Which ordered pair is a solution to the system of inequalities?

{y > -2
{x + y ≤ 4

A. (1,3)
B. (0, -4)
C. (-2,-3)
D. (1,5)

Hey there!

GUIDE

• The word “sum” means add

• The word “difference” means subtract

• The word “product” means multiply

• The word “quotient” means divide

• The word “is” means equal to

• The “unknown number” is a variable that is not known. So people usually label it as a variable until they figure out what the unknown value is.

Now that we have that information out the way we can solve for your given question.

“The [DIFFERENCE] between [a number] & 16 [is] 49

Lets break it down

• DIFFERENCE (between) = subtract☑️

• A NUMBER = UNKNOWN (so we will label it is as “n”]☑️

• 16 will stay the same because NOTHING was done to it!

• IS = is equal to☑️

We have the key terms out of the way so now we met our answer

ANSWER:

“n - 16 = 49”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

121 for both

Step-by-step explanation:

if we split the shape in the middle, we get two congruent triangles.

divide each angle by 2, and you will get 24 and 35.

The rule of angles within a triangle is that all of them must equal 180.

so

180-(24+35)

180-59

=121 degrees for both k and m

:)

Answer:

The answer is 121 for both k and m!! Hope this helps

Step-by-step explanation:

Add 70 and 48 which is 118 then subtract it to 360(always) which is 242 then divide it by 2 since theres 2 sides which you get 121

The given curve crosses the x-axis whenever x is a multiple of π, and it lies above the x-axis between consecutive even and odd multiples of π. So the regions with area S₀, S₁, S₂, ... are the sets

[tex]R_0 = \left\{(x, y) : 0 \le x \le \pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

[tex]R_1 = \left\{(x, y) : 2\pi \le x \le 3\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

[tex]R_2 = \left\{(x, y) : 4\pi \le x \le 5\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

and so on, with

[tex]R_k = \left\{(x, y) : 2k\pi \le x \le (2k+1)\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

for natural number k.

The areas themselves are then given by the integral

[tex]S_k = \displaystyle \int_{2k\pi}^{(2k+1)\pi} \int_0^{e^{-x}\sin(x)} dy \, dx = \int_{2k\pi}^{(2k+1)\pi} e^{-x}\sin(x) \, dx[/tex]

Integrate by parts twice. Take

[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]

[tex]dv = \sin(x) \, dx \implies v = -\cos(x)[/tex]

so that

[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - \int e^{-x}\cos(x) \, dx[/tex]

then

[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]

[tex]dv = \cos(x) \, dx \implies v = \sin(x)[/tex]

so that

[tex]\displaystyle \int e^{-x}\cos(x) \, dx = e^{-x}\sin(x) + \int e^{-x}\sin(x) \, dx[/tex]

Overall, we find

[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - e^{-x}\sin(x) - \int e^{-x}\sin(x) \, dx[/tex]

or

[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -\frac12 e^{-x} (\cos(x)+\sin(x)) + C[/tex]

Using the antiderivative and the fundamental theorem of calculus, we compute the k-th area to be

[tex]\displaystyle S_k = -\frac12 e^{-(2k+1)\pi} (\cos((2k+1)\pi)+\sin((2k+1)\pi)) + \frac12 e^{-2k\pi} (\cos(2k\pi)+\sin(2k\pi))[/tex]

[tex]\displaystyle S_k = \frac12 e^{-2k\pi} \cos(2k\pi) \left(e^{-\pi} + 1\right)[/tex]

[tex]\displaystyle S_k = \frac{e^{-\pi}+1}2 e^{-2k\pi}[/tex]

Since [tex]\left|e^{-2\pi}\right|<1[/tex], the sum we want is a convergent geometric sum. As n goes to ∞, we have

[tex]\displaystyle \lim_{n\to\infty} \sum_{k=0}^n S_k = \frac{e^{-\pi}+1}2 \cdot \frac1{1 - e^{-2\pi}} = \boxed{\frac{e^\pi+1}{4\sinh(\pi)}}[/tex]

Answer:

So k is 75-12=63

Answer:

63

Step-by-step explanation:

subtract 75 from 12

Answer:

5

Step-by-step explanation:

First, you multiply the 5 by 2x to get 10x, then multiply the 5 by -2 to get -10. After that, you should get:

10x-10=8x

And here’s how you find x:

10x-10=8x

-10x     -10x

-10x=-2x

/-2x   /-2x

x=5

Answer:

y=-4x+16

Step-by-step explanation:

5x+1.25=20

y=4x

5x+1.25y=20       y=4x

1.25y=-5x+20

1.25y/1.25=-5x+20/1.25

Answer:

A linear equation has the greatest x power at 1.

If you see an equation with only x (no x^2 or x^3 or stuff like that), you will know that it is linear.

Hey there!

f(x) = -3|2x - 9| + 4

y = -3|2x - 9| + 4

y = -3|2(-5) - 9| + 4

y = -3|-10 - 9| + 4

y = -3|19| + 4

y = -57 + 4

y = -53

Therefore, your answer should be: f(x) = -53

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Equation at the end of step1: (7x + 18) (4) - 4x = 0 2 STEP2:Equation at the end of step 2 2 • (7x + 18) - 4x = 0 STEP3:STEP4:Pulling out like terms

 4.1     Pull out like factors :

   10x + 36  =   2 • (5x + 18) 

Equation at the end of step4: 2 • (5x + 18) = 0 STEP5:Equations which are never true:

 5.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

 5.2      Solve  :    5x+18 = 0 

 Subtract  18  from both sides of the equation : 

                      5x = -18

Divide both sides of the equation by 5:

                     x = -18/5 = -3.600

Answer:

A

Step-by-step explanation:

Seems like a reasonable answer choice

Answer:

Step-by-step explanation:

What is the value of the expression Negative 225 divided b (negative 15)?

