All categories

3 years ago

How to solve 7^3x+4=49^2x+1

1 answer:

7 0

Raise 49 to the power of 2 to get 2401.
7^3x+4=2401x+1

Raise 7 to the power of 3 to get 343.
343x+4=2401x+1

Since 2401x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 2401x from both sides.
343x+4−2401x=1

Add 343x and −2401x to get −2058x.
−2058x+4=1

Since 4 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 4 from both sides.
−2058x=−4+1

Add −4 and 1 to get −3.
−2058x=−3

Divide each term in the equation by −2058.

x=1/686

You might be interested in

Find area of the shape

pentagon [3]

The answer is a. You find the area of each shape and add them

4 0

3 years ago

Carly is traveling to visit family. She drives x miles on the first day and y miles on the second day for a total of 800 miles.

Dmitrij [34]

Answer:

The domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.

Step-by-step explanation:

We are given that Carly is traveling to visit family.

She drive distance on first day = x

She drive distance on second day = y

We are also given that Carly is travelling a total of 800 miles.

So,x+y=800

We are supposed to find domain and range of this relationship.

y=800-x

Domain : (-∞,∞)

Range:(-∞,∞)

Hence the domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.

5 0

3 years ago

Read 2 more answers

Determine which of the following formulas hold for all invertible n×n matrices A and B.

garik1379 [7]

Answer:

1 hold

2 hold

3 does not hold

4 hold

5 hold

6 hold

7 does not hold

8 does not hold

9 Does not hold

10 Hold

Step-by-step explanation:

The detailed step by step verification is as shown in the attachment

4 0

3 years ago

Find the price-demand equation for a particular brand television when the demand is 20 TVs per week at $150 per TV, given that t

Alina [70]

Answer:

~ $150=50e^{-0.01()20}$

~ $p(100)=\$127.7$

Step-by-step explanation:

From the question we are told that:

Price of 20TVs per week $P_{20}=\$150$

Marginal price-demand function $p'(x)=-0.5e-0.01x$

Generally the The Marginal price function is mathematically given by

$p'(x)=-0.5e^{-0.01x}$

$p(x)=\int-0.5e^{-0.01x}$

$p(x)=50e^{-0.001x}+C$

Therefore the equation when the demand is 20 TVs per week at $150 per TV

$150=50e^{-0.01()20}$

Giving

$p(x)=50e^{-0.01x}+150-50e^{-0.01(20)}$

Therefore the Price when the demand is 100 TVs per week

$p(100)=50e^{-0.01(100)}+150-50e^{-0.01(20)}$

$p(100)=\$127.7$

7 0

2 years ago

Brain test This quiz is to answer guys

defon

A - The trip was 2 hours and 15 minutes which is also 135 minutes.
B - if the delays occurred the actual arrival time would be 11:15

Hope this helps !

8 0

2 years ago