All categories

2 years ago

Find the roots of the following equations. a) 4x+9=34 b) (x-4)(x+2)=0 c) 2x^2-6x+4=0

1 answer:

7 0

A. 4x + 9 = 34
 - 9 - 9
 4x = 25
 4 4
 x = 6.25

B. (x - 4)(x + 2) = 0
 x - 4 = 0 U x + 2 = 0
 + 4 + 4 - 2 - 2
 x = 4 x = -2

C. 2x² - 6x + 4 = 0
 2(x²) - 2(3x) + 2(2) = 0
2(x² - 3x + 2) = 0
 2 2
 x² - 3x + 2 = 0
 x = -(-3) +/- √((-3)² - 4(1)(2))
 2(1)
 x = 3 +/- √(9 - 8)
 2
 x = 3 +/- √(1)
 2
 x = 3 +/- 1
 2
 x = 3 + 1 U x = 3 - 1
 2 2
 x = 4 x = 2
 2 2
 x = 2 x = 1

You might be interested in

Find the missing dimension of each triangle described height 14 inches area 245 inches Square

Amiraneli [1.4K]

Given:
Triangle
height 14 inches
area 245 inches square

Formula in finding the area of a triangle is:

Area = (height * base) / 2

The base is missing, so we need to compute its value using the given figures.

245 = (14 * b) / 2
245 * 2 = 14b
490 = 14b
490/14 = b
35 = b

The base is 35 inches.

4 0

2 years ago

Find the length of the Lm of LM if L is (10,6) and M is (0,-7)

lubasha [3.4K]

Answer:

16.4012194669

simplified: 16.4

Step-by-step explanation:

4 0

2 years ago

Question 5: prove that it’s =0

mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that $\cos(\frac{2}{x})$ is a variable number between -1 and 1 (inclusive).

This means that $-1 \le \cos(\frac{2}{x}) \le 1$ .

$x^4 \ge 0$ for all value $x$ . So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

$-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

By squeeze theorem, if $-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

and $\lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L$ , then we can also conclude that $\im_{x \rightarrow} x^4\cos(\frac{2}{x})=L$ .

So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at $x=0$ .

$\lim_{x \rightarrow 0}x^4=0^4=0$

$\lim_{x \rightarrow 0}-x^4=-0^4=-0=0$ .

We can finally conclude that $\lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0$ by squeeze theorem.

Some people call this sandwich theorem.

6 0

2 years ago

Find the missing term in the sequence 3 ,-1 ,- 5 ____ -13 a. -6 b. -7 c. -9 d. -11

Reil [10]

Answer:

C. -9

Step-by-step explanation:

The pattern is clearly subtracting 4 each time (or adding -4).

-5 - 4 = -9

6 0

2 years ago

Read 2 more answers

Help me with the question of o.math

Lelu [443]

Answer:

Hello,

Answer 163

Step-by-step explanation:

1,7,16,28,43,..., 10th term=?

$u_1=1,u_2=7,u_2-u_1=7-1=6=2*3\\u_3=16, u_3-u_2=16-7=9=3*3\\u_4=28, u_4-u_3=28-16=12=4*3\\u_5=43, u_5-u_4=43-28=15=5*3\\\\\boxed{ u_1=1, \ u_{n+1}-u_{n}=(n+1)*3}\\\\u_{10}=163\\$

Download xls

7 0

2 years ago

Read 2 more answers