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3 years ago

Is The equation shown below a proportional equation? Y= 19x - 5

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

3 0

9514 1404 393

Answer:

Step-by-step explanation:

For a linear equation to represent a proportion, the y-intercept must be zero. Here, the value of y for x=0 is -5, not 0.

The equation DOES NOT represent a proportional relationship.

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My favorite Pokemon card has a mass of about one and a half

s344n2d4d5 [400]

Answer:

grams cause its is really small

7 0

3 years ago

HELPPPP!!!! Need the answer ASAP!!

Greeley [361]

Given that the functions $f(x)=x+4$ and $g(x)=x^{3}$

We need to determine the value of the function $(g \ {\circ} f)(-3)$

First, we shall determine the composition of the function $(g \circ f)(x)$

Function $(g \circ f)(x)$ :

Let us determine the function $(g \circ f)(x)$

Thus, we have;

$(g \circ f)(x)=g[f(x)]$

$=g[x+4]$

$=(x+4)^3$

$(g \circ f)(x)=x^3+3x^2(4)+3x(4)^2+(4)^3$

$(g \circ f)(x)=x^3+12x^2+48x+64$

Thus, the function is $(g \circ f)(x)=x^3+12x^2+48x+64$

Value of the function $(g \ {\circ} f)(-3)$ :

The value of the function can be determined by substituting x = -3 in the function $(g \circ f)(x)=x^3+12x^2+48x+64$

Thus, we have;

$(g \circ f)(-3)=(-3)^3+12(-3)^2+48(-3)+64$

Simplifying the terms, we get;

$(g \circ f)(-3)=-27+12(9)+48(-3)+64$

$(g \circ f)(-3)=-27+108-144+64$

$(g \circ f)(-3)=1$

Thus, the value of the function $(g \ {\circ} f)(-3)$ is 1.

8 0

3 years ago

13. What are the x-intercepts of y = 2x2 + 6x - 20?

Brilliant_brown [7]

Answer:

x = -5, 2

Step-by-step explanation:

The first step to factor the equation is removing any factors/like terms that all of the variables share.

In the equation $y = 2x^2+6x-20$ , all numbers are multiples of 2, therefore you can factor out 2 from to equation

$y = 2(\frac{2x^2}{2} + \frac{6x}{2} -\frac{20}{2})$

$y = 2(x^2+3x-10)$

Next, you can factor the equation in the parenthesis. Since x^2 is not multiplied by anything, you know that the factors of x^2 must be x and x. Therefore, the two factors of -10 must add up to 3. The only two factors of -10/x that add up to 3 are 5 * -2.

The factors of the equation are then (2)(x+5)(x-2)

Lastly, set up only the factors containing a x to 0 in order to solve for x-intercept.

x+5 = 0; x= 0-5 ; x = -5

x - 2 = 0; x = 0 + 2; x = 2

7 0

3 years ago

Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough?

mixas84 [53]

Answer: Each piece is 1 2/3 inch length.

Step-by-step explanation:

Total length of cookie dough =10-inch

Since it is being into divided into 6 equal-length pieces

We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.

6 0

3 years ago

The endpoints of a line segment are (4,6) and (-6,2). Point G divides the segment into two equal parts. What are the coordinates

-BARSIC- [3]

Answer:

(-1, 4)

Step-by-step explanation:

Given the endpoints of line segments to be (4,6) and (-6,2).

Coordinate of point G is expressed as its midpoint;

M(X, Y) = {x1+x2/2, y1+y2/2}

X = 4-6/2

X = -2/2

X = -1

Y = 6+2/2

Y = 8/2

Y = 4

Hence the coordinate of point G is (-1, 4)

8 0

3 years ago