3 years ago

Consider the equation |(x-3)^2-4|=b. Determine the value of b so that the equation has no solution.

Mathematics

2 answers:

oee [108]3 years ago

3 0

As an absolute value makes any value positive, any negative value of b will cause the equation to be unsolvable.

saul85 [17]3 years ago

3 0

<span>|(x-3)^2-4|=b since this is an absolute value equation

b can have any value less than zero so that the above is never true, in interval notation:

b=(-oo,0)</span>

You might be interested in

You and your friends have decided to camp for a night. Your friend claims the perimeter of his tent is 7.5 metres.

Georgia [21]

Perimeter =8.2
the friend is incorrect

4 0

3 years ago

A child bus ticket costs $0.40 and an adult’s ticket costs $0.70. A group of 11 individuals pays $5.90 for their fare.

oee [108]

Here we have a system of equation like this:
$A+B=11\\
0.4A+0.7B=5.9$
from the first equation we get:
$A=11-B$
Substitute in the second equation we get:
$0.4(11-B)+0.7B=5.9\\4.4-0.4B+0.7B=5.9\\0.3B=1.5\\B= \frac{1.5}{0.3}=5$
Substitute i the first equation again we get:
$A=11-B=11-5=6$
We deduce that:
$A > B$ A is bigger than B.

5 0

3 years ago

The sum of a number and twice its reciprocal is 3. What are the numbers?

qwelly [4]

Let no be x

Acc to ques

X + 2(1/x) = 3

X + 2/x = 3

X^2 + 2 = 3x

X^2 - 3x + 2 = 0

X^2 - x - 2x + 2 = 0

X (x-1) - 2 (x-1) = 0

(x-2) (x-1) = 0

X= 2 or x =1

If this answer was helpful then please mark it as the brianliest

3 0

3 years ago

PLS, 20 POINTS BRAINLIEST Jamie biked m miles at a speed of k miles per hour. What distance did she cover during the last 15 min

____ [38]

Answer:

0.25 k miles

Step-by-step explanation:

15 minutes =1/4 of an hour

Distance= speed*time= k (1/4)= (1/4) k= 0.25 k miles

3 0

3 years ago

Read 2 more answers

Don placed a ladder against the side of his

Luda [366]

Answer:

19.5^2 + x^2 = 20^2

Step-by-step explanation:

You would use the pythagorean theorem to find the missing side length

7 0

3 years ago