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2 years ago

Which expression is equal to:

Mathematics

2 answers:

Dima020 [189]2 years ago

5 0

I think the answer is C

sertanlavr [38]2 years ago

4 0

Answer: C

Step-by-step explanation: since the x’s are common terms, you just add them together

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Using Cramer’s rule, what is the value of x in the solution to the system of linear equations below?

Aloiza [94]

9514 1404 393

Answer:

d 2

Step-by-step explanation:

The system of equations can be written in augmented matrix form as ...

$\displaystyle\left[\begin{array}{cc|c}-\frac{1}{2}&3&-4\\-1&-1&-1\end{array}\right]$

The value of x found by Cramer's rule is the ratio of two determinants. The numerator is the coefficient matrix with the x-column replaced by the constant column. The denominator is the coefficient matrix.

$\displaystyle x=\frac{\left|\begin{array}{cc}-4&3\\-1&-1\end{array}\right| }{\left|\begin{array}{cc}-\frac{1}{2}&3\\-1&-1\end{array}\right|}=\frac{(-4)(-1)-(-1)(3)}{(-\frac{1}{2})(-1)-(-1)(3)}=\frac{4+3}{\frac{1}{2}+3}\\\\\boxed{x=2}$

6 0

2 years ago

4/5-1/2 help ASAP NEED THIS ANSWER FOR TEST

Furkat [3]

Answer:

0.3

$\frac{3}{10}$

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Jimmy thought he had purchased 7 folders, but purchased 6. What was his percent error?

OleMash [197]

Answer:

Step-by-step explanation:

Percent Error = | Actual Yield-Theoretical/ Theoretical Yield | *100%

Error= |-1/7|*100%= 14.29%

4 0

3 years ago

Solve for x<br> x ^2 +3x−4=0

Alla [95]

Answer:

= 1

= − 4

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not

Tpy6a [65]

Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

$\frac{SR}{PR}=\frac{RT}{RQ}=\frac{TS}{QP}$

Furthermore,

$PS=PR-RS$

Finding PR and RS,

$\begin{gathered} ST=4+PS \\ SR=12 \\ PQ=15 \end{gathered}$

Then,

$\frac{12}{PR}=\frac{TS}{15}$ $\begin{gathered} \Rightarrow\frac{12}{PR}=\frac{4+PS}{15} \\ \Rightarrow\frac{12}{PS+12}=\frac{4+PS}{15} \end{gathered}$

Solving for PS,

$\begin{gathered} 12\cdot15=(PS+12)(PS+4) \\ \Rightarrow180=PS^2+16PS+48 \end{gathered}$

Solve the quadratic equation in terms of PS, as shown below

$\begin{gathered} \Rightarrow PS^2+16PS-132=0 \\ \Rightarrow PS=\frac{-16\pm\sqrt[]{16^2-4(-132)}}{2}=\frac{-16\pm28}{2} \\ \Rightarrow PS=-22,6 \end{gathered}$

And PS is a segment; therefore, it has to be positive.

Hence, the answer is PS=6

3 0

11 months ago