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marysya [2.9K]
2 years ago
6

Please solve 5q+6=2q-2+q.

Mathematics
2 answers:
Airida [17]2 years ago
8 0

Answer:

2q = - 8

Step-by-step explanation:

5q + 6 = 2q.- 2 + q. given

5q + 6 = 3q - 2 combine like terms

2q + 6 = - 2. isolate q by subtracting 3q from each side

2q = -8.

subtract 6 from both sides to combine like terms

son4ous [18]2 years ago
4 0

Answer:

q= -4

Step-by-step explanation:

5q + 6 = 2 q- 2 + q

Collect like terms and simplify

5q - 2q - q =  - 2 - 6 \\ 2q =  - 8

Divide both sides of the equation by 2

\frac{2q}{2}  =  \frac{ - 8}{2}  \\

Simplify

q =  - 4

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Answer:

f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.

Step-by-step explanation:

The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.

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* Also since the parabola opens up, then y>5.

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Swap x and y:

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3 0
3 years ago
You plan on financing a new road bike for $2,500. The bike shop offers a 13.5% APR for a 24 month loan. Use this information, an
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This question can be approached using the present value of annuity formula. The present value of annuity is given by PV=P\left( \frac{1-\left(1+ \frac{r}{t} \right)^{-nt}}{ \frac{r}{t} } \right), where: PV is the present value/amount of the loan, P is the periodic (monthly in this case) payment, r is the APR, t is the number of payments in one year and n is the number of years.

Given that the<span> financing is for a new road bike of $2,500 and that the bike shop offers a 13.5% APR for a 24 month loan.

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</span>2500=P\left( \frac{1-\left(1+ \frac{0.135}{12} \right)^{-2\times12}}{ \frac{0.135}{12} } \right) \\  \\ =P\left( \frac{1-\left(1+ 0.01125 \right)^{-24}}{ 0.01125 } \right)=P\left( \frac{1-\left(1.01125 \right)^{-24}}{ 0.01125 } \right) \\  \\ =P\left( \frac{1-0.764531}{ 0.01125 } \right)=P\left( \frac{0.235469}{ 0.01125 } \right)=20.9306P \\  \\ \Rightarrow P= \frac{2500}{20.9306} =119.44
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Therefore, his monthly payment is $119.44</span>
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Step-by-step explanation:

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