Find the surface area

I need help or I will faill this

kari74 [83]

Answer:

-4x2 + 3x - 225

———————————————

3

Step-by-step explanation:

Step 1 :

4

Simplify —

3

Equation at the end of step 1 :

4

(x - (— • x2)) - 75

3

Step 2 :

Equation at the end of step 2 :

4x2

(x - ———) - 75

3

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 3 as the denominator :

x x • 3

x = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 3 - (4x2) 3x - 4x2

————————————— = ————————

3 3

Equation at the end of step 3 :

(3x - 4x2)

—————————— - 75

3

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

75 75 • 3

75 = —— = ——————

1 3

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

3x - 4x2 = -x • (4x - 3)

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

-x • (4x-3) - (75 • 3) -4x2 + 3x - 225

—————————————————————— = ———————————————

3 3

Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

-4x2 + 3x - 225 = -1 • (4x2 - 3x + 225)

Trying to factor by splitting the middle term

6.2 Factoring 4x2 - 3x + 225

The first term is, 4x2 its coefficient is 4 .

The middle term is, -3x its coefficient is -3 .

The last term, "the constant", is +225

Step-1 : Multiply the coefficient of the first term by the constant 4 • 225 = 900

Step-2 : Find two factors of 900 whose sum equals the coefficient of the middle term, which is -3 .

-900 + -1 = -901

-450 + -2 = -452

-300 + -3 = -303

-225 + -4 = -229

-180 + -5 = -185

-150 + -6 = -156

For tidiness, printing of 48 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

-4x2 + 3x - 225

———————————————

3

7 0

3 years ago

A carpender buys bolts for 1.18 per pound. The carpenter brought 18.5 lb. of bolts. How much did the bolts cost?

riadik2000 [5.3K]

All you have to do is multiply the two numbers together
1.18 x 18.5 = 21.83

4 0

3 years ago

Consider the differential equation y'' − y' − 30y = 0. Verify that the functions e−5x and e6x form a fundamental set of solution

Alex Ar [27]

Answer:

Step-by-step explanation:

We have to take the derivatives for both functions and replace in the differential equation. Hence

for y=e^{-5x}:

$y(x)=e^{-5x}\\y'(x)=-5e^{-5x}\\y''(x)=25e^{-5x}\\$

for y=e^{6x}:

$y(x)=e^{6x}\\y'(x)=6e^{6x}\\y''(x)=36e^{6x}\\$

Now we replace in the differential equation y'' − y' − 30y = 0

for y=e^{-5x}:

$25e^{-5x}+5e^{-5x}-30e^{-5x}=0\\25+5-30=0$

for y=e^{6x}:

$36e^{6x}-6e^{6x}-30=0\\36-6+30=0$

Now, to know if both function are linearly independent we calculate the Wronskian

$W(f,g)=fg'-f'g$

$W(e^{-5x},e^{6x})=(e^{-5x})(6e^{6x})-(-5e^{-5x})(e^{6x})\neq 0$

I hope this is useful for you

Best regard

7 0

3 years ago

A taxicab service charges a flat fee of $7 plus an additional $1.25 per mile driven. Show the relationship between the total cos

Zarrin [17]

Answer with Step-by-step explanation:

We are given that

Flat fee of taxicab=$7

Cost of one mile=$1.25

1.We have to show that relationship between total cost and the number of miles driven.

2.We have to find independent variable and dependent variable

3.We have to write an equation to model the relationship and make a table to show the cost of 4 to 10 miles.

1.Let x be the number of miles driven by taxicab and total cost y of taxicab.

According to question

$y=1.25x+7$

This is a relation between number of miles drive and total cost.

2. Independent variable : It is that variable which does not depend on value of another variable .

Dependent variable : it is that variable which depend on value of another variable.

We can see that y depend on x and value of x does not depend on any value.

Therefore, y is dependent variable and x is independent variable.

Substitute x=4 then we get

$y=1.25(4)+7=$ $12

Substitute x=5 then get

$y=1.25(5)+7=$ $13.25

$y=1.25(6)+7=$ \$14.5

$y=1.25(7)+7=$ $15.75

$y=1.25(8)+7=$ $17

$y=1.25(9)+7=$ $18.25

$y=1.25(10)+7=$ $19.5

5 0

3 years ago

Factorize 6q-29q+28<br><br>

choli [55]

<h2>Answer: <em><u>Cannot be factored</u></em></h2>

Step-by-step explanation: This equation is prime.

4 0

3 years ago

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