All categories

3 years ago

Factorise 3(x+y)^2 -5(x+y) + 2

Mathematics

2 answers:

Oduvanchick [21]3 years ago

8 0

Answer:

3x^2 + 6xy + 3y^2 -5x -5y + 2

Step-by-step explanation:

3(x+y)^2 -5(x+y) + 2

3(x^2 + 2xy + y^2) -5x -5y + 2

Mulyiply the parantheses by 3,

3x^2 + 6xy + 3y^2 -5x -5y + 2

sammy [17]3 years ago

6 0

Answer:

$3x^2+3y^2+6xy-5x-5y+2$

Step-by-step explanation:

$3(x+y)^2 -5(x+y) + 2$

$\mathrm{Expand}\:-5\left(x+y\right)+2$

$-5x-5y+2$

$\mathrm{Simplify}\:3\left(x+y\right)^2$

$3\left(x^2+2xy+y^2\right)$

$3x^2+3\times \:2xy+3y^2$

$3x^2+6xy+3y^2$

$=3x^2+3y^2+6xy-5x-5y+2$

You might be interested in

Is this correct? helppp

Marta_Voda [28]

Answer:

Yes its correct the unhighlighted is complement

8 0

2 years ago

Read 2 more answers

Which values of a and b make the equation true

bixtya [17]

Love your profile pic

5 0

3 years ago

find the slope of the line that contains the following points A : [ 17 , -12 ] and [ 17 , 8 ] and B [ 6 , -2 ] and [ -3 , 1 ]

Svetradugi [14.3K]

1/9 because i you plug in two of the points into y2 -y1 over x2 -x1 thats what you get.

4 0

3 years ago

The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran

VARVARA [1.3K]

Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, $X =$ "Comprehensive strength of concrete". We have information that $X$ is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, $X \sim N(2500, 2500)$ .

We want to know the probability of the mean of X or $\bar{X}$ that falls in the interval $[2499;2510]$ . From inference theory we know that :

$\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)$

Now we can find the probability as follows:

$P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )$

Where $Z \sim N(0,1)$ , then:

$P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798$

8 0

3 years ago

Suppose you choose a marble from a bag containing 5 red marbles, 3 white marbles, and 6 blue marbles. You return the first marbl

Aneli [31]

$|\Omega|=14^2=196\\
|A|=5\cdot6\cdot2=60\\\\
P(A)=\dfrac{60}{196}=\dfrac{15}{49}$

5 0

3 years ago