Solve the equation 18.2 + 1.5x = 37.7

Mathematics

2 answers:

12345 [234]3 years ago

7 0

Solve for x by simplifying both sides of the equation, then isolating the variable.
x=13

antoniya [11.8K]3 years ago

4 0

X= 13
............................

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{25 POINTS]

klemol [59]

The point (3, -4) is on the terminal side of the Ø implies that the hypotenuse has a length of 5, by the pythagorean theorem.
Now recall cosØ = x / r where r is the hypotenuse.
So cosØ = 3 / 5.

7 0

4 years ago

16=-(y+3) Find what y is

PSYCHO15rus [73]

Answer:

isolate the variable by dividing each side by factors that don't contain the variable ..... answer is y =-19 :)

Step-by-step explanation:

8 0

3 years ago

Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu

kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

$f(x) = {x}^{5} - {x}^{3} + 6$

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

$f'(x) = 5 {x}^{4} - 3 {x}^{2}$

At turning point f'(x)=0.

$5 {x}^{4} - 3 {x}^{2} = 0$

This implies that,

${x}^{2} (5 {x}^{2} - 3) = 0$

${x}^{2} = 0 \: or \: 5 {x}^{2} - 3 = 0$

$x = - \frac{ \sqrt{15} }{5} \: or \: x = 0 \: \: or \: x =\frac{ \sqrt{15} }{5}$

We plug this values into the original function to obtain the y-values of the turning points

$( - \frac{ \sqrt{15} }{5} , \frac{1}{125} ( 6 \sqrt{15} +750)) \:and \: (0, - 6) \: and\: ( \frac{ \sqrt{15} }{5} , \frac{1}{125} ( - 6 \sqrt{15} +750))$