PLEASE HELP!! Im not sure with my answers and solution. Correct answers and solutions will be marked as "BRAINLIEST".​

PLEASE HELP!! Im Not Sure With My Answers And Solution. Correct Answers And Solutions Will Be Marked

Answers

Answer 1

Answer:

[tex]\textsf{(a)} \quad -4 < x\leq 1[/tex]

[tex]\textsf{(b)} \quad [3, 19)[/tex]

Step-by-step explanation:

Part (a)

Given compound inequality:

[tex]\dfrac{9+x}{5} < 5+x\leq 6[/tex]

[tex]\textsf{If\: $a < u\leq b$ \:then\: $a < u$ \:and\: $u\leq b$}.[/tex]

[tex]\textsf{Therefore \:$\dfrac{9+x}{5} < 5+x$ \:and\: $5+x\leq 6$}[/tex]

Solve the inequalities separately:

Inequality 1

[tex]\begin{aligned}\dfrac{9+x}{5} & < 5+x\\9+x & < 5(5+x)\\9+x & < 25+5x\\9+x -5x& < 25+5x-5x\\9-4x & < 25\\ 9-4x-9 & < 25-9\\-4x & < 16\\-x & < 4\\x & > -4\\ \end{aligned}[/tex]

Inequality 2

[tex]\begin{aligned} 5+x & \leq 6\\ 5+x-5 & \leq 6-5\\x & \leq 1 \end{aligned}[/tex]

Combine the intervals:

[tex]-4 < x\leq 1[/tex]

Part (b)

Given equation:

[tex]y=x^2+3[/tex]

As the domain is restricted to  -4 < x ≤ 1, the range is also restricted.

The vertex (minimum point) of  [tex]y = x^2 + 3[/tex]  is when x = 0.

As x = 0 lies within the restricted domain, y = 3 is the lowest value of the range.

[tex]x=-4 \implies y=(-4)^2+3=19[/tex]

Therefore, the range is:

Solution: 3 ≤ y < 19.Interval notation: [3, 19)

Related Questions

Find the equation of the line shown below

Answers

Answer:

Below in bold.

Step-by-step explanation:

The slope = rise / run

= 5/10

= 1/2.

General form of the straight line is

y = mx + c   where m = the slope and C is the y-intercept

Here m = 1/2. and c = 0

So, the answer is y = 1/2 x.

Solve the equation. − 3 ( 3 − 4 x ) = 5 ( x − 1 ) + 7 ( x + 2 ) Show each step you used to solve the equation. Determine whether the equation has one solution, no solution, or infinitely many solutions. Explain your reasoning.

Answers

Answer:

0=18

Step-by-step explanation:

-3(3 - 4x) = 5(x - 1) + 7(x + 2)

-3( -4x + 3) = 5(x - 1) + 7(x + 2)

Find the area of a triangle with a base
of 10m and a height of 12m.
Area: 1/2(bxh)

Answers

Answer: 60m

Step-by-step explanation: The formula is 1/2(bxh)

the base is 10m and the height is 12m.

1/2(10 x 12) =

1/2(120) = 60

Here are two box plots:
95
95
100
100
105
box plot A
105
box plot B
110
110
115
115
1. Which box plot has a greater median? v
2. Which box plot has a greater measure of variability

Answers

Answer:

Box plot B

Step-by-step explanation:

Hope this helps

Find the quotient of The quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.. Write the final answer in scientific notation.


6 x 1048

6 x 1024

6 x 100

6 x 10−48

Answers

The quotient of the given problem using laws of exponents is; 6 * 10⁰

How to use the law of exponents?

We want to express the quotient of the quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.

This is;

(30 * 10⁻²⁴)/(5 * 10⁻²⁴)

Now, we can break this down into like terms to get;

(30/5) * (10⁻²⁴/10⁻²⁴)

= 6 * 1

Now, 1 can also be written as;

10⁰ = 1

Thus, the solution of the given problem is; 6 * 10⁰

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About how many times greater is the number
8.4493E13 than the number 7.994E-2 when
displayed on a calculator?

Answers

The number of times the number 8.4493E13 isgreater than the number 7.994E-2 when displayed on a calculator is 1.05696E15.

How do we use division to get the number times a number is greater than the other?

