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wolverine [178]
3 years ago
15

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

\displaystyle 7 = x

Step-by-step explanation:

Five is <em>one-eighth</em> of forty, so relatively proportional to that, <em>one-eighth</em> of twenty-four is three, so you do this:

24 = 2x + 10

- 10 - 10

__________

\displaystyle \frac{14}{2} = \frac{2x}{2} \\ \\ 7 = x

I am joyous to assist you anytime.

You might be interested in
A line tangent to the curve f(x)=1/(2^2x) at the point (a, f(a)) has a slope of -1. What is the x-intercept of this tangent?
kirza4 [7]

Answer:

x-intercept = 0.956

Step-by-step explanation:

You have the function f(x) given by:

f(x)=\frac{1}{2^{2x}}   (1)

Furthermore you have that at the point (a,f(a)) the tangent line to that point has a slope of -1.

You first derivative the function f(x):

\frac{df}{dx}=\frac{d}{dx}[\frac{1}{2^{2x}}]  (2)

To solve this derivative you use the following derivative formula:

\frac{d}{dx}b^u=b^ulnb\frac{du}{dx}

For the derivative in (2) you have that b=2 and u=2x. You use the last expression in (2) and you obtain:

\frac{d}{dx}[2^{-2x}]=2^{-2x}(ln2)(-2)

You equal the last result to the value of the slope of the tangent line, because the derivative of a function is also its slope.

-2(ln2)2^{-2x}=-1

Next, from the last equation you can calculate the value of "a", by doing x=a. Furhtermore, by applying properties of logarithms you obtain:

-2(ln2)2^{-2a}=-1 \\\\2^{2a}=2(ln2)=1.386\\\\log_22^{2a}=log_2(1.386)\\\\2a=\frac{log(1.386)}{log(2)}\\\\a=0.235

With this value you calculate f(a):

f(a)=\frac{1}{2^{2(0.235)}}=0.721

Next, you use the general equation of line:

y-y_o=m(x-x_o)

for xo = a = 0.235 and yo = f(a) = 0.721:

y-0.721=(-1)(x-0.235)\\\\y=-x+0.956

The last is the equation of the tangent line at the point (a,f(a)).

Finally, to find the x-intercept you equal the function y to zero and calculate x:

0=-x+0.956\\\\x=0.956

hence, the x-intercept of the tangent line is 0.956

5 0
3 years ago
Work out length of side b<br>give your answer to 1 decimal place<br><br>plzzzz hhheellpp​
Vedmedyk [2.9K]

√b = 17.17 - 12.12

√b= 289 - 144

√b= 145

b= √145

3 0
3 years ago
Read 2 more answers
What is the slope of the line given by the equation y=-1/3x? Entee your answer as an integer or fraction in lowest terms.
Serhud [2]
-1/3

really? it's that easy dude. 

whatever number is next to x, like say, 3x, that number would be the slope, so it would be 3.

hope it helped.

6 0
3 years ago
Names two planes that do not intersect
weeeeeb [17]

Answer:

parellel planes do not intersect

non-coplanar also dont

8 0
3 years ago
Read 2 more answers
Nvm i did it . it took me a long time but i did it
ra1l [238]
Wooooooo hoooooooo you goooooooo
                                          
                     
7 0
3 years ago
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