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2 years ago

What Is 4x+6y=48 and what is the general form and x intercept and y intercept and slope and factored form?

Mathematics

1 answer:

Vladimir [108]2 years ago

4 0

Given equation : 4x+6y=48 .

The general form of the linear equation is ax +by =c.

The given equation is already in general form.

Let us find x-intercept.

Plugging y =0 in given equation.

4x+6(0)=48 .

4x +0 = 48

4x = 48

Dividing both sides by 4, we get

4x/4 = 48/4

x = 12.

<h3>Therefore, x-intercept is (12,0).</h3>

Let us find y-intercept.

Plugging x =0 in given equation.

4(0)+6y=48 .

6y = 48

Dividing both sides by 6, we get

6y/6 = 48/6

y = 8.

<h3>Therefore, y-intercept is (0,8).</h3>

Let us convert given equation in slope-intercept form y=mx+b.

4x+6y=48

Subtracting 4x from both sides, we get

4x-4x+6y=48-4x

6y = -4x+48

Dividing both sides by 6, we get

6y/6 = -4x/6+48/6

y = -2/3 x +8.

<h3>Therefore, slope is -2/3.</h3>

Let us find factored form now.

GCF of the given linear equation is 2.

Factoring out 2 in all term, we get

3(2x+3y=24)

That is factored form.

You might be interested in

Which of the following equations is non-linear?

lakkis [162]

2x + 6y = 14y - 19x^2 + 12 is a non-linear equation

Step-by-step explanation:

Lets define a linear equation first.

A linear equation is an equation in which there is no variable with exponent greater than 1 or the degree of the equation is 1.

So,

The equation is a linear equation because the degree of the equation is 1.

The equation is a linear equation because the degree of the equation is 1.

The equation involve a term with exponent 2 which makes the degree of the equation 2 making it a quadratic equation

The equation is a linear equation because the degree of the equation is 1.

Hence,

2x + 6y = 14y - 19x^2 + 12 is a non-linear equation

Keywords: Linear, quadratic

Learn more about equations at:

#LearnwithBrainly

5 0

2 years ago

How do I solve this STATS question?

k0ka [10]

We have the following data:

Margin of Error = E = 2.7 % = 0.027
Sample size = n = 900
Proportion of adults in favor = p = 60% = 0.6

We need to find the confidence level. For this first we need to find the z value.

The margin of error for a population proportion is given as:

$E=z* \sqrt{ \frac{p(1-p)}{n} }$

Using the values, we get:

$0.027=z* \sqrt{ \frac{0.6*0.4}{900} } \\ \\ 
0.027=z*0.016 \\ \\ 
z= \frac{0.027}{0.01633} \\ \\ 
z=1.65$

As, seen from the z table, z=1.65 corresponds to the confidence level 90%. So, the answer to this question is option B

7 0

2 years ago

How do you do these questions?

Lady bird [3.3K]

Answer:

(e) csc x − cot x − ln(1 + cos x) + C

Step-by-step explanation:

(e) ∫ (1 + sin x) / (1 + cos x) dx

Split the integral.

∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx

Multiply top and bottom of first integral by the conjugate, 1 − cos x.

∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx

Pythagorean identity.

∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx

Divide.

∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx

Integrate.

csc x − cot x − ln(1 + cos x) + C

= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx

The error function is odd (erf(-x) = -erf(x)), so:

= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx

= 0

7 0

2 years ago

Can someone help me ASP.

Ivahew [28]

Answer:

The anwsers are

a- trapezoid

b- 6

8 0

3 years ago

Read 2 more answers

Plz help me with number 12

Paha777 [63]

The answer should be A

6 0

2 years ago

Read 2 more answers