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1 year ago

Complete the square. x² +14 x+ ____

Mathematics

1 answer:

fredd [130]1 year ago

5 0

The complete expression of the given quadratic function is:

x² + 14x + 49

<h3>What is an algebraic expression?</h3>

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

To solve this problem we must complete square in the expression, it is necessary to note that perfect square trinomial has the form of:

(a + b)² = a² + 2ab + b²

x² + 14x + ?

where:

x² = a²
14x = 2ab
b = ?

Substitute and find b

14x = 2xb

2b = 14

b = 7

Let's complete the square

x² + 14x + 7²

x² + 14x + 49

Learn more about algebraic expression in:

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Use the properties of logarithms<br> Rewrite the following in the form log(c).<br> 5log(2)

Alecsey [184]

Answer: $5\log(2)=\log(2^5)$

Step-by-step explanation:

According to the properties of logarithms, we have

To rewrite : $5\log (2)$ in the form of log(c).

Therefore,

$\leq 5\log(2)=\log(2^5)$ [ $\because\ n\log(m)=\log(m^n)$ ]

Hence, $5\log(2)=\log(2^5)$ .

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3 years ago

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siniylev [52]

It’s H. You have to set up an equation: y=10x-11. -11 is the starting value, so you put it at the end. You add ten each time, so you put 10x. Just plug in 100 for x, and you’ll get 989

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3 years ago

Plz help what the answer

Luba_88 [7]

Answer:

Step-by-step explanation:

Divide 140 by 10. That will get you 14. 10% of 140 is 14

8 0

3 years ago

Read 2 more answers

Y = x + 4 <br> 2x - 3y = -13

pashok25 [27]

Answer:

(1,5)

Step-by-step explanation:

2x-3(x+4)=-13 y=1+4

2x-3x-12=-13 y=5

-x-12=-13

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3 years ago

Find the SUm of the infinite series.

givi [52]

I'll do problem 13 to get you started.

The expression $4\left(\frac{2^n}{7^n}\right)$ is the same as $4\left(\frac{2}{7}\right)^n$

Then we can do a bit of algebra like so to change that n into n-1

$4\left(\frac{2}{7}\right)^n\\\\4\left(\frac{2}{7}\right)^n*1\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{0}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1-1}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1}*\left(\frac{2}{7}\right)^{-1}\\\\4*\left(\frac{2}{7}\right)^{1}\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{-1}\\\\\frac{8}{7}\left(\frac{2}{7}\right)^{n-1}\\\\$

This is so we can get the expression in a(r)^(n-1) form

a = 8/7 is the first term of the geometric sequence
r = 2/7 is the common ratio

Note that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).

We'll plug those a and r values into the infinite geometric sum formula below

S = a/(1-r)

S = (8/7)/(1 - 2/7)

S = (8/7)/(5/7)

S = (8/7)*(7/5)

S = 8/5

S = 1.6

------------------------

Answer in fraction form = 8/5

Answer in decimal form = 1.6

7 0

3 years ago