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docker41 [41]
3 years ago
13

Getting trained and licensed involved a one time cost of $474. Gas and insurance costing him $2 per kilometer. Jayden will get p

aid $350 plus $4 per kilometer that he drives. Solve using substitution
Mathematics
1 answer:
Igoryamba3 years ago
3 0

Answer:

y=474+2x

y=350+4x

Answer: x=62 y=598

Step-by-step explanation:

Place the two equations equal to each other.

350+4x=474+2x

Then Subtract 350 from 474 which gets you to 124.

4x=124+2x

Then subtract 2x from both sides.

Which make the equation look like this: 2x=124

Now divide 124 by 2.

so x=62.

Then you will need to plug in x in one of the equations to know what y is.

I plugged it into this one: y=474+2(62)

Now solve.

It should get you to the answer of 598.

So, overall x=62 while y=598.

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Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
Rasek [7]

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
Sam drove 220 miles on 8 gallons of gas. find the unit rate.
zmey [24]

Answer:

27.5

Step-by-step explanation:

7 0
3 years ago
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The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$
babymother [125]

You're given

<em>x</em> + <em>y</em> + <em>z</em> = 165

7<em>x</em> = <em>n</em>

<em>n</em> = <em>y</em> - 9

<em>n</em> = 9 + <em>z</em>

and you want to find <em>xyz</em>.

Solve the last three equations for <em>x</em>, <em>y</em>, and <em>z</em> :

7<em>x</em> = <em>n</em>   →   <em>x</em> = <em>n</em>/7

<em>n</em> = <em>y</em> - 9   →   <em>y</em> = <em>n</em> + 9

<em>n</em> = 9 + <em>z</em>   →   <em>z</em> = <em>n</em> - 9

Substitute <em>x</em>, <em>y</em>, and <em>z</em> into the first equation and solve for <em>n</em> :

<em>n</em>/7 + (<em>n</em> + 9) + (<em>n</em> - 9) = 165

<em>n</em>/7 + 2<em>n</em> = 165

<em>n</em> + 14<em>n</em> = 1155

15<em>n</em> = 1155

<em>n</em> = 77

Now solve for <em>x</em>, <em>y</em>, and <em>z</em> :

<em>x</em> = 77/7 = 11

<em>y</em> = 77 + 9 = 86

<em>z</em> = 77 - 9 = 68

Then the product is

<em>xyz</em> = 11 • 86 • 68 = 64,328

6 0
3 years ago
How many time does 8 go into 448​
Andrej [43]

Answer: 56 times

Step-by-step explanation:

7 0
1 year ago
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1. x squared minus twenty five x equals to o
saw5 [17]

1. {x}^{2} - 25x = 0

2. {y}^{2} - 64

3. {x}^{2} + 2x - 48

I hope that's what you are looking for. Let me know if you were looking for something else.

5 0
3 years ago
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