The following table gives a partial set of values of a polynomial function.

x | -2 | -1 | 0 | 1 | 2 | 3
g(x) |-14| -2 | 0 |-4| -6| 2

Between which two values would a relative minimum most likely occur?

-2 and 0
-1 and 1
0 and 2
1 and 3

(-2 and 0 is incorrect btw)

Answer:

y = -5/3x + 3

Step-by-step explanation:

First lets turn the equation from standard form to slope intercept form.

3x - 5y = 1

~Subtract 3x to both sides

-5y = 1 - 3x

~Divide -5 to everything

y = -1/5 + 3/5x

~Reorder

y = 3/5x - 1/5

Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.

3/5x -> -5/3x

Now that we have the slope, we can use the given point to find the y-intercept.

y = -5/3x + b

8 = -5/3(-3) + b

8 = 5 + b

3 = b

Put all the information we solved for into a final equation.

y = -5/3x + 3

Best of Luck!

Answer:

880 miles

Step-by-step explanation:

352 - 220 = 132

132 ÷ 0.15 = 880

880 miles

x - 2 < 5   ⇒   x < 7

x + 7 > 6   ⇒   x > -1

Together, we have -1 < x < 7, which in set notation is

[tex]\left\{x \mid -1 < x < 7\right\}[/tex]

(third choice)

Answer:

Step-by-step explanation:

At 8:28 exactly one hour had gone by.

To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18  (48 - 2)

Answer: 1 hour and 18 minutes.

16/9.................

Answer:

16/9

Step-by-step explanation:

Answer:  [tex]18\sqrt{2}\\\\[/tex]

This is the same as saying 18*sqrt(2) or you could say 18√2

============================================================

Explanation:

We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

So we could have this as our steps:

[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]

Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

Start at 3, subtract 5 and you get -2

Answer:

-4x+1-10

Step-by-step explanation:

-2(2x+5)=0

-4x-10=0

-4x+1-10=0

-4x-9=0

-4x=9

x=9/-4

x=-2,25

please inform if wrong

Answer:

6.25 or 6 2/8 or 6 R2

Step-by-step explanation:

=========================================================

Explanation:

The changes of this number are

The overall net change is -0.4+0.008+20 = 19.608

We'll be adding this net change to the original number

143.351 + 19.608 = 162.959

This value is exact and hasn't been rounded.

Answer: 16.75

Step-by-step explanation:

Answer:

16.75

Step-by-step explanation:

To find the mean, add up all the number

18+20+16+13

67

Then divide by the number of quizzes

67/4

16.75

Answer:

5

Step-by-step explanation:

the absolute value of -2 is 2

the absolute value of -3 is 3.

Since the question is adding the absolute values, the answer is 5

Answer:

1/12

Step-by-step explanation:

multiply by three so 4x3 is 12 and that's 3 equal parts

Answer:

Base: 24 and height:6

Step-by-step explanation:

Answer:

Base: 24

Height: 6

Step-by-step explanation:

The question says a scale factor of 1/2 so divide by 2. It says scale back

so you know as well that your answer is going to get bigger.

Original Base = 48/2 or (48)x(1/2)

Original Height = 12/2 or (12)x(1/2)

Answer:

best bet is 6

Step-by-step explanation:

Answer:

100,000>56,313 56, 56,313<100,000

Answer:

50000 5000 200 20 2

Step-by-step explanation:

[tex]\\ \sf\longmapsto 123,949[/tex]

[tex]\\ \sf\longmapsto 123,95[/tex]

[tex]\\ \sf\longmapsto 123,9[/tex]

[tex]\\ \sf\longmapsto 124[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Note

Write the number until underlined point.I did it till end

Answer:

The number is 123949 (or 123.949 in case comma stands for decimal)

According the rounding rule

Round to the number 4, the second number from the right:

or

Answer:

Step-by-step explanation:

N = 4(12) = 48 novels

Answer:

x-intercept = 14/5

y-intercept = 7/4

Step-by-step explanation:

To find the value of an intercept (x/y) of an equation like this, simply set the other variable to 0 and divide both sides by the coefficient of the variable you're trying to find.

=========================================================

Explanation:

Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.

To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.

------------------------------

The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.

Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas

I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.

The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15

Lastly, we'll add up the sub-areas to get the grand total

A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area

------------------------------

Another pathway to the answer:

If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions

The order of L,W,H doesn't really matter.

Then we can use the 3D block surface area formula like so

SA = 2*(LW + LH + WH)

SA = 2*(7*5 + 7*3 + 5*3)

SA = 2*(35 + 21 + 15)

SA = 2*71

SA = 142 cm^2 is the surface area

As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.

Answer: 8.EB and F: yes

9.DB and FC:no

10.AC and ED:yes

11.AE and DC:yes

12.F,A,B and C:yes

13.F,A,B and D:no

14.plane Q and EC:yes

15.FB and BD:yes

Step-by-step explanation:

hope this helps have a good day!

Step-by-step explanation:

x=y

x+2y=6

y+2y=6

3y=6

y=2

Step-by-step explanation:

x=y

x+2y=6

y+2y=6

3y=6

y=2

hi <3

you can solve this by substituting one equation into the other.

in this case, it is more simple to substitute the first equation into the second, as it is already arranged into a simple format

so:

y + 2y = 6

now you can simplify:

3y = 6

divide both sides by 3 to get your answer:

y = 2

hope this helps <33

Answer:

a=2 and b=2...............

Answer:

the function is always increasing

Step-by-step explanation:

if you look at the graph, as x increases, y increases, no matter how small the increase

Answer:

27

Step-by-step explanation:

3(5+1+3) distribute

15+ 3+ 9 add

27

Answer:

ANSWER 5.3 miles

See IMAGE FOR SOLUTION