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3 years ago

Which are solutions of the linear equation?

Mathematics

2 answers:

olga2289 [7]3 years ago

5 0

The answer to your question is option b, c and e

Marat540 [252]3 years ago

4 0

Answer: (2,4) (3, 1) (5,-5)

Explanation: if you input the X values from the options for X and Y values for Y and it equals to 10 then it is a solution:)

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Slope of the line described by the equation y=6x+5

Galina-37 [17]

Answer:

slope --> m=6

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Options for first blank: V=PR V=(PR)^(1/2) V=P^2R Options for second blank 16 5 4

oksano4ka [1.4K]

Answer:

The formula to find the voltage is:

$v=\sqrt{P*R}$

And the voltage is 4 volts

Step-by-step explanation:

To get the equation of voltage you need to isolate v in one side of the equation. In order to do that, you need to remove the divisor/denominator and its square. How will you do that?

First, multiply both sides with R:

$P*R=\frac{v^{2} }{R} *R$

That would result into removing the divisor R from the right side of the equation:

$P*R=v^{2}$

Next, square-root both sides:

$\sqrt{P*R} =\sqrt{v^{2} }$

That would result in removing the square of v from the right side of the equation:

$\sqrt{P*R} =v$

Thus we get the equation, $v=\sqrt{P*R}$ .

To find out the voltage, simply replace R with 32 and P with 0.5

$v=\sqrt{0.5*32}$

$r=\sqrt{16}$

$r=4$

Thus, the voltage is 4 volts.

4 0

3 years ago

solve the problem related to population growth.A city had a population of 23,900 in 2007 and a population of 25,100 in 2012.(a)

Finger [1]

Solution

To find the exponential growth function, we apply the exponential growth formula which is

$N(t)=a(1+k)^t$

Where

$\begin{gathered} a\text{ is the }initial\text{ population} \\ k\text{ is the growth rate} \\ t\text{ is the number of time intervals} \end{gathered}$

Given that

$\begin{gathered} a=23,900 \\ N(5)=25,100 \\ t=2012-2007=5 \end{gathered}$

Substitute the variables into the exponential growth formula

$\begin{gathered} 25100=23900(1+k)^5 \\ \text{Divide both sides by 23,900} \\ \frac{25100}{23900}=\frac{23900(1+k)^5}{23900} \\ 1.05021=(1+k)^5^{} \\ \sqrt[5]{1.05021}=1+k \\ 1.00984=1+k \\ \text{Collect like terms} \\ k=1.00984-1 \\ k=0.00984 \end{gathered}$

Hence, the exponential growth function is

$\begin{gathered} N(t)=23900(1+0.00984)^t_{} \\ N(t)=23900(1.00984)^t \end{gathered}$

Hence, the exponential growth function is

$N(t)=23900(1.00984)^t$

For the population of the city in 2022,

$\begin{gathered} t=2022-2007=15 \\ t=15 \end{gathered}$

Substitute for t into the exponential growth function

$\begin{gathered} N(t)=23900(1.00984)^t \\ N(15)=23900(1.00984)^{15} \\ N(15)=27700\text{ (nearest hundred)} \end{gathered}$

Hence, the population is 2022 is 27700 (nearest hundred)

8 0

1 year ago

Math!!!! Fined the area of the triangle

Yanka [14]

Answer:

Area = 40 cm²

Step-by-step explanation:

Area of triangle is derived by the formula,

Area = $\frac{1}{2}(\text{Base})(\text{Height})$

Length of Base = 8 cm

Height of the triangle = 10 cm

Therefore, area of the given triangle = $\frac{1}{2}(8)(10)$

= 40 cm²

3 0

3 years ago

Lily goes car shopping and finds two cars. The first one burns fossil fuel, gasoline, that sells for $18,000. It will cost $100

Anna007 [38]

Answer:

Cost to buy and run the first car for 5 years=$24000

Cost to buy and run the second car for 5 years=$26000

I think we should buy the first car, because It is cheaper to buy and maintain

Step-by-step explanation:

first car:

Cost $18000 to buy

Cost $100 to maintain each month

5years =5 x 12=60months

Cost to maintain for 60months=100x60=$6000

First car cost to buy and run over the 5 year period=18000+6000=$24000

Second car:

It cost $22400 to buy

Cost $60 to maintain each month

5years=60months

Cost to maintain for 60months is 60 x 60=$3600

Cost to buy and run over the second car for 5years is 22400+3600=$26000

4 0

4 years ago