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mina [271]
2 years ago
6

Use the distributive property to simplify this expression: 0.1(2x+3)

Mathematics
1 answer:
soldi70 [24.7K]2 years ago
8 0

\huge\text{Answer:}

\huge\mathrm{0.2x+0.3}\checkmark

\huge\text{Solution:}

Hi there, hope you are having a great day! :)

<em />\bigstar\star\star\sf{What\:is\:the\:Distributive\:Property?}

The Distributive Property is a property which states that

\longmapsto\sf{a(b+c)=ab+ac

Now, let's apply this property:

\longmapsto\sf{0.1(2x+3)

\longmapsto\sf{0.2x+0.3} (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

\bf{-MistySparkles^**^*

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4 0
2 years ago
Reflection over the y-axis followed by a horizontal translation 1 unit left on the equation f(x)=x ​
aleksley [76]

Answer:

f(x) = -x -4 or f(x) = (-x)-4

Step-by-step explanation:

Let the graph of g be a translation of 4 units down followed by a reflection in the y-axis of the graph of f(x)=x. Write a rule for g.

Transformations can be found using this general formula: f(x) = a(bx-h)+k

For this question, we want a translation down as well as a reflection.

The two values we need to use are for k, a vertical translation, and b, a reflection over the y-axis.

Since we are translating down 4 units, k = -4

Since we are reflecting across the y-axis, b = -1

So, f(x)=(-x)-4

or

f(x)= -x -4

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2 years ago
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Answer:

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Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

So, the 'x' value is 3 and 'y' value id -4.

Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse = \sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5

Now, using the sine ratio for the angle, we have

\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}

Therefore, the value of \sin \theta is -\frac{4}{5}.

The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,

4 0
3 years ago
two long books containing a total of 2400 pages have a ratio of 3 pages to 5 pages. how may pages are in each book?
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Answer:

Here you go.

STAY SAFE, GOD BLESS YOU :)

7 0
3 years ago
3×1 3/4 greater than less than or equal to 1 3/4
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