Answer:
7x+6
Step-by-step explanation:
Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?
Simplified Expression:
3(x + 4) + 2(2x – 3)
3x+12+2(2x-3)
3x+12+4x-6
7x+6
Answer:
True.
Step-by-step explanation:
For example let f(x) = 3x + 1 then f-1(x) is found as follows
Let f(x) = y = 3x + 1 then
3x = y - 1
x = (y-1) / 3
x = f-1(x) = (x - 1)/3.
So:
Replacing the x in y by (x - 1)/3 :-
x = f(-1)(y) = ( (3x + 1) - 1) / 3
= 3x / 3
= x.
So y = f(x).
Answer:
option b)
tan²θ + 1 = sec²θ
Step-by-step explanation:
The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions.
hypotenuse² = height² + base²
Given in the questions are some pythagorus identities which except of b) are all incorrect as explained below.
<h3>1)</h3>
sin²θ + 1 = cos²θ incorrect
<h3>sin²θ + cos²θ = 1 correct</h3><h3 /><h3>2)</h3>
by dividing first identity by cos²θ
sin²θ/cos²θ + cos²θ/cos²θ = 1/cos²θ
<h3>tan²θ + 1 = sec²θ correct</h3><h3 /><h3>3)</h3>
1 - cot²θ = cosec²θ incorrect
by dividing first identity by sin²θ
sin²θ/sin²θ + cos²θ/sin²θ = 1/sin²θ
<h3>1 + cot²θ = cosec²θ correct</h3><h3 /><h3>4)</h3>
1 - cos²θ = tan²θ
not such pythagorus identity exists
Common ratio can be found by dividing the 2nd term by the first
r = 48/6
r = 8
an = a1 * r^(n-1)
n = term to find = 8
a1 = first number = 6
r = common ratio = 8
now we sub
a(8) = 6 * 8^(8-1)
a(8) = 6 * 8^7
a(8) = 6 * 2097152
a(8) = 12582912 <==
For the
writer, <span><span>there are 20
1.
</span>1
+ 39 = 40</span>
<span><span>
2.
</span>2
+ 38 = 40</span>
<span><span>3.
</span>3
+ 37 = 40</span>
<span><span>4.
</span>4
+ 36 = 40</span>
<span><span>
5.
</span>5
+ 35 = 40</span>
<span><span>
6.
</span>6
+ 34 = 40</span>
<span><span>7.
</span>7
+ 33 = 40</span>
<span><span>8.
</span>8
+ 32 = 40</span>
<span><span>
9.
</span>9
+ 31 = 40</span>
<span><span>10.
</span>10
+ 30 = 40</span>
<span><span>
11.
</span>11
+ 29 = 40</span>
<span><span>
12.
</span>12
+ 28 = 40</span>
<span><span>13.
</span>13
+ 27 = 40</span>
<span><span>
14.
</span>14
+ 26 = 40</span>
<span><span>
15.
</span>15
+ 25 = 40</span>
<span><span>
16.
</span>16
+ 24 = 40</span>
<span><span>
17.
</span>17
+ 23 = 40</span>
<span><span>
18.
</span>18
+ 22 = 40</span>
<span><span>
19.
</span>19
+ 21 = 40</span>
<span><span>
20.
</span>20
+ 20 = 40</span>