F(x) = x² - 8x + 5
f(-1) = (-1)² - 8*(-1) + 5
= 1 + 8 + 5 = 14
f(-1) = 14.
Answer:
1) ven diagram #1
2)160
3) 420
4)16
Step-by-step explanation:
1) lets make a ratio table:
(look at image below, sorry for the horrible writing)
the original ratios are 18 and 17, and 18+17=35 35 is the number of students who play either or both sports. 30 is the number who play either sport:
so 35-30=5
5 students play both sports:
18-5=13(baseball)
17-5=12(basketball)
2) add up all the students who do band or sports and subtract from the total number of students
so
89/464+215/464= 304/464 students play in band or orchestra or both, to find the number of students who dont:
464-304=160
3) 630/1000+420/1000=1050/1000
1050/1000-210/1000=840/1000
840/1000-420/100=420/1000
420 ppl use brand p
4) 15+9=24
40-24=16
16 ppl
hope this helps!
Answer:
The correct answer is the first set {(-1, 8), (0, 5), (2, -1), (3, -4)}
Step-by-step explanation:
In order to determine if the set works, input each ordered pair to see if the statement ends up true. The first two ordered pairs are done below.
(-1, 8)
f(x) = -3x + 5
8 = -3(-1) + 5
8 = 3 + 5
8 = 8 (TRUE)
(0, 5)
f(x) = -3x + 5
5 = -3(0) + 5
5 = 0 + 5
5 = 5 (TRUE)
Answer:
x=29.9 degrees
Step-by-step explanation:
Sides we are given: x and side length of 92.
Angle we are given: angle of measure 18.
Relative to the angle we are given, we have the opposite and adjacent sides, so we use TOA, as O is opposite and A is adjacent.
Tangent 18= x/92
Tangent 18 (92)=x
x=29.9 degrees
Using the law of cosines and sines, the measure of angle B is: 38.4°.
<h3>What is the Law of Cosines and Sines?</h3>
Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]
Law of sines is: sin A/a = sin B/b = sin C/c
Use the law of cosines to find c:
c = √[12² + 18² ﹣ 2(12)(18)(cos 117)]
c ≈ 25.8
Use the law of sines to find angle B:
sin B/b = sin C/c
sin B/18 = sin 117/25.8
sin B = (sin 117 × 18)/25.8
sin B = 0.6216
B = sin^(-1)(0.6216)
B = 38.4°
Learn more about the law of cosines on:
brainly.com/question/23720007
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