Factor x^2 +5x - 14 ??

Mathematics

1 answer:

Mrrafil [7]3 years ago

8 0

Step-by-step explanation:

answer ; ( x - 2)( x + 7 )

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At a sporting event, the price for 3 cheeseburgers and 2 cups of lemonade is $14 and the price for 2 cheeseburgers and 4 cups of

crimeas [40]

C= the price of a cheeseburger and l = the price of a lemonade:

$3c + 2l=14\\2c+4l=12$

Divide the second equation by -2 to begin the process of solving by elimination:

$3c + 2l=14\\-1/2\ (2c+4l=12)\\\\3c+2l=14\\-c-2l=-6\\\\2c=8\\c=4$

Now that we have c, 4, we can plug it in to one of the equations to find l:

$3c + 2l=14\\3(4)+2l=14\\12+2l=14\\2l=2\\l=1$

So, each cheeseburger is $4 and each lemonade is $1. The final answer is:

1 cheeseburger and 2 cups of lemonade would cost $6.

6 0

3 years ago

Read 2 more answers

Learn with an example

alisha [4.7K]

Answer:

$105.

Step-by-step explanation:

After one year her annual rate (AR) will have been $5 (5 percent of her savings (s))

S+AR(5%) --> $100+5 --> $150 after one year.

5 0

3 years ago

If y varies inversely as x and y=3 when x=14, find x when y=6

alukav5142 [94]

X=7 What you can do is look at the first two values given, and make them x1 and y1. Then your next value here is y2.

So x1 is 14, and y1 is 3. y2 becomes 6. X2 is unknown.

Then make the formula: x1/y2 is equal to x2/y1
(You are setting two fractions equal to each other)

That makes 14/6=X/3. When we cross multiply, we find that x=7.

3 0

2 years ago

Greg swam 4 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The ra

ad-work [718]

Answer:

5 kmph

Step-by-step explanation:

Given: Greg swam 4 kilometers against the current.

Greg swam 16 kilometers with the current.

Rate of the current was 3kmph.

Lets assume the speed of greg swimming with no current be "x".

∴ Speed of swimming against current= $(x-3)\ kmph$