Which expression is equivalent to 2(5z+3)?

Answer:

zeros are at x = -1, x = 2 and x = -3

continues downward to the left and upward to the right

Step-by-step explanation:

Given function:

f(x) = (x + 1)(x - 2)(x + 3)

The zeros are when f(x) = 0

⇒ (x + 1)(x - 2)(x + 3) = 0

⇒ (x + 1) = 0 ⇒ x = -1

⇒ (x - 2) = 0 ⇒ x = 2

⇒ (x + 3) = 0 ⇒ x = -3

Therefore, the zeros are at x = -1, x = 2 and x = -3

If we expand the brackets of the function we get:

f(x) = (x + 1)(x - 2)(x + 3)

     = (x + 1)(x² + x - 6)

     = x³ + 2x² - 5x - 6

As the leading coefficient (the coefficient of x³) is positive, the end behavior of the function is:

[tex]f(x) \rightarrow + \infty, \textsf{as } x \rightarrow + \infty[/tex]

[tex]f(x) \rightarrow - \infty, \textsf{as } x \rightarrow - \infty[/tex]

So the correct option is:

"continues downward to the left and upward to the right"

Answer:

Step-by-step explanation:

I take that x to be multiplication.

Combine 240 *3

(80 + 720) ÷ 20    

Combine inside the brackets

80 + 720 = 800

What's left is 800÷ 20

Answer 800 ÷ 20 = 40

Answer:

That is right

Step-by-step explanation:

An outlier is a number that does not fit in a data set and is does not belong because it is to high or to low. In this case it is to low.

Answer:

  a) 160 meters short

  b) d = 200x +80y

  c) (run, walk) = (2, 15), (4, 10), (6, 5)

  d) see attached

Step-by-step explanation:

You're being asked to write an equation describing the gym class requirement, and to find several values of the variables that satisfy the equation.

It is convenient to write the equation first (part b).

__

At 200 meters per minute, in x minutes, Eric will run 200x meters. At 80 meters per minute, Eric will walk 80y meters in y minutes. His total distance covered will be ...

  d = 200x +80y

__

In the given times, Eric's distance covered is ...

  d = 200(4) +80(8) = 800 +640 = 1440 . . . meters

Eric is 160 meters short of the 1600-meter goal.

__

It is convenient to simplify the equation to one that lets us find one value in terms of the other.

  200x +80y = 1600

  5x +2y = 40 . . . . . . . . divide by 40

This will have integer solutions for even values of x in the range 0 to 8.

  y = (40 -5x)/2

For x={2, 4, 6}, we have ...

  y = (40 -5{2, 4, 6})/2 = {30, 20, 10}/2 = {15, 10, 5}

Eric can cover 1600 meters in (run, walk) times of ...

  (run, walk) = (2, 15), (4, 10), (6, 5)

__

The graph is attached. We'll let you read as many values from it as you may wish.

Answer:

½

Step-by-step explanation:

first do ⅚-²/7

then take lcm of 6 and 7

then do multiply

Answer:

5/21

Step-by-step explanation:

Numerator 5 times the Numerator 2(which equals 10) over denominator 6 times denominator 7 (which equals 42) will give 10/42. Break it down by dividing both denominator and Numerator by 2 to get the final answer

Answer:

His weekly expense is $12.50.  You did not mention how much he earned but you would subtract the 12.50 to find out how much he earned after his expense.

Step-by-step explanation:

Answer:

15 - r

Step-by-step explanation:

[tex]8 - (r - 7) \\ 8 - r + 7 \\ 15 - r[/tex]

Answer:

Area = 59.8 sq units

Step-by-step explanation:

There is a very convenient area formula for the area of a triangle given two sides and the included angle.

A = 1/2•a•b•sin C°

A = 1/2(11)(11)sin 99°

A = 59.8 sq units

Answer:

x = 5

Step-by-step explanation:

For x = 5, value of y should be [tex]-12\frac{1}{2}[/tex]

Hope it helps you in your learning process.

