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Y_Kistochka [10]
2 years ago
15

How do you solve x2 – 4 = 5 by graphing the related function

Mathematics
1 answer:
vova2212 [387]2 years ago
5 0

Answer:

  see attached

Step-by-step explanation:

The related function we like to graph is the one that has the solutions as its zeros.

__

Subtract 5 from both sides.

  x² -9 = 0

This is now in the form ...

  f(x) = 0

The related function is then ...

  f(x) = x² -9

and its zeros are the solutions to the original equation. The zeros (x-intercepts) of f(x) are x = -3 and x = 3.

__

<em>Additional comment</em>

The second attachment shows a graph of the given equation. Essentially, its graph is two points on the number line: x = -3 and x = 3.

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Zeros :-1,1,3;degree:3
forsale [732]

Answer:

y = x³ - 3x² - x + 3

Step-by-step explanation:

Given the zeros x = - 1, x = 1 and x = 3 then

(x + 1), (x - 1) and (x - 3) are the factors and the polynomial is the product of the factors, hence

y = a(x - 1)(x + 1)(x - 3) ← a is a multiplier

let a = 1 and expand the factors

y = (x² - 1)(x - 3)

  = x³ - x - 3x² + 3

  = x³ - 3x² - x + 3 ← in standard form

7 0
3 years ago
3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm s
Gekata [30.6K]

Step-by-step explanation:

Volume of displaced water = (10cm)(10cm)(1.6cm)

= 160 cm^3

density = mass/vol of displaced water

= 3088 grams/160 cm^3

= 19.3 g/cm^3

P.S. This is most likely a pure gold medallion.

6 0
3 years ago
Please explain how you got this answer.
Tema [17]
150 times

out of the first 5 cards, there is a 3/5 chance of drawing a yellow.
if you replace the card and draw again, you still have a 3/5 chance of drawing a yellow card.
keep doing this process for 250 draws, each draw will always have 3/5 chance of drawing a yellow card.

so 3/5 +3/5 +3/5 +...  (250 times) = 250 x 3/5 = 150

3 0
3 years ago
8y + 7 = 6y - 3<br> Help solve
Alenkasestr [34]

Answer:

-5

Step-by-step explanation:

8y-6y=-3-7

2y=-10

y=-10÷2

y=-5

6 0
3 years ago
Read 2 more answers
The sum of 5 times a larger number and twice a smaller is 5. The difference of 4 times the larger and the smaller number is 4. F
Gemiola [76]

Answer:

1 and 0

Step-by-step explanation:

Let's call the smaller number x and the larger number y.

This means 5y+2x=5.

Also, 4y-x=4.

This is a system of equations. There are two main ways two solve this.

Method 1: Substitution

5y+2x=5

4y-x=4

Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

I will take 4y-x=4 and solve for x.

4y=4+x

x=4y-4

Then substitute for x in the other equation and solve for y.

5y+2x=5

5y+2(4y-4)=5

5y+8y-8=5

13y=13

y=1

Now we can go back to our equation for x and substitute for y.

x=4y-4

x=4(1)-4=0

y, the larger number, is 1 and

x, the smaller number, is 0

Method 2: Elimination

5y+2x=5

4y-x=4

Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.

4y-x=4

becomes

8y-2x=8

Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

5y+2x+8y-2x=5+8

13y=13

y=1

like last time, we can substitute for y in any of the original equations to get x.

5y+2x=5

5(1)+2x=5

5+2x=5

2x=0

x=0

y, the larger number, is 1 and

x, the smaller number, is 0

6 0
3 years ago
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