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2 years ago

If f(x)= x*2 +3 and g(x) = 4x + 1, what is f(g(2))?

Mathematics

1 answer:

enot [183]2 years ago

5 0

Answer:

f(g(2))=84

Step-by-step explanation:

Step one:

Given data

f(x)= x*2 +3

g(x) = 4x + 1

Step two

Let us find g(2) first then we proceed to find f(g(2))

g(2)=4(2) +1

g(2)=8+1

g(2)=9

Since g(2)=9

f(g(2))=x*2 +3

f(g(2))=9*2 +3

f(g(2))=81+3

f(g(2))=84

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Find the distance between (3,-6) and (2,-4). please help

Advocard [28]

Answer:

$\sqrt{99}$

Step-by-step explanation:

you can use the distance formula to find the distance between two given points.

the distance formula is:

$d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}$

so if you simply plug in you get:

$d = \sqrt{(2 - 3)^2 + (-4-(-6))^2}$

simplify

$d = \sqrt{(-1)^2 + (-10)^2}\\$

simplify again

$d = \sqrt{-1 + 100}\\$

and again

$d = \sqrt{99}\\$

and you have an answer

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3 years ago

Are anesthetics safe? The National Halothane Study was a major investigation of the safety of anesthetics used in surgery. Recor

iVinArrow [24]

Answer:

a) An experiment is conducted based on random observations not on certain selected observations.

b) age, blood type etc

Step-by-step explanation:

a) We call the National Halothane Study an observational study rather than an experiment, because the anesthetics were not randomly chosen. They were prescribed by the doctors.

An experiment is conducted based on random observations not on certain selected observations.

b) There are factors such as age, sex, intensity , limit, tolerance and reactivity of the patient with the particular anesthetics chosen. If these are not carefully studied the results may not be as rewarding as desired.

If an anesthetics is chosen wihtou knowing the age or blood type for tolerance it may result in dangerous situations.

Some patients are highly tolerant with certain medications but others may die.

7 0

2 years ago

Im confused, not sure how to do this. Please help me it is geometry, specifically perpendicular lines with an equation and a poi

marishachu [46]

The line y = -3 is a horizontal line. The perpendicular line will be vertical, so will have an equation of the form
x = c
for some constant c.

You want the vertical line to go through the point (4, -6), so the required value of c is the x-value of that point: 4

Your equation is
x = 4

7 0

3 years ago

#10 using the right angle below find the cosine of angle B.

Contact [7]

$\cos B = \frac{\text{adjacent side}}{\text{hypotenuse}} = \frac{5\sqrt{2}}{10} = \frac{\sqrt{2}}{2}=0.707$

4 0

3 years ago

Given the midpoint and one endpoint of a line segment, find the other endpoint.

neonofarm [45]

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

Co-ordinates of one endpoint = (-4 , -10)
Co-ordinates of the midpoint = (-8 , -4)

TO FIND :-

Co-ordinates of another endpoint.

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

$(x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )$