All categories

2 years ago

Which is an x-intercept of the continuous function in the table?

Mathematics

2 answers:

Ad libitum [116K]2 years ago

7 0

Answer:

B. (3, 0)

Step-by-step explanation:

The x-intercept is the point where the graph of the function meets the x-axis.

At x-intercept, y=0 or f(x)=0

So look through the table and find where f(x)=0.

From the table, f(x)=0 at x=3.

We write this as an ordered pair.

Therefore the x-intercept is (3,0)

The correct choice is B.

Ulleksa [173]2 years ago

6 0

The answer is b thank me later

Step-by-step explanation:

You might be interested in

shanti wrote the predicted values for a data set using the line of best fit y = 2.55x – 3.15. she computed two of the residual v

Delvig [45]

The question asks us to determine the values for a and b in the linear equation. Linear equation in the slope-intercept form is : y = a x + b. This equation is: y = 2.25 x - 3.15. The slope: a = 2.25 and the y-intercept is: b = -3.15. Answer: a = 2.25 and b = - 3.15.

8 0

2 years ago

Read 2 more answers

For positive acute angles

insens350 [35]

9514 1404 393

Answer:

77/85

Step-by-step explanation:

Given:

cos(A) = 4/5

sin(B) = 15/17

Find:

cos(A-B)

Solution:

From your knowledge of Pythagorean triples, you know that one of them is (3, 4, 5) and another is (8, 15, 17). Using your imagination, or by drawing the triangles, you can determine the needed trig functions to be ...

sin(A) = 3/5

cos(B) = 8/17

Alternatively, you can use the Pythagorean identity to find ...

sin(A) = √(1 -cos²(A)) = √(1 -(4/5)²) = √(9/25) = 3/5

cos(B) = √(1 -sin²(B)) = √(1 -(15/17)²) = √(64/289) = 8/17

Then application of the angle difference formula is straightforward.

cos(A -B) = cos(A)cos(B) +sin(A)sin(B)

cos(A -B) = (4/5)(8/17) +(3/5)(15/17) = (32 +45)/85

cos(A -B) = 77/85

_____

Some graphing calculators can express the result ...

cos(arccos(4/5) -arcsin(15/17)) ≈ 0.90588235294

... as the fraction 77/85

5 0

2 years ago

Crop researchers plant 15 plots with a new variety of corn. The yields in bushels per acre are: 138.0 139.1 113.0 132.5 140.7 10

son4ous [18]

There is a relationship between confidence interval and standard deviation:
$\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}$
Where $\overline{x}$ is the mean, $\sigma$ is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first:
$\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}$
When we do all the calculations we find that:
$\overline{x}=123.8\\ \sigma=11.84$
Now we can find confidence intervals:
$($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\$
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing

6 0

2 years ago

What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = Start

djyliett [7]

Answer:

h=7

Step-by-step explanation:

We want to solve the equation:

$\frac{1}{h-5}+\frac{2}{h+5}=\frac{16}{h^2-25}$