How do I Find the slope and Y intercept of each equation:1. Y= 2x +1
2. Y= 1/3x _3
3. Y=_2x + 1
4. _2x +5y=10
5. 4x _2y _5=0
6. Y= _4x _3
7. 3x_ 5y=20

Answers

Answer 1

Answer: $1.\n \n the \ slope \ intercept \ form \ is : \n \n y= mx +b \n \ny=2x+1 \n \n the \ slope \ (the multiplier \ of \ x \ represented \ by \ m ) \ is \ 2 \n \n and \ the \ y-intercept \ (the constantrepresented \ by \ b \ ) \ is \ 1$

$2.\n \n y= (1)/(3)x-3 \n \n the \ slope \ m = (1)/(3) \ \ and \ y = -3$

$3.\n \n y= -2x + 1\n \n the \ slope \ m = -2 \ \ and \ y = 1$

$4.\n \n-2x +5y=10\n \n5y=2x +10 \ \ /:5\n \ny = (2)/(5)x +2\n \n the \ slope \ m =( 2)/(5) \ \ and \ y = 2$

$5.\n \n 4x-2y-5=0\n \n-2y =-4x +5 \ \ /:(-2)\n \ny=2x-(5)/(2) \n \n the \ slope \ m = 2 \ \ and \ y = -(5)/( 2)$

$6.\n \n y=-4x-3 \n \n the \ slope \ m =-4 \ \ and \ y = -3$

$7.\n \n3x-5y=20\n \n-5y=-3x +20 \ \ / :(-5) \n \n y= (3)/(5)x - 4\n \n the \ slope \ m = (3)/(5) \ \ and \ y = -4$

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How many possibilities are there when you roll a die and draw a card from a standard deck of cards

Answers

a typical die has 6 faces, so there are 6 possibilities. a typical deck of cards contains 52 cards, so there are 52 possibilities.

Final answer:

The total number of possibilities when you roll a six-sided die and draw a card from a standard 52-card deck is 312.

Explanation:

The question is asking us to calculate the total possibilities when you roll a single six-sided die and draw a card from a standard 52-card deck. In mathematics, to calculate the total possibilities of two independent events happening together, we multiply the number of outcomes of the two events.

A six-sided die has 6 possible outcomes (1, 2, 3, 4, 5, or 6) and a standard 52-card deck has 52 possible cards to draw. Therefore the total possibilities, when you roll a die and draw a card, would be 6 (die outcomes) * 52 (card outcomes) = 312 total possibilities.

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What is the height of this cone?

Answers

Answer:

height is = 3/2 ft

Step-by-step explanation:

a cones volume can be represented by 1/3(h)(pi)(r^2)

we must go backwards to find this question out

if the diameter is 2/3 then the radius is 1/3

then you must square that

that is 1/3 * 1/3 which is 1/9

1/9(1/3)(pi)(h) is 1/18(pi)

we can remove pi from both sides and multiply the 1/9 and the 1/3

1/27(h) = 1/18

we must find the lcm or least common multiple to figure this out

the lcm is 54

1/27 is essentially 2/54 and 1/18 is 3/54

2/54(h) = 3/54

we can multiply each side by 54

2h = 3

divide 2 on both sides

h is 3/2

Good evening guys

I nee your help , can you ?

Answers

5h^3: 5 * h * h * h
20h^2: 2 * 2 * 5 * h * h
GCF(5h^3, 20h^2) = 5h^2

4h: 2 * 2 * h
16: 2 * 2 * 2 * 2
GCF(4h, 16) = 4

The answer is C.

What characteristic marked American mainstream society in the 1950s?frugality

overspending

individualism

conformity

Answers

The answer is Conformity.
Conformity is the act of confirming or following the mainstream culture. It means that people follow the rules and standards that is being set by the current culture. During the 1950's, Americans were divided into different social group and they act according to the culture of the social groups.

Conformity marked American mainstream society in the 1950s.

In the 1950s, conformity marked American mainstream society. During this time, there was a strong emphasis on fitting in and adhering to societal norms. People aimed to conform to traditional values, roles, and behaviors, and there was pressure to conform in terms of appearance, religion, and political beliefs.

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If a translation of T-3,-8 (x,y) is applied to square ABCD, what is the y-coordinate of B'?-12

-8

-6

-2

Answers

Answer:

-6

Step-by-step explanation:

The y-coordinate of B is 2. Adding -8 to it makes the y-coordinate of B' be -6.

2 -8 = -6

Answer:

-6

Step-by-step explanation:

The given translation is

$T_(-3,-8) (x,y)$

Which means that the original figure will be moved 3 units to the right and 8 units downwards.

Remember, when it comes to translations, when we subtract units to $x$ that means the figure will be moved rightwards. And if we subtract units from $y$ , that means the figure will be moved downwards.

So, the original figure has as vertex B(1,2). If we apply the transformation to its vertical cordinate $y=2$ , we would have

$y'=2-8=-6$

Therefore, the right answer is the third choice -6.

Which function is graphed below? On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.

Answers

The function graphed here is an exponential decay function.

Becasue an exponential decay function is characterized by a curve that starts in quadrant 2 and decreases as it moves into quadrant 1. It crosses the y-axis at a positive value and approaches y = 0 as it continues into quadrant 1. This behavior matches the description given in the question, so we can conclude that the function graphed is an exponential decay function.

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