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3 years ago

What 18x+90=180 i have to solve like a equation

Mathematics

2 answers:

pogonyaev3 years ago

6 0

$18x+90=180 \\ 18x+90-90=180-90 \\ 18x=90 \\ 18x/18=90/18 \\ x=5$

Bad White [126]3 years ago

5 0

18x+90=180
-90 -90 Subtract 90 from both sides
__________
18x=90
/18 /18 Divide 18 on both sides
__________
x=5

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At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]

denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

$f(x) = x^3-2x^2-4x+1$ in the interval [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

$f(1) = 1-2-4+1 = -4\\f(0) = 1$

The value

$\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5$

Find derivative for f

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

Equate this to -5 to check mean value theorem

$3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1$

We find that 1/3 lies inside the interval (0,1)

4 0

3 years ago

A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of

-Dominant- [34]

Answer:

63.6 feet

Step-by-step explanation:

$sin (45)=\frac{x}{90}$
$x=90 sin (45)$
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6 0

2 years ago

Item 4<br> Solve the equation.<br><br> 23h−13h+11=8<br> h=

Naily [24]

Answer is 20 by plugging the 4 in the equation it equals 20

3 0

3 years ago

StartLayout enlarged left-brace 1st row 4 x minus 5 y = 5 2nd row negative 0.08 x + 0.10 y = 0.10 EndLayout

FinnZ [79.3K]

Answer:

$x = 1.25$

$y = 0$

Step-by-step explanation:

Given

$4x - 5y = 5$

$0.08x + 0.10y = 0.10$

Required

Determine the solution

Make x the subject of formula in: $4x - 5y = 5$

$4x = 5 + 5y$

Divide both sides by 4

$\frac{4x}{4} = \frac{5 + 5y}{4}$

$x = \frac{5 + 5y}{4}$

Substitute $x = \frac{5 + 5y}{4}$ in $0.08x + 0.10y = 0.10$

$0.08(\frac{5 + 5y}{4}) + 0.10y = 0.10$

Solve the fraction

$0.02(5 + 5y) + 0.10y = 0.10$

Open the bracket

$0.1 + 0.1y + 0.10y = 0.10$

$0.1 + 0.2y = 0.10$

Subtract 0.1 from both sides

$0.1-0.1 + 0.2y = 0.10 - 0.1$

$0.2y = 0$

Divide both sides by 0.2

$y =0$

Substitute 0 for y in $x = \frac{5 + 5y}{4}$

$x = \frac{5 + 5*0}{4}$

$x = \frac{5 + 0}{4}$

$x = \frac{5 }{4}$

$x = 1.25$

5 0

3 years ago

13 x-2(8+5 x)=12-11 x

77julia77 [94]

Expand

13x - 16 - 10x = 12 - 11x

Simplify 13x - 16 - 10x to 3x - 16

3x - 16 = 12 - 11x

Add 16 to both sides

3x = 12 - 11x + 16

Simplify 12 - 11x + 16 to -11x + 28

3x = -11x + 28

Add 11x to both sides

3x + 11x = 28

Simplify 3x + 11x to 14x

14x = 28

Divide both sides by 14

x = 28/14

Simplify 28/14 to 2

x = 2

4 0

3 years ago