Given that f(x).....question and answers in the pic

Answer:

2x^-4  or 2/x^4.

Step-by-step explanation:

We replace the x in f(x) by g(x).

f(g(x)) =  2 (x^-2)^2

= 2 x^(-2*2)

= 2x^-4

= 2/x^4.

Answer:

probability that Stu buys a sandwich and gets the bus = 0.35

Step-by-step explanation:

Probability of success of two independent events is the product of the respective probabilities, i.e. the multiplication rule.

P(Sandwich) = P(S) = 0.5

P(Bus) = P(B) = 0.7

Assuming the events are independent,

probability that Stu buys a sandwich and gets the bus

= P(SB) = P(S)*P(B) = 0.5*0.7 = 0.35

Answer: 0.35

Step-by-step explanation:

First there is a 50% chance, or a 0.5 chance that Stu gets a sandwich.  Then, ignoring the other .5, there is a .7 chance that he makes the bus.  Thus, 1/2 of .7 is 0.35.

Hope it helps <3

Answer:

blue marble

Step-by-step explanation:

Probability is how likely something is to happen. Between the three colors, blue has the greatest probability, meaning it will most likely be selected.

0.5 > 0.2

0.5 > 0.3  

Answer:

-5.7

Step-by-step explanation:

OUR EQUATION IS A QUADRATIC EQUATION

Let Δ be our dicriminant :

Answer:

The coordinates of r' are x = 10 and y = 12.

Step-by-step explanation:

The vertex experiments two operations: Dilation and translation, whose definitions are presented herein:

Dilation with respect to origin

[tex](x',y') = (0,0) + 3\cdot (x,y)[/tex], [tex]\forall \,x,y \in \mathbb{R}[/tex]

Translation

[tex](x',y') =(x+4,y)[/tex], [tex]\forall\,x,y\in \mathbb{R}[/tex]

If [tex]x = 2[/tex] and [tex]y = 4[/tex], then:

1) [tex](2,4)[/tex] Given.

2) [tex](0,0) + 3\cdot (2,4)[/tex] Dilation with respect to origin.

3) [tex](6,12)[/tex] Vectorial sum and scalar multiplication.

4) [tex](6+4,12)[/tex] Translation.

5) [tex](10,12)[/tex] Vectorial sum. Result.

The coordinates of r' are x = 10 and y = 12.

Answer:

10,12 is the answer

Step-by-step explanation:

I just did it on a p e x

Answer:

D. Congruent - SAS

Step-by-step explanation:

Two sides and the included angle of a triangle are congruent to the corresponding parts of another triangle.

The triangles are congruent by SAS.

Answer:

-8.

Step-by-step explanation:

You can get the y-intercept when you find the y-value when x = 0.

y = x^2 - 8

y = 0^2 - 8

y = 0 - 8

y = -8

So, the y-intercept is -8.

Hope this helps!

Answer:

y = -8, if x2 mean 2 times x.

y = -7, if x2 mean X^2

Step-by-step explanation:

Y-intercept mean x = 0.

Plug x = 0, into the parabola, you get the answer.

Answer:

Step-by-step explanation:

4-3x≥7

4-7≥3x

-3≥3x

or

3x≤-3

x≤-1

Answer:

second option

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here r = x and h = 2x , thus

V = π × x² × 2x = 2πx³

open the picture I wrote the explanation there

Answer:

C. 4c+20

Step-by-step explanation:

If 4 buses are filled with kids, to get how many kids there are in total you would have to multiply the number 4, to represent the buses, times the number of kids in 1 bus, represented by C in this case. Then you would add 20 kids to represent the number of kids traveling in cars.

With that you have 4c+20.

Answer:

3

Step-by-step explanation:

We use Order of Operations BPEMDAS.

Step 1: Multiply

12 - 15/3(2) + 1

Step 2: Divide

12 - 5(2) + 1

Step 3: Multiply

12 - 10 + 1

Step 4: Subtract

2 + 1

Step 5: Add

3

Answer: 3

Step-by-step explanation:

PEMDAS

P: No parenthesis

E: No exponents

M and D: 4x3 = 12(12-15÷3×2+1), 15÷3 = 5(12-5×2+1), 5*2 = 10(12-10+1)

A and S: 12-10 = 2(2+1), 2+1=3(3)

Answer:

see below

Step-by-step explanation:

sqrt(20)

sqrt(4*5)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(4) sqrt(5)

2 sqrt(5)

Answer:

We can factor down 20 with it's greatest prime GCF, which is 5. We get a 4. When we factor that down the same way, we get 2. If we repeat that process, we get 5, 2, and 2, which turns into [tex]2\sqrt{5}[/tex].

Answer:

[tex]\boxed{\sf \ \ \ -2(x+4)(x-3)^3 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

let's note k a real, we can write the polynomial as

[tex]k(x-(-4))^1(x-3)^3=k(x+4)(x-3)^3[/tex]

and we know that f(0)=216 so

[tex]216=k(0+4)(0-3)^3=k*4*(-1)^3*3^3=-27*4*k=-108k\\\\<=> k=-\dfrac{216}{108}=-2[/tex]

So the solution is

[tex]-2(x+4)(x-3)^3[/tex]

hope this helps

Answer:

It would be changing by which a person thinks.

But, I will pick 569.124.

