What is (f + g)(x)? f(x) = -5x + 3 g(x) = -3x? Write your answer as a polynomial or a rational function in simplest form.​

Answer:

A = (Y + 5)/ D

Step-by-step explanation:

Y = AD - 5

Y + 5 = AD - 5 + 5

Y + 5 = AD

(Y + 5)/D = AD/D

(Y + 5)/ D = A

》A = (Y + 5)/ D

Answer:

-1.22

Step-by-step explanation:

Answer:

Step-by-step explanation:

In reality it is :  [tex](x-\frac{1}{x} )^5\\[/tex]

[tex]Pascal'sTriangle\\\\\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\\\end{array}\\\\\\(x-\frac{1}{x} )^5\\\\=x^5+5*x^4*\frac{1}{x} *(-1)+10*x^3*\frac{1}{x^3}*(-1)+5*x*\frac{1}{x^4} +\frac{1}{x^5} *(-1)\\\\\\\boxed{(x-\frac{1}{x} )^5=x^5-5x^3+10x-\frac{10}{x} +\frac{5}{x^3} -\frac{1}{x^5} }[/tex]

Answer:

Answer:

Step-by-step explanation:

Answer as Photo

Answer:

17

Step-by-step explanation:

Evaluate the 2 expressions by substituting x = 2 , y = 3 into them

3x² - 2y

= 3(2)² - 2(3)

= 3(4) - 6

= 12 - 6

= 6

---------------------------

3y² - 2x

= 3(3)² - 2(2)

= 3(9) - 4

= 27 - 4

= 23

Then 23 - 6 = 17

Answer:19

Step-by-step explanation:

because if it added it becomes that

Answer: 2.3/225.4=0.01020408

Answer:

98.000

Step-by-step explanation:

Change the divisor 2.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

2254 ÷ 23 = 98.000

and therefore:

225.4 ÷ 2.3 = 98.000

Both calculated to 3 decimal places.

Answer:

40545.50 mill

Step-by-step explanation:

so the average rate from 2010 to 2014 is a change of 4 years with a  increase of 2719.25 milllion per year so if that rate started at the 2010 value (35107 million) then if you add the average rate twice you get how much they would of made in 2012 so 35107 plus 2719.25 plus 2719.25 you get 40545.50 million  so that the answer oh yea and its like a 5 million pattern over 2 years that why average rate is 2.5ish

Answer:

0.32 repeating as a fraction

= 32/99

Step-by-step explanation:

The fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.

To express the repeating decimal 0.32 repeating as a fraction in simplest form, we can use the concept of geometric series.

Let's represent 0.32 repeating as x:

x = 0.323232...

Multiply both sides of the equation by 100 to shift the decimal point two places to the right:

100x = 32.323232...

Now, subtract the original equation from the shifted equation to eliminate the repeating part:

100x - x = 32.323232... - 0.323232...

Simplifying the equation:

99x = 32

Divide both sides of the equation by 99 to solve for x:

x = 32/99

Therefore, the fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.

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Fractions can be evaluated, same way non fractions are evaluated

The result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7

The given parameters are:

[tex]\mathbf{\dfrac {9}m+4}[/tex]

[tex]\mathbf{m = 3}[/tex]

So, we have:

[tex]\mathbf{\dfrac {9}m+4}[/tex]

Substitute 3 for m

[tex]\mathbf{\dfrac {9}m+4 = \dfrac {9}3+4}[/tex]

Evaluate the division

[tex]\mathbf{\dfrac {9}m+4 = 3+4}[/tex]

Add 3 and 4

[tex]\mathbf{\dfrac {9}m+4 = 7}[/tex]

Hence, when m equals 3, the result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7

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Answer:

35rs of profit

Step-by-step explanation:

4*50=200rs- he spent

3*65+1*40=195+40=235rs- he got

235-200=35rs of profit

Answer:

I think that some information is missing? what is the slope?

