is (-a + b)² = a² - 2ab + b² right or wrong, and why?

To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.

The expression given in the problem is,

[tex]p=6q +7[/tex]

This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,

[tex]p+7=6q +7-7\\p+7=6q[/tex]

Divide both side of equation with number 6.

[tex]\dfrac{p+7}{6}=q[/tex]

Rewrite the equation as,

[tex]q=\dfrac{p+7}{6}[/tex]

Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

Learn more about the unknown variable here;

https://brainly.com/question/1235185

#SPJ1

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

Reasons:

The data in the table are presented as follows;

[tex]\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right][/tex]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ $24

Learn more about insurance premiums here:

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Answer:

$24 or D, Hope this helps :D

Step-by-step explanation:

Answer:

Exactly One Solution

Step-by-step explanation:

4x + 2 = x + 8

3x = 6                Simplify.

x = 2                  Divide by 2.

Answer:

One solution, x = 2

Step-by-step explanation:

4x + 2 = x + 8 (Given)

4x = x + 6

(The 2 is subtracted from the right side, therefore the left side is also subtracted. 8 becomes 6.)

3x = 6

(The x is subtracted from the right side to the left side. Thus turning the 4x into 3x)

x = 2

(The 3 is divided out to get x alone. So, the 6 has to be divided by 3 as well, turning it into 2)

The equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3

Given the equation 6x + 3y = 9, the equation if when graphed with this equation will give an infinite number of solutions must be the same as the given equation.

Note that the coefficient of the variables may be different by a scale factor.

To get the required equation, we will divide the equation through by 3 as shown;

Divide through by 3;

6x/3 + 3y/3 = 9/3

2x + y = 3

Hence the equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3

Learn more on systems of equations here:https://brainly.com/question/847634

Answer: A

Step-by-step explanation:

Answer:

My earlier answer was deleted, so I'm reposting.  The only thing I can think happened is that I included a link to a free bar chart program, which I used for the attached chart.

Step-by-step explanation:

Make your own chart or find an online bar chart utility.  I was unable to properly label the title and axes on my chart, so modify these properties.

Answer:

5

7

..................

Answer:

y equals -2x -7

y equals 3/4 x plus 2 1/2

Answer:

8/37

Step-by-step explanation:

People who wants iced tea = 45 - 8

People who wants lemonade = 8

8 (lemonade) / 37 (iced tea)

Answer:

reflect

Step-by-step explanation:

dilate means bigger or smaller than the original.

Answer:

the answer is 300

Step-by-step explanation:

30x10=300

If [tex] \: R = 20[/tex]

Then, [tex] \: 10r = 10 \times R \\ = 10 \times 30 \\ = 300[/tex]

Answer:

79 m

Step-by-step explanation:

We know that

Perimeter of rectangle = 2(l + b)

=> 288 = 2(l + 65)

=> 288/2 = l + 65

=> 144 = l + 65

=> 144 - 65 = l

=> 79 = l

Hence,

Length of rectangle is 79 m

Answer:

Length of parking lot = 79m

Explanation:

2 × length + 2 × breadth = perimeter of rectangle

2 × length + 2 × 65 = 288

2 × length + 130 = 288

2 × length = 288 - 130

= 158

length = 158 ÷ 2

= 79

Answer:

Answer below

Step-by-step explanation:

basically, what should we multiply each term by to get next term

18 times what=12

what=12/18=2/3

12 times what=8

what=8/12=2/3

common ratio is 2/3

_____________________________________________________

(hope this helps can I pls have brainlist (crown)☺️)

Answer:

$39.36

Step-by-step explanation:

Can find how much the sales tax cost:

32 x 0.08 = $2.56

Can also find out how much he tipped:

32 x 0. 15 = $4.80

Total = $32 + sales tax + tip

Total = $32 + $2.56 + $4.80

Total = $39.36

Answer:

$39.36 in total

Step-by-step explanation:

32×0.08= 2.56

32×0.15= 4.8

4.8+2.56= 7.36

32+7.36=39.36

Answer:

Step-by-step explanation:

by the property of corresponding angles (2x +16) and (3x-12) will be equal

working uot from the equation 3x-12 = 2x+16 we get x=28

and we know that 3x-12 and y are supplementry as they form a linear pair

from that we will get the equation - 3x-12 + y = 180 and we know the value of x sowe will get y as 108

Answer:

1a

Step-by-step explanation:

8000*0.25=2000

2000*0.25=500

500*0.25=125

...

A, or f(x) = 8,000(1/4)^x

8,000 is our starting number since number of half lives is our x, and at x = 0, remaining amount of substance is equal to 8,000. As we can see on the graph, the number decreases by a quarter of its original value every time. Since the number is not getting bigger, we use a fraction instead of a whole number. Finally, the exponent makes sure that it’s a quarter of the product from before.

Hope this helps!

