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Ksivusya [100]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
viktelen [127]3 years ago
6 0

Answer:

x = 113

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

37+54+ x-24 = 180

Combine like terms

67+x = 180

Subtract 67 from each side

67-67+x = 180-67

x =113

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find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multi
Dmitrij [34]

Answer:

The answer to this question can be described as follows:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Step-by-step explanation:

Given:

\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)

Solve the above equation:

\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\

The roots of the polynomial are as follows:

 \Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow  x_1,x_2,x_3.........x_n

That's why the roots are:

5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

8 0
2 years ago
Read 2 more answers
Brianna answered 80% of the questions correct on her math test. Which fraction represents the number of questions she answered c
LiRa [457]

Answer: 4/5

Step-by-step explanation:

80% is 80/100

80/100 simplified is 4/5

7 0
2 years ago
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Pure acid is to be added to a 10​% acid solution to obtain 21 L of a 40​% acid solution.
Mazyrski [523]

7 gallons of pure acid and 14 gallons of 10% acid

3 0
3 years ago
I need help please help me
iogann1982 [59]

<u>M</u><u>e</u><u>t</u><u>h</u><u>o</u><u>d</u><u> </u><u>1</u><u> </u><u>:</u>

replace x and y by their value 1 and 3

3 = 4(1) - 1 = 4-1 = 3

2(1) + 3 = 2 + 3 = 5

correct

<u>M</u><u>e</u><u>t</u><u>h</u><u>o</u><u>d</u><u> </u><u>2</u><u> </u><u>:</u>

y = 4x - 1

2x + y = 5

y = 4x - 1

y = -2x + 5

y - y = 4x - 1 - ( -2x + 5 )

0 = 4x - 1 + 2x - 5

6x - 6 = 0

6x = 6

x = 6/6 = 1

y = 4x - 1

y = 4(1) - 1

y = 3

correct

4 0
2 years ago
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If f(3) = 3^x and g(x) = 7^x then the graph of g(x) will be — the graph of f(x) when x&lt;0.
Allushta [10]

Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.

<h3>What are the exponential functions?</h3>

The given exponential functions, f(x) and g(x), are respectively given by:

  • f(x) = 3^x
  • g(x) = 7^x

When x < 0, one possible value is x = -1, hence evaluating the functions at these values:

f(-1) = 3^{-1} = \frac{1}{3}

g(-1) = 7^{-1} = \frac{1}{7}

\frac{1}{3} > \frac{1}{7}, hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.

More can be learned about exponential functions at brainly.com/question/25537936

3 0
1 year ago
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