7 ∫ cos(πx) dx
7 [ sin(πx)/π ]
7/π (sin(π/2) - sin(0))
7/π (1 - 0)
7/π ~ 7/3
<h3>Answer: m = -130</h3>
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m + 18 = - 112
m = -112 - 18
m = - 130
<3
When x=5, f(g(x)) would be (x-1/4)^2 - 3(x-1/4) + 3 which when you plug 5 in for x, you get 11.3125 as an answer
Answer: Ayden has 11 football cards,44 baseball cards and 51 Pokemon cards which totals 106 cards all together
Step-by-step explanation:
STEP 1 :
Let x represent number of football cards
He has four times as many baseball cards as football cards, let baseball cards be = 4x
Pokémon cards contain 7 more cards than his baseball collection,let Poke mon cards = 4x +7
Step 2 :
Putting in equation we have that
Football cards + Baseball cards + Pokemon cards = 106 cards
Therefore,
x + 4x + 4x+7 = 106
9x + 7 = 106
9x = 106-7
9x = 99
x =99/9 = 11
therefore football cards , x = 11 football cards
baseball cards = 4x = 4 x 11 = 44 baseball cards
Pokemon cards = 4x+7= 4x11 +7 = 44 +7 =51 Pokemon cards
I'll focus on problem 19 and problem 22
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Problem 19
Answers:
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Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
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Problem 22
Answer: y = 27
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Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
