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uranmaximum [27]
3 years ago
5

Write an equation for the line shown in the graph

Mathematics
1 answer:
koban [17]3 years ago
7 0

Answer:

y= -x+10

Step-by-step explanation:

ok, so the basic formula is y=mx+b

m=slope and b= the intercept

the line crosses the y-axis at 10, so we know that 10=b. it is a downward going slope, so its negative. the formula for slope is rise/run, or in our case, fall/run. for every 2 it falls, it runs 2. that is -2/2, which can be simplified to -1. looking at the graph , it's hard to comprehend the question at first and it took me multiple times looking at the graph. I hope I helped some!

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Which of the following shows the extraneous solution(s) to the logarithmic equation? log4 (x) + log4(x - 3) = log4 (-7x + 21)
Salsk061 [2.6K]
First join the log4 on the left:

log4( x*(x-3) = log4(-7x+21)

Then x = -7, works: -7*(-10)=70 = -7*(-7)+21

x=-3, 18 = 42, does not work

x=3 0=0 works,

However, when one puts x = -7 in the *original* exression, log4(-7) or log4(-10) do not exist (you know why?). So x= -7 is extraneous.

Now x=3 gives log4(0) on the left and right, which does not exist.

So, C is the answer, both are extraneous. Seem to work but indeed don't work in the *original* equation
 
6 0
3 years ago
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If John pays $144 for 9 pounds of pears, how much is each pound
Artist 52 [7]

Answer:

$16 per pound

Step-by-step explanation:

We want to find the price per pound.

Therefore, we must divide the cost by the pounds.

\frac{cost}{pounds}

We know it costs $144 for 9 pounds of pears. Therefore, $144 is the cost and there are 9 pounds.

\frac{\$144}{9 pounds}

Divide.

\$16 /pound

It costs $16 for each pound of pears.

5 0
3 years ago
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4. Sam Howard's bank charges a $1.23
Mamont248 [21]
The answer is D I know that because I do this all the time
8 0
3 years ago
39+5h+4g-2h i have been trying 2 work this out 4 ages so plz help
SIZIF [17.4K]
Unless you're given the value of the variables, you can't really solve for anything. The only thing you can do is simplify. 

<span>39+5h+4g-2h
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7 0
3 years ago
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Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The m
DaniilM [7]

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

y = -x^2 + 10x - 8

Required

The point where the trestle gets to the ground level

To do this, we set y = 0

So, we have:

-x^2 + 10x - 8 = 0

Multiply through by -1

x^2 -10x + 8 = 0

Solve using quadratic formula:

x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

Where:

a = 1; b =-10; c = 8

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x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}

x= \frac{-(-10) \± \sqrt{68}}{2*1}

x= \frac{-(-10) \± 8.25}{2}

x= \frac{10 \± 8.25}{2}

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x= 5 \± 4.125

Split

x= 5 + 4.125\ or\ x= 5 - 4.125

x= 9.125\ or\ x= 0.875

7 0
3 years ago
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