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2 years ago

What is the slope of y=-1/2x+3

Mathematics

2 answers:

user100 [1]2 years ago

7 0

Answer:

slope = - $\frac{1}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{1}{2}$ x + 3 ← is in slope- intercept form

with slope m = - $\frac{1}{2}$

earnstyle [38]2 years ago

3 0

Given : A linear equation in two variables is given to us , which is y = -½ + 3 .

To Find : The slope of the line .

Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,

$\large\boxed{\red{\bf y = mx + c }}$

Where , m is the slope of the line and c is the y - intercept of the line .

Now , on comparing the equation with the standard form , we have :

m ( slope ) = -½ .
c ( y - intercept ) = 3 .

Hence the slope of the line is -½.

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Mushrooms are healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for $8.75. Marco buys a 3.75- oz contai

Lady bird [3.3K]

Answer:

Adam's container

Step-by-step explanation:

Given

Adam

$Weight = 3.5\ oz$

$Amount = \$8.75$

Macro

$Weight = 3.75\ oz$

$Amount = \$9.75$

Required

Determine the better buy

First, we need to determine the unit cost per oz of each

i.e.

$Unit\ Cost = \frac{Amount}{Weight}$

For Adam:

$Unit\ Cost = \frac{8.75}{3.5}$

$Unit\ Cost = 2.5$

For Marco:

$Unit\ Cost = \frac{9.75}{3.75}$

$Unit\ Cost = 2.6$

The better buy of both is the one with the smaller unit cost.

Since 2.5 < 2.6, we can conclude that Adam's container is a better buy

8 0

2 years ago

Sue wrote a doubles fact. It has a sum less than 10 and greater than 4. The addends are each less than 5. What fact might she ha

Oksana_A [137]

She might have written 3 + 4

3 0

2 years ago

What is 3x²+5x+25 when x equals 3

Ksivusya [100]

Answer: 67

Step-by-step explanation:

3x^2 + 5x + 25

x = 3

3(3)^2 + 5(3) + 25

3^2 = 9

3(9) + 5(3) + 25

3 * 9 = 27

27 + 5(3) + 25

5 * 3 = 15

27 + 15 + 25

27 + 15 = 42

42 + 25 = 67

8 0

3 years ago

Read 2 more answers

A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height

melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

$x\geq 0$

The height of the food packet cannot be a negative value, so

$f(x)\geq 0$

We need to replace $-15x^2+6000$ for f(x) in the above inequality to find the domain.

$-15x^2+6000\geq 0 \; \; [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0$

The possible solutions of the above inequality are given by the intervals $(-\infty , -2], [-2,2], [2,\infty )$ . We need to pick test point from each possible solution interval and check whether that test point make the inequality $(x+200)(x-200)\leq 0$ true. Only the test point from the solution interval [-200, 200] make the inequality true.