What is the greatest common factor of 12xy^5 + 60x^4y^2 – 24x^3y^3??
О6xy^2
о6xy^5
o12xy^2
o3x^4y^5

Go from right to left in such function questions

a. f(g(x))

⇒ f(4x + 1)

⇒ (4x + 1)² - 2

⇒ 16x² + 8x + 1 - 2

⇒ 16x² + 8x - 1

b. g(f(x))

⇒ g(x² - 2)

⇒ 4(x² - 2) + 1

⇒ 4x² - 7

Answer:

[tex]f[g(x)]=16x^2+8x-1[/tex]

[tex]g[f(x)]=4x^2-7[/tex]

Step-by-step explanation:

Given functions:

[tex]f(x)=x^2 - 2[/tex]

[tex]g(x) =4x + 1[/tex]

[tex]f[g(x)][/tex] means to substitute g(x) in place of x in f(x):

[tex]\begin{aligned}\implies f[g(x)] & =[g(x)]^2-2\\ & =(4x+1)^2-2\\ & = (4x+1)(4x+1)-2\\ & = 16x^2+8x+1-2\\ & = 16x^2+8x-1\end{aligned}[/tex]

[tex]g[f(x)][/tex] means to substitute f(x) in place of x in g(x):

[tex]\begin{aligned}\implies g[f(x)] & =4[f(x)]+1\\ & = 4(x^2-2)+1\\ & = 4x^2-8+1\\ & = 4x^2-7\end{aligned}[/tex]

Answer:

63

Step-by-step explanation:

Using the formula attached, we can setup the equation:

[tex]211 + (38 - 1) - 4[/tex]

Then using a calculator you can solve

The required 38th term of the given arithmetic sequence is 63.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

here,
Given sequence,
211,207,203,...
First term, a = 211
Common difference, d = 207 - 211 = -4

Now.
Nth term of an arithmetic progression,
Nth term = a + (n -1)d
Nth term of given sequence
Nth term = 211 - (n - 1)4

Now, put n = 38
38th term = 211 - (38 - 1)4
38th term = 211 - [37](4)
38th term = 211 - 148 = 63

Thus, the required 38th term of the given arithmetic sequence is 63.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2

Step-by-step explanation:

1) Ans 3

2) Ans 6

3) Ans 4

4) Ans 1/5

5) Ans 1/23

Answer:

x = 1.79 to x = 3

Step-by-step explanation:

I think this is correct because the linear function grows at a constant rate so the point where the exponential function's line starts going up faster means that the growth rate is increasing. At the point (1.79,7.17) is when both lines intersect but the exponential function is growing at a faster rate than the linear function.

Answer:

x = 1.79 to x = 3

Step-by-step explanation:

If the value of n is a positive integer then the first term is always positive. Then the correct option is C.

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

The binomial expression is given (a – b)ⁿ.

If the value of the n is positive then the condition will be

There is a negative sign between a and b so it is impossible to have all the terms positive as well as negative.

But the first term will always be positive.

More about the binomial expansion link is given below.

https://brainly.com/question/12249986

Answer:c

Step-by-step explanation:

edge 2022 slay

Answer:

4%

Step-by-step explanation:

You can use the formula below to find the simple interest rate.

Simple interest = P r t / 100

Here,

P ⇒ Principle ⇒ $ 5000

r ⇒ rate ⇒ ??

t ⇒ time ⇒ 6 years

simple interest ⇒ $ 1200

Let us find it now.

Simple interest = P r t / 100

1200 = 5000 × r × 6 / 100

1200 × 100 = 30000r

120000 = 30000 r

Divide both sides by r.

4 = r

Therefore, the interest rate is 4%

Answer:

22.5

Step-by-step explanation:

Radius = Circumference/(2*PI)

Recall some identities:

tan(x) = sin(x) / cos(x)

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

This means we have

• cos²(90° - x) = [cos(90°) cos(x) + sin(90°) sin(x)]²

… = sin²(x)

• tan(180° - x) = sin(180° - x) / cos(180° - x)

… = [sin(180°) cos(x) - cos(180°) sin(x)] / [cos(180°) cos(x) + sin(180°) sin(x)]

… = sin(x) / (-cos(x))

… = -tan(x)

(and we also get sin(180° - x) = sin(x))

• cos(180° + x) = cos(180°) cos(x) - sin(180°) sin(x)

… = -cos(x)

So, the given expression reduces to

sin²(x) (-tan(x)) (-cos(x)) / sin(x) = sin²(x)

since tan(x) and cos(x)/sin(x) = 1/tan(x) will cancel.

Answer:

6

Step-by-step explanation:

PLS GIVE ME BRAINILIEST!

Answer: The Slope Is 3/4

Step-by-step explanation:

y = 3/4x + 2

This is given in slope intercept form y = mx+b where m is the slope

Parallel lines have the same slope

The slope is 3/4y = 3/4x + 2

Answer:

x is - 7

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

just divide the circumference by 3.14

Answer:

diameter= 16.2338

Step-by-step explanation:

D = C/π

=> D = 51/3.14

D = 16.2338

D = 16.2

The simulation tool to use is (d) a bag containing 12 chips in three different colors, with four of each color

From the question, we have the following parameter:

Group, n = 3

The probability of selecting a group is:

p = 1/3

This means that the simulation tool to select must have a probability value of 1/3

From the question, the option (d) has a probability of 1/3

This is so because, we have:

So, the probability of selecting each color is 4/12 or 1/3

Hence, the simulation tool to use is (d)

Read more about probability at:

https://brainly.com/question/251701

Answer:

a bag containing 12 chips in three different colors, with four of each color

and i think

a six-sided number cube

Step-by-step explanation:

plato?

