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inn [45]
3 years ago
6

Evaluate the expression below for x = 4, y = –5, and z = 2.

Mathematics
2 answers:
ElenaW [278]3 years ago
6 0

Answer:

<h2>D. 76</h2>

Step-by-step explanation:

Put x = 4, y = -5 and z = 2 to the expression 3x² - 4y + xz and use PEMDAS:

3(4)² - 4(-5) + (4)(2)

= 3(16) + 20 + 8

= 48 + 20 + 8

= 76

kherson [118]3 years ago
3 0

Answer:

<h2>76</h2>

Step-by-step explanation:

Substitute the values into the expression

  • x = 4
  • y = –5
  • z = 2.

3x^2 -4y+xz

3(4)^2 -4(-5)+(-5)(2)

Use BIDMAS, or another alternative.

B - Brackets.

We don't have any operations in brackets. We only have integers on their own.

I - Indices.

(4)^2 = 16

Substitute this into the expression

(3)(16) - 4(-5) + (-5)(2)

D - Division, M - Multiplication

Two brackets side by side means multiply.

(3)(16) = 3 * 16 = 48

4(-5) = 4 * -5 = -20

(4)(2) = 4 * 2 = 8

Substitute this into the expression.

48 - -20 + 8

A - Addition, S - Subtraction

Two minus signs become addition.

However, two different signs means minus.

48 - -20 + 8

48 + 20 + 8

68 + 8

76

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$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

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x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

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Form equation (1), we will get:

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Upon substituting this value in equation (2), we will get:

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1960+0.07y=3,430

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Therefore, an amount of $21,000 was invested at a rate of 14%.

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