4. Graph the data in the table below. Which kind of function best models the data? Write an equation to model the data.
х
0
1
2.
3
4
- 6
- 9
12
- 15
18
O quadratic; y = -x2 + 2x - 6
linear; y = - 3x -6
O quadratic; y = 32 - 2x
exponential; y = -6•1.5%

Answer:

(3,6)

Step-by-step explanation:

We can substitute y for x+3 in the second equation

4x + x + 3 = 18

5x = 15

x=3

Plug x back into the equation

y = 3 + 3

y = 6

Answer:

B (3 ; 6)

Step-by-step explanation:

y = x + 3

4x + y = 18

4x + (x + 3) = 18

5x = 18 - 3

5x = 15

x = 3

y = x + 3

y = 3 + 3

y = 6

Answer:

The correct answer is "Option C".

Step-by-step explanation:

Given:

[tex]\bold{ 1) y= -\tan (x- \frac{\pi}{2})}\\\\\bold{ 2) y= \tan (x+ \frac{\pi}{2})}\\\\\bold{ 3) y= -\cot (x- \frac{\pi}{2})}\\\\\bold{ 4) y= \cot (x+ \frac{\pi}{2})}\\\\[/tex]

solve the above equation:

[tex]\Rightarrow 1) \ y= -\tan (x- \frac{\pi}{2})\\\\\Rightarrow \ y= \tan (\frac{\pi}{2}-x)\\\\\Rightarrow \ y= \cot x \ \ \ \ \ \bold{ that \ matchs \ graph \ D}\\\\ \Rightarrow 2) \ y= \tan (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= - \cot x \ \ \ \ \bold{ that \ matchs \ graph \ A}\\\\[/tex]

[tex]\Rightarrow 3) \ y= -\cot (x- \frac{\pi}{2})\\\\\Rightarrow \ y=\cot ( \frac{\pi}{2}-x)\\\\\Rightarrow \ y=\tan x\ \ \ \ \bold{that \ matchs \ graph \ C}\\\\[/tex]

[tex]\Rightarrow 4) \ y= \cot (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= \cot (\frac{\pi}{2}+x)\\\\\Rightarrow \ y= \ -tan x \ \ \ \ \ \bold{ that \ matchs \ graph \ A}[/tex]

The final answer is "Option C".

Answer:

c

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

Subtract 13 from both sides:

3x = -24

Divide by 3:

x = -8

Answer:

A≈804.25

Step-by-step explanation:

Divide the height by 2 which is 8 and then

A=4πr2=4·π·82≈804.24772

Answer:

[tex]x=-\dfrac{41}{14}[/tex]

Step-by-step explanation:

[tex]7(2x+6)=1[/tex]

Expand parentheses:

[tex]14x+42=1[/tex]

Subtract 42 from both sides:

[tex]14x=-41[/tex]

Divide both sides by 14:

[tex]x=-\dfrac{41}{14}[/tex]

Hope this helps!

Answer:

x = -41/14

Step-by-step explanation:

7(2x+6)=1

Distribute

14x +42 =1

Subtract 42 from each side

14x+42-42 = 1-42

14x = -41

Divide each side by 14

14x/14 = -41/14

x = -41/14

Answer:

64 ft squared.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

(6,0)

Step-by-step explanation:

First, let's find the line. We can do that by using the slope-intercept form of a line which is y = mx + b where m and b are the slope and y-intercept respectively. We know b = -18 and we can find m by doing (-18 - 6) / (0 - 8) = -24 / -8 = 3. Therefore, the equation of the line is y = 3x - 18. To find the x-intercept, we'll set y equal to 0. We get 0 = 3x - 18 → 3x = 18 → x = 6. Therefore, the x-intercept is (6,0). Hope this helps!

Answer:

Real numbers are numbers that are all on the number line. They can be negative and positive. Also, the number 0 can be a real number.

Hope this helps

Pascal's triangle up to the 5th iteration is

[tex]\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\end{array}[/tex]

This tells us

[tex](x-2)^5=\boxed{1}x^5(-2)^0+\boxed{5}x^4(-2)^1+\boxed{10}x^3(-2)^2+\boxed{10}x^2(-2)^3+\boxed{5}x^1(-2)^4+\boxed{1}x^0(-2)^5[/tex]

so the second term in the expansion is

[tex]5x^4(-2)^1=\boxed{-10x^4}[/tex]

Answer:

91584.38

Step-by-step explanation:

Round the 7 in the hundredths place to an 8 because the 7 in the thousandths place would make the number round up.

Step-by-step explanation:

Since Jackie wants her new map to be three times larger, then you would have to take a look at her ratios.

the original ratio is 1 inch:12ft, which basically says for every inch on the map you would get 12 real-life feet.

to get the ratio of her new map, just multiply the second half of the ratio times three. the inch should remain the same.

I hope i helped you out!

Answer:

b = 6

Step-by-step explanation:

y = 2x = + b

6 = 2 ×(0) + b

b = 6

Answer:

8x6=48+10=98 answer is 98 i think

Step-by-step explanation:

Answer:

x³+4x²-9

Step-by-step explanation:

x+3=0

x=-3

put x=-3 into x³+4x²-9, if it is equal to zero then it is dividsble

so, (-3)³+4(-3)-9=0

so a is correct

The polynomial A(x) is divisible by (x+3).

A factor is a number or expression that divides another number or expression  leaving no remainder.

If p(x) be the polynomial, then p(x) is divisible by q if q is the factor of p(x).

According to the given question

we have different polynomials

[tex]A(x) = x^{3} +4x^{2} -9[/tex]        

When we divide A(x) by (x+3) we get remainder 0.

⇒ (x+3) is a factor of A(x).

Hence, the polynomial  A(x) is divisible by (x+3).

[tex]B(x) = x^{3} -22 -18[/tex]

⇒ [tex]B(x) = x^{3} -30[/tex]

When we divide B(x) by (x+3) we get remainder -57.

⇒ (x+3) is not a factor of B(x)

Hence, the polynomial B(x) is not divisible by (x + 3).

[tex]C(x) =x^{3} -6x -9[/tex]

By dividing C(x) by (x +3)  we get remainder -18

⇒ (x+3) is not a factor of C(x).

Hence, C(x) is not divisible by (x+3).

[tex]D(x) = x^{3} + 3x + 3[/tex]

By dividing  D(x) by (x+3), we get remainder -33.

⇒ (x+3) is not a factor of D(x).

Hence, D(x) is not divisible by (x+3).

Thus, the polynomial A(x) is divisible by (x+3).

Learn more about factor theorem here:

https://brainly.com/question/12959513

#SPJ2

Answer: Yes, it must.

Step-by-step explanation:

By definition, a definite offer must offer enough information to the offerer to understand the offer. In other words, the terms must be clear enough for the offerer to understand the offer and decide if he/she accepts the offer or not.

So yes, a definite offer must include enough information to infer the terms, if not, this is not a definite offer.

Answer:

11+6=17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

11+6=17

Answer:

15 cubic units

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

5x - 2 = 10 - x

Add x to both sides

6x - 2 = 10

Add 2 to both sides

6x = 12

Divide both sides by 6

x = 2

Answer:

X= 6

Step-by-step explanation:

Do the opposite instead of addition do subtraction to get x

25 minus 19

Answer:

4 cm

Step-by-step explanation:

V=L×W×H

V=1 litre = 1000 cm³

H= V/LW

1000/(12.5×20)=4

height= 4cm

Answer:

B. 8

Step-by-step explanation:

The principal square root is another word for the positive square root. The square root of a number is the number that equals a given number when multiplied by itself.

In this case, 8*8 = 64. -8*-8 also equals 64, but we are looking for the principal square root here, so the only answer is 8.

Hope this helps!

Answer:

4

Step-by-step explanation:

4/1=4

7/7=1

Answer:

±sqrt( (vf) ^2 -2ad)) = vi

Step-by-step explanation:

(vf) ^2 = (vi)^2 +2ad

Subtract 2ad from each side

(vf) ^2 -2ad = (vi)^2 +2ad -2ad

(vf) ^2 -2ad = (vi)^2

Take the square root of each side

±sqrt((vf) ^2 -2ad)) = sqrt((vi)^2)

±sqrt( (vf) ^2 -2ad)) = vi

Answer: It's not 10 lol

Step-by-step explanation:

Answer:

None of them

Step-by-step explanation:

Because george and lincolin were both american presidents

Answer:

none of those statement are right

Step-by-step explanation:

They were both presidents of the United States

Answer: | t- 98.6 | ≤ 3

Temperatures less than  95.6 and higher than 101.6 will be considered unhealthy.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality

.

| t- 98.6 | ≤ 3

Where t is the body temperature.

The absolute value inequality has 2 solutions:

1st solution

t-98.6≤ 3

t ≤ 3+98.6

t≤ 101.6

2nd solution

-(t-98.6) ≤ 3

-t+98.6 ≤ 3

98.6-3 ≤ t

95.6≤ t

Both:

95.6≤ t ≤ 101.6

Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.