what is 5 1/6 (-2/5) written as a fraction

Answer & Step-by-step explanation:

When we see (f * g)(x), it means that we are going to be multiplying f(x) and g(x) together.

f(x) = 3x + 1

g(x) = x² - 6

(3x + 1)(x² - 6)

Multiply each term from the first parentheses to the second parentheses.

3x³ - 18x + x² - 6

Combine like terms and make sure the expression is in standard form.

3x³ + x² - 18x - 6

So, your answer will be letter choice B.

Answer:

m = [tex]\frac{f+1}{7}[/tex]

Step-by-step explanation:

f = 4m + 3m -1

f = 7m - 1

Adding 1 to both sides

f+1 = 7m

Dividing both sides by 7

m = [tex]\frac{f+1}{7}[/tex]

Answer:

m= (f+3)/(f-4)

Step-by-step explanation:

It is not clear from the question, but I assume it is:

so the solution is:

Answer:

Step-by-step explanation:

The graph of a function and its inverse will always reflect through the line

y = x.

This is because a function has a specific set of coordiates, (x, y). That function's inverse has a set of coordinates that flips the x and y coordinates. For example, if a function has a set of coordinates (0, 1), (2, 3), (4, 5) then its inverse will have the coordinates (1, 0), (3, 2), (5, 4). If you plot the function's points and then the inverse's points in the same plane (meaning on the same graph) and connect the dots, you will see that the function and its inverse are reflections of each other through y = x. Below is an example of this. The dotted purplish line is the line y = x.

Answer:

not B

Step-by-step explanation:

I took the test

Answer:

x=100

Step-by-step explanation:

50/x=10/20 and 10/50=20/x

50/x=10/20

Cross multiplication

50*20=x*10

1000=10x

x=1000/10

x=100

Check:

50/100=

Divide by 5

10/20

10/50=20/x

Cross multiplication

10*x=50*20

10x=1000

x=1000/10

x=100

They are the same because the fraction that has the unknown both have the same ratio

Answer:

The anser is d edge 2020 lol

Step-by-step explanation:

Answer:

a=15

Step-by-step explanation:

[tex]a^{2} =9*25\\a^{2} =225\\\\\sqrt{a} =\sqrt{222\\a=15[/tex]

Hope it helps

Answer: FE  is  7 and RS  is  6.

Step-by-step explanation:

13 - 6 = 7  

11-5= 6

Answer:

FE = 7

RS = 6

Step-by-step explanation:

for the first line, we know that line GE is 13 units long, and segment GF is 6 units. simply subtract 6 from 13 to get the length of segment FE.

13 - 6 = 7

You can do the same thing for the second problem.

11 - 5 = 6

hope it helps!

Answer:

{-12,12}

Step-by-step explanation:

-|-x| = -12 multiply both sides by -1

|-x| = 12 apply rule for solving absolute value equations

-x = 12 and -x = -12 solve

x = -12 and x =12

Step-by-step explanation:

1 to 2. object 1 is moved 6 units down, and rotated 180° towards the left

2 to 3. object 2 is moved 6 units right

Answer:

Step-by-step explanation:

Recall the logic quantifiers [tex]\forall, \exists[/tex] which means for all/for every and exists.

a) This means that for every student in D that is a computer science this implies that the student is not an engineering student. So for a student s in D such that C(s) then  E(s) is false. This is symboled by

[tex]\forall s \in D C(s) \implies \neg E(s)[/tex]

b) By saying "some computer science students" this means that there exists some studenst that study computer science and are also math majors. This is symboled by

[tex]\exists s \in D C(s)\land M(s) [/tex]

Answer:

C.) m = 2 and b = -8

Step-by-step explanation:

Generally:

In an equation of the form y = mx + b

the slope is m

the y-intercept is b

In our equation y = 2x - 8 = 2x + (-8)

then

m = 2  and  b = -8

Answer:

18 x, 36y.

Step-by-step explanation:

18x, 36y.

The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?

So y: 2x (since its double the x)

So

2x = 4x - 36

Doing the math....

18x. since y= 2*x, 36y.

