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3 years ago

What is the degree of the polynomial below? 7x + 6 x + 4 x + 2

Mathematics

1 answer:

hoa [83]3 years ago

8 0

Answer:

Degree of 1

Step-by-step explanation:

The degree of a polynomial is equal to its greatest exponent, so in this equation, we can assume it is 1 because none of the terms are squared.

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. A patio is built in the shape of a trapezoid, as shown. Determine the area of the patio.

netineya [11]

Answer:

84 in²

Step-by-step explanation:

(15+6)0.5 * 8 = 21(0.5) * 8 = 10.5 * 8 = 84

8 0

3 years ago

What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

Range:

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

4 years ago

In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagon

mote1985 [20]

if we name that part x, then we can say

1/x = 1/a + 1/b

3 0

3 years ago

Help please thanks.......

stiv31 [10]

Answer:

Step-by-step explanation:

when x=0,y=6*2^0=6*1=6

6 0

3 years ago

Match the statement to symbols a quarter of a number 4/x 4x ox/4 1/4+x

Reil [10]

A quarter of the number would be 1/4 +x

7 0

3 years ago