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nexus9112 [7]
2 years ago
9

Pls help me with this. i have finals tomorrow and i dont get this

Mathematics
1 answer:
Serhud [2]2 years ago
3 0

Answer:

We're here to help! Let me take this slowly.

44. First, we have the x-coordinate of the vertex to be -b/2a which is 16. Plugging 16 in, we have y-coordinate to be 135.

Notice that it is y=(x-7)(x-1).

So, we can just plug in values for x and y. Once you've got a lot of points, you can connect the dots and see how you can graph it.

The axis of symmetry is the x-coordinate of the vertex, or x=16.

45. Do the same method as mentioned above. I personally think that using transformations are more confusing, but that's just opinion. The axis of symmetry is x=-(-4)/2(-1) = -2, so axis of symmetry is x=-2.

46. We have x=-4 or x = 1/2.

47. We have (y-7)(y-1) = 0 ==> y=7,y=1

48. We have w^2 = 9, so w = +/- 3

49. We have (p-10)(p-3)=0, so p=10, p=3

50. We have (3m+1)(m+3)=0, so m=-1/3, m=-3

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Answer:

We conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

Step-by-step explanation:

We know that the domain of a function is the set of inputs or argument values for which the function is defined.

From the given graph, it is cleared that the function g starts from the x-value x = -7 and ends at x = 4.

It means the function is defined for the set of input values from x = -7 to x = 5 for which the function is defined.

Therefore, we conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

4 0
3 years ago
Principal clements wants to buy a pencil for each of the 57 fourth graders in her school. The pencils come in packages of 6. How
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Principal clements needs to buy 10 packages

<em><u>Solution:</u></em>

Given that, Principal clements wants to buy a pencil for each of the 57 fourth graders in her school

The pencils come in packages of 6

Therefore,

Total number of students = 57

<em><u>Thus, divide 57 by 6 to get the number of packages clements need to buy</u></em>

\text{Number of packages } = \frac{\text{total number of students }}{6}<em><u></u></em>

<em><u>Substituting the given values we get,</u></em>

\text{Number of packages } = \frac{57}{6} \\\\\text{Number of packages }= 9.5 \approx 10

Thus principal clements needs to buy 10 packages

8 0
3 years ago
Simplify the expression x2+x (x-5)-x+7
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Answer:

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Step-by-step explanation:

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