Given f(x) = |x| and g(x) = 2x-3. Solve for (f ⚬ g)(x)

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5= 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

Answer:

r≤5

Step-by-step explanation:

Steps are in the photo. Hope this helps.

Answer:

0.0800

Step-by-step explanation:

Answer:

[tex]0.0769[/tex] rounded to the nearest hundred is: [tex]0.08[/tex]

Step-by-step explanation:

Rounded to the nearest 0.01 or

the Hundredths Place.

Hope this helps you!

Given :

A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day.

On day zero the population consists of five members.

Differential equation : [tex]\dfrac{dP}{dt}=0.4142P[/tex]

To Find :

The population size after eight days.

Solution :

Rate of growth , R = 0.4142 .

Now ,

Differential equation is :

[tex]\dfrac{dP}{dt}=0.4142P\\\\P_n=Ce^{0.4142n}[/tex]

For n = 0 .

[tex]5=C(1)\\C=5[/tex]

So ,the relation is [tex]P_n=5e^{0.4142n}[/tex] .

Putting n = 8 .

[tex]P_8=5e^{0.4142\times 8}\\\\P_8=137.42[/tex]

Hence , this is the required solution .

Answer:

x⁴ - 3x² - 2x - 2

Step-by-step explanation:

Step 1: Write out expression

(-3x² + 4x⁴ - 8x) - (-6x + 3x⁴ + 2)

Step 2: Distribute negative

-3x² + 4x⁴ - 8x + 6x - 3x⁴ - 2

Step 3: Combine like terms (x⁴)

x⁴ - 3x² - 8x + 6x - 2

Step 4: Combine like terms (x)

x⁴ - 3x² - 2x - 2

Answer:

B

0.388 centigrams :)

Answer:

Irrational

Step-by-step explanation:

Answer:

false. an irrational number multiplied to a zero equals an irrational number.

Answer:

x=3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Answer:

8- ff fj hfghgggģrdvbuhgffffgbhjjhhh

Answer:

10.29 meters per second and 10.26 meters per second

Step-by-step explanation:

200/ 19.44 = 10.29

100/ 9.75 = 10.26

Answer:

Option no. 1

Step-by-step explanation:

For the 200 meter race:

his speed is [tex]\frac{200}{19.44}[/tex] = 10.29 meters per seconds

For the 100 meter race:

his speed is [tex]\frac{100}{9.75}[/tex] = 10.26 meters per seconds

Step-by-step explanation:

f(x) = -5x + 2

f(7) = (-5)(7) + 2

= -35 + 2

= -33

Answer:

f (x) = -5x + 2.

= -5*7+2

= -13

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

Hey there!

ANSWER: [tex]4.5 \text { and }1800[/tex]

5% of what is 90?

If you want to find 5% of what is 90, you can try doing 90/5%.

[tex]90/5[/tex]%[tex]=1800(ANSWER)[/tex]

To get the decimal form, you can do 90*5%.

[tex]90*5[/tex]%[tex]=4.5(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

Then it's probably D. Right-Skewed

Answer:

0.9545

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/standard error,

where x is the raw score

μ is the population mean

Standard error = σ/√n

n = random number of samples

σ is the population standard deviation.

For x = 111

z = (x-μ)/standard error

= 111 - 115/20/√100

= -4 /20/10

= -4/2

= -2

Probalility value from Z-Table:

P(x≤ 111) = P(x = 111) = 0.02275

For x = 119

z = (x-μ)/standard error

= 119 - 115/20/√100

= 4 /20/10

= 4/2

= 2

Probability value from Z-Table:

P(x≤ 119) = P(x = 119) = 0.97725

The probability that a sample mean is between 111 and 119 gigabytes

P(-Z<x<Z)

= P(-2< x < 2)

= P(x = 119) - P(x = 111)

= 0.97725 - 0.02275

= 0.9545

Answer:

Rational. the square root of 3600 is a real, rational number, 60.

Step-by-step explanation:

Answer: Rational

Step-by-step explanation:

THREE WAYS TO DETERMINE:

If the number given is an integer, it is rational.

If the number given is fraction, it is rational.

If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)

----------------------------------------------------------

Square root of 3600=60

60

It is an integer, which fits the first point

Hope this helps!! :)

Answer:

I'll answer it

Step-by-step explanation:

do you need it now

Step-by-step explanation:

For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).

1) y = -0.5t² + 2t + 38

The maximum is at:

t = -2 / (2 × -0.5)

t = 2

The maximum height is:

y = -0.5(2)² + 2(2) + 38

y = 40

The coordinates of the vertex are (2, 40).  That means the missile reaches a maximum height of 40 km after 2 minutes.

2) y = -4.9t² + 12t + 1.6

The maximum is at:

t = -12 / (2 × -4.9)

t = 1.22

The maximum height is:

y = -4.9(1.22)² + 12(1.22) + 1.6

y = 8.95

The coordinates of the vertex are (1.22, 8.95).  That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.

3) y = -0.04x² + 0.88x

The maximum is at:

x = -0.88 / (2 × -0.04)

x = 11

The maximum height is:

y = -0.04(11)² + 0.88(11)

y = 4.84

The maximum height of the tunnel is 4.84 meters.

The maximum width is when y = 0.

0 = -0.04x² + 0.88x

0 = -0.04x (x − 22)

x = 22

The maximum width is 22 feet.

Answer:

0 is a rational, whole, integer and real number.

Step-by-step explanation:

0 is a rational, whole, integer and real number.

Answer:

-2 - 5

-(2+5)

=7

Answer: -7 °F

Answer:

(5.23x + 3.76) - (3.67x - 6.39)

K C C

(5.23x + 3.76) + (-3.67x + 6.39)

1.56x + 10.15

Step-by-step explanation:

Answer:

$66.6

Step-by-step explanation:

Given that,

The customer's bill is $333.00. Representatives can credit a customer's account up to 20% of the full  amount due on the bill.

We need to find 20% of $333 as follows :

[tex]=20\%\ \text{of}\ 333\\\\=\dfrac{20}{100}\times 333\\\\=\$66.6[/tex]

Hence, I could offer the customer a credit of $66.6. Hence, the correct option is (E).

Answer:

15 games

Step-by-step explanation:

9 divided by 0.75 = 12

12 + 3 free games = 15

Answer:

I do not see anything that matches what I got. I got x=14.2

Step-by-step explanation:

5x+9=80

5x=71

x=14.2

Answer:

-14 I believe

Step-by-step explanation:

Answer:

Its A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.  

L

=

329.9

c

m

2

;

S

=

373.9

c

m

2

.

b.  

L

=

659.7

c

m

2

;

S

=

483.8

c

m

2

.

c.  

L

=

659.7

c

m

2

;

S

=

813.6

c

m

2

.

d.  

L

=

329.9

c

m

2

;

S

=

483.8

c

m

2

.

Surface Area of a Cone:

In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

The radius of the cone is the same as the radius of the base.

Surface area of a cone

(a) Lateral Surface Area

If  

l

and  

r

are the slant height and radius of a cone then its lateral surface area is given by the formula-

L

=

π

r

l

where  

L

is the lateral surface area of the cone

(b) Total surface area

It is the sum of the area of the circular base and the lateral surface area of the cone.

S

=

L

+

π

r

2

S

=

π

r

l

+

π

r

2

Where  

S

is the total surface area of the cone

Answer and Explanation:

Given that the radius and slant height of a right cone is  

7

c

m

and  

15

c

m

respectively

r

=

7

c

m

l

=

15

c

m

So the lateral surface area of the cone-

L

=

π

r

l

L

=

π

(

7

)

(

15

)

L

=

105

π

L

=

105

(

3.14159

)

L

=

329.866

L

≈

329.9

c

m

2

And the total surface area of the cone-

S

=

L

+

π

r

2

S

=

329.9

+

π

(

7

)

2

S

=

329.9

+

49

(

3.14159

)

S

=

329.9

+

153.937

S

=

483.83

c

m

2

So the lateral area and total area of a right cone are  

329.9

c

m

2

and  

483.8

c

m

2

respectively.

Answer:

f⁻¹(7) = 1

Step-by-step explanation:

Step 1: Write out function

f(x) = 3x + 4

Step 2: Find f⁻¹(x) (or known as inverse f(x))

y = 3x + 4

x = 3y + 4

-3y + x = 4

-3y = 4 - x

y = -4/3 + x/3

Step 3: Plug in 7 into inverse f(x)

f⁻¹(7) = 7/3 - 4/3

f⁻¹(7) = 3/3

f⁻¹(7) = 1

Answer: Guy above me is right

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The slope-point formula is  y-y₁=m(x-x₁). So if you plug in your information you get C.

Answer:

42

Step-by-step explanation:

Answer:

42 is the answer because 7*6