8.4493E13 = 84,493,000,000,000

7.994E-2 = 0.07994

The number of times the number 8.4493E13 isgreater than the number 7.994E-2 can be obtained by dividing 8.4493E13 by 7.994E-2 as follows:

Number of times greater = 8.4493E13 / 7.994E-2 = 84,493,000,000,000 / 0.07994

Number of times greater = 1,056,955,216,412,310

When displayed on a calculator, we will have:

Number of times greater = 1.05696E15

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Find the distance between the two points (9,1), (-8,7)

Answers

Step-by-step explanation:

use distance formula for answer

Which axis is triangle ABC reflected across?

Answers

Triangle ABC is reflected across the y-axis. The two congruent triangles are mirrored across the y-axis, thus they are reflected.

Question 6: Give the translation rule, any coordinate point will shift 4 units to the left and rise up 8 units.

Triangle ABC is reflected across the y-axis. The two congruent triangles are mirrored across the y-axis, thus they are reflected.

6: Give the translation rule, any coordinate point will shift 4 units to the left and rise up 8 units.

What is the  translation rule

The translation rule describes how each coordinate point of the original triangle ABC moves to form the reflected triangle after the reflection across the y-axis.

To reflect a triangle across the y-axis, all you need to do is change the sign of the x-coordinate while keeping  the y-coordinate the same. Using this rule, every point on the original triangle ABC will move 4 units to the left and go up 8 units to create the reflected triangle A'B'C' after the reflection.

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The graph of y = |x +4|-8 is reflected across the y-axis and then translated down 2 units. What is an equation of the transformed graph?
O A. y = -|x +4|-10
O B. y= |4 - x|-6
O C. y = -|x + 4|-6
D. y= |4 - x|-10

Answers

The equation of resulting graph upon undergoing the transformations as described in the task content is; Choice B; y= |4 - x|-6.

What is the equation of the resulting graph formed from the transformations as described in the task content?

It follows from the task content that the equation of the transformed graph be determined.

First, since the graph is reflected over the y-axis, the x-value becomes negative as; -x.

Hence, the resulting equation is;

y = |-x + 4|-8

y = |4 -x|-8

Also, when the graph is translated 2 units down; we have;

y -2 = |4 -x|-8

y = |4 -x|-8 +2

y = |4 -x| -6

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what number is equal to 4 hundreds 3 tens 7 ones and 19 thousandths

Answers

Answer:437.019

Step-by-step explanation:

If you add together

4 hundreds-400

3 tens-30

7 ones-7

19 thousandths-0.019

It equals 437.019

You are solving a measurement problem where the numbers 4.514 x 10^−3, 3.09 x 10^7, and 2.80 x 10^3 are multiplied. How many significant digits should the product have?

Answers

The significant digits from the product of the values are 7

What are significant digits?

It is important to note the following;

Non-zero digits are always significantZeros between two significant digits are also significant

Given the values;

4.514 x 10^−33.09 x 10^72.80 x 10^3

Let's find the product

4.514 x 10^−3 × 3.09 x 10^7 × 2.80 x 10^3

39. 055128 × 10^-3 + 7 + 3

39. 055128  × 10^7

The significant digits are 7

Thus, the significant digits from the product of the values are 7

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what is the slope intercept form of y=-3x+1

Answers

Answer:that is the slope intercept form

Step-by-step explanation: slope intercept form is y=mx+b

Need help on question 6!!!

Answers

I think I know…
X = 3
XY = 25
YX = 3
Let me know and anyone else out there, correct me I have no clue…

You are solving a measurement problem where the numbers 3.021 x 109 and 1.0482 x 10−4 are divided. How many significant digits should the quotient have?

2
3
4
5

Answers

The number of significant digits the quotient should have is 5. Option D

What are significant digits?

Significant digits are important single digits from 0 to 9 in the coefficient of an expression.

They are also known as meaningful digits.

Significant figures or digits are the zeros that occur between any two non zero digits.

From the information given, we have;

3.021 x 109 1.0482 x 10−4

Let's take the quotient

3.021 x 10^9 /1.0482 x 10^−4

This gives;

2. 88208 × 10^13

We can see that the number of significant digits are 5

Thus, the number of significant digits the quotient should have is 5. Option D

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An angle and a ray are drawn on a piece of paper, what is the maximum number of
points at which the two figures could intersect?
A. 0
B. 1
C. 2
D. 3
E. infinitely many

Answers

b, because since it’s a ray, there has to be a point on the angle where it intersects so i can only intersect once
B is going to be your answer

Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
Perimeter:
Área:

Answers

The area and Perimeter of (ΔABC) are respectively; 17.5 square units and 24.16 units

What is the area and Perimeter of the Triangle?

