All categories

3 years ago

Does anyone know what the equation for this graph would be

Mathematics

1 answer:

omeli [17]3 years ago

3 0

Answer:

f(x) = 1/2x + 4

Step-by-step explanation:

The rise of the function is 1 and the run is 2, so our slope is .5 or 1/2!

The function crosses the y-intercept at point (0,4) so our b value is positive 4!

You might be interested in

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%281-2%29%2B%5Csqrt%281%2B2%29%5C%5C" id="TexFormula1" title="\sqrt(1-2)+\sqrt(1+2)\\"

Kipish [7]

1.4 or square root of 2

8 0

2 years ago

Choices; a) 60degree b) 70degree c)80degree d)90degree

storchak [24]

Answer:

∠ PTQ = 70°

Step-by-step explanation:

The angles subtended by the radii and tangents to the circle , sum to 180°

∠ PTQ + 110° = 180° ( subtract 110° from both sides )

∠ PTQ = 70°

7 0

3 years ago

Do this problem for me? 1st correct answer gets a brainliest...

Fantom [35]

The expression $x > -4$ means "all the numbers stricktly greater than -4"

Since the number line is oriented with positive direction going to the right, a number is greater than another if its sits to its right.

So, we want all the numbers to the right of -4, excluded -4 itself.

So, the answer is D.

7 0

3 years ago

The owner of a clothing store borrows $5,000 for 1 year at 14.5% interest. If he pays the loan back at the end of the year, how

oksano4ka [1.4K]

Answer:

Depends on the sort of interest, He could have paid annual interest, compound interest, monthly. If it is annual interest the answer is 5,725$

Step-by-step explanation:

Multiply the initial value by the growth (1.145)

8 0

3 years ago