All categories

3 years ago

What does X equal 9.6x − 15.4 = −4.4x − 11.2 A.) x = 0.3 B.)x=−0.3 C.) x = −3 D.) x = 3

Mathematics

1 answer:

sweet [91]3 years ago

3 0

The answer is A) x=0.3

Step-by-step explanation:

Move all terms containing xx to the left side of the equation.

14x−15.4=−11.2

Move all terms not containing x to the right side of the equation.

14x=4.214x=4.2

Divide each term by 14 and simplify

x=0.3

You might be interested in

Solve by factoring: 2x2 - 5x - 12 = 0

Zepler [3.9K]

Step-by-step explanation:

$2 {x}^{2} - 5x - 12$

$2 {x}^{2} - 8x + 3x - 12$

$2x(x - 4) + 3(x - 4)$

$2x + 3 = 0 \: \: x - 4 = 0$

$x = \frac{ - 3}{2} \: \: x =4$

5 0

3 years ago

Read 2 more answers

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnig

Vladimir [108]

Answer:

The equation is given by:

$D(t) = 80 + 9\sin{0.2618t}$

Step-by-step explanation:

Sine function:

Has the following format:

$y = A\sin{bx}$

In which A is the amplitude and $\frac{2\pi}{b}$ is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that $A = 9$

During a 24-hour day, which means that the period is 24. So

$\frac{2\pi}{b} = 24$

$24b = 2\pi$

$b = \frac{2\pi}{24}$

$b = 0.2618$

So the variation is:

$V(t) = 9\sin{0.2618t}$

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

$D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}$

8 0

2 years ago

when you divide a fraction less than 1 by a whole number greater than 1, is the quotient less than, greater than, or equal to th

ratelena [41]

Answer:

less than

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Mr. Dalton only buys two brands of snack bars for his kids: Grateful Grain and Granola Delight. Last week at the store, he bough

kogti [31]

Grateful grain would be reasonable

6 0

2 years ago

Find the value of c such that y= x + c is a tangent to the parabola y = x squared - x - 12

Bond [772]

Answer:

c = –13

Step-by-step explanation:

by property of tangent line, equation

x² – x – 12 = x + c

x² – 2x – 12 – c = 0

has only one solution, which mean

– 12 – c = 1

c = –13

5 0

3 years ago