175 students walk to school. 7+5=12 and 420 divided by 12 is 35. I checked how I did it was correct because of 5*35+7*35=420. Then I found the product of 5*35 which is 175.

4 0

3 years ago

Find the logarithmic function y = logbx that passes through the points

katovenus [111]

$b\in(0,\ 1)\ \cup\ (1,\ \infty)\\x > 0\\y\in\mathbb{R}\\--------------------------\\\\y=\log_bx\\\\For\ (1,\ 0)\to x=1,\ y=0.\ Substitute:\\\\\log_b1=0\to b^0=1\to b\in(0,\ 1)\ \cup\ (1,\ \infty)\\\\For\ (116,\ 2)\to x=116,\ y=2.\ Substitute:\\\\\log_b116=2\to b^2=116\to b=\sqrt{116}\\\to b=\sqrt{4\cdot29}\to b=\sqrt4\cdot\sqrt{29}\to b=2\sqrt{29}\\\\For\ (4,\ -1)\to x=4,\ y=-1.\ Substitute:\\\\\log_b4=-1\to b^{-1}=4\to b=\dfrac{1}{4}$

Different values of b.

<h3>Answer: There is no logarithmic function whose graph goes through given points.</h3><h3 />

Maybe the second point is $\left(\dfrac{1}{16},\ 2\right)$

Substitute:

$\log_b\dfrac{1}{16}=2\to b^2=\dfrac{1}{16}\to b=\sqrt{\dfrac{1}{16}}\to b=\dfrac{1}{4}$

<h3>Then we have the answer:</h3>

$\boxed{y=\log_{\frac{1}{4}}x}$

6 0

3 years ago

What does 58/6 equal

Katen [24]

Answer:

9.66666666667

Step-by-step explanation:

The fraction 58

is equivalent to 9 2

This fraction is a improper fraction once the absolute value of the top number or numerator (58) is greater than the absolute value of the bottom number or denomintor (6). So, the equivalent fraction is a mixed number which is made up of a whole number (9) and a proper fraction (2

The fraction 58

is equal to 58÷6 and can also be expressed as a decimal as 9.66667 and expressed as a percentage as 966.7%.

5 0

3 years ago

Given: y = -x - 6

arlik [135]

$y=\dfrac{-x-6}{2}\qquad\text{multiply both sides by 2}\\\\2y=-x-6\qquad\text{subtract 2y from both sides}\\\\0=-x-2y-6\\\\\boxed{-x-2y-6=0}\qquad\text{change the signs}\\\\\boxed{x+2y+6=0}$

3 0

3 years ago

Read 2 more answers

The y-intercept of the line whose equation is 2x+y= 4 is 04 0-2 02​

The y-intercept of the line whose equation is 2x+y= 4 is 04 0-2 02