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miskamm [114]
3 years ago
13

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)
  • x=45\sqrt{2}
  • x = 63.6 feet
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
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