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4 years ago

Evaluate the expression when g=3 and h=21 . h-6g

Mathematics

2 answers:

ycow [4]4 years ago

6 0

Answer:

Step-by-step explanation:

Substitute 3 in for g and 21 in for h

h-6g

21-6(3)

Multiply first

21-18

Subtract

Hope this helps!

Mila [183]4 years ago

5 0

Answer:

Step-by-step explanation:

So all we have to do is plug the values into the variables:

(21) - 6(3)

Now we just have to solve the pieces in the parentheses:

21 - 18

So we get 3.

Hope this helps :)

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Given f(g(x)) = 15x+1 and f(x) = 5x+1. What is g(x)?<br><br> Please answer quickly!!

natka813 [3]

Suppose you are given the two functions f (x) = 2x + 3 and g(x) = –x2 + 5. Composition means that you can plug g(x) into f (x). This is written as "( f o g)(x)", which is pronounced as "f-compose-g of x". And "( f o g)(x)" means " f (g(x))".

7 0

4 years ago

Right Triangle ABC has sides of length 5 units, 12 units and 13 units. The triangle is dilated by a scale factor of 3 around poi

NNADVOKAT [17]

Answer:

Step-by-step explanation:

Multiply each # by 3 so 15 36 39

(15x36)/2=270

I'm sorry if its wrong.

4 0

3 years ago

Find a particular solution to the differential equation y′′+2y′+y=2t2−t+3e−2t. y′′+2y′+y=2t2−t+3e−2t.

Jlenok [28]

$y''+2y'+y=2t^2-t+3e^{-2t}$

The characteristic equation is

$r^2+2r+1=(r+1)^2=0\implies r=-1$

so the characteristic solution is

$y_c=C_1e^{-t}+C_2te^{-t}$

For the particular solution, we can try looking for a solution of the form

$y_p=at^2+bt+c+de^{-2t}$
$\implies{y_p}'=2at+b-2de^{-2t}$
$\implies{y_p}''=2a+4de^{-2t}$

Substituting into the ODE, we have

$(2a+4de^{-2t})+2(2at+b-2de^{-2t})+(at^2+bt+c+de^{-2t})=2t^2-t+3e^{-2t}$
$at^2+(4a+b)t+(2a+2b+c)+de^{-2t}=2t^2-t+3e^{-2t}$
$\implies\begin{cases}a=2\\4a+b=-1\\2a+2b+c=0\\d=3\end{cases}\implies a=2,b=-9,c=14,d=3$

So the general solution to the ODE is

$y=y_c+y_p$
$y=C_1e^{-t}+C_2te^{-t}+2t^2-9t+14+3e^{-2t}$

4 0

3 years ago

I need some help with this question.

zysi [14]

The scale factor will be 1.5. The corresponding angles are congruent because the size is changed not the angles.

<h3>What is dilation?</h3>

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

Adnan wants a larger garden.

He draws the triangle ΔPQR to show his original garden.

He wants to enlarge a garden, so he uses a dilation to form the image of the triangle ΔPQ'R'.

He uses vertex P as the center of the dilation.

The ratio of the corresponding sides will be given as

PQ'/PQ = Q'R'/QR = R'P/RP = 1.5

The scale factor will be 1.5.

The corresponding angles are congruent because the size is changed not the angles.

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ1

7 0

2 years ago

What is the area of the triangle when the sides are 6 7 and X

Sonbull [250]

Answer:

firgure it out yourself because no one helps me

Step-by-step explanation:

5 0

3 years ago

Evaluate the expression when g=3 and h=21 . h-6g​

Evaluate the expression when g=3 and h=21 . h-6g