(I got help for this one, credits to jess :) )

hope this helps! :)

The value of X is 18.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of X and Y = 1 : 2

This means,

X/Y = 1/2

X = x

Y= 2x

Now,

y = 4x - 36

From (2),

2x = 4x - 36

36 = 4x - 2x

36 = 2x

x = 18

Now,

From (1),

X = x = 18

Thus,

The value of X is 18.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2

Answer:

a = 21

Step-by-step explanation:

If x = h is a zero of a polynomial then f(h) = 0, thus

p(- [tex]\frac{1}{3}[/tex] ) = 27( - [tex]\frac{1}{3}[/tex] )³ - a(- [tex]\frac{1}{3}[/tex] ) - (- [tex]\frac{1}{3}[/tex] ) + 3 = 0, that is

27 (- [tex]\frac{1}{27}[/tex] ) - [tex]\frac{1}{9}[/tex] a + [tex]\frac{1}{3}[/tex] + 3 = 0

- 1 - [tex]\frac{1}{9}[/tex] a + [tex]\frac{10}{3}[/tex] = 0 ( multiply through by 9 to clear the fractions )

- 9 - a + 30 = 0

- a + 21 = 0 ( subtract 21 from both sides )

- a = - 21 ( multiply both sides by - 1 )

a = 21

Answer:

Step-by-step explanation:

Given the equation cos(22f − 1) = sin(7f + 4), the following steps must be followed in order to get the value of f;

From the trigonometry identity, sin(90-theta) = cos theta.

cos(22f-1) = sin (90-(22f-1))

cos(22f-1) = sin (90-22f+1)

cos(22f-1) = sin (91-22f)... 3

substituting eqn 3 into the original equation given, we will have;

sin (91-22f) = sin(7f + 4)

91-22f = 7f+4

7f+22f = 91-4

29f = 87

f = 87/29

f = 3

A correct option is an option (a)

Given function is,

[tex]cos(22f-1) = sin(7f + 4)[/tex]

As we know the relation,

[tex]cosx=sin(90-x)[/tex]

Now, apply the above relates to the given function.

[tex]cos(22f − 1) = sin(7f + 4)\\sin(90-(22f-1))=sin(7f + 4)\\90-22f+1=7f+4\\-22f-7f=4-91\\-29f=-87\\f=3[/tex]

So, the required value is [tex]f=3[/tex]

Read More:https://brainly.com/question/16638358

Answer:

Alveoli forms the respiratory surface in human body.Each alveolus is sac like structure bounded by a single layer of epithelial cells.It is bound on the outside by a network of capillaries. The pulmonary artery from the heart containing deoxygenated blood enters the lungs and then becomes oxygenated after passing in the capillaries through the lungs.

Answer:

This is an enlargement.

Step-by-step explanation:

This is an enlargement.

A reduction would be smaller

A rotation would be changing the angle and a reflection would be a mirror image

Answer:

Area = πr^2

= π * 5^2

= 25π

Circumference = 2πr

= 2 * π * 5

= 10π

Answer:

C= 10, A= 25

Step-by-step explanation:

d= 10 in

r= d/2= 5 in

C= 2πr= 2π*5= 10 π in

A= πr²= π*5²= 25 π in²

Answer:

Option (A). 363 units²

Step-by-step explanation:

Surface area of the rectangular pyramid = Area of the rectangular base + Area of the lateral sides of the pyramid

Area of the rectangular base = Length × Width

                                                = 11 × 11

                                                = 121 units²

Area of the lateral sides = 4(Area of one lateral side)

                                        = 4[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]]

                                        = 2(11)(11)

                                        = 242 square units

Area of the rectangular pyramid = 121 + 242

                                                      = 363 square units

Therefore, Option (A) will be the answer.

Answer:

[tex] \boxed{x = 15,y = 17} [/tex]

Step-by-step explanation:

[tex]Vertically \: opposite \: angles \: area \: equal \\ \\ So, \\ \\ = > 7x \degree + 7\degree = 112\degree \\ \\ = > 7x\degree = 112\degree - 7\degree \\ \\ = > 7x\degree = 105\degree \\ \\ = > x\degree = \frac{105}{7} \degree \\ \\ = > x\degree = 15\degree \\ \\ \\ \\ Supplementary \: angles \: add \: up \: to \: 180 \degree \\ \\ So, \\ \\ = >4y\degree + 112\degree = 180\degree \\ \\ = > 4y\degree = 180\degree - 112\degree \\ \\ = > 4y\degree = 68\degree \\ \\ = > y \degree= \frac{68}{4} \degree \\ \\ = > y\degree = 17\degree[/tex]

Find the values of x and y.

