All categories

3 years ago

Please help me on this problem.

Mathematics

1 answer:

VashaNatasha [74]3 years ago

4 0

Answer : (8,5)

Given

K(x) = $8-\sqrt[3]{x}$

Now we plug in each point and check whether it satisfies our equation

(-64,12)

K(-64) = $8-\sqrt[3]{-64}$ = 12 so this point lie on graph

(125,3)

K(125) = $8-\sqrt[3]{125}$ = 3 so this point lie on graph

(343,1)

K(343) = $8-\sqrt[3]{343}$ = 1 so this point lie on graph

(8,5)

K(8) = $8-\sqrt[3]{8}$ = 6 so this point does not lie on graph because we got 6 instead of 5

You might be interested in

The graph shows a function.<br> Find the value of b and d.

True [87]

Answer:

<em>The required values are b=-6 and d=4</em>

Step-by-step explanation:

The graph corresponds to the function

$r(x) =x^2+bx^2+8x+d$

We are required to find the values of b and d.

They can be found by using two points that are clearly visible on the graph. For example, the points (0,4) and (2,0) belong to the function. Substituting their values in the function:

$4 =0^2+b*0^2+8*0+d$

Simplifying:

4 = d

d = 4

Now use the point (2,0):

$0 =2^2+b*2^2+8*2+d$

Since d=4, and calculating

$0 =4+4b+16+4$

Simplifying:

$4b = -24$

Dividing by 4:

$b = -24/4 = -6$

$b = -6$

The required values are b=-6 and d=4

5 0

2 years ago

Help please I will mark brainlest

rodikova [14]

Answer:

$5\sqrt{7}$

Step-by-step explanation:

$\frac{30\sqrt{14} }{6\sqrt{2} }$

Cancel out 6 in both numerator and denominator.

$\frac{5\sqrt{14} }{\sqrt{2} }$ Rationalize the denominator of $\frac{5\sqrt{14} }{\sqrt{2} }$ by multiplying the numerator and denominator by $\sqrt{2}$ .