangian is
L (x, y, λ) = x y² - λ (x + y² - 5)
where we assume λ ≠ 0.
Take its derivatives:
dL/dx = y² - λ
dL/dy = 2 x y - 2 λ y
dL/dλ = x + y² - 5
Set each derivative equal to 0 to find the critical points. The first equation tells us y² = λ, and the second equation tells us x = λ, so
x + y² - 5 = 2 λ - 5 = 0
Solving this gives λ = x = y² = 5/2, so that b has an extreme value of
b = (5/2) (5/2) = 25/4
Deciding whether this is a maximum or minimum comes down to computing the Hessian determinant at the critical value. The Hessian is
[tex]H(x,y)=\begin{bmatrix}\dfrac{\partial^2b}{\partial x^2}&\dfrac{\partial^2b}{\partial x\partial y}\\\\\dfrac{\partial^2b}{\partial y\partial x}&\dfrac{\partial^2b}{\partial y^2}\end{bmatrix}=\begin{bmatrix}0&2y\\2y&2x\end{bmatrix}[/tex]
with determinant |H (x, y)| = -4 y². At the critical point, the determinant is -10 < 0, which indicates a maximum value of 25/4.
Can someone help me figure out what are the two checkpoints?
Answer:
13,000 ft.
Step-by-step explanation:
X -------10960----------C---------------D---------------Y
The entire race (from X to Y) is 7 miles. There are 5,280 ft. in one mile, so 7 miles is 36960 ft.
If we subtract 10,960 from 36,960, then we get the distance from C to Y.
36960-10960 = 26000
They tell you D is at the midpoint between C and Y
So if we divide 26,000 by 2, then we know the distance from C to D and from D to Y.
26000/2 = 13000
The checkpoints are C and D, so the distance between them is 13,000 ft.
Please help ASAP!! Will give brainliest if correct!!
Given that SR QT and SQ ≈ ST, find the perimeter of QST.
A. 22
B. 27
C. 30
D. 32
Answer:
b
Step-by-step explanation:
area and percent .
Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
Divide.
−4 1/3÷−2 3/5
123
145
215
235
Answer:
1.66666666667
Step-by-step explanation:
2.) Your parents drove 300 miles in 6 hours. At what speed (miles per hour) were they driving?
Answer:
50 mph
Step-by-step explanation:
300 / 6 = 50
you can check this by setting up the equation,
6 x 50 = 300
So with this being said, you can conclude that your parents are driving a 50 miles per hour.
Complete the multiplication table
Answer:
the top empty box is 5 the second down box is 4 the box under 6 is 8
Step-by-step explanation:
) Ralph's Catering sells platters of spicy chicken wings. Customers can choose from four different platter sizes. The graph shows the price of these platters. Chicken Wing Platters ) is the relationship between the price and the number of chicken wings proportional? Why or why not? 100 It is proportional because the price of 1 chicken wing is the same for each quantity ordered. Price (dollars) It is proportional because the points go through the origin. It is not proportional because the points lie on a straight line. 10 20 30 40 50 60 70 80 90 100 Chicken Wings It is not proportional because the price of 1 chicken wing is not the same for each quantity ordered.
Answer:
t is not proportional because the price of of 1 chicken wing is not the same for each quantity ordered.
Step-by-step explanation:
Answer:
It is not proportional because the price of 1 chicken wing is not the same for each quantity ordered
Step-by-step explanation: i just got it right on the iready quiz
Are 18:3 and 6:1 equivalent radios?
Answer:
Yes
Step-by-step explanation
6:3 multiply by 3 is equal to 18:3
Answer:
Yes
Step-by-step explanation:
This is because 6x3 is 18 for the 18:3 and 1x3 is 3 in the 18:3. You can also think it this way, 18/3 and 6/1 if you divide both you get an answer of 6 so they both are the same meaning making them equivalent
H(x)=4x+3 what is the coordinate pair for h (1) ?
Answer:
(1,7)
Step-by-step explanation:
SImply replace x by (1) in the expression to find the value of h:
h(1) = 4 (1) + 3 = 4 + 3 = 7
so for x = 1, h is 7 , which is written as: (1, 7)
What is the slope of the line represented by the equation 2x+3y= -12?
-3/2
-2/3
2/3
3/2
Helen walked 4 blocks north of her house. Then she walked 3 blocks south.
Which statement is true?
A. The sum 4 + (–3) = 1 means that Helen is 1blocks south of her house.
B. The sum 4 + (–3) = 1 means that Helen is 1blocks north of her house.
C. The sum 4 + 3 = 7 means that Helen is 7blocks south of her house.
D. The sum 4 + 3 = 7 means that Helen is 7blocks north of her house.
Answer:
b
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
The two-way table below describes the car rental habits of sales representatives attending a conference.
What percentage of representatives staying at least two nights rented a car?
20%
44%
55%
79%
Answer:
44 bro
Step-by-step explanation:
The percentage of representatives staying at least two nights rented a car is 44%.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Given is a two way table.
From the table, the number of representatives staying at least 2 nights rented a car is 11.
Total number of representatives staying at least two nights = 14 + 11 = 25
Percentage = (11 / 25) × 100
= 0.44 × 100
= 44%
Hence the percentage for the required number is 44%.
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