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2 years ago

Terri's teacher gives her the equation 3(5)^x=127-2x, and tells her that she will not know how to solve it algebraically. Explai

n how Terri could use a graph to solve the equation, find the value of x to the nearest tenth

Mathematics

1 answer:

kirza4 [7]2 years ago

8 0

$f(x)=3\cdot5^x\ \ \ and\ \ \ g(x)=127-2x\\\\f(x)=g(x)\ \ \ \Leftrightarrow\ \ \ x\approx2.3043\\\\the\ graph\ in\ annex$

You might be interested in

Which number produces a rational number when multiplied by 0.4

Katyanochek1 [597]

A, B and D are already rational numbers, 0.4 itself is a rational number, two rational numbers make a product of rational number.
So A, B, D are the correct choices.

Are you sure it asks for rational numbers, not irrational number?

7 0

3 years ago

Read 2 more answers

Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet. How many ducks and how many cows does O

dlinn [17]

Answer:

The number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.

Step-by-step explanation:

We are given that Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet.

Let the number of ducks Old Mc Donald raises be 'x' and the number of cows Old Mc Donald raises be 'y'.

So, according to the question;

The first condition states that the animals have a total of 100 heads, that means;

$x+y=100$

$x=100-y$ -------------------- [equation 1]

{because one head of a duck and one head of cow}

The second condition states that the animals have a total of 354 feet, that means;

$2x+4y=354$

$x+2y=177$ --------------- [equation 2]

{because there are two feet of a duck and four feet of cow}

Now, putting the value of x in equation 2 we get;

$100-y+2y=177$

$y=177-100$

y = 77 cows

Putting this value of y in equation 1 we get;

x = 100 - y

x = 100 - 77 = 23 ducks

Hence, the number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.

4 0

2 years ago

Pryce Company owns equipment that cost $65,000 when purchased on January 1, 2012. It has been depreciated using the straight-lin

ki77a [65]

Monthly depreciation is calculated as follows:
65,000 (Cost) – 5,000 (Salvage Value) ÷ 60 (5 years X 12 months per year) = 1,000 in depreciation per month.

a) Accumulated depreciation from 1/1/12 to 1/1/15 is 36,000 (12 months for 2012, 2013, & 2014).
Assuming that sale was a Cash sale, the journal entry would look like this:
1/1/15
Cash (DR) 31,000
Accumulated Depreciation (DR) 36,000
Equipment (CR) 65,000
Gain on Sale of Equipment (CR) 2,000

b) Accumulated depreciation from 1/1/12 to 5/1/15 is 40,000 (12 months for 2012, 2013, 2014, & 4 months for 2015).
Assuming that sale was a Cash sale, the journal entry would look like this:
5/1/15
Cash (DR) 31,000
Accumulated Depreciation (DR) 40,000
Equipment (CR) 65,000
Gain on Sale of Equipment (CR) 6,000

c) Accumulated depreciation from 1/1/12 to 1/1/15 is 36,000 (12 months for 2012, 2013, & 2014).
Assuming that sale was a Cash sale, the journal entry would look like this:
1/1/15
Cash (DR) 11,000
Accumulated Depreciation (DR) 36,000
Loss on Sale of Equipment (DR) 18,000
Equipment (CR) 65,000

d) Accumulated depreciation from 1/1/12 to 10/1/15 is 45,000 (12 months for 2012, 2013, 2014, & 9 months for 2015).
Assuming that sale was a Cash sale, the journal entry would look like this:
10/1/15
Cash (DR) 11,000
Accumulated Depreciation (DR) 45,000
Loss on Sale of Equipment (DR) 9,000
Equipment (CR) 65,000

Not my answers, but I hope this will help you. :)

7 0

2 years ago

a baker makes cakes and sells them at county fairs his initial cost was $45 to reserve a booth and $25 traveling expenses. He fi

swat32

Sorry but I don't know this question

6 0

2 years ago

............................

prohojiy [21]

Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.

After flipping positions/eliminating the negative exponents it should look like this:

$\frac{ 2^{2} x^{3} }{ y^{5} }$
which simplifies to
$\frac{ 4 x^{3} }{ y^{5} }$
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
$\frac{4 (2)^{3} }{ (-4)^{5} }$
which simplifies to
$\frac{4(8)}{(-1024)} = \frac{32}{-1024} = - \frac{1}{32}$

Final Answer: - \frac{1}{32} [/tex]

4 0

2 years ago