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3 years ago

Complete the equation for the linear function whose graph contains the point (5,-3) and has a slope of -1.25

Mathematics

1 answer:

Genrish500 [490]3 years ago

3 0

Y=mx+b m=-1.25
(5; -3)
-3=(-1.25)5+b
-3=-6.25+b
b=-3+6.25
b=3.25
so the equation is: y=(-1.25)x+3.25

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Laura walked 6 1/2 laps of a circular path in 2 hours. At that rate, how many laps of the

NARA [144]

Answer:

3.25 in one hour

Step-by-step explanation:

6.5 ÷ 2 = 3.25

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3 years ago

A restaurant owner collected data about the types of items customers ordered. The table shows the probability that a customer wi

Ivanshal [37]

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7 0

1 year ago

I need help with these problems can someone help me!

Tanya [424]

Answer:

1. 14 - 4= 10 2. 8- (-2) = 6 3. 4 - 16 = -12 4. -6 - 3 = -9 5. 13 + (-8) = 5 6. 8 - (-6) = 14

Step-by-step explanation:

5 0

3 years ago

What is275,608 rounded to the newest thounsand

kumpel [21]

Stays the Same: 1,2,3,4
Goes Up: 5,6,7,8, etc...

1. The number 5 is located in the thousands place

2. Since the number 6 is located in the hundreds place, it's telling 5 to go up a number (turning 5 into a 6)

275,608 ⇒ 276,000

So the answer is 276,000

4 0

3 years ago

Help help help guys show you solution

Mars2501 [29]

Answer:

Step-by-step explanation:

1) y = 2x ----------(I)

x + y = 6 -----------(II)

Plug in y =2x in equation (II)

x + 2x = 6 {Add like terms}

3x = 6

x = 6/3

x = 2

Plugin x = 2 in (I)

y = 2*2

y = 4

Check:

LHS = x +y

= 2 + 4

= 6 = RHS

2)5x + 10y = 3 ------------(I)

x = (-1/2) y ------------(II)

Substitute x = (-1/2)y in (I)

$5*\frac{-1}{2}y + 10y = 3\\\\\frac{-5}{2}y+ \frac{10*2}{1*2}y = 3\\\\\frac{-5}{2}y+\frac{20}{2}y=3\\\\\frac{-5+20}{2}y = 3\\\\\frac{15}{2}y=3\\\\ y = 3*\frac{2}{15}\\\\ y = \frac{2}{5}$

Substitute y = (2/5) in equation (II)

$x = \frac{-1}{2}*\frac{2}{5}\\\\x = \frac{-1}{5}$

Check:

Substitute x and y value in equation (I)

$LHS = 5*\frac{-1}{5}+10*\frac{2}{5}\\\\ = -1 + 2*2\\\\ = -1 + 4\\ = 3 = RHS$

3) y - x = 3x + 2

y = 3x + 2 + x

y = 4x + 2 ---------------(I)

2x + 2y = 14 - y

2x + 2y +y = 14

2x + 3y = 14 ------------------(II)

Substitute y = 4x + 2 in equation (II)

2x + 3(4x +2) = 14

2x + 3*4x + 3*2 = 14

2x + 12x + 6 = 14

14x + 6 = 14

14x = 14 - 6

14x = 8

x = 8/14

x = 4/7

Substitute 'x' value in (I)

$y = 4*\frac{4}{7} +2\\\\y = \frac{16}{7}+2\\\\y= \frac{16}{7}+\frac{2*7}{1*7}\\\\y=\frac{16}{7}+\frac{14}{7}\\\\y=\frac{30}{7}$

Check:

 $LHS = 2x + 3y\\\\ = 2*\frac{4}{7}+3*\frac{30}{7}\\\\ = \frac{8}{7}+\frac{90}{7}\\\\=\frac{8+90}{7}\\\\=\frac{98}{7}\\\\=14 = RHS$ 

6 0

3 years ago