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zalisa [80]
3 years ago
8

Which statement is true about this quadratic equation?

Mathematics
1 answer:
Masteriza [31]3 years ago
8 0

Answer:

There are two real roots because b²>4ac

in the equation, b²= 9² = 81.

4ac = 4×-4×-12= 72

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1. Which ordered pairs are solutions to the inequality –3x + y ≥ 7?
Murrr4er [49]
Q1. The answers are (–1, 8), (0, 7), (3, 18)

<span>–3x + y ≥ 7
</span>Let's go through all choices:

<span>(–2, –3) 
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7       INCORRECT

(–1, 8) 
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7       CORRECT

(0, 7) 
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7       CORRECT

(1, 9) 
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7       INCORRECT

(3, 18) 
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7       CORRECT



Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes

</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16

x ≥ 4 can include x ≤ 16

So, y can be 0: y ≥ 0
8 0
3 years ago
I need some math help please
Yuliya22 [10]

Answer:

A.Pi

Step-by-step explanation:

5 0
2 years ago
-3,6,-9,12,-15 which of the following represents the general term for the sequence give?
Mademuasel [1]

The general term for the sequence a_{n}=(-1)^{n} 3 n

<h3><u>Solution:</u></h3>

Given sequence is -3, 6, -9, 12, -15

We have to find the general term of sequence

The terms in the sequence are found out by using the recursive definition:

a_{n}=(-1)^{n} 3 n

Let us use this definition to find out the terms and check if it matches our given sequence

\begin{array}{l}{\text { For } n=1:-(-1)^{n} 3 n=(-1)^{1} \times 3 \times 1=-3} \\\\ {\text { For } n=2:-(-1)^{n} 3 n=(-1)^{2} \times 3 \times 2=1 \times 6=6} \\\\ {\text { For } n=3:-(-1)^{n} 3 n=(-1)^{3} \times 3 \times 3=-1 \times 9=-9} \\\\ {\text { For } n=4:-(-1)^{n} 3 n=(-1)^{4} \times 3 \times 4=1 \times 12=12} \\\\ {\text { For } n=5:-(-1)^{n} 3 n=(-1)^{5} \times 3 \times 5=-1 \times 15=-15}\end{array}

Thus the general term is given by a_{n}=(-1)^{n} 3 n

7 0
3 years ago
A worde that place before a nawe<br>or pronden in a sentence​
bulgar [2K]

Answer:

Prepositions

Step-by-step explanation:

Prepositions are usually used in front of nouns or pronouns and they show the relationship between the noun or pronoun and other words in a sentence

6 0
3 years ago
Haihai, can you help me please (•◡•) /
Nataly [62]

Answer:

its A!!! :) good luck with the rest of your assignment!

4 0
3 years ago
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