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Norma-Jean [14]
2 years ago
10

Y=x^(2) -2x - 3 and y = x - 3

Mathematics
1 answer:
Oliga [24]2 years ago
5 0

Answer:

(0, -3) and (3, 0)

Explanation:

1st equation: y = x² -2x - 3

2nd equation : y = x - 3

Using substitution method:

x² -2x - 3 = x - 3            <em>exchange sides</em>

x² - 2x - x - 3 + 3 = 0    <em>simplify</em>

x² - 3x = 0   <em>                 take common factor</em>

x(x - 3) = 0                    <em>simplify</em>

x = 0, 3

Solve for y:

when x is 0, y = x - 3 = 0 - 3 = -3

when x is 3, y = x - 3 = 3 - 3 = 0

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#14 <br> quick answer pls :)
Andrej [43]

Answer:

35.56

Step-by-step explanation:

4 0
2 years ago
Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of
VashaNatasha [74]

Answer:

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Step-by-step explanation:

Sample information:

Size     n = 100

mean   x = 28,5

Population information

μ₀  =  30

Standard deviation  σ   = 8

Test Hypothesis

Null Hypothesis          H₀                x =  μ₀

Alternative Hypothesis   Hₐ           x <  μ₀

We assume CI = 95 %   then α = 5 %    α = 0,05

As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery

A z(c) for 0,05 from z-table is:  z(c) = - 1,64

z(s) = ( x - μ₀ ) / σ/√n

z(s) = ( 28,5 - 30 ) / 8/√100

z(s) = - 1,5 * 10 / 8

z(s) =  - 1,875

Comparing z(s)  and z(c)

|z(s)| < |z(c)|        1,875  > 1,64

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

3 0
3 years ago
Complete. What is the Original Price?
Pani-rosa [81]
90 80% disocunt so what you do is divide that then let me know what you got

3 0
3 years ago
Read 2 more answers
A circle with the radius of 1cm sits inside a 3cm×4cm rectangle. What is the area of the shaded region?
Tanya [424]

Answer:

8.86

Step-by-step explanation:

Im guessing you want the rectangles area

Finding circle area do radius times radius times 3.14 so 1 x 1 = 1 x 3.14 = 3.14

Rectangle area is length times width so 3 x 4 = 12 - 3.14 = 8.86

8 0
3 years ago
The gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyballs cost $7 each. Ho
pav-90 [236]

Answer:

The maximum number of volleyballs that she can buy is 19

Step-by-step explanation:

Let

x ----> the number of volleyballs

we know that

The cost of each volleyball net ($28) by the number of volleyball nets (4) plus the cost of each volleyball ($7) multiplied by the number of volleyballs (x) must be less than or equal to $250

so

The inequality that represent this situation is

28(4)+7x\leq 250

Solve for x

112+7x\leq 250

subtract 112 both sides

7x\leq 250-112

7x\leq 138

Divide by 7 both sides

x\leq 19.7

therefore

The maximum number of volleyballs that she can buy is 19

4 0
3 years ago
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