The sum of two natural numbers is 72 and the difference is 28. Let x
represent the greater number and y represent the smaller number. Find the
values of x and y.

Answer:

1.) slope = 2

2.) slope = [tex]-2\frac{2}{3}[/tex]

3.) slope = [tex]\frac{2}{3}[/tex]

4.) slope = [tex]\frac{1}{4}[/tex]

5.) slope = [tex]1\frac{8}{9}[/tex]

6.) slope = -2

7.) slope = -3

Step-by-step explanation:

In order to find the slope we have to divide they "y" value (the number of units by which the piece of antler goes up) by the "x" value the number of units by which the piece of antler goes to the side). Notice the if the antler moves to the left as it foes up then the "x" value is negative.

Now as I said before we know this......

Let "m" be the slope, then....

[tex]m = \frac{y}{x}[/tex]

So now we just have to plug in the y and x values for each antler and we will get the slopes for each one of them.

1.)

[tex]m = \frac{y}{x}[/tex]

[tex]m= \frac{4}{2}[/tex]

[tex]m = 2[/tex]

2.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{4}{-1.5}[/tex]

[tex]m = -2\frac{2}{3}[/tex]

3.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{2}{3}[/tex]

4.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{1}{4}[/tex]

5.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{8.5}{4.5}[/tex]

[tex]m = 1\frac{8}{9}[/tex]

6.)

[tex]m = \frac{y}{x}[/tex]

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

[tex]m= -2[/tex]

7.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{3}{-1}[/tex]

[tex]m = -3[/tex]

Answer:

Geometric sequence

.Step-by-step explanation:

Geometric sequences are defined by an initial value and a common ratio . If a sequence does not have a common ratio or a common difference, it is neither an arithmetic nor a geometric sequence. You should still try to figure out the pattern and come up with a formula that describes it.

Answer: Neither

Step-by-step explanation:

Answer:

The answer will be 40.397.

Step-by-step explanation:

Since the equation of your best fit line is y= 0.404x - 0.003 and they want you to calculate how high the line will be when x=100, plug in 100 in x which will be y= 0.404(100) - 0.003 and you'll get an answer of 40.397.

Answer:

40.397

Step-by-step explanation:

0.404(100)-0.003=40.397

Just plug in the X value for X in the equation and solve. it gives you your answer.

Hope this helps.

Answer:

each section will be .7 inches long

Step-by-step explanation:

8.4/ 12

Change Y to 0.

y=8x+21

0=8x+21

-8x=21

[tex]x=\frac{21}{-8\\}[/tex]

Answer:

[tex]f(-10)=186[/tex]

Step-by-step explanation:

We can use substitution to find the value of [tex]f(-10)[/tex].

[tex]f(x) = 2x^2+x-4[/tex]

[tex]f(-10) = 2(-10)^2-10-4[/tex]

[tex]=200-10-4[/tex]

[tex]=186[/tex]

∴ [tex]f(-10) =186[/tex]

Hope this helps :)

Answer:

The value of f(-10) is equal to 186.

Step-by-step explanation:

We are given the function:

[tex]f(x) = 2x^2 + x - 4[/tex]

We are told to find the value of:

[tex]f(-10)[/tex]

If we pay close attention, we can see a transition between:

[tex]f(x) \rightarrow f(-10)[/tex]

We have turned x into -10, making x = -10.

Therefore, we can change the value of x in the entire function to -10.

[tex]f(-10)=2(-10)^2+(-10) - 4\\\\f(-10) = 200 - 10 - 4\\\\f(-10) = 186[/tex]

Therefore, f(-10) = 186.

Answer: (-9,-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one.

