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3 years ago

Evaluate g(x) = x2 + 5 given the inputs (-1,0,1,2}

Mathematics

1 answer:

mihalych1998 [28]3 years ago

5 0

Answer:

g(-1) = 6

g(0) = 5

g(1) = 6

g(2) = 9

Step-by-step explanation:

Step 1: Plug in -1 for x

g(-1) = (-1)² + 5

g(-1) = 1 + 5

g(-1) = 6

Step 2: Plug in 0 for x

g(0) = 0² + 5

g(0) = 0 + 5

g(0) = 5

Step 3: Plug in 1 for x

g(1) = 1² + 5

g(1) = 1 + 5

g(1) = 6

Step 4: Plug in 2 for x

g(2) = 2² + 5

g(2) = 4 + 5

g(2) = 9

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2⁄3 + y2⁄3 = 4, −3 3 , 1

STatiana [176]

The complete question is

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. $x^\frac{2}{3} + y^\frac{2}{3} = 4$ , $( -3\sqrt{3} ,1)$

Answer:

Equation of tangent is y = $\frac{1}{\sqrt{3} }$ x + 4

Step-by-step explanation:

We are given the equation

$x^\frac{2}{3} + y^\frac{2}{3} = 4$ ,

upon differentiating

d( $x^\frac{2}{3} + y^\frac{2}{3} = 4$ ) /dx = d(4)/dx

$\frac{2}{3}x^-\frac{1}{3 } + \frac{2}{3}y^ -\frac{1}{3} dy/dx = 0$

dy/dx = $-x^\frac{1}{3} /y^-\frac{1}{3}$ = $-y^\frac{1 }{3}/ x^\frac{1}{3}$

upon substituting the values (x, y)= $( -3\sqrt{3} ,1)$

dy/dx = $\frac{1}{\sqrt{3} }$

equation of the tangent

y - 1 = $\frac{1}{\sqrt{3} }$ ( x- (- $3\sqrt{3}$ ))

y = $\frac{1}{\sqrt{3} }$ x + 4

5 0

3 years ago

Test your solution in the equation 0.6+15b+4=25.6

sleet_krkn [62]

Answer:

b = 21/15

Step-by-step explanation:

0.6+15b+4=25.6

15b + 4.6 = 25.6

15b = 25.6 - 4.6

15b = 21

b = 21/15

Test:

0.6 + 15*21/15 + 4 = 25.6

06 + 21 + 4 = 25.6

7 0

3 years ago

Read 2 more answers

A carpenter had two pieces of lumber that totaled 55 feet in length. The shorter piece was 12 feet

dimulka [17.4K]

The equation to find the length of the longer piece is

x- 12 = 55

Step-by-step explanation:

A carpenter had two pieces of lumber that totaled in length = 55 feet
The shorter piece than the longer piece has length of which is = 12 feet
The longer piece is denoted as= x
Find x = ?
The equation can be formed to find the value of x as,
Longer piece (x) ₋ shorter piece (12) = total length (55)
Therefore, x ₋ 12 = 55
the above equation states that
if you subtract the shorter piece from the total length of the you will get the length of the longer piece.
therefore,
if you shift the value of shorter length on the right hand side, you can find the value of x
so, x= 55 ₋ 12
value of x = 43
therefore, the length of the longer piece is 43 feet long.

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4 years ago

Solve for h in the parallelogram

skelet666 [1.2K]

Answer:

h = 5

Step-by-step explanation:

diagonals in a parallelogram bisect each other so:

2h = h + 5

h = 5

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3 years ago

16/x = 2/7 cross multiplication

WITCHER [35]

Answer:

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Step-by-step explanation:

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Hope this helps :)

8 0

3 years ago