Answer:

$43.87.

Step-by-step explanation:

let the regular price be x, then

0.75x = 32.9

x = 32.9 / 0.75 = $43.87

Answer:

43.87

Step-by-step explanation:

Let the regular price be T

- 2/3 is the correct answer

Step-by-step explanation:

The rate of change of function K is -2/3. Therefore, option B is the correct answer.

The rate of change, or the slope, is calculated as Δy/Δx , or (y2−y1)/(x2−x1). The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value.

Given that, linear function K passes through points (-3,7) and (3,3).

Now, the rate of change

= (3-7)/(3+3)

= -4/6

= -2/3

Therefore, option B is the correct answer.

Learn more about the rate of change here:

https://brainly.com/question/8223651.

#SPJ2

There are different ways to construct an angle. The steps used in constructing a line segment are;

First, you have to put the compass at a one specific end of line segment.

Then you shift the compass slowly a little bit so it will be longer in length to half the length of line segment.

Then you have to draw arcs up and down the line.

while using the same compass width, you then draw arcs from one specific end of line.

and thereafter you put your ruler in the point where the arcs cross, and you then draw the line segment.

The differences is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in construction of a line segment, there is differences in length.

What are the construction process of Angles?

This entails a good construction process in making angles. They are step-by-step processes that are used to produce a detailed and exact geometric figures.

Learn more about line segment from

brainly.com/question/2437195

The steps to construct an angle and its bisector are described above.

The angle can be defined as the one line inclined over another line.

Here,
Step 1,
Draw a random size horizontal line,

Step 2,
Take the rounder, mark the rounder 1/3 of the line drawn, put on one of the ends, and draw a horizontal semi-circle,

Step 3,
One more time, keep the rounder 1 / 3 measure of the semi-circle and cut 2 consecutive arcs, one from the initial end of the semi-circle and the other from the previous arc cut on the semi-circle.

Step - 4
Now draw a line from the center of the semi-circle through the cut arc, an angle will be formed

Step - 5,
Now cut 2 arcs from the previously cut arc intersecting each other.

Step - 6
Now draw the line from the initial point of the horizontal line and the final intersecting arcs.

Thus, The steps to construct an angle and its bisector are described above.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ6

Answer:

Since the two angles, A and C are given to be 48° ang 46.7°, respectively, the value of angle B may be calculated by difference. Note that for a triangle, the sum of the angles is 180°. This makes the angle B equal to 85.3°. By the Sine Law,

                             b / sin B = a / sin A

Substituting,

                             b / sin 85.3° = 44 / sin 48°

The value of b from the equation is approximately equal to 59.01.

Answer:

35

Step-by-step explanation:

is correct for ape x

Answer:

y = $38.97

y = 6.495(5) + 6.495

Step-by-step explanation:

So for this problem, since it states the cost and length of the subscription are related, you can use the two subscription costs as data (or coordinate) points.

1 year = 12.99, 3 year = 25.98; so (1,12.99), (3, 25.98) use these points to calculate the average rate of change (or the slope (m)).

(y - y1)/(x - x1) = m so, (25.98-12.99)/(3 - 1) = 6.495, this is the slope, m

y = 6.495(x) + b now just pick one of the points and put in the x and y values to solve for b

12.99 = 6.495(1) + b solve for b and you discover it also = 6.495 = b

so y = 6.495(x) + 6.495 is the equation of the line, to answer their question, just pop in x=5 for the 5 years subscription cost

y = 6.495(5) + 6.495

y = $38.97

Answer:

I tried to draw it out for you

[tex] \cos(x) ( \tan(x) - \sqrt{3} ) = 0[/tex]

[tex] \cos(x) ( \frac{ \sin(x) }{ \cos(x) } - \sqrt{3} ) = \\ [/tex]

Thus :

[tex] \cos(x) = 0 \: \: \: or \: \: \: \tan(x) - \sqrt{3} = 0[/tex]

Over interval [0 , 2pie ) :

