What equation do you get when you solve z-m=z+bx for x?

Answer:

Step-by-step explanation:

The equation provided is:

d = 5x + 10xf

We need to isolate x from this equation.

Factoring out x from the right side gives us,

d=x(5+10f)

To find x, divide both sides by (5+10f),

Thus, this represents the sought value for x.

The response is:

Therefore, option 1 is correct.

Hence, the final option is accurate.

Step-by-step breakdown:

Two functions are presented

. The domain represents the x values possible

. The range represents the y values achievable

. Thus, x can take any real number in functions f(x) and g(x)

. So, option 1 is correct.

For the range aspect

, f(x) can encompass any real number

. However, for g(x), the range can only include positive numbers

. Consequently, the last option is accurate, while all other options are incorrect.

By expressing the equation in its standard format, we have: ax^2 + bx + c = 0. First, we expand (x + 15)(x) = 100 to get x^2 + 15x - 100 = 0. Next, from (x + 20)(x - 5) = 0, we find the solutions to be x = -20 and x = 5. Hence, the accurate choice is option B. We discard x = -20 since it is not a valid solution.

Answer:

Step-by-step explanation:

It was noted that a music streaming platform modified its format to highlight previously unreleased tracks from emerging artists. The site manager is now aiming to assess whether the daily unique listener count has changed.

The hypothesis is set

(A two-tailed test for mean difference)

The test statistic is calculated, and the p-value turns out to be 0.0743

Assuming a significance level of 5%, we observe that p-value = 0.0743>0.05

Thus, we accept the null hypothesis.

i.e. there is no statistically significant alteration in the average number of daily unique listeners

The p-value serves as an indicator of the extremity of the observed data. If p is lower than alpha, we thus reject H0; otherwise, we accept it.

Answer:

Step-by-step explanation:

Denote the rectangular prism's volume as VR and the volume of the right triangular prism as VT. Given that the rectangular prism's volume exceeds that of the triangular prism by 32 cubic feet, we establish that VR = 32 + VT.

Calculating VR: VR = length * width * height = 6*x*3.

This simplifies to VR = 18x ft³.

For the triangular prism, VT can be calculated as Length * width * Height / 2, yielding VT = (7 * x * 4) / 2.

Thus, VT = 28x / 2, which simplifies to VT = 14x ft³.

Equating VR to 32 + VT allows the substitution: 18x = 32 + (14x).

Now, simplify the equation:

Combine like terms: 18x - 14x = 32.

This results in 4x = 32.

Dividing both sides by 4:

x = 8.

The volume for the rectangular prism comes to 18x, which equals 18*8.

The volume of the rectangular prism calculates to 144 ft³.

The volume for the right triangular prism calculates to 14x, which equals 14*8.

The volume of the right triangular prism calculates to 112 ft³.