This question was not properly written
Complete Question
Choose the letter of the correct answer Write the chosen letter on a separate sheet of
1. The measure of the volume of a rectangular solid is a²b - 63b²-9ab³? Find the dimensions of the
solid
A.(a + 3b). (a - 3b), and (ab + 7)
C. (a + 3b). (3a - 3b), and (ab + 3 )
B.(3a+ 3b). (a - 3b), and (ab + 7)
D. (a + 3b). (a-3b), and (ab + 3)
2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than
times its width. If the floor area is to be 256 square meters, what must be the length and width of the building?
A.6 meters long and 16 meters wide C. 8 meters long and 32 meters wide
B.30 meters long and 10 meters wide D. 32 meters long and 8 meters wide
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the weidin
of the room?
A. 10 units
B. 11 units
C 12 units
D. 13 units
4. One of the factors of 2b2 + 15b-50 is b +10. What is the other factor?
A.2b - 10
B. 2-5
C. 2b +5
D. 2b + 10
5. The area of the nachos is 15x² - 10x square centimeters. If the base is 5x centimeters, which is the length of
the height?
A. 3x - 2 cm.
B. 3x + 2 cm
C. 6x-4 cm
D. 6x + 4 cm
Answer:
1 A.(a + 3b). (a - 3b), and (ab + 7)
2 D. 32 meters long and 8 meters wide
3 A. 10 units
4 B. 2b -5
5. C. 6x - 4 cm
Step-by-step explanation:
Choose the letter of the correct answer Write the chosen letter on a separate sheet of
1. The measure of the volume of a rectangular solid is a²b - 63b²-9ab³? Find the dimensions of the
solid
We pick the options one after the other
A.(a + 3b). (a - 3b), and (ab + 7)
(a² -3ab + 3ab -9b²)(ab + 7)
(a² - 9b²) (ab + 7)
a²b - 9ab³ - 63b²
C. (a + 3b). (3a - 3b), and (ab + 7 )
(3a² - 3ab + 3ab -9b³)(ab + 3)
(3a² - 9b³)(ab + 3)
3a³b + 21ab² - 9b⁴a - 27b³
B.(3a+ 3b). (a - 3b), and (ab + 7)
(3a² - 9ab + 3ab - 9b²)(ab + 7)
(3a² - 6ab - 9b²)(ab + 7)
3a³b +21a² - 6a²b² + 42ab - 9ab³ - 63
D. (a + 3b). (a-3b), and (ab + 3)
(a² -3ab + 3ab - 9b²)(ab + 3)
(a² - 9b²) (ab + 3)
a³b + 3a² - 9ab³ - 27b²
Therefore, option A.(a + 3b). (a - 3b), and (ab + 7) is the correct option
2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than 3 times its width . If the floor area is to be 256 square meters, what must be the length and width of the building?
Area of a rectangle = Length × Width
Length of the building is to be 8 meters more than times its width.
= Length = 3W + 8
Area = 256m²
Hence:
256 =( 3W + 8 )× W
256 = 3W² + 8W
= 3W² + 8W - 256
Factorise
= 3W(W - 8) + 32(W - 8)
= (3W + 32) ( W - 8)
W - 8 = 0
W = Width = 8m
Length = 3W + 8
Length = 3(8) + 8
= 24 + 8
= 32m.
D. 32 meters long and 8 meters wide
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the width
of the room?
A. 10 units
B. 11 units
C 12 units
D. 13 units
Area = Length × Width
The width is 3 meter less than its length
W = L - 3
Area = 130 square units
Hence:
130 = L (L - 3)
130 = L² - 3L
L² - 3L - 130
= L² + 10L - 13L - 130
= L(L + 10) - 13(L + 10)
= (L - 13) (L + 10)
L - 13 = 0
L = Length = 13 units
L + 10 = 0
L = -10 units.
W = L - 3
L = 13 units
W = 13 - 3
W = 10 units
Therefore, the width of the room is 10 units
A. 10 units
4. One of the factors of 2b² + 15b-50 is b + 10. What is the other factor?
A.2b - 10
B. 2b -5
C. 2b +5
D. 2b + 10
2b² + 15b -50
One of the factors is b +10.
