Answers
Step-by-step explanation:
Given
(2x + 3 )² - (2x + 3) (x - 5)
= 4x² + 6x + 9 - ( 2x (x - 5) + 3(x - 5 ))
= 4x² + 6x + 9 - ( 2x² - 10x + 3x - 15 )
= 4x² + 6x + 9 - 2x² + 10x - 3x + 15
= 2x² + 13x + 24
Hope it will help :)
Related Questions
Write an explicit formula for An, the nth term of the sequence 6, 18, 54, ....
Answers
Answer:
[tex] a_{n} = (6){3}^{n - 1} [/tex]
Step-by-step explanation:
6, 18, 54
First, recognize that this is a geometric sequence. To find the common ratio, divide the f
second term by the first term.
18/6 = 3
Check this with the second and third term.
54/18 = 3
Your common ratio is 3.
An explicit formula for a geometric equation is:
[tex] a_{n} = a_{1} {r}^{n - 1} [/tex]
We know the first term is 6 and the common ratio is 3. Plug in these values.
[tex] a_{n} = (6) {3}^{n - 1} [/tex]
This is your formula.
Hope this helps!
Answer:
54( 1/3)n-1
Step-by-step explanation:
Answer the following for the given figure.
Answers
A. Angle 1 is congruent to angles 7,3, and 5
B. Angles supplementary to angle 3 are angles 4,6,2 and 8. Their measurements are 75. 180-105= 75
Find the equation of the line.
Use exact numbers.
WILL MARK BRAINLIEST
15 POINTS
Answers
Or
Y = 2x-9
Hope it helps have a good day
Y= 2x+-9
Mel took out a loan of $40,000 at 14 percent on March 16, 2015 which will be due on January 9, 2016. Using exact interest the amount of Mel's interest cost is:
Answers
Answer:
the interest cost is $4,679.45
Step-by-step explanation:
The computation of the interest cost is shown below:
= Loan amount × rate of interest × given no of days ÷ total no of days in a year
= $40,000 × 14% × 305 days ÷ 365 days
= $4,679.45
hence, the interest cost is $4,679.45
HELLLLPPPP PLZ.WILL GIVE BRAINLIEST
Answers
NEED HELP FRE BRAINLIST
Answers
Answer:
D. 9.8 Valentines Day!
............
x^2 + 10^2 = 14^2
x^2 = 196-100 = 96
x = sqrt(96) = 9.80 ft
ans would be D) 9.8 ft
What is the volume of this beach ball if it’s width is 24 inches? (Use 3.14 for pie)
Answers
Answer:
It should be the last one: 57,905.84 inches
Step-by-step explanation:
Kim spent 1/5 of her money at the mall. What percent of Kim’s money was spent at the mall?
Answers
Answer:
20%
Step-by-step explanation:
1/5 × 100 = 20%
Note: to change ANY fractions to percentage form, multiply with 100
Please helpppppp asap aaaaaaaaaaaaa helppp
Answers
Answer:
the table part is easy, just copy the number on the left and put the letter written on top ( for a it should be 2a, 4a, 6a and so on)
ii - 3
iii - 1/6
iv - 1/3
At the beginning of spring, Elijah planted a small sunflower in his backyard. When it was first planted, the sunflower was 25 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 7 weeks? How tall would the sunflower be after w weeks?
Answers
Answer:32
Step-by-step explanation:25+ 1(7)
Find the factors of following :
3x + y^3 z
Answers
Answer:
3x + y^3 z
3×x+y×y×y×z
there is common 1
1(3×x+y×y×y×z)
factor =1,&(3x+y³z)
20 POINTS!!!
Let f(x) = −3(2)^x and g(x) = x − 14.
Complete the table to determine the solutions of f(x) = −3(2)^x = g(x) = x − 14.
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The table values are shown in the attachment. The function values are equal when x=2.
The solution to f(x) = g(x) is x = 2.
Please show your work!
3(5x - 6) = 6(2x - 12)
Answers
Answer:
x = -18
Step-by-step explanation:
Distribute: 3*5x = 15x ; 3*-6 = -18 ; 6*2x = 12x ; 6*-12 = -72
15x - 18 = 12x - 72
Add 18 to both sides: 15x = 12x - 54
Subtract 12x from both sides: 3x = -54
Divide both sides by 3: x = -18
Answer:
x= 17.666666...
