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2 years ago

Write each equation in standard form using integers? y = 3x + 1 y = 4x - 7

Mathematics

1 answer:

Maru [420]2 years ago

3 0

Answer:

The standard form of y = 3 x + 1 is -3x + y = 1 .

The standard form of y = 4x - 7 is -4x + y = -7.

Step-by-step explanation:

Here the given equation are:

y = 3 x + 1

and y = 4x - 7

The above equations are of the form: y = m x + C

Now, the STANDARD FORM of the equation is Ax + By = C

Consider equation 1:

y = 3 x + 1

or, y - 3x = 1

or. -3x + y = 1

⇒ The equation -3x + y = 1 is in STANDARD FORM.

Consider equation 2:

y = 4 x - 7

or, y - 4x = -7

or. -4x + y = -7

⇒ The equation -4x + y = -7 is in STANDARD FORM.

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The area A (in square feet) of the rectangular shed is given by

a_sh-v [17]

This question is incomplete.

Complete Question

The area A (in square feet) of the rectangular shed is given by 6x³+7x²+11x+21.And one side of the rectangular is 2x+3. Use polynomial long division to find an expression for the length (in feet) of the shed.

Answer:

3x² - x +7

Step-by-step explanation:

Using the long division method:

We have :

Divisor : 6x³+7x²+11x+21

Dividend : 2x+3

Quotient : the length (in feet) of the shed = ???

Hence, we solve below

6x³+7x²+11x+21 ÷ 2x + 3

3x² -x + 7

______________________

2x+3 l 6x³+7x²+11x+21

6x³+9x²

__________

-2x²+11x

-2x²-3x

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14x+21

_______

Therefore, an expression for the length (in feet) of the shed is 3x² - x +7

8 0

2 years ago

What is the value of p? (p 2)−4=14

Over [174]

P+2-4=14
p-2=14
add 2
p+2-2=14+2
p+0=16
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8 0

2 years ago

Evaluate the integral. (Use C for the constant of integration.) cos(x) (8 + 7 sin^2(x)) dx

UNO [17]

Answer: $8 \sin x +7(\dfrac{\sin^3x}{3})+C$

Step-by-step explanation:

Consider $\int \cos(x) (8+7 \sin^2(x)) \, dx$

Substitute t= sinx

then dt = cos x dx

$\int \cos(x) (8+7 \sin^2(x)) \, dx = \int (8+7t^2)dt\\\\ =8t+7(\dfrac{t^3}{3})+C$

$[\int x^ndx=\dfrac{x^{n+1}}{n+1}+C]$

$=8 \sin x +7(\dfrac{\sin^3x}{3})+C$

Hence, $\int \cos(x) (8+7 \sin^2(x)) \, dx=8 \sin x +7(\dfrac{\sin^3x}{3})+C$

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Answer:

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(5y - 1) + (-2y + 4)

Rashid [163]

(5y - 1) + (-2y + 4)

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