Given: g(a) = 3a +2 and f(a)= a2 - 1
Find: f(a-1)= g(a-1)

Answer:  360 yards

(Assuming the question is "How many yards are needed."

Step-by-step explanation:  (8 sheets)*(45 yards/sheet) = 360 yards

Answer:

Step-by-step explanation:

jigger boo jigger boo how can I say jigger boo

Answer:

Step-by-step explanation:

Answer:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

Or:

[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]

Step-by-step explanation:

We are given two complex numbers:

[tex]\displaystyle m + ni \text{ and } p + qi[/tex]

Where m, n, p, and q are real numbers.

And we want to determine the relationship among m, n, p, and q such that the product of the two complex numbers will only have an imaginary part.

Find the product:

[tex]\displaystyle \begin{aligned} (m+ni)(p+qi) &= p(m+ni) + qi(m+ni) \\ &= (pm + pni) + (qmi + qni^2) \\ &= (pm + pni) + (qmi - qn) \\ &= (pm - qn) + i(pn + qm) \end{aligned}[/tex]

Therefore, for the product to have only an imaginary part, the real part must be zero and the imaginary part must not be zero. That is:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

In conclusion, the relationship between m, n, p, and q is:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

Or:

[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]

(Note: I couldn't understand the provided answer choices, but the above answer is indeed correct (and the second equation can be ignored).)

Answer:

a = 9

b = 2

Step-by-step explanation:

Given : a = 9

a = b + 7

9 = b + 7

b = 9 - 7 = 2

Answer:

4

Step-by-step explanation:

Add the 2 and the other 2 to get 4.if you gave 2 apples and your friend has 2 apples when you combine them then count them it will give you 4

Answer:

B.a tangent sometimes gives you irrational numbers

Answer:

Step-by-step explanation:

a) Age of Jeff = j

Tina's age = j - 4

b) j = 15 years

Tina's age = 15 - 4 = 11 years

j = 20 years

Tina's age = 20 - 4 = 16 years

j = 58 years

Tina's age = 58 - 4 = 54 years

Answer:

Step-by-step explanation:

6)b) Sin A - x Cos A = 0

Sin A = x Cos A

[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]

[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]

[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]

         [tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]

          = LHS

7a) 1 - Sin A = 1/2

     [tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]

⇒ A = 30°

Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]

[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]

LHS = 6 Sec² A + 9 tan² A

       [tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]

9514 1404 393

Answer:

  49

Step-by-step explanation:

The sum of 5 numbers that have an average of 30 is ...

  sum = 5×30 = 150

The numbers below the median need to be as small as possible, so that the remaining numbers can be as large as possible. If the two numbers below the median are both 1, then the sum of the remaining 3 must be ...

  150 -1 -1 = 148

The median will be as large as possible when the least of the remaining three numbers is as large as possible. That will be the case when those three numbers are all the same.

  148/3 = 49.333...

Since the numbers must be integers, the possible values for the high three numbers are 49, 49, 50.

In the set {1, 1, 49, 49, 50}, the mean is 30 and the median is 49. This value is the largest possible median for this set.

Answer:

Step-by-step explanation:

AC² = AD² + DB ²

25 = AD² + 9

AD²= 25 - 9

AD² = 16

AD = 4

Area = 4*3 /2

= 6cm

Answer:

64w^2

Step-by-step explanation:

Because 8w is in parentheses, you must apply the exponent to both the 8 and w.

So, it becomes (8*8)(x*x) which equals (64)(x^2).

Which then gives you your final answer, 64x^2.

Answer:

No, you've already proven it's not irrational by writing it as 6/3.  You get 2.  

Step-by-step explanation:

An irrational number is any number that cannot be written as a fraction.

Answer:

-300

Step-by-step explanation:

[ 6 × 2 + 2 - [ -6 ] ] [ -5 + | [ - 18 ÷ 6 ]|]

[ 12 + 2 - [ -6 ] ] [ -5 + | [ - 3 ]|]

[ 12 + 2 - [ -6 ] ] [ -5 + 3]

[ 12 + 2  + 6  ] [ -5 + 3]

(20)(-15)

-300

Answer: 2

Step-by-step explanation: 2 times 6 and 2 times 15

Answer:

60

Step-by-step explanation:

We can keep adding both numbers to itself until they have a similar multiple.

12, 24, 36, 48, 60

30, 60

Best of Luck!

Answer:

15 is greater than 10

Step-by-step explanation:

Good luck with Maths and other subjects!

Please mark Brainliest..:-)

The greatest common factor of 15 and 10 is 5

Answer: 19 macaroons

Step-by-step explanation:

Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.

33=x+x+5

33=2x+5

33-5=2x+5-5

28=2x

28/2=2x/2

14=x

This means that Em made 14 macaroons.

14+5=19

Therefore, Jim baked 19 macaroons.

Answer:

it would be false

Step-by-step explanation:

Answer:  x = 6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

4x + 5 = 6x - 7

     -5           -5

4x = 6x - 12

-6x   -6x

-2x = -12

/-2    /-2

x = 6

Answer:

F(1) = - 1

Step-by-step explanation:

F(x) = 2x-3

F(1) = 2(1)-3 (plug in 1 for x because 1=x)

F(1) = 2-3 (multiply 1 and 2)

F(1) = - 1

Answer:

Option A

Step-by-step explanation:

y + 2 = 5(x - 4)

y + 2 = 5x - 20

y - 5x = -20 - 2

y - 5x = -22

Putting x as 0

y - 5(0) = -22

y = -22

Hence,

(0,-22)

Answer:

(0,5)

Is the right answer

Answer:

Altitude is 215.7ft

c^2 = 215.7ft

Step-by-step explanation:

Altitude means the line of vertex in a triangle that makes a right angle.

Such line forms a perpendicular line to one of the lines within a triangle and either makes a new triangle with 1 line or is a third line of a triangle and is therefore a smaller size to the slope.

Both this found measurement with the other small side must total more than the slope, but when all sides given are squared they must equal the amount of the slope or be the difference when the other perpendicular line is subtracted from the slope, if this was not true a triangle would have wrong term names.

Side^2  + base^2 = slope^2

Vertex^2 + perpendicular^2 = slope^2

= a^2 + b^2 = c^2

So here when given a right angle measure we can use Pythagoras theorem.

274^2 - 169^2 = c^2

sq rt 75076 - sq rt 28561 = c^2

sq rt 46515 = 215.673364 = 215.7

c^2  = 215.7ft

Bare in mind there is no diagram if checkpoint 1 is halfway between the slope then it is a different method and repeat of two slopes.

Therefore the slopes need to be identified if the main slope is split by the vertex line given.

Answer:

According to my equation it's 20°

Answer:

it's between 3 and 4

Step-by-step explanation:

3x3=9

4x4=16

Answer:

x + 2 + 3x = 30

Step-by-step explanation:

Both lengths are unknown, but Ginny's car length is described in terms of Zach's car length, so we choose a variable for Zach's car length.

Let x = Zach's car length.

Zach's car length is x.

"Ginny's car is 2 more than 3 times the length of Zach's car."

Ginny's car length is 2 + 3x.

Add the lengths:

x + 2 + 3x

"The sum of the lengths of both cars is 30 inches."

x + 2 + 3x = 30

Answer: x + 2 + 3x = 30