All categories

1 year ago

Which of the following equations have exactly one solution?

Mathematics

1 answer:

Sonja [21]1 year ago

7 0

Answer:

Step-by-step explanation:

Because if you subtract 19x and 18 from each side it wont be 0=0, in other equatins there is infinity solutions

You might be interested in

3 Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ: ●

Pavel [41]

4 0

2 years ago

If h(x) = 6 - X, what is the value of (h*n (10)?

faltersainse [42]

Answer:

<u>(h * h)(10) = 16</u>

Step-by-step explanation:

We should know that: (f*g)(x) = f(x)*g(x)

Given: h(x) = 6 - x

∴(h * h)(x) = (6-x) (6-x) = (6-x)²

To find (h * h)(10), substitute with x = 10 at (h * h)(x)

∴ (h * h)(10) = (6-10)² = (-4)² = 16

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

Note: if we want to find (hoh)(10)

(hoh)(x) = h[h(x)] = 6 - (6 - x) = 6 - 6 + x = x

∴ (hoh)(10) = 10

8 0

1 year ago

Adam is using the equation (x)(x + 2) = 255 to find two consecutive odd integers with a product of 255. When Adam solves the pro

kondaur [170]

$\bf (x)(x+2)=255\implies x^2+2x=255\implies x^2+2x-255=y
\\\\
\textit{setting y=0}\implies x^2+2x-255=0
\\\\
\textit{now, factoring that}
\\\\
(x+17)(x-15)=0\implies 
\begin{cases}
x=-17\\
x=15
\end{cases}$

notice the picture of the graph added here
low and behold, x = -17, y is 0, and x= 15, y is 0
the graph is touching the x-axis, an x-intercept
or so-called, a "solution"

3 0

1 year ago

Read 2 more answers

Moscow, the capital city of Russia, is at 37.62 degrees longitude and 55.75 degrees latitude. Brasilia, the capital city of Braz

Marina86 [1]

Answer:

|55.75-(-15.8)|-x

Step-by-step explanation:

8 0

1 year ago

Mya is a performance athlete. She wants to use a function to represent the number of calories that she burns while training, whe

Lerok [7]

Answer:

The actual number of calories that Mya burned when she

trained for 30 minutes is 240.

Step-by-step explanation:

We have an exponential function that is the best fit for the number of calories Mya burns, in function of time (minutes).

The function is:

$y=45.3e^{0.0548x}$

Where y: calories burned, and x: training time.

Whenever we use regression models, we have a real value and a predicted value. The difference between them, the measure we want to minimize when we adjust with this typo of models, is called residual.

In the table is shown as one of the columns.

For example, for x=10 minutes, we have a real value of 30 and a predicted value of 78.36, so the residual becomes e=30-78.36=-48.36.

$e=y-\hat y=30-78.36=-48.36$

For x=30 minutes, we have only the residual, that has a value of 5.53. That means that the predicted value, which we can calculate, is 5.53 below the real value.

The predicted value for x=30 is:

$y(30)=45.3e^{0.0548*30}=45.3*5.18=234.47$

Using the equation for the residual e, we can calcualte the actual number of calories that Mya burned in 30 minutes:

$e=y-\hat y=y-234.47=5.53\\\\y=234.47+5.53\\\\y=240$

4 0

1 year ago