Answer:

I decided to use the actual formula this time and got 25.7

Step-by-step explanation:

first we find the length of the arc of bca

360-65

so its 295

then after I use the arc length formula which is

x/360 times 2(pie)r

295/360 times 2(pie)5

295/360 times 31.4159

9267.6983/360 (I multplied 295 and 31.4159)

Then we divide and get

25.743

Step-by-step explanation:

hope you have a great day going so far today

By the vertical angle theorem, the two angles '5y + 12' and '82' are equal

    ⇒ [tex]5y + 12 = 82[/tex]

        [tex]5y = 70\\y = 14[/tex]

Thus x = 14

Hope that helps!

p.s. Definition of Vertical Angle Theorem: angles that are opposite each other and formed by two intersecting straight lines, are congruent

p.s. Diagram for what is Vertical Angle Theorem:

Answer:

y = 14

Step-by-step explanation:

82° = (5y + 12)°

5y = 82 - 12

5y = 70

y = 14

    {calculate carefully{

If 32 superscript 2 c baseline = 8 superscript c 7 is the given expression then the value of c is 3.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

The given equation is 32 superscript 2 c baseline = 8 superscript c 7

[tex]32^{2c} = 8^{c+7}[/tex]

Write the expression in exponents form as

[tex](2^5)^{2c} = (2^3)^{c+7}[/tex]

[tex](2)^{10c} = (2)^{3c+21}[/tex]

Comparing the base,

10c = 3c + 21

10c - 3c = 21

7c = 21

c = 21/ 7

c = 3

Therefore, the value of c is 3.

Learn more about exponents;

https://brainly.com/question/5497425

Answer:

l = 14 inches , b = 6 inches

Step-by-step explanation:

multiply length l and breadth b by the scale factor , then

new length = [tex]\frac{2}{5}[/tex] × 35 = 2 × 7 = 14 inches

new breadth = [tex]\frac{2}{5}[/tex] × 15 = 2 × 3 = 6 imches

Answer:

I`m not really sure what i`s asking to solve but here`s my best answer.

5x + 3 - 5.70 = 2x + 10y + 3.60

3x + 3 - 5.70 = 10y + 3.60

3x + 3 = 10y + 9.30

3x = 10y + 6.30

^^^That`s the most it can be simplified without any new fractions or decimals

3x = 10y + 6.30

x = 3.33y + 2.10

^^^That`s the most it can be simplified to solve for x.

Answer:

193

Step-by-step explanation:

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

3+1 can be simplified to 4

6 times 9 is 54

(4)(54)-23

216-23

193

Answer:

y=-x²+3x+5.

Step-by-step explanation:

1) the common view of the quadratic function is y=ax²+bx+c, where a, b and c - numbers;

2) according to the equation above, it needed to substitute the given coordinates and to make up the system of the equations:

point (0;5): c=5;

poit(1;7): a+b+5=7 ('c' is already known, 5);

point(-2;-5): 4a-2b+5=-5 (c=5);

3) to solve the system:

[tex]\left \{ {{a+b+5=7} \atop {4a-2b+5=-5}} \right. \ = > \ \left \{ {{a=-1} \atop {b=3}} \right.[/tex]

4) finally, if a=-1, b=3 and c=5, then

y=-x²+3x+5.

Answer:

Option 2

Step-by-step explanation:

Divide the co efficient of 'x' by 2 and the square the result.

14 ÷2 = 7

7² = 49

To make it a perfect trinomial, 49 should be added

x² +14x + 49 = x² + 2*x *7  + 7²        {Compare with a²+ 2ab + b² = (a +b)²}

                   = (x +7)²

Answer:

diameter = 400 m

Step-by-step explanation:

Perimeter of circle = pi * d

 400 pi                  = pi * d

d = 400 meters  

Answer:

C

Step-by-step explanation:

3(7x)=21x

-2(4-x)= -8+2x

21x-8+2x=23x-8

Answer:

given,

area= 756cm^2

h = 18cm

a = 39cm

then,

area = (a+b)h/2

756 = (39+b)18/2

756= 351+9b

756-351= 9b

405 = 9b

405/9= b

b = 45cm

Answer:

343.97

Step-by-step explanation:

price of vending machine is 100% = 324.50

100% + 6% sales tax = 106%=1.06

324.50*1.06

343.97

Answer:

A

Step-by-step explanation:

BD = 12

BC = 12/2 => 6

using Pythagoras theorem

AB² = AC² + BC²

AB² = 3² + 6²

AB² = 9 + 36

AB² = 45

AB = √45 (A)

Answer:

3

Step-by-step explanation:

(-15) + 18 = 3

We can check our answers by adding 15 to 3 when doing inverse operations.

Answer:

3

Step-by-step explanation:

-15 + 18 = 3