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Lilit [14]
3 years ago
7

(4x+3)+(x+4) Pre-Algebra -Simplify

Mathematics
1 answer:
Andru [333]3 years ago
3 0
The answer is:
4x^2+19x+12
1. 4x X x =4x^2
2. 4x X 4=16x
3. 3 X x= 3x
4. 3 X 4= 12
5. 4x^2 + 16x + 3x + 12 = 4x^2+19x+12
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Can anyone help me solve this? Please and thank you!
AveGali [126]

It's the sum of a geometric sequence.

Let's rewrite it a bit:

\displaystyle\\\sum_{n=1}^{10}8\left(\dfrac{1}{4}\right)^{n-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot \left(\dfrac{1}{4}\right)^{-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot 4=32\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n

And now let's calculate this sum \displaystyle \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n:

S_n=\dfrac{a(1-r^n)}{1-r}\\\\a=\dfrac{1}{4}\\n=10\\r=\dfrac{1}{4}\\\\S_{10}=\dfrac{\dfrac{1}{4}\cdot\left(1-\left(\dfrac{1}{4}\right)^{10}\right)}{1-\dfrac{1}{4}}=\dfrac{\dfrac{1}{4}\cdot\left(1-\dfrac{1}{1048576}\right)}{\dfrac{3}{4}}=\dfrac{\dfrac{1048575}{1048576}}{3}=\dfrac{1048575}{3145728}=\\=\dfrac{349525}{1048576}

Now let's calculate the initial sum:

\displaystyle 32\cdot  \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n=32\cdot \dfrac{349525}{1048576}=\dfrac{349525}{32768}\approx10.67

8 0
2 years ago
Find the sum of the measures of the interior angles of the indicated convex polygons.
likoan [24]

Answer:

1. 17 - gon

sum of the of measures of interior angles = 180(n-2).....(formula)

here n = 17

therefore, 180(17-2)

= 180(15)

= 2700 degrees

2] 24 - gon

sum of the of measures of interior angles = 180(n-2).....(formula)

here n = 24

therefore, 180(24-2)

= 180(22)

= 3960 degrees.

7 0
3 years ago
If 28% of a sum is $100.80, what is the sum?
lbvjy [14]
Call the sum S. Then, you can use the definition of percentage to obtain an equation to find the value of S: 1) 28% = 28 / 100; 2) 28% of x = (28/100)x; 3) that is equal to $100.80 => (28/100)x = 100.8 => x = 100.8 * 100 / 28 => x = 360. You can verify that the 28% of 360 is 100.80: 360 * 28/100 = 100.80. <span>Then, the answer is $360.</span>
7 0
3 years ago
James buys a shirt and a pair of of socks on sale for 25% off. If the price of the shirt before the sale was $24 and he spent a
Eva8 [605]

Answer:

8 dollars

Step-by-step explanation:

Define the variable X as:

X = Original Price of the Socks, in units dollars

Then,

(X + 24)(100% - 25%) = 24

(X + 24)(0.75) = 24

X = (24/0.75) - 24 = 8 dollars.

7 0
3 years ago
Question 3 / 6 Which of the following is the correct step for solving -2x = 14?​
igor_vitrenko [27]

Answer:

Step-by-step explanation:

-2x = 14

x = -14/2

x= -7

PLZ MARK AS BRAINLIEST

3 0
3 years ago
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