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Semmy [17]
3 years ago
14

Find the slope and y-intercept 4x+2y=-6

Mathematics
2 answers:
EleoNora [17]3 years ago
8 0
<span>4x+2y=-6
2y = -4x - 6
  y = - 2x - 3
slope = -2
</span><span>y-intercept when x = 0
so y = -3

answer
slope = -2
</span><span>y-intercept (0,-3)</span>
skad [1K]3 years ago
3 0
Hi and good morning from Canada!

In order to find the slope and the y-intercept of 4x+2y=-6, we need to put this equation in y=mx+b form. This is because m=the slope and b=the y-intercept of a linear function, which is what this equation is (since the degree of the equation is a 1).

4x+2y=-6
2y=-4x-6
y=-4/2x-6/2
y=-2x-3

Therefore the slope is equal to -2 and the y-intercept is (0, -3).

Hope this helps!
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Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is t
tatiyna

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

6 0
3 years ago
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Sketch the region that is common to the graphs of x ≥ 2,
Oliga [24]

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

  • The graph of x ≥ 2 is the region right of the line x = 2.
  • The graph of y ≥ 0 is the region above the line y = 0 or x-axis.
  • To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

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  • base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

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6 0
1 year ago
The floor of a 15’ x 20’ rectangular room is being covered with carpet tiles each carpet tiles cover 6 ft.² of floor which of th
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Answer:

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4. It's asking for an expression, so 15 * 20 / 6

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3 years ago
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