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alexgriva [62]
2 years ago
12

A factory is producing a linear number of objects in each shipment. If x = the shipment number, which function can be used to de

termine how many objects are in that shipment?
Mathematics
1 answer:
tino4ka555 [31]2 years ago
3 0
A linear fuction is one in which the relation between the dependent variable (number of objects in this case) and the independent variable (ship number in this case) is a constant plus a factor times the independent variable.

This is is y is the number of objects and x is the ship number:

y = A + Bx, where A and B are constants.

So, you must find a function with that form, where A is the number of objects when the ship number is 0, and B is the amount that the number of objects increase divided by the amount that the ship number increase, taking any two points.
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2 Points
liraira [26]

Two or zero expresses the possible number of positive real  solutions for the given polynomial equation.

Answer: Option D

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

Given equation:

        x^{3}-4 x^{2}-7 x+28=0

First, we put hit and trial method to find out the one solution. So, if we put x=4 then the above expression will become zero.  We can also write the above expression as  

      (x-4) \times\left(x^{2}-7\right)=0

We know the formula, a^{2}-b^{2}=(a+b)(a-b), make use of this, we get

   (x-4) \times(x-\sqrt{7}) \times(x+\sqrt{7})=0

So, x=4, \sqrt{7},-\sqrt{7}

Hence, from the above expression, we have three values of x as x= 4, 2.64 and -2.64

8 0
3 years ago
carol is excited to get a new kitten from the animal shelter. the kitten had an $299 adoption fee. carol had $50 off coupon for
Molodets [167]

Answer:

1 month

Step-by-step explanation:

249 is the amount she spends for buying the kitten, (299-50=249) which she only has to pay once.

20 is the amount she has to spend every month, the rate of change.

The problem can be modeled with the general equation:

y = 20x + 249

In this equation, x the the time in months and y is the amount of money spent.

Substitute 250 for y.

y = 20x + 249

250 = 20x + 249    <= isolate x to get the number of months

1 = 20x

x = 1/20

Carol will only spent money every month, not for 1/20 of a month.

It will only take Carol 1 month to spent $250.

Check answer:

Substitute x for 1

y = 20x + 249

y = 20(1) + 249

y = 269

269 is more than 250 already.

3 0
2 years ago
Read 2 more answers
What letter stays the same when reflected over the x-axis
valina [46]

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:

6 0
2 years ago
In a manufacturing plant that produces new computers, a 0.15 probability exists that a computer will be defective. if five compu
Sindrei [870]

The probability that all of them will be defective is 0.0000759375

<em><u>Explanation</u></em>

The general <u>Binomial Probability</u> formula is....

P= ^nC_{r}*p^r*(1-p)^n^-^r, where p is the probability of success, n is the total number of trials and r is the desired numbers of trials.

Given, the probability that a computer will be defective is 0.15 , so p = 0.15

Five computers are manufactured and we need to find the probability that all of them will be defective. That means, n = 5 and r = 5

Now according to the above formula....

P= ^5C_{5}*(0.15)^5*(1-0.15)^5^-^5 \\ \\ P= 1*(0.15)^5* (0.85)^0\\ \\ P=(0.15)^5 =0.0000759375

So, the probability that all of them will be defective is 0.0000759375

7 0
3 years ago
10(4-7) What is the value of =(4-1) ? <br>-10 <br>- 6<br> 6<br> 10​
blagie [28]
Answer 10

This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
Substitute in the values of
a
1
=
1
a
1
=
1
and
d
=
3
d
=
3
.
a
n
=
1
+
(
3
)
(
n
−
1
)
a
n
=
1
+
(
3
)
(
n
-
1
)
Simplify each term.
a
n
=
1
+
3
n
−
3
a
n
=
1
+
3
n
-
3
Subtract
3
3
from
1
1
.
a
n
=
3
n
−
2
4 0
3 years ago
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