Hi, I was absent today in class and I really need help with question 15, I will be much appreciated if you show work and the step so I can be more understanding thank you!

Using the addition rule with different signs, we know that the resultant answer will have the same sign.

A general example to help you recognize patterns:

Adding Integers:

Subtracting Integers:

Therefore, using the addition rule with different signs, we know that the resultant answer will have the same sign.

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When a particle is at rest, the velocity = 0. Therefore, we equate the v(t) term to zero (0)

To determine which one is the graph of the equation:

We can finc the x-intercepts of the equations, we know that this happens when y=0, then we have:

Solving for x we have:

This means that the the graph have to cross the x axis in the values x=0 and x=4.

Looking at the options we notice that the only graph that do this is option B, therefore the gaprh of the equation is shown on B.

Answer: she does an average of -0.07

Step-by-step explanation:

add the all up which equals -0.35 divide that by how many there are which equals -0.07

James used a scale factor of 4 to draw a scale representation of Triangle J and named it. Triangle K’s surface area is 10.

Every triangle has three corners and three sides (angles). The vertex of a triangle is the intersection of two sides.

Any one of a triangle’s three sides might serve as its foundation, although most frequently it is the bottom side.

Below, Triangle J is depicted. James used a scale factor of 4 to create a scale version of Triangle J that he dubbed Triangle K.

Area= 1/2 bh

=(1/2)*4*5

In such a case, K’s triangle’s area is 10.

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Note: The question is incomplete in the portal. Here is the total question,

Question: Triangle J is shown below. James drew a scaled version of Triangle J using a scale factor of  and labeled it Triangle K. What is the area of Triangle

we have the equation

Solve for t

That means

Isolate the variable t

ofGiven the yearly interest rate as 8.5%

To find the daily interest, we will divide the yearly interest rate by 365 as shown below:

Hence, the daily interest rate (to the nearest millionths place)= 0.000232, The third option

The value of x from the equation represented by the given bar diagram is 20.

The equation is represented using the bar diagram and from the bar diagram be can observe that the equation will be the following equation mentioned below:

3.5 x + 12.5 x = 320                                        equation 1

The bar diagram represents 3.5 x + 12.5 x = 320  equation. Now we will simplify this equation and will find the value of x from this equation. The steps that need to be followed to simplify this equation are shown below;

3.5 x + 12.5 x = 320

16 x = 320

Divide both sides of equation by 16 , we will get

x = 320/16

x = 20

The value of x from the equation 3.5 x + 12.5 x = 320 is 20.

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Answer:

5.0 km.

Step-by-step explanation:

Answer: 4.25 Km

Step-by-step explanation:

First you're going to consider the first number given as the main one to start with. (1.5 km)

The question told you that the hiker first went north so you can consider north positive, then he walked back south 0.45 km.

So far your calculation should be 1.5 - 0.45 = 1.05

Then the hiker walks again north with a distance of 3.2 km

so now add that to your value (1.05) as 1.5 and 3.2 are going to the same direction and 0.45 is only opposing them

Final calculation: 1.05 + 3.2 = 4.25 (1.5 - 0.45 + 3.2)

Another way of explaination if you didn't get this one:

The two values 1.5 and 3.2 are mentioned to be in the same direction (north), while 0.45 is mentioned to be opposing them going south, so you can either consider it as
(+)1.5 + 3.2 - 0.45  (But this one would make more sense)

        Or

- 1.5 - 3.2 + 0.45

Hope you understood and good luck with your studies :D

Combination is a way of selecting items from a collection where the order of selection does not matter.

The number of 4-letter code words that can be made using the letters in the word pencil is 15.

Combination is a way of selecting items from a collection where the order of selection does not matter.

We have,

Total number of letters in the word pencil = 6

i,e P E N C I L

Combination formula:

[tex]^nC_r[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex]

Here,

n = 6

r = 4

The number of 4-letter code words that can be made using the letters in the word pencil:

[tex]^6C_4[/tex] = 6! / 4! 2! = (6 x 5) / 2= 15

Thus,

The number of 4-letter code words that can be made using the letters in the word pencil is 15.

