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3 years ago

Please solve and show work

Mathematics

2 answers:

patriot [66]3 years ago

4 0

Ok first of all question lol and .... that means the presidents were 6ft and below

DanielleElmas [232]3 years ago

3 0

12 • 6 = 72 (so that was feet converted to inches)
72 + 3 = 75 (because he was 6 feet and 3 inches)
President Trump is 75 inches
75 + 1 = 76 (because President Lincoln was 1 inch taller)
President Lincoln was 76 inches.

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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.

<u>Range:</u>

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

3 years ago

the temperature in Portland, Marine, reached -3.5ºF one day last winter. Between with two integers does the temperature lie?

Rzqust [24]

It lies between -3 and -4.

An integer is any whole number, positive or negative.

3 0

3 years ago

I need help with this no link pls

Naddika [18.5K]

Answer:

1. x = 36 equation is x + 2x + 9 = 117, then solve for x

2. x = 50 equation is x + x + 12 = 112, then solve for x

Step-by-step explanation:

4 0

2 years ago

58 1/4 as a decimal

sleet_krkn [62]

Answer:

58.25

Step-by-step explanation:

58 1/4 in decimal form = 58.25

8 0

1 year ago

Can someone please help me

anyanavicka [17]

Answer:

x=12 the other answer is 144.

Step-by-step explanation:

You set the expressions equal to each-other which gives you what x equals. then you substitute that in the A expression which gives you 144

5 0

3 years ago