Pls help me with trig! i’d appreciate it

Answer:

(0,2) - (2,0) - (4,-2)

Step-by-step explanation:

You have the following straight line:

[tex]y=-x+2[/tex]   (1)

You can plot the y-intercept point, the x-intercept point and another one.

The y-intercept is obtained by doing x=0:

y=-+2=2

y-intercept = 2

the x-intercept is obtained by doing y=0 and solving for x:

0=-x+2

x=2

x-intercept = 2

another point can be for x = 4:

y=-4+2=-2

Then, the points to plot are

(0,2) - (2,0) - (4,-2)

The graph is attached in the image below.

Answer:

2(m + 4n)

Step-by-step explanation:

Given

2m + 8n ← factor out 2 from each term

= 2(m + 4n) ← in factored form

Answer:

2(m + 4n).

Step-by-step explanation:

2m + 8n          The HCF is 2 so the answer is

2(m + 4n).

Answer:

Part A:

First option leasing:

[tex]y = 250x + 4000[/tex]

Second option financing:

[tex]y = 400x + 400[/tex]

The slope of the second option is greater than the first option meaning that monthly payments are greater for the second option as compared to the first option.

The y-intercept of the first option is greater than the second option meaning that the initial payment of the first option is much greater than the second option.

Part B:

As you can see in the graph, the second option is better when x is less than 24 months and the first option is better when x is greater than 24 months.

The second option has less initial payment but greater monthly payment that is why it is better for the short term (for less number of months)

On the other hand, the first option has a greater initial payment but less monthly payment that is why it is better for the long term (for greater number of months)

Step-by-step explanation:

Part A:

First option leasing:

The standard slope-intercept form is given by

[tex]y = mx + b[/tex]

Convert the given equation into slope-intercept form.

[tex]250x - y + 4000 = 0 \\\\y = 250x + 4000[/tex]

where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months and 250 is the slope that indicates the rate of change of y with respect to x.

Second option financing:

We are given two points,

[tex](x_1,y_1) = (0,400)[/tex]

[tex](x_2,y_2) = (10,4400)[/tex]

The slope m is given by

 [tex]$ m = \frac{y_2 - y_1}{x_2 - x_1} $[/tex]

[tex]$ m = \frac{4400 - 400}{10 - 0} $[/tex]

[tex]m = 400[/tex]

To find the value of the y-intercept (b),

substitute [tex](x_1,y_1) = (0,400)[/tex]

 [tex]y = 400x + b \\\\400 = 400(0) + b \\\\b = 400[/tex]

So the equation of the second option is

[tex]y = 400x + 400[/tex]

Comparison:

The slope of the second option is greater than the first option meaning that monthly payments are greater for the second option as compared to the first option.

The y-intercept of the first option is greater than the second option meaning that the initial payment of the first option is much greater than the second option.

Part B:

Refer to the attached graph,

The point of intersection is obtained when we equate both equations,

[tex]250x + 4000 = 400x + 400 \\\\4000 - 400 = 400x - 250x \\\\3600 = 150x \\\\x = 3600/150 \\\\x = 24[/tex]

x = 24 months is the break-even point meaning that at this point both options are equally good.

As you can see in the graph, the second option is better when x is less than 24 months and the first option is better when x is greater than 24 months.

The second option has less initial payment but greater monthly payment that is why it is better for the short term (for less number of months)

On the other hand, the first option has a greater initial payment but less monthly payment that is why it is better for the long term (for greater number of months)

Answer:

11 17/21 cm²

Step-by-step explanation:

5 1/6 = (5*6 + 1)/6 = 31/6

2 2/7 = (2*7 + 2)/7 = 16/7

A = 31/6*16/7 = 496⁽²/42 = 248/21 = 11 17/21 cm²

Answer: 1:330

Step-by-step explanation:

Ratio is the the quantitative relation that exists between two amounts whihc shows the amount of times a particular value is contained in the other value.

From the question, we are told that the African elephant that weighs 16,500 pounds will need to drink 50 gallons of water every day. The ratio of the amount of water consumed to the weight of the elephant will be:

50:16500

We can simply further by finding the highest common factor for 50 and 16500 which is 50.

50 = 50 × 1

16500 = 50 × 330

Therefore, the simplified ratio will be:

1:330

Answer:

x² + 18x + 81 = 0

Step-by-step explanation:

For the zero to -9, the equation has to be x + 9.

x = -9

x + 9 = 0

Since the only zero is -9, square the equation.  Expand to get the function

(x + 9)² = 0

x² + 18x + 81 = 0

The  quadratic function f whose only zero is -9 should be [tex]x^2 + 18x + 81 = 0[/tex]

A quadratic function should be the one of the form f(x) [tex]= ax^2 + bx + c[/tex] , where a, b, and c are numbered with a not equal to zero. The graph of a quadratic function is a curve known as a parabola.

So, For the zero to -9, the equation has to be x + 9.

Now

x = -9

x + 9 = 0

So it can be like (x + 9)² = 0

Learn more about function here: https://brainly.com/question/13223520

Answer:

a. f(-2) = -6

b. f(0) = 6

c. f(2) = 10

Step-by-step explanation:

The function is given as:

f(x) = 5x + 4                                      if x < 0

f(x) = 2x + 6                                      if x ≥ 0

(a) f(-2)

x < 0:

=> f(-2) = 5(-2) + 4

f(-2) = -10 + 4

f(-2) = -6

(b) f(0)

x ≥ 0:

=> f(0) = 2(0) + 6

f(0) = 6

(c) f(2)

x ≥ 0:

=> f(2) = 2(2) + 6

f(2) = 4 + 6

f(2) = 10

Answer:

-3 + 9i

Step-by-step explanation:

The conjugate of -3i is - 3 - i.

(- 3 i) × (- 3 - i)

Multiply both terms.

-3 + 9i

The multiplication of the complex number -3i and it’s conjugate 3i is 9.

A complex number is characterized by an ordered pair of numbers, the real and imaginary parts. It can be represented in multiple ways such as Standard form(rectangular form), Polar form, Exponential form.

For the given situation,

The complex number is -3i.

The conjugate of a complex number a+bi is a-bi.

So, the conjugate of a complex number [tex]-3i[/tex] is [tex]3i[/tex]

Now multiply -3i and 3i, we get

⇒ [tex](-3i)(3i)[/tex]

⇒ [tex]-9(i^{2} )[/tex]

⇒ [tex]-9(-1)[/tex]               [∵ [tex]i^{2}=-1[/tex]]

⇒ [tex]9[/tex]

Hence we can conclude that the multiplication of the complex number -3i and it’s conjugate 3i is 9.

Learn more about complex numbers here        

https://brainly.com/question/14029629

#SPJ2

Answer:

4x²+3x-7 is the answer

Step-by-step explanation:

=(4x²-2x)+(5x-7)

opening brackets

=4x²-2x+5x-7

=4x²+3x-7

i hope this will help you :)

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{48}{60}[/tex]

To simplify find the highest common factor of 48 and 60, that is 12

Divide both values by 12

[tex]\frac{48}{60}[/tex] = [tex]\frac{4}{5}[/tex] ← in simplest form

The fraction is in simplest form when no other factor but 1 divides into the numerator and denominator

Answer:

(-1)* (3)^(n-1)

Step-by-step explanation:

common ratio is 3 and the first term is -1

the explicit formula is a * r^ ( n-1)

i.e., (-1) * 3^(n-1)

Answer:

The maximum power available to the motor is 2.4 MW

Step-by-step explanation:

The power of  a circuit that has a current, I, and a voltage, V, is given by the relation

Electrical power, P = I²R = I× I×R = I × V

Therefore given that the parameters are;

Voltage in the d.c. power supply = 600 V d.c.

Maximum current in the motor = 4000 A

Therefore, we can find the power as follows;

Maximum motor power = Voltage × Current

The maximum motor power, P available =  600 V × 4000 A = 2400000 W which on converting to MW becomes;

The maximum power available to the motor , P = 2.4 MW.

Answer:

1.  3³

2.  (-5)⁴

3.  3¹⁰

4.  4⁰

Step-by-step explanation:

When multiplying exponents with the same base, you add the exponents.  When dividing exponents with the same base, you subtract the exponents.  When raising a number with an exponent to another power, multiply the exponents.

1.  [tex]\frac{3^4*3^6}{3^2*3^5} =\frac{3^{10}}{3^7}=3^3[/tex]

2.  [tex]\frac{(-5)^{12}}{(-5)^3*(-5)^5} =\frac{(-5)^{12}}{(-5)^8}=(-5)^4[/tex]

3.  [tex](3^2)^5=3^{10}[/tex]

4.  [tex]\frac{4^0*4^4}{4^1 * 4^3} =\frac{4^4}{4^4}=4^0[/tex]

Answer:

This is the quantity of output per unit of input.

Step-by-step explanation:

I'm very sure.

Step-by-step explanation:

In my opinion 28

Is an outlier

Answer: f²+g²=h²

Step-by-step explanation:

In a right triangle, you use the Pythagorean Theorem: a²+b²=c² to find the hypotenuse of the triangle. I would believe that you could just substitute the variables in this equation with the ones that you have. This should show the relationship between the 3 unknown lengths of the sides.

Answer:

8

Step-by-step explanation:

The constant of proportionality is y/x since the graph goes through (0,0)

When y=16 x=2

16/2 = 8

Answer:

It is correct.

Step-by-step explanation:

The constant of proportionality is simply the slope. According to the graph, the rise is 16, and the run is 2, and 16 / 2 = 8.