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Answer:

B⁸

Step-by-step explanation:

When you have the same base, which in this case is B, you add the exponents and you get 8.

Hope this helps!

P.S, could I get Brainliest? Thanks!

When a line is steeper than other one it means it has a greater slope. In this case the slope represents the speed of Melinda and Paul. As shown in the picture, the line that represents Paul's movement has a greater slope than the one that represents Melinda's, it means Paul ran at a faster constant speed than Melinda.

If Melinda ran at a constant velocity of 5mph and Paul ran faster than her, an equation that could represent the relationship between Paul's distance an his time has to have a greater slope than 5, which is 7.

Given a right angle triangle

The hypotenuse of the triangle = x

The adjacent side to the angle 50 = 6

We will find x using the cosine function as follows:

Rounding to the nearest tenth

So, the answer will be x = 9.3

To convert the degree to radian use this rule

Substitute x by 489 and pi by 22/7

The answer is 8.53 radians the 3rd choice

The value of the composite function (fog)(2) is equivalent to 0

A mathematical procedure called "function composition" combines two functions, f and g, to produce a third function, h, where g is the sum of f and

Given the functions below;

f(x) = x^2-3x+5

g(x) = -2x

Determine the composite function (gof)(2)

(fog) = f(g(x))

f(g(x)) = g(x^2-3x+5)

f(g(x)) = -2(x^2-3x+5)

f(g(2)) = -2(2^2-3(2)+2)

f(g(2)) = -2(0) = 0

This gives the equivalent composite value

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Tommie will earn $12.65 per hour after his 10% raise after 4 weeks.

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

Given is tommie who earns $11.50 per hour and he will get a 10% raise after working 4 weeks.

The amount tommy will earn after 10% raise can be calculated as follows-

10% of 11.50

10/100 x 11.5

1.15

Earnings per hour after raise = 11.5 + 1.15 = $12.65

Therefore, tommie will earn $12.65 per hour after his 10% raise after 4 weeks.

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Let G be the cost os monthly game subscriptions, P the cost of a wekly phone bill, D = $30 the cost of a package of 42 diapers, F the cost of pizza on fridays and W the amount she receives each workday.

Then, for a initial amount I = $100, the money M she still have after the events in the text is given by:

If F + G = $65 and P = $150, we have:

If we are considering only how much she payed for the diapers and the phone bill, we have:

Answer:

The answer is $1,169.35

Step-by-step explanation:

Deposits is when you put money into your account, so, you'll add what he deposits. which will be $2,242.4, Next when he writes a check it means he took money out of his account so you'll subtract. You'll add up the amount of checks he wrote and subtract your answer with the deposits so, $2,243.4, - $1,074.05 = 1,169.35 and thats how you get your answer.

The equation of f(x) is

The graph of g(x) is shifted 3 units to the left. This is a horizontal translation.

For horizontal translation, we follow the following rule >>>

Let parent function be f(x), then

• f(x+a) is the parent translated "a" units left

• f(x-a) is the parent translated "a" units right

Thus, following the rule, we can clearly say that g(x) = f(x+3)

We can write >>

Answer: True

Step-by-step explanation:

I believe it's true since a quadratic equation can either have one real solution, two real solutions, or no real solutions. Hope this helps.

let the consecutive odd integers be

x, x+ 1, x+ 2, x + 3, x + 4

Average = sum / total number

Average = -45

Total number = 5

-45 = x + x + 1 + x + 2 + x + 3 + x + 4 / 5

Introduce cross multiplication

-45 x 5 = x + x + 1 + x + 2 + x + 3 + x + 4

-225 = x + x + x + x + x + 1 + 3 + 4 + 5

-225 = 5x + 16

y equals negative two thirds times x minus 2 is the equation of graph.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

The given two points are 3 comma 0 and 0 comma negative 2.

i.e (3,0)(0,-2)1)

The formula for slope is (y₂-y₁)/(x₂-x₁)

slope = (-2 - 0) / (0 - 3)

= -2 / -3

The negative negative are multiplied we get positive

= 2/3

The standard form of a line is y = mx + b, where m is slope of line and b is y intercept.

slope(m) = 2/3

We can use either of points (0,-2)...x = 0 and y = -2

now sub and find b, then y intercept

-2 = 2/3(0) + b

-2 = b

so  equation is : y = 2/3x - 2

Hence y equals negative two thirds times x minus 2 is the equation of graph.

