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3 years ago

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:

Step-by-step explanation:

it's 52 I think, yeah .

4 0

3 years ago