Hope this helps!

Answer:

4

Step-by-step explanation:

9 divided by 36

Answer:

4 words/minute

Step-by-step explanation:

Since we need words per minute, we divide the number of words by the number of minutes.

words/minute = (36 words)/(9 minutes) = 4 words/minute

Answer:

x = 1 and x = 3.

Step-by-step explanation:

y = 2[tex]x^{2}[/tex] - 8x + 6

y = 2([tex]x^{2}[/tex] - 4x + 3)

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

So, the x-intercepts would be at...

x-3 = 0

x = 3

and

x - 1 = 0

x = 1

Hope this helps!

Answer:

The average speed is 800 km/h

Step-by-step explanation:

The first thing to do here is to completely write the speed in hours.

We have 9 hours 45 minutes

45 minutes in hours is 45/60 = 3/4 = 0.75

So 9 hours 45 minutes = 9.75 hours

The average speed mathematically = Total distance/ Total time

That would be;

7800/9.75 = 800 km/h

Answer:

I think it has B option

Step-by-step explanation:

the graph  shows that  line pass through positive x-axis and negative y-axis so the answer of y is -tive and x is positive

if x=0

y=-2

if y =0

x=2/4=1/2

Answer:

1/3 min ( = 20 seconds)

Step-by-step explanation:

The period of the ride is the time he takes to complete 1 revolution

We are given:

12 revolutions -------> takes 4 min

1 revolution ------> takes 4/12 = 1/3 min  (= 20 seconds)

Answer:

B

Step-by-step explanation:

0 to 9 has 10 numbers, and 7 numbers are 0, 1, 2, 3, 4, 5, 6, so the ans is B.

---------------------------------------------------------------------------------------

Hope this helps you...

Answer:

0.5 or 50%

Step-by-step explanation:

The number of total employees is:

[tex]T=15+25+10 =50\ Employees[/tex]

The number of married employees is:

[tex]M=10+10+5 =25\ Employees[/tex]

The probability that a randomly selected employee is not married is given by:

[tex]P=1-\frac{M}{T}\\P=1-\frac{25}{50}\\P=0.5\ or\ 50\%[/tex]

The probability is 0.5 or 50%.

Answer:

£700

Step-by-step explanation:

First we find the interest on this money.

Interest = Principal * Rate * Time

             =[tex]\frac{500 * 8 * 5}{100}[/tex]

            =5 * 8 * 5

            =£200

Interest = £200

Now you add his actual money to the interest you just found to give you the total amount.

Amount = £500 + £200

             = £700

Answer:

Step-by-step explanation:

We're going to leave the right side alone and work on the left side. In other words we are going to use a series of substitutions for these trig idenitites and get the left side manipulated to look like the right side.

Begin with the fact that sin(2x) = 2sin(x)cos(x) and make that first substitution:

2sin(x)cos(x) - tan(x) = right side

Now use the fact that the tangent is the same as the sin over the cos:

[tex]2sin(x)cos(x)-\frac{sin(x)}{cos(x)}[/tex] = right side

Now find a common denominator of cos(x) by multiplying the 2sin(x)cos(x) by cos(x) and writing the whole mess over that common denominator:

[tex]\frac{2sin(x)cos^2(x)-sin(x)}{cos(x)}[/tex] = right side

Now factor out a sin(x):

[tex]\frac{sin(x)(2cos^2(x)-1)}{cos(x)}[/tex] = right side

If we "split" that up and simplify at the same time, we'll see that sin(x) ovr cos(x) is the same as the tan(x), and that 2cos^2 - 1 is the same as cos(2x):

[tex]\frac{sin(x)}{cos(x)}(2cos^2(x)-1)=tan(x)cos(2x)[/tex] and that the left side now is the same as the right side. You MUST learn to recongize these identities.  I'll attach a copy that I made and give to my pre-calculus and calculus classes every year, if I am able to.

Answer:

All real numbers

Step-by-step explanation:

Since 0 does equal 0, and value would be able to work. So any x-value will work. Infinite values for x, resulting in all real numbers.

Answer:

Be careful that you do not confuse the solution x = 0 with “no solution”. The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation

Step-by-step explanation:

Answer:

Standard form: [tex]x^3+3x^2-x-3[/tex]

Leading coefficient: 1

Step-by-step explanation:

[tex]3x^2-x-3+x^3=\\x^3+3x^2-x-3[/tex]

The leading coefficient is 1 because the leading term is [tex]x^3[/tex].

Answer:

  see below

Step-by-step explanation:

The premium is your cost for the insurance, paid to the insurance company.

The deductible is your cost for a claim, paid to settle your liability.

The limit is the maximum the insurance will pay for a given incident.

Answer:

Step-by-step explanation:

UV & UT are the sides