Answer:
x = 2.125 + 0.375y
Step-by-step explanation:
Simplifying
8x + -3y = 17
Solving
8x + -3y = 17
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
8x + -3y + 3y = 17 + 3y
Combine like terms: -3y + 3y = 0
8x + 0 = 17 + 3y
8x = 17 + 3y
Divide each side by '8'.
x = 2.125 + 0.375y
Simplifying
x = 2.125 + 0.375y
Answer:
150 degrees and 30 degrees
Step-by-step explanation:
Let's say the measure of the angle is x. This angle is 5 times that of its supplementary, supplementary angles will add up to 180 degrees. So we have an equation of x = 5(180-x). Solve this equation for x
x = 5(180-x)
x = 900 - 5x
6x = 900
x = 150 degrees, this is the value of one angle
The other angle is 180-x = 180-150 = 30 degrees
Because the boat travels the distance twice as fast when going 3 three miles/hour faster the original speed must be 3 miles/hour. so the distance upstream would be 21 miles/hour.
Certain sequences (not all) can be defined (expressed) in a "recursive" form. <span>
In a <span>recursive formula, </span>each term is defined as a function of its preceding term(s). <span>
[Each term is found by doing something to the term(s) immediately in front of that term.] </span></span>
A recursive formula designates the starting term,<span><span> a</span>1</span>, and the nth term of the sequence, <span>an</span> , as an expression containing the previous term (the term before it), <span>an-1</span>.
<span><span>The process of </span>recursion<span> can be thought of as climbing a ladder.
To get to the third rung, you must step on the second rung. Each rung on the ladder depends upon stepping on the rung below it.</span><span>You start on the first rung of the ladder. </span><span>a1</span>
<span>From the first rung, you move to the second rung. </span><span>a<span>2
</span> a2</span> = <span>a1 + "step up"
</span><span>From the second rung, you move to the third rung. </span><span>a3</span>
<span> a3 = a2 + "step up"</span>
<span><span>If you are on the<span> n</span>th rung, you must have stepped on the n-1st rung.</span> <span>an = a<span>n-1</span> + "step up"</span></span></span><span><span>Notation:<span> Recursive forms work with the term(s) immediately in front of the term being examined. The table at the right shows that there are many options as to how this relationship may be expressed in </span>notations.<span>A recursive formula is written with two parts: a statement of the </span>first term<span> along with a statement of the </span>formula relating successive terms.The statements below are all naming the same sequence:</span><span><span>Given TermTerm in front
of Given Term</span><span>a4a3</span><span>ana<span>n-1</span></span><span>a<span>n+1</span><span>an</span></span><span><span>a<span>n+4</span></span><span>a<span>n+3</span></span></span><span><span><span>f </span>(6)</span><span><span>f </span>(5)</span></span><span><span><span>f </span>(n)</span><span><span>f </span>(n-1)</span></span><span><span><span>f </span>(n+1)</span><span><span>f </span>(n)</span></span></span></span>
<span><span> Sequence: {10, 15, 20, 25, 30, 35, ...}. </span>Find a recursive formula.
This example is an arithmetic sequence </span>(the same number, 5, is added to each term to get to the next term).
Answer:
24
Step-by-step explanation:
8 x 3 = 24
3 x 8 = 24
1/8 × 3/3 = 3/24
2/3 × 8/8 = 16/24
The answer is D
