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Lemur [1.5K]
3 years ago
8

Enter an equation to find three numbers with the following properties. Let x be the first number. The second number is 6 more th

an the first number. The third number is 7 times the second number. The sum of the third number and the product of the first and second numbers is 0. Solve the equation and give the three numbers.
Mathematics
2 answers:
jarptica [38.1K]3 years ago
7 0

First number: x

Second number: (x + 6)

Third number: (x + 6) * 7

Equation: 0 = (x)(x + 6) + 7(x + 6)

Steps to solve:

0 = x^2 + 6x + 7x + 42

0 = x^2 + 13x + 42

Using the quadratic equation, x could equal -7 or -6. In our equation above, both are applicable.

The three numbers could be -6, 0, and 0. Or they could be -7, -1, and -7.

Hope this helps!! :)

krok68 [10]3 years ago
4 0

Answer:

-7, -1, -7

-6, 0, 0

Step-by-step explanation:

x

x+6

7(x+6)

7(x+6)+ x(x+6) = 0

(x+6)(7+x) = 0

x = -6, -7

-6, 0, 0

-7, -1, -7

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Need help doing this questions, all help is appreciated thanks.
vichka [17]

Answer:

The answer to your question is the third option

Step-by-step explanation:

To know if two lines are parallel we must get their slopes if the slopes are equal, the lines are parallel.

Data

A (2,2)

B (3,6)

C(0,5)

D(1,9)

Formula

slope = \frac{y2 - y1}{x2 - x1}

Process

1.- Calculate the slope of line 1

slope 1 = \frac{6 - 2}{3 - 2}

slope 1 = \frac{4}{1}

slope 1 = 4

2.- Calculate slope 2

slope 2 = \frac{9 - 5}{1 - 0}

slope 2 = \frac{4}{1}

slope 2 = 4

3.- Compare the slope

slope 1 = 4 and slope 2 = 4, both slope are equals, then the lines are parallel.

8 0
3 years ago
Which expression is equivalent to 2(a+3) when a equals 3<br><br>2(3)<br>5(3)<br>2(3)+3<br>2(3)+6​
sammy [17]
2(3+3) or 2(3)+6, so the answer is the third option. It’s just using the distributive property.
8 0
3 years ago
Read 2 more answers
The mathematics department of a college has 6 male professors, 9 female professors, 5 male teaching assistants, and 6 female tea
Hitman42 [59]

Given:

6 male professores

9 female professores

5 male teaching assistants

6 female teaching assistants

Sol:.

N(A\text{ or B)=N(A)+N(B)-N(A and B)}

N (professors)

\begin{gathered} =6+9 \\ =15 \end{gathered}

N(Male)

\begin{gathered} =6+5 \\ =11 \end{gathered}

N(professors and male)

=6

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}

N(People to choose from)

\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}

Then probablitiy is:

\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}

Then the probability is 10/13

6 0
1 year ago
Vítor knows he must prepare and possibly prevent overdraft funds fees since they are charged automatically. Which statement belo
galina1969 [7]
The statement below would be the least effective element of a plan Vitor could use to accurately estimate (or minimize) overdraft fees on the account is he need to <span>use the debit card for a large number of small purchases and check the balance later.</span>
6 0
3 years ago
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Ayana has 220 coins in her piggy bank Of those 40percent are pennies. Out of the coins that are not pennies 25 percent are partn
Rzqust [24]
To find a percent of a number, multiply the percent by the number.

First we find the number of pennies.

40% of 220 =

= 40% * 220

= 0.4 * 220

= 88

88 coins are pennies.

220 - 88 = 132

132 coins are not pennies.

Now we find 25% of 132.

25% of 132 =

= 25% * 132

= 0.25 * 132

= 33

33 coins are partners.

(Did you mean quarters instead of partners?)
3 0
3 years ago
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