Read the slope

-1/4

Step two

Put the slope in the general equation

y = mx + b

y = -1/4 x + b

Step 3

Put the point into the equation from step 2

(-8,5)

5 = -1/4  -8   + b

5 = 2 + b                   Subtract 2 from both sides

5-2 = b

b = 3

Step 4

Write the entire equation

y =   -1/4 x + 3

Answer:

8502

Step-by-step explanation:

45930+34729+835029=347230

Answer:

X = -5

Step-by-step explanation:

3x - 15 = -30       You want to isolate tha variable

3x= -30+15    Add 15 to -15 in order to get rid of it. All you do to one side you do to the other, so you add 15 to 30

3x= -15    

x= -15÷3   Divide x by 3 in order to get rid of the 3. Do it to the other side

x=-5  

Answer: 3 grams

Step-by-step explanation: Each distribution of food must be equal so divide food by amount of cats which is 3 to get 3

Mathmatically 9/3 = 3 grams

Answer: The break even point is when they have sold 16 books and have made $288

Step-by-step explanation:  The costs are modeled in the equation y = 12x + 96.  x is the number of books sold.

The earnings are modeled by he equation y = 18x.

Substitute 18x for y and solve for x.

18x = 12x + 96  Subtract 12x from both sides.

6x = 96 Divide both sides by 6

x = 16

Substitute into the original equations to solve  for y

y = 12(16) + 96

y = 192 + 96

Y = 288

y = 18(16)

y = 288

Answer:

C = 12n + 90

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Already done this

Answer:

50

Step-by-step explanation:

i just simplified the expression

Answer:

2/7

Step-by-step explanation:

Answer:

75% increase

Step-by-step explanation:

First we need to figure out how many new records she got this year...

7-4 = 3 new records.

Now, we need to know how many times 4 goes into 100%....

100 ÷ 4 = 25%

This tells us that a single record this year is a 25% increase.

Now, we multiply 25% by 3 to get 75% as our final answer

Hope this Helps!!! :)

Let me know if I should change anything or if the answer was perfect!

9514 1404 393

Answer:

  n = 5/3

Step-by-step explanation:

Eliminate fractions, add 4, divide by the coefficient of n.

  [tex]\dfrac{3}{5} n-\dfrac{4}{5}=\dfrac{1}{5}\\\\3n-4=1 \qquad\text{multiply by 5}\\\\3n=5 \qquad\text{add4}\\\\\boxed{n=\dfrac{5}{3}} \qquad\text{divide by 3}[/tex]

Answer:

The system is consistent; it has one solution ⇒ D

Step-by-step explanation:

A consistent system of equations has at least one solution

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

In the given system of equations

∵ -2y + 2x = 3 ⇒ (1)

∵ -5y + 5x = 12 ⇒ (2)

→ By comparing equations (1) and (2)

∵ -2 ≠ -5

∵ 2 ≠ 5

∵ 3 ≠ 12

→ By using the 3rd rule above

∴ The system is consistent independent and has exactly one solution

∴ The system is consistent; it has one solution

Answer:

y=-2x+6

Step-by-step explanation:

Answer:

7/10ths

Step-by-step explanation:

There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.

Answer:

The percentage is 70%.

Step-by-step explanation:

There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.

0.7 as a percentage is 70%.

So 70% of the block is shaded in.

Answer:

The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.

Wavelength of light = velocity of light / frequency of light

λ = v/f

λ = Wavelength of light, meters

v = Velocity of light (c = 3.0 x 108 m, for speed of light if not otherwise defined)

f = frequency of light, Hz

Step-by-step explanation:

Answer: 9x+1

Step-by-step explanation:

2x+7x=9x

Answer:

9x+1

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

This is because the Triangle is being rotated counter clockwise 90 degrees, then reflected over the Y axis.

So, point (-6, 8) would become (-8, -6), and so forth.

Answer:

b.

by relation

[tex] \binom{3x \: \: - 2y \: \: 12}{4x \: \: \: \: - y \: \: \: \: \: 9} \\ eliminate \: the \: unknowns \: (x \: and \: y) \\ \binom{3 \: \: - 2 \: \: 12}{4 \: \: \: \: - 1 \: \: \: \: \: 9} [/tex]

Answer:

Answer down below Branliest Please

Step-by-step explanation:

Answer:

10% interest

Step-by-step explanation:

150,606.59 - 78,170 = 72,436.59

72,436.59 / 9 = 8,048.51

8,048.51 / 78,170 = 0.1029... = 10%

Answer:

slope: (1 ,-3)

y-intercept: -1

y = -3/1 -1

Step-by-step explanation:

hope it helps!