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3 years ago

What is the solution of -2x-2y=4 and x+5y=10

1 answer:

4 0

-2x - 2y = 4
x + 5y = 10

It looks like the method it would be easiest to use to solve this system is substitution. To use substitution, let us isolate x in the second equation:

x + 5y = 10
x = -5y + 10

---

-2x - 2y = 4
-2(-5y + 10) - 2y = 4
10y - 20 - 2y = 4
8y - 20 = 4
8y = 24
y = 3

Now we can substitute back into the second equation to find x:

x + 5y = 10
x + 5(3) = 10
x + 15 = 10
x = -5

Finally, to check our work:

-2(-5) - 2(3) = 4 --> 10 - 6 = 4 <--True
-5 + 5(3) = 10 --> -5 + 15 = 10 <--True

Answer:
y = 3
x = -5

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-/2 points

Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval (-∞,∞)

Part 2) The range is the interval (-∞,1]

Step-by-step explanation:

we have

$f(x)=-x^2+14x-48$

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

Find the range

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

The range is the interval

(-∞,k]

Find the vertex

$f(x)=-x^2+14x-48$

Factor -1 the leading coefficient

$f(x)=-(x^2-14x)-48$

Complete the square

$f(x)=-(x^2-14x+49)-48+49$

$f(x)=-(x^2-14x+49)+1$

Rewrite as perfect squares

$f(x)=-(x-7)^2+1$

The vertex is the point (7,1)

therefore

The range is the interval

(-∞,1]

6 0

3 years ago

2968 Divided. By. 56. What. Is the answer to this problem please show your work

Sladkaya [172]

Answer:

Step-by-step explanation:

i had to use this old method (pic related).

8 0

3 years ago

An odd number under 50 but least 5 factors

ohaa [14]

5,15,25,35,45,55 ext.

6 0

4 years ago

Need math help (last one wouldn't let me upload pic)

Scrat [10]

Answer:

$\text{Area of the figure}=54\text{ unit}^2$

Step-by-step explanation:

Please find the attachment.

Let us divide our given image in several parts and then we will find area of different parts.

First of all let us find the area of our red rectangle with side lengths 6 units and 7 units.

$\text{Area of rectangle}=\text{Length*Width}$

$\text{Area of red rectangle part}=6\text{ units}\times 7\text{ units}$

$\text{Area of red rectangle part}=42\text{ units}^2$

Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.

$\text{Area of triangle}=\frac{1}{2}\times \text{Base*Height}$

$\text{Area of triangle}=\frac{1}{2}\times \text{6 units *1 unit}$

$\text{Area of triangle}=3\text{ unit}^2$

Let us find the area of green triangle.

$\text{Area of green triangle}=\frac{1}{2}\times \text{3 units *2 units}$

$\text{Area of green triangle}=3\text{ unit}^2$

Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.

$\text{Area of blue triangle}=\frac{1}{2}\times \text{6 units *2 units}$

$\text{Area of blue triangle}=6\text{ units}^2$

Let us add all these areas to find the area of our figure.

$\text{Area of the figure}=42\text{ units}^2+3\text{ unit}^2+3\text{ unit}^2+6\text{ unit}^2$

$\text{Area of the figure}=(42+3+3+6)\text{ unit}^2$

$\text{Area of the figure}=54\text{ unit}^2$

Therefore, area of our given figure is 54 square units.

3 0

3 years ago

Find the area of the circle given the following information. Give the exact answer and an approximation to the nearest tenth.

MAVERICK [17]

Answer:

Pi R square

so 36*3.14= 113.4

= 110in Square

6 0

3 years ago

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