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kari74 [83]
2 years ago
14

Evaluate the expression, if x = 9, y = 3, and z = 5. z2 • (x-y)

Mathematics
2 answers:
Bad White [126]2 years ago
3 0

\huge\text{Hey there!}


\mathsf{z^2 \times (x - y)}

\mathsf{= 5^2 \times (9 - 3)}

\mathsf{= 5 \times 5 \times (9 - 3)}

\mathsf{= \bold{25}\times(9 - 3)}

\mathsf{= 25\times \bf 6}

\mathsf{= \bf 150}


\huge\text{Therefore, your answer should be: }

\huge\boxed{\frak{150}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}


~\frak{Amphitrite1040:)}

S_A_V [24]2 years ago
3 0

Answer:

150

Step-by-step explanation:

substitute the given values into the expression

z² × (x - y)

= 5² × (9 - 3)

= 25 × 6

= 150

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What is the constant of proportionality in the equation?
IrinaVladis [17]

Answer:

The constant of proportionality is option D i.e 5.

Step-by-step explanation:

Variation:

Variation problems involve fairly simple relationships or formulas, involving one variable being equal to one term. There are two types of variation i.e.

  1. Direct variation
  2. Inverse variation

Direct Variation:

Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

Example y=kx

where, k  is constant of proportionality.

The above given example is of Direct Variation

∴ y = 5 x

∴ k = 5 = constant of proportionality.

Inverse Variation:

Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

Example yx=k

where, k  is constant of proportionality.

5 0
3 years ago
Read 2 more answers
In a large school district, for every one male teacher, there are three female teachers. Four teachers are selected at random to
serg [7]

Answer:

It would be a female teacher 3 out of 4 times, and male 1 out of 4. You could make a circle, divide it into quarters, make a spinner and likely get male once of four times.

6 0
3 years ago
Carmine buys 2 plates for $4 each. He also buys 12 bowls. Each bowl costs twice as much as each plate. The store is having a sal
Tasya [4]

Answer

2p+12b=12

Step-by step explanation

I used p for plates and b for bowls\

2p+12b=4+(4*2)

2p+12b=12

4 0
3 years ago
Read 2 more answers
A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x i
steposvetlana [31]

Answer:

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

C = - 5x ^ 3 + 6x ^ 2 + 15x \\\\\Rightarrow -5x^3+6x^2+15x -C=0\cdots(i)

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

-5x^3+6x^2+15x -14=0\cdots(ii)

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

(x-2)(-5x^2-4x+7)=0 \\\\\Rightarrow x-2=2 \; or \; -5x^2-4x+7=0

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

-5x^2-4x+7=0 \\\\\Rightarrow x= \frac {-(-4)\pm \sqrt {(-4)^2-4\times (-5)7}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm \sqrt {156}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm 12.49}{2\times (-5)} \\\\\Rightarrow x = \frac {4+ 12.49}{2\times (-5)}, \frac {4- 12.49}{2\times (-5)} \\\\\Rightarrow x = -1.649, 0.849

As the number of items cant be negative, so x= 0.849 thousand is the other number of items.

Hence, the other number of items for the same profit is 849 items.

4 0
3 years ago
Find the scalar and vector projections of b onto<br> a.a = i + j + k, b = i - j + k
yarga [219]
Try this option.
1 is for scalar (result is number), 2 is for vector (result is vector).

5 0
3 years ago
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