What is the slope of X Y 1 7 6 15 11 23 16 31

What is the answer pls?

inna [77]

:) Hope this answers your question :)

6 0

3 years ago

Find g (x) - f (x). g (x) = x^2 + 1 and f (x) = 2x + 5

allochka39001 [22]

Answer:

x^2 - 2x - 4

Step-by-step explanation:

g(x) - f(x) = (x^2 + 1) - (2x + 5) = x^2 + 1 - 2x -5 = x^2 -2x +(1-5) = x^2 - 2x - 4

6 0

3 years ago

Divide using long division. Checky (x3+ 3x2 + x - 9) = (x - 1)

Montano1993 [528]

Answer:

x squared plus 2x minus 1.

Step-by-step explanation:

x3+3x2+x-9 is in the division "house" and x-1 is on the outside. xsquare times x equals x cubed. and x square times negative 1 equals -x squsre. put x square on top of the roof. change the signs. the x cubed cancels out. and bring down 2x square from subtracting 3x square and -x square and bring down the x-9. Put 2x on top of the roof too and 2x times x equals 2x square and multiply by -1. U will have 2x square -2x square and -2x plus x which equals -1x cuz the 2x square cancels out. bring down the -9. Now i have -1x-9. Multiply by -1 and put -1 on the roof. -1x+1x cancels out. and -1 times -1 equals positive 1. So -9+1=8. U van do any further cause as soon as the last number is at the end of the roof and u cant go further, ur done dividing. so the answer is x square+2x-1/×-1 +8 as the remainder. hope i helped

6 0

3 years ago

All the pupils at a primary school come from one of three villages: Elmswell, Haughley or Woolpit. 1/4 of the pupils come from E

Jlenok [28]

Answer:

680

Step-by-step explanation:

Given that:

All the pupils at a primary school come from one of three villages: Elmswell, Haughley or Woolpit.

$\frac{1}{4}$ of the pupils come from Elmswell

$\frac{3}{5}$ of the pupils come from Haughley

102 pupils come from Woolpit.

To find:

Total number of pupils in the school.

Solution:

Let total number of pupils = $100x$

So, number of pupils that come from Elmswell = $\frac{1}{4}$ of 100x

OR

$\dfrac{1}{4} \times 100x\\\Rightarrow 25x$

And, number of pupils that come from Haughley= $\frac{3}{5}$ of 100x

OR

$\dfrac{3}{5} \times 100x\\\Rightarrow 60x$

Number of pupils that come from Woolpit = $100x - 25x - 60x \Rightarrow 15x$

As per given statement:

$15x = 102\\\Rightarrow x =6.8$

Number of pupils from Elmswell = 25x = 25 $\times$ 6.8 = 170

Number of pupils from Haughley = 60x = 60 $\times$ 6.8 = 408

Total number of pupils at the school = $100x \Rightarrow 100 \times 6.8=680$

7 0

3 years ago

Solve the following system of linear equations: 3x1+6x2+6x3 = -9 -2x1–3x2-3x3 = 3 If the system has infinitely many solutions, y

choli [55]

Answer:

The set of solutions is $\{\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}12\\-7-r\\r\end{array}\right]: \text{r is a real number} \}$

Step-by-step explanation:

The augmented matrix of the system is $\left[\begin{array}{ccccc}3&6&6&-9\\-2&-3&-3&3\end{array}\right]$ .

We will use rows operations for find the echelon form of the matrix.

In row 2 we subtract $\frac{2}{3}$ from row 1. (R2- 2/3R1) and we obtain the matrix $\left[\begin{array}{cccc}3&6&6&-9\\0&1&1&-7\end{array}\right]$
We multiply the row 1 by $\frac{1}{3}$ .

Now we solve for the unknown variables:

$x_2+x_3=-7$ , $x_2=-7-x_3$
$x_1+2x_2+2x_3=-2$ , $x_1+2(-7-x_3)+2x_3=-2$ then $x_1=12$

The system has a free variable, the the system has infinite solutions and the set of solutions is $\{\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}12\\-7-r\\r\end{array}\right]: \text{r is a real number} \}$

6 0

3 years ago

What is the slope of X Y 1 76 1511 2316 31