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2 years ago

6

Can you write the standard form of the line that contains a slope of 1/2 and y-intercept of 3?

1 answer:

slavikrds [6]2 years ago

8 0

Standard form is ax+by=c
normally a is positive and a and b are integres
y=mx+b
m=slope
b=yint
y=1/2x+3
minus 1/2 x both sides
-1/2x+y=3
times -2
x-2y=-6

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Simplify each algebraic expression.

GREYUIT [131]

Answer:

$\huge\boxed{\sf-2x+28}\\\\\huge\boxed{\sf 10x-4}\\\\\huge\boxed{\sf 56-5x}\\\\\huge\boxed{\sf x-13}$

Step-by-step explanation:

$\sf 2x + 4(7-x) \\\\Resolving \ Parenthesis\\\\2x + 28-4x \\\\Combining\ like\ terms\\\\2x-4x +28\\\\-2x + 28\\\\\rule[225]{225}{2}$

$\sf \\12x-(4+2x)\\\\12x-4-2x\\\\Combining \ like \ terms\\\\12x-2x - 4\\\\10x-4 \\\\\rule[22]{225}{2} \\2(10-x)+3(12-x) \\\\Resolving \ Parenthesis\\\\20-2x + 36 -3x\\\\Combining \ like \ terms\\\\20+36 -2x-3x\\\\56 - 5x \\\\\rule[225]{225}{2}$

$\sf 7(x-1)-6(x+1)\\\\Resolving \ Parethesis\\\\7x-7-6x-6\\\\Combining \ like \ terms\\\\7x-6x-7-6\\\\x - 13\\\\\rule[225]{225}{2}$

Hope this helped!

~AnonymousHelper1807

3 0

2 years ago

Find the collame of boid of dimension 16cm X 10m x 6cm.

swat32

Question: Find the volume of cuboid of dimension 16cm X 10cm x 6cm.

Answer: Given Length=16cm, Breadth=10cm, Height=6cm

Using Volume formula for cuboid:-

$volume = l \times b \times h$

$→16 \times 10 \times 6$

$→960 \: cm^{3}$

So, volume of cuboid is <u>9</u><u>6</u><u>0</u><u> </u><u>cm³</u>

7 0

2 years ago

Subtract and simplify.<br><br> (2y + 14.6m + 3.8) – (34.8m + 15.6 + 2y)

irina1246 [14]

Answer:

-20,2m-11,8

Step-by-step explanation:

rewrite it

2y+14,6m+3,8-(34,8m+15,6-2y)

remove the opposites

and then simplify

-20,2m-11,8

im not sure if this makes sense

5 0

2 years ago

Read 2 more answers

Madison worked her 40 regular hours last week plus 12 overtime hours at the time and a half rate. Her gross pay was $842.00. Wha

GrogVix [38]

she has $13.80 every hour because 842 divided by 40 plus 12 equals 61 so then and you cant round anymore.

3 0

3 years ago

The mean number of words per minute (WPM) typed by a speed typist is 149 with a standard deviation of 14 WPM. What is the probab

Troyanec [42]

Answer:

78.81%

Step-by-step explanation:

We are given;

Population mean; μ = 149

Sample mean; x¯ = 147.8

Sample size; n = 88

standard deviation; σ = 14

Z-score is;

z = (x¯ - μ)/(σ/√n)

Plugging in the relevant values;

z = (147.8 - 149)/(14/√88)

z = -0.804

From z-distribution table attached, we have; p = 0.21186

P(X > 147.8) = 1 - 0.21186 = 0.78814

In percentage gives; p = 78.81%

6 0

2 years ago