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2 years ago

What is the equation of the line that passes through the point (2,0) and has a slope of 5/2

1 answer:

5 0

Answer :

y = 5/2x - 5

Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5/2 , thus
y = 5/2x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = 5 + c ⇒ c = 0 - 5
y = 5/2x - 5 ← equation of line

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A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin

Nikitich [7]

Answer:

z (min ) = 0.4167 $

x = 8,33 oz

y = 0

Step-by-step explanation:

Table:

Vitamin A Vitamin B Cost $/oz

Wheat (x) 10.5 2.4 0.05

Oats (y) 6 1.8 0.10

Requirements 48 (mg) 20 (mg)

Requirements 1,693 (oz) 0,7054 (oz)

The problem is minimized z subject to two constraint

z = 0.05*x + 0.1*y to minimize

Subject to:

Requirement of Vitamin A

10.5*x + 6 * y ≥ 48

Requirement of Vitamin B

2.4*x + 1.8*y ≥ 20

x≥0 y≥0

Using the on-line solver AtomZmaths and after 3 iterations the solution is:

z (min ) = 0.4167 $

x = 8,33 oz

y = 0

8 0

3 years ago

13 please help ‍♀️‍♀️‍♀️‍♀️

bija089 [108]

2.5*(3+x)；2.5x+7.5

7.5+2.5x

so 2.5x+7.5=2.5+7.5

5 0

3 years ago

Read 2 more answers

Translate the algebraic expression below into a written expression.

tensa zangetsu [6.8K]

Answer:

Its C

Step-by-step explanation:

6 0

3 years ago

Lou wants to make a coffee mixture to sell. He is going to mix Sumatra coffee which costs $2.50 per pound with Columbian coffee

Scilla [17]

To answer this question you need to create 2 equations:
S+C=50
2.50S+3.75C=3.35*(50)
S=50-C -so now you can plug in S into the second equation
2.50*(50-C)+3.75C=167.5
Now you just need to solve this equation, the final answer will be 34 pounds of colombian coffee and 16 pounds of sumatra coffee

5 0

3 years ago

Show the work please

Kay [80]

Answer:

1) (x + 3)(3x + 2)

2) x= +/-root6 - 1 by 5

Step-by-step explanation:

3x^2 + 11x + 6 = 0 (mid-term break)

using mid-term break

3x^2 + 9x + 2x + 6 = 0

factor out 3x from first pair and +2 from the second pair

3x(x + 3) + 2(x + 3)

factor out x+3

(x + 3)(3x + 2)

5x^2 + 2x = 1 (completing squares)

rearrange the equation

5x^2 + 2x - 1 = 0

divide both sides by 5 to cancel out the 5 of first term

5x^2/5 + 2x/5 - 1/5 = 0/5

x^2 + 2x/5 - 1/5 = 0

rearranging the equation to gain a+b=c form

x^2 + 2x/5 = 1/5

adding (1/5)^2 on both sides

x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2

(x + 1/5)^2 = 1/5 + 1/25

(x + 1/5)^2 = 5 + 1 by 25

(x + 1/5)^2 = 6/25

taking square root on both sides

root(x + 1/5)^2 = +/- root(6/25)

x + 1/5 = +/- root6 /5

shifting 1/5 on the other side

x = +/- root6 /5 - 1/5

x = +/- root6 - 1 by 5

x = + root6 - 1 by 5 or x= - root6 - 1 by 5

4 0

3 years ago