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LekaFEV [45]
3 years ago
8

Line I is parallel to line m. If the

Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

105

Step-by-step explanation:

angle 6 and 2 are equal

angle 2 lies on a 180 line with angle 3

180-angle 2 =angle 3

180-75=105

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Graph the functions and approximate an x-value in which the exponential function exceeds the polynomial function. y = 4x y = 7x2
nordsb [41]

Answer:

The Exponential function is

y=4^x

And the polynomial function is

y=7 x^2 +4 x -2

And, we have to find the value of x for which, exponential function exceeds the polynomial function which can be written as

4^x> 7 x^2 +4 x -2

1. When , x= -1

LHS

4^{-1}=\frac{1}{4}=0.25

RHS

=7*(-1)^2 +4 *(-1)-2\\\\=7-4-2=1

2. When , x=0

L HS

 4^0=1

RHS

7*0+4*0-2= -2

3. When ,x= 0.5

L HS

 4^{0.5}=2

RHS

=7*0.25 +4*0.5 -2\\\\= 1.75+2-2\\\\=1.75

4. When , x=2

LHS

 4^{2}=16

RHS

=7*4^2+4*4-2\\\\=112+16-2\\\\=126

The Minimum value for which  exponential function exceeds the polynomial function is , x= 0.5

But,there is other value for which  exponential function exceeds the polynomial function is , x=2.

5 0
3 years ago
Between which two square roots of integers could you find Euler's number (2.7182818284...)?
ElenaW [278]
The square root of 7 is roughly 2.6
The square root of 8 is roughly 2.8

Hence Euler's number is between \sqrt{7} and \sqrt{8}.
7 0
4 years ago
Read 2 more answers
Expand and simplify<br> (j - 10)2
igor_vitrenko [27]

Answer:

2j-20

Step-by-step explanation:

Multiply 2 into the parenthesis. So 2(j) -2(10).

This equals 2j-20.

3 0
3 years ago
Read 2 more answers
Solve for x if 10/4x-3 = 2​
Marysya12 [62]

Answer:

We need to solve this equation:

\frac{10}{4x}-3=2

We pass -3 to the right summing:

\frac{10}{4x} = 2 + 3

\frac{10}{4x}=5

We pass the 4x that is dividing to the right multiplying:

10 = 5*4x

10=20x

We pass the 20 of the right to the left dividing:

\frac{10}{20}=x

x=\frac{1}{2}

Now, we know x=\frac{1}{2}, so we can verify:

\frac{10}{4*\frac{1}{2}}-3 = 2

\frac{10}{2}-3=2

5 - 3 = 2 TRUE

3 0
3 years ago
Read 2 more answers
51.83 to the nearest whole numbe
Westkost [7]

Answer:

52

Step-by-step explanation:

it's 52 I think, yeah .

4 0
3 years ago
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