We factorise
2b² + 15b - 50
= 2b² + 20b - 5b - 50
= 2b(b + 10) - 5(b + 10)
= (2b - 5) (b + 10)
The other factor is 2b - 5
B. 2b -5
5. The area of the nachos is 15x² - 10x square centimeters. If the base is 5x centimeters, which is the length of
the height?
A. 3x - 2 cm.
B. 3x + 2 cm
C. 6x-4 cm
D. 6x + 4 cm
Nachos are triangular in shape
Area of a triangle = 1/2 × Base × height
A = 1/2 bh
A = bh/2
2A = bh
h = 2A/b
The area of the nachos is 15x - 10x square centimeters. If the base is 5x centimeters,
h = 2(15x² - 10x)/5x
h = 30x² - 20x/5x
h = 30x²/5x - 20x/5x
= 6x - 4 cm
the length of the height is:
C. 6x - 4 cm
please help me i really dont understand
Answer:
48
Step-by-step explanation:
Divide these polynomials.
(9x^3 + 9x^2 + 5x + 1) / (3x + 1)
Answer:
3x^2+2x+1
Step-by-step explanation:
Divide 9x^3+9x^2+5x+1 by 3x+1
Easy.
Please help!! I don’t know it
what is the decimal multiplier to increase by 2.5%
solve the equation. -3x^2=12x+12
a.) no real solution
b.) x= -2
c.) x= 2
d.) x= -2 and x=2
X(x+5)+7(x+5)
Help please its for algebra class thanks for your support and your help thanks a lot
Answer:
x^2+12x+35Step-by-step explanation:
Let's simplify step-by-step.
x(x+5)+7(x+5)
Distribute:
=(x)(x)+(x)(5)+(7)(x)+(7)(5)
=x^2+5x+7x+35
Combine Like Terms:
=x^2+5x+7x+35
=(x^2)+(5x+7x)+(35)
=x^2+12x+35
Answer:
=x^2+12x+35
2x -3 >7 solve please
Answer:
4
x
2
−
28
x
+
49
Step-by-step explanation:
Its Not The Answer But Its Your Question Simplified
Answer:
I don't know if this is correct but it probably is but I got x=5
Step-by-step explanation:
you write the equation and put the line through the sign, and cross out the 3. Then you are going to add 3 to the seven which will then equal 2x > 10. Then you cross out the 2 and divide both side with the 2. and 10 divided by 2 is 5 so therefore x equals 5.
PLEASE ANSWER AS SOON AS POSSIBLE
The cost of 4 peaches is $4.96. What is the constant of proportionality that relates the cost in dollars, y, to the number of peaches, x? Write the corresponding linear equation.
Ryan earned a yearly income of $67,000, he needed to pay an income tax of 17% . What was the amount of income tax he paid
Answer:
11,390
Step-by-step explanation:
67,000 x 17%= 11,390
decrease £240 by 10%
Answer:
216
Step-by-step explanation:
240 - 240(.10)
= 240 - 24
= 216
Alternative method:
240(.90) = 216
At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free?
x – 0.3 = 4.9 and x – 0.3 = –4.9
x + 0.3 = 4.9 and x + 0.3 = –4.9
x + 4.9 = 0.3 and x + 4.9 = –0.3
x – 4.9 = 0.3 and x – 4.9 = –0.3
Please Help <3
Answer:
x – 4.9 = 0.3 and x – 4.9 = –0.3
Answer:
d
Step-by-step explanation:
Review the steps in the derivation of the tangent sum identity. The steps are not in order.
A 2-column table with 4 rows. Column 1 has entries 1, 2, 3, 4. Column 2 has entries StartFraction sine (x + y) Over cosine (x + y) EndFraction, StartStartFraction StartFraction sine (x) cosine (y) Over cosine (x) cosine (y) EndFraction + StartFraction cosine (x) sine (y) Over cosine (x) cosine (y) EndFraction OverOver StartFraction cosine (x) cosine (y) Over cosine (x) cosine (y) EndFraction minus StartFraction sine (x) sine (y) Over cosine (x) cosine (y) EndFraction EndEndFraction, StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction, StartFraction sine (X) cosine (y) + cosine (x) sine (y) Over cosine (x) cosine (y) minus sine (x) sine (y) EndFraction.
Which list shows the steps in the correct order?
