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Gala2k [10]
4 years ago
15

Sam’s business manufactures 5 times as many widgets as Mary does every hour but Sam needs to stop for a few minutes every hour a

nd Mary does not. Mary makes 3 widgets during this time. Using the variables S for Sam and M for Mary, which equation represents this information? A) S=5M-3 B) M=S+8 C) M=5S-3 D) S= M+8
Mathematics
1 answer:
natita [175]4 years ago
6 0
Answer:
A) S=5M-3

Explanation:
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The slope of line m is 2, and it’s y-intercept is 3. If line l is perpendicular to line m and line l intersects line m at its y-
Elis [28]

Answer:

The answer to your question is:    y = -1/2 x + 3

Step-by-step explanation:

Data

slope = m = 2

y-intercept = 3

line l is ⊥

Process

1.- Calculate the slope of line l

              l = - 1/ m

              l = - 1 / 2

              (m)(l) = (2)(-1/2)

                       = -1                As m x l is "-1" the lines are perpendicular

2.- Find the line of line l

Equation               y - y1 = m (x - x1)

Point (0, 3)

                             y - 3 = - 1/2 (x - 0)           Substitution

                             y - 3 = -1/2 x                    Simplification

                             y = -1/2 x + 3

3 0
3 years ago
(Algebra II) Which equation is best represented by the graph above?
kodGreya [7K]
<h3>Answer:</h3>

B). y = (x -3)(x +1)(x -1)

<h3>Step-by-step explanation:</h3>

The zeros of the function are -1, 1, and 3, so the factors are (x +1), (x -1), and (x -3).

Selection B is the only choice that has these three factors.

_____

<em>Comment on zeros and factors</em>

When x = a is a zero of a polynomial function, (x -a) is a factor.

5 0
3 years ago
What is the decimal representation of 1/8?
jarptica [38.1K]
Its A 0.125 because 0.125×8=1.000 or 1 full
6 0
3 years ago
1. Evaluate 5+8x when x = 2<br> 2. y+51=98<br> 3. m6=9 <br> 4.1 5n+45?<br><br> I need some help!
BaLLatris [955]
1 is 21
2 is 47
i'm not sure what 3 is but i think it's 1.5 or 3/2
4 is 5(n+9)
6 0
3 years ago
onsider the equation 0.5 times e4z =13 solve the equation for z. express the solution as a logarithm in base e
olga_2 [115]

Answer:

z=\frac{ln(26)}{4}

Step-by-step explanation:

The given equation is:

0.5\,e^{4z}=13

so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:

0.5\,e^{4z}=13\\e^{4z}=\frac{13}{0.5}\\e^{4z}=26

Now we bring the exponent down by applying the natural log function on both sides, and then solve for "z":

e^{4z}=26\\ln(e^{4z})=ln(26)\\4\,z=ln(26)\\z=\frac{ln(26)}{4}

5 0
4 years ago
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