Find the values of x and y that make k|ljand<br> m || n.<br> x=<br> y =

If using the method of completing the square to solve the quadratic equation x2 + 3x - 17 = 0, which number would have to be add

MatroZZZ [7]

Answer:

Step-by-step explanation:

To solve using completing square, we need to write the equation as x2+3x=17.

The next step is to add a number such that the square can be completed. The number must be equal to (b/2a)^2, so here it will be (3/2)^2 = 9/4

The equation then becomes x2+3x+(9/4)=17+(9/4).

Solving it further will get you the final answer

8 0

2 years ago

PLEASE HELP ASAP f(x) = x2 What is g(x)?

vfiekz [6]

Answer:

c. g(x) = 4x^2

Step-by-step explanation:

From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.

We can then look and see that g(1) = 4 as shown by the point given to us on the graph.

To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e

Option C:

once we plug in 1 for x, our equation looks like

4(1)^2.

1^2 = 1, and 4(1) = 4,

so g(1) = 4. and our point is (1,4).

This is the same as the graph so this is the CORRECT answer.

If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.

Option D:

once we plug in 1 for x, our equation looks like

16(1)^2

1^2 = 1, and 16(1) = 16,

so g(1) = 16. and our point is (1,16).

This is different than the graph so this is the WRONG answer.

3 0

3 years ago

Find the Ratio of 1 hour and 45 minutes

Paladinen [302]

1 hour = 60 minutes
1 hour:45 minutes
= 60 minutes:45 minutes
=12 minutes:9 minutes

4 0

4 years ago

Read 2 more answers

.......................

hodyreva [135]

Answer:

1) when tomato patch is 6.5 feet the area is 191.75 sq.ft

2) when tomato patch is 7 feet the area is 217 sq.ft

3) when area is 338 sq.ft the tomato patch is 9.0778 feet

4) when area is 147.25 sq.ft the tomato patch is 5.543799 feet

Step-by-step explanation:

The given equation is :

3x^2 + 10x

Length of Tomato (in feet) x, 6.5 , x , 7

Patch Area of Vegetable Garden (in square feet) 338, x , 147.25, x

So we can find the missing terms with the help of the equation 3x^2 + 10x

Putting the values of x from the length of the tomato patch

1) 3x^2 + 10x= 3(6.5)²+ 10 (6.5)=126.75+ 65= 191.75 square feet

2) 3x^2 + 10x= 3(7)² +10 (7)= 147+70= 217 square feet

So the area of her vegetable garden for a variety of lengths of the tomato patch= 6.5 feet is 191.75 square feet

and for 7 feet is 217 square feet

Similarly we can find the length of the tomato patch from the area by again using the given equation 3x^2 + 10x

So when area = 338 square feet

The equation becomes

3x^2 + 10x= 338

Rearranging it : 3x^2 + 10x-338 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= -338

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 4056/6

x= -10± 64.467/6

x= 54.467/6 or -74.467/6 we ignore the negative value because the garden cannot have the negative area.

x= 9.0778 feet

Similarly repeating the same process would give

So when area = 147.25 square feet

The equation becomes

3x^2 + 10x= 147.25

Rearranging it : 3x^2 + 10x-147.25 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= - 147.25

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 1767/6

x= -10± 43.208/6

x= 33.208/6 or -53.208/6 we ignore the negative value because the garden cannot have the negative area.

x= 5.543799 feet

6 0

3 years ago

Given the relation x = y 4 − 9 y 2, identify the x- and y- axis intercepts.

Svetlanka [38]

The x-intercepts are $(0,0)$

The y-intercepts are $(0,0),(0,3),(0,-3)$

Explanation:

The relation is $x=y^{4} -9y^{2}$

To find the x-intercept, let us substitute $y=0$ in the equation $x=y^{4} -9y^{2}$ , we get,

$x=(0)^{4} -9(0)^{2} \\x=0$

Thus, the x-intercepts are $(0,0)$

To find the y-intercept, let us substitute $x=0$ in the equation $x=y^{4} -9y^{2}$ , we get,

$0=y^{4}-9 y^{2}$

let us switch sides and solving, we get,

$\begin{aligned}y^{4}-9 y^{2} &=0 \\y^{2}\left(y^{2}-9\right) &=0 \\y^{2} &=0, y^{2}-9=0\end{aligned}$

Taking square root,

$y=0$ and $\begin{aligned}y^{2}-9 &=0 \\y^{2} &=9 \\y &=\pm 3\end{aligned}$

Thus, the y-intercepts are $(0,0),(0,3),(0,-3)$

5 0

3 years ago

Find the values of x and y that make k|ljand m || n. x= y =