How can you use addition rules to solve subtraction problems with integers?​

Answer:

Step-by-step explanation:

Translation right (or left) means change of the x-coordinate.

Translation down (or up) means change of the y-coordinate.

(5, -4)   →    (5+3, -4-1) = (8, -5)

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Finding the slope of f(x)

Given the table of the function f(x)

x        f(x)

-1        -5

0        -1

1          3

Finding the slope using the formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]

[tex]m=4[/tex]

Thus, the slope of the function f(x) = 4

Finding the slope of g(x)

We know the slope-intercept form of a linear function is

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

where m is the slope and b is the y-intercept

Given the function

[tex]g(x) = 2x-7[/tex]

comparing with the slope-intercept form

y = mx+b

The slope of the function g(x) = 2

Thus, we conclude that:

Hence, the slope of f(x) is greater.

Part b)

Finding the y-intercept form of f(x)

We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.

From the table,

It is clear at x = 0, y = -1

Hence, the y-intercept of the function f(x) = -1

Finding the y-intercept form of g(x)

Given the function

[tex]g(x) = 2x - 7[/tex]

comparing with the slope-intercept form (y = mx+b)

[tex]y = mx+b[/tex]    

where b is the y-intercept

Hence, the y-intercept of g(x) = b = -7

Thus, we conclude that:

Hence, the y-intercept of f(x) is greater.

Answer:

Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.

The length of QR is 4x -11 and the length of MP is 9x - 29.

We need to determine the measure of MP.

Value of x:

The value of x can be determined using the triangle midsegment theore

Applying the theorem, we have;

Substituting the lengths, we get;

Subtracting both sides by 8x, we have;

Adding both sides of the equation by 29, we get;Thus, the value of x is 7.

Measure of MP:

The measure of MP can be determined by substituting x = 7 in the length of MP.

Thus, we have;

Thus, the measure of MP is 34.

Answer: 2 cups of water to 8 cups of flour

Step-by-step explanation:

Answer:

2 cups of water to 8 cups of flour

Step-by-step explanation:

Answer:

69.333 or 208/3

Answer:

y = negative 1 over 2x + 11

Step-by-step explanation:

I know this because I had the same test as you and that is what I put and I got it right.

Answer: c=(220)^1/2

^1/2 is the square root

Step-by-step explanation:

c^2=a^2+b^2

c^2=14^2+(24^1/2)^2

c^2=196 +24

c^2=220

c=(220)^1/2

Answer:

5000

Step-by-step explanation:

50000 / 10= 5000

Cost of the furniture of 50000 rupees with 10% discount is 45000 rupees

A deduction from the usual cost of something

Here Cost of the furniture = 50000 rupees

Discount = 10%

Then the discount price is = total cost × 10%

[tex]50000(\frac{10}{100})=5000[/tex] rupees

Then the purchased amount = Total price - Discount

[tex]50000-5000=45000[/tex] rupees

Hence, the purchased price is 45000 rupees

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Answer: $22.05

Step-by-step explanation:  

We know,

1 gallon = $1.47

Then,

15 gallons = $1.47 * 15 = $22.05

Answer:

1 gallon gas = 1.47

15 gallon gas = 15×1.47

=22.05

Answer:

a) 44[tex]\sqrt{3}[/tex]/3 feet

b) .3 minutes

Step-by-step explanation:

We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by

for b), simply divide a) by 75 ft/min, which is approximately  .3 minutes.

Answer:

$460.

Step-by-step explanation:

[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]

So the price yesterday was $460

Answer:

- 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = - 3x + 9 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + 4 ← is the equation of a parallel line

Answer:

3(1−10x)43(1-10x)4

Step-by-step explanation:

34−4x+12x−212x34-4x+12x-212x

Simplify each term.

Combine 1212 and xx.

34−4x+x2−212x34-4x+x2-212x

Multiply the numerator by the reciprocal of the denominator.

34−4x+x2−(2(2x))34-4x+x2-(2(2x))

Multiply 22 by 22.

34−4x+x2−(4x)34-4x+x2-(4x)

Multiply 44 by −1-1.

34−4x+x2−4x34-4x+x2-4x

Find the common denominator.

Write −4x-4x as a fraction with denominator 11.

34+−4x1+x2−4x34+-4x1+x2-4x

Multiply −4x1-4x1 by 4444.

34+−4x1⋅44+x2−4x34+-4x1⋅44+x2-4x

Multiply −4x1-4x1 and 4444.

34+

Answer:

-3x + ¼

Step-by-step explanation:

Follow Me Please ...

Answer:

Step-by-step explanation:

J and K are equal

8x - 23 = 6x + 11            Add 23 to both sides

8x = 6x + 11 + 23           Combine the right

8x = 6x + 34                  Subtract 6x from both sides

8x - 6x = 34                   Combine the left

2x = 34                           Divide by 2

x = 34/2

x = 17

=================================

M and L are both supplementary to J and K respectively.

