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Svetllana [295]
2 years ago
8

(x + 4)( x + 7) simplified

Mathematics
1 answer:
lora16 [44]2 years ago
4 0

Answer:

x² +11x +28

Step-by-step explanation:

(x +4) (x+7)

take the first x and multiply by x and then the 7 which gives you x² +7x

then take the 4 and multiply it by the x and the 7 which gives you 4x + 28

add all like terms

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Use the zero product property to find the solutions to the equation (x 2) (x 3) = 12.
oee [108]

The solution of the given equation is -6 and 1.

<h3>What is Quadratic Equation?</h3>

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given equation:

  (x+2)(x+3) = 12

 x(x+3)+2(x+3) = 12

 x² + 3x + 2x + 6 = 12

 x² + 5x + 6 - 12 = 0

 x² + 5x - 6 = 0

 x² + 6x - x - 6 = 0

 x(x+6) -1(x+6) = 0

 (x+6)(x-1) = 0

Now, x + 6 = 0      or      x - 1 = 0

        x = -6           or      x = 1

Thus, the solution of the given equation is -6 and 1.

Learn more about Quadratic Equation from:

brainly.com/question/17177510

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8 0
1 year ago
Please Assist With This Equation<br><br>*Please Show Work*​
Tomtit [17]

Answer:

240 hours

Step-by-step explanation:

One person hour is a unit indicating the rate at which one person is working on the project .

The company estimates that it will take 2880 person- hours to complete the job

So let's determine how many hours it will take 12 workers to complete same job

The rate = 2880 person/hour

12 persons or workers =( 2880 person/hour)/12 persons

12 persons or workers = 2880/12

12 persons or workers=240 hours

It will take 12 workers 240 person hour to finish the project.

Thank you

8 0
3 years ago
As a block of ice melts it changes from 1 3/4 lb to 1/4 lb and takes 1/4 hr. What is the rate the ice changes?
Nutka1998 [239]

The rate at which the ice changes is -3/8 lb per hr

<h3>What is the rate the ice changes?</h3>

The given parameters are:

Changes =1 3/4 lb to 1/4 lb

Time = 1/4 hr.

The rate the ice changes is calculated as:

Rate = Change/Time

So, we have

Rate = (1/4 lb - 1 3/4 lb)/(1/4 hr)

Evaluate the difference

Rate = (-1 1/2 lb)/(1/4 hr)

Evaluate the quotient

Rate = -3/8 lb per hr

Hence, the rate at which the ice changes is -3/8 lb per hr

Read more about rates at:

brainly.com/question/19493296

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8 0
1 year ago
3/4x-2=2/5<br> Rewrite so there is no fractions
jek_recluse [69]

Answer:

15x - 40 = 8

Step-by-step explanation:

3/4x-2=2/5

Multiply each side by 4*5 or 20

20 (3/4x-2=2/5)

15x - 40 = 8

7 0
3 years ago
Which ordered pair is the solution to the system of equations?
SOVA2 [1]
To find the solution, we use the substitution method. 

x+y=-1
<span>x-3y=11
</span>
x+y = -1-y
  -y       

x = -1-y

Now apply the value of x into the other equation.

x-3y=11
-1-y-3y = 11

Combine like terms

-4y -1 = 11
       +1    +1
-4y = 12

-4y = 12
-4y/-4 = 12/-4
y = -3

Now, apply the value of Y to one equation to find x.

y = -3

x -3 = -1
   +3   +3  
 
x= 2

Now we have the value for both, x and y.
x = 2
y =-3

Final answer: A. <span>(2, −3)</span>
3 0
3 years ago
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