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Feliz [49]
3 years ago
12

State the X- and Y- intercepts of each function. 2/3x - 1/3y = 2

Mathematics
1 answer:
Arisa [49]3 years ago
8 0
X and Y both represent the position on a graph. So, to find the X- or Y- intercepts, simply set the other value to zero. (After all, the x-intercept is when y is zero, and vice versa.)
So for X...
2/3x-1/3(0)=2
2/3x=2
/(2/3)
x=3
So the X-intercept is at (3,0).
Now, the y-intercept.
2/3(0)-1/3y=2
-1/3y=2
/(-1/3)
y=-6
So the Y-intercept is at (0,-6).
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VARVARA [1.3K]

All you have to do, is combine like terms. Let's go through it:

(4x^2-8x+7)+(3x^2-2x-5)

Arrange it so you can easily combine like terms:

4x^2+3x^2-8x-2x+7-5 = 7x^2-10x+2

So, your answer for the sum is 1) 7x² - 10x + 2

5 0
3 years ago
1.5 &gt; 0.75x + 1 <br> what is x
motikmotik

Answer:

2/3 > x

Step-by-step explanation:

0.5 > 0.75x

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6 0
2 years ago
Suppose the CPI has a value of 225.3 exactly one year ago, and the current value of this index is 231.16, a rise of 5.86 points.
sertanlavr [38]

Answer:

2.6%

Step-by-step explanation:

Given the current CPI = 231.56

Previous CPI (CPI a year ago) = 225.3

Rate of inflation over the past year = current CPI - previous CPI/previous CPI × 100%

Rate of inflation = 231.56-225.3/225.3 × 100%

5.86/225.3× 100%

= 2.6%

Rate of inflation over the past year will be 2.6%

4 0
3 years ago
The area, A, of a triangle is one-half the product of the triangle's base and height. A = A = (12)(5) A = ( b+ h) A = A = (b·h)
polet [3.4K]

Answer:

A = (1/2) * b * h

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.

The area of a triangle is half the product of the base of the triangle and the triangle height. The area is given by the formula:

A = (1/2) * b * h

A = (1/2)bh  = 0.5bh

Where A is the area of the triangle, b is the bae of the triangle and h is the height of the triangle.

8 0
3 years ago
Consider the following.
zhuklara [117]

Answer:

The slope is -5/6

Step-by-step explanation:

To find the slope of a line given two points, we use the formula

m= (y2-y1)/(x2-x1)

  = (-1-4)/(4--2)

  =-5/(4+2)

  =-5/6

3 0
3 years ago
Read 2 more answers
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