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Lerok [7]
3 years ago
10

Simplify. |-10| + |5|

Mathematics
2 answers:
denis23 [38]3 years ago
5 0
Hey there!

Here is your answer:

<u><em>The proper answer to this question is "10+5".</em></u>

Reason:

<u><em>I-10I=10</em></u>
<u><em>I5I=5 </em></u>
<u><em>Therefore this equation is simplified into 10+5!</em></u>

<em>Therefore the answer is 10+5=!</em>

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
Olin [163]3 years ago
3 0

<u>Hello</u>,the <u>correct answer</u> is D.15

(<u><em>I got it correct</em></u> when <u><em>I picked D.15</em></u>)

It would be a <em><u>pleasure</u></em> to have brainlyiest! <3


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Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three
RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

f(x)=x^{2}

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

g(x)=-5x^{2}+100x-450

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

g(x)=-5x^{2}+100x-450

Complete the square

g(x)=-5(x^{2}-20x)-450

g(x)=-5(x^{2}-20x+100)-450+500

g(x)=-5(x^{2}-20x+100)+50

g(x)=-5(x-10)^{2}+50

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0
3 years ago
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What is the pre-image of vertex A' if the image shown on
lisov135 [29]

Answer: B. (-6, 8).

Step-by-step explanation:

7 0
3 years ago
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Find the area of the regular polygon. Round to the nearest tenth.
mojhsa [17]

Given:

Side length = 12 in

To find:

The area of the regular polygon.

Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

$a=\frac{s}{2 \tan \left(\frac{180^\circ}{n}\right)}

where s is side length and n is number of sides.

$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}

$a=\frac{6}{ \tan (30^\circ)}

$a=\frac{6}{ \frac{1}{\sqrt{3} }}

$a=6\sqrt{3}

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

$A=\frac{1}{2}(6 \times 12)(6\sqrt{3} )

$A=\frac{1}{2}(72)(6\sqrt{3} )

A=216 \sqrt{3}

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The area of the regular polygon is 374.1 in².

4 0
3 years ago
A. the series is absolutely convergent.
Dovator [93]
\displaystyle\sum_{n=1}^\infty\left(1+\frac5n\right)^n

Notice that

\displaystyle\lim_{n\to\infty}\left(1+\frac5n\right)^n=e^5\neq0

which means the series is divergent. So if this is one of those "select all that apply" questions, then both (c) and (j) are the only choices that do.
7 0
3 years ago
Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?
FrozenT [24]
The correct answer is: <span>The graph shifts 5 units right

Explanation:
Below is the graph attached of both the equations:

Red line: 
Represents f(x) = </span><span>2x + 2.
Blue line: Represents g(x) = 2x - 3.

As you can see in the graph that g(x) is shifted 5 units right to f(x).

If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
</span>2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)

Total 5 units.

Hence the correct answer is t<span>he graph shifts 5 units right.</span>

7 0
2 years ago
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