complete the factoring , if needed solve the polynomial any quality using a sign chart (x+3)(x^2-8x+15)<0

Answer: 5

Step-by-step explanation:

.

Heyo!

So, the best prediction for the height of the rocket after 5.5 seconds, based on the given data above, I believe would be C. 220 ft.

Hope this helps! Pls, LMK if it does! Good Luck!

The best prediction for the height of the rocket after 5.5 sec will be 220 feet.

A quadratic equation is an equation where the highest power of the variable is 2.

Given data for the height of the rocket at different time is modeled by the function  h(t) = -16t² + 128t

The height of the rocket after 5.5 sec will be

= h(5.5) = [- 16(5.5)² + 128 × 5.5] feet = (- 484 + 704) feet = 220 feet.

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Answer:

0.40

Step-by-step explanation:

4/10 = 0.40

Answer:

The meal cost 80 dollars

7: Graph A

8: Graph B

9: Graph C

therefore: Graph A has infinitely MANY solutions; Graph B has ONE solution; Graph C has NO solution

also!! khan academy has a lesson that talks about this and is super helpful: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:number-of-solutions-to-systems-of-equations/a/number-of-solutions-to-system-of-equations-review

funny they were already in order :) also could you please give me brainliest? all my brainliest answers disappeared :/

Answer:

-7-24x

Step-by-step explanation:

looked on photomath.

Answer:

45.53 inches

Step-by-step explanation:

c=pi*d d=14.5, 14.5*3.14 is 45.53 inches

Answer:

L

Step-by-step explanation:

thats tuff ez points jk its c

Answer:

$ 2320.3

Step-by-step explanation:

Leon has $77,343 in a savings account that earns 9% annually.The interestis not compounded.To the nearest cent,how much interest will he earnin 4 months?

Since the interest is not Compounded

We solve using Simple Interest formula

= P × R × T

P = $77,343

R = 9 %

T = 4 months

Converting to years

= 4/12 = 0.3333333333

Interest = $77,343 × 9% × 0.3333333333

=$2320.29

Approximately to the nearest cents = $2320.3

Answer:

a = 3, b = 2

[tex]y = 3\cdot 2^x[/tex]

Step-by-step explanation:

[tex]y = ab^x\\3 = ab^0\\12 = ab^2\\~\\3=ab^0=a\cdot 1 = a\\a = 3\\~\\12 = ab^2 = 3b^2\\4 = b^2\\b = 2 \vee b = -2[/tex]

but we know from the graph being defined and positive, that b cannot be -2

b = 2

The value of a is 3 and value of b is 2.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The graph is y=abˣ

The points with coordinates (0, 3) and (2, 12) lie on the graph.

We need to find the values of a and b.

The point (0, 3)

3=ab⁰

a=3

Now point (2, 12)

12=ab²

Now plug in a value as 3

12=3b²

Divide both sides by 3

12/3=b²

4=b²

b=2

Hence, the value of a is 3 and value of b is 2.

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Answer:

16

Step-by-step explanation:

8 divided by 1/2 is 16 sites

Hope this helped!

Answer:

-77

Step-by-step explanation:

-77 + -23 = -100

Answer:

i think 4 feet tall

Step-by-step explanation:

i think if it is wrong im sorry i tried

Answer:

37.7ft³

Step-by-step explanation:

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

Explanation:

We start with one block at the very left side. This is algebraically written as [tex]a_1 = 1[/tex]. The small subscript '1' means we're dealing with the first term, and that is set equal to 1. In other words, the first term is 1.

The second term is three since we have three blocks as the next figure down the line. So [tex]a_2 = 3[/tex]. We can then see that [tex]a_3 = 6[/tex] and [tex]a_4 = 10[/tex]

The sequence of the first four terms are: 1, 3, 6, 10.

The notation [tex]a_n = a_{n-1} + n[/tex] tells us "to get the nth term [tex]a_n[/tex], we add the previous term ([tex]a_{n-1}[/tex]) to the value of n".

For example, if we wanted the third term, we would add the second term a2 onto the value of n = 2. In order to know a2, we need the diagram or you would have to use the recursive formula to find it.

Furthermore, it means that to find the fifth term [tex]a_5[/tex], we do the following

[tex]a_n = a_{n-1} + n\\\\a_5 = a_{5-1} + 5\\\\a_5 = a_{4} + 5\\\\a_5 = 10+5\\\\a_5 = 15[/tex]

The fifth figure will have 15 small little blocks to it. You can draw this out by copying the fourth figure, and then adding 5 smaller blocks to the very bottom portion. The sixth figure is basically a copy of the fifth one, but we have six little blocks along the bottom. This is the "plus n" being applied in the recursive formula.

So the 6th figure will have 15+6 = 21 blocks in total while the 7th figure has 21+7 = 28 blocks. This points us to choice (3).

Side note: These are known as triangular numbers. Note how the gaps between consecutive values of 1,3,6,10,15,21,28 is +2,+3,+4,+5,+6,+7.

Answer:The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary …

Step-by-step explanation:

Long until a new elementary school needed is 9.6.

Given:

Interest rate, r = 6.2% or 0.062

Amount, A = 100000

Principle, P = 76000

As we know,

[tex]$\Rightarrow A=P\left(1+\frac{r}{100}\right)^{n}$$[/tex]

On substituting the values, we get

[tex]$&\Rightarrow 100000=76000\left(1+\frac{6.2}{100}\right)^{n} \\[/tex]

[tex]$&\Rightarrow(1+0.062)^{n}=\frac{100}{76}[/tex]

On taking log both sides, we get

[tex]$&\Rightarrow n \log _{c}(1.062)=\log _{c}\left(\frac{100}{76}\right) \\[/tex]

[tex]$&\Rightarrow \quad n=\frac{\ln \left(\frac{100}{76}\right)}{\ln (1.062)}[/tex]

By putting the values of log, we get

[tex]$\Rightarrow \quad=4.5622$[/tex]

[tex]$\Rightarrow \quad=4.6[/tex]

Therefore, the correct answer is 4.6.

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Answer: 35

Step-by-step explanation:

We substitute a for 1 and b for 6.

5(1+6)=5(7)=35

Answer:

Step-by-step explanation:

5(x+1), when expanded, becomes 5x + 5, which is ot the same as 5x + 1.

A story problem for 2/3 x 2/4 is,

Milson have 2/3 gallons of water and He wanted to split half of it with his brother. What fraction of the cake does Harry have.

We have to given that,

Create a story for 2/3 x 2/4.

We can write a story problem for 2/3 x 2/4 as,

Milson have 2/3 gallons of water and He wanted to split half of it with his brother. What fraction of the cake does Harry have.

Which can be solve as,

⇒ 2/3 x 1/2

⇒ 1/3

Here, expression is,

⇒ 2/3 x 2/4

⇒ 1/3

Therefore, A story problem for 2/3 x 2/4 is,

Milson have 2/3 gallons of water and He wanted to split half of it with his brother. What fraction of the cake does Harry have.

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Answer:

For red you have a 1/5% chance for pink you have a 2/4% chance also know as 50% chance

Step-by-step explanation:

The question is incomplete. The complete question is :

John mows yards for his father's landscaping business for $ 10 per hour and also at a bakery for $ 15 per hour. He can work at most 52 hours per weak during the summer. He needs to make at least $ 600 per week to cover his living expenses.

a) If John works 14 hours mowing and 30 hours at the bakery, does this satisfy all of the problem’s constraints?

(b) If x represents the hours John spends mowing and y represents the hours he spends at the bakery, write a system of inequalities that describes this scenario.

Answer:

a). No

b). 10x + 15y ≥ 600

Step-by-step explanation:

a). Number of hours John works mowing = 14 hours

    Number of hours John works at bakery = 30 hours

Therefore, according tot he question,

= 14($10) + 30($15)

= 140 + 450

= $ 590

This is not enough money. He needs to earn $ 600 per week.

b). Given :

    x = hours John spends mowing

    y = hours John spends at the bakery

Therefore, the inequalities which describes this situation is:

   x + y ≤ 52

  10x + 15y ≥ 600

Answer:

x=21 degrees

Step-by-step explanation:

Answer:

14 possible outcomes

Step-by-step explanation:

It is given that :

There are 8 black cards numbered 1 through 8.

Therefore, Black 1, Black 2, Black 3, Black 4, Black 5, Black 6, Black 7, Black 8.

And there are 6 red cards numbered 1 through 6.

Therefore, Red 1, Red 2, Red 3, Red 4, Red 5, Red 6.

So the total number of cards is 8 + 6 = 14 cards.

So, there will be 14 possible outcomes if we choose a card randomly.

Answer:

They are 46, 48, 50.

Step-by-step explanation:

An even number is a multiple of

2

, then can be written as 2n. The next even number after

2

n

is

2

n

+

2

and the following is

2

n

+

4

.

So you are asking for which value of

n

it you have

(

2

n

)

+

(

2

n

+

2

)

+

(

2

n

+

4

)

=

144

I solve it for

n

6

n

+

6

=

144

n

=

138

6

=

23

.

The three numbers are

2

n

=

2

⋅

23

=

46

2

n

+

2

=

46

+

2

=

48

2

n

+

4

=

46

+

4

=

50

Answer:

B. x = -4

E. x = 10

Step-by-step explanation:

[tex](x-3)^2=49 \\ \\ x - 3 = \pm \sqrt{49} \\ \\ x - 3 = \pm 7 \\ \\ x = 3 \pm 7 \\ \\ x = 3 + 7, \: \: x = 3 - 7, \\ \\ x = 10, \: \: x = - 4[/tex]

Answer:

area of shaded portion of figure = 76.24 cm²

Step-by-step explanation:

find the area of the circle, a 60° segment of the circle, and an equilateral triangle with sides of 5 cm:

area of circle = πr² = (3.14)(5²) = 78.5 cm²

area of 60° segment of circle = 78.5/6 = 13.08 cm²

area of triangle = 1/2(4.33)(5) = 10.82 cm²

The shaded area will be:

full circle area - (60° segment - triangle) = 78.5 - 13.08 + 10.82 = 76.24 cm²

Answer:

The end behavior of f(x)=2/3x-2 is: as x->+ infinity, f(x)->+ infinity

as x->- infinity, f(x)->- infinity

Step-by-step explanation:

When you are asked about the end behavior of a function, look to see where the function is traveling on the graph. For instance, this graph is linear, so you should look to see if the slope is positive or negative. This linear function is positive, so as x is reaching positive infinity the f(x) would also be reaching positive infinity. As x is reaching negative infinity, f(x) would also be reaching negative infinity. The end behavior of a function describes the trend of the graph on the left and right side of the x- axis. (As x approaches negative infinity and as x approaches positive infinity).  

Answer:

2. 4

3. 9

Step-by-step explanation:

2. 4 ~ 8

3 ~ x + 2

x + 1 ~ 10

8 / 4 = 2

2 (3) = x + 2

6 = x + 2

- 2     - 2

x = 4

2 (x + 1) = 10

/ 2           / 2

x + 1 = 5

   - 1   - 1

x = 4

3. 9 ~ 13.5

x + 1 ~ 15

13.5 / 9 = 1.5

1.5 (x + 1) = 15

/ 1.5         / 1.5

x + 1 = 10

  - 1    - 1

x = 9

Answer:

D. In(x - 3) + 4

Step-by-step explanation: