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2 years ago

A frozen yogurt shop charges $4.00 for a bowl of yogurt and an addi-

Mathematics

2 answers:

Lynna [10]2 years ago

8 0

Answer:

y-intercept = 4

Step-by-step explanation:

let x = the number of additional toppings

let y = the total cost

Therefore, y = 0.25x + 4

Linear equation: y = mx + b, where m is the slope and b is the y-intercept

So by inspection, the y-intercept is 4

kow [346]2 years ago

4 0

Answer:

y= 0.25x +4 y= mx+b B is the y intercept

Step-by-step explanation:

Good luck bro

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3 years ago

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Evaluate the function.<br> f(x) = 3x2 + 16<br> Find f(-1)

SIZIF [17.4K]

Answer:

$f(-1)=19$

Step-by-step explanation:

<u>Evaluating Functions</u>

Given a function y=f(x), evaluate the function for x=a means substituting the variable for the given value.

We have the function:

$f(x)=3x^2+16$

Find f(-1):

$f(-1)=3(-1)^2+16$

$f(-1)=3(1)+16$

$f(-1)=3+16$

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3 years ago

Condensing Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as the logarithm of a

yKpoI14uk [10]

Answer:

$4ln [\frac{x^2 (x^3-1)}{x-5}]$

Step-by-step explanation:

For this case we have the following expression:

$4[ln(x^3-1) +2ln(x) -ln(x-5)]$

For this case we can apply the following property:

$a log_c (b) = log_c (b^a)$

And we can rewrite the following expression like this:

$2 ln(x) = ln(x^2)$

And we can rewrite like this our expression:

$4[ln(x^3-1) +ln(x^2) -ln(x-5)]$

Now we can use the following property:

$log_c (a) +log_c (b) = log_c (ab)$

And we got this:

$4[ln(x^3-1)(x^2) -ln(x-5)]$

And now we can apply the following property:

$log_c (a) -log_c (b) = log_c (\frac{a}{b})$

And we got this:

$4ln [\frac{x^2 (x^3-1)}{x-5}]$

And that would be our final answer on this case.

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3 years ago

329,444,000,777,234 in words

maxonik [38]

Step-by-step explanation:

Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four

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3 years ago

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Write the equation of the line that goes through the point (-2, 8) with a slope of 1/2

hram777 [196]

Answer:

The answer is Y = 1/2x + 9

Step-by-step explanation:

The general equation with a slope and intercept is:

y=mx+b

We are given a slope of 1/2, which represents the "M" part of the equation.

So we have:

Y = 1/2x + b

We do not know what "b" is, so the equation is not complete.

We plug in "-2" for X and "8" for Y:

8 = 1/2 (-2) + b

b = 9

So, the full equation is: Y = 1/2x + 9

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3 years ago