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3 years ago

Find the y-intercept for the parabola defined by this equation y=5x2-x-6

Mathematics

1 answer:

bija089 [108]3 years ago

7 0

Y intercept is -6

Y= 5x^2-X-6
Y= 5(0)^2-0-6
Y= 0-0-6

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five states in a country have 4 star hotels. Assume the country has 50 states. (a) what fraction of the states can claim at leas

mojhsa [17]

Part A:

Since five states have four-star hotels, only those five states can claim at least one four-star hotel and since there are 50 states, we can write this as 5/50 or 1/10.

Part B:

50 - 5 = 45 states don't have a four-star hotel.

Part C:

45/50 or 9/10 of the states do not have a four-star hotel.

Best of Luck!

8 0

2 years ago

Information for the park trails is displayed at the entrance to the park office.

Lisa [10]

So you can use tan here, which is opposite/adjacent. (We're looking for the Adjacent)

Since we know Trail E is 1700, we're looking for the patch of trail A that is the adjacent. So if we put 42 into a tan calculator we get about 0.9.

So that means that 1,700 / adjacent = 0.9.

So we can also say

1,700/0.9 = adjacent

or, 1,700/0.9 = 1888.89

Now, we have the little patch of trail A in the smaller right triangle. We want to find the patch of trail A in the larger right triangle.

So just do 5,000 - 1,888.89

You get 3111.11

So if we know that's that, and we're looking for the hypotenuse, or Trail B, we can use cosine, because that's adjacent / hypotenuse.

So 42 in a cosine calculator is 0.74 ish.

So 3111.11 / hypotenuse = 0.74

Or 3111.11 / 0.74 = hypotenuse

Or 3111.11 / 0.74 = 4204

So Trail C should be 4204 feet long.

7 0

3 years ago

If (x − 2) ∶ 5 = 7 ∶ 9, then find the value of x.

WARRIOR [948]

Answer:

x=53/9

Step-by-step explanation:

(x-2):5=7:9

9x-18=35

9x=35+18

9x=53

x=53/9

4 0

2 years ago

The slope of EF¯¯¯¯ is −5/2 .

stellarik [79]

Answer:

LM and NP

Step-by-step explanation:

LM= 2/5

NP=2/5

GH= -5/2

JK= =5/2

4 0

3 years ago

67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :