Solve the following compound inequality 4<_x+4<_12

Answer:

Step-by-step explanation:

Let the number be x.

twice the square of the sum of a number and 3 is expressed as;

2(x+3)²

If the expression is equal to 98, then;

2(x+3)² = 98

divide both sides by 2;

2(x+3)²/2 = 98/2

(x+3)² = 49

square root both sides

√(x+3)² = √49

x+3 = ±7

x = ±7-3

x = 7-3 or -7-3

x = 4 or -10

Hence the number is 4 or -10

The number is -4 or 10

Let n represent the unknown number

The following equation can be used to summarise the information given in the question

2 × n² = 98

The first step to take in order to determine the value of n is to divide both sides of the equation by 2

n² = 98/2

n² = 49

The second step is to determine the square root of both sides of the equation

n =√49

n =-7 or +7

The number = - 7 + 3 = - 4 or 7 + 3 = 10

A similar question was solved here: https://brainly.com/question/18118670?referrer=searchResults

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.

However, I'll solve for the vertex of the given function.

Given

[tex]y = -9.5x^2 + 47.5x + 63[/tex]

Vertex, V is of the form:

[tex]V= (h,k)[/tex]

Where

[tex]h = -\frac{b}{2a}[/tex]

and

[tex]k = f(h)[/tex]

Solving for h:

[tex]y = -9.5x^2 + 47.5x + 63[/tex]

[tex]y = ax^2 + bx + c[/tex]

So:

[tex]a = -9.5[/tex]

[tex]b = 47.5[/tex]

[tex]c = 63[/tex]

[tex]h = -\frac{b}{2a}[/tex]

[tex]h = -\frac{47.5}{2 * -9.5}[/tex]

[tex]h = -\frac{47.5}{-19}[/tex]

[tex]h = \frac{47.5}{19}[/tex]

[tex]h = 2.5[/tex]

Solving for k

[tex]k = f(h)[/tex]

[tex]k = f(2.5)[/tex]

Substitute 2.5 for x in [tex]y = -9.5x^2 + 47.5x + 63[/tex]

[tex]k = -9.5 * 2.5^2 + 47.5* 2.5 + 63[/tex]

[tex]k = -59.375+ 118.75 + 63[/tex]

[tex]k = 122.375[/tex]

Hence:

The vertex is

[tex]V = (2.5,122.375)[/tex]

Answer:

if ur doing savvas

Step-by-step explanation:

answer for the first one is:
Micah used the wrong sign for b in the formula x=-b/2a

answer for the second one is:
vertex is = (-2.5, 122.375)

Answer:

The goal for human rights is to education aims to do the following: Enhance the knowledge and understanding of human rights. Foster attitudes of tolerance, respect, solidarity, and responsibility. Develop awareness of how human rights can be translated into social and political reality.

(Evidence)   -------›

"The following year, he immigrated to the United States and settled in Kansas City, Mo., where he married, had four children and became a successful importer of ladies' handbags. It would be 16 years before he began speaking publicly about the Holocaust, something he says he decided to do after talking to one of his neighbors."

Answer:

86.8

Step-by-step explanation:

100+100+56+88+90

divide the answer by 5

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: (

100+100=200

200+56=256

256+88=342

342+90=432

432/5= 86.4

Answer:

3500+225x

Step-by-step explanation:

x = years after 1995. 1996 would be x = 1

Answer:

x = [tex]\frac{37}{12}[/tex]

Step-by-step explanation:

Given k(x) = 6x - [tex]\frac{1}{2}[/tex] and k(x) = 18, the equate the right sides, that is

6x - [tex]\frac{1}{2}[/tex] = 18 ( multiply through by 2 to clear the fraction )

12x - 1 = 36 ( add 1 to both sides )

12x = 37 ( divide both sides by 12 )

x = [tex]\frac{37}{12}[/tex]

Answer:

D

Step-by-step explanation:

The slope m is a measure of the rate of change

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, - 1) ← 2 points on the line

m = [tex]\frac{-1+4}{1-0}[/tex] = [tex]\frac{3}{1}[/tex] = 3 → D

Answer:

Opposite?

Step-by-step explanation:

Answer:        d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

yoou have to find common numbers

Step-by-step explanation:

Answer:

He sold 87-3/5 bushels in 6 days , he has 72-2/5 bushels left

Step-by-step explanation:

14-3/5 x 6 = Bushels sold in 6 days

Answer:

The length of the window is 18 ft and its height is 14 ft

Step-by-step explanation:

System of Equations

Let's call:

L: Length of the window in feet

W: Width of the window in feet

According to the first condition of the problem:

[tex]L = W + 4\qquad\qquad [1][/tex]

The perimeter of the rectangle is 64 feet. The perimeter is calculated as:

P = 2L + 2W =64

Dividing by 2:

[tex]L + W = 32\qquad\qquad [2][/tex]

The system of equations [1] and [2] can be used to find the dimension of the window.

Substituting from [1]

W + 4 + W = 32

Simplifying:

2W = 32 - 4 =28

Solving:

W = 28/2 = 14

Using [1]:

L = 14 + 4 = 18

The length of the window is 18 ft and its height is 14 ft

Answer: 83

Step-by-step explanation: -7x-2=14 -7x-8=56, 56 + 14 + 13 = 83.

Hope this helps! :)

Please Mark Brainliest!!!

Answer:

third choice

Step-by-step explanation:

Congruent means being exactly the same. When two line segments have the same length, they are congruent. When two figures have the same shape and size, they are congruent. ... Similar means that the figures have the same shape, but not the same size.

Answer:

The answer is B. -7

Step-by-step explanation:

the -7 cancels out the +7 which makes it neutral

Step-by-step explanation:

just do 3*- 3y and then the answer you get you do 3*8

Answer:

y=3x

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

3 is equal to 42 degrees because when you have two parallel lines that have another line pass through both parallel lines the values of degrees are the same as the opposite side so:

42 = 3

2 = 4

and another way you could find the value of 3 is since there is a perpendicular line going through line p we know that since it is perpendicular that the angle between them is 90 so angle 3 is:

90 - (angle 4) = angle 3

You may use this method if you first solved for angle 4 or angle 2 and we can get angle 2 from:

180 - 42 = 138

we can do this because 42 + angle two should be 180 degrees since they are along line n.

Answer:

2, 12, 36, 80

Step-by-step explanation:

Substitute n = 1, 2, 3, 4 into the n th term formula, that is

a₁ = 1³ + 1² = 1 + 1 = 2

a₂ = 2³ + 2² = 8 + 4 = 12

a₃ = 3³ + 3² = 27 + 9 = 36

a₄ = 4³ + 4² = 64 + 16 = 80

Answer:

A

Step-by-step explanation:

I have the same question and got it write

Answer:

I think B

Step-by-step explanation:

13.77 times the number of people gives you your answer, so probably C=13.77p

Answer:

  D.  |C -305,000| ≤ 80,000

Step-by-step explanation:

Such an equation will say that the difference from the average of these values is at most half of their difference.

  | C -(225000+385000)/2 | ≤ (385000 -225000)/2

  |C -305,000| ≤ 80,000 . . . . . matches choice D

Answer:

common ration = 1/4

12th term = 1/65536

Step-by-step explanation:

64

64*1/4 = 16

16 * 1/4 = 4

4* 1/4 = 1

1 * 1/4 = 1/4

1/4*1/4 = 1/16

1/16*1/4 = 1/64

etc

1/256

1/1024

1/4096

1/16384

12th term = 1/65536

Answer:

see explanation

Step-by-step explanation:

The common ratio r is calculated as

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{16}{64}[/tex] = [tex]\frac{1}{4}[/tex]

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 64 and r = [tex]\frac{1}{4}[/tex] , thus

[tex]a_{12}[/tex] = 64 × [tex](\frac{1}{4}) ^{11}[/tex] = 64 × [tex]\frac{1}{4194304}[/tex] = [tex]\frac{64}{4194304}[/tex] = [tex]\frac{1}{65536}[/tex]

c=4 w=4

5c=20

3w=12

5c+3w=32

Answer:

It will take him 1 hour and 30 minutes. (90 minutes)

Step-by-step explanation:

If he is running 1 mile in 10 minutes and he needs to run 9 miles the just multiply 9 by 10 to get 90 then simplify if you need to to get 1 hour and 30 minutes.

Hope this helped and have a great rest of your day.

Answer:

-24

Step-by-step explanation:

You start with -6 points, and get another -6 on the rest of the turns which is a total of 4 turns.

-6 x 4 is -24

Unless this question is missing some information, this should be correct I believe.

Hope this helps!

The score after 4 turns is -24.

Given that, you play a game where you score -6 points on the first turn and on each of the next 3 turns.

We need to find what is the score after 4 turns.

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

Now, the score after 4 turns = Score of the first turn + The next 3 turns

= -6 + 3(-6)

=-6-18

=-24

Therefore, the score after 4 turns is -24.

To learn more about integers visit:

brainly.com/question/15276410.

#SPJ2

Answer:

$55.25

Step-by-step explanation:

I hope this helps!

$55.25 is the cost of the coat after the sale.

Step-by-step explanation:

Given:

Price of the coat = $65

Percentage of discount = 15%

To find:

The cost price of coat after the sale

Solution:

Cost price of coat = $65

Percentage of discount = 15%

The amount of discount will be 15% of the price of the coat.

Amount of discount :

[tex]=\frac{15}{100}\times \$65 \\=\$9.75[/tex]

The cost price of the coat:

[tex]=\$65-\$9.75=\$ 55.25[/tex]

$55.25 is the cost of the coat after the sale.

Learn more about cost price and discount here:

brainly.com/question/13278801?referrer=searchResults

brainly.com/question/2984088?referrer=searchResults

Answer:

She will have $23 left.

Step-by-step explanation: