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3 years ago

The sum of three consecutive numbers is 96. What are the smallest of these numbers? Write and Solve an Equation.

Mathematics

2 answers:

zlopas [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Remark

The easy way to set this up is to make the smallest number x - 1. You will see why in a moment. It cuts down on one step)

Equation

(x - 1) + x + (x + 1) = 96 Remove the brackets

Solution

x - 1 + x + x + 1 = 96 Combine like terms

3x = 96 Divide by 3

x = 32

Note: that is not the smallest number. Remember, the smallest number is x - 1

So the smallest number is 31

vichka [17]3 years ago

4 0

Answer:

30+32+34

Step-by-step explanation:

so 30 would be the smallest number. Hope this helps, have a nice day!

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What is the slope of the line x=-3

mote1985 [20]

x = 3 is a vertical line that goes straight up and down at 3 on the x axis, vertical lines have a undefined slope. Don't confuse that with no slope which is a flat like like y=7.

so the slope is undefined

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3 years ago

Read 2 more answers

9) Complete the function table using the equation

PSYCHO15rus [73]

Answer:

I don't understand the arrangement of the "table." I'll assume the question wants to know the values of b as a increase from 2 to 6.

Step-by-step explanation:

The resulting table is attached.

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2 years ago

What is the inverse of the function f(x)= x +3

pshichka [43]

Hello,

if f(x)=y=x+3

x=y+3==>y=x-3

f^(-1) (x)=x-3 is the inverse function of f(x).

5 0

3 years ago

The manager of a fashionable restaurant open Wednesday through Saturday says that the restaurant does about 29 percent of its bu

RideAnS [48]

Answer: The seasonal relatives is calculated are as follows:

Step-by-step explanation:

Given that,

restaurant only open from Wednesday to Saturday,

29 percent of its business on Friday
31 percent on Saturday night
21 percent on Thursday night.

∴ The remaining 19% of its business he does on Wednesday

Now, suppose that total production of sales in a given week be 'y'

So, average sales in a week = $\frac{y}{4}$

If we assume that y = 1

hence, average sales in a week = $\frac{1}{4}$

= 0.25

Now, we have to calculate the seasonal relatives,

that is,

= $\frac{Sales in a given day}{average sales in a week}$

Wednesday:

= $\frac{0.19}{0.25}$

= 0.76

Thursday:

= $\frac{0.21}{0.25}$

= 0.84

Friday:

= $\frac{0.29}{0.25}$

= 1.16

Saturday:

= $\frac{0.31}{0.25}$

= 1.24

8 0

3 years ago

How do I find if this type of equation has one solution two solutions or no solution 5x^2+14=19 I tried using the b^-4ac method

mash [69]

Answer:

x = 5 and x = -19

Step-by-step explanation:

You're on the right track. It's the "discriminant" that tells you what you want to know here. Before starting, arrange the terms of your quadratic in descending orders of x: 5x^2 + 14x - 19 = 0 (Note that I assumed you meant 14x instead of just 14).

Then the coefficients of this quadratic are a = 5, b = 14 and c = -19.

You are referring to the "quadratic formula." It states this:

-b ± √(b²-4ac)

x = -----------------------

So, we insert the a, b and c values as indicated above:

-14 ± √( 14² - 4[5][-19] ) -14 ± √(196 - 4[5][-19] ) -14 ± √576

x = ----------------------------------- = ---------------------------------- = ----------------------

2(10) 20 20

This comes out to:

x = (-14 + 24) / 2 and x = (-14 - 24) / 2

or:

x = 5 and x = -19

8 0

3 years ago