Step-by-step explanation:
3(5x - 6) = 6(2x - 12)
(3 times 5x , 3 times -6) (6 times 2x, 6 times - 12)
15x-18 = 12x -72 (multiply insides)
-12x -12x (remove 12x from right side)
3x-19 = -72 (product)
+19 = +19 (add 19 left side to remove it)
3x = 53 (product)
x = [tex]\frac{53}{3}[/tex] (divide)
x= 17.666666... (answer)
x = 17.67 (if simplify)
Which expression is equivalent to StartRoot 200 EndRoot?
A) 2 StartRoot 10 EndRoot
B) 10 StartRoot 2 EndRoot
C) 10 StartRoot 20 EndRoot
D) 100 StartRoot 2 EndRoot
Answers
Answer:
Answer
is B
10√2
Step-by-step explanation:
is: √200
Simplifying the given expression, we get:
200 = 2 x 2 x 2 x 5 x 5
⇒ 200 = (2)² x (5) ² x 2
Answer:
b
Step-by-step explanation:
Evaluate -3x+4y when x=-7 y=-10
Answers
Answer:
-19
Step-by-step explanation:
Which of the following pairs correctly matches the inventor with the invention?
Wilbur and Orville Wright: telephone
Rudolf Diesel: oil-burning internal-combustion engine
Thomas Edison: motorized airplane
Alexander Graham Bell: phonograph
Answers
Show that (5x-7)2 +140x=(5x+7)2
Answers
= 25x2 - 70x + 14 + 140x
= 25x2 + 70x + 14
= (5x+7)2
Imagine pls helpppppppp!!!!!!
Answers
Answer: 472392
Step-by-step explanation:
the pattern is three times the last number e.g.
8x3=24
24x3=72
72x3=216
Then to find the 11th term you continue this pattern.
5=648
6=1944
7=5832
8=17496
9=52488
10=157464
11=472392
What should be multiplied on both sides to solve the following equation: (3)/(4)x=(9)/(2)
Answers
Answer:
3/4x = 9....multiply both sides by 4 <==
3x = 9 * 4
3x = 36
x = 36/3
x = 12
Step-by-step explanation:
Find the equation for the line that passes through (-9,-5) that has slope - 4/7 give your answer in point-slope form. you do not need to simplify
(________)
Answers
Answer:7y=-4x+1
Step-by-step explanation:
y=mx+c
-5=-4/7(-9)+c
c=1/7
y=-4/7x+1/7
7y=-4x + 1
m s
1 6
2 12
3 ?
4 24
A shipyard produces 6 new ships each month. Let m represent the number of months and s represent the total number of ships produced. Complete the table using the function s=6m. Explain your thinking.
Answers
Answer:
18
Step-by-step explanation:
s = 6m.... (given)
We need to find the value of s when m = 3
So plug m = 3 in the above equation, we find:
s = 6*3
s = 18
Karla makes paper airplanes. Today, it takes her 32 min to make 16 paper airplanes.
She plans to make paper airplanes for 96 min tomorrow and to work at the same
rate. How many paper airplanes will Karla make tomorrow?
A
192
B
48
2
C 6
D 3
Answers
Answer:
48/b
Step-by-step explanation:
32÷16=2 so it takes two minutes per airplane. if she makes airplanes for 96 minutes at the same pace (2 min per airplane) then you need to divide 96 by 2 which gives you 48!
Answer:
48
Step-by-step explanation:
simone buys a painting for 24000 later she sells it for 60000 how much is her percentage profit
Answers
Answer:
percentage profit = 150%
Step-by-step explanation:
percentage profit = sp - cp/cp * 100
sp is the selling price = 60000
cp is the cost price = 24000
percentage profit = 60000-24000/24000 * 100
percentage profit = 36000/24000 * 100
percentage profit = 36000/240
percentage profit = 150%
8-6: MathXL for School: Practice & Problem Solving
Due 03
Challenge The radius of Circle A is 8 ft. The radius of Circle B is 2 ft greater than the radius of
Circle A. The radius of Circle C is 4 ft greater than the radius of Circle B. The radius of Circle D is
1 ft less than the radius of Circle C. What is the area of each circle? How many times greater than
the area of Circle A is the area of Circle D?
