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d1i1m1o1n [39]
3 years ago
10

Which graph is an example of a function whose parent graph is of the form y = x

Mathematics
1 answer:
trapecia [35]3 years ago
4 0
When line is parallel to y axis
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The sum of two numbers is 66. Two times the smaller number is 15 more than the larger number. What are the numbers?
Rudiy27

Here is the set up:

Let x and y be the two numbers with x the smaller and y the larger number.

x + y = 66

2x = y + 15

We have two equations in two unknowns.

Take it from here.

5 0
3 years ago
Read 2 more answers
Scientist are studying a bacteria sample. The function f(x)=360(1.07)^x gives the number of bacteria in the sample at the end of
Lapatulllka [165]

Options :

A. The initial number of bacteria is 7.

B. The initial of bacteria decreases at a rate of 93% each day.

C. The number of bacteria increases at a rate of 7% each day.

D. The number of bacteria at the end of one day is 360.

Answer:

C. The number of bacteria increases at a rate of 7% each day.

Step-by-step explanation:

Given the function :

f(x)=360(1.07)^x ; Number of bacteria in sample at the end of x days :

The function above represents an exponential growth function :

With the general form ; Ab^x

Where A = initial amount ;

b = growth rate

x = time

For the function :

A = initial amount of bacteria = 360

b = growth rate = (1 + r) = 1.07

If ; (1 + r) = 1.07 ; we can solve for r to obtain the daily growth rate ;

1 + r = 1.07

r = 1.07 - 1

r = 0.07

r as a percentage ;

0.07 * 100% = 7%

7 0
2 years ago
There are two twins. One twin wants to explore the planet near Proxima Centauri and leaves on a spaceship traveling at 90% of th
miskamm [114]

Answer:

<em>4.7 years</em>

Step-by-step explanation:

Distance of planet from Earth = 1.3 parsec

We know that 1 parsec = 3.26 light years

And a light year is the distance traveled by light in time period of 1 year.

So, Distance of planet from Earth = 1.3 \times 3.26 = 4.24 light years

Given that, the person travels at a speed equal to 90% of the light speed.

To travel to the planet from Earth, Light takes 4.24 years.

To travel the distance D, at a speed s light takes time of 4.24 years.

To travel the distance D, at a speed 0.90s, the person takes time:

\dfrac{4.24}{0.90} = \bold{4.7\ years}

So, the twin on Earth ages by <em>4.7 years.</em>

7 0
3 years ago
Solve (x - 5)2 = 3.O A. x = -51 1/3O B. x = 3 15O C. x = 5+:13O D. x = 8 and x = -2
Virty [35]

In order to solve the given expression follow these steps:

1. Take the square roots on both sides in order to get rid of the power on the left side:

√(x-5)² = ±√3

x - 5 = ±√3

2. add 5 on both sides:

x-5 + 5 = 5 ±√3

x = 5 ±√3

Then, the solution is x = 5 ±√3

6 0
1 year ago
A system of equations is shown below
KatRina [158]

Answer:

D Multiply equation B by 5 and equation A by 4 and add the results together

7 0
2 years ago
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