Sylvie finds the solution to the system of equations by graphing.y = x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?

Answers

Answer 1
Answer:

Answer:

the 2nd one

Step-y-step explanation:


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Which of the following is the solution to the equation 25^(z - 4) = 125 ? Select one: A. z = 5.5. B. z = 3.5. C. z = -2.5. D. z = -0.5.

Answers


given
25^(z - 4) = 125
ln(
25^(z - 4)) = ln (125)
(z-4)ln(25) = ln(125)
z = ln(125)/ln(25) + 4
z = 5.5

which means that the answer is A. 

The solution of 25^(z - 4) = 125 is equal to a. Z = 5.5

How to solve this equation

25^(z - 4) = 125

From here we have to the ln  of the equation

z-4 ln25 = ln125

z-4 (3.219)= 4.828

From here we have to multiply the equation

3.219z - 12.876 = 4.828

3.219z = 4.828 + 12.876

When we divide this equation by 3.219

We have z = 5.499

Hence z = 5.5

Therefore the solution to the equation is given as 5.5

Read more on solutions to equations here:

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Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of her marinara sauce requires 5 tomatoes and 1.25 cups of oil. She makes $4 profit on each quart of her Tuscan sauce and $5 profit on each quart of her marinara sauce. She has 45 tomatoes and 10 cups of oil on hand. Tiffany wants to maximize her profits from selling the sauce.Let x represent the number of quarts of Tuscan sauce and y represent the number of quarts of marinara sauce Tiffany makes.

What are the constraints for the problem?

Answers

Let x represent the number of quarts of Tuscan sauce and

y represent the number of quarts of marinara sauce Tiffany makes.

A quart of Tuscan sauce requires 6 tomatoes and 1 cup of oil

x quarts requires 6x tomatoes and 1x cups of oil

A quart of her marinara sauce requires 5 tomatoes and 1.25 cups of oil

y quarts requires 5y tomatoes and 1.25 y cups of oil

She has 45 tomatoes and 10 cups of oil on hand.

So the constraints are

6x + 5y <= 45

1x + 1.25y < = 10

x>=0 and y>=0

After drawing a digram of whatis required to make 1 quart of Tuscan and 1 quart of Marinara sauce, you can more clearly choose answer choice (B) 6x + 5y < (or equal to) 45, x + 5/4y < (or equal to) 10, x>(or equal to)0, y>(or equal to)0.

You make an initial deposit of $2500 in an account that offer 6% simple interest per year how much will be in the account after four years?

Answers

I think its 625, deeply sorry if it is not.

Answer:

$600

Step-by-step explanation:

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 13 feet per second. One​ day, the equipment elevator begins to descend. After 33 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 ​seconds? At that​ time, which elevator is​ deeper?

Answers

Answer:

The position of the equipment elevator is 180 feet deep

The position of the miner's elevator is 156 feet deep

The equipment elevator is deeper.

Step-by-step explanation:

From the question,

For the equipment elevator

Velocity (v) = 4 feet/second

and for the miner's elevator,

Velocity (v) = 13 feet/second

To determine the position of each elevator, the position can be related to the distance covered.

From

Velocity = Distance / Time

Distance = Velocity × Time

Now, from the question,

The equipment elevator first descends for 33 seconds, after which the miner's elevator then start to descend both elevators descend for another 12 seconds. That is, the equipment elevator descends for a total of (33+12) seconds while the miner's elevator descends for 12 seconds.

Now, for the equipment elevator

Velocity = 4 feet/second

Time = (33 + 12 seconds) = 45 seconds

From

Distance = Velocity × Time

Distance = 4 × 45

Distance = 180 feet

The position of the equipment elevator is 180 feet deep

For the miner's elevator,

Velocity = 13 feet/second

Time = 12 seconds

Also, from

Distance = Velocity × Time

Distance = 13 × 12

Distance = 156 feet

The position of the miner's elevator is 156 feet deep

Hence, the equipment elevator is deeper.

3456.0g to cg in scientific notation

Answers

Answer:

Scientific Notation : 3.456 × 10^3

Please can anyone solve 9n-10=4n+10

Answers

yes

remember you can do anything to an equaiton as long as you do it to boh sides
ad try to get unknown to one side
9n-10=4n+10
minus 4n both sides
9n-4n-10=4n-4n+10
5n-10=0+10
add 10
5n+10-10=0+10+10
5n+0=20
5n=20
divide both sies by 5
5n/5=20/5
5/5n=4
1n=4
n=4
9n-10=4n+10
+10           +10
9n=4n+20
-4n     -4n
5n =20
/5     /5
n=4
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