It would be 5.69124e2. (or 5.6912 x 10^3)

Answer:

569.124

Step-by-step explanation:

Answer:

R$ 27,00

Step-by-step explanation:

R $ 72,00 = Um bolo de morango + dois quilos de bolo de chocalate

Um bolo de morango = R$ 18,00

R $ 72,00 = R$ 18,00 + Dois quilos de bolo de chocalate

Dois quilos de bolo de chocalate = R$72,00 - R$18,00

= R$54,00

Dois (2) quilos de bolo de chocalate = R$54,00

Um (1) quilo de bolo de chocalate = x

2x = R$ 54,00

x = R$ 54,00/2

x = R$ 27,00

Um quilo do bolo de chocolate = R$27,00

Answer:

$7.02

Step-by-step explanation:

Price of 92 sheets = 92 * $0.50 = $46

Price of 2 packages = 2 * $19.99 = $38.98

Savings = $46 - $38.98 = $7.02

Answer:

5

Step-by-step explanation:

Perimeter of the rectangle: 3+7+3+7=20

Square perimeter is same as rectangle, so square perimeter is also 20.

Side length is 20/4, which is 5

Answer:

Solution,

Summation FX= 5+10+6+12+X

=33+x

N(total no.of items)=5

Now,

Mean= summation FX/N

or 9=33+X/5

or 9*5=33+X ( cross multiplication)

or 45=33+X

or -x=33-45

or -x=-12

X=12

Hope this helps...

Good luck on your assignment..

Answer:

x = 12

Step-by-step explanation:

The mean calculated by adding all the numbers of a set and dividing it by the total number of numbers. In this case, we have five numbers, but we do not know what the sum of all the numbers is because one of the numbers in under the pronumeral x. The find this out we need to work backwards. We know that when all the five numbers are added we should get 45 (it is 9 time 5 as there are five numbers in the set). The next step is to subtract 45 from the number that we known (i.e. 45 - 5 - 10 - 6 - 12). This comes to 12.

To double-check if you got the right answer you could add all five numbers include the 12 and divide it by 5 to see if the answer is 9.

Answer/Step-by-step explanation:

a. Since both cones, as shown in the figure attached below, are similar, 11/8 = l/4

Cross multiply to find l

4*11 = 8*l

44 = 8l

l = 44/8

l = 5.5cm

b. Given the slant height and diameter of cone, volume of cone can be calculated using the formula ⅓πr²*√(l² - r²)

Where, r = diameter ÷ 2 = 4/2 = 2cm

l = 5.5cm

Volume of smaller cone = ⅓*3.142*2²*√(5.5² - 2²)

= ⅓*3.142*4*√30.25 - 4)

= ⅓*12.568*√26.25

= ⅓*12.568*5.124

= 64.40/3

Volume of small cone ≈ 21.5 cm³

Answer:

60° and 30°

Step-by-step explanation:

Since they are complementary, the 2 equations add up to 90°

5x + 4x - 18 = 90

9x - 18 = 90

9x = 108

x = 12

Simply plug in x to find our angles:

5(12) = 60°

4(12) - 18 = 48 - 18 = 30°

Answer:

5x = 60°, 4x - 18 = 30°

Step-by-step explanation:

Sum of complementary angles is 90°.

5x + 4x - 18 = 90

9x = 90+18

9x = 108

x = 12

5x = 5* 12= 60°

4x - 18 = 4*12 - 18 = 30°

Answer:

Step-by-step explanation:

You see that 't' is the 'argument' or 'input' to h:  h(t).  It is always safe to assume that t is the independent variable and h is the depend

Answer:

Given :

length offshore = CS=√(1+X^2)

Cable charged = 5000√(1+X^2)

onshore length = 4-X

laying cost = 3000(4-X)

total cost:

C=5000√(1+X^2) +3000(4-X)

DC/DX

= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum

5000X=3000√(1+X^2)

25X^2=3+3X^2

22X^2=3

X=√(3/22)

= 0.3693 miles

So, it would be laid offshore to S in a manner that

BS=X=0.3693 miles

Onshore=4-0.3693

=3.6307 miles

Answer:

B. f^-1(x) = x+3

Step-by-step explanation:

Given the function f(x) = x-3, to get its inverse, the following steps mist be followed.

First we will make y = f(x)

y = x-3

Then we will make x the subject of the formula to have:

y+3 = x-3+3

y+3 = x

x = y+3

Finally, we will replace back y with x to have:

y = x + 3

f^-1(x) = x+3

This gives the inverse of the function.

Answer:

Y2-y1/x2-x1

=2-(-6)/2-(-2)

=8/4

=2

Step-by-step explanation:

Given two points of a line to find the slope we use the formula; y2-y1/x2-x1 Hence the answer above.

Answer:

a. 1350

b. 4%

Step-by-step explanation:

here is the complete question :

Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula:

V = 1350 x 1.04^t

Answer questions a & b

a - How much money did Toni invest in pounds

b - What rate of compound interest is paid each year

the formula for calculating compound interest is given by :

V = P (1 + r)^t

P = Present value  -= amount invested = 1350

R = interest rate  = 4%

N = number of years  = t

i hope my answer helps you

Answer:

Drag it untill you get a right triangle . this is where you get the height

Answer:

Solution,

Total Cost price (CP) = Rs 1120 + Rs 160

= Rs 1280

Selling Price (SP) = Rs 1344

Here,

SP > CP , so he made profit.

Amount of profit = SP - CP

= Rs 1344 - Rs 1280

= Rs 64

Now, finding the profit percent,

Profit %=[tex] \frac{profit \: }{cp} \times 100 \: percent[/tex]

[tex] \frac{64}{1280} \times 100 \: percent[/tex]

[tex]5 \: percent[/tex]

Profit percent = 5%

Hope this helps...

Good luck on your assignment...

Answer:

Amount the watch normally costs: w

Amount if the discount: 0.3w

Percent decrease of the discount, as a decimal: 0.3

Percent of the normal cost that Chad paid, as a decimal: 0.7