If y=-4 when x=10, determine y when x=5.

Answers

Answer 1
Answer: y=-4 \n x=10 \n  \ny =? \n x=5 \n ---------------- \n  {\left \{ {{y=-4} \atop {x=10}} \right. }/ :2 \n \n  {\left \{ {{\boxed{y=-2} \atop {x=5}} \right. }  \n \n \text{Answer: y=-2}

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How to solve and figure it out

Answers

so your equation is currently in point-slope form; however, to figure out the slope and y-intercept, you'd be better off in slope-intercept form: y = mx + b

while in point-slope form, y - y1 = m(x - x1), you can definitely see the slope as -5, you can't see the y-intercept as easily. x-intercepts are actually the solutions/zeros of a function, and it was included in the answer choices to confuse you.

you're correct about -5 being a decreasing slope. but to figure out the y-intercept, you need to convert to slope-intercept form.

y - 4 = -5(x + 1)  ... distribute the -5
y - 4 = -5x - 5  ... add 4
y = -5x - 1

and in the form of y = mx + b, where m is the slope and b is the y-intercept, you can see that you have a decreasing slope of -5 and a y-intercept of -1. your correct answer is A. choices C and D were thrown in to distract you and make you think that the -5(x + 1) was somehow related to discovering the x-intercept.

Solve for x

(2x-1)^4 = 64

Answers

X= -0.914214, 1.914214

When preparing the cheese for their pizzas, the cooks at Brian's pizza restaurant mix 1 kilogram of Parmesan cheese and 9 kilograms of mozzarella. At Jeff's pizza restaurant, the cooks mix 2 kilograms of Parmesan cheese and 16 kilograms of mozzarella. Which restaurant uses a lower ratio of Parmesan to mozzarella?Brian's restaurant
Jeff's restaurant
neither; the ratios are equivalent

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Jeff's Restaurant uses less because if you simplify both of the ratios you get 1/9 and 1/8

5r + 15 = 0 ........?

Answers

Answer:

r = -3

Step-by-step explanation:

Simplifying

5r + 15 = 0

Reorder the terms:

15 + 5r = 0

Solving

15 + 5r = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + 5r = 0 + -15

Combine like terms: 15 + -15 = 0

0 + 5r = 0 + -15

5r = 0 + -15

Combine like terms: 0 + -15 = -15

5r = -15

Divide each side by '5'.

r = -3

Simplifying

r = -3

Answer: R would equal -3

Step-by-step explanation:

5 x -3 = -15

-15 + 15 = 0

During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?gallons

Answers

we know that

An average of 4 cups of tea are poured per minute

Step 1

Find the number of cups that are poured in two hours by proportion

Remember that

2\ hours=120\ minutes

(4)/(1) (cups)/(minute) =(x)/(120)(cups)/(minutes) \n \nx=120*4 \n \nx=480\ cups

Step 2

Convert cups to gallons by proportion

Remember that

16\ cups=1\ gallon

(1)/(16) (gallon)/(cups) =(x)/(480) (gallons)/(cups) \n \nx=480/16 \n \nx=30\ gallons

therefore

the answer is

30\ gallons

The answer is 30.
There are 16 cups in a gallon. And 120 minutes in 2 hours. so multiple 
16*120 which is 480. Then divide 480/120 and get 30 as your answer

At the beginning of a week, a stock’s price is $9.40 per share. For that entire week, the stock’s price decreased at a steady rate of $0.20/day. Christine graphs the price of the stock versus time. She plots the price of the stock along the vertical axis, and she plots time in days along the horizontal axis. What is the y-intercept of the line?

Answers

y-int= 9.4 is going to be your answer
The answer should be 
9.40