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Ray Of Light [21]
3 years ago
7

8×3÷(4²-13)+5²+4×3 Arrange the steps in the order in which they are preformed

Mathematics
1 answer:
mina [271]3 years ago
6 0

<u>The following are the evaluation steps in order for the 8 \times 3 \div\left(4^{2}-13\right)+5^{2}+4 \times 3 given expression:</u>

Step 1: First perform exponentiation inside parentheses

             4^{2}

Step 2: Next, evaluate the contents of parentheses

               (16 – 13)

Step 3: Before any multiplication or division, exponentiation outside parentheses should be done.

               5^{2}

Step 4: Perform multiplication and division from left to right

                8 \times 3

Step 5: Perform multiplication and division from left to right

              \frac{24}{3}

Step 6: Perform multiplication and division from left to right

                4 \times 3

Step 7: After all the multiplication and division, addition should be performed from left to right

                  (8 + 25)  

Step 8: Perform addition from left to right

                    (33 + 12)

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Step-by-step explanation:

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15. The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17. The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Step-by-step explanation:

Any quadratic function has:

1. A vertex form form f(x) = a(x - h)² + k, where (h , k) are the

   coordinates of its vertex point

2. A standard form g(x) = ax² + bx + c, where a , b , c are constant and

   a is the coefficient of x², b is the coefficient of x and c is the

    y-intercept

3. the x-coordinate of the vertex point h = \frac{-b}{2a} and

    k = f(h)

15.

∵ f(x) = x² + 8x - 10

∴ a = 1 and b = 8

∵ h = \frac{-b}{2a}

∴ h = \frac{-8}{2(1)}=-4

∴ h = -4

∵ k = f(h)

∴ k = f(-4)

- Substitute x by -4 in f(x)

∴ k = (-4)² + 8(-4) - 10

∴ k = 16 - 32 - 10

∴ k = -26

∴ f(x) = (x - -4)² + (-26)

∴ f(x) = (x + 4)² - 26

The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17.

∵ g(x) = (x + 3)² - 4

- Lets solve the power 2 of the bracket:

 (1st + 2nd)² = (1st)(1st) + 2(1st)(2nd) + (2nd)(2nd)

∵ (x + 3)² = (x)(x) + 2(x)(3) + (3)(3)

∴ (x + 3)² = x² + 6x + 9

∴ (x + 3)² - 4 = (x² + 6x + 9) - 4

∵ 9 - 4 = 5

∴ (x + 3)² - 4 = x² + 6x + 5

The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Learn more:

You can learn more about the vertex form of quadratic function in brainly.com/question/9390381

#LearnwithBrainly

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