Solution to the systems of equations,
g(x)=3x+2
f(x)=|x-1|+1

Solution To The Systems Of Equations, G(x)=3x+2f(x)=|x-1|+1

Answers

Answer 1

Hi there! :)

[tex]\large\boxed{\text{ x = 0, or (0, 2)}}[/tex]

The solution of g(x) = 3x + 2 and f(x) = |x - 1| + 1 is where the two lines intersect.

According to the graph, the functions intersect at the point (0, 2), or x = 0. This is the solution to the system of equations.

We could also prove this algebraically by setting the two equations equal to each other:

3x + 2 = | x - 1 | + 1

Assume the absolute value function is negative:

3x + 2 = -(x - 1) + 1

Simplify:

3x + 2 = -x + 2

Add x to both sides:

4x + 2 = 2

Subtract 2 from both sides:

4x = 0

x = 0. This is the solution to the system.

Answer 2

g(x)=3x+2 = 2/3
X = 0.6


f(x)=|x-1|+1 = no x intercept/0


Related Questions

Which are corresponding angles

Answers

Answer:

oposite to its angle when they are parallel

Evaluate -2x+6y when x= -3 y=-1

Answers

Answer:

0

Step-by-step explanation:

Substitute x for -3 and y for -1:

= -2(-3) + 6(-1)

= 6 + -6 (or 6 - 6)

= 0

What kind of triangle is 15,16,21

Answers

Answer:

here is my answer is took me alot of time

Step-by-step explanation:

The calculator solves the triangle specified by three of its properties. Each triangle has six main characteristics: three sides a, b, c, and three angles (α, β, γ). The classic trigonometry problem is to specify three of these six characteristics and find the other three. Of course, our calculator solves triangles from any combinations of main and derived properties such as area, perimeter, heights, medians, etc. Usually by the length of three sides (SSS) or side-angle-side or angle-side-angle.

How does this triangle calculator solve a triangle?

The calculation of the general triangle has two phases:

expert phase - which is different for different tasks. From the entered data, the calculator tries to calculate the sizes of three sides of the triangle. He gradually applies the knowledge base to the entered data, which is represented in particular by the relationships between individual parameters of the triangle. These are successively applied and combined, and the parameters of the triangle calculate. Calculator iterate until the triangle has calculated all three sides.

For example, from the given area of the triangle and the corresponding side, the appropriate height is calculated. From the known height and angle, the adjacent side, etc., can be calculated. They use knowledge, e.g., formulas (relations) Pythagorean theorem, Sine theorem, Cosine theorem, Heron's formula, solving equations and systems of equations.

The second stage is the calculation of the properties of the triangle from the known lengths of its three sides.

Examples of how to enter a triangle:

All the sides of the triangle are different and do not satisfy Pythagoras' theorem. Then the triangle is a scalene triangle.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The dimensions of the triangle are 15, 16, and 21.

Check whether it satisfies the Pythagoras theorem or not. Then we have

H² = P² + B²

21² = 16² + 15²

441 = 256 + 225

441 ≠ 481

Every one of the sides of the triangle is unique and doesn't fulfill Pythagoras' hypothesis. Then the triangle is a scalene triangle.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

7n - 5
The polynomial is__

Answers

Answer:

polynomial have 7 side...

Anyone know the answer?

Answers

It’s the one with the yellow

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!

Answers

Answer:

I think 9

Step-by-step explanation:

Answer:

I am probably wrong because I don't remember this but it might be 9 or 19

Step-by-step explanation:

4+2+2+1=9=9+9=18

A quadratic function is described by the equation f(x) = (x - 3) ^ 2 Which statement about the graph of the function is true?
A The only zero of the function is 3 which is where the graph of the function intersects the x-axis
В. The only zero of the function is 3 which is where the graph of the function intersects the y-axis.
C.The only zero of the function is , which is where the graph of the function intersects the x-axis.
D.The only zero of the function is is where the graph of the function intersects the y-axis .

Answers

Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

Step-by-step explanation:

Remember, a quadratic function which has roots x = a, and x = b, can be written as:

p(x) = A*(x - a)*(x - b)

Where A is the leading coefficient. This is the factorized form of a quadratic.

We have the function:

f(x) = (x - 3)^2

Now, we could rewrite this as:

f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)

Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)

Then the only root of f(x) is x = 3.

Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:

A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

In which table is y a linear function of x

Answers

Answer:

We conclude that the table C represents a constant change in x and y.

Hence, table C represents that y is a linear function of x.

Step-by-step explanation:

Here are some of the rules using which we can easily figure out the true nature of a function.

