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3 years ago

Consider the absolute-value equation

Mathematics

1 answer:

Reika [66]3 years ago

3 0

Answer:

one solution; x = -8

Step-by-step explanation:

divide by 2 first to get:

|x + 8| + 2 = 2

|x + 8| = 0

x = -8

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3 years ago

Of the smoothie sold yesterday at Isaac's smoothie shop 1/4 we're banana and another 2/3 were strawberry What fraction of smooth

lesya [120]

Answer:

11/12

Step-by-step explanation:

Fraction of smoothie that is Banana = 1/4

Fraction of smoothie that is strawberry = 2/3

The fraction of smoothies that were either banana or strawberry

= 1/4 + 2/3

Least Common Denominator= 12

= (3 × 1 + 2 × 4)/12

= 3 + 8/12

= 11/12

The fraction of smoothies were either banana or strawberry is 11/12

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3 years ago

Let f(x) = x^2 - 2x <br><br> a. Find and simplify f(5) <br> b. Find the value of x such that f(x)=3

likoan [24]

A) f(5)= 5^2 -2•5= 25-10=15
b) x^2 -2x-3=0
(x-3)(x+1)=0 so
x=3 and x=-1 are the solutions

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3 years ago

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ioda

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4 years ago

2. En el sobre de un jugo instantáneo aparece la siguiente información: “prepare un delicioso litro de jugo de naranja”. Si con

babunello [35]

2) 200 mL

3) 0.2 kg

Step-by-step explanation:

In this problem, we know that:

- With 1 liter of juice, we can fill a total of 5 cups

So we know that the total volume of 5 cups is equal to

V = 1 L

This means that the volume of each cup is equal to the total volume divided by the number of cups (5), therefore:

$V_1=\frac{V}{5}=\frac{1L}{5}=0.2 L$

And keeping in mind the equivalence between liters and milliliters:

1 L = 1000 mL

This means that the capacity of each cup is

$V_1=0.2 L \cdot 1000 mL/L = 200 mL$

Here we want to find the mass contained in each cup.

We know that the mass of a substance is related to each volume by the equation

$d=\frac{m}{V}$

where

d is the density

m is the mass

V is the volume

In this problem, we have:

V = 0.2 L is the volume of juice in each cup

$d=1kg/L$ is the density of juice (assuming it is the same as the density of water)

So, the mass of juice in one cup is:

$m=dV=(1)(0.2)=0.2 kg$

8 0

3 years ago