9 * (-3/5) ^5


evaluate

pls help :)

After a small search, I've found that we want to find the inverses of both functions. We will find that E(x) does not have an inverse function, and the inverse function of T(x) is h(x) = x/6 - 1/6

Here we have a piecewise function:

T(x) = 6(x-3) + 25  if x > 3

E(x) = 25    if 0 ≤ x ≤ 3

First, remember that two functions f(x) and g(x) are inverses if:

f(g(x)) = x

g(f(x)) = x

From that definition we can see that E(x) does not have an inverse, because for any function g(x), we will have:

E(g(x)) = 25

So E(x) can't meet the condition.

Now let's analyze the function T(x)

T(x) = 6(x-3) + 25  

We can rewrite it as:

T(x) = 6x - 6×3 + 25

T(x) = 6x + 1

Note that T(x) is a linear equation, so the inverse will also be a linear equation. Let's assume that the inverse is h(x) = ax + b

We will have:

T(h(x)) = 6×h(x) + 1 = 6(ax + b) + 1  

Now, if these are inverses, we have:

6(ax + b) + 1 = x

6ax + 6b + 1 = x

Then we must have:

6b + 1 = 0

6ax = x

From the first equation, we can get:

6b + 1 = 0

6b = -1

b = -1/6

From the second equation we have:

6ax = x

6a = 1

a = 1/6

Then:

h(x) = x/6 - 1/6

And this is the inverse function of T(x)

If you want to learn more, you can read:

https://brainly.com/question/10300045

The coordinate of JK is (-1.7, -0.3)

The coordinate of the points that divides the line segment in the given ratio is calculated as:

[tex](x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )[/tex]

where;

a:b = 7:8

From the image;

(x₁, y₁) = (-6, 5) and,

(x₂, y₂) = (2, -5)

Substitute the given points in the equation above to calculate the coordinates of JK.

[tex](x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)[/tex]

Thus, the coordinate of JK = (-1.7, -0.3)

Check the image uploaded for the plot of point K

Learn more here:https://brainly.com/question/12547932

Answer:

14,712 ft difference

Step-by-step explanation:

15,062 - 350 = 14,712

Answer:

Step-by-step explanation:

Difference in elevation is 15,062-(-350)=15,062+350=15,412

Answer:

$505

Step-by-step explanation:

930 - 80 = 850

850 / 2 = 425 (price of the washer)

425 + 80 = 505 (price of the dryer)

Answer:

the dryer costs $425

Step-by-step explanation:

x = washer

y = dryer

x + y = 930

x = y + 80

using the second equation as substitute in the first equation we get

y + 80 + y = 930

2y = 850

y = $425

FYI

x = y + 80 = 425 + 80 = $505

Answer:

[tex]thank \: you[/tex]

Answer:

The choose 25/32

Step-by-step explanation:

[tex] \frac{ \frac{5}{8} }{ \frac{4}{5} } = \frac{5}{8} \times \frac{5}{4} = \frac{25}{32} [/tex]

I hope I helped you^_^

Answer:

A. [tex] \frac{25}{32} [/tex] (first option)

Step-by-step explanation:

[tex] \frac{ \frac{5}{8} }{ \frac{4}{5} } = \frac{5}{8} \div \frac{4}{5} [/tex]

[tex] \frac{5}{8} \times \frac{5}{4} = \frac{5 \times 5}{8 \times 4} [/tex]

[tex] = \frac{25}{32} [/tex] ✅

Answer:

25 cm3

Step-by-step explanation:

Step 1: Determine the base area and the height of the pyramid. Step 2: Find the volume using the general formula, V = (1/3) Base Area × Height, or V = a3/6√2 cubic units when the edge length 'a' of the triangular face is known. Step 3: Represent the final answer with cubic units.

p ∧ q (i.e. "p and q") is true only if both p and q are true. This is the case for the first two rows, but not the third.

Similarly, (p ∧ q) ∧ r is true only if both p ∧ q and r are true. We know when p ∧ q is true, so (p ∧ q) ∧ r is true only when all three of p, q, and r are true. This happens only in the first row.

All other cases are false.

