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2 years ago

How do I figure out solve kx+7=4 for x

Mathematics

1 answer:

Vedmedyk [2.9K]2 years ago

6 0

<h3>Answer: x = -3/k</h3>

==============================================

Work Shown:

kx+7 = 4

kx+7-7 = 4-7 .... subtract 7 from both sides

kx = -3

kx/k = -3/k .... divide both sides by k

x = -3/k

The value of k cannot be zero. As the steps show, we are following PEMDAS in reverse to undo each operation to help isolate x. Subtraction is the opposite of addition, and division is the opposite of multiplication.

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A tank full of water is leaking at a constant rate for 15 minutes. The equation

kupik [55]

Answer:

C. There were 500 liters in the tank when the leak started, and it is decreasing by 8 liters per minute.

Step-by-step explanation:

-8x is the rate of the leak and 500 is the initial value for water in the tank.

6 0

2 years ago

Henry's patio is in the shape of a rectangle. He said the perimeter of the patio is 48 feet . He knows that one side is 9 feet w

ss7ja [257]

Answer:

2 sides of the patio are 9ft and another 2 sides are 15ft

Step-by-step explanation:

To solve this problem we have to know thata rectangle has 4 sides and 2 of them are equal to each other

This is the formula to calculate perimeter

p = perimeter 48 ft

a = side a = 9 ft

b = side b

p = 2a + 2b

we replace the known values

48ft = 2*9ft + 2b

48ft = 18ft + 2b

48ft - 18ft = 2b

30 / 2 = b

15 = b

2 sides of the patio are 9ft and another 2 sides are 15ft

8 0

3 years ago

Mark the statements that are true.

lara [203]

Answer:

Correct answers:

A. An angle that measures $\frac{\pi}{6}$ radians also measures $30^o$

C. An angle that measures $180^o$ also measures $\pi$ radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

$\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians$

Therefore we can investigate each of the statements, and find that when we have a $\frac{\pi}{6}$ radians angle, then its degree formula becomes:

$\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o$

also when an angle measures $180^o$ , its radian measure is:

$\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi$

The other relationships are not true as per the conversion formulas

7 0

3 years ago

What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2

satela [25.4K]

The value of $c$ such that the line $y = 2\cdot x + 3$ is tangent to the parabola $y = c\cdot x^{2}$ is $-\frac{1}{3}$ .

If $y = 2\cdot x + 3$ is a line <em>tangent</em> to the parabola $y = c\cdot x^{2}$ , then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:

$2\cdot c \cdot x = 2$ (1)