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Andrews [41]
3 years ago
7

The x and y intercepts for this equation plz y=−1/4x+2 (_,_)

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer:

\boxed{ \boxed{ \sf \: x \: intercept : 8  \atop  \sf \: y \: intercept : 2}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • linear equation
  • PEMDAS
<h3>given:</h3>
  • \tt y =   - \frac{1}{4}  x+ 2
<h3>to find:</h3>
  • x and y intercept
<h3>tips and formulas:</h3>
  • to find x and y intercept we have to substitute x and y to 0
<h3>let's solve:</h3>

let's substitute x to 0 to find y intercept

  • y=-¼(0)+2
  • y=2

therefore y intercept is 0

let's substitute y to 0 to find x intercept

  • 0=(-¼)x+2
  • (-¼)x=-2
  • x=-2×-4
  • x=8

therefore

<h3>x intercept is 8</h3>

and

<h3>y intercept is 2</h3>

also see the graph

explanation of the graph

you can clearly see that the red line crosses x and y axis to (8,0) and (0,2) respectively

therefore

x intercept is 8

and

y intercept is 2

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How many solutions does this equation have? How do you know?<br><br> 8x +14 - 4x = 9 + 4x - 5
MAVERICK [17]

Answer:

no solutions.

Step-by-step explanation:

8x + 14 -4x = 9+4x -5

8x-4x -4x = 9-5-14

0x = -10

anything multiplied by 0 is 0, so it's impossible to get -10 by multiplying by 0

5 0
2 years ago
How to graph y = 2|x + 3| - 4
mr_godi [17]

The x-intercepts and the y-intercepts of the function is that determines the graph is:

  • x-intercepts = (-5,0) and (-1,0)
  • y-intercepts = (0,2)

<h3>How do we graph the function y = f(x) of an absolute equation?</h3>

The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.

From the given equation:

y = 2|x+3| - 4

To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.

By doing so, the x-intercepts and the y-intercepts of the function is:

  • x-intercepts = (-5,0) and (-1,0)
  • y-intercepts = (0,2)

Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.

Learn more about determining the graph of an absolute equation here:

brainly.com/question/2166748

#SPJ1

8 0
1 year ago
Reflect triangle ABC over the x-axis. Then translate the new triangle 5 units to the left. What are the coordinates of the verti
makvit [3.9K]

Hi there!

The answer to your question is B my explanation is below

The coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

Step-by-step explanation:

Given the triangle with the vertices

A(-1, -8)B(-2, 2)C(5, 2)We know that when we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate reverses its sign.

Thus,

The rule of reflection across the x-axis:

(x, y) → (x, -y)

so

A(-1, -8) → A'(-1, -(-8)) = A'(-1, 8)

B(-2, 2) → B'(-2, -2) = B'(-2, -2)

C(5, 2) → C'(5, -2) = C'(5, -2)

Then, translate the new triangle 5 units to the left

Rule of translating 5 units to the left

(x, y) → (x-5, y)

so

A'(-1, 8) → A''(-1-5, 8) = A''(-6, 8)

B'(-2, -2) → B''(-2-5, -2) = B''(-7, -2)

C'(5, -2) → C''(5-5, -2) = C''(0, -2)

Therefore, the coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

8 0
3 years ago
Read 2 more answers
4. Susan is detaching for a new apartment . Her month salary is 1,800, and she wants to spend no more the 35% of her budget on r
lilavasa [31]

Answer:

Susan is willing to spend $630.

Step-by-step explanation:

You want to find out 35% of her salary.

First, you need to convert the percentage to a decimal.

35% = 0.35

To find out the maximum amount Susan is willing to pay, we need to multiply 0.35 (35%) by her salary ($1800)

0.35 x 1800 = $630


6 0
3 years ago
One property of parallelograms not shown in the interactive is that the opposite sides are parallel. Given a parallelogram, how
neonofarm [45]
<span>The opposite sides can be proven parallel to each other if the lines would not intersect each other if the lines were much longer. It should also have the same straight horizontal measurement of distance in between the space. Measurement of parallel lines in a parallelogram can be determined using the slope formula.</span>
8 0
3 years ago
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