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3 years ago

Which ordered pair is a solution of 2x + 3y = 10 Choose 1 answer:

Mathematics

1 answer:

yaroslaw [1]3 years ago

6 0

Answer:

y= -2/3 +10/3

Step-by-step explanation:

2x + 3y=10

3y= -2x +10

divide all by 3

y= -2/3 +10/3

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Water stations will be placed every 600 m of a 15 km race how many water stations will be needed

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I'm not sure but I think it's 40 water stations...

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3 years ago

22<br> 1 point<br> If f (x) = 7– 41, what is f (-10)?

Anettt [7]

Answer:

f(x)+41 f(-10)=7

Step-by-step explanation:

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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 $\dfrac{7}{9}$ .

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3 years ago

[(3•2+5)2]2-4 12356789

Gelneren [198K]

Answer:

−49427112 us the correct answer

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3 years ago

Micheal just moved here from Chicago. Micheal has red hair, therefore people from Chicago have red hair

Snezhnost [94]

Answer:

inductive

Step-by-step explanation:

Inductive reasoning is based on generalization, and making conclusions without hard evidence. If Micheal has red hair and is from Chicago, inductive reasoning draws the conclusion that everyone in Chicago has red hair. Deductive reasoning would be predicting that everyone in Chicago has red hair, and then testing it to see if you are right.

3 0

3 years ago

Read 2 more answers