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kari74 [83]
2 years ago
13

The factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot:

1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x – 4?
Mathematics
2 answers:
inessss [21]2 years ago
8 0

Answer:

a

Step-by-step explanation:

e2020

arsen [322]2 years ago
5 0

Answer:

The factors of x^2+3x-4 are (x-1)(x+4) ....

Step-by-step explanation:

We have to find the factors of x^2+3x-4

As we know that this is a quadratic equation.

So we have to find the roots first.

The roots are -1 and 4.

Now completing the quadratic formula using the roots we have :

x^2+4x-x-4

Make a pair of first two terms and last two terms:

(x^2+4x)-(x+4)

Now take out the common from each pair:

x(x+4)-1(x+4)

(x-1)(x+4)

Thus the factors of x^2+3x-4 are (x-1)(x+4) ....

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Apply the distributive property to factor out the greatest common factor 16g+20h
UkoKoshka [18]

Answer:

4(4g+5h)

Step-by-step explanation:

Factor out the 4.

5 0
2 years ago
An individual is hosting a cookout for the kick ball team. The individual wants to have two hot dogs for each guest, and 6 extra
hoa [83]

Answer:

Option 2) y = 26    

Step-by-step explanation:

We are given the following in the question:

The individual wants to have two hot dogs for each guest, and 6 extra hot logs in case some teammates bring friends.

Thus, the dependent variable is the number of hot dogs.

\text{y: Number of hot dogs}

The independent variable is the number of teammates.

\text{x: Number of teammates}}

Thus, the linear relation between the dependent and the independent variable is given as:

y(x) = 2x + 6

We have to find the value of dependent variable when independent variable is 10

For x = 10

y(10) = 2(10) + 6 = 26

Thus, the correct answer is

Option 2) y = 26

3 0
2 years ago
we are asking everyone to focus on reducing their average transaction time by 10%. the average transaction time for this locatio
Anettt [7]

Answer:

We have to get the average transaction time down to 371 seconds or 6 minutes 11 seconds.

Step-by-step explanation:

The average transaction time for this location is 6 minutes and 52 seconds.

1\text{ minute}=60\text{ seconds}

6\text{ minute}=6\times 60\text{ seconds}

6\text{ minute}=360\text{ seconds}

The average transaction time for this location is

360+52=412\text{ seconds}

The average transaction time is reduced by 10%.

412-\frac{10}{100}\times 412=412-41.2=370.8\approx 371\text{ seconds}

The average transaction time of this location reduced to 371 seconds.

\frac{371}{60}=\frac{360+11}{60} =6+\frac{11}{60}

The average transaction time of this location reduced to 6 minutes 11 seconds.

6 0
2 years ago
Read 2 more answers
A pool in the shape of a rectangle has a perimeter of 80feet. The pool is 8 feet less wide than it is long. Find the length and
Lyrx [107]

Answer:

The length and width of the pool = 24 ft and 16 ft

Step-by-step explanation:

Let length of pool be l and width of pool be w.

A pool in the shape of a rectangle has a perimeter of 80feet.

Perimeter of pool = 2 x ( l + w ) = 80 feet

That is

       l + w  = 40 ft -----------------------------------eqn 1.

The pool is 8 feet less wide than it is long.      

      l = 8 + w

       l - w  = 8 ft -----------------------------------eqn 2.      

eqn 1 + eqn 2

        2 l = 48

         l = 24 ft

Substituting

         24 + w = 40

         w = 16 ft

The length and width of the pool = 24 ft and 16 ft

5 0
2 years ago
Read 2 more answers
In a survey of a town, 56% of residents own a car, 21% of residents now a truck, and 4% of residents own both a car and a truck.
Vesna [10]
The conditional probability is 80
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2 years ago
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