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sertanlavr [38]
3 years ago
7

Which of the following numbers isn't a prime number? 1057 263 157 3163

Mathematics
1 answer:
salantis [7]3 years ago
6 0
Only te 1st one (1057), since it's a multiple of 7 (151 x 7 = 1057)
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Help. I need help with these questions ( see image).<br> Please show workings.
Andrew [12]

9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  \text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the <em>power rule</em>.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

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If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

3 0
3 years ago
What is y=-2/3 x + 4 in standard form?
maxonik [38]

Answer:

2x + 3y = 12

Step-by-step explanation:

Standard form is Ax + By = C, A, B and C must be intergers, cannot be  fractions or decimals

y = -2/3x + 4 First we want to get rid of  the fractions.  There is only one, so if we multiply both sides by 3 that should do it.

3y = -2x + 12 Now make the constant be on one side by itself

2x + 3y = 12

5 0
3 years ago
Read 2 more answers
Convert 15 m² to in². How many square inches are in 15 square meters?
Sati [7]

Answer:

23250

Step-by-step explanation:

23250 square inches are in 15 square meters.

3 0
3 years ago
Tamara was asked to write an example of a linear functional relationship. She wrote this example:
Llana [10]

Answer:

Tamara's example is in fact an example that represents a linear functional relationship.

  • This is because the cost of baby-sitting is linearly related to the amount of hours the nany spend with the child: the more hours the nany spends with the child, the higher the cost of baby-sitting, and this relation is constant: for every extra hour the cost increases at a constant rate of $6.5.
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  • The relation is linear because the cost increases proportionally with the amount of hours ($6.5 per hour).
  • See table attached, were you can see the increses in total cost of baby sitting (y) when the amount of hours (x) increases.

8 0
3 years ago
Jhvjkelhndbkjehlhdbhlfoei;hljkdv joer
alexandr1967 [171]

Answer:

2.5

Step-by-step explanation:

5 0
3 years ago
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