Which of the following ordered pairs is the solution to the following system of equations?
X + y = 11
x - 4y = -14
(5,6)
(5-6)
(6,5)
(6,-5)

Answer:

see explanation

Step-by-step explanation:

(a)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 100) and (x₂, y₂ ) = (2, 200) ← 2 points on the line

m = [tex]\frac{200-100}{2-0}[/tex] = [tex]\frac{100}{2}[/tex] = 50

The line crosses the y- axis at (0, 100 ) ⇒ c = 100

y = 50x + 100 ← equation of line

where y is monthly savings and x the time in months

(b)

Slope is the monthly deposit , that is $50 per month

The y- intercept indicates the original amount in her account , that is $100

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

   cur_numbers[2] = i % 10

   i = math.floor(i/10)

   cur_numbers[1] = i % 10

   i = math.floor(i/10)

   cur_numbers[0] = i % 10

   if(len(set(cur_numbers)) == 3):

       num += 1

       print(cur_numbers)

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit  = 648

Answer:

-[tex]\sqrt{5}[/tex]/8

Step-by-step explanation:

so you are looking to find the second derivative of this function, given the derivative. that means that all you have to do is take the derivative of that function and then plug in 16 for h.

rewrite the function to be -(5h)^1/2

then take its derivative using power rule and chain rule

-(1/2)*(5)*(5h)^(-1/2)  **the five comes from the chain rule and taking the derivative of the 5h

then plug in 16 for h to find -[tex]\sqrt{5}[/tex]/8 or about -0.2795

Answer:

23 starfish, 7 octopi

Step-by-step explanation:

x=starfish

y=octopi

x+y=30

5x+8y=171

-5(x+y=30)

5x+8y=171

-5x-5y=-150

5x+8y=171

3y= 21

y=7

x+7=30

x=23

23 starfish, 7 octopi

Answer:

380

Step-by-step explanation:

area of a circle is pir^2

3.14(11)^2

3.14(121)

=380sqft

Answer:

Ted's Organic Market

Step-by-step explanation:

Calculate the unit cost ( price per pound )

From the table using $16.50 for 6 lbs , then

unit cost = $16.50 ÷ 6 = $2.75

From the graph using $8.40 for 3 lbs , then

unit cost = $8.40 ÷ 3 = $2.80

Ted's Organic Market has the better price

Answer: C) 2200

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

The slopes of parallel lines are equal.

If two lines are parallel (that means they are at the same angle, they are always the same distance apart and they never cross), then they have the same slope. Both lines have slope -3

Answer:

-3

Step-by-step explanation:

There is a rule in math that if two slopes are parallel, they must have the same slope. Let's answer the question with this first.

So AB is parallel to CD, meaning they must have the same slope. If AB's slope is -3, then so must CD's. That's the answer to the question.

Coming back to the parallel slope rule, why does this work? Well, if two lines are parallel, it means they never will touch each other, meaning they rise, fall, bend, curve, etc... at the same rate. The slope is the change in how much the line rises divided by the change in how much it runs (moves horizontally). That proves the rule.

Please consider a brainliest, thank you!

Answer:

42

Step-by-step explanation:

the half of 42 is 21 so if she mailed the half of it then she just have 21 cards

Answer:

$90 or $60

Step-by-step explanation:

Answer:

Number of chairs = 24

Number of stools = 12

As about the question number 2, I think you should check whether the question you copied is correct are not.

Step-by-step explanation:

1. One person,

Three hours for a chair and two hours for a stool

Therefore, 12 people working for 8 hours;

Per person produced two chairs and one stool as 3+3+2=8 hours

12×2= 24 chairs and 12×1=12 stools.

Answer:

They measure the area, volume, length, and width, in construction

10 - 15 = -5

Step-by-step explanation:

HOPE THIS HELPED

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's substitute the value of x as 8 in the given equation to find the value of y ~

Simplifying h(x) gives

h(x) = (x² - 3x - 4) / (x + 2)

h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)

h(x) = ((x + 2)² - 7x - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)

h(x) = (x + 2) - 7 - 22/(x + 2)

h(x) = x - 5 - 22/(x + 2)

An oblique asymptote of h(x) is a linear function p(x) = ax + b such that

[tex]\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0[/tex]

In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.

Answer:

Original number is 36

Step-by-step explanation:

Let,

Number be x

3x/4 + 3 = 30

3x + 12/4 = 30

3x + 12 = 30 × 4

3x + 12 = 120

3x = 120 - 12

3x = 108

x = 108/3

x = 36

Answer:

  3000 +219d

Step-by-step explanation:

The food booth rental revenue is ...

  11(100 +9d) = 1100 +99d

The game booth rental revenue is ...

  20(95 +6d) = 1900 +120d

Then the total revenue is ...

  (1100 +99d) +(1900 +120d) = 3000 +219d

Answer:

Hoped this helped.

[tex]BrainiacUser[/tex]

Answer:

25*1/5(or 0.2)=

5

she gives a way 5 toys

Hope This Helps!!!

The number of toys that she gives away will be 5.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Cynthia gave 1/5 of her toys to her little sister.

If she had 25 toys.

Then the number of toys that she gives away will be given by the product of 25 and 1/5.

⇒ 25 x 1 / 5

⇒ 5

The number of toys that she gives away will be 5.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

4+6i

Step-by-step explanation:

Distribute the 2 to the 3i

You get 6i, you can't add 4 to 6i because 4 is real and 6i is imaginary.

It's a complex imaginary number

Real

[tex]\\ \sf\longmapsto 4+3i^2[/tex]

[tex]\\ \sf\longmapsto 4+3(-1)[/tex]

[tex]\\ \sf\longmapsto 4-3[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Answer:

3780 m

Step-by-step explanation:

First, we find the perimeter of the scale drawing.

perimeter = 2(L + W)

perimeter = 2(10.1 cm + 8.8 cm)

perimeter = 2(18.9 cm)

perimeter = 37.8 cm

Now that we have the perimeter of the drawing, we use the scale to find the real perimeter.

1 cm (drawing) = 100 m (real)

37.8 cm × 100 m/cm = 3780 m

Answer: 3780 m

[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]

Answer:

Angle U is 65°.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

290

Step-by-step explanation:

145 withdrawal free + 145 in cash = 290.

Answer:

Area is 5 cm and perimeter is 12 cm

Step-by-step explanation:

Area: top left sqare:

1cm * 1cm = 1 cm

bottom rectangle:

1cm * 3 cm = 3 cm

top right square:

1cm * 1cm = 1 cm

Perimeter:

1 cm + 2 cm+ 3 cm+ 2 cm+ 1 cm + 1 cm + 1cm + 1cm  = 12 cm

[tex]\huge \bf༆ Answer ༄[/tex]

Total distance covered is equal to ~

Hence distance covered = 2200 m = 2.2 km

Answer:

True because you need to divide by -4 at one stage. Dividing by  a negative number will reverse the inequality.

Step-by-step explanation:

[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]

Answer:

C

A. X-intercept (6,0) and y-intercept (0,-8) wrong

B. x-intercept (-8,0) and y-intercept (0,6)wrong

C. x-intercept (4,0) and y-intercept (0,-3) correct

D. x-intercept (-3,0) and y-intercept (0,4) wrong