J = 8x - 23

J = 8*17 - 23

J = 136-23

J = 113

K = 113

===================================

M + 113 = 180

M = 180 - 113

M = 67

L = 67

Answer:

f(-3) = 41

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -12x + 5

f(-3) is x = -3

Step 2: Evaluate

Answer:

f(-3) = 41

Step-by-step explanation:

f(-3) = -12(-3) + 5

f(-3) = 36 + 5      A negative times a negative always equals a positive.

f(-3) = 41

Please give brainliest

The 10th term of this arithmetic sequence 100,110,120,130...​ is 190.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, An arithmetic sequence 100,110,120,130...​

First term a₁ = 100, Common difference(d) = 130 - 120 = 120 - 110 = 10.

We know nth term of an arithmetic sequence is aₙ = a₁ + (n - 1)×d.

aₙ = 100 + (n - 1).10.

aₙ= 100 + 10n - 10.

aₙ = 10n + 90

So, the 10th term a₁₀ = 100 + (10 - 1).10 = 100 + 90 = 190.

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Answer:

17.5

Step-by-step explanation:

Answer:

17.5 is your answer

Step-by-step explanation:

140/8

17.5

Hope this helps?

Answer:

x-intercept means the advertising expense when the company's profit was zero dollars ⇒ D

Step-by-step explanation:

Let us solve the question

∵ P = -250x³ + 1,505x² - 300, for 0 < x < 6

∵ P is the profit in tens of thousands of dollars

∵ x is the advertising expense in tens of thousands of dollars  

∴ x is the independent variable

∴ P is the dependent variable

→ x-intercept means value x when P is 0

∵ The x-intercept is the value x at P = 0

∴ x-intercept means the advertising expense when the company's

   profit was zero dollars

Answer:

y=4x+11

Step-by-step explanation:

Answer:

y=4x+11

Step-by-step explanation:

y - 3 = 4(x + 2)

=

y - 3 =4x + 8

=

y - 3 (+3) = 4x + 8 (+3)

=

y=4x+11

Answer:

A

Step-by-step explanation:

y = -3x + 150

I hope this is right.

Answer:

Y e s

Step-by-step explanation:

N o ?

I d r k

Answer:

Whenever they are played in a commercial or a movie

Step-by-step explanation: oyriuqewyfuqasyerdb8o7iu

Answer:

1: Patriotic

2: Global

3: Graphic

4:heroic

5: betrayel

6:angelic

7: dramatic

8: bacterial

Step-by-step explanation:

I think this is it

Answer:

8 - i

General Formulas and Concepts:

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

(3 - 4i) + (5 + 3i)

Step 2: Simplify

Answer:

she have 23.75 left

Step-by-step explanation:

Answer:

Step-by-step explanation:

32.5$ multiplied by 3 =97.5%

she received 65.78. add those together and you get 163.28$

subtract 8.75 twice and you get 145.8$

Answer:

39

Step-by-step explanation:

Alll the sides equal each other because of that curve u see at each angle, that curve means that the angles are the same, having the same angles means same sides, so just pick two equations to do this:

21 - x = 2x -3

add 3 to both sides

24 - x = 2x

add x to both sides

24 = 3x

divide by 3

8 = x

Now input 7 into the equations:

21 - x = 21 - 8 = 13

2(8) - 3 = 16 - 3 = 13

x + 5 = 8 + 5 = 13

Now add: 13 + 13 + 13 = 26 + 13 = 39

Another way for u to save time is remember how i said all the sides were the same? you could just solve one equation, so it'll be 13 and multiply that with 3 to get the perimeter since ur adding 13 three times anyway

So just a simple: 13(3) = 39

Answer:

D) 18!

Step-by-step explanation:

HAHAHAHAHH BESTIEE

Answer:

True

Step-by-step explanation:

The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).

Answer:

It is (0,6)

Step-by-step explanation:

Find the x intercept, substitute 0 for y and slove for x

find the y intercept, substitue 0 for x and solve for y

the answer is c (0,6)

20₁₀ = 16₁₀ + 4₁₀

and in base 10, 2⁴ = 16 and 2² = 4. So

20₁₀ = 10100₂

In other words,

10100₂ = 1 • 2⁴ + 0 • 2³ + 1 • 2² + 0 • 2¹ + 0 • 2⁰

Answer: #66.92

Step-by-step explanation:

Since the cooperative pays pay #0.07 per solar-powered kWh (kilowatt-hour), the amount that the school would make when it sells back 956 kWh to the cooperative would be calculated as:

= #0.07 × 956 kWh

= #66.92