The table should look like this:

[tex]\begin{array}{c|c|c|c|c}p&q&r&p\land q&(p\land q)\land r) \\---&---&---&---&--- \\T&T&T&\boxed T&\boxed T\\&&&&\\T&T&F&\boxed T&\boxed F\\&&&&\\T&F&T&\boxed F&\boxed F\end{array}[/tex]

Answer:

5.08 cm, or 5 cm if you round it

Step-by-step explanation:

2.54 cm = 1 in

2.54 x 2 = 5.08

168

this is the full process

Answer:

X =  1

Step-by-step explanation:

Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2

Answer:

[tex]3(2x - 1) = 1 \div 2(4x - 2) + 2 \\ 3 \times 2x - 3 \times 1 = .5 \times 4x - .5 \times 2 + 2 \\ 6x - 3 = 2x - 1 + 2 \\ x \: togather \\ 6x - 2x = - 1 + 2 + 3 \\ 4x = 4 \\ x = 4 \div 4 \\ x = 1[/tex]

Answer:

A positive number.

Step-by-step explanation:

Absolute value means that no matter if the number is positive or negative, it will always be positive, e.g. | -4 | would be 4 or | 4 | would also be 4.

Answer: Circumference = 7.85 inches

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

r = radius

π = constant

Solve:

Given information

r = (1/2) d = (1/2) (2.5) = 1.25 inches

π = 3.14

Given formula

Circumference = 2πr

Substitute values into the formula

Circumference = 2 · (3.14) · (1.25)

Simplify by multiplication

Circumference = (2.5) · (2.14)

Circumference = [tex]\boxed {7.85 inches}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·2.5≈7.85398in

Answer:

x = y - 8

Step-by-step explanation:

To solve for x just subtract 8 from both sides to isolate x.

Answer:

Step-by-step explanation:

Let the volume of used water is x.

We have:

Correct choice is B

Answer:

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

PART ONE: Find d when t = 0

Given expression

d = 2t

Substitute value into the expression

d = 2 (0)

PART TWO: Find d when t = 3

Given expression

d = 2t

Substitute value into the expression

d = 2 (3)

PART THREE: Find d when t = 5

Given expression

d = 2t

Substitute value into the expression

d = 2 (5)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

y=-1/3 x +2/3

Step-by-step explanation:

all steps are in picture

Answer:

Step-by-step explanation:

Answer:

that's sooooooo trued to me

Answer:

D

Step-by-step explanation:

im thinking its d, because prime factorisation is a way of expressing a number as a product of its prime factors.

a isn't correct since 9 isn't is a prime number.

b isn't correct because you wouldn't use decimals typically.

c isn't correct because 1 is not a prime number.

d is the only correct solution since all the numbers listed are prime numbers.

Answer:

21

Step-by-step explanation:

[tex]4x + 24 = 7x - 49 \\ then \: collect \: the \: same \: variable \\ 4x - 7x = - 49 - 24 \\ x = - 63 \div - 3 = 21[/tex]

Answer:  1.125 miles

Step-by-step explanation:

Step-by-step explanation:

The answer is 10 times

=> 4 hundredths x 10 = 4 tenths

=> 0.04 x 10 = 0.4, which is correct

Hope that helps

Answer:

go to symbolab and it will simplify for you, brainly is useless with these kinds of questions. Symbolab.com very easy to use and gives you answer right away instead of have to wait for some oaf like me to solve your problems.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Start a little more generally. Carefully find k

distance = k * speed ^2      

112 = k*40^2

112 = k * 1600                     Divide by 1600

112/1600 = k

k = 0.07

Now do the question you are asked to do.

distance = k * speed^2

distance = 0.07 * 65^2

distance = 295.75

Now having done that, you can set up a proportion.

d1 / d2 = k speed1^2/kspeed2^2      Cancel the ks

112/d2 = 40^2 / 65^2                         Cross multiply

112 * 65^2 = 40^2 * d2                      Divide by 40^2

112 * 65^2/40^2 = d2                        Expand the squares

112 * 4225 / 1600 = d2

295.75 = d2    

The second way is shorter, but I suggest the long way until you get comfortable with it.

Answer:

it is too easy I will answer it soon.