Graph the following equations:y = 2x-1y = 6 - x

Mathematics

1 answer:

sladkih [1.3K]2 years ago

4 0

Answer: hope this helps!

Step-by-step explanation:

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lozanna [386]

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2 years ago

Lisa's dog has 4 squeaky toys. Two thirds of the dog's toys are squeaky toys. How many dog toys does Lisa's have in all?

viva [34]

. Lisa's dog has 4 squeaky toys
. the squeaky toys are 2/3 of all the dog's toys

. let x be number of all dog toys

make an equation
(2/3)x = 4 ← solve
x=6

check
2/3 × 6 = 4

Lisa's Dog has 6 toys in all

3 0

3 years ago

The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m

vagabundo [1.1K]

Answer-

The equation that describes the pattern is,

$\boxed{\boxed{y=2{x}+30}}$

Solution-

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

$(0,30),(15,60),(30,90),(45,120)$

Taking first two points i.e $(0,30),(15,60)$ , the line equation will be,

$\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

$\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}$

$\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}$

$\Rightarrow 15(y-30)=30{x}$

$\Rightarrow y-30=2{x}$

$\Rightarrow y=2{x}+30$

Putting the other two points i.e $(30,90),(45,120)$ in the equation, they also satisfy the equation. That means they are also on the same line $y=2{x}+30$ .