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natta225 [31]
3 years ago
15

Which is the graph of linear inequality x - 2y > -12 (The answer is D)

Mathematics
2 answers:
drek231 [11]3 years ago
7 0
Well done! That is the correct answer.
lukranit [14]3 years ago
5 0

Answer:

yup the answer is D

Step-by-step explanation:

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Write the equation of the line in fully simplified slope-intercept form.
PtichkaEL [24]

Answer:

Consider points (0, -5) and (-6, -1)

» General equation of a line:

{ \tt{y = mx + c}}

  • m is slope
  • c is y-intercept

<u> </u><u>S</u><u>l</u><u>o</u><u>p</u><u>e</u><u> </u><u>(</u><u>m</u><u>)</u><u>:</u>

{ \tt{m =  \frac{ - 1 - ( - 5)}{ - 6 - 0} }} \\  \\ { \tt{m =  \frac{4}{ - 6} }} \\  \\ { \tt{m =  -  \frac{2}{3} }}

<u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u> </u><u>(</u><u>c</u><u>)</u><u>:</u>

{ \tt{y = mx + c}}

consider point (0, -5)

{ \tt{ - 5 = c}} \\ { \tt{c =  - 5}}

Equation:

{ \boxed{ \tt{y =  -  \frac{2}{3} x - 5}}}

8 0
2 years ago
Mrs. Chan buys a new car for $21,000. She pays a sales tax of $0.06 for every $1. She pays a property tax of $16.80 on every $1,
lianna [129]

Answer:

$1612.80

Step-by-step explanation:

<u>Sales Tax</u> would be 0.06 * 21,000 = $1260

<u>Property Tax:</u>

16.80 for every 1000, so how many "1000"s are there in 21,000? Simple, 21 of them.

So the property tax would be 16.80 * 21 = $352.80

Hence, total taxes (for the year) = 1260 + 352.80 = $1612.80

4 0
3 years ago
Solve the equation for all real solutions in simplest form.<br> 3x2 - 12x + 11 = x
Ivanshal [37]

Answer:

(13 + or - (sign) square root(37)) / 6

Step-by-step explanation:

First search up the quadratic formula which is

x = (- b + or - square root(b^2 - 4ac)) / 2a

and to find a, b, and c you need this formula

ax^2 + bx + c = 0 (btw this is the safest solution to finding your answer with a number in-front of a quadratic equation.)

Math:

a = 3, b = -13, c = 11

b = -13, because of the x on the other end of the equation as the equation above "ax^2 + bx + c = 0" you need the zero to proceed to this next step.

Side Note: You only take the number and not the variable, variables are x, y, w, z, or etc.

(- (- 13) + or - square root((-13)^2 - 4(3)(11) ) ) / 2 * 3

13 + or - square root(37) / 6

5 0
2 years ago
Please help and thank you
Black_prince [1.1K]

I'm honestly not really sure, but it has to be either (2,10) or (10,2). I've never seen a question like this...

Answer:

Step-by-step explanation:

8 0
3 years ago
Technical improvement of a factory enabled it to produce 165 parts more in February than in January. In the two-month period, th
Romashka-Z-Leto [24]
X + x + 165 = 1315
2x + 165 = 1315
subtract 165 from both sides
2x = 1150
divide both sides by 2
x = 575
January 575
February 575 + 165 = 740
7 0
3 years ago
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