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kicyunya [14]
3 years ago
13

Help please will give brainiest

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0

Answer:

the first one

Step-by-step explanation:

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Question 11 of 45
Bezzdna [24]

Answer:

You are only given a Side, an Angle, and then a side.  So that is what I would choose.  It can't be AA because you weren't given two angles.  It can't be SSS because you weren't given 3 sides.

Step-by-step explanation:

3 0
3 years ago
Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
F(x) = 2(x - 3)^2 - 2
Natali5045456 [20]

Hi. I was unsure of what exactly you wanted from this equation, so here's a quick analysis:

<em>f(x) = 2(x - 3)^2 - 2</em>

<em></em>

Domain: (-∞, ∞)

Range: (-2, ∞)

X-intercepts: (4, 0), (2, 0)

Y-intercept: (0, 16)

Axis of Symmetry: x = 3

Minimum value (vertex): (3, -2)

Standard form: y = 2x^2 - 12x + 16

4 0
3 years ago
Tomas has $45.00 to purchase favors for a party. If the favors are $3.75 each, how many favors can Tomas buy?
elena-14-01-66 [18.8K]
12 is right^^^^^^^^^^^^
5 0
3 years ago
Read 2 more answers
Please Answer numbers 4 and 5<br> Due Tomorrow! Please Answer with Explanation ;) thank you
Aleks [24]

Answer:

Median is the middle number

Mean is the average

Step-by-step explanation:

for #4

order the tree heights from the least to greatest and the middle number would be your median. If you have an even amount (no middle) then add the two middle numbers and dived it by 2

for # 5

Add the numbers all up on a calculator then dived by the amount of numbers you added.

Really simple :)

Hope that helps!

7 0
3 years ago
Read 2 more answers
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