Linear Function:

The constant change in x and y

Quadratic Function:

The constant change in x

The constant 2nd differences in y

Exponential Function:

The constant change in x

The constant ratio in y

We have to find a table in which y is a  linear function of x.

Checking the table C

x         -1         0        1         2          3

y         6         8       10        12        14

Here:

There is a  constant change in x.

i.e. 0 - (-1) = 1;  1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1

Also there is a  constant change in y.

i.e. 8 - 6 = 2;  10 - 8 = 2;  12 - 10 = 2;  14 - 12 = 2

Thus, we conclude that the table C represents a constant change in x and y.

Hence, table C represents that y is a linear function of x.

A club is going to raise money by printing calendars with photos of the community. The cost of printing the calendars is $5.50 per calendar. The photographer also charges a one-time cost of $200 for taking the photos. The club has $1500 to cover the initial costs of the calendar. Create an equation that represents the number of calendars the club can print. Use the variable n for the number of calendars

Answers

Answer:

[tex]n = \frac{1300}{5.50}[/tex]

[tex]n = 236[/tex]

Step-by-step explanation:

Given

The cost of printing one calendars [tex]= 5.5[/tex] dollars

The one time charge of taking photo [tex]= 200[/tex] dollars

The total sum of money with the club [tex]= 1500[/tex] dollars

The total sum of money going into printing of calendars [tex]= 1500 -200 = 1300[/tex] dollars

The total number of calendars that can be printed with remaining [tex]1300[/tex] dollars is equal to

[tex]n = \frac{1300}{5.50}[/tex]

[tex]n = 236[/tex]

A gallon of gas last summer was $2.28. This week, a gallon costs $3.48.
What is the percent change?

Answers

Answer:

52.63%

Step-by-step explanation:

The gasoline increased by $1.20. This means it grew by about 52.63% (Double-check to make sure I am correct)

use the information in the diagram to determine the height of the tree. the diagram is not to scale.

Answers

Answer:

seventy five ft

Step-by-step explanation:

Maricela has a 32 ounce drink. She drink 8 ounces. What is the percent of ounces Maricela left from the drink

Answers

Answer:

The percent she has left in the drink is 75%

Step-by-step explanation:

1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.

points lol 3929292910100100102

-5x+3y=15 and 2x-3y= -15

Answers

Answer:

x = 0; y = 5

Step-by-step explanation:

-5x + 3y = 15

2x - 3y = -15

Add the equations to eliminate y.

3x = 0

x = 0

Now plug in 0 for x in the first equation to solve for y.

-5(0) + 3y = 15

3y = 15

y = 5

Answer: x = 0; y = 5

Simplify and write the trigonometric expression in terms of sine and cosine: sec t − cos t sec t = ( f ( t ) ) 2 sect-costsect=(f(t))2

Answers

Answer:

[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]

Step-by-step explanation:

Given

[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]

Required

Simplify

[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]

Split fraction

[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]

[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]

[tex]sec\ t = \frac{1}{cos\ t}[/tex]

So, we have:

[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]

[tex]f(t) = 1 - cos\ t * cos\ t[/tex]

[tex]f(t) = 1 - cos^2\ t[/tex]

In trigonometry:

[tex]1 - cos^2\ t = sin^2\ t[/tex]

So, we have:

[tex]f(t) = sin^2\ t[/tex]

Rodrigo acelera su bicicleta a razón de 0.9m/s2 bajo la acción de una fuerza de 94N ¿Cuál es la masa de ambos?​

Answers

Answer:

no entiendo español

Step-by-step explanation:

no entiendo español

Which statement is true about the polynomial 5s^6t^2 + 6st^2 - 8s^6t^2 - 6t^7 after it has been fully simplified?

Answers

Given:

The polynomial is

[tex]5s^6t^2+6st^2-8s^6t^2-6t^7[/tex]

To find:

The correct statement about the given polynomial.

Solution:

We have,

[tex]5s^6t^2+6st^9-8s^6t^2-6t^7[/tex]

On combining like term, we get

[tex]=(5s^6t^2-8s^6t^2)+6st^9-6t^7[/tex]

[tex]=-3s^6t^2+6st^9-6t^7[/tex]

Here, the terms are [tex]-3s^6t^2, 6st^9, 6t^7[/tex]. So, the number of terms is 3.

The degree of the polynomial is the highest power of the variable or the product of the variables.

Powers of [tex]-3s^6t^2, 6st^9, 6t^7[/tex] terms are 6+2=8, 1+9=10, 7.

Since the highest power of the product of the variable is 10, therefore, the degree of the polynomial is 10.

Hence the correct option is b.

