3 times 5 equals 15.
The numbers that satisfy both conditions are 3 and 5.
To find two numbers that multiply to 15 and add up to positive 2,
we can use algebraic reasoning.
Let the two numbers be x and y.
We know that:
x * y = 15 (they multiply to 15).
x + 2 = y (they add up to positive 2).
Now we can use these two equations to solve for x and y.
From equation (2), we can express y in terms of x:
y = 2 + x
Now, substitute this expression for y into equation (1):
To factor the quadratic equation, we need to find two numbers whose product is -15 and whose sum is 2.
The two numbers are 5 and -3.
So, we can rewrite the equation as:
(x + 5)(x - 3) = 0
Set each factor to zero and solve for 'x'.
x + 5 = 0 or x - 3 = 0
For the first factor:
x + 5 = 0
x = -5
For the second factor:
x - 3 = 0
x = 3
we can see that the two numbers that multiply to 15 and add up to 2 are 3 and 5.
3 * 5 = 15
3 + 5 = 8
So, the numbers that satisfy both conditions are 3 and 5.
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°° Awesome question!
I'll show you how to solve this kind of question:
First, you can multiply 9 times any number to see if it's smaller than 67. If it is, it is OK to keep multiplying 9 by more numbers. Let's try this!
9 × 1 obviously equals 9, so we can keep going up.
9 × 2 = 18. Not quite there yet!
Sometimes it is OK for you to skip some numbers, Watch:
9 × 5 = 45. We can keep going. At this point you don't need to go backwards and do9 × 3 or 9 × 4, because the products will only get farther away from 67.
9 × 6 = 54. We're getting closer!
Let's try to skip one number:
9 × 8 = 72 - HOLD UP! Oh no! We went over a little too much!
Let's try a number in between 6 and 8 - That would be 7, right?
9 × 7 = 63 - We were right on point! Obviously you can't multiply 9 by 8 again because you would get a bigger number - the 72.
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That was just one way to go about it, but there's another way, too!
You can divide 9 by 67 and see what you get. You may have a remainder, but you can just throw that out the window when we're all done:
9 ÷ 67 = 7.4444444444444444 The 4 just repeats on and on again, and we don't want that. So just throw those 4's out the window so you're left with 7.
Based on all this work, 9 goes into 67 7 times.
↑ ↑ ↑ Hope this helps! :D
b)describe what the slope and y intercept represent.
Answer:
The answer is 70
Step-by-step explanation:
Just add 40 and 30 and you'll get your answer
To find the value of y, set up an equation where y + (-30) = 40. Solve for y by isolating it on one side of the equation.
To solve this problem, we can set up an equation using the information given. Let's represent the unknown number, which is the sum of y and -30, as x. We can write the equation x = 40. To find the value of x, we'll need to isolate it by performing the opposite operation of adding -30, which is adding 30 to both sides of the equation. This gives us x + 30 = 70. Finally, subtracting 30 from both sides gives us x = 70.
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