Answer:
a + b =1
Step-by-step explanation:
Write the given quadratic as x^2 – 1x – 90 = 0. This factors into
(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.
If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.
I will solve your system by substitution.<span><span><span><span>2x</span>+<span>3y</span></span>=2</span>;<span><span>x+<span>6y</span></span>=<span>4x</span></span></span>Step: Solve<span><span><span>2x</span>+<span>3y</span></span>=2</span>for x:<span><span><span><span>2x</span>+<span>3y</span></span>+<span>−<span>3y</span></span></span>=<span>2+<span>−<span>3y</span></span></span></span>(Add -3y to both sides)<span><span>2x</span>=<span><span>−<span>3y</span></span>+2</span></span><span><span><span>2x</span>2</span>=<span><span><span>−<span>3y</span></span>+2</span>2</span></span>(Divide both sides by 2)<span>x=<span><span><span><span>−3</span>2</span>y</span>+1</span></span>Step: Substitute<span><span><span><span>−3</span>2</span>y</span>+1</span>forxin<span><span><span>x+<span>6y</span></span>=<span>4x</span></span>:</span><span><span>x+<span>6y</span></span>=<span>4x</span></span><span><span><span><span><span><span>−3</span>2</span>y</span>+1</span>+<span>6y</span></span>=<span>4<span>(<span><span><span><span>−3</span>2</span>y</span>+1</span>)</span></span></span><span><span><span><span>92</span>y</span>+1</span>=<span><span>−<span>6y</span></span>+4</span></span>(Simplify both sides of the equation)<span><span><span><span><span>92</span>y</span>+1</span>+<span>6y</span></span>=<span><span><span>−<span>6y</span></span>+4</span>+<span>6y</span></span></span>(Add 6y to both sides)<span><span><span><span>212</span>y</span>+1</span>=4</span><span><span><span><span><span>212</span>y</span>+1</span>+<span>−1</span></span>=<span>4+<span>−1</span></span></span>(Add -1 to both sides)<span><span><span>212</span>y</span>=3</span><span><span><span><span>212</span>y</span><span>212</span></span>=<span>3<span>212</span></span></span>(Divide both sides by 21/2)<span>y=<span>27</span></span>Step: Substitute<span>27</span>foryin<span><span>x=<span><span><span><span>−3</span>2</span>y</span>+1</span></span>:</span><span>x=<span><span><span><span>−3</span>2</span>y</span>+1</span></span><span>x=<span><span><span><span>−3</span>2</span><span>(<span>27</span>)</span></span>+1</span></span><span>x=<span>47</span></span>(Simplify both sides of the equation)Answer:<span><span>x=<span><span><span>4/7</span><span> and </span></span>y</span></span>=<span>2/<span>7
is what i got sorry if it don't help</span></span></span>
12 is the answer
12 goes into all threee
The probability of there being zero males is given by:
Similarly the probability of there being zero females is also 1/16.
The probability there will be at least 1 male and 1 female is therefore:
The answer is: 7/8.
Answer:
8
Step-by-step explanation:
2 : 4
8 : 16
