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2 years ago

Find the relationship between zeros and intercepts of the polynomial m2 + 5m + 4.

Mathematics

1 answer:

irina1246 [14]2 years ago

5 0

The zeros and intercepts of the polynomial m^2 + 5m + 4 will be different.

<h3>Intercepts and zero of a function</h3>

A quadratic function is a function that has a degree of 2.

Given the following equation

f(m) = m^2 + 5m + 4

The x-intercept occurs at the point where f(m) is zero and same is applicable to the zeros of the function.

This shows that the zeros and intercepts of the polynomial m^2 + 5m + 4 will be different.

Learn more on intercepts here: brainly.com/question/1884491

#SPJ1

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. A hawk flying at a height of 60 feet spots a rabbit on the ground. If the hawk dives at a speed of 55 feet per second, how

Vladimir [108]

Answer:

The hawk reaches the rabbit at t=4.3 sec

Step-by-step explanation:

Let

h ----> is the height in feet

t ----> is the time in seconds

v ---> the initial velocity in feet pr second

s ----- is the starting height

we have

$h=-16t^{2} +vt+s$

when the hawk reaches the rabbit the value of h is equal to zero

we have

$v=55\ ft/sec$

$s=60\ ft$

substitute

$0=-16t^{2} +55t+60$

Solve the quadratic equation by graphing

The solution is t=4.3 sec

see the attached figure

8 0

3 years ago

What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)=

melisa1 [442]

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean the z sore is negative. It is given by:

$z=\frac{x-\mu}{\sigma}$

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

$z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2$

For 12.5 inches:

$z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1$

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

4 0

3 years ago

Use complete sentences to describe the similarities and differences between an expression and an equation.

nirvana33 [79]

Which class ques is this

3 0

3 years ago

Need Help With this question

Sidana [21]

Answer:

Area of ΔDEF = 12 in²

Step-by-step explanation:

Since they are similar, we have to find the scale factor

Scale Factor = $\frac{Side OfDilated Triangle}{Side of Original Triangle}$

Scale Factor = 4/2

Scale Factor = 2

<u><em>This means The area of ΔABC is 2 times the area of ΔDEF</em></u>

So,

ΔABC = 2(ΔDEF)

Where Area of ΔABC = 24 in²

24 = 2(ΔDEF)

Dividing both sides by 2

=> Area of ΔDEF = 12 in²

4 0

3 years ago

Anyone know how to do this?! Help!

Paraphin [41]

Given:

Vertical angles.

One angle is 85°.

To find:

The measure of ∠1, ∠2 and ∠3.

Solution:

∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.

Vertical angle theorem:

If two lines are intersecting, then the vertically opposite angles are congruent.

⇒ m∠2 = 85°

Sum of the adjacent angles in a straight line = 180°

m∠2 + m∠3 = 180°

85° + m∠3 = 180°

Subtract 85° from both sides.

85° + m∠3 - 85° = 180° - 85°

m∠3 = 95°

By vertical angle theorem:

⇒ m∠1 = m∠3

⇒ m∠1 = 95°

Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.

3 0

3 years ago