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3 years ago

The second of two numbers is 8 less than twice the first number, what are the two numbers?

2 answers:

5 0

$x\ \ \rightarrow\ \ the\ first\ number\\y\ \ \rightarrow\ \ the\ second\ number\\\\ y=2\cdot x-8\\\\for\ example:\\\\x=-2\ \ \ \Rightarrow \ \ \ y=2\cdot(-2)-8=-4-8=-12\\x=0\ \ \ \Rightarrow \ \ \ y=2\cdot0-8=0-8=-8\\x=7\ \ \ \Rightarrow \ \ \ y=2\cdot7-8=14-8=6\\$

Mashutka [201]3 years ago

3 0

So the two numbers can be represented as x and y

so x is first and y is second

y=2(x)-8

so y=2x-8

IF THEY ARE CONSECUTIVE
If they are consecutive numbers then
x+1=y
subtitute
x+1=2x-8
subtract x from both sides
1=x-8
add 8 to both sides and get
9=x
put it into the equation and get
y=2(9)-8
y=18-8
y=10
so x=9
y=10
IF X AND Y ARE CONSECUTIVE INTEGERS (1,2,3,4 not 2.3 or 1,3,5,8)

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2 years ago

Reduce the ratio: $1.20: 60 cents

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2 years ago

Find the opposite of -25 25 -25 1/25 -1/25

kolbaska11 [484]

The opposite of -25

to find the opposite of a number, just switch the sign
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2 years ago

The cost function for a certain company is c = 50x + 600 and the revenue is given by r = 100x − 0.5x2. Recall that profit is rev

goblinko [34]

The quadratic equation is: $p=-0.5x^2+50x-600$ and the two values of $x$ will be 40 and 60 that will create a profit of $600.

Explanation

The cost function is: $c=50x+600$ and

The revenue function is: $r=100x-0.5x^2$

As the profit means $(Revenue-Cost)$ , so the Profit function will be....

$p= r-c\\ \\ p=(100x-0.5x^2)-(50x+600)\\ \\ p=100x-0.5x^2-50x-600\\ \\ p=-0.5x^2+50x-600$

So, the quadratic equation is: $p=-0.5x^2+50x-600$

Now for creating a profit of $600 means, we will plug $p=600$ into the above equation. So.....

$600=-0.5x^2+50x-600\\ \\ 0.5x^2-50x+1200=0 \\ \\ 0.5(x^2-100x+2400)=0\\ \\ 0.5(x-40)(x-60)=0$

Now applying zero-product property.....

$x-40=0\\ x=40\\ \\ and\\ \\ x-60=0\\ x=60$

So, the two values of $x$ will be 40 and 60 that will create a profit of $600.

4 0

2 years ago

The area is ___ square units

valentinak56 [21]

Answer:

364 square units

Step-by-step explanation:

For this problem we can break the shape into a triangle and square then add them together to get the area. We know that the are of a square is side*side so we do 14*14 to get the area of that. Then we can do 1/2*base*height for the area of the triangle and we can use a side of the square as the base. We still need to find the height so we do pythagorean theorem using half the base and the 25 as the hypotenuse. So we do 25^2=7^2+Height^2 after rearranging we can do 25^2-7^2=Height^2 and find that the height is equal to 24. Then we simply plug in all the numbers like (1/2*14*24)+(14*14) to get 364

4 0

2 years ago