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4 years ago

How many solutions are there for this system of equations? y= 2x + 8 y= 2x + 6

1 answer:

8 0

There are no solutions because when you do 2x+8=2x+6, you cancel out the like terms which leaves you with 8=6 which is not true.

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33) Given the graphs of f(x) = x - 1 and g(x) = -x - 7, what is the solution to the equation f(x) = g(x)?

neonofarm [45]

Answer:

Step-by-step explanation:

The solution is the point of intersection of the 2 lines

The lines intersect at (- 3, - 4 ), then

f(x) = g(x) has solution x = - 3

6 0

2 years ago

kenzie bought a shirt for $18. the next day she saw the shirt was selling for 24.60. what is the percent increase

Luba_88 [7]

You are trying to solve what percent of the difference between $26.60 and $18 is of $24.60, so:

$24.60 - $18 = $6.60

24.60x = $6.60
x = 6.60/24.60
x = 0.2683

So the percent increase is 26.83%

3 0

3 years ago

A mechanic buys $14.56 worth of parts from a supplier. If he pays for the parts with a $20 bill, how much change will he receive

GarryVolchara [31]

$20-$14.56=$5.44

The mechanic would get $5.44 back as change.

8 0

3 years ago

Read 2 more answers

Alex bikes 2 3/4 miles. Then, she runs 1 2/4 miles. The distance she bikes is how many times the distance she runs?

anastassius [24]

Answer:

The distance she bikes is 11/6 times as much as the distance she runs.

Step-by-step explanation:

Alex bikes 2.75 miles, runs 1.5 miles. The distance she bikes is 2.75/1.5 times as much as the distance she runs.

The distance she bikes is 11/6 times as much as the distance she runs.

7 0

3 years ago

Read 2 more answers

What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>

4 0

3 years ago