All categories

3 years ago

Solve (x-2)^2-3=1 graphically.

Mathematics

1 answer:

zimovet [89]3 years ago

8 0

we are given

$(x-2)^2-3=1$

we can seperate them

First function is

$y=(x-2)^2-3$

second function is

$y=1$

now, we can draw graph

and find intersection points

so, we can see that

intersection points are

(0,1) and (4,1)

so, solutions are

$x=0,x=4$ ...........Answer

You might be interested in

You work for a pharmacy and monthly sales of asthma inhalers in your pharmacy follows a normal distribution with a mean of 191 i

grin007 [14]

Answer: -1.33 .

Step-by-step explanation:

Formula to find the Z-score :

$Z=\dfrac{\text{Expected value - Mean}}{\text{Standard deviation}}$

Given: Mean = 191 and Standard deviation = 21

Then , the z-score corresponding to the expected value of 163 will be :

$Z=\dfrac{163-191}{21}\\\\=\dfrac{-28}{21}\approx-1.33$

Hence, the z score corresponding to selling 163 inhalers is -1.33 .

3 0

3 years ago

Scott buys candy that costs $7 per kilogram. He will spend at least $35 on candy. What are the possible numbers of kilograms he

slega [8]

Answer:

p ≥ 5

Scott will buy at least 5 kilograms of candy.

Step-by-step explanation:

Inequalities

The candy Scott buys cost $7 per kilogram.

Let's set p=number of kilograms of candy Scott will buy.

The money spent to buy p kilograms of candy is 7p dollars.

The condition states he will spend at least $35 on candies, thus the following inequality is formed:

7p ≥ 35

Dividing by 7:

p ≥ 35/7

Operating:

p ≥ 5

Scott will buy at least 5 kilograms of candy.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2

Nimfa-mama [501]

First of all, we can observe that

$x^2-6x+9 = (x-3)^2$

So the expression becomes

$\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}$

This means that the expression is defined for every $x\neq 3$

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

$x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2$

Since we can't accept 3 as an answer, the actual solution set is

$(-\infty,-2] \cup [2,3) \cup (3,\infty)$

7 0

2 years ago

Sonya has 5 sandwiches.she cuts each sandwich into fourths.How menu 1/4 size sandwich pieces dose she have

frozen [14]

Answer:

Step-by-step explanation:

Sonya has 5 sandwiches.she cuts each sandwich into fourths

1 sandwich divided into four parts

four parts = ¹/₄

1/¹/₄= 1x ⁴/₁= 4

so 1 sandwich divided into four parts is 4

so if 1 is divided into four parts is 4

5 will 4 x 5 = 20

so it means there will 20 of ¹/₄ sandwich

4 0

3 years ago

Please help fast i have no clue what this is meaning ILL MARK U BRAINLIEST

Klio2033 [76]

Answer:

A function is a relation that is either

one-to-one, meaning each output only has one input
many-to-one meaning some outputs can have more that one input, but all inputs only have one output

So, That pic is cramped, don't even know what functions are being referenced but

from the a, b, c, d relation

It is not a function because some inputs have more that one output, which fails our man-to-one rule

From the equations

-3x = 15 is not a function, because it only has one input but more than one output breaking rule 1
2y=10 is a function because every input x has only one output y, it is many-to-one
3x-0.25y=3 is a function, it is one to one

From the graph

the line is a function, since it is many-to-one

From the points

the x coordinate is the input, not points (2,6) and (2,3) have the same input for two outputs, breaking rule 2, that each input should have only one output. So the points are not a function

3 0

3 years ago