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stealth61 [152]
3 years ago
12

If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)?

Mathematics
1 answer:
Nana76 [90]3 years ago
8 0

Answer:

Step-by-step explanation:

(r/s)(x) is the quotien of r(x) = 3x - 1 and s(x) = 2x + 1:

  r            3x - 1

(-----)(x) = ----------

  s            2x + 1

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Please help as soon as possible 50 points
Morgarella [4.7K]

Answer:

the answer is d. 4x²+x-6

Step-by-step explanation:

In order to combine the fractions, they need to have the same denominator.

So, multiply each of their numerators by the denominator they need to be equivalent.

This would look like this:

3x/x+3 --> 3x(x)/x(x+3)        ---simplify this as--> 3x²/x(x+3)

x-2/x  --> (x-2)(x+3)/x(x+3)  ---simplify this as --> x²+x - 6/x(x+3)

3x                    3x(x)                                     x-2                   (x-2)(x+3)

-----      --->        -----                 and             --------   --->           ---------

x+3                   x(x+3)                                    x                        x(x+3)

now that both fractions have the same denominator, we can add their numerators.

3x² + x²+x-6 = 4x²+x -6

This should now look like this:

4x²+x -6

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

x(x+3)

8 0
2 years ago
Read 2 more answers
The cost of admission to the State Fair changed from $8.50 last year to $10.00 this year. Round to the nearest tenth. Show your
seropon [69]

Answer:

Percent increase is 17.6%

We still have to pay 7.50 with the coupon

Step-by-step explanation:

Percent increase = (new- original)/original *100%

                             = (10-8.5)/8.5 * 100%

                             = 1.5/8.5 * 100%

                             = 17.6470588%

Round to the nearest tenth

                                 17.6%

This is an increase since the cost went up.

If we have 25% off, we still have to pay (100%-25%) = 75%

10 *.75 = 7.50

We still have to pay 7.50 with the coupon

6 0
3 years ago
A scale model of a rectangular building lot measures 7feet by 5 feet. If the actual house will be built using a scale factor of
Tamiku [17]
Actual area of the rectangular building = 5040 feet²
Step-by-step explanation:
Length of the rectangular building = 7 feet
Width of the rectangular building = 5 feet
Now, The building is made with a scale factor of 12
So, Actual length of the rectangular building = 84 feet
Actual width of the rectangular building = 60 feet
Now, Actual area of the rectangular building = Length × Width
⇒ Actual area of the rectangular building = 84 × 60
⇒ Actual area of the rectangular building = 5040 feet²
5 0
2 years ago
F(x)=-9x^2-2x and g(x)=-3x^2+6x-9, find (f-g)(x) and (f-g)(-4)
Alona [7]

Answer:

(f - g)(x)= - 6 {x}^{2} - 8x + 9

(f - g)(-4!)= - 55

Step-by-step explanation:

f(x) =  - 9 {x}^{2}  - 2x,  \:  \: g(x) =  - 3 {x}^{2}  + 6x - 9 \\ (f - g)(x) = f(x)  - g(x) \\  = - 9 {x}^{2}  - 2x - (- 3 {x}^{2}  + 6x - 9) \\  =  - 9 {x}^{2}  - 2x  + 3 {x}^{2}   -  6x  +  9 \\    \purple{ \boxed{ \bold{(f - g)(x)= - 6 {x}^{2}  - 8x + 9}}} \\ (f - g)( - 4)= - 6 {( -4 )}^{2}  - 8( - 4) + 9 \\  =  - 6 \times 16 + 32 + 9 \\  =  - 96 + 41 \\ \red{ \boxed{ \bold{(f - g)( - 4)= - 55}}}

6 0
3 years ago
Find the area of this trapezoid. Include the correct unit in your answer.
NemiM [27]

Answer:

\displaystyle A _{ \text{trapezoid}} =  70 {m}^{2}

Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

\displaystyle A _{ \text{trapezoid}} =  \frac{a + b}{2} h

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

\displaystyle A _{ \text{trapezoid}} =  \frac{5 + 15}{2} \times  7

simplify addition:

\displaystyle A _{ \text{trapezoid}} =  \frac{20}{2} \times  7

simplify division:

\displaystyle A _{ \text{trapezoid}} =  10\times  7

simplify multiplication:

\displaystyle A _{ \text{trapezoid}} =  70

since we multiply two same units we of course have to use square unit

hence,

\displaystyle A _{ \text{trapezoid}} =  70 {m}^{2}

4 0
2 years ago
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