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3 years ago

How to solve by using elimination

Mathematics

1 answer:

inessss [21]3 years ago

3 0

<span>Multiply the first equation by -4, to set up the x-coefficients to cancel. Take the value for y and substitute it back into either one of the original equations. Solution: In this example, we will multiply the first row by -3 and the second row by 2; then we will add down as before.</span>

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Peppermint candies per jar

Harlamova29_29 [7]

Leaf #2 because 27 and 23 are closest to 30

4 0

3 years ago

Which of the following is an example of an exponential function?

Orlov [11]

Answer: Choice D $p(\text{x}) = 500(1.02)^{\text{x}}$

Reason:

Exponential functions have the variable in the exponent.

Choice A is a polynomial, which means we can rule it out. Choice B is a log function, so we can rule it out also.

Choice C is a rational function because it is a ratio of two polynomials. This rules out choice C.

Choice D is the only function with the variable in the exponent. That is assuming you meant to say $p(\text{x}) = 500(1.02)^{\text{x}}$ instead of $p(\text{x}) = 500(1.02){\text{x}}$

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2 years ago

On Pennsylvania's interstate highway the speed limit is 65 mph. The minimum speed is 45 mph. Write a compound inequality that re

qaws [65]

Let x be the speed.

Maximum is 65 so x needs to be less than or equal to 65.

The minimum is 45, so x also has to be greater than or equal to 45

45 <= x => 65

6 0

3 years ago

A fruit stand sells apples, peaches and tomatoes. Today, they sold 4 apples for every 5 peaches. They sold 2 peaches for every 3

Brrunno [24]

Answer:

He sold 32 apples, 40 peaches and 60 apples.

Step-by-step explanation:

We are given that

4 apples are sold every 5 peaches and

3 tomatoes are sold every 2 peaches.

i.e. the ratio is apples: peaches = 4 : 5 ...... (1)

and the ratio peaches: tomatoes = 2 : 3 ...... (2)

Peaches are the common link here in both the ratio terms.

Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.

Multiply (1) by 2 and (2) by 5:

The ratio becomes;

apples:peaches = 8:10

peaches: tomatoes = 10:15

In other words, the ratio becomes:

apples:peaches:tomatoes = 8:10:15

Let the number of apples = $8x$

Let the number of peaches = $10x\\$

Let the number of tomatoes = $15x$

We are given that total fruits are = 132

$\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\$

So, number of apples sold = $8 \times 4 = 32$

Number of peaches sold = $10 \times 4 = 40$

Number of tomatoes sold = $15 \times 4 = 60$

7 0

3 years ago

Identify the dependent and independent variables in each situation.

klemol [59]

A. independent (x) - expenses, dependent (y) - total cost
B. independent (x) - area, dependent (y) - price
C. independent (x) - time, dependent (y) - distance
D. independent (x) - size of carton, dependent (y) - number of items

6 0

3 years ago

Read 2 more answers