The perimeter of an equilateral triangle is 15 inches more than the perimeter of a​ square, and the side of the triangle is 7 inches longer than the side of the square.

Answer:

21 because if you can add like terms

Answer:

1/30

Step-by-step explanation:

5/6 - 4/5

= 25/30 - 24/30

= 1/30

[tex]~\frak{Tsyaa01:)}[/tex]

Answer:

can you add a picture of the triangle

Step-by-step explanation:

Answer: 1/9 ==> A

Step-by-step explanation:

3^-2=

3^(-2)=

3^(-1*2)=

(3^(-1))^2=

(1/3)^2=

1^2 / 3^2 = 1/9 ==> A

The set of numbers which represents the possible number of hours for which the chemistry club could rent the meeting room is; t <= 10 hours.

It follows from the task content that the possible number of hours for which the chemistry club could rent the meeting room is to be determined.

Since the linear inequality which represents the situation in discuss can be written as follows;

4(t) +19 <= 59

where t = number of hours.

Solving the inequality, we have;

4t <= 59 - 19

4t <= 40

t <= 10 hours.

Ultimately, The set of numbers which represents the possible number of hours for which the chemistry club could rent the meeting room is; t <= 10 hours.

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We can rearrange it to the standard form perimeter a = s - b - C/2

In arithmetic, what is a perimeter?

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

The answer to your question is a = s - b - C/2

To solve for "a", we must get "a" on it's own side of the equal sign. We can first subtract "s" from both sides:

0 = a + b + C/2 - s

Then, we can subtract a from both sides:

-a = b + C/2 - s

Finally, we divide both sides by -1, so a is by itself.

a = -b - C/2 + s

And we can rearrange it to the standard form:

a = s - b - C/2

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Answer:

Step-by-step explanation:

Answer:

Together they painted 120 figurines.

Step-by-step explanation:

8(6+9)=

8(6) + 8(9) =

48 + 72

120

The value of p that makes the equation true is 4

p-9= -5(p-3)

p-9 = -5p + 15

collect the like terms

p + 5p= 15 + 9

6p= 24

Divide both sides by the coefficient of p which is 6

6p/6= 24/6

p= 4

Hence the value of p that makes the equation true is 4

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The solution of given system of equations are x = -1.146 and           x = 4.833

In this question, we have been given a system of equations.

4x^ 2 -3x+6=2x^ 4 -9x^ 3 +2x

We can write it as:

y = 4x² - 3x + 6

y = 2x^4 - 9x³ + 2x

We need to find the solution of given system of equations.

Consider the following graph of given system of equations as shown below.

In graph both the equations intersect at two points (-1.146, 14.687) and (4.833, 84.945)

Point of intersection gives the solution of the equations.

x-coordinate of the intersection of graph gives the solution because function depends on x.

Therefore, the solution of given system of equations are x = -1.146 and           x = 4.833

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The inequality graph that represents n ≤ 3 is in the diagram attached below.

An inequality can be solved just like a normal equation by finding the possible values of the variable.

Given the inequality, 6n − 18 ≤ −n + 3, combine like terms

6n − 18 + 18 ≤ −n + 3 + 18

6n ≤ - n + 21

Add n to both sides of the inequality

6n + n ≤ - n + 21 + n

7n ≤ 21

Divide both sides by 7

7n/7 ≤ 21/7

n ≤ 3

This means that the values of n are from 3 and below.

Therefore, the inequality graph that represents n ≤ 3 is in the diagram attached below.

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Answer:1/4 of robot

Step-by-step explanation:

Answer:

[tex]12 \frac{1}{4} [/tex]

Step-by-step explanation:

Put the whole numbers into the fraction

[tex] \frac{7}{2} [/tex]

Multiply 7/2 by 7/2

[tex]\frac{49}{4}[/tex]

You can simplify by making whole numbers with the fraction.

[tex]12 \frac{1}{4} [/tex]

In the graph, [tex]f(x)[/tex] is increasing in the interval (-7, -5).

What is a graph in mathematics?

A graph is a graphic that uses a line or a sequence of bars, dots, or other symbols to depict a connection between two variables, most typically sets of numbers. Whatever else is in your graph, you can't construct it without scales. A vertical scale and a horizontal scale are used in bar graphs.

From the given graph, it can be concluded that

[tex]f(x)[/tex] is increasing in the interval (-7, -5)

[tex]f(x)[/tex] is decreasing in the interval (2, 10)

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The two equations that represent the remaining angle relationships are

x = 2(y + z) - 20 and x = 3z - 20

From the question, we are to determine the two equations that represent the remaining angle relationships

From the given information, we have that

x is the largest angle, y is the next largest angle and z is the smallest angle

Also, from the information,

"The measure of the largest angle is 20 degrees less than twice the sum of the measure of the other two angles"

That is,

x = 2(y + z) - 20

and

"The largest angle is 3 times the smaller angle minus 20 degrees"

x = 3z - 20

Hence, the two equations that represent the remaining angle relationships are x = 2(y + z) - 20 and x = 3z - 20

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In the graph the Inefficient point of production is represented by the point A  , option(a)Point A is correct .

The graph given in the question is for Skateboards vs Bikers.

we need to find the point which represents the Inefficient point of Production.

The points in the Production Possibility Curve are said to be inefficient when the resources are not utilized to the fullest.

The given Production possibility curve between the Skateboards and the Bikers have Point A as the Inefficient Point .

Therefore , the point A represents the Inefficient point of production in the given Production possibility curve , the correct option is (a)Point A.

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The Pascal's Triangle expansion of (3 x-1)^4 is mathematically given as

[tex]$$\begin{aligned}&1(3 x)^4(-1)^0+4(3 x)^3(-1)^1 +6(3 x)^2(-1)^2+4(3 x)^1(-1)^3 +1(3 x)^0(-1)^4\end{aligned}$$[/tex]

This is further explained below.

Generally,  the equation for the expansion is  mathematically given as

(3 x-1)^4

Pascal's Triangle can be displayed as such:

1

1-1

1-2-1

1-3-3-1

1-4-6-4-1

The triangle can be used to calculate the coefficients of the expansion of (a+b)^n by taking the exponent n and adding 1 .

The coefficients will correspond with line n+1 of the triangle.

For (3 x-1)^4, n=4 so the coefficients of the expansion will correspond with line 5.

The expansion follows the rule

(a+b)^n=c_0 a^n b^0+c_1 a^{n-1} b^1+c_{n-1} a^1 b^{n-1}+c_n a^0 b^n

The values of the coefficients, from the triangle, are $-4-6-4-1.

[tex]$1 a^4 b^0+4 a^3 b+6 a^2 b^2+4 a b^3+1 a^0 b^4$[/tex]

Substitute the actual values of a 3 x and b-1 into the expression.

[tex]$$\begin{aligned}&1(3 x)^4(-1)^0+4(3 x)^3(-1)^1 +6(3 x)^2(-1)^2+4(3 x)^1(-1)^3 +1(3 x)^0(-1)^4\end{aligned}$$[/tex]

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

In the above question, it is given that :

[tex]\qquad \sf  \boxed{ \sf f(x) = \frac{x + 3}{2} }[/tex]

A.) Find f(2) :

[tex]\qquad \sf  \dashrightarrow \: f(2) = \dfrac{2 + 3}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2) = \dfrac{5}{2} [/tex]

or

[tex]\qquad \sf  \dashrightarrow \: f(2) = 0.5[/tex]

B.) Find [tex]{ \sf {f}^{-1}(x) } [/tex] :

[tex]\qquad \sf  \dashrightarrow \: let \: y = f (x) [/tex]

so, we can write it as :

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{x + 3}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2y = x + 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 2y - 3[/tex]

Now, put x = [tex]{ \sf {f}^{-1}(x) } [/tex], and y = x and we will get our required inverse function ~

[tex]\qquad \sf  \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3[/tex]

C.) Find [tex]{ \sf {f}^{-1}(12) } [/tex] :

[tex]\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 36- 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 33[/tex]

Answer:

30

Step-by-step explanation:

We can use similar triangles. Letting the height of the tree be x,

[tex]\frac{x}{15}=\frac{6}{3} \\ \\ x=30[/tex]

Answer:

x-4303

Step-by-step explanation:

Answer:

70

Step-by-step explanation:10 goes to 70 7 times drop down the 0 and u get 70 therefore final answer 70

The equivalent expressions of One-third + 8 d + StartFraction 5 Over 7 EndFraction are option B,D and G.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, the given expression is :

One-third + 8 d + StartFraction 5 Over 7 EndFraction

and, the expression equivalent to this are :

1) 8 d + one-third + StartFraction 5 Over 7 EndFraction

2) One-third + StartFraction 5 Over 7 EndFraction + 8 d

3) StartFraction 5 Over 7 EndFraction + one-third + 8 d

Therefore, the equivalent expressions are option B,D and G.

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The polynomial which models the company's sales in thousands of dollars will be 4.4x² + 4x.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

Sales volume for an auto manufacturer may be calculated as 7.8x² + 3.2x + 3.5 and costs as 3.4x² - 0.8x + 3.5.

The net profit by subtracting cost from sales will be

Net profit = (7.8x² + 3.2x + 3.5) - (3.4x² - 0.8x + 3.5)

Net profit = 7.8x² + 3.2x + 3.5 - 3.4x² + 0.8x - 3.5

Net profit = 4.4x² + 4x

The polynomial which models the company's sales in thousands of dollars will be 4.4x² + 4x.

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End behavior of the polynomials f(x) = 2x² + 3x + x² - 1 and  f(x) = 1 - 3x + x² is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

A) We are given the polynomial; f(x) = 2x² + 3x + x² - 1

This is a second degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

B) We are given the polynomial; f(x) = 1 - 3x + x²

This is a second degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

C)  We are given the polynomial; f(x) = 9 + x¹

This is a first degree polynomial with a positive leading coefficient. Thus, the end behavior is;  As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.

D)  f(x) = 2x + 5

This is a first degree polynomial with a positive leading coefficient. Thus, the end behavior is;  As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.

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Answer: 8.118 / 0.615 = 13.2

The total sales done by Madelyn Logan is $975,000.

Madelyn Logan earns $58,000 in total.

Madelyn Logan's total commissions are;

$58,000 - $19,000 (base salary) = $39,000.

That is, $39,000 equals 4% of her sales.

So,

0.04x = $39,000, in which x would be the total sales amount.

Then, x = $39,000 /0.04

x = $975,000.

Therefore, Madelyn Logan must sell the goods of worth $975,000. for making the amount of $58,000.

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Answer: