Given the linear equation y = -3x
identify the initial value and rate of change
Hurry timed test!!

Answer:

1-2

Step-by-step explanation:

honestly idek what this stuff is I just need points

Recall that for two vector x and y making an angle θ with each,

x • y = ||x|| ||y|| cos(θ)

If we replace y with x, we see that

x • x = ||x|| ||x|| cos(0) = ||x||²   ⇒   ||x|| = √(x • x)

Using the last identity, the magnitude of w is

||w|| = √(w • w)

but since w = u + v, we have

w • w = (u + v) • (u + v)

The dot product distributes over sums and is commutative, so

w • w = (u • u) + (u • v) + (v • u) + (v • v)

… = ||u||² + 2 (u • v) + ||v||²

… = ||u||² + 2 ||u|| ||v|| cos(θ) + ||v||²

If u has a direction of 45° with the positive x-axis, v has a direction of 150°, then the angle between u and v is |45° - 150°| = 105°. So,

||w|| = √(||u||² + 2 ||u|| ||v|| cos(150°) + ||v||²)

… = √(10² + 2 • 10 • 13 cos(150°) + 13²)

… ≈ 14.2

Using the parallelogram rule for vector addition (see attached sketch), the sum of the angle between w and u and 45° is equal to the direction of w.

If φ is the angle between w and u, then

w • u = ||w|| ||u|| cos(φ)

… = 14.2 • 10 • cos(φ)

but we also have

w • u = (u + v) • u

… = (u • u) + (v • u)

… = ||u||² + ||u|| ||v|| cos(105°)

… = 10² + 10 • 13 • cos(105°)

… ≈ 66.4

Then

14.2 • 10 • cos(φ) ≈ 66.4

cos(φ) ≈ 0.467

φ ≈ 62.1°

and so the direction of w is 62.1° + 45° ≈ 107.1°.

Answer: 3050.8877551

Step-by-step explanation:

Answer:12 accorns

Step-by-step explanation:

If they each hid the same number of acorns, although the squirrel needed 4 fewer holes, the chipmunk hid 3 acorns in each hole

Let's assume the number of holes the chipmunk dug is 'c', and the number of acorns it hid in each hole is 'x'. Similarly, let's assume the number of holes the squirrel dug is 's', and the number of acorns it hid in each hole is 'y'.

According to the information provided, the chipmunk hid 3 acorns in each of the holes it dug, so x = 3. The squirrel hid 4 acorns in each of the holes it dug, so y = 4.

Both the chipmunk and squirrel hid the same number of acorns, so cx = sy.

Also, the squirrel needed 4 fewer holes, so s = c - 4.

Now, we can use the information to set up a system of equations:

cx = sy

c - 4 = s

Substitute the value of s from the second equation into the first equation:

c(c - 4) = 3(c - 4)

Expand the equation:

c² - 4c = 3c - 12

Now, bring all terms to one side of the equation:

c² - 4c - 3c + 12 = 0

Combine like terms:

c² - 7c + 12 = 0

Now, factor the quadratic equation:

(c - 3)(c - 4) = 0

Now, set each factor to zero and solve for 'c':

c - 3 = 0 => c = 3

c - 4 = 0 => c = 4

Since the chipmunk hid 3 acorns in each hole, the correct answer is The chipmunk hid 3 acorns.

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Compound inequalities are used to combine several inequalities

The solution as a compound inequality is [tex]374<x <404[/tex]

Assume the correct amount of jelly beans in the jar is x.

15 away from x can be represented as 15 - x or x - 15

The correct number of jelly beans is given as 389.

So, when the statement is represented as an absolute inequality, we have:

[tex]|x - 15| < 389[/tex]

Express as compound inequality:

[tex]389 - 15<x <389 + 15[/tex]

Evaluate like terms

[tex]374<x <404[/tex]

Hence, the solution as a compound inequality is [tex]374<x <404[/tex]

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Answer:

43 messages

Step-by-step explanation:

Given:

146 messages = $21.90

x messages = $6.45

Finding x by cross-multiplication:

x = 146*6.45/21.90 = 43

Hope this helps! :)

Answer:

B

Step-by-step explanation:

because it is actually move to right

Answer:

y= -3(x+1)(x+3)

Step-by-step explanation:

the lowest coordinate of it is -3 and the x-coordinates are 1 and 3

Answer:

10.

Step-by-step explanation:

X is often associated with the value of "independent variable"

y=20-2(5)

y=20-10

y=10

Answer:

20

Step-by-step explanation:

5 x 4 = 20

Answer: 20 slices of pizza

Step-by-step explanation:

you multiply 5 times 4

Answer:

x =-27

Step-by-step explanation:

X/3= -9

or,X=-9×3(cross multiplication)

or, X=-27

Answer: D

Step-by-step explanation:

this is in y=Mx+ b form. M stands for the slope and b stands for the y intercept, or where the line intersects with the y-axis.

Going left to right, the line slopes downwards, therefore it is a negative Slope. This narrows down your answer to either a or d. the slope is -1 because you can only ever write x by itself if it means 1x. In this case it is negative so it would look like this: -x

for the y-intercept, simply look at where the line passes through the y-axis. In this case, it is positive 2.

your finished equation would be: y=-x+2

i hope this is helpful

Each consecutive element of the series has one less blue points than the before element, with that, we conclude that the correct option is D, where there is only one blue point.