Step-by-step explanation:

C : x = 17,y = 15

Answer:

491.8cm

Step-by-step explanation:

v=1/3*π*r^2*h

v=1/3*π*8.5^2*6.5

491.8

Answer:

491.8

Step-by-step explanation:

i did the question it was right

Answer:

The average is mean

Mean is the sum of all the numbers divided by the total so the first prime numbers which are grater than 10 are 11, 13, 17, 19.

So we will add these

11+13+17+19=60

60/4= 15

SO 15 is the answer

Answer:

6/7

Step-by-step explanation:

Total number of jerseys = 4 + 3 = 7

Now, the probability of picking a purple Jersey = number of purple jerseys/total number of jerseys = 3/7

Now let’s look at picking a jersey with even number

Even number jerseys are yellow two and yellow four and also purple two

So we have 3 even numbered jersey. The probability of picking an even numbered jersey is 3/7

In probability, once we have or, we add

The probability of picking an even numbered jersey or a purple jersey = 3/7 + 3/7 = 6/7

Answer:

We need to subtract both equations. 2x3+30x-130-2x3+3x+520

that gives

30x-130+3x + 520

33x+390

D is answer

Answer:

D. 33x + 390

Step-by-step explanation:

Profit is the difference between revenue and cost so subtract the given polynomials:

2x³ + 30x – 130 - (2x³ – 3x – 520) = 2x³ + 30x – 130 -2x³+3x+520

combine like terms: 33x +390

Answer:

here down is the answer

(2y/5y)^3+4y^2+6y

8y^3/125y^3 +16y^2+6y

8/125+16y^2+6y

8/125+16y^2+6y=0

16y^2+6y+8/125=0

it is in the form of quadratic equation

formula :

x=(-b+-square root of b^2-4ac) /2a

here a=16,b=6&c=8/125

x=(-b+-square root of b^2-4ac)/2a

x=(-6+-square root of 36-4.09)/2a here 4.09 came by calculation

x=(-6+-31.91)/2

so

x=(-6+31.91)/2 first (+);

x=25.91/2

x=12.955;

x=(-6-31.91)/2 then(-);

x=-37.91/2

x=-18.955 ;

ans is = 12.955&-18.955;

Answer:

[tex]6x^{7} +15x^{5}[/tex]

Step-by-step explanation:

[tex]3x^{5}[/tex]([tex]2x^{2} +4+1[/tex])

Multiply [tex]3x^{5}[/tex] by each term in the parentheses.

[tex]6x^{7}[/tex] + [tex]12x^{5} +3x^{5}[/tex]

Now, all you have to do is simplify.

[tex]6x^{7} +15x^{5}[/tex]

Answer:

7

Step-by-step explanation:

Using the exact values for

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then

2(cos²45° + tan²60°)

= 2( ([tex]\frac{1}{\sqrt{2} }[/tex] )² + ([tex]\sqrt{3}[/tex] )² )

= 2( [tex]\frac{1}{2}[/tex] + 3 )  ← distribute

= 1 + 6

= 7

Double angle identity:

[tex]\cos(2\theta)=2\cos^2\theta-1[/tex]

If you know [tex]\cos\theta[/tex], just plug it in.

Answer:

(0, 3 ) and (- 3, 0 )

Step-by-step explanation:

Where the line crosses the y- axis the x- coordinate is zero.

Substitute x = 0 into the equation and solve for y

y = 0 + 3 = 3

Thus the y- intercept is (0, 3 )

Where the line crosses the x- axis the y- coordinate is zero.

Substitute y = 0 into the equation and solve for x

0 = x + 3 ( subtract 3 from both sides )

- 3 = x

Thus the x- intercept is (- 3, 0 )