1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
max2010maxim [7]
3 years ago
11

Use the zero product property to find the solutions to the equation x² + x - 30 = 12.

Mathematics
2 answers:
lions [1.4K]3 years ago
8 0

Option A

Using zero product property the solution to equation x^2 + x -30 = 12 is x = -7 or x = 6

<em><u>Solution:</u></em>

The zero product property is that if the product of two or more factors is equal to zero then at least one of the factors must be equal to zero.

Rearrange the equation so it is equal to zero and then factor the quadratic.  Apply the zero product property to each of the factors to get the solutions.

<em><u>Given equation is:</u></em>

x^2 + x -30 = 12\\\\x^2 + x -30 - 12 = 0

x^2 + x -42 = 0

Now, we will split the middle term

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

Taking "x" as common from first two terms and -6 as common from last two terms

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

Taking (x + 7) as common term,

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

Equate each factor to zero and solve for x ( zero product property )

x + 7 = 0 or x - 6 = 0

x = -7 or x = 6

Thus the solution to given equation is found

grin007 [14]3 years ago
7 0

Answer:A

Step-by-step explanation:

You might be interested in
Which is the graph of f(x) = 3 (2/3)x ?
lozanna [386]

Answer: if the y intercept is 3 it would be the one that has a point at 3 on the y intercept and from that point a rise of 2 and a run of 3

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
PLS DO THIS PLSSSSSSSSSSSSSW
andrezito [222]

Answer:

this is hi ow my teacher taught me put the whole numbers on one side and the fractions on the other the find a common denominator then add all together if it ends up a improper fraction convert to mixed number then add whole numbe and fraction and if the new mixed number has a number add bvb it t ok the whole number then combine to face your final anwser

5 0
2 years ago
A number is selected at
Phoenix [80]

Answer:

0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A number is selected at random from each of the sets {2,3,4} and {1, 3, 5}.

The possible values for the sum are:

2 + 1 = 3

2 + 3 = 5

2 + 5 = 7

3 + 1 = 4

3 + 3 = 6

3 + 5 = 8

4 + 1 = 5

4 + 3 = 7

4 + 5 = 9

Find the probability that the sum of the two numbers is greater than 3 but less than 7?

​4 of the 9 sums are greater than 3 but less than 7. So

p = \frac{4}{9} = 0.4444

0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

6 0
3 years ago
Complete the square:<br> x^2 +6x +c
victus00 [196]

You want to put this in the form (x+b)^2 + c  

To do this take half of the coefficient of b from the ordinal form which is 6/2=3 as use this as your new b

This give you (x+3)^2.  

If you foil this out you get x^2 +6x +9 so you have added 9 to the original expression so now all you need to do is subtract 9 to keep things balanced  

The final expression then is (x+3)^2 -9

<u> So c= -9</u>

7 0
2 years ago
Read 2 more answers
Please help me with this! Show work if possible
photoshop1234 [79]

Answer:

True

Step-by-step explanation:

Suppose you have a quadratic function

ax ^ 2 + bx + c = 0

Factoring this expression results in:

ax ^ 2 + bx + c = (x-h) (x-k) = 0

Where h and k are real numbers.

Then the function is equal to 0 when x = h and when k = 0.

Therefore h and k will always be the solutions when we have the quadratic function factored in the form

(x-h)(x-k) = 0

Since we have ensured that the factors of the function contain only real numbers, then h and k are real numbers, and x and y must also be real numbers. Therefore solutions to an equation in this form will always be real solutions.

The statement is true

6 0
3 years ago
Other questions:
  • Rollie was succesful in losing weight he had a goal weight in mind he went on a diet for three months each month he would lose o
    6·1 answer
  • A ________________________________ is a range of values within which it is probable that the true value of a parameter (e.g., a
    13·1 answer
  • Jeff writes comic strips for local newspaper. The number of comic strips he created is represented by the function f(x)=3x, wher
    14·1 answer
  • How long will it take a couch traveling 90km/he to travel 300 km along a highway​
    6·1 answer
  • Can the set of lengths be the side lengths of a right triangle? 18 m, 24 m, 30 m
    8·1 answer
  • Please help. I dont understand how to do this
    6·1 answer
  • How to write a relative frequency
    7·2 answers
  • A paint roller, shown below, is used for painting large surfaces.
    9·1 answer
  • Help please!!!!!!????!!!!
    12·1 answer
  • Linda climbed a mountain to a
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!