Which function has the smallest x-intercept value, if it exists?

Mathematics

1 answer:

Lorico [155]3 years ago

6 0

Answer:

x intercept. The x intercept is the point where the line crosses the x axis. At this point y = 0. y intercept. The y intercept is the point where the line crosses the y axis.

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Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bo

Ksenya-84 [330]

Answer:

4.61 m

Step-by-step explanation:

The angle of depression of the bottom of the shorter building from the top of the taller building = 48° equals the angle of elevation of the top of the taller building from the bottom of the shorter building

Using trig ratios

tan48° = H/d where H = height of taller building and d = their distance apart = 12 m

H = dtan48° = 12tan48° = 13.33 m

Also, the angle of elevation of the top of the shorter building from the bottom of the taller building is 36°

Using trig ratios

tan36° = h/d where h = height of shorter building

h =dtan36° = 12tan36° = 8.72 m

Now, the difference in height of the buildings is thus H - h = 13.33 m - 8.72 m = 4.61 m

4 0

3 years ago

A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be three times the amount o

DENIUS [597]

To answer this question you will use ratios. The information given gives us a part to part ratio of 1 part vinegar for every 3 parts oil.

Because the total amount of furniture polish is 30 ounces, we will need to write one part vinegar to three parts oil as a part to part to whole ratio.

Use this information then and create an equivalent ratio with a total of 30 ounces. See below.

1 vinegar (x7.5) = 7.5 ounces
3 oil. (X7.5). = 22.5 ounces
4 total (x7.5). = 30 ounces

You will need 7.5 ounces of vinegar and a 22.5 ounces of oil.

7 0

2 years ago

Which of the following is a solution for the absolute value inequality |2x – 3| > 6?

Mice21 [21]

This breaks into two inequalities:

2x - 3 > 6

and

-2x + 3 > 6

------------------------

2x - 3 > 6

Add 3 to both sides:

2x > 9

Divide 2 to both sides:

x > 4.5

-----------------------

-2x + 3 > 6

Subtract 3 to both sides:

-2x > 3

Divide -2 to both sides:

x < -1.5

3 0

3 years ago

Read 2 more answers

Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.

Paha777 [63]

Correct Answer:
Option A. 0.01

Solution:
This is a problem of statistics and uses the concept of normal distributions. We need to convert the score of 90 into z-score and then find the desired probability from standard normal distribution table.

Converting 90 to z-score:

$z= \frac{90-83.6}{ \frac{8.7}{ \sqrt{10}} }=2.33$

Now we are to find the probability of z score being more than 2.33. From the z-table the probability comes out to be 0.01.

Therefore, we can conclude that the probability of class average is greater than 90 is 0.01.

4 0

2 years ago

Please help What is the value of x? A:12 B:15 C: 6 D: 30

pickupchik [31]

Answer: A, 12

Step-by-step explanation:

The line in the middle is a midsegment, making the two triangles similar by a ratio of two. So, dividing 60 by five will give you twelve

4 0

3 years ago