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3 years ago

How do you graph 4x + 3y = -24

Mathematics

2 answers:

Kazeer [188]3 years ago

7 0

Answer:

To graph, find -24 on the y-axis. Place a dot there. Then, go down 4 spaces and to the right 3. Continue that process. Then, go up 4 and to the left 3. Continue that process and you will have a line.

Step-by-step explanation:

First, solve the equation to make it in this format: y=mx + b. The equation would equal -4/3x - 24. The slope would be -4/3 and the y-intercept would be -24. To graph, find -24 on the y-axis. Place a dot there. Then, go down 4 spaces and to the right 3. Continue that process. Then, go up 4 and to the left 3. Continue that process and you will have a line. Hope this helps!

AveGali [126]3 years ago

5 0

Often two convenient points to evaluate for a linear equation are the x and y intercepts.
For the equation
4
x
+
3
y
=
12

the x intercept (
y
=
0
) is at
(
3
,
0
)
and
the y intercept (
x
=
0
) is at
(
0
,
4
)

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Harry, regan and kelan share £450 in the ratio 2 : 5 : 3 . how much money does kelan get?

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Answer:

Kelan gets 135 Euros.

Step-by-step explanation:

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4 years ago

On Monday billy spent 4 1/4 hours studying.On Tuesday he spent another 3 5/9 hours studying what is the combined time he spent s

Amanda [17]

Answer:

$7\frac{29}{36}\ hours$

Step-by-step explanation:

Given:

Time spent on Monday (M) = $4\frac{1}{4}\ hours$

Time spent on Tuesday (T) = $3\frac{5}{9}\ hours$

Now, the total combined time spent on study is equal to the sum of the times spent on Monday and Tuesday.

So, we need to add both the times to get the combined time spent on studying.

The combined study time is given as:

Total time spent = Time spent on Monday + Time spent on Tuesday

$Total\ time=4\frac{1}{4}+3\frac{5}{9}\\\\Total\ time = \frac{4\times 4+1}{4}+\frac{3\times 9+5}{9}\\\\Total\ time = \frac{17}{4}+\frac{32}{9}\\\\\textrm{Taking LCD of 9 and 4 as 36, we get:}\\\\Total\ time = \frac{17\times 9}{4\times 9}+\frac{32\times 4}{9\times 4}\\\\Total\ time = \frac{153}{36}+\frac{128}{36}\\\\\textrm{Since the denominators are same, we add the numerators.}\\\\Total\ time = \frac{153+128}{36}\\\\Total\ time = \frac{281}{36}\ hours$

Divide 281 by 36. The quotient is the whole number part, the remainder is the numerator part and the denominator remains the same.

So, on dividing, we get 7 as quotient and 29 as remainder. So, converting to mixed fractions, we get:

$Total\ time = 7\frac{29}{36}\ hours$

Therefore, the the combined time he spent studying is $7\frac{29}{36}\ hours$

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4 years ago

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A rock is thrown from the top of a tall building.The distance in feet between the rock and the ground t seconds after thrown is

marusya05 [52]

Answer:

0.448 seconds

Step-by-step explanation:

d = -16t² -4t + 412

find t when d = 407

substituting d = 407 into the equation:

407 = -16t² -4t + 412 (subtract 407 from both sides)

-16t² -4t + 412 - 407 = 0

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16t² + 4t - 5 = 0

solving using your method of choice (i.e completing the square or using the quadratic equation), you will end up with

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t = (-1/8) (1 -√21) = 0.448 seconds (answer)

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