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3 years ago

Rewrite the equation in slope intercept form. 4x + 5y = 8

Mathematics

2 answers:

Nina [5.8K]3 years ago

8 0

Y = -4/5x + 8/5 (slope intercept form is y = mx + b)

valentinak56 [21]3 years ago

3 0

Answer:

y=-4/5+8/5, or y= -.8+1.6

Step-by-step explanation:

Slope intercept form-

y=mx+b

y=-4/5+8/5

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Describe in words the region of R3 reperesented by the equations or inequalities x2+y2+z2≤3

Vaselesa [24]

Answer:

The region represented by the equation is a full sphere of radius √3 centered in the origin of coordinates.

Step-by-step explanation:

In a plane xy, the equation that represents a circle with center in the origin, of radius r is

$x^2+y^2=r^2$

in R³, or a space xyz, we can represent a sphere with its center in the origin, and of radius r, with the equation

$x^2+y^2+z^2=r^2$

So, in this problem we have that

$3=r^2$

which means that the sphere has a radius of √3.

Finally, our equation is an inequality, and the sphere is equal to, and less than, the calculated radius.

Therefore, the sphere is "full" from the surface to its center.

8 0

3 years ago

Your family goes to a Southern-style restaurant for dinner. There are 5 people in your

AURORKA [14]

$x-number\ of\ people\ who\ ordered\ chicken\\5-x-number\ of\ people\ who\ ordered\ steak\\\\13x+18(5-x)=80\\13x+90-18x=80\\13x-18x=80-90\\-5x=-10\ \ \ \ \ |:-5\\x=2\\\\5-2=3\\\\a)\ 3\ of\ them\ ordered\ steak\\b)\ 2\ of\ yhem\ ordered\ chicken$

4 0

3 years ago

Matilda always eats at least one of the following for breakfast: cereal, bread, or yogurt. On Monday, she is especially picky. I

Annette [7]

Answer:

Matilda eats Cereal on Monday.

Step-by-step explanation:

Breakfast options for Matilda are: Cereal (C), Bread (B) or Yogurt (Y).

Condition 1: If she eats cereal and bread she also eats yogurt.

Then Matilda's breakfast combination is: C + B + Y.

Condition 2: If she eats bread or yogurt, she also eats cereal.

Then Matilda's breakfast combination is: C + B or C + Y.

Condition 3: She never eats both cereal and yogurt.

Then Matilda's breakfast combination does not include is: C + Y.

Condition 4: She always eats bread or cereal.

Then Matilda's breakfast combination always includes is: C or B.

If Matilda eats bread (B) then according to Condition 2 she eats cereal (C) also. And since she eats both C and B she eats yogurt (Y) also.

But according to Condition 3 Matilda never eats both cereal and yogurt.

Hence she can never have all three for breakfast.

She cannot eat bread (B) alone [according to Condition 2], Matilda is left with only one option, i.e. Cereal (C).

Thus, Matilda eats Cereal for breakfast on Monday.

5 0

3 years ago

Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total em

forsale [732]

X% of $28,600 is $33,500
x/100 * 28,600 = 33,500
x = 33,500 * 100 / 28,600
x = 117.13% = 117%

117% - 100% = 17%

The answer would be 17%.
Glad to help :)

5 0

3 years ago

Read 2 more answers

Evaluate the following expression:

Molodets [167]

Answer:

Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury, and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury were heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.

Step-by-step explanation:

7 0

3 years ago