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brilliants [131]
3 years ago
15

What is the solution of the system? 7x+5y=19 and -7x-2y=-16 Need help ASAP

Mathematics
1 answer:
Stells [14]3 years ago
3 0

Answer:

x = 2, y = 1

Step-by-step explanation:

  • 7x + 5y = 19
  • -7x - 2y = -16

Use the elimination method to solve the system of equations. Add the terms from top to bottom. 7x and -7x cancel out.

0 + 3y = 3

Divide both sides by 3.

y = 1

Substitute 1 for y into the first equation.

7x + 5(1) = 19

7x + 5 = 19

Subtract 5 from both sides.

7x = 14

Divide both sides by 7.

x = 2

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Which statement about the function f(x)=|x+3| is true?
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The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

What do you mean by absolute maximum and minimum ?

A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.

It is given that function is f(x) = |x + 3|.

We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.

So , if we put |x + 3| = 0 , then :

± x + 3 = 0

±x = -3

So , we can have two values of x which are either -3 or 3.

The value 3 will be absolute maximum and -3 will be absolute minimum.

Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

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5 0
1 year ago
What is the answer to this inequality 84 is no less than 7 times a number k
lyudmila [28]
84 is no less than 7 times K, 84 divided by 7= 12,
  
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5 0
3 years ago
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Angle 2 is 60. Find angle 8. <br><br> Options:<br> 140<br> 100<br> 40<br> 60
pav-90 [236]
Angle 8 is 60 too
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3 years ago
fathi has $1.10 in his printing account. each sheet of paper he uses reduces his printing account balance by $0.25. Fathi wants
Oksana_A [137]

Answer:

IF THE question is After Fathi prints, what will be the balance in his printing account?

then it is: $1.9

There are 47 pages.

Printing on both sides would divide the number of pages into half.

47/2 = 23.5

2 pages on each side would mean 4 pages on one sheet. Therefore, the number of pages will be further divided by 2.

23.5/2 = 11.75

There cannot be 11.75 pages so we will round it up to 12 pages.

Each page costs $0.25 so 12 pages will cost:

12 x 0.25 = $3

Faithi has $1.1 so new account balance will be:

1.1 - 3 = $-1.9

Therefore, Fathi's balance in his printing account would be negative $1.9.

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3 years ago
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You bought a magazine for $3 and two notepads. You spent a total of $13. How much did each notepad cost? *
sweet-ann [11.9K]

Answer:

$5

Step-by-step explanation:

We want to find the cost of a notepad considering a magazine costs $3 and we buy 2 notepads and the total cost of the magazine and the 2 notepads is $13 so we can set up an equation to represent this situation. Let 'n' be notepads and that's the value we are solving for so,

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⇒ Minus 3 from both sides to isolate 2n

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⇒ Divide both sides by 2 to find the cost of one notepad

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The cost of one notepad is $5 considering that a magazine cost's $3 and two notepads and total is $13.

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