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3 years ago

Write an inequality that compares-6, 3, and 5

Mathematics

1 answer:

olga_2 [115]3 years ago

8 0

Is that 6 or negative 6? I'll do both situations, as I can't tell (sorry!)

With negative 6:

-6 < 3 < 5

With positive 6:

3 < 5 < 6

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Janae's savings account has $50 on September 19. If she plans to save $5 every day, how much money will Janae have in her saving

Akimi4 [234]

Janae will have $ 95 in her account after 10 days.

<h3>What is an Arithmetic Progression?</h3>

A sequence of numbers that has a fixed common difference between any two consecutive numbers is called an arithmetic progression (A.P.)

Given,

Amount in Janae's account = $ 50

Amount she wishes to save for 10 days = $ 5

This scenario models an arithmetic progression(A.P)

In an A.P,

a _n = a + (n-1)d

where a _n = nth term, a is the first term, n is the no. of terms and d is the common difference.

In this question, a = 50, n = 10, d = 5 and we have to find out a _n

Therefore, a _n = 50 + (10-1)x5

= 50 + 45 = 95

Answer:- Janae will have $ 95 in her account after 10 days.

To learn more about arithmetic progression, refer to:

brainly.com/question/24191546

#SPJ10

8 0

1 year ago

The polynomial function y = x3 -3x2 + 16x - 48 has only one non-repeated x-intercept. What do you know about the complex zeros o

earnstyle [38]

• First way to solve:
We'll manipulate the expression of the equation:

$y=x^3-3x^2+16x-48\\\\ y=x^2(x-3)+16(x-3)\\\\ y=(x-3)(x^2+16)$

If we have y=0:

$x-3=0~~~or~~~x^2+16=0\\\\ x=3~~~or~~~x^2=-16\\\\ x=3~~~or~~~x=\pm\sqrt{-16}\\\\ x=3~~~or~~~x=\pm4i$

Then, the function has one real zero (x=3) and two imaginary zeros (4i and -4i).

Answer: B

• Second way to solve:

The degree of the function is 3. So, the function has 3 complex zeros.

Since the coefficients of the function are reals, the imaginary roots are in a even number (a imaginary number and its conjugated)

The function "has only one non-repeated x-intercept", then there is only one real zero.

The number of zeros is 3 and there is 1 real zero. So, there are 2 imaginary zeros.

Answer: B.

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2 years ago