This scale has a meaningful zero point and equal intervals; therefore, it can be manipulated by all mathematical principles
A. Interval scale
B. Nominal scale
C,.Ordinal scale
D. Ratio scale

~Shoto Todoroki here~

Y=(x+4)(−x+6)

Hope this helps :D

The number of unit tiles needed to be added to the expression [tex]x^2 + 4x + 3[/tex] for making it perfect square trinomial is: Option A: 1

If a polynomial p(x) can be written as:

[tex]p(x) = [f(x)]^2[/tex]

where f(x) is also a polynomial, then p(x) is called as perfect square polynomial.

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example: [tex]x^2 + 3x + 4[/tex] is a polynomial consisting 3 terms as [tex]x^2 ,3x , \rm and \: 4[/tex]

The given trinomial is [tex]x^2 + 4x + 3[/tex]

Since the tiles are added to be in unit and positive(1, 2, 3, or 4), thus, let it be denoted by z, then:

[tex]x^2 + 4x + 3 + z = (x+a)^2[/tex]

since z is added such that the specified trinomial becomes perfect square trinomial, and since its degree is 2, so it must be product of two linear polynomials, and since coefficient of x in given trinomial is 1, so we kept the coefficient of linear polynomial as 1

Now, expanding the obtained equation, and comparing the coefficients, we get:

[tex]x^2 + 4x + 3 + z = (x+a)^2\\x^2 + 4x + 3 + z = x^2 + a^2 + 2ax\\[/tex]

Thus, from comparison of coefficients of like terms and constants, we get:

[tex]2a = 4\implies a = 2\\3 + z = a^2 = 2^2 = 4\\z = 1[/tex]

Thus, the number of unit tiles needed to be added to the expression [tex]x^2 + 4x + 3[/tex] for making it perfect square trinomial is: Option A: 1

Learn more about perfect square trinomials here:

https://brainly.com/question/88561

Answer:

A.) 1

Step-by-step explanation:

Edge 2022

Answer:

it will take the second crocodile 60 seconds

The time it will take the second crocodile to finish it's snack is; 120 s

Let x represent the rate of the first crocodile and let y represent the rate of the second crocodile.

The two crocodiles working together can finish a snack in 40 seconds. Thus;

(1/x + 1/y)40 = 1

It takes one of the crocodiles 60 seconds to finish it's snack. Thus;

(1/x + 1/60)40 = 1

40/x + 2/3 = 1

x = 120 seconds

Read more about rate of work at; https://brainly.com/question/12442233

Answer:

The answer is 240

Step-by-step explanation:

Base x height

Answer:

x = 9 in.

Step-by-step explanation:

In similar figure, the ratio of corresponding sides are always equal.

so,

[tex] \frac{x}{1} = \frac{12}{8} \\ \\ \frac{x}{6} \times 6 = \frac{12}{8} \times 6 \\ \\ x = \frac{72}{8} \\ \\ x = 9 \: inches[/tex]

Answer:

Step-by-step explanation:

Answer:

r = sqrt(16/pi)

Step-by-step explanation:

Cylinder formula = r^2 x pi x height

176 pi/11pi = 16

16 = r^2 x pi

16/ pi = r^2

r = sqrt(16/pi)

If the value of x increases then the value of y decreases. Then the correct option is B.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

For the inverse variation function

[tex]\rm y = \dfrac{k}{x}[/tex]    (where x, k > 0),

We know that the y is inversely proportional to the x.

Thus, if the value of x increases then the value of y decreases.

Therefore, the correct option is B.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

1/27

Step-by-step explanation:

( 1/3 )³

(1)³/(3)³

1/27

The given expression is asking to find the cube of [tex]\frac{1}{3}[/tex].

Cube facts:

Solving the expression.

[tex](\frac{1}{3} )^{3} \\ \\= > (\frac{1}{3})(\frac{1}{3} )(\frac{1}{3} )\\\\ = > \frac{(1)(1)(1)}{(3)(3)(3)} \\\\ = > \frac{1}{27}[/tex]

Conclusion:

The cube of [tex]\frac{1}{3}[/tex] in fraction form is [tex]\frac{1}{27}[/tex].

Answer:

x = 4.46

Step-by-step explanation:

1. First, isolate the x. Subtract 2.9 from both sides of the equation to get x = 4.46

Answer:

0

because there are no figure

The extraneous solution is the value of the independent variable for which the problem has no solution. x=3 is an extraneous solution.

An extraneous solution is a solution that develops from the process of addressing the problem but is not a real solution to the problem, such as an equation.

In order to know the extraneous solution, we need to find the value of x in the given equation,

[tex]\rm log_4(x)+log_4(x-3)= log_4(-7x+21)[/tex]

Using the logarithmic property,

[tex]\rm log_4[x(x-3)]= log_4(-7x+21)[/tex]

Taking the anti-log, we will get,

[tex]x(x-3)= -7x+21\\\\x^2-3x=-7x+21\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x-3)(x+7)=0[/tex]

If we substitute the factors with the 0, we will get the value of x as 3 and -7.

We know that extraneous solutions are those solutions, which when substituted in the initial equation, the equation does not return an equation.

x=3

[tex]\rm log_4(x)+log_4(x-3)= log_4(-7x+21)[/tex]

[tex]\rm log_4(x3)+log_4(3-3)= log_4(-21+21)\\\\\rm log_4(x)+log_4(0)= log_4(0)[/tex]

As the value of logₐ(0) is undefined, therefore, x=3 is an extraneous solution.

