Veronica's family is getting ready for

Mathematics

1 answer:

motikmotik2 years ago

8 0

Answer:

6.5

Step-by-step explanation:

15gallons ÷ 2.3 gallons per car = 6.5 cars so filled would be 6

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Find the solutions of the quadratic equation –9x2 + 49 = 0.

Luba_88 [7]

Answer:

x = 7/3

Step-by-step explanation:

Given equation:

–9x² + 49 = 0

To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.

⇒ –9x² + 49 - 49 = 0 - 49
⇒ –9x² = -49

We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.

⇒ –9x² = -49
⇒ -9x²/-1 = -49/-1
⇒ 9x² = 49

Clearly, we can see that 9x² and 49 are perfect squares. Therefore,

⇒ 9x² = 49
⇒ (3x)² = (7)²

Take square root both sides of the equation:

⇒ √(3x)² = √(7)²
⇒ 3x = 7

To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation

⇒ 3x/3 = 7/3
⇒ x = 7/3

Therefore, the value of "x" must be 7/3.

3 0

1 year ago

Help with graph question

Gala2k [10]

The first thing we are going to do to graph our equation is solve them for $y$ :
For our first equation:
$4x-5y=50$
$-5y=20-4x$
$y= \frac{4}{5} x-4$
For our second equation:
$3x+y=-4$
$y=-3x-4$

Now, we just need to use the graphing utility to graph our equations:
$y= \frac{4}{5} x-4$
$y=-3x-4$

We can conclude that the graph of the equations is: