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3 years ago

Given: -3(2x + 7) = -29 – 4x; Prove: x = 4

Mathematics

1 answer:

sergey [27]3 years ago

8 0

Answer:

See steps below

Step-by-step explanation:

-3(2x+7)=-29-4x

Use the distributive property

-6x-21=-29-4x

Add 21 to each side

-6x=-8-4x

Add 4x to both sides

-2x=-8

Divide by -2

x=4

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The value of a car bought new for $28900 decreases 15% each year. Identify the function for the value of the car. Does the funct

Eva8 [605]

Answer:

V (t) = 28,900 - 4,335t

The function clearly represent a decay

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Value of the car = $ 28,900

Annual depreciation = 15% = 0.15

2. Identify the function for the value of the car. Does the function represent growth or decay?

Let y represent the value of the car after t years of utilization, let p the price of the car and d, the annual depreciation, therefore:

V (t) = p - (d * t * p)

Replacing with the values we know:

V (t) = 28,900 - (0.15 * t * 28.900)

V (t) = 28,900 - 4,335t

The function clearly represent a decay.

8 0

4 years ago

Victoria recently switched to a new electric company. If she uses between 0 and 400 kilowatt-hours (kWh) of electricity per mont

Gekata [30.6K]

Answer:

see the explanation

Step-by-step explanation:

The question is

Identify the domain and the range, using words and inequalities

Let

x -----> the number of kilowatt-hours (kWh) of electricity per month

y ----> the price per month

we know that

Part 1) For the value of x between 0 kWh and 400 kWh

$0\ kWh \leq x < 400\ kWh$

The price is equal to

$y=\$30$

therefore

The domain is the interval ------> [0,400)

The domain is all real numbers greater than or equal to 0 kWh and less than 400 kWh

The range is ($30)

The range is equal to $30

Part 2) For the value of x equal to 400 kWh or more per month

$x\geq 400\ kWh$

The domain is the interval -----> [400, infinite)

The domain is all real numbers greater than or equal to 400 kWh

The price is

$y=0.097x$

Find the range

For x=400 kWh

$y=0.097(400)=\$38.8$

$y\geq \$38.8$

The range is the interval -----> [38.8, infinite)

7 0

3 years ago

I really need help with this question!

ololo11 [35]

Same as all the other ones like this.

Since the two figures are similar . . .

-- The ratio of of their volumes is R³ .

-- The ratio of their surface areas is R² .

-- The ratio of their dimensions is R .

So R³ is 729 / 2744 .

Take the cube root of that and you'll have R .

Then square R and you'll have the ratio of their surface areas.

5 0

3 years ago

Given the equation y = 2x - 8, what is the slope and the y-intercept?

aniked [119]

The answer to this is the second choice

4 0

3 years ago

Read 2 more answers

ANSWER ASSAPP !!!!!!!!!!!!

STatiana [176]

Answer:

A: 11,13, 290

B: 7,24,25

Step-by-step explanation:

A &B both form a right triangle not C

3 0

3 years ago