6 is 12% of what number?

Answers

Answer:

50

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with respect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day. Which of the following is a differential equation that models this situation?

a. P=2(t−5)+10
b. dP/dt=2/5t
c. dP/dt=1/5P
d. dP/dt=5P

Answers

Answer:

c. dP/dt = (1/5)P

Step-by-step explanation:

Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have

dP/dt ∝ P

dP/dt = kP

Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,

2 = k × 10

k = 2/10

k = 1/5

So, dP/dt = kP

dP/dt = (1/5)P

The option C is correct

Differentiation

The rate of change of a function with respect to the given variable.

How to get the option?

The rate of change of population with respect to time is directly proportional to the population P. We have

[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} \propto P\\\\\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP[/tex]

[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t}[/tex] is 2 million insects per day and P = 10 million insects after 5 days. So

[tex]\begin{aligned} \dfrac{\mathrm{d} P}{\mathrm{d} t} &= kP\\2 &= 10k\\k &= \dfrac{1}{5} \\\end{aligned}[/tex]

Then

[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP\\\\ \dfrac{\mathrm{d} P}{\mathrm{d} t} = \dfrac{1}{5} P[/tex]

Thus, option C is correct.

More about the Differentiation link is given below.

https://brainly.com/question/24062595

Write
13/8
as a mixed number,

Answers

Answer:

1 5/8

Step-by-step explanation:

Answer:

1 and 5/8

Step-by-step explanation:

hdhdbfhfhfvvfvfvfhd

When 6 pounds of coffee cost $4.68, how much will 3 1/2 pounds cost?

Answers

Answer:

2.73

Step-by-step explanation:

Have a great day! I just put it down to cost per pound and and then multiplied by 3 1/2 and got the answer. :)

Answer:

$4.48

Step-by-step explanation:

6/4.68 = 1.28205128205 = 1.28

3 1/2 x 1.28 =

3.5 x 1.28 = 4.48 =

$4.48

For Sunday's brunch, Alexis is making a recipe that requires 8 cups of milk. She has 3 quarts of milk. Does she have enough for the recipe? Explain using numbers and words. Please make sure to use complete sentences. Please help it’s a test

Answers

Answer:

yes

Step-by-step explanation:

she needs 8 cups and 3 quarts is 12 cups

18/10 = X/12 Solve x.

Answers

Answer:

X = 180/5

Step-by-step explanation:

Hope this helps! :)

Best of luck!

What is the value of the digit 8 in the number 14.812?

Answers

Answer:

the tenth or 0.1

The 8 is in the Tenth place value

Graph the image of square TUVW after the following sequence of transformations:
Rotation 180 counterclockwise around the origin
Reflection across the y-axis

Please help! I don’t understand!

Answers

Move the shape down by one quadrant and flip it so where “U” was at, “W” is in its place and Vice versa

what is the missing angle

Answers

Answer:

x=59deg

Step-by-step explanation:

We will use tangent to find the angle because we do not know the length of the hypotenuse.

Tan(x)=opp/adj

Tan(x)=30/18

Tan(x)~59

So the last option is correct. 59deg

15. A private swimming club
ges $2.50
After the first hour, swimmers have to pay an additional $1.50 for each h.
hour, or part of a half hour thereafter. Georgina and her friend swam int
pool for x hours.

Answers

Answer:$11.00

Step-by-step explanation:

What is the value of
the digit 9 in the
number below?
157,243

Answers

Answer:

Nine hundred

The 9 is in the hundred place. So it would stand for 9 hundred.

the 9 is in the hundreds place.

Definition: This is the rate of distance traveled per unit of time, without regard to direction.
Example: 55 miles per hour on the highway
es )
Term: Type term here

Answers

Answer:

A graphic representation of velocity. Also used to represent speed. This is the rate of distance traveled per unit of time, without regard to direction. ... The slope of the line tells us the rate of change in velocity.

Step-by-step explanation:

Katie has to drive 15 miles east and 36 miles north to get to her aunt's house. Which of the following equations could be used to find the direct distance to her aunt's house?

1. 36 2 + b2 = 15 2
2. 15 2 + 36 2 = c2
3. a2 + 15 2 = 36 2

Answers

15 miles + 36 miles = total miles
It is B/2 you are welcome.

If the perimeter of this trlangle is 15 centimeters, what is the value of n? 5n - 6 2n + 1 Express your answer as a decimal number. n =​

Answers

Answer:

n =1.78

Step-by-step explanation:

2(5n-6)

2(n+1)

10n-12+4n+2=15

14n-10=15

subtract both sides by 10

14n=25

25/14

n=n =1.78571428571

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