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3 years ago

The sum of a negative number, q, and a positive integer, n, is negative. What do you know about q and n?

1 answer:

3 0

| q | > n

1. q + n < 0
2. q + n - n < 0 - n
3. q < -n, where q is negative, and n is positive. Therefore, | q | > n.

Well, think about it. If q + n is less than zero (negative), what kind of relationship can you assume about q and n?

You might be interested in

Question is in picture below

klasskru [66]

Answer:

$\frac{y - 18}{x - 1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 \\ y - 18 = 10(x - 1) = 10x - 10 \\ y = 10x + 18 - 10 = 10x + 8 \\ \boxed{f(x) = 10x + 8}$

<h2>A. is the right answer.</h2>

hope this helps.

5 0

2 years ago

3. An ice cream shop sells ice cream cones with exactly

BigorU [14]

Answer:This can be solved using the strategy used in this post:

It comes down to calculating

(5+3−13)=(73)=7⋅6⋅51⋅2⋅3=35

What we are doing is the following: We create 5 'buckets' of flavors:

−−−|−−−|−−−|−−−|−−−

Now, we want do divide the three scoops over the 5 buckets. Below, a scoop is shown as O. Some possibilities are:

O|O|||O||OOO||etc...

There are 4 borders between the buckets and 3 scoops. Thus, there are (4+33)=35 possibilities

Step-by-step explanation:

7 0

3 years ago

Pleases answer the below paper attached as I could not find the answers

Thepotemich [5.8K]

Algebraic expressions are expressions that use variables and combination of terms.

<h3>How to determine the equivalent expressions</h3>

1. Addition

The addition expression is:

$5x^2 - \frac 13x + \frac 52 - \frac 12x^2 + \frac 12x - \frac 13 -2x^2 + \frac 15x - \frac 16$

Collect like terms

$5x^2 - \frac 12x^2 -2x^2 - \frac 13x + \frac 12x + \frac 15x + \frac 52 - \frac 13 - \frac 16$

Evaluate the like terms

$\frac 52x^2 + \frac{11}{30}x + 2$

2. Subtraction

The subtraction expression is:

$7x^2 -2x + 10 - (-2x^2 + \frac 12x - 3)$

Open the bracket

$7x^2 -2x + 10 + 2x^2 - \frac 12x +3$

Collect like terms

$7x^2 + 2x^2 -2x - \frac 12x+ 10 +3$

Evaluate the like terms

$9x^2- \frac 52x+ 13$

3. Simplify

The expression is given as:

$(\frac 13x^2 - \frac 47x + 11) - (\frac 17x - 3 -2x^2) - (\frac 27x - \frac 23x^2 + 2)$

Rewrite as:

$(\frac 13x^2 - \frac 47x + 11) - ( -2x^2 + \frac 17x - 3) - (- \frac 23x^2 + \frac 27x + 2)$

Open the brackets

$\frac 13x^2 - \frac 47x + 11 + 2x^2 - \frac 17x + 3+ \frac 23x^2 - \frac 27x - 2$

Collect like terms

$\frac 13x^2 + 2x^2 + \frac 23x^2 - \frac 47x - \frac 17x - \frac 27x + 11 + 3 - 2$

Evaluate the like terms

$3x^2 - x + 12$

4. Products

The expression is given as:

$(x-\frac 1x)(x + \frac 1x)(x^2 + \frac 1{x^2})(x^4 + \frac 1{x^4})$

Apply the difference of two squares

$(x^2-\frac 1{x^2})(x^2 + \frac 1{x^2})(x^4 + \frac 1{x^4})$

Apply the difference of two squares

$(x^4-\frac 1{x^4})(x^4 + \frac 1{x^4})$

Apply the difference of two squares

$x^8 - \frac 1{x^8}$

5. Formula

The expression is given as:

$(\frac 32m + \frac 23n)(\frac 32m - \frac 23n)$

Apply the difference of two squares

$\frac 94m^2 - \frac 49n^2$

6. Identity

The expression is given as:

$(m + 3)(m + 2)$

The identity used to solve the above expression is:

$(x + a)(x + b)$

7. Identity

The expression is given as:

$(4x + y)^2$

Expand

$16x^2 + 8xy + y^2$

Rewrite as:

$16x^2+ y^2 + 8xy$

8. Difference of two squares

The expression is given as:

$(a + b)(a - b)$

Apply the difference of two squares

$a^2 - b^2$

9. Evaluate

The expression is given as:

$a^2 + b^2$

Apply the sum of two squares

$(a + b)^2 - 2ab$

So, we have:

$5^2 - 2 * 6$

Evaluate

$13$

10. Coefficient

The expression is given as:

$\frac x2 +\frac y2 - xy$

The coefficient of xy in the expression is -1

Read more about algebraic expressions at:

brainly.com/question/4344214

4 0

2 years ago

Ben earns $9 per hour for each delivery he makes. He wants to make more than $155 in 8 hours .What is the least number of delive

Pavlova-9 [17]

Question is Incomplete,Complete question is given Below.

Ben earns $9 per hour and $6 for each delivery he makes. he wants to earn more than $155 in an 8-hour workday. what is the least number of deliveries he must make to reach his goal?

Answer:

Ben must make at least 14 Deliveries to achieve his goal.

Step-by-step explanation:

Hourly Rate = $9 per hour

Cost of each Delivery = $6

Number of hours to be worked = 8 hours.

Money needs to be earned =$155

we need to find the number of deliveries he must make to reach his goal.

Solution :

Let number of deliveries be 'x'.

Now we can say that Hourly rate multiplied by number of hours of work plus Cost of each delivery multiplied by number of deliveries should be greater than or equal to Money needs to be earned.

Framing in equation form we get;

$9\times8+6x\geq 155$

Solving the equation we get;

$72+6x\geq 155$

Subtracting both side by 72 using Subtraction property of Inequality we get;

$72+6x-72\geq 155-72\\\\6x\geq 83$

Now Dividing both side by 6 using Division Property we get;

$\frac{6x}{6} \geq \frac{83}{6} \\\\x\geq 13.83$

Hence Ben must make at least 14 Deliveries to achieve his goal.

6 0

3 years ago

20% of the time Tucker eats out twice a month, 30% of the time he eats out once a month, and 50% of the time he doesn't eat out

AysviL [449]

Answer:

0.7

Step-by-step explanation:

Given that :

20% of the time Tucker eats out twice a month, 30% of the time he eats out once a month, and 50% of the time he doesn't eat out at all in a given month.

THIS CAN be expressed in terms of probability distribution thus :

X : _____ 2 _____ 1 _______0

P(X) : __ 0.2 ____ 0.3 ____ 0.5

Hence, expected value for the number of times Tucker eats out during a month

E(x) = Σ(X)*p(x)

E(x) = (2 * 0.2) + (1 * 0.3) + (0 * 0.5)

E(x) = 0.4 + 0.3 + 0

E(x) = 0.7

4 0

3 years ago