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3 years ago

The sum of the integers p and q is 495. If p is divided by 10, the result is equal to q. What is the value of p ?

Mathematics

1 answer:

velikii [3]3 years ago

5 0

450 ....................................................................................

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Solve the system by substitution: y = -3x + 10 y=-3x + 4 Please show the steps!

sergiy2304 [10]

Answer:

x=1, y=7

Step-by-step explanation:

y = -3x + 10 - first equation

y=-3x + 4 - second equation

rearrange the expression to

-3x-y= -10

3x-y= -4

pick an equation and simplify; lets pick the second equation

3x-y= -4

$\frac{3x}{3} = \frac{-4+y}{3}$

divide 3 by both sides

x= $\frac{-4+y}{3}$ - third equation

substitute the value of x into an equation; lets pick the first equation

-3x-y= -10

-3 $(\frac{-4+y}{3})$ - y = -10

simplify. -3 cancels 3 so we are left with

-1(-4+y)-y = -10

simplify

4-y-y= -10

4-2y= -10

subtract 4 from both sides

-2y= -10-4

-2y= -14

divide -2 by both sides

y=7

substitute the value of y, (y=7) in an equation, we are using the second equation

3x-y= -4

3x-7= -4

3x = -4+7

3x= 3

divide 3 by both sides

x=1

so the answer is x=1, y=7

5 0

3 years ago

Q ,# 13 Graph the function Y = - X + X ^2

GalinKa [24]

We have the following function that is a quadratic function:

$y=-x+x^2$

So the graph of this function is shown in the figure below. This is a parabola as you can see. The roots of this functions, that is, the x-intercepts are:

$y=-x+x^2 \\ y=x(x-1) \\ \\ x_{1}=0 \ and \ x_{2}=1$

As you can see in the figure. This function decreases from $(-\infty,0.5)$ and increases from $(0.5, \infty)$

Finally, another thing we can see from the graph is that the vertex is the point:

$V(0.5,-0.25)$