The formula for the area of a triangle ABC with 3 coordinates is;

Area (ΔABC) = (¹/₂) |x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|

The coordinates are;

(x₁, y₁) = (-6, 6)

(x₂, y₂) = (2, 3)

(x₃, y₃) = (-3, -2)

Thus;

Area (ΔABC) = (¹/₂) |-6(3 − (-2)) + 2(-2 − 6) + -3(3 − 6)|

Area (ΔABC) = (¹/₂)|-30 - 16 + 9|

Area (ΔABC) = ¹/₂ * |-35|

We are taking absolute value and so;

Area (ΔABC) = ¹/₂ * 35

Area (ΔABC) = 17.5 square units

To get the perimeter, we will use distance formula between two coordinates and we have;

AB = 8.544

BC = 7.071

AC = 8.544

Thus;

Perimeter = 2(8.544) + 7.071

Perimeter = 24.16 units

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In the figure below, m Z1=(x+88)° and m2=3x°.
Find the angle measures.
J
1
2
m21=
m42=

Answers

Answer:

m<1 = 111 degrees, m<2 = 69 degrees

Step-by-step explanation:

The measure of angles 1 and 2 are supplementary, (two angles adding up to 180 degrees). Using this, set up the equation:

x + 88 + 3x = 180  

4x = 108

x=23 degrees

Next, substitute 23 into the given angles:

m<1 = (23 + 88) = 111 degrees

m<2 = 23 * 3 = 69 degrees

Thus, m<1 = 111 degrees, m<2 = 69 degrees. Hope this helps

a concert manager counted 650 ticket receipts the day after a concert. the price for a student ticket was $11.50, and the price for an adult ticket was $13.00. the register confirms that $8,112.50 was taken in. how many student tickets and adult tickets were sold?

Answers

Based on the calculations, the number of student tickets and adult tickets that were sold are 225 tickets and 425 tickets respectively.

Given the following data:

Total ticket receipts = 650 tickets.

The price for a student ticket = $11.50.

The price for an adult ticket = $13.00.

Total revenue = $8,112.50.

Let T represent the total ticket.Let S represent price for a student ticket.Let A represent price for an adult ticket.Let R represent the total revenue.

What is an expression?

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

How many student tickets and adult tickets were sold?

In order to determine the number of student tickets and adult tickets that were sold, we would translate the word problem into an algebraic expression as follows:

A + S = 650                              ......equation 1.

11.5S + 13A = 8,112.50              ......equation 2.

From eqn. 1, we have:

S = 650 - A                          ......equation 3.

Substituting eqn. 3 into eqn. 2, we have:

11.5(650 - A) + 13A = 8,112.50

7,475 - 11.5 A + 13A = 8,112.50

1.5A = 8,112.50 - 7,475

1.5A = 637.5

A = 637.5/1.5

A = 425 tickets.

For the student tickets, we have:

S = 650 - A

S = 650 - 425

S = 225 tickets.

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What additional information is obtained from an ordinal scale compared to a nominal scale?

Answers

An ordinal scale provides more information than a nominal scale since values linked with an ordinal variable will be in natural order, whereas values connected with the nominal variable won't.

Types of Variables:

Ordinal variables as well as nominal variables are the two categories of variables listed here. This sort of variable cannot be submitted to the same forms of statistical tests as interval and ratio variables, hence it is crucial to be able to recognize them accurately. Both of these variables fall within the qualitative category. This contrasts with interval as well as rate variables, both of which are categorized as quantitative.

An illustration of an ordinal variable is a Likert scale with words for mood (such as joyful, neutral, or sad). An illustration of a nominal variable is the names of cities in the Canadian province of Alberta.

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2 1/5 divided by 5/7

Answers

Answer: 3.08

Step-by-step explanation: hope this helps!!!!

Answer:

3.08 or 77/25

Step-by-step explanation:

I find answering this problem easiest if you use paper and Thats what I used

2 1/5/ 5/7 = 77/25= 3 2/25= 3.08

Spelled result in words is seventy-seven twenty-fifths (or three and two twenty-fifths).

