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3 years ago

Solve for x x^2 - 2x - 35 = 0x

Mathematics

1 answer:

olga_2 [115]3 years ago

4 0

Answer:

x = 7

x = -5

Step-by-step explanation:

Given

x² - 2x - 35 = 0

Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

The factors are - 7 and + 5, since

- 7 × 5 = - 35 and - 7 + 5 = - 2, thus

(x - 7)(x + 5) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7

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A tug boat traveled -15 miles in 0.3 hours what was its velocity

GenaCL600 [577]

Answer:

22.35 m/s

Step-by-step explanation:

The distance is always a positive unit, so distance traveled (d) = 15 miles

Time (t) = 0.3 hours

Time (t) = 0.3 * 60 = 18 minutes

(1 hour = 60 minutes)

Velocity (v) = ?

The formula of distance is: d = v*t

=> v = d/t = 15/18 = 0.83 miles/minute

we can also calculate velocity is meter/sec, for that

1 minute = 60 sec

=> 18 mins = 18*60 = 1080 sec

1 mile = 1609.34 meters

=> 15 miles = 15 * 1609.34 = 24,140 m

hence,

v = 24,140/1080 = 22.35 m/s

4 0

3 years ago

How do i round 4,398,202 to the nearest 100

Vikentia [17]

When you round 4, 398, 202 to the nearest 100 it means to ignore the 4,398 and just look at 202. You could either round to 200 or 300 since you want to round to the nearest 100. Since the ones place is 2, you round the number to 200.

Answer: 4,398,200

8 0

4 years ago

Read 2 more answers

Pls help I’ll brainlest

Lisa [10]

Answer: You need to show the question for me to answer it. In other words, provide more context

Step-by-step explanation:

7 0

3 years ago

A roller coaster’s height is given by the equation h = –.046t2 + 5t +75, where t represents the time in seconds. How long will i

LuckyWell [14K]

A function assigns the values. The time it will take riders to pass over the hill and reach ground level is 122.05 seconds, thus, the correct option is A.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the height of the roller coaster is given by the function,

h = -0.046t²+5t+75

Now, when the roller coaster will complete the ride, therefore, pass over the hill and reach the ground level, the height of the coaster will be zero, therefore, the function will become.

0 = -0.046t²+5t+75

Now, taking the roots of t, we will get,

$t = \dfrac{-5\pm \sqrt{(5)^2-4(-0.046)(75)}}{2(-0.046)}\\\\t =-13.3583, 122.0539$

Since the value of the time can not be negative, therefore, the time will be 122.05 seconds.

Hence, the time it will take riders to pass over the hill and reach ground level is 122.05 seconds, thus, the correct option is A.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

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2 years ago

Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th

ladessa [460]

Answer:

$f^{-1}(x)=g(x)=\frac{\text{ln}(x)}{2}+\frac{1}{2}$

Step-by-step explanation:

Please find the attachment.

We have been given two functions as $(x)=e^{2x-1}$ and $g(x)=\frac{1}{2}+\frac{\text{ln}(x)}{2}$ . We are asked to show that both functions are inverse of each other algebraically and graphically.