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Mekhanik [1.2K]
2 years ago
12

In the xy-plane, what is the y-intercept of the graph of the equation y = 6 (x - 1) (x + 3)? ​

Mathematics
1 answer:
Y_Kistochka [10]2 years ago
5 0

The  y-intercept of the graph of the equation is -18

<h3>What is an intercept?</h3>

An intercept is a point where the tangent to a curve or a straight line touches the x-axis or the y-axis.

Analysis:

y = 6(x-1)(x + 3)

y = 6(x^{2} + 3x -x -3)

y = 6(x^{2} +2x -3)

y = 6x^{2} +12x -18

The y-intercept of the equation occurs at x = 0

Therefore y = -18.

In conclusion, the y-intercept is -18.

Learn more about slope-intercept: brainly.com/question/1884491

#SPJ1

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Relative risk is an ideal form of measurement for a retrospective cohort study design because it allows researchers to recruit b
kolezko [41]

This indicates that the individuals taking vitamin C were 53% less likely to catch a cold and that taking vitamin C has a protective effect, making them less likely to catch a cold.

This is further explained below.

<h3>What is vitamin C?</h3>

Generally, Vitamin C, which is also known as ascorbic acid, is an essential nutrient for the expansion, maturation, and maintenance of all of the body's tissues. It plays an important role in the synthesis of collagen, the absorption of iron, the appropriate functioning of the immune system, the healing of wounds, and the preservation of cartilage, bones, and teeth.

In conclusion, This suggests that those persons who took vitamin C were 53% less likely to develop a cold and that taking vitamin C has a protective impact, making them less likely to catch a cold.

Additionally, this implies that taking vitamin C makes one less likely to catch a cold.

Read more about vitamin C

brainly.com/question/15080220

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CQ

Researchers have conducted a study and determined that the relative risk for developing a cold for individuals taking vitamin C is 0.47 when compared to the number of participants in the study who developed a cold while not taking vitamin C. This is an indication of which of the following?

6 0
1 year ago
Each basketball comes in a cubic box with side lengths of 1 foot. The locker is 3 feet long, 2 feet wide, and 5 feet high. How m
LuckyWell [14K]

Answer:

30 basketballs

Step-by-step explanation:

one layer would be 3 x 2 = 6

  • to find how much you would need to cover the bottom of the locker, you would use the numbers 3 and 2, then multiply them and you get 6. You would need 6 basketballs to cover the bottom of the locker. That would be your first layer

5 layers would be 6 x 5 = 30

  • So the bottom would be filled with 6 basketballs. Now since the locker is 5 feet high multiply 6 x 5 and that would get you your total of basketballs
4 0
3 years ago
Complete equation of the line through (1,4) and (2,2)
lions [1.4K]

Answer:

y = -2x + 6

Step-by-step explanation:

y=mx + c

m is the gradient and c is the y intercept

m = (y 2 - y 1)  / (x 2 - x 1)  = (2-4) / ( 2-1) = -2

y= -2x + c

To find c, just sub one of the coordinates into the eqn:

By using the coordinates (1,4)

4 = -2(1) + c

c = 6

Therefore, the equation is y = -2x + 6

3 0
2 years ago
Bruno bought 96 pounds of sugar for his bakery. Every day he used the same amount of sugar to make bakery items. After 10 days,
Tasya [4]
Bruno used 8.08 pounds of sugar each day, because if you multiply 8.08 times ten it gives you 80.8 and 96 - 80.8 = 15.2
7 0
3 years ago
14 and 15 please thank you
Elanso [62]

Problem 14

<h3>Answer: They bought <u>too much</u> sand</h3>

-----------------------

Explanation:

Because the sandbox is a rectangular prism, aka a block, we multiply the length width and height to get the volume.

Volume = length*width*height = 6*5*1.2 = 36

The volume of the sandbox is 36 cubic feet.

The customer bought 40 cubic feet of sand, which exceeds the volume we computed earlier. The customer bought <u>too much</u> sand.

If it was a choice of buying too much or too little, I think it's better to go overboard just so you don't have to return to the store. The extra amount of sand (40-36 = 4 cubic feet) can possibly sold or donated at a later time.

==========================================================

Problem 15

<h3>Answers:</h3>
  • The equation could be 306.52 = 19.4h or  19.4h = 306.52
  • Either equation mentioned solves to h = 15.8; so the height of the prism is 15.8 meters

-----------------------

Explanation:

The rectangular prism formula to calculate the volume is

Volume = length*width*height

Note that the portion "length*width" can be replaced with "base area", because the base area is a rectangle.

So we can have this alternative formula

Volume = (base area)*height

If we know the area of the floor, and multiply by the height of the wall, then we can calculate the volume of a room like this. In this case, the floor is 19.4 square meters in area. The overall room is 306.52 cubic meters. We'll let h be the height of the wall. Use algebra to solve for h

Volume = (base area)*height

306.52 = 19.4h .... is one equation to set up

19.4h = 306.52

h = 306.52/19.4

h = 15.8

We divide both sides by 19.4 to undo the multiplication going on.

The height of the prism is 15.8 meters.

6 0
3 years ago
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