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3 years ago

David bought 4.75 pounds of chicken for $11.40. How much did he pay per pound?

Mathematics

2 answers:

Luden [163]3 years ago

6 0

David payed $2.40 per pound

Genrish500 [490]3 years ago

4 0

He paid 2.40 per pound

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3x-7y=6<br> 2x+7y=4<br> Solve by elimination

artcher [175]

$3x-7y=6 \\
\underline{2x+7y=4} \\
3x+2x=6+4 \\
5x=10 \ \ \ |\div 5 \\
x=2 \\ \\
3x-7y=6 \\
3 \times 2-7y=6 \\
6-7y=6 \ \ \ |-6
\\ -7y=0 \ \ \ |\div (-7) \\
y=0 \\ \\
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3 years ago

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Pls help f(x)=2(x+1)^2+3

lidiya [134]

Answer:

y= 2x² + 2x +3

Step-by-step explanation:

y=f(x)

y=2( x^2 + 1^2 +2(x)(1) ) + 3

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3 years ago

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Find all points having an x-coordinate of 5 whose distance from the point (2, 6) is 5

galina1969 [7]

Answer:

(5,2) and (5,10)

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$points\ (2,6),(5,y)\\d=5$

substitute in the formula

$5=\sqrt{(y-6)^{2}+(5-2)^{2}}$

solve for y

$5=\sqrt{(y-6)^{2}+(3)^{2}}$

$5=\sqrt{(y-6)^{2}+9}$

square both sides

$25=(y-6)^{2}+9$

$(y-6)^{2}=25-9$

$(y-6)^{2}=16$

square root both sides

$y-6=\pm4$

$y=6\pm4$

$y=6+4=10$

$y=6-4=2$

therefore

The points are

(5,2) and (5,10)

6 0

3 years ago

What is the slope of the line that passes through the points (8,-8) and (5,-1)?

dezoksy [38]

Hey there!

Answer :

$\sf{ \purple{ \boxed{\bold{m = - \dfrac{7}{3} }}}}$

$\\$

Explanation :

We are given the points $\sf{P_1(\overbrace{ \blue{8}}^{\blue{x_1}} ,\underbrace{\orange{-8}}_{ \orange{y_1}}) \: and \: P_2(\overbrace{ \green{5}}^{\green{x_2}} ,\underbrace{\red{-1}}_{\red{y_2} })}$ . To find the slope $\sf{\purple{m}}$ of such a line, we use the slope formula which is the following:

$\sf{ \purple{m} }= \dfrac{\Delta y}{\Delta x} = \dfrac{ \red{y_2} - \orange{y_1}}{ \green{x_2 }- \blue{x_1}}$

$\\$

⇢Now, by plugging in our values, we get :

$\sf{ \purple{m}} = \dfrac{ \red{ - 1} - \orange{( - 8)}}{ \green{5} \: - \: \blue{8}} = \dfrac{ \: \: 7 \: }{ - 3 \: } \\ \\ \implies \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}}$