[tex]\huge \bf༆ Answer ༄[/tex]

At first Divide the figure into two rectangles, I and Il

Area of figure l is ~

Area of figure ll is ~

Area of whole figure = Area ( l + ll )

that is equal to ~

(i)Given number = 8000

=8 × 1000

= 8×10³

The standard form of 8000 is 8×10³

(ii)Given number = 0.00000000094

⇛ 94/100000000000

⇛ 94/10¹¹

On multiplying and dividing with 10 then

⇛ (94/10¹¹)×(10/10)

⇛ (94/10)×(10/10¹¹)

⇛ 9.4 × (1/10¹⁰)

⇛ 9.4/10¹⁰

⇛ 9.4×10^-10

The standard form of 0.00000000094 = 9.4×10^-10

(iii) Given number = 467.5

⇛ 4675/10

On multiplying and dividing with 1000 then

⇛ (4675/10)×(1000/1000)

⇛ (4675/1000)×(1000/10)

⇛ 4.675 × 100

⇛ 4.675×10²

The standard form of 467.5 = 4.675×10²

(iv) Given number = 50200000000000

⇛ 502×100000000000

On multiplying and dividing with 100 then

⇛ (502/100)×100000000000×100

⇛ 5.02 ×10000000000000

⇛5.02 × 10¹³

The standard form of 50200000000000 is

5.02 × 10¹³

(v)Given number = 0.00000005837

⇛ 5837/100000000000

On multiplying and dividing with 1000 then

⇛ (5837/1000)×(1000/100000000000)

⇛ 5.837/100000000

⇛ 5.837/10⁸

⇛ 5.837×10^-8

The standard form of 0.00000005837 is 5.837×10^-8

(vi) Given number = 71860000000

⇛7186×10000000

On multiplying and dividing with 1000 then

⇛ (7186/1000)×10000000×1000

⇛ 7.186×10000000000

⇛ 7.186×10¹⁰

The standard form of 71860000000 is 7.186×10¹⁰

Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500

The profit made from each unit sold can be found as:

= Market price - Average cost

= 14 - 9

= $5

The total profit would therefore be:

= Profit per unit x Number of units sold

= 5 x 500

= $2,500

In conclusion, the profit per unit is $5 and the total profit is $2,500

Find out more about profit per unit at https://brainly.com/question/25531124.

Answer: C. linear

Step-by-step explanation:

Since the raise is going to be a constant amount, a 4% raise, the model will be linear.

Correct me if I am incorrect.

no clue

Step-by-step explanation:

...................

Answers:

1. 4/7

2. DIVIDE – 3 ½ ÷ ¼ = 14 hamburgers

3. 2 5/6

4. 3

5. 6 9/26

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathbf{\boxed{\textsf{EQUATION }\rightarrow \mathbf{[?]}} \times 22 = 22,000}}[/tex]

[tex]\large\textbf{Lets solve the choices into the equation to see which}\\\large\textbf{one will fit with the answer (22,000)}[/tex]

[tex]\large\boxed{\boxed{\bf 10^3}\times\bf 22}\\\large\boxed{= \boxed{\bf 10\times10\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100\times10}\times\bf 22}\\\large\boxed{= \boxed{1\bf ,000}\times\bf 22}\\\large\boxed{= \bf 22,000}\\\\\\\\\large\boxed{\mathbf{22,000 = 22,000}}\\\large\text{Thus, this means Option A. could possibly be your answer.}[/tex]

[tex]\large\boxed{\boxed{\bf 10^5}\times\bf22}\\\large\boxed{= \boxed{\bf 10\times10\times10\times10\times10}\times\bf 22}\\\large\boxed{=\boxed{\bf 100\times100\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 10,000\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100,000}\times\bf 22}\\\large\boxed{ = \bf 2,200,000}\\\\\\\\\large\boxed{\bf 2,200,000 \neq 22,000}\\\large\text{Thus, this means Option B. isn't your answer}[/tex]

[tex]\large\boxed{\mathbf{\boxed{\mathbf{10^2}} \times 22}}\\\large\boxed{= \boxed{\bf 10\times10} \times \bf 22}\\\large\boxed{= \boxed{\bf 100}\times \bf 22}\\\large\boxed{\mathbf{= 2,200}}\\\\\\\\\large\boxed{\mathbf{2,220 \neq 22,000}}\\\large\text{Thus, this means Option C isn't your answer}[/tex]

[tex]\large\boxed{\boxed{\bf 10^4}\times\bf 22}\\\large\boxed{= \boxed{\bf 10\times10\times10\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100\times100}\times\bf 22}\\\large\boxed{= \boxed{\bf 10,000}\times \bf 22}\\\large\boxed{= \bf 220,000}\\\\\\\\\large\boxed{\bf 220,000\neq 22,000}}\\\large\text{Thus, this means Option D. isn't your answer}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{10^3}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]