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lora16 [44]
3 years ago
12

Determining a Local Maximum and Minimum

Mathematics
1 answer:
g100num [7]3 years ago
5 0

Answer:

  • x=-1
  • x=-3

Step-by-step explanation:

Algebra level

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The distance from Mars to the Sun is 1.416×10^8 miles. The distance from Earth to the Sun is 9.296×10^7 miles. How many more mil
Cerrena [4.2K]

Answer:

4.864*10^7\ miles

or

48,640,000\ miles

Step-by-step explanation:

we know that

To determine how many more miles is the distance from Mars to the Sun than the distance from Earth to the Sun, subtract the distance from Earth to the Sun from the distance from Mars to the Sun

Let

x ----> the distance from Mars to the Sun in miles

y ----> the distance from Earth to the Sun in miles

Find out

(x-y)

we have

x=1.416*10^8\ miles

y=9.296*10^7\ miles

we need to adjust the powers of 10 in the 2 numbers so that they have the same index

Multiply  the distance from Earth to the Sun by 10/10

y=9.296*10^7(\frac{10}{10})=0.9296*10^8\ miles

Find out the difference

(x-y)=1.416*10^8\ miles-0.9296*10^8\ miles=0.4864*10^8\ miles

Multiply by 10/10

0.4864*10^8(\frac{10}{10})=4.864*10^7\ miles

7 0
4 years ago
A radio station ordered hats and coffee mugs to give away as prizes. A total of 1,000 of these items were ordered, and 3 times a
marshall27 [118]

Answer:

The options are not shown, so i will answer in a general way.

Let's define the variables:

h = number of hats

m = number of mugs.

We know that a total of 1000 items were ordered, then:

h + m = 1000

We also know that we have 3 times more mugs than hats, this can be written as:

m = 3*h

Now we have the system of equations:

h + m = 1000

m = 3*h

To solve these, we usually start by isolating one of the variables in one equation and then replace that in the other equation, but in this case, we already have m isolated in the second equation, then we can replace that in the first equation to get:

h + m = 1000

h + (3*h) = 1000

Now we can solve this equation for h, and find the number of hats ordered.

4*h = 1000

h = 1000/4 = 250

There were 250 hats ordered.

3 0
3 years ago
PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 mont
xxTIMURxx [149]

Answer: $249,300

Step-by-step explanation:

The exact formula would be if I think this is right

PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity

= 1400(1-(1+.054/12)^-360)/(.054/12)

= $249,318.47

which you can round off to, say, $249,300 <------

note:

counterchechecked with a financial calculator

5 0
3 years ago
Multiply or divide as indicated. Y^-9•y^-8•y^10
BabaBlast [244]

Answer:

1 / y^7

Step-by-step explanation:

Y^-9•y^-8•y^10

= y^10 / y^9•y^8

= y^10 / y^17

= 1 / y^7

8 0
3 years ago
The quotient of a number and three, increased by one <br><br><br> Using the variable N
solniwko [45]
N÷3+1 or can be stated as 3÷n+1

5 0
3 years ago
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