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3 years ago

Solving InequalitiesAlgebra 1

Mathematics

1 answer:

Verdich [7]3 years ago

3 0

Answer:

b $\geq$ -12

Step-by-step explanation:

Step 1- Subtract 10 from both sides of the inequality.

New inequality:

4b $\geq$ -48

Step 2- Divide by 4 on both sides of the inequality, to get your answer.

Answer:

b $\geq$ -12

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A recipe for casserole calls for 2 cups of rice. The recipe makes 6 servings of casserole. how many cups of rice will you need t

ss7ja [257]

You will need 3.333.... cups of rice to make 10 servings of casserole.

Explanation

The recipe which makes 6 servings of casserole, needs 2 cups of rice.

Suppose, you need $x$ cups of rice for making 10 servings of casserole.

Now, the equation according to the ratio of "cups of rice" to the "servings of casserole" will be.....

$\frac{x}{10}=\frac{2}{6}\\ \\ 6x= 2*10=20\\ \\ x=\frac{20}{6}=3.333.....$

So, you will need 3.333.... cups of rice to make 10 servings of casserole.

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4 years ago

Find the domain of the function algebraically: <img src="https://tex.z-dn.net/?f=R%28x%29%3D%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D

BigorU [14]

The domain of the function is all real numbers except 2 and -1

Step-by-step explanation:

Domain is the set of inputs of a function on which the function is defined.

Given function is:

$R(x) = \frac{x}{x^2-x-2}$

In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

$x^2-x-2 = 0\\x^2-2x+x-2 = 0\\x(x-2)+1(x-2) = 0\\(x+1)(x-2) = 0\\x+1 = 0 => x=-1\\x-2=0 = > x=2$

The function will be undefined on x=-1 and x=2

So,

The domain of the function is all real numbers except 2 and -1

Keywords: Domain, functions

Learn more about domain and functions at:

#LearnwithBrainly

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Phoenix [80]

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4 years ago

Solving InequalitiesAlgebra 1​

Solving InequalitiesAlgebra 1