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Masteriza [31]
3 years ago
15

Identify the type of function that models the situation below: The cost of mailing a letter is $0.37 for the first ounce and $0.

23 for each additional ounce or portion thereof. a. greatest integer function c. absolute value function b. step function
Mathematics
1 answer:
Gwar [14]3 years ago
8 0

Answer:

The correct option is;

Step function

Step-by-step explanation:

The given information are;

The cost of mailing a letter for the first ounce= $0.37

The cost for each additional ounce = $0.23

Therefore, the cost of mailing a letter can be found from the relation;

y = (N-1) × $0.23 + $0.37

The step function can be represented as follows;

f(x) = a[b(x - h)] + k

Where;

(h. k) = The starting points

a = The vertical step separation

b = The horizontal step separation

Therefore, in the question, we have;

a = $0.23

b  = 1

h = 1

k = $0.37

Which gives;

f(x) = $0.23 × [1(x - 1)] + $0.37 = $0.23 × (x - 1) + $0.37

f(x) = $0.23 × (x - 1) + $0.37 which is similar to y = (N-1) × $0.23 + $0.37

Therefore the function that models the situation is step function.

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Which choice is equivalent to the expression below? square root of negative 20​
morpeh [17]

Answer:

B

Step-by-step explanation:

The expression can be written as

\sqrt{-20}

The - can be taken out from under the radicand and a 2 can be factored out of the expression to leave you with the expression

2i\sqrt{5}

7 0
3 years ago
Read 2 more answers
5 – 6x = 8x + 17 and simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B-6%7D%7B7%7D" id="TexFormula1" title="\frac{-6}{7}" al
NikAS [45]

Answer:

x = -6/7

Step-by-step explanation:

5 – 6x = 8x + 17

-5                 - 5           Subtract 5 from both sides

-6x = 8x + 12

-8x   - 8x                     Subtract 8x from both sides

-14x = 12                      Divide both sides by -14

x = -12/14                     Simplify

x = -6/7

7 0
2 years ago
Find the equation of a line parallel to y=-10x-5 passing through the coordinate (-3,5)
Allushta [10]
With a given parallel line and a given point on the line
we can use the point-line method:  y-y0=m(x-x0)
where
y=mx+k is the given line, and
(x0,y0) is the given point.

Here
m=-10, k=-5, (x0,y0)=(-3,5)

=> the required line L is given by:
L:  y-5=-10(x-(-3))

on simplification
L: y=-10x-30+5
L: y=-10x-25
4 0
3 years ago
2) 3x + 4y = 8<br> 2x+y=42<br> a) (30, -19)<br> b) (31, -20)<br> c) (32,-22)<br> What is the answer
kirza4 [7]

Answer:

C

Step-by-step explanation:

We can solve simultaneous equations using substitution method, elimination method or graphical method. But for this purpose, we will be using the elimination method.

3x+4y=8 Equation 1

2x+y=42 Equation 2

Multiply Equation 1 by 2 and equation 2 by 3, so as to get the same coefficient for x

2(3x+4y=8)= 6x+8y=16 Equation 3

3(2x+y=42)= 6x+3y=126 Equation 4

Subtract equation 4 from 3, to eliminate x

6x-6x=0

8y-3y= 5y

16-126= -110

We now have 5y=-110

Divide both sides by 5,

y= -110/5

= -22

Substituting for y in equation 2

2x+(-22)= 42

2x= 42+22

2x=64

x= 64/2

= 32

(x, y)

(32, -22)

7 0
3 years ago
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nikitadnepr [17]

Answer:

D

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