I --> II --> IV --> III
I --> IV --> II --> III
III --> I --> II --> IV
III --> I --> IV --> II
Answer:
The answer is B: I IV II III
Step-by-step explanation:
Just did it
The sequence for the derivation of tangent sum identity is option I --> IV --> II --> III.
What is trigonometric identity?The trigonometric identities is the relationship between the different trigonometric ratios. These trigonometric identities are the basic formulae that are true for all the values of the reference angle.
For the given situation,
The derivation for the tangent sum identity is given in the table below.
The derivation follows the steps,
[tex]\frac{sin(x+y)}{cos(x+y)}[/tex]
we know that, [tex]sin(x+y) = sinx cosy + cosx siny[/tex] ,
[tex]cos(x+y)=cosxcoxy - sinxsiny[/tex] and
[tex]\frac{sinx}{cosx}=tanx[/tex]
⇒ [tex]\frac{sinxcosy + cosxsiny}{cosxcosy-sinxsiny}[/tex]
Divide each term by [tex]cosxcosy[/tex]
⇒ [tex]\frac{\frac{sinxcosy}{cosxcosy} +\frac{cosxsiny }{cosxcosy} }{\frac{cosxcosy}{cosxcosy} -\frac{sinxsiny}{cosxcosy} }[/tex]
⇒ [tex]\frac{tanx+tany}{1-tanxtany}[/tex]
Hence we can conclude that the derivation of tangent sum identity is option I --> IV --> II --> III.
Learn more about trigonometric identity here
https://brainly.com/question/15858604
#SPJ2
Given f (x) = -5x + 1, find f (6)
Answer:
x=6(given)
-5x+1
-5*6+1
-30+1
-29
hope this answer helps u
pls mark it as brainliest
help meee please :))))
Answer:
90°
Step-by-step explanation:
Does anyone know the answer to both of these questions??
What is the Nature of Roots of x^2+9x+14=0?
Answer:
(x+7)(x+2)
Step-by-step explanation:
If we multiply it out we get:
x * x = x^2
7 * x = 7x
2 * x = 2x
7 * 2 = 14
Add it all, we get: x^2 +9x+14
Therefore these are the factors
can someone please help me with this
Answer:
m<B=74°
Step-by-step explanation:
3x-23+2x-12=180
5x-35=180
5x=180+35
5x=215
x=215÷5
x=43
m<B=2x-12=2(43)-12=86-12=74
answer:
b= 10x i pretty sure
Step-by-step explanation:
Which conversions go from a smaller unit to a larger unit? Select all that apply.
centimeters to millimeters
decimeters to meters
hectograms to kilograms
liters to centiliters
Answer:
decimeters to meters
Step-by-step explanation:
There are 10 decimeters in a meter.
Answer:
decimeters to meters
hectograms to kilograms
Step-by-step explanation:
The circumferences of earth is about 25,000 miles which is the circumference written in scientific notation
Answer:
2.5*10^4
I hope this helps
Answer:
2.5 x 10^4
this is a filler. I hope this helps though :)))))
what is the slope of the line?
Answer:
I am pretty sure it's -3/1, correct me if I am wrong!
Step-by-step explanation:
Answer:
-3/1
Step-by-step explanation
You see where the line meets the corners of the squares on the graph. The equation for slope is m=rise over run. You rise three squares, and go to the right one.
2 2/3 as a improper fraction
Answer:
8/3
Step-by-step explanation:
Answer: 8/3
Step-by-step explanation: if you write 2 has a fraction with the denominator being 3 you will get 6/3 then you can add 6/3+2/3=8/3
the slopes of two lines are 2 and -2. because of this we can conclude these two lines are which of the following?
Answer:
they also can be considerd perpendicular because they interset and make a 90 degree/right angle
Step-by-step explanation:
Can someone do this for me ill give you brainliest
Answer:I think you make somthing like i think task one would be lets say (Av)task two would be like(Bx) and it would all end out like this C
Av+Bx=C
Step-by-step explanation:
Pls help me with this question
Answer:
option C, x=1
Step-by-step explanation:
[tex]2^{9x-3} = 8^{3-x}[/tex]
[tex]2^{9x-3} = (2^3)^{3-x}[/tex]
[tex]2^{9x-3} = 2^{9-3x}[/tex]
cut 2 from LHS and RHS you will get,
9x-3 = 9-3x
9x + 3x = 9 + 3
12x = 12
x = 12/12
x = 1
therefore, option C is the correct option
hope it helps you!
