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larisa86 [58]
4 years ago
6

Which graph would help solve the equation5log(x+3)=5?

Mathematics
1 answer:
Nady [450]4 years ago
4 0
Method 1:
By graphing, we can find the graph of y = 5log(x + 3) and y = 5 to see where they intersect.

Method 2:
Alternatively, by subtracting 5 from both sides, we can find where the graph 5log(x + 3) - 5 hits the x-axis. In essence, we are finding when y hits 0 and thus, finding where it hits the x-axis.

Method 3:
We can also just solve this algebraically. When we don't have any superscripts, we take the assumption that we're working in base 10.

Divide both sides by 5:
log(x + 3) = 1

Take the inverse of log(x + 3) to both sides:
10^{log_{10}(x + 3)} = 10^{1}
x + 3 = 10
x = 7

Hence, we know that at x = 7, 5log(7 + 3) = 5.

The graphs of Method 1 is pictured first, and the graph of Method 2 is pictured on the right.

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Which applies the power of a power rule to simplify the expression (8 Superscript 12 Baseline) cubed?
rodikova [14]

Answer: (8^{12})^3=8^{12\times 3}=8^{36}

Step-by-step explanation:

Given :  the expression (8^{12})^3

We have to simplify the given  expression and choose the correct from the given options.

Consider the expression (8^{12})^3

Using property of exponents,

\left(a^b\right)^c=a^{b\times c}

We have,

(8^{12})^3=8^{12\times 3}=8^{36}

7 1
4 years ago
Read 2 more answers
Na którym rysunku narysowano symetralną odcinka KL?<br>Która z tych liter nie ma osii symetrii?
tensa zangetsu [6.8K]

Answer:

- Only Drawing D has KL being a symmetrical segment.

- Drawings A, B and C have no axis of symmetry.

- Tylko rysunek D ma KL będący segmentem symetrycznym.

- Rysunki A, B i C nie mają osi symetrii.

Step-by-step explanation:

English Translation

In which drawing was the symmetrical segment of KL drawn? Which of these letters has no axis of symmetry?

Solution

The attached image to the question is presented in the attached image to this Solution.

Symmetry is a concept where a figure/shape has half of its part being a mirror image of the other part.

About the line or axis of symmetry, the structure or figure can be rotated at right angles or whole number multiples of right angles and the resulting structure is still the same as the one we started with.

Of the 4 drawings, only drawing D satisfies this conditions/criteria. And Hence, it is the only drawing amongst the four with an axis of symmetry.

In Polish/Po polsku

Załączony obraz do pytania jest przedstawiony na załączonym obrazku do tego rozwiązania.

Symetria to koncepcja, w której figura / kształt ma połowę swojej części stanowiącą odbicie lustrzane drugiej części.

W odniesieniu do linii lub osi symetrii, strukturę lub figurę można obracać pod kątem prostym lub wielokrotności liczby całkowitej pod kątem prostym, a wynikowa struktura jest nadal taka sama jak ta, od której zaczęliśmy.

Z 4 rysunków tylko rysunek D spełnia te warunki / kryteria. I dlatego jest to jedyny rysunek wśród czterech z osią symetrii.

Hope this Helps!!!

Mam nadzieję że to pomoże!!!

3 0
3 years ago
Classify this triangle by its sides and angles.
FromTheMoon [43]

Answer:

choice 3) acute and equilateral

Step-by-step explanation:

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3 years ago
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Need help with this question
dybincka [34]
Download a math calculator or math awnsers
7 0
3 years ago
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I need the answers to both. Will give brainiest!
miskamm [114]

Answer:

1. Number 1 and 2 and 4 is a function, 2. number 1 is a function

Step-by-step explanation:

1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.

2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.

Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.

Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.

Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.

The vertical test is a way to determine if it is a function.

When looking at a table functions are one-to-one and many-to-one

Non-functions are one-to-many and many-to-many

Hoped this helped you : )

5 0
3 years ago
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