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Dmitrij [34]
3 years ago
10

Can anyone help me I don’t know how to do this

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
Start with the vertex form of the equation of a quadratic. Fill in the numbers you know and solve for the one you don't know.
  y = a(x -h)² +k . . . . . . . . for some stretch factor "a" and vertex (h, k)

1. Vertex = (h, k) = (0, 0). Stretch factor can be found from the given point (x, y).
  8 = a(-2 -0)² +0
  8 = 4a . . . . . . . . simplify
  2 = a . . . . . . . . . divide by the coefficient of "a"
Your equation is y = 2x².

Note the above method for solving these problems. It repeats.


2. As above, substitute what's given and solve for what's not.
  3 = a(1 -2)² +0
  3 = a
Your equation is y = 3(x -2)²

3. Repeat
  -4 = a(-5 +3)² +0
  -4 = 4a
  -1 = a
Your equation is y = -(x +3)²

4. Are you seeing the pattern yet?
  0 = a(-1 -0)² +1
  0 = a +1
  -1 = a
Your equation is y = -x² +1

5 & 6. You know that if you want a zero (x-intercept) to be located at x=a, then a factor of the quadratic will be (x -a). Multiply the factors together to get your quadratic function.

5. y = (x -0)*(x -2) = x² -2x

6. y = (x +5)*(x -5) = x² -25 . . . . . . . . . . you should recognize this "special form", the factoring of the difference of squares
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3 years ago
I need help on my math homework
xxTIMURxx [149]

Answer: the first one is True and the second one is false

Step-by-step explanation:

3 + 5x = 23

so replace x with 4 you get 3 + 5 * 4 = 3 + 20 = 23

this is equal to 23 so it is true

2x - 6 = 9

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3 years ago
A company that specializes in language tutoring lists the following information concerning its English-speaking employees: 23 em
galben [10]
I assume the sentences:
"23 employees speak German; 29 speak French; 33 speak Spanish"
mean these speak ONLY the respective languages other than English.
Then the calculations boil down to those who speak ONLY two languages, noting that 8 speak French, German and Spanish, which need to be subtracted from 
1. French and Spanish: 43-8=35 (speak only two foreign languages)
2. German and French: 38-8=30 (speak only two foreign languages)
3. German and Spanish: 48-8=40 (speak only two foreign languages).

Now We add up the total number of employees:
zero foreign language = 7
one foreign language  = 23+29+33=85
two foreign languages = 30+35+40=105
three foreign languages=8
Total =7+85+105+8=205

(a) Percentage of employees who speak at least one foreign lanugage = (85+105+8)/205=198/205=.966=96.6%
(b) Percentage of employees who speak at least two foreign lanugages = (105+8)/205=113/205=.551=55.1%
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Please help with the question attached. I really need help! Thanks!
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To solve this question you would first multiply all the dimensions of the pillar together. That would be:

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Then you take the weight of the pillar and divide it by the amount of square feet:

12,000 / 75 = 160 pounds per square foot.

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