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{x = 1}}}}[/tex]
Option C is correct.
Step-by-step explanation:
[tex] \text{First ,\: let's \: know \: about \: exponential \: equation} : [/tex]
Exponential EquationAn equation in which variables appears as an exponent of a base is known as exponential equation. The following axioms are useful while solving the exponential equations :
If [tex] \sf{ {a}^{x} = {a}^{b} }[/tex] , then x = bIf aˣ = 1 , then aˣ = a⁰ and x = 0Thus , while solving an exponential equation, we should simplify the equation till the equation is obtained in the form [tex] \sf{ {a}^{x} = {a}^{b}} [/tex] or aˣ = 1 .
Now, let's start to solve :
[tex] \sf{ {2}^{(9x - 3)} = {8}^{( 3 - x)}} [/tex]
➸ [tex] \sf{ {2}^{9x - 3} = {2}^{3(3 - x)} }[/tex]
➸ [tex] \sf{ {2}^{9x - 3} = {2}^{9 - 3x}} [/tex]
➸ [tex] \sf{ \cancel{2} ^{ \: 9x - 3} = \cancel{2} ^{ \: 9 - 3x} }[/tex]
➸ [tex] \sf{9x - 3 = 9 - 3x}[/tex]
➸ [tex] \sf{9x + 3x = 9 + 3}[/tex]
➸ [tex] \sf{12x = 12}[/tex]
➸ [tex] \sf{ \frac{12x}{12} = \frac{12}{12}} [/tex]
➸ [tex] \boxed{ \sf{x = 1}}[/tex]
The value of x is 1 .
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
Finn looked at 2 websites every 18 hours. At that rate, how long, in
hours, will it take to look at 4 websites? Plz help
Answer: 1 day, 12 hours (36 hours)
Given that Finn looked at 2 websites every 18 hours, let's solve the problem.
Multiply by 2, because he looks at 4 websites, and 2 x 2 = 4.
18 x 2 = 36.
The answer should be 36. Hope this helps you!
Determine the constant of variation for the direct variation given.
R varies directly with S. When S is 16, R is 80.
1/5
5
16
Answer:
The constant of variation is k=5
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
[tex]y=k\cdot x[/tex]
Where k is the constant of proportionality.
We know R varies directly with S. Their relationship is:
[tex]R=k\cdot S[/tex]
We also have when S=16, R=80. Thus:
[tex]80=k\cdot 16[/tex]
Solving for k:
[tex]k=80/16=5[/tex]
The constant of variation is k=5
i need help with this please
Answer:
Yes because the y value is 0 thus the ordered pair is located on the x - axis
Step-by-step explanation:
What is the value of x
Answer:
98 degrees
Step-by-step explanation:
First calculate the entire triangles angles:
180 - 53 - 45 = final angle of triangle
82 = final angle of triangle
Using the straight line rule for angles, x and the inner angle must equal to 180 degrees:
180 - 82 = x
98 = x
Angle x is 98 degrees.
the empire state building weighs about 7.3X10 to the 8 power (pounds) the world trade center building weighs about 88,200,000 pounds. what’s is total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form aX10 to the power of B, what are the values of A and B?
Answer:
which principle prevents a brach from abusing its powerwhich principle prevents a brach from abusing its power
Step-by-step explanation:
Marcos is baking a cake. He has a recipe for a large cake that calls for 6 cups of flour, 2 cups of sugar, and 1 cup of butter. Marcos only has ½ cup of sugar, so he's going to make a smaller cake. How much flour and butter should he use in his recipe?
Answer:
3/2 cups of flour
1/4 cups of butter
Step-by-step explanation:
Cups of flour = 6
Cups of sugar = 2
Cup of butter = 1
Marcos only has ½ cup of sugar, so he's going to make a smaller cake.
Cups of sugar for big cake = 2
Cups of sugar for small cake = 1/2
Ratio of cups of sugar for big cake to small cake is
= 2 : 1/2
= 2 ÷ 1/2
= 2 × 2/1
= 4
This means to make smaller cake, all recipes should be divided by 4
Flour for small cake = flour for big cake / 4
= 6 / 4
= 3/2 cups of flour
= 1.33
Butter for small cake = Butter for big cake / 4
= 1 / 4 cups of butter
= 0.25