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3 years ago

How to solve polynomials?

Mathematics

1 answer:

liberstina [14]3 years ago

4 0

Factoring:

FOIL (first, outer, inner, last) method

(a+b)(c+d) = 0

ac+ad+bc+bd = 0

Zeros:

(x+a)(x+b) = 0

x+a = 0, x= 0-a

x+b = 0, x= 0-b

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the ratio of red marbles to yellow marbles placed in a bag is 2:7. More marbles are added to the bag: 3 red and 3 yellow marbles

Anvisha [2.4K]

Answer: False.

Step-by-step explanation:

Initially, the ratio is 2:7

This means that if we have 2 red marbles, we must have 7 yellow ones.

The quotient here is 7/2 = 3.5

Now, if you add 3 marbles of each colour, then we have:

2 + 3 = 5 red marbles

7 + 3 = 10 yellow marbles.

Now the ratio is 5:10

This means that for every 5 red marbles, we have 10 yellow ones.

But now we can divide both numbers by the same positive integer, because they have a common factor equal to 5.

5/5 = 1

10/5 = 2

Then we have:

5:10 = 1:2

So the new ratio is 1:2

Then the ratio changed when we added the new marbles, which means that Maria was wrong.

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3 years ago

Given y=3x - 4, write an equation that is shifted down 10 and is less steep.

antoniya [11.8K]

Answer:

y = ½x - 14

Step-by-step explanation:

Given the linear equation, y = 3x - 4, where the slope, m = 3, and the y-intercept is (0, -4):

The slope of a linear equation represents the steepness of the line's graph. The higher the value of the slope, the steeper the line. Hence, the slope of the other line must be less than three, but is greater than zero: 0 < m < 3. (a negative slope will show a declining line).

Next, the vertical translation of the line involves changing the value of the parent graph's y-intercept. Since the prompt states that the equation must represent a downward vertical shift of 10 units, then the y-intercept of the other line must be (0, -14).

The linear equation that I have chosen that meets the requirements of the given prompt is: y = ½x - 14. You're more than welcome to choose a different slope, as long as it is less than 3, but is greater than 0 (must be a positive slope).

Attached is a graph of both equations, to demonstrate that the other equation represents a graph with a steeper slope than the original graph.

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2 years ago

I've found each day our family drinks 2/15 gallons of milk. A gallon costs $2.73. How much will I spend on milk in 60 days?

SVETLANKA909090 [29]

Answer: $21.84

Step-by-step explanation: (2/15)60 = 8days

8(2.73) = $21.84

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3 years ago

Read 2 more answers

How many units and which direction were the x coordinates of parallelogram ABCD moved ?

Alex

Explanation:

From the diagram, one square box represensts 1 units. The pre image of parallelogram ABCD is A'B'C'D' as shown. We can see that the parallelogram ABCD at the right shifted towards the left by 3 units (note the 1 unit represents one squaren

Hence we can conclude that the parallelogram ABCD shifts 3 units to the left to produce a pre-image A'B'C'D'ote the 1 unit represents one square)

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1 year ago

Explain why from the table below are not equal.

zloy xaker [14]

Sorry but there is no table lol

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3 years ago