[tex] \cos(x) = 0[/tex]

[tex]x = \frac{\pi}{2} , \frac{3\pi}{2} \\ [/tex]

[tex] \tan(x) - \sqrt{3} = 0[/tex]

[tex] \tan(x) = \sqrt{3} [/tex]

[tex]x = \frac{\pi}{3} ,\pi + \frac{\pi}{3} \\ [/tex]

[tex]x = \frac{\pi}{3} , \frac{4\pi}{3} \\ [/tex]

____________________________________________

Thus the solutions are :

[tex] \frac{\pi}{3} , \frac{\pi}{2} , \frac{4\pi}{3} , \frac{3\pi}{2} \\ [/tex]

As u can see the first option is the correct answer .

And we're done....

Answer:

C

Step-by-step explanation:

[tex]65=\frac{(360-x)-(x)}{2}[/tex]

130=360-2x

2x=230

x=115

Answer:

502.4 ft^2.

Step-by-step explanation:

Area of a sector = 1/2 r^2 α   where α = central angle in radians

= 1/2 * 5pi/4 * 16^2

= 502.4 ft^2.

Answer:

this polygon is a geometrical figure. Hope this helps you

Step-by-step explanation:

these are many reflective rays that satisfy this condition. The reflection Ray's for ended by the line between a better and it's opposite medpoint satisfy the reflection itself.

One of the reflected rays that meet this condition is shown in the figure above the line between vettex a and the metalpoint of the opposite Edge.

Answer:

80% chance of winning$100

Step-by-step explanation:

50/1000 , 10/1000

=> 0.05, 0.01

0.05 - 0.01

0.04 ÷ 0.05

0.8 × 100

=> 80%

Answer:

8 17/30

Step-by-step explanation:

First, we will get the sum

4 2/3+ 5 2/5 =

10 1/15

Now we do the subtraction step

10 1/15 - 1 1/2=

8 17/30

Should be your answer^

Answer: EF= 16 units

Step-by-step explanation:

I took the test and also EF has to be greater just by looking at the triangle.

Answer:

69

Step-by-step explanation:

Just plug in

10(9)-7(3) = 90-21 = 69

Answer:

The answer is 15/37.

Step-by-step explanation:

There are 15 girls who like starwberry icecream, and the total of girls is 37.

So, the ratio of girls who prefer strawberry icream to the whole group of girls, 15 out of 37 (15/37 or 15:37) like strawberry icecream.

Answer:

520

Please refer the attachment.

Stay safe, stay healthy and blessed.

Have a good day !

Thank you

Answer:

14.47 rounded to the nearest whole number is 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

4 is less then 5 so you do not need to go up!

To solve this problem where we need to find the radius:

   ⇒ find the relationship between height, volume, and radius

     ⇒ only equation that involves all these quantities is

       ⇒ Volume's equation = [tex]V = \pi r^2*h[/tex]

Let's set up our volume equation with known quantities

 [tex]V=\pi r^2*h\\3014.4=\pi r^2*15\\3014.4 = 3.14*r^2*15\\960=15r^2\\r^2=64\\r=8[/tex]

  *r cannot be negative thus r equals a positive 8

Thus the radius is 8.00 inches (rounded to the nearest hundredth)

Hope that helps!

Answer:

8.00 inches

Step-by-step explanation:

Given:

To find:

Cylinder’s Volume:

Substitute given information in:

[tex]\displaystyle \large{3,014.4 = 3.14 \cdot r^2 \cdot 15}\\\displaystyle \large{3,014.4=47.1r^2}[/tex]

Solve for r by dividing both sides by 47.1:

[tex]\displaystyle \large{\dfrac{3,014.4}{47.1} = \dfrac{47.1r^2}{47.1}}\\\displaystyle \large{64 = r^2}\\\displaystyle \large{r = 8,-8}[/tex]

However, radius is a scalar value so it cannot be negative - the radius is 8 inches

Since you want in nearest hundredth then the radius is 8.00 inches