Simplify 4G+ 16H - 8J = 32.
Select one:

O a. G + 4H-2J = 8
O b. G + 4H-2J = 32
O c.
2G+8H4J = 16
O d.
4G+ 2H-J = 4
O e. 12(G+ H-J) = 32

Answers

A you can divide all terms by 4

Find the axis of symmetry of y=x^2

Answers

Answer:

Step-by-step explanation:

x^2 cannot be negative so the minimum value of x^2 is at (0.0)

When x = -1 y = 1 and when x = 1 y = 1

- and so on for all values of x

SO, y = x^2 is symmetrical about the y axis.

and the axis of symmetry is the y axis or we can write it as the line x = 0.

Olivia purchases gifts for her mom and grandma for Mother’s Day the first pair as a pair of sunglasses for $16.35 and the second is a bracelet your total is 39 and $.75 how much did she spend on the bracelet

Answers

Olivia purchases gifts for her mom and grandma for Mother's Day. The  linear equations in first is a pair of sunglasses for $16.35 and the second is a bracelet. Her total spend $39.75.

She spend $23.4 on the bracelet.

Given that

Olivia purchases gifts for her mom and grandma for Mother’s Day.The  linear equations first is a pair of sunglasses for $16.35 and the second is a bracelet.She used total $39.75 for gifts.

o find

How much did she spend on the bracelet?

So, according to the question

We have

Total amount spend by her = $39.75.The amount of the pair of sunglasses = $16.35.

So, we can say that

The amount of bracelet = Total amount spend by her - The amount of the pair of sunglasses

Now, putting the all given values,

So, we get

                                             = $(39.75 - 16.35)

    The amount of bracelet = $ 23.4        

                                 

She spend $ 23.4 on bracelet for Mother’s Day.

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last one for this type of equation

Answers

Answer:

a.

t=11

A=210-14(11)

A=210-154

A=56

$56 left

b.

A=0

0=210-14t

14t=210

t=210/14

t=15

in 15 trips he'd be broke

subtract 2a-3b from b-a

Answers

Answer:

Answer: (2a+3b)-(a+b) = a + 2b.

Answer:

-2a² - 3b² + 5ab

Step-by-step explanation:

(b-a) - (2a-3b)

= b(2a-3b) -a(2a-3b)

= 2ab - 3b² - 2a² + 3ab

= -2a² - 3b² + 3ab + 2ab

= -2a² - 3b² + 5ab

4(8)÷2(3)-10
explain please

Answers

Answer: 38

Step-by-step explanation:

4*8 =32

32/2=16

16*3=48

48-10=38

a rectangle has a width w and a length that is two more than its width. what is the perimeter of the rectangle? write and simplify an expression. a general expression for the perimeter is (select) . the simplified expression i

Answers

The perimeter of the rectangle is 4 + 4w, where w is the width of the rectangle.

In this question,

a rectangle has a width w

Let l be the length of the rectangle.

A  length that is two more than its width.

⇒ l = 2 + w

We know that the perimeter of the rectangle is P = 2 × (length + width)

So, for the length l = 2 + w and width w, the perimeter of the rectangle would be,

P = 2 × (w + (2 + w))

We simplify above expression.

P = 2 × (2 + 2w)

P = 4 + 4w

Therefore, the perimeter of the rectangle is 4 + 4w, where w is the width of the rectangle.

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Which of the following is not a function? (There may be more than one answer). Explain Clearly.

Answers

Answer:

Function A is a function because the inputs on the table do not repeat any number, implying that each input has exactly one output. Function B is not a function because the inputs show that the number 6 is repeated. Function C is not a function because if we make a table, we can see that numbers repeat on the input, so Function C is not a function. Function D is a function because it would pass the vertical line test because no lines overlap with each other or have the input repeating.

Using the function concept, it is found that relations b and c does not represent a function.

When does a relation represents a function?

A relation represents a function when each value of the input is mapped to only one value of the output.

On a graph, it means that each value of x is mapped to only one value of y, that is, there are no vertically aligned points on the graph.

For this problem, relation c does not represent a function, as there are multiple values of x are related to two values of y, and there are vertically aligned points on the graph.

In item b, when x = 6, there are two values of y, hence this is also not a function.

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Solve for the value of t.
Answer: t =
(6t+6)°
(7t-7)⁰
Submit Answer

Answers

Step-by-step explanation:

t = 7°

Use angles on a straight line add up to 180°.

Make a table of ordered pairs for the equation.



y=12x−3

Answers

Answer:

slope:12

Step-by-step explanation:

I HOPE IT HELP YOU

0_<

Answer:

12

Step-by-step explanation

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