All categories

2 years ago

It’s worth 13 points thank you! :)

Mathematics

1 answer:

Gwar [14]2 years ago

5 0

Answer: the answer is the 3rd bubble:)

Step-by-step explanation:

You might be interested in

Frankie is on a long car trip. Every time she stops to buy gas, she loses 15 minutes of travel time. If she has to stop 6 times,

pychu [463]

Answer: She will loose 75 min. (1 hour and 15 minutes)

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Factorise using the difference of two squares: I)4x squared-(2x+3) squared

alex41 [277]

4x² - (2x + 3)²
4x² - (2x + 3)(2x + 3)
4x² - (2x(2x + 3) + 3(2x + 3))
4x² - (2x(2x) + 2x(3) + 3(2x) + 3(3))
4x² - (4x² + 6x + 6x + 9)
4x² - (4x² + 12x + 9)
4x² - 4x² - 12x - 9
-12x - 9
-3(4x) - 3(3)
-3(4x + 3)

8 0

2 years ago

Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))

sergejj [24]

Answer:

$\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}$

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, f and g are inverses, then:

$\displaystyle f(g(x)) = g(f(x)) = x$

So, we can let j be the inverse function of h.

Function h is given by:

$\displaystyle h(x) = y = 3x-2$

Find its inverse. Flip variables:

$x = 3y - 2$

Solve for y. Add:

$\displaystyle x + 2 = 3y$

Hence:

$\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}$

Therefore, a = 1/3 and b = 2/3.

We can verify our solution:

$\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}$

And:

$\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}$

3 0

2 years ago

What is the volume of a cone (in cubic inches) of radius 5 inches and height 3

beks73 [17]

Answer:

78.54 cm^3

Step-by-step explanation:

I think thats the answer

6 0

2 years ago

A regular polygon has 13 sides.Find was he sum of the exterior angle.

maks197457 [2]

Answer:

Step-by-step explanation:

Exterior angle = 360/n

= 360/13

= 27.7°

3 0

2 years ago