The area of Circle A is ft2.
(Simplify your answer. Type an exact answer in terms of .)
Enter your answer in the answer box and then click Check Answer.
parts
Clear All
Check Answer
remaining
Review progress
Question 8
of 9
Back
Next →
Answers
Answer:
The Area of a circle is
[tex]\pi {r}^{2} [/tex]
Therefore the Area of Circle A is
[tex]\pi {8}^{2} \\ 201.06[/tex]
Area of Circle B is
[tex]\pi {10}^{2} \\ 314.16[/tex]
Circle C
[tex]\pi {14}^{2} \\ 615.75[/tex]
Circle D
[tex]\pi {13}^{2} \\ 530.93[/tex]
An open topped fish tank has a length of 30 inches width of 10 1/2 inches and the height of 12 inches what is the volume of the water in the tank of the tank is 3/4 filled
Answers
Answer:
Step-by-step explanation:
height of water = ¾×12 = 9 inches
volume of water = 30×10.5×9 = 2,835 in³
When solving a system of linear equations what are you looking for?
Answers
(I hope this helped)
Is KLMN below a rectangle?
Answers
Solve |x + 7| < 6
A)
–13 < x < –1
B)
–1 < x < –13
C)
–13 < x and x > –1
D)
–13 < x or x < –1
Answers
Answer:
A) - 13 < x < - 1
Step-by-step explanation:
1) Rewrite the inequality without the absolute value.
[tex] - 6 < x + 7 < 6[/tex]
2) Subtract 7 from the whole equation.
[tex] - 6 - 7 < x < 6 - 7[/tex]
3) Simplify.
[tex] - 13 < x < - 1[/tex]
Therefor, the answer is the first option.
Answer:
A) –13 < x < –1
Step-by-step explanation:
|x + 7| < 6
Separate into possible cases
[tex]x + 7 < 6 \\x +7 \geq 0[/tex]
Solve the inequalities
[tex]x < - 1, x \geq -7\\x > -13, x < -7[/tex]
Find the intersections
[tex]x = (-7, -1)\\x = (-13, -7)[/tex]
Find the union
Answer: A) –13 < x < –1
Classify the coordinates given below into different quadrants according to their location.
(-3,7)
(-2,-2)
(3,-7)
(1,8)
(-6,-11)
(-6,4)
Quadrant ll
Quadrant l
Quadrant lll
Quadrant lV
Answers
(1,8)
Quadrant 2
(-3,7)
(-6,4)
Quadrant 3
(-2,-2)
(-6,-11)
Quadrant 4
(3,-7)
Copy the problems on to your paper. Use your notes as reference.
Simplify each of the following:
Answers
Answer:
1. x⁴³/³⁵
2. 1/x⁶
3. x⁴/2
Step-by-step explanation:
1. ⁷√x³. ⁵√x⁴
The above expression can be simplified as follow:
Recall:
ᵐ√aⁿ = aⁿ/ᵐ
⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x³/⁷ × x⁴/⁵ = x⁽³/⁷ ⁺ ⁴/⁵⁾ = x⁴³/³⁵
Therefore,
⁷√x³. ⁵√x⁴ = x⁴³/³⁵
2. x¯³ / x⁵x¯²
The above expression can be simplified as follow:
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³
Thus,
x¯³ / x⁵x¯² = x¯³ / x³
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
x¯³ / x³ = x¯³ ¯ ³ = x¯⁶
Recall
a¯ⁿ = 1/aⁿ
x¯⁶ = 1/x⁶
Therefore,
x¯³ / x⁵x¯² = 1/x⁶
3. 5(x⁴)³ / 10x⁸
The above expression can be simplified as follow:
Recall:
(aⁿ)ᵐ = aⁿ×ᵐ
5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
5x¹² / 10x⁸ = (5/10)x¹² ¯ ⁸ = 1/2 x⁴ = x⁴/2
Therefore,
5(x⁴)³ / 10x⁸ = x⁴/2