Problem 4 Solve x^2-8x=5

Write the ratio as a fraction in simplest form, with the whole numbers In the numerator and denominator. 1.4L : 4.9 L

lidiya [134]

1.4L : 4.9L
$= \frac{1.4}{0.7} L:\frac{4.9}{0.7}L$
=2L : 7L

8 0

3 years ago

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

aliina [53]

Answer: B. H(t) = -6.9(t - 2.3)² + 112

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k

where (h, k) is the vertex ⇒ k is the maximum height

the distance traveled is when y = 0 ⇒ $x=\sqrt{\dfrac{-k}{a}}+h$

Given: H(t) = -7.1(t - 2.3)² + 98

maximum height (k) = 98 feet

distance traveled (x) = $\sqrt{\dfrac{-98}{-7.1}}+2.3$ = 6.02 seconds

A) H(t) = -7.5(t - 2.2)² + 112

maximum height (k) = 112 feet

distance traveled (x) = $\sqrt{\dfrac{-112}{-7.5}}+2.2$ = 6.06 seconds

B) H(t) = -6.9(t - 2.3)² + 112

maximum height (k) = 112 feet

distance traveled (x) = $\sqrt{\dfrac{-112}{-6.9}}+2.3$ = 6.33 seconds

C) H(t) = -6.9(t - 2.4)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

D) H(t) = -7.5(t - 2.3)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.

5 0

3 years ago

Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish i

natita [175]

Answer:

There would be 173,535 lionfish after 6 years.

Step-by-step explanation:

Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:

A)

8000 x 1.67 ^ n = f

B)

8000 x 1.67 ^ 6 = X

8000 x 21.691961596369 = X

173,535.692770952 = X

C)

(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f

Therefore, there would be 173,535 lionfish after 6 years.

5 0

2 years ago

A city planner wants to build a road parallel to 2nd Ave . What is the slope of the new road?

ludmilkaskok [199]

Answer:

0

Step-by-step explanation:

By inspection or finding points, we see that 2nd ave is perfectly flat, or in other words, has slope of 0.

If line 1 is parallel to line 2, it means their slopes are the same.

So, the new road parallel to 2nd ave has a slope of $\boxed{0}$ .

6 0

3 years ago

A group of children 6 to 10 years old were asked how many video games they owned. The scatter plot shows the results. What is th

jolli1 [7]

The range of the video games owned for the cluster is between 8 to 10.

Given

A group of children 6 to 10 years old were asked how many video games they owned.

The scatter plot shows the results.

<h3>What is the range?</h3>

The range is the difference between the lowest and highest numbers in a data set.

The range of video games owned for the cluster is 8 to 10.

Therefore,

The range of the video games owned for the cluster is;

$\rm Range = Highest \ value - lowest \ value\\\\Range=10-8\\\\Range=2$

Hence, the range of the video games owned for the cluster is between 8 to 10.

To know more about Range click the link given below.

brainly.com/question/8041076

7 0

3 years ago