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4 years ago

Factorise 3x^2+13x+4 by splitting the middle term

Mathematics

1 answer:

mihalych1998 [28]4 years ago

4 0

Answer:

( x + 4 ) ( 3x + 1 )

Step-by-step explanation:

→ Identify the product, sum & factors

Product = 4

Sum = 13

Factors = 4 & 1

3x² + 12x + x + 4

→ Factorise 3x² + 12x and x + 4

3x² + 12x ⇔ 3x ( x + 4 )

x + 4 ⇔ 1 ( x + 4 )

→ Take out the ( x + 4 ) as a factor and ( 3x + 1 )

( x + 4 ) ( 3x + 1 )

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If each quadrilateral below is a trapezoid blind the missing measure’s

uysha [10]

Answer:

measure of angle is E is 45 degrees besausw if you look closely then it is a

45,45,90, Triangle and so E is 45 degrees

measure of c = 360-45+79+134 = 102 ° degrees

8 0

3 years ago

The length of a rectangle is seven inches more than its width. Its area is 78 square inches. Find the width and length of the re

Alekssandra [29.7K]

Answer:

Length: 23.38

Width: 3.34

Step-by-step explanation:

First I drew out a diagram so that I could visibly see the problem. [ a rectangle with 7x on one side and x on the other.

So to find the area you multiply length time width and 7x times x is 7x^2. The actual area is given: 78, so you set that equal to 7x^2.

Then you want to divide by 7 to get 11.14. Then you want to take the square root of 11.14 to get 3.338 which rounds to 3.34 {try not to round until the very end]. This gives you the width of the rectangle, so to find the length you would have to multiply x by 7 to get 23.38. When you multiply the length and width (3.34 x 23.38) you get 78.08 which can round to 78.

7x^2 = 78

x^2 = 78/7

x^2= 11.142...

x = sqrt(1.142...)

x = 3.338 --> 3.34 --> width

3.34 x 7 --> 23.38 --> length

3.34 x 23.38 --> 70.8

8 0

3 years ago

Read 2 more answers

Solve problem g(x) = -3x + 1

alina1380 [7]

If by solving you mean find the roots, all you have to do is plug 0 in for g(x)

0=-3x+1
-1=-3x
-1/-3=-3x/-3
1/3 = x

5 0

3 years ago

You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to o

diamong [38]

Answer:
14 cases

Explanation:
First, we will need to find the number of cases needed per day:
We know that one case includes 150 bars and that the daily consumption is 300 bars. To know the number of cases needed daily, we will use cross multiplication as follows:
1 case .............> 150 bars
?? cases .........> 300 bars
number of cases needed daily = $\frac{300*1}{150}$ 
number of cases needed daily = 2 cases

Then, we will get the number of cases needed weekly (7 days):
We know that 2 cases are needed daily. To know the number of cases needed weekly (7 days), we will simply use cross multiplication as follows:
1 day .............> 2 cases
7 days ...........> ?? cases
number of cases needed weekly = $\frac{7*2}{1}$ 
number of cases needed weekly = 14 cases

Hope this helps :)

5 0

3 years ago

A set of equations is given below: Equation A: u = 4v + 1 Equation B: u = 3v + 5 Which of the following is a step that can be us

ss7ja [257]

I am not sure if this answers your question exactly, but because both equations are equal to "u" than you can equal them to each other.

It would be the last answer because you are setting them equal to each other.

4 0

4 years ago