All categories

3 years ago

Find the coordinates of the vertex

Mathematics

1 answer:

Wewaii [24]3 years ago

4 0

Answer:

(2,8)

Step-by-step explanation:

You might be interested in

Help please please pleaseee!!! (check the picture)

Ira Lisetskai [31]

Answer:

the answer is x < - 6

Step-by-step explanation:

see the pictures for the step by step explanation

i hope this helps

if you need more help understanding algebraic inequality's

if this helps please give brainliest

and 5 stars

Also share this answer so it can help others

thanks,

skymillie28

Expert

6 0

3 years ago

A rectangular athletic field is three times as long as it is wide. If the perimeter of the athletic field is 128 yards, what are

larisa [96]

Length=3x
Width=x
3x+x+3x+x=128
8x=128
Divide both sides by 8
x=16
3(x)
3(16)=58
Width= 16 yards
Length= 58 yards

4 0

3 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:

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