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3 years ago

Integer Operation: Adding Integers 1) 85 + (-96) =

Mathematics

1 answer:

FromTheMoon [43]3 years ago

4 0

Anytime your adding a negative number, its the same as subtract a positive number.

85 + (-96) → 85 - 96

85 - 96 = -11

Best of Luck!

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Please assist on these problems

mylen [45]

Answer:

a) linear. Cost per minute is a constant.

b) f(x) = 40 -0.15x

d) f(100) = 25. The remaining value is $25 after using 100 minutes.

Step-by-step explanation:

a) Since the cost per minute is a constant, the remaining dollar value of the phone decreases by the same amount for each minute used. The cost as a function of minutes used is a linear function with a constant rate of change.

b) The value starts at $40 and decreases by $0.15 for each increment of x (minutes used). The function can be written as ...

f(x) = 40 -0.15x

d) Put 100 where x is in the function definition and do the arithmetic.

f(100) = 40 -0.15×100 = 40 -15

f(100) = 25

According to the variable and function definitions, x=100 means 100 minutes have been used; f(x) = 25 means the remaining value of the phone is 25 dollars.

f(100) = 25 means the phone's remaining value is $25 when 100 minutes have been used.

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3 years ago

90 POINTS: What is the slope of the line in the correct graph? What is the slope of the line in the incorrect graph? Are the slo

galben [10]

Answer:

Correct graph

$slope \frac{(175 - 105)}{(9 - 2)} \\ = \frac{70}{7} \\ = 10$

Incorrect graph

$slope = \frac{(175 - 105)}{(8 - 2)} \\ = \frac{70}{6} \\ = 11.7$

Slopes are not the same

5 0

3 years ago

Read 2 more answers

Which statements about the line that passes through (−2, 0) and (2, −4) are true? Select all that apply.

Gennadij [26K]

The statement about the line that passes through (-2, 0) and (2, -4) that are true are:

Option B:The line intersects the y-axis at (0, −2).

Option C: The equation of the line is y = −x − 2.

Option D: The line intersects the x-axis at (−2, 0).

Solution:

Given, two points are (-2, 0) and (2, -4)

We have to select the options that states true about line that passes through given two points.

Now, let us find the line equation that passes through given two points using point slope form.

$\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right) \text { where } \mathrm{m} \text { is slope and }\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { is a point on the line. }$

Now slope "m" is given as:

$\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{0-(-4)}{-2-2}=\frac{4}{-4}=-1$

Then, line equation = y – 0 = -1(x – (-2))

y = -1(x + 2)

y = -x – 2 --- equation 1

Now let us check options.

Option a) slope of line is 1

We know that slope of our line is -1 so this option is wrong.

Option b) line intersects y – axis at (0, -2)

When line meets y – axis x becomes 0 ⇒ 0 + y + 2 = 0 ⇒ y = -2 so point is (0, -2).

This option is right.

Option c) equation of line is y = -x – 2

The given equation is x + y + 2 = 0 ⇒ y = -x – 2 . so this option is correct.

Option d) line intersects at (-2, 0)

When line meets x – axis y becomes 0 ⇒ x + 0 + 2 = 0 ⇒ x = -2. So point is (-2, 0).

This option is right.

Hence, options b, c, d are correct.

8 0

4 years ago

Is the number in the following statement an exact quantity or a measured quantity?You are told that a car gets 35 miles per gall

xeze [42]

The problem states that a certain car travels 35 miles per gallon of fuel. This statement has a certain level of uncertainty, because the fuel consumption varies with how the car is manuvered, therefore the correct answer is measured quantity.

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2 years ago

How do you solve 2x-5=11?

Slav-nsk [51]

2x-5=11
2x-5+5=11+5
2x=16
x=16/2
x=8

6 0

3 years ago