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3 years ago

Can you solve number 7, number 8, and number 9

Mathematics

1 answer:

solmaris [256]3 years ago

5 0

Hello!

To solve each expression, you need to substitute the given value for each given variable. If there is an x in the expression, then you substitute 5.07. If there's a y, then you substitute 1.5, and if there's a z, then you substitute 0.403.

7. 3.2x + y (substitute x = 5.07 and y = 1.5)

3.2(5.07) + (1.5)

16.224 + 1.5

17.724

8. yz + x (substitute y = 1.5, z = 0.403, and x = 5.07)

(1.5)(0.403) + (5.07)

0.6045 + 5.07

5.6745

9. z × 7.06 - y (substitute z = 0.403 and y = 1.5)

(0.403) × 7.06 - (1.5)

2.84519 - 1.5

1.34518

Final answers:

Number 7: 17.724
Number 8: 5.6745
Number 9: 1.34518

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Of the 145 students who took a mathematics exam, 80 correctly answered the first question, 81 correctly answered the second ques

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Answer: 64

Step-by-step explanation:

the Kids that answered correct in any of questions 1 and 2 got at least one right so subtract the highest number which is 81 students by all the general amount of them, 145 that’s 64.

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3 years ago

What is the range of this equation? f(x) = x + 41 – 2

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3 years ago

Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}

kompoz [17]

Answer:

The ordered pair $(-2,\, -4)$ is indeed a solution to the system:

$\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right.$ .

Step-by-step explanation:

Consider a system of equations about variables $x$ and $y$ . An ordered pair $(x_{0},\, y_{0})$ (where $x_{0}$ and $y_{0}$ are constant) is a solution to that system if and only if all equations in that system hold after substituting in $x = x_{0}$ and $y = y_{0}$ .

For the system in this question, $(-2,\, -4)$ would be a solution only if both equations in the system hold after replacing all $x$ in equations of the system with $(-2)$ and all $y$ with $(-4)$ .

The $\texttt{LHS}$ of the equation $y = (1/2)\, x - 3$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(1/2) \, (-2) - 3$ . The two sides are indeed equal.

Similarly, the $\texttt{LHS}$ of the equation $y = -2\, x - 8$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(-2)\, (-2) - 8$ . The two sides are indeed equal.

Thus, $x = (-2)$ and $y = (-4)$ simultaneously satisfy both equations of the given system. Therefore, the ordered pair $(-2,\, -4)$ would indeed be a solution to that system.