Answer:
You would use the formula y=mx+b, where m is the slope and b is the y intercept.
Step-by-step explanation:
If the slope was 1/2 and the y intercept was 2, it would be y=1/2x+2
<span>Solutions
1) Equation
</span>⇒ <span><span>(<span><span>2x</span>+3</span>)</span><span>(<span>x−4</span>)
</span></span>⇒<span><span>(<span><span>2x</span>+3</span>)</span><span>(<span>x+<span>−4</span></span>)
</span></span>⇒<span>(2x)(x)+(2x)(−4)+(3)(x)</span>+<span>(3)(−4)
</span>⇒2
<span><span><span>−<span>8x</span></span>+<span>3x</span></span>−12
</span>⇒2
<span><span>−<span>5x</span></span>−<span>12
Answer - </span></span>2
<span>−5x−12</span><span>
</span>
Answer:
–0.5
Step-by-step explanation:
Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.
The odd rolls are 1, 3 and 5. The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.
The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.
The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.
Rolling any even number gives us the same value. The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.
Together we have
1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5
<h3>
Answer: 37</h3>
========================================================
Work Shown:
We have a triangle with sides a,b,c such that
The third side c can be represented by this inequality
b-a < c < b+a
which is a modified form of the triangle inequality theorem.
Plug in the given values to get
b-a < c < b+a
20-17 < c < 20+17
3 < c < 37
The third side length is between 3 and 37; it cannot equal 3, and it cannot equal 37. So we exclude both endpoints.
Of the answer choices, the values {7,20, 12} are in the range 3 < c < 37.
The value c = 37 is not in the range 3 < c < 37 because we can't have the third side equal to either endpoint. Otherwise, we get a straight line instead of a triangle forming.
So that's why 37 is the only possible answer here.
Answer:
5. ST 6. AT
Step-by-step explanation:
For a product to be divisible by a number, one of the factors must be that number. This can be achieved by one of the consecutive numbers being that number, or a multiple of that number.
5. 4 x 5 x 6 = 120 which is divisible by 5
1 x 2 x 3 = 6 which is not divisible by 5
6. 1 x 2 x 3 = 6 which is divisible by 6
2 x 3 x 4 = 24 which is divisible by 6
3 x 4 x 5 = 60 which is divisible by 6
4 x 5 x 6 = 120 which is divisible by 6
And now we will just repeat ourselves.
