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3 years ago

Trendy Time race carts charges $25 plus $1.50 per lap. Which best describes the relationship between the

1 answer:

4 0

This is a linear, non-proportional relationship.

It is linear because there is a constant slope, or rate of change.

It is not proportional because it does not go through the origin. The y-intercept would be the $25 starting fee.

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Describe the continuity of the graphed function

marusya05 [52]

we know that

Any function f(x) is continuous at x=a only if

$\lim_{x \to a-} f(x) = \lim_{x \to a+} f(x)=f(a)$

We can see that this curve is smooth everywhere except at x=3

so, we will check continuity at x=3

Left limit is:

$\lim_{x \to 3-} f(x) = -\infty$

Right limit is:

$\lim_{x \to 3+} f(x) = +\infty$

Functional value:

$f(3)= DNE$

we can see that left limit is not equal to right limit

so, limit does not not exist

so, this function is discontinuous at x=3

Since, limit does not exist

so, there will be non-removal discontinuity at x=3

so, option-C........Answer

5 0

3 years ago

Line segment AB is reflected across the y–axis to form line segment CD. Then, line segment CD is rotated 90° clockwise about the

Maksim231197 [3]

Answer:

The coordinates of EF are E(5,-4) and F(1,-4).

The line segment EF is in QIV

Step-by-step explanation:

The line segment AB has vertices at: A(-4,5) and B(-4,1).

We apply the rule $(x,y)\to (-x,y)$ to reflect AB in the y-axis to obtain CD.

$\implies A(-4,5)\to C(4,5)$

$\implies B(-4,1)\to D(4,1)$

We apply the rule $(x,y)\to (y,-x)$ to rotate CD 90 degrees clockwise about the origin to obtain EF.

$\implies C(4,5)\to E(5,-4)$

$\implies D(4,1)\to F(1,-4)$

The coordinates of EF are E(5,-4) and F(1,-4).

See attachment

4 0

3 years ago

What is the binomial expansion of (x 2y)7? 2x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5 14xy6 2y7 x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5

AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

The expansion of given expression is given by:

Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is

<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

$(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}$

<h3>How to use binomial theorem for given expression?</h3>

Taking a = x, and b =2y, we have n = 7, thus:

$(x+2y)^7 = \: ^7C_0x^0(2y)^7 + \: ^7C_1x^1(2y)^6 + \: ^7C_2x^2(2y)^5 + \: ^7C_3x^3(2y)^4 + \:^7C_4x^4(2y)^3 + \:^7C_5x^5(2y)^2 + \:^7C_6x^6y^1 + \: ^7C_0x^7y^0\\\\
(x+2y)^7 = 128y^7 + 448xy^6 + 672x^2y^5 + 560x^3y^4 + 280x^4y^3 + 84x^5y^2 + 14x^6y + x^7\\\\
(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$

Thus, Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

6 0

3 years ago

What is the total area of this polygon? O 77 sq cm O 86 sq cm 96 sq cm O 108 sq cm

Oksanka [162]

Answer:

Step-by-step explanation:

7 0

2 years ago

Go step by step to reduce the radical of the equation given. (Figure the step for the box)

Rama09 [41]

$\sqrt{32} ~~ \begin{cases} 32=2\cdot 2\cdot 2\cdot 2\cdot 2\\ \qquad 2^4\cdot 2\\ \qquad 2^{(2)(2)}\cdot 2\\ \qquad (2^2)^2\cdot 2 \end{cases}\implies \sqrt{(2^2)^2\cdot 2}\implies 2^2\sqrt{2}\implies 4\sqrt{2}$

7 0

1 year ago