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2 years ago

Which linear inequality best represents the graph shown?

Mathematics

1 answer:

zlopas [31]2 years ago

7 0

Answer:

Step-by-step explanation:

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Which statements must be true regarding the diagram?<br> (please check more than one answer)

nikdorinn [45]

Try this option:
- true;
- not true;
- true;
- true;
- not true.

4 0

3 years ago

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deirdre is factoring the polynomial x squared plus 2x minus 24. which combination can she use to replace the middle term, 2x ?

Shkiper50 [21]

we are given with

The polynomial x squared plus 2x minus 24

$\\\x^2+2x-24\\\\\=x^2+6x-4x-24\\\\\=x(x+6)-4(x+6)\\\\\=(x-4)(x+6)\\$

Hence the required combination is 6x and -4x

3 0

3 years ago

A fraction becomes 4÷5 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and den

tia_tia [17]

Answer:

$\dfrac{7}{9}$

Step-by-step explanation:

$\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1$

$\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5$

Putting it in matrix form

$\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}$

From Cramer's rule we have

$x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7$

$y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9$

Verifying the results

$\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}$

$\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}$

Hence, the fraction is $\dfrac{7}{9}$ .

6 0

3 years ago

(70 points)

meriva

$f(x) = -0.26x^2 + 1.2x + 5.7\\\\\\f'(x)=(-0.26x^2 + 1.2x + 5.7)'=(-0.26x^2)'+(1.2x)'+(5.7)'=\\\\=-0.26(x^2)' + 1.2(x)' + (5.7)'=-0.26\cdot(2x) + 1.2\cdot1+0=\\\\=\boxed{-0.52x+1.2}$

Answer C)

8 0

3 years ago

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What is 2/10 +1/100 =

Murljashka [212]

Answer: 0.21

Step-by-step explanation:

2/10=0.2

1/100=0.01

0.2+0.01=0.21

5 0

3 years ago

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