What is the value of the expression 30 divided by (negative 6)?

I answer for what I understand

-225 : 15 = - 15

30 : (- 6 ) = -5

Answer: y = (5/3)x - 5

Step-by-step explanation:

5x-3y=15

-3y = -5x + 15

y = (5/3)x - 5

Answer:

In slope intercept form, I think it would be y=5/3x-5

Step-by-step explanation:

5x-3y=15

-subtract 5x on both sides-

-3y=-5x+15

-divide by -3 on both sides-

y=-5/-3x+15/-3

(the negatives on -5/-3 cancel each other out leaving you with a positive 5/3)

y=5/3x-5

Im not sure if all calculations are correct, but i hope this helps! :)

we have:    3(a+b)=28 => a + b = 28/3

=> a = 28/3 - b      and      b = 28/3 - a

ok done. Thank to me :>

Answer: there you go

Step-by-step explanation:

Answer:

angle 4 is 47 degrees....

Answer:

a)

Slope form y=2x+3

Standard form 2x-y=-3

b)

Slope y=3/5x-6

Standard 3x-5y=30

c)

slope y=-3/2x+9

standard 3x+2y=18

d)

slope y=-3x+0

standard = 3x+y=0

Step-by-step explanation:

a)

Slope form y=2x+3

Standard form 2x-y=-3

b)

Slope y=3/5x-6

Standard 3x-5y=30

c)

slope y=-3/2x+9

standard 3x+2y=18

d)

slope y=-3x+0

standard = 3x+y=0

Answer:

70°

Step-by-step explanation:

the bottom small triangle is isosceles, which means in this case it has 2 35° angles. the third angle y is 180-2*35=110°

x is 180 - y = 180-110 = 70°

Answer:

$416

Step-by-step explanation:

weeks in a year is 52 weeks

52×8=416$

Answer:8 and 22

Step-by-step explanatio

Answer:

we know that

Hillary

swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54

runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48

cycles every 16 days---> Multiples of 16---> 16-32-48-64

therefore

In 48 days she will do all three on the same day.

the answer is

48 days

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

donwload the gautmaht this is very powerful calculator to math problems

Step-by-step explanation:

make this is helpful too you

Answer:

its b

Step-by-step explanation:

Using the normal distribution, it is found that the correct option is:

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{117 - 100}{17}[/tex]

[tex]Z = 1[/tex]

Hence, the option d is correct.

To learn more about the normal distribution, you can check https://brainly.com/question/24663213

Total area = 12 + 18 = 30cm²

Answer:

Area of the right angled triangle:-

= height × base ÷ 2

= 4 cm × 6 cm ÷ 2

= 4 cm × 3 cm

= 12 cm²

Area of the rectangle:-

= length × breadth

= 6 cm × 3 cm

= 18 cm²

Area of the figure:-

= 12 cm² + 18 cm²

= 30 cm²

Answer

A

Step-by-step explanation:

The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given series is -4, -1, 2, 5, 8. The common difference of the series is  calculated as,

d = -1 - ( -4 )

d = -1 + 4

d = 3

The equation will be written as,

an = a₁ + d(n - 1)

an = -4 + 3(n - 1)

Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

To know more about arithmetic progression follow

https://brainly.com/question/6561461

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Answer: 1/4

Step-by-step explanation: i think it is 1/4 bc 48 is the total and 12 can go in 48 4 times

i hope this helped have a good day

This means that  12 cars are green,12 cars are blue,and 12 cars are yellow/white. which means there are 4 groups of cars  which all together equals 48 which is 48 divided by 12 equals 4 or just do 12 +12+12+12+48  or

4+4+4+4+4+4+4+4+4+4+4+4=48  

Meaning there are 4 groups and 12 is 1 part of them which makes 1/4

Answer:

2^2×20

Step-by-step explanation:

2^2×20

because 2×20=40

so, 2^2×20=2^40

The Following are the representation of [tex]2^{40[/tex] as a power in different bases

a) [tex]2^{ 2 * 20}[/tex]

b) [tex]2^{ 5 * 8}[/tex]

c) [tex]2^{ 8 * 5}[/tex]

d) [tex]2^{ 10 * 2}[/tex]

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

[tex]2^{40[/tex] as a power

so, writing the above in given bases

a) 2²

= [tex]2^{ 2 * 20}[/tex]

= [tex]2^{40[/tex]

b)[tex]2^5[/tex]

= [tex]2^{ 5 * 8}[/tex]

= [tex]2^{40[/tex]

c) [tex]2^8[/tex]

= [tex]2^{ 8 * 5}[/tex]

= [tex]2^{40[/tex]

d) [tex]2^{10[/tex]

= [tex]2^{ 10 * 2}[/tex]

= [tex]2^{40[/tex]

Learn more about exponents and power here:

https://brainly.com/question/15722035

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Answer:

90/360 x 3.14 x [tex]2^{2}[/tex]. (put into calculator)

Step-by-step explanation:

This is a sector of a circle we can see that there is a right angle (90 degrees) so we can say there is 90/360 of a circle.

The formula for the area of a circle is pi times radius squared.

We can use this but also need to use 90/360.

We can say the area of the shape is 90/360 x 3.14 x [tex]2^{2}[/tex].