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3 years ago

(b) Graph the equation x – 2y = 3

Mathematics

2 answers:

tresset_1 [31]3 years ago

7 0

Answer:

Hey there!

Look at the image below ↓

Hope this helps :)

arsen [322]3 years ago

6 0

Answer:

Please look at the image below.

Step-by-step explanation:

If you fix this equation into the y-intercept form(y=mx+c), it will become:

-2y=-x+3

y=x/2-3/2

Looking at this, x/2 is the slope, and -3/2 is the y-intercept.

Hope this helps!!!!

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Gnoma [55]

Answer:

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Step-by-step explanation:

Games : 1 hour

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Total time

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She started at 1 pm

1 + 2 hour 30 minutes

1 +2 hours = 3 pm

3+30 minutes = 3:30

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2 years ago

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What is the radian measure of an angle of 230º?

asambeis [7]

Correct answer is the last one.

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2 years ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

$v=\frac{1}{3}\pi r^2 h$

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

We select the positiv value.

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

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2 years ago

The cost of 3 markers and 2 pencils is $1.80. The cost of 4 markers and 6 pencils is $2.90. What is the cost of each item? Inclu

RideAnS [48]

Let M = marker cost
Let P = pencil cost

3 markers and 2 pencils cost 1.80 ==> 3M + 2P = 1.80

4 markers and 6 pencils cost 2.90 ==> 4M + 6P = 2.90

Multiply the first equation by (-3) and add it to the second equation

-9M - 6P = -5.40
4M + 6P = 2.90

-5M = -2.50
M = 0.50

Plug this value for M into the 1st equation and solve for P

3*(0.50) + 2P = 1.80
1.50 + 2P = 1.80
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P = 0.15

So a marker costs 50 cents and a pencil costs 15 cents

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2 years ago

The dimensions of an iPhone are x – 2 and x + 3. If the area of an iPhone is 14 square inches, find the dimensions of the iPhone

QveST [7]

Answer:

The dimensions of the iphone are 2 inches by 7 inches.

Step-by-step explanation:

Given that,

The dimensions of an iPhone are x – 2 and x + 3.

The area of an iphone is 14 sq inches

We need to find the dimensions of the iPhone. It is in the shape of a rectangle. Its area is given by :

$A=l\times b\\\\(x-2)(x+3)=14\\\\x^2-2x+3x-6=14\\\\x^2+x-6-14=0\\\\x^2+x-20=0\\\\x^2+5x-4x-20=0\\\\x(x+5)-4(x+5)=0\\\\(x-4)(x+5)=0\\\\x=4\ and\ x=-5$

Neglecting negative value

First dimension = (x-2) = (4-2) = 2 inches

Other dimension = (x+3) = (4+3) = 7 inches

Hence, the dimensions of the iphone are 2 inches by 7 inches.

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2 years ago

(b) Graph the equation x – 2y = 3​

(b) Graph the equation x – 2y = 3