If you are trying to say that there is NO SLOPE then the

answer is " x = 4 "

Step-by-step explanation:

35+ x + 60 = 180

95 + x = 180

x = 180 – 95

x = 85

x + 47 + 75 = 180

x + 122 = 180

x = 180 – 120

x = 58

105 ° = 3 x° –> Opposite angles ,

x = 105 / 3

x = 35

3x = 3(35) = 105°

Only the figure (V) I didn't know I'm sorry:(

I hope I helped you^_^

Answer:

(a) Mixed fraction.

(b) 13.244

(c) [tex]13 \frac{1}{20} [/tex]

(d) [tex]12 \frac{13}{55} [/tex]

Sorry that I can't add step-by-step explanation. I don't have enough time.

Answer:

n=6

Step-by-step explanation:

(n-18)/3 = -4

multiply by 3

n-18 = -12

add 18

n = 6

[tex]\\ \sf\longmapsto -2x-4>8[/tex]

[tex]\\ \sf\longmapsto -2(x+4)>8[/tex]

[tex]\\ \sf\longmapsto x+4>\dfrac{8}{-2}[/tex]

[tex]\\ \sf\longmapsto x+4>-4[/tex]

[tex]\\ \sf\longmapsto x>-4-4[/tex]

[tex]\\ \sf\longmapsto x>-8[/tex]

Answer:

x < -6

Step-by-step explanation:

-2x - 4 > 8

Add 4 on both sides

-2x > 12

Divide -2 on both sides

x < -6

Hope this helps!

?

Step-by-step explanation:

can't see the opinions

Answer:

e^0=x^2-25=1

x^2=26

x=sqrt(26), pos and neg

The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is ln(x²-25)=0

x²-25>0

(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))

x>-5 and x>5

Now, e⁰=x²-25

1=x²-25

x²=26

x=±√26

Therefore, option C is the correct answer.

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Answer:

-3

Step-by-step explanation:

(-1)3 = -3

Answer:

-3

Step-by-step explanation:

-1 × 3 = -3

also when you have a negative and a positive it means that the answer is negative.

Answer:

-5

Step-by-step explanation:

(-5)(-5)(-5)=-125

Given the expression:

[tex] \displaystyle \large{ \sqrt[3]{ - 125} }[/tex]

Definition:

[tex] \displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}[/tex]

First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.

[tex] \displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }[/tex]

Because if (-5)^2 = 25 then 25×(-5) again will be -125.

Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,

[tex] \displaystyle \large \boxed{ - 5}[/tex]

Answer:

a)

b)

c)

d)

e)

f)

f(0) = 4

h(11) = 15

g(-9) = -2(-9)² - 4(-9) + 1 = -125

f(2) = 1

h(-2) = 2  

g(0.25) = -2(0.25)² - 4(0.25) + 1 = - 0.125

Answer:

9y(16x2−12xy+3y2)

Step-by-step explanation:

Factor 64x3−(4x−3y)3

144x2y−108xy2+27y3

=9y(16x2−12xy+3y2)

Answer:

9y(16x2−12xy+3y2)

Answer:

D because it costs less for 7 hours

Answer:

The company that would give you the best deal would be Company D.

Step-by-step explanation:

Company A:

First you set up as an equation.

y=25x+50

I used 25x because 25 represents the hourly rate and x represents the hour it increases.

y=25(7)+50

We have to substitute 7 in for x because it says "If you had planned for 7 hours".

Multiply 25 and 7. You should get 175.

y=175+50

Add 175 and 50. You should get 225.

y=225.

You do the same thing for the rest of the problems.

Company B:

y=30x+40

y=30(7)+40

y=210+40

y=250

Company C:

y=20x+60

y=20(7)+60

y=140+60

y=200

Company D:

y=5x+150

y=5(7)+150

y=35+150

y=180

The company that would give you the best deal would be Company D.

Answer:

Step-by-step explanation:

A variable