Answer:
Step-by-step explanation:
If we use polynomial division
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What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)
Three consecutive integers are . . . x, x+1, and x+2
The smallest two are . . . x and x+1
Their product is . . . . . x(x+1)
5 times the largest one is . . . 5(x+2)
5 less than that is . . . . . . 5(x+2)-5
Now, the conditions of the problem say that <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .
Eliminate parentheses: x² + x = 5x + 10 - 5
Combine like terms: x² + x = 5x + 5
Subtract 5x from each side: x² - 4x = 5
Subtract 5 from each side: <u>x² - 4x - 5 = 0</u>
You could solve that by factoring it, or use the quadratic equation.
Factored, it says that (x + 1) (x - 5) = 0
From which <em>x = -1</em>
and <em>x = +5</em>
We only want the positive results, so our three consecutive integers are
5, 6, and 7 .
To answer the question, the smallest one is <em><u>5 </u></em>.
<u>Check</u>:
5 x 6 ? = ? (7 x 5) - 5
30 ? = ? (35) - 5
30 = 30
yay !
Answer:
See explanation
Step-by-step explanation:
The question has conflicting details
and three halves doesn't sound correct.
So, I will take f(x) as
Next, solve for the inverse function
Replace f(x) with y
Swap x and y
Make 2y the subject
Make y the subject
Replace y with the inverse sign
So, now we can calculate any value from the original function and from the inverse function.
For instance:
<span>#1 is C
</span><span>#2 is B
</span>3a is On the circle
<span>3b is inside
</span><span>3d is on
</span><span>3e is outside
</span>
<span>4a is "You can find if a triangle is right by using the Pythagorean theorem or by using perpendicular lines"
</span><span>4b): Using the Pythagorean Side AC (which is √10 units long)^2 + side AB (which is √40 units long)^2 is equal to 50 (which is the length of side BC). Using perpendicular lines, you find that line AB has a slope of 1/3 and side AC has a slope of -3. Since these two are opposite reciprocals, they are perpendicular, which means that they form a 90 degree angle.
</span><span>5.) To find the midpoint, use the formula (x2+x1/2,y2+y1/2) by using the given coordinates, we find that the midpoint is (1,-2). This point lies in quadrant IV, so it is proven that it's midpoint lies in quadrant IV.
</span>
:)
Answer:
C
Step-by-step explanation:
Minus two equations , we got:
9x-9y= 132-(-12)
9x-9y=144
x-y=16