Learn more about Extraneous solutions:

https://brainly.com/question/14054707

Answer:

B. x = -3

Step-by-step explanation:

Hi! I hope you're enjoying your day!

30 and 12x have a few common factors.

Both 30 and 12x are evenly divisible by

3 (30÷3=10, and 12x÷3=4x)

6 (30÷6=5, and 12x÷6=2x)

Hence, the common factors of 30 and 12x are

[tex]\boxed{\boxed{\bold{3\;and\;6}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

Answer:

3 & 6

Step-by-step explanation:

Determine a common factor. A common factor is 2.

Divide each term by the common factor and write the results of the division in parentheses, with the factor out in front.

Determine whether you can factor out any other terms.

Simplify the answer.

Therefore 5 + 4 × (14 - 4) - 8 = 37

Answer:

1 yard

Step-by-step explanation:

1 yard is 3 feet.

hope this helps:)

Answer:

so i don't  know  the answanswer

Step-by-step explanation:

i son't  know  go  learn

Step-by-step explanation:

B = 0.08 - 0.016N

N = 3 hours 15 minutes = 3.25 hours (= 3 1/4).

so, we get

B = 0.08 - 0.016×3.25 = 0.08 - 0.052 = 0.028

Answer:

B. [tex]x^2+11x+24\leq 150[/tex]

Step-by-step explanation:

Step 1) Defining Sue and Jeremy's ages using x

Sue is 3 years older than Holly (h):

[tex]h=x+3[/tex]

Jeremy is 5 years older than Sue, or 8 years older than Holly (j):

[tex]j=x+8[/tex]

Product of Jeremy and Sue's ages is less than or equal to 150:

[tex]hj\leq 150[/tex]

Step 2) Simplifying into a single equation

Using the equation above we can substitute Sue and Jeremy's ages:

[tex](x+3)(x+8)\leq 150[/tex]

Now we can simplify this equation. Use the distributive property first:

[tex]x(x+8)=x^2+8x\\3(x+8)=3x+24[/tex]

Now add all the terms together and get the final answer:

[tex]x^2+8x+3x+24\leq 150\\x^2+11x+24\leq 150[/tex]

Final equation: [tex]x^2+11x+24\leq 150[/tex]

Answer: A.

Step-by-step explanation:

Your change in y is +1120 and your change in x is +1

1120/1 = 1120, so she is at a constant speed/rate of 1120 per minute

Answer:

26.93

Step-by-step explanation:

The right polygon is the first one scaled down by 1.33 so we can multiply the values on the 2nd one by 1.33 to get the first one.

y+1 = 21*1.33

y+1 =27.93

y=26.93

Answer:

R90

Step-by-step explanation:

120 hats sold and each = $0.50

0.50 × 120 = R60 (all the baseball hats cost)

50% of 0.50 = 0.25

0.25 × 120 = 30 (markup price)

60 + 30 = 90 ( total received for the sales)

Answer:

i think four because there are four friends so there are four pizzas in each pizza box so 4+4=8 so 8-4=4 so how did i do.

Step-by-step explanation:

Answer : X =  8/3

◊ YusuCr ◊

Answer:

okay look at the diagram and try to draw it to help you. Then look carefully at the equation and then solve it.

Step-by-step explanation:

Draw it

Label it

solve it

Let me know if u need help with other problems :)

Answer:

6.5 seconds and 13.5 seconds

Need to know:

Quadratic formula: [tex]\frac{-b +-\sqrt{b^{2} - 4ac } }{2a}[/tex]

Step-by-step explanation:

We have -0.08t² + 1.6t + 2 = 9

Subtract 9 from both sides

-0.08t² + 1.6t + 2 = 9

                      - 9   - 9

-0.08t² + 1.6t - 7 = 0

We will have to use the quadratic formula

a = -0.08

b = 1.6

c = -7

[tex]\frac{-1.6 +-\sqrt{1.6^{2} - 4(-0.08)(-7) } }{2(-0.08)}[/tex]

[tex]\frac{-1.6 +-\sqrt{2.56 - 2.24 } }{-0.16}[/tex]

[tex]\frac{-1.6 +-\sqrt{0.32 } }{-0.16}[/tex]

[tex]\frac{-1.6 +\sqrt{0.32 } }{-0.16} = 6.464466[/tex]

[tex]\frac{-1.6 -\sqrt{0.32 } }{-0.16}=13.5355[/tex]

These are the two times the balloon will be at 9 feet.

Answer:

I believe the answer is x • y = ?

Answer:

Step-by-step explanation:

A convergent series is a series whose partial sums tend to a specific number or a limit.

Example: [tex]3+1+\frac{1}{3}+\frac{1}{9}+.~.~.[/tex]

This is because a series is convergent if

[tex]-1 < r < 1[/tex]

where r is the common ratio

and for the question above

[tex]r=\frac{1}{3}[/tex]

A divergent series is a series whose partial sums do not approach a limit. Divergent series typically go to positive infinity, negative infinity, or don't approach a specific number.

Example: [tex]4+12+36+108~.~.~...[/tex]

This is a divergent series because the common ratio is;

[tex]r=\frac{12}{4} =3[/tex]

Hope this helps! =)

If you have any queries please ask.

Answer: ?

Step-by-step explanation:

This is just the number of permutations of the set {0, 0, 0, 1, 1, 1, 2, 2, 2}. There are 9 elements in the set, so there are 9! = 362,880 possible ternary strings with exactly 3 each of 0, 1, and 2.

Answer:

a

Step-by-step explanation: