Slope intercept form of : y=(2/5)x+7

Please show working out, thanks!

sveticcg [70]

3^2x = 2^3y = x/y = x/y

4 0

2 years ago

What is the inverse of f(x)= cube root of x +2.

DiKsa [7]

F(x)= $\sqrt[3]{x+2}$
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)

so we have
f(x)= $\sqrt[3]{x+2}$
subsitute f(x) with y
y= $\sqrt[3]{x+2}$
switch x and y
x= $\sqrt[3]{y+2}$
solve for y

x= $\sqrt[3]{y+2}$
cube both sides
$x^{3}$ =y+2
subtract 2 from both sides
$x^{3}-2$ =y

subsitute y with f⁻¹(x)
f⁻¹(x)= $x^{3}-2$

the answer is f⁻¹(x)= $x^{3}-2$

8 0

2 years ago

Carolyn watched two movies with her brother. They watched the first movie from 1:38 p.m. to 2:55 p.m. and the second movie from

Olegator [25]

Answer:

They watched movies for 2 hours and 52 minutes.

7 0

2 years ago

What is -29.9 - 4.6?<br> O A. -6,5<br> B. 65<br> C. 0.65<br> D. -65

natulia [17]

-6.5 which in your answer choices is a

7 0

2 years ago

What is 3/2=9/10k im having troble lots rly

tigry1 [53]

Answer:

k= 5 over 3 =1.667

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(3)/(2)-((9)/(10)*k)=0

simplify 9/10

3 9

— - (—— • k) = 0

2 10

simplify 3/2

3 9k

— - —— = 0

2 10

Find the Least Common Multiple

The left denominator is : 2

The right denominator is : 10

Least Common Multiple:

10

Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 5

Right_M = L.C.M / R_Deno = 1

Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 3 • 5

—————————————————— = —————

L.C.M 10

R. Mult. • R. Num. 9k

—————————————————— = ——

L.C.M 10

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 - (9k) 15 - 9k

———————————— = ———————

10 10

Pull out like factors :

15 - 9k = -3 • (3k - 5)

-3 • (3k - 5)

————————————— = 0

10

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

-3•(3k-5)

————————— • 10 = 0 • 10

10

Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

-3 • (3k-5) = 0

Solve : -3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solve : 3k-5 = 0

Add 5 to both sides of the equation :

3k = 5

Divide both sides of the equation by 3:

k = 5/3 = 1.667

one solution was found

k = 5/3 = 1.667

hope it helps sry its so long

7 0

2 years ago