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3 years ago

Round 0.142 to the nearest tenth

2 answers:

6 0

The 2 is irrelevant, the 4 determines whether you round up or down. since the four is less than 5 you round down. ( if the number to the right is 5 or greater you round up, if it is less than 5 you round down
0.142 = 0.100 = 0.1

hjlf3 years ago

5 0

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down (no change).

0.142 ≈ 0.1

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What the y-intercept of (8,0) and (3,7)

Anettt [7]

Answer:

$\sf \bf y - intercept = \dfrac{56}{5}$

Step-by-step explanation:

Y-intercept:

(8,0) ; x₁ = 8 & y₁ = 0

(3,7) ; x₂= 3 & y₂ = 7

First find the slope of the line.

$\sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}$

$\sf = \dfrac{7 - 0}{3 - 8}\\\\ =\dfrac{7}{-5}\\\\=\dfrac{-7}{5}$

slope y-intercept form of the line: y = mx + b

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1 year ago

Two linear equations are shown. A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFr

Lorico [155]

Answer:

$(7,\frac{13}{3})$

Step-by-step explanation:

we have

The equation of the first line

$y=\frac{1}{3}x+2$ ------> equation A

The equation of the second line

$y=\frac{4}{3}x-5$ ------> equation B

Solve the system of equations by elimination

Multiply equation A by -4 both sides

$(-4)y=(-4)(\frac{1}{3}x+2)$

$-4y=-\frac{4}{3}x-8$ --------> equation C

Adds equation B and equation C

$y=\frac{4}{3}x-5\\-4y=-\frac{4}{3}x-8\\--------\\y-4y=-5-8\\-3y=-13\\y=\frac{13}{3}$

Find the value of x

substitute the value of y

$\frac{13}{3}=\frac{1}{3}x+2$

$\frac{1}{3}x=\frac{13}{3}-2$

Multiply by 3 both sides

$x=13-6$

$x=7$

therefore

The solution to the system of equations is the point $(7,\frac{13}{3})$

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Step-by-step explanation:

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