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Answer:

6 i think

Step-by-step explanation:

if you count the top and bottom one, thats 2, the two sides, and the front and back. add 2+2+2 which is 6.

Options E and F are the correct options

Here, we need to get the equation of the line that passes through the two points given

Mathematically, the equation of a line can be generally expressed as ;

y = mx + c

where m is the slope of the line and c is the y-intercept of the lien ( where it crosses the y-axis)

To get the slope m , we are goint to use the formula below;

Substituting these values into the slope equation , we have

m = (-1-(6))/(-1-(-5)) = -7/4

The equation is now in the form;

y = -7x/4 + c

what is left is to get the y-intercept

We can get the value of the y-intercept by substituting for x and y using any of the points

Let us use the second point

Here, x = -1 and y = -1

Thus;

-1 = -7(-1)/4 + c

-1 = 7/4 + c

c = -1-7/4 = -11/4

So the complete equation of the line is;

y = -7x/4 - 11/4

To properly answer the questions, we need the forms in the options that looks like or can be manipulated arithmetically to look like what we have as our answer

We proceed with each of the options one after the other to see if they can be written in the form of our answer

Option A

y - 5 = -7/4 ( x + 6)

Opening the bracket and evaluating;

y - 5 = -7x/4 - 42/4

y = -7x/4 -42/4 + 5

y = -7x/4 -22/4

we can see this is not a correct option

Option B

y - 6 = -4/7 (x + 5)

Multiply through by 7

7y - 42 = -4x - 20

7y = -4x - 20 + 42

7y = -4x + 22

divide through by 7

y = -4x/7 + 22/7

We can see this is incorrect also

Option C

y - 1 = -4/7(x-1)

Multiply through by 7

7y - 7 = -4x + 4

7y = -4x + 4 + 7

7y = -4x + 11

divide through by 7

y = -4x/7 + 11/7

This is incorrect too

Option D

y + 1 = -4/7 ( x + 1)

Multiply through by 7

7y + 7 = -4x - 4

7y = -4x -4 -7

7y = -4x - 11

y = -4x/7 - 11/7

This is incorrect also

Option E

y - 6 = -7/4 (x + 5)

Multiply through by 4

4y - 24 = -7x - 35

4y = -7x - 35 + 24

4y = -7x -11

y = -7x/4 - 11/4

This is a correct option

Option F

y + 1 = -7/4 ( x + 1)

Multiply through by 4

4y + 4 = -7x - 7

4y = -7x - 7-4

4y = -7x - 11

y = -7x/4 - 11/4

This is a correct option too

The angles in the parallelogram is as follows:

A parallelogram is a quadrilateral with opposite sides equal to each other and opposite side parallel to each other.

The diagonal of a parallelogram bisect each other.

Therefore, the angles a, b and c in the parallelogram can be found as follows:

180 - 118  - 35 = a (sum of angles in a triangle)

180 - 153 = a

a = 27 degrees.

Therefore, let's find angle b.

62 + 63 + b = 180 (sum of angles in a triangle)

125 + b = 180

180 - 125 = b

b = 55 degrees

Let's find the angle c

Hence,

b = c (alternate angles)

Therefore,

c = 55 degrees.

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y-interceptis As given by the question

There are given that the value of x and y.

Now,

For finding the value of the slope, choose two-point from the given table

So,

Suppose the two points are:

Now,

From the formula of slope:

Where,

Put all the above value into the given formula

So,

Hence, the value of the slope is -1.

Now,

For the equation of the line that is based on the given chart, use two supposes point and the given slope.

So,

The two poin and slope is:

Then,

From the formula of two point form;

Where,

Then,

Put all the given value into the above formula

So,

Hence, the equation of the line is:

Now,

To find the y-intercept, put x=0 and solve for x

So,

The y intercept of the given equation is:

Hence, the y-intercept is (0, 6)