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irinina [24]
3 years ago
14

How do I factor the quadratic equation

Mathematics
1 answer:
anastassius [24]3 years ago
4 0
Factor the following:
10 y^2 - 35 y + 30
Factor 5 out of 10 y^2 - 35 y + 30:
5 (2 y^2 - 7 y + 6)
Factor the quadratic 2 y^2 - 7 y + 6. 
The coefficient of y^2 is 2 and the constant term is 6. 
The product of 2 and 6 is 12. 
The factors of 12 which sum to -7 are -3 and -4. So 2 y^2 - 7 y + 6 = 2 y^2 - 4 y - 3 y + 6 = y (2 y - 3) - 2 (2 y - 3):
5 y (2 y - 3) - 2 (2 y - 3)
Factor 2 y - 3 from y (2 y - 3) - 2 (2 y - 3):
Answer:  5 (2 y - 3) (y - 2)
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A parabola is graphed such that the axis of symmetry is x = 3. One of the x-intercepts is (5, 0). What is the other x-intercept?
Stells [14]

The axis of symmetry is the fold line that splits the parabola down the middle.

Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.

So if we know the axis of symmetry is x = 3 and one of our points

has the coordinates (5, 0), the other point will have the coordinates (3, 0).

The axis of symmetry is always halfway between the x-intercepts.

6 0
3 years ago
You have two pieces for fabric. One piece is 6 feet wide and the other piece is 7.5 feet wide. You want to cut both pieces into
My name is Ann [436]

Answer:

<em>Strips should be </em><em>1.5 ft wide.</em>

Step-by-step explanation:

Given:

Width of 1st piece = 6 ft

Width of 2nd piece = 7.5 ft

To find:

To find the maximum width possible to make strips of equal size from both the pieces.

Solution:

This problem can be visualized as if we are given two numbers and we have to find the Highest common factor for both of them i.e. HCF of 6 and 7.5 will be our answer.

Let us try to factorize the given factors:

7.5 = 3 \times 2.5 = \underline {3 \times 0.5} \times 5

6 = 3 \times 2 = \underline {3 \times 0.5 }\times 2

The common factors are highlighted above as underlined.

Therefore, the answer is 3 \times 0.5 = <em>1.5 ft </em>

<em></em>

<em>Strips should be </em><em>1.5 ft wide.</em>

5 0
3 years ago
85001 round to the nearest ten thousand
sveticcg [70]
95000 Is rounded to the nearest ten thousands
7 0
4 years ago
Read 2 more answers
When renting a limo for prom, the number of people is inversely proportional to the cost per person. Originally there were 5 peo
Oksana_A [137]

Answer: The cost per person would be $15.20.

Step-by-step explanation: The price $40 per person when you have 5 people, is 8,8x the price per person. So, if you have 6 people more, you have 8,8x6 less in the price.

8,8 x 6 = 52,80.

44 x 5= 220,00. That was the cost for the limo for 5 people.

It means 220,00 - 52,80 = 167,20 (new price for 11 people)

167,20 ÷ 11 (new price per person) = 15,20.

3 0
3 years ago
Need someone’s help please???
goldenfox [79]
The first one 5 lb is the answer
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