Here we can see a series of 3 elements.

the first element is a circle with 4 blue points on its circumference, such that the points are connected to form a rectangle.

The next element is a circle with 3 blue points on it, such that when the points are connected a triangle is formed.

The third element is a circle, this time with 2 points, and the connection forms a segment.

So what we can see is that in each consecutive element the number of blue points on the circumference of the circles decreases by one, so the logical conclusion is that the next element will have only one point on its perimeter, then the correct option is D, where we can see only one blue point on the perimeter of the circle.

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Answer:

1230

Step-by-step explanation:

[tex]\frac{\pi }{3}[/tex] x 49 x 24 = 1230 cm^3

Answer:

f(x)=2(x+7/4)^2-49/8

Step-by-step explanation:

Answer:

whats the question, tell me it and i'll help you

Step-by-step explanation:

Answer:

(8,-9)

Step-by-step explanation:

using the principle of vectors, you match each number to their coordinates and add them

so we have (7+1,-12+3)

which is equal to (8,-9)

Answer:

5/2

Step-by-step explanation:

Formula: y2-y1/x2-x1

Labeled:

(1,3)

1 = x2

3 = y2

(7,-12)

7= x1

-12 = x1

In order:

3+12 / 1-7

=15/6

which is simplified to 5/2

so when trying to find the slope of two points you want to use a certent formula which is y2 minus y1 over x2 minus x1 and if the x1 or y1 is negative it will be plus.

first you need to label them and then put them in the order you labeled them to the formula. After subtract or add and if you can simplify it then simplified it to get your answer.

this is the best way I can explain it, sorry

:(

Answer: C

Step-by-step explanation:

Answer:

The Answer Is B

Step-by-step explanation:

Answer:

the second and the fourth have a range of real no

Answer: y

Step-by-step explanation:

Slope intercept form is written as

Y=mx+b, so you’d solve for the variable y

Answer:

0.2 inches

Step-by-step explanation:

12.5 weeks = 2.5 inches

1 week = p inches

Cross multiply

12.5p = 2.5

Divide both sides by 12.5

p = 2.5 / 12.5

p = 0.2 inches

Hence, the length grown in 1 week is 0.2 inches

Hope I Helped You:)

Answer:

45°, 63°, 72°

Step-by-step explanation:

The sum of ratio units is 5+7+8=20, so each stands for 180°/20 = 9° of angle. Multiplying the ratio values by 9° gives the angle values:

  45° : 63° : 72°

Answer:

  (a)  500 kg·m/s west

Step-by-step explanation:

Momentum is the product of mass and velocity.

  p = mv

  p = (50 kg)(10 m/2 west)

  p = 500 kg·m/s west

Answer: b

Step-by-step explanation: graph b is correct hope it helps

Answer:

c. $324

Step-by-step explanation:

The solution is,

A) 83/400= 0,2075

B) 100/400=0,25

C) 42/400= 0,105

D) 42/100= 0,42

E) The special training program was effective.

Division can be stated as the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Explanation:

Total population= 400 salespeople

Received a bonus last year= 83 salespeople

Attended a special sales training program= 100 salespeople

Both attended sales training and received a bonus= 42 salespeople

a) You need to calculate the number of salespeople that receive a bonus over total population

83/400= 0,2075 The proportion of salespeople that receive a bonus is 0,2075

b) You need to calculate the number of salespeople that attended a special program over total population

100/400= 0,25 The proportion of salespeople that attended a special program is 0,35

c) 42/400= 0,105  The proportion of salespeople that receive a bonus and attended a special program is  0,105

d) You need to calculate the proportion of people that having attended received a bonus.

42/100= 0,42  The proportion of salespeople that receive a bonus having attended a special program is  0,42

e) The special training program was effective. The proportion of people that receive a bonus over the total population that didn't attend the program (41/300=0,14) is inferior to the proportion of salespeople that attend the program and receive a bonus. Meaning that there are more chances of receiving a bonus taking a training program.

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Complete question:

A company employs 400 salespeople. Of these, 83 received a bonus last year, 100 attended a special sales training program at the beginning of last year, and 42 both attended the special sales training program and received a bonus. (Note: the bonus was based totally on sales performance.) a) What proportion of the 400 salespeople received a bonus last year? b) What proportion of the 400 salespeople attended the special sales training program at the beginning of last year? c) What proportion of the 400 salespeople both attended the special sales training program and received a bonus? d) What proportion of the salespeople who attended the special sales training program received a bonus? e) Based on your answers to parts a and d, does the special sales training program seem to have been effective? Explain your answer.

Answer:

y = -2x - 1

See image

Step-by-step explanation:

The "slope-intercept" form of the equation is the

y = mx + b form

So you need to find the slope (m) and the y-intercept (b), which you are able to find on the image in the question.

Slope (m) tells how steep a line is and whether it goes up or down from left to right. It also works just like directions, from any point on the line to any other point on the line.

The y-intercept (b) is the point on the line where the line crosses the y-axis.

The slope is -2 and the y-intercept is -1

So the equation is

y = -2x - 1

See image

Answer:

Yes Jeff is the correct answer

Step-by-step explanation: