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4 years ago

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Please answer the question from the attachment.

1 answer:

ddd [48]4 years ago

5 0

$\left\{\begin{array}{ccc}x-4y=27\\3x+y=24&|multiply\ both\ sides\ by\ 4\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-4y=27\\12x+4y=96\end{array}\right}\\.\ \ \ 13x=123\ \ \ |divide\ both\ sides\ by\ 13\\.\ \ \ \ \ x=\dfrac{123}{13}\\\\subtitute\ to\ 3x+y=24\\\\3\cdot\dfrac{123}{13}+y=24\\\\\dfrac{369}{13}+y=\dfrac{24\cdot13}{13}\ \ \ \ |subtract\ \dfrac{369}{13}\ from\ both\ sides\\\\y=\dfrac{312}{13}-\dfrac{369}{13}\\\\y=-\dfrac{57}{13}$

$\left\{\begin{array}{ccc}x=\dfrac{123}{13}\\\\y=-\dfrac{57}{13}\end{array}\right$

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George decides to walk from his home to Tina's house down the street. On the way,

hichkok12 [17]

Answer:

The coordinates of the gas station are (5, 9)

Step-by-step explanation:

As given,

George begins at (2,3), ends at (9,17), and stops at the gas station at (x,y). If the part to part ratio is 3:4

A P B

(2, 3) (x, y) (9, 17)

3 : 4

we use the Interval Division formula :

If P(x,y) lies on the interval A(x1,y1), B(x2,y2) such that AP:PB=a:b, with a and b positive, then

x= $\frac{bx1 + ax2}{a + b}$

y= $\frac{by1 + ay2}{a + b}$

Here , (x1, y1) = (2, 3)

(x2, y2) = (9, 17)

a : b = 3 : 4

⇒ x= $\frac{bx1 + ax2}{a + b}$ = $\frac{4(2) + 3(9)}{3 + 4} = \frac{8 + 27}{7} = \frac{35}{7} = 5$

y= $\frac{by1 + ay2}{a + b}$ = $\frac{4(3) + 3(17)}{3 + 4} = \frac{12 + 51}{7} = \frac{63}{7} = 9$

∴ The coordinates of the gas station are (5, 9)

3 0

3 years ago

Divide f(x) by d(x), and write a summary statement in the form indicated.. . f(x) = x4 + 4x3 + 6x2 + 4x + 5; d(x) = x2 + 1. . A.

adelina 88 [10]

F ( x ) : d ( x ) = $(x^{4} + 4 x^{3} + 6 x^{2} + 4x + 5 ) : ( x^{2} + 1 ) =$
= x² + 4 x + 5
Answer:
B ) f ( x ) = ( x² + 1 ) ( x² + 4 x + 5 )

6 0

3 years ago

Read 2 more answers

5w +3w=40 simplify your answer as much as possible

777dan777 [17]

Answer:

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Step-by-step explanation:

8w=40

/8 /8

w=5

5 0

3 years ago

Read 2 more answers

6b - 1 < -7 or 2b + 1 > 5

stealth61 [152]

2b+1>5 I believe because 6b-1<-7 is wrong

3 0

3 years ago

if each shirt costs$15 and you have$48 to spend how many shirts do you buy and how much money is leftover?

Natali [406]

Answer: 33

Step-by-step explanation: you subtract 15 from 48 and get 33

8 0

3 years ago