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3 years ago

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Function 1 is defined by the equation p= --3/2r - 5. function 2 is defined by the following table. Which function has a greater

y-intercept. A: Function 1 B: Function 2 C: The functions have the same y-intercept.

1 answer:

Rus_ich [418]3 years ago

6 0

0-5. Here’s your answer

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Find the value of L. Perimeter =22. Width is 5. So what is L. On a square

SSSSS [86.1K]

P= L+W
P= Perimeter, L= Length and W=Width
Length + Width = Perimeter
So, then P(22) - W(5) = L(17)
Hope that helps.

4 0

3 years ago

Two linear functions of x are shown. Which Statement about the functions is true?

kolbaska11 [484]

Answer:

OPTION D: The rate of change of Function 2 is less than that of Function 1.

Step-by-step explanation:

From the table, we will determine the equation of function 2.

From the table, g(1) = 14 & g(-3) = - 86

Since, it is a linear function it should have been of the form, y = a + bx.

We will denote Function 2 as g(x).

So, g(1) = 14 = a + b . . . (1)

And g(-3) = -86 = -3a + b . . . (2)

From (1), a = 14 - b

Substituting this in (2), we get:

-86 = -3(14 - b) + b

⇒ - 86 = - 42 + 4b

⇒ - 44 = 4b

⇒ b = -11

So, a = 14 - (-11)

⇒ a = 25

So, equation of function 2 is: y = 25 - 11x.

Hence, Option A and B are eliminated.

In a linear equation of the form, y = ax + b, y - intercept = b.

So, in function 1, y - intercept = 19

And in function 2, y - intercept = -11

Clearly, OPTION C can be eliminated.

Now, rate of change of Function 1 = $\frac{dy}{dx} = 30$

and rate of change of Function 2 = $\frac{dy}{dx} = 25$

Therefore, we can say that the rate of change if function 2 is less than that of function 1.

Option D is our answer.

5 0

3 years ago

Which equation represents a line that passes through the point (−2, 6) and is parallel to the line whose equation is 3x − 4y = 6

mart [117]

Method 1: Realize that the desired equation will look exactly the same as the given equation 3x − 4y = 6, except that the constant will be different.

Thus, the equation of the new line is 3(-2) − 4(6) = C, where C comes out to 30.

Then the new line is 3x - 4y = 30.

8 0

3 years ago

Solve the equation (3x2)(3x4)=36

kodGreya [7K]

Answer:

The solution to the equation will be:

$x=\sqrt[3]{2},\:x=-\sqrt[3]{2}$

or

$x = 1.26$ , $x = -1.26$

Step-by-step explanation:

Given the expression

$\left(3x^2\right)\left(3x^4\right)=36$

simplify

$9x^6=36$

Divide both sides by 9

$\frac{9x^6}{9}=\frac{36}{9}$

$x^6=4$

$\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}$

$x=\sqrt[6]{4},\:x=-\sqrt[6]{4}$

solving

$x=\sqrt[6]{4}$

$=\sqrt[6]{2^2}$

Apply exponent rule: $\left(a^b\right)^c=a^{bc}$

$=\sqrt[6]{2^2}=2^{2\cdot \frac{1}{6}}$

$=\sqrt[3]{2}$

$= 1.26$

Thus,

$x=\sqrt[3]{2}$ (or $x = 1.26$ )

similarly solving

$x=-\sqrt[6]{4}$

$x=-\sqrt[3]{2}$ or ( $x = -1.26$ )

Therefore, the solution to the equation will be:

$x=\sqrt[3]{2},\:x=-\sqrt[3]{2}$

or

$x = 1.26$ , $x = -1.26$

6 0

3 years ago

Read 2 more answers

Help help helpppp

lana [24]

The solution to the absolute value inequality is given by the second graph.

<h3>What is the absolute value function?</h3>

The absolute value function is defined by:

|x| = x, x >= 0.

|x| = -x, x < 0.

It measures the distance of a point x to the origin.

In this problem, the inequality is:

|x| + 4 > 7.

Hence:

|x| > 7 - 4

|x| > 3.

This means that the distance of x to the origin is greater than 3, that is, x is less than -3 or greater than 3, hence the second graph is correct.

More can be learned about the absolute value function at brainly.com/question/24734454

#SPJ1

5 0

2 years ago