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4 years ago

Which value completes the table? A. -17 b. -3 c. 1 d. 3

Mathematics

2 answers:

bonufazy [111]4 years ago

6 0

Given : Function f(x) = x⁵ + (x + 3)²

The Question is to find the image of the given function at x = -1

In order to find the image of a function for a given value, We need to substitute the value in the respective function

$:\implies$ f(-1) = (-1)⁵ + (-1 + 3)²

$:\implies$ f(-1) = -1 + (2)²

$:\implies$ f(-1) = -1 + 4

$:\implies$ f(-1) = 3

Vikentia [17]4 years ago

4 0

Answer:

Step-by-step explanation:

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A pilot is traveling at a height of 30,000 feet above level ground. She looks down at

vladimir2022 [97]

Answer:

540.6 mi

Step-by-step explanation:

The angle of depression = angle of elevation = 6°

Let x = the distance to the runway.

tan 6 = 30000/x

xtan 6 = 30000

x = 30000/tan 6 =285430.9 ft

285430.9336.../5280 = 540.6 mi

3 0

3 years ago

Which theorem or postulate proves the two triangles are similar

Alina [70]

Because all 3 sides are given for both triangles you can use the SSS theorem

5 0

3 years ago

Read 2 more answers

5. Find the discriminant of 15x2 = 4x – 1 and describe

diamong [38]

Answer:

a) The discriminant of the equation = - 44

b)The nature of the roots will be imaginary.

c) $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

Step-by-step explanation:

Here, the given expression is $15x^{2} = 4x -1$

or, $15x^{2} - 4x + 1 = 0$

Now the discriminant (D) of a quadratic equation $ax^{2} +b x + c = 0$

D = $b^{2} - 4ac = (-4)^{2} - 4(15) (1) = 16 - (60) = -44$

Hence, the discriminant of the equation = - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : $x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a}$

So, here $x = \frac{-(-4) \pm \sqrt{D} }{2a} = \frac{4 \pm \sqrt{(-44 )} }{30}$

So, either $x = \frac{4 + \sqrt{(-44 )} }{30} or, x = \frac{4 - \sqrt{(-44 )} }{30}$

or, $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

8 0

3 years ago

Two cars are traveling down the highway with the same speed. If the first car increases its speed by 1km/hr, and the other car d

Olegator [25]

Answer:

The speed of the cars is $32 \frac{km}{h}$

Step-by-step explanation:

First we must first have the clear concept that $speed=\frac{distance}{time}$ or $s=\frac{d}{t}$

Our question is the speed of the cars then the variable to clear will be s.

Let's raise the equation for each car taking into account that we have the following data:

Car 1: $s_{1}=s+1$ , $t_{1}=2$ and $d_{1}= d_{2}$

Car 1: $s_{2}=s-10$ , $t_{2}=3$ and $d_{1}= d_{2}$

The two cars travel the same distance so we will raise the distance formula for each car and then match them.

<em>Car 1</em>

$d_{1}=s_{1}*t_{1}$

$d_{1}=(s+1)*2$

$d_{1}=2s+2$

<em>Car 2</em>

$d_{2}=s_{2}*t_{2}$

$d_{2}=(s-10)*3$

$d_{2}=3s.30$

$d_{1}=d_{2}$

$2s+2=3s-30$

$2+30=3s-2s$

$32=s$

The speed of the cars is 32 km/hr

7 0

4 years ago

For brainiest:):):):):):):):)

Oksi-84 [34.3K]

Answer:

(a) 0.6

(b) 0.4

Step-by-step explanation:

If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made $9+6=15$ shots.

The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,

$P($ making a shot $)=\frac{9}{15}=\frac{3}{5}=0.6$

Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.

$P($ making a shot $)+P($ missing a shot) $=1$

$P($ missing a shot $)=1-P($ making a shot $)$

$P($ missing a shot $)=1-0.6=0.4$

QED

3 0

3 years ago