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3 years ago

What is the -x intercept and y-intercept of y=-2x+4

1 answer:

4 0

To find x intercept, you must set the y value equal to zero
0= -2x+4
Subtract 4
-4= -2x
Divide by -2
x=-4/-2= 4/2= 2
The x intercept is 2

To find the y intercept, you must set the x value equal to zero
y= -2(0)+4
y=4
The y intercept is 4

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11-2 (1+3x) < 39<br><br> Maths HW Please help

Paha777 [63]

Answer:

x>-5

Step-by-step explanation:

5 0

2 years ago

Which explains whether or not the function represents a direct variation?

s2008m [1.1K]

Answer:

The function represents a direct variation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m

Let

$A(0,0)$ ------> the line passes through the origin

$B(2,10)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=10/2=5$

$C(4,20)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=20/4=5$

$D(6,30)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=30/6=5$

$E(8,40)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=40/8=5$

The value of k is equal in all the points of the table and the line passes through the origin

therefore

The function represents a direct variation

the equation of the direct variation is equal to

$f(x)=5x$

4 0

3 years ago

Read 2 more answers

The length, width, and height of a rectangular prism are in the ratio 3:2:1, respectively. What is the length of the prism if it

Arturiano [62]

The three numbers have to multiply to 48 in a ratio of 3:2:1
which would be 6:4:2
so 6 inches

6 0

3 years ago

Estimate 815-281 to get the answer

Damm [24]

Answer:800-300

Step-by-step explanation:

since there is a 1 after the 8 it would go down to 800 and there is a 8 after the 2 so it would go up to 300

4 0

3 years ago

Read 2 more answers

The function f(t) = t2 + 4t − 14 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Sh

Cloud [144]

Answer:

A) The vertex ( h , k) = ( -2 , -18)

B) The minimum value of the given function = - 18

C) The Axis of the symmetry for f(t) is y -axis

Step-by-step explanation:

Given a parabola f(t) = t² + 4 t − 14

f(t) = t² + 2(2) t + (2)²-4− 14

f(t) = (t +2)² - 18

Let comparing y = (x +2)² -18

(x +2)² = y + 18

(x-h))² = 4 a ( y - k))²

<em>The vertex ( h , k) = ( -2 , -18)</em>

Given a parabola f(t) = t² + 4 t − 14

Differentiating with respective to 't'

f¹(t) = 2 t + 4

f¹(t) = 2 t + 4 = 0

now $t = \frac{-4}{2} = -2$

Again Differentiating with respective to 't'

$f^{ll} (t) = 2 (1) >0$

f(x) has a minimum value at t = -2

Given f(t) = t² + 4 t − 14

f( -2) = 4 + 4(-2) -14 = 4 -8 -14 = -18

The minimum value of the given function = - 18

f(t) = (t +2)² - 18

Let comparing y = (x +2)² -18

(x +2)² = y + 18

(x-h))² = 4 a ( y - k))²

The vertex ( h , k) = ( -2 , -18)

The Axis of the symmetry for f(t) is y -axis

8 0

2 years ago