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4 years ago

Find the product mentally.

Mathematics

2 answers:

algol134 years ago

8 0

The answer should be z2-144

morpeh [17]4 years ago

5 0

Answer:

$z^2-144$

Step-by-step explanation:

Here the given expression,

$(z-12)(z+12)$

∵ By using the algebraic property,

$(a+b)(a-b)=a^2-b^2$

We get,

$(z-12)(z+12)=(z)^2 - (12)^2$

$\implies (z-12)(z+12)=z^2-144$

Which is the required product.

Therefore, FIRST option is correct.

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Let C ( t ) be the number of US cell phone subscribers in millions in t years since 1995. A linear model for the data is F ( t )

Andru [333]

ANSWER

In 16 years time.

EXPLANATION.

If the number of subscribers is 324 million, then it means

$f(t)=324$

But we were given that,

$f(t)=18.997t+16.711$

This implies that,

$324=18.997t+16.711$

We now solve for t,

$324-16.711=18.997t$

$307.289=18.997t$

$\frac{307.289}{18.997}=t$

$16.17566=t$

That will be approximately in the 16th year.

6 0

3 years ago

This table shows the relationship between the bird population in a habitat and the time, in years, since a researcher began trac

Luda [366]

Answer:

Step-by-step explanation:

i believe it is c

8 0

3 years ago

Read 2 more answers

6. NO CALCULATOR (except for checking) [VIPP #5] Solve the linear equation. Write solutions in set notation or in sentence form.

GrogVix [38]

Answer:

X_2

Step-by-step explanation:

X_2/5+2X+1/2= 12x_1/10

6 0

3 years ago

Graph the following three equations on your own device and answer the questions below.

Alina [70]

Due to length restrictions, we kindly invite to read the explanation of this question for further details on functions.

<h3>What are the characteristics of each of the three functions?</h3>

a) In this part we must evaluate each of the three functions at the given value of x:

Case 1

f(10) = 5 · 10 + 7

f(10) = 57

Case 2

f(10) = 10² + 6

f(10) = 106

Case 3

f(10) = 2¹⁰ + 3

f(10) = 1027

b) In this part we must evaluate each of the three functions at the given value of x:

Case 1

f(100) = 5 · 100 + 7

f(100) = 507

Case 2

f(100) = 100² + 6

f(100) = 10006

Case 3

f(100) = 2¹⁰⁰ + 3

f(100) = 1.267 × 10³⁰ + 3

c) In this part we must evaluate each of the three functions at the given value of x:

Case 1

f(1000) = 5 · 1000 + 7

f(1000) = 5007

Case 2

f(1000) = 1000² + 6

f(1000) = 1000006

Case 3

f(1000) = 2¹⁰⁰⁰ + 3

f(1000) = (1.268 × 10³⁰)¹⁰ + 3

f(1000) = 10.744 × 10³⁰⁰ + 3

f(1000) = 1.074 × 10³⁰¹ + 3

e) The third function increases the fastest.

f) In this part we need to compare the third function with respect to the first and second functions:

5 · x + 7 = 2ˣ + 3

2ˣ - 5 · x = 4

The solutions of the equation are x = - 0.675 and x = 4.81. The function will exceed the other first function at x = 4.81.

x² + 6 = 2ˣ + 3

2ˣ - x² = 3

The solution of the equation is x = 4.588. The function will exceed the other second function at x = 4.588.

g) Yes, exponential functions with bases greater than 1 will surpass polynomic function at any point x such that x > 0.

h) The domain represents the set of x-values of a function and the range represents the set of y-values of a function. Then, the domain and range of each function is:

Case 1

Domain - All real numbers.

Range - All real numbers

Case 2

Domain - All real numbers.

Range - [6, +∞)

Case 3

Domain - All real numbers.

Range - (3, +∞)

To learn more on functions: brainly.com/question/12431044

#SPJ1

5 0

2 years ago

BD is the angle bisector of ZABC.

mojhsa [17]

Answer:

B:25°

Step-by-step explanation:

Now $\angle ABC$ gets bisected by $BD$ .

$\angle ABD=25^{\circ}$

Since, the angle is bisected, this means that the angle is split into two equal parts or the angle is halved.

We know that one of the angles is $25^{\circ}$ so the other angle has to be $25^{\circ}$ also.

Hence, the $m\angle DBC=25^{\circ}$ .

6 0

3 years ago