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3 years ago

Which ordered pair is a solution of the equation?

Mathematics

2 answers:

seraphim [82]3 years ago

8 0

Answer:

B.- Only (-3,5)

Step-by-step explanation:

In an ordered pair the first coordinate is the $x$ coordinate, and the second coordinate corresponds to the $y$ coordinate.

Then we must substitute the given value of $x$ in the equation and verify that we get in return the defined value for $y$ .

the options are

$(-2,4)$

in this one $x = -2$ , and $y=4$ , so let's confirm:

$y=-3x-4\\y=-3(-2)-4\\y=-6-4\\y=2$ this is not a solution since the $y$ values are not the same.

$(-3,5)$

in this one $x= -3$ and $y=5$ , let's also confirm:

$y=-3(-3)-4\\y=9-4\\y=5$ in this one the values for $y$ are equal, this is a solution for the equation.

frozen [14]3 years ago

3 0

It’s B because 5 = -3(-3) - 4
5=9-4
Just plug in the numbers and see what works

You might be interested in

Is 4/6 = 9/12 not proportionate

andre [41]

$\text{If}\ \dfrac{a}{b}=\dfrac{c}{d}\ \text{is proportional, then}\ ad=bc.\\\\\text{We have}\ \dfrac{4}{6}=\dfrac{9}{12}.\ \text{Cross multiply}\\\\(4)(12)=(6)(9)\\\\48=54\ FALSE\\\\Answer:\ NOT\ PROPORTIONAL$

4 0

3 years ago

Willie changes the quadratic function f(x)=x2?6x+14 to vertex form f(x)=a(x?h)2+k. If Willie does this correctly, what is the va

andrew11 [14]

Answer:

The value of k is 5.

Step-by-step explanation:

Since we know we can convert function's quadratic form to vertex form by completing the square.

f(x)=x2?6x+14

We will add and subtract 9 to our equation in order to complete the square.

$1(x^{2} ?6x+9)-9+14$

Upon completing the square and combining like terms we will get,

$1(x?3)^{2} +5$

Upon comparing Willie's vertex form with our expression we can see that k is 5.

Therefore, the value of k is 5.

8 0

4 years ago

13. For the arithmetic sequence: 6, 12, 18, 24,...

serg [7]

a_15 = 90

a_n = 6n

Step-by-step explanation:

Given sequence is:

6, 12, 18, 24,...

First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

$d=a_2-a_1 = 12-6 = 6\\d=a_3-a_2= 18-12 = 6$

The general form for arithmetic sequence is:

$a_n=a_1+(n-1)d$

Putting the values for a_1 and d

$a_n=6+(n-1)(6)\\a_n=6+6n-6\\a_n=6n$

$a_{15} = 6(15)\\=90$

<u>b) Write an equation for the nth term.</u>

The equation is: a_n=6n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

Can anyone help me with this?

Artemon [7]

7) 5+4 = 9

4+5=9

8) 6+5 = 11

5+6 = 11

9) 6+7 = 13

7+6 = 13

10) 7+8 = 15

8+7 = 15

11) 8+9 = 17

9+8 = 17

12) 5+6 = 11

6+5 = 11

13) 7+6 = 13

6+7 = 13

14) 9+8 = 17

8+9 = 17

3 0

3 years ago

Read 2 more answers

For a parabola with a minimum point at (3,-1), determine the equation for the function's axis of symmetry

algol [13]

Answer:

x=3

(Do not write a character less than what I have written; 3 is not the answer but x=3 is the answer.)

Step-by-step explanation:

Parabolas have a axis of symmetry; this is the line they are symmetrical about.

The line of symmetry will always go through the vertex.

Since your question says it is a function the line will be vertical and will be of the form x=a number.

The number is determine by the x-coordinate of the vertex.

I know the vertex of your problem is (3,-1) because it says that is the minimum point of the graph. The vertex of a parabola will always be it's maximum (this parabola is open down) or minimum (this parabola is open up).

So the axis of symmetry is just:

x=3.

You must actually write x=3.

3 is not the answer.

x=3 is the answer.

Little note down here:

(If it had said the parabola wasn't a function, the axis of symmetry would have been horizontal and therefore of the form y=a number where the number was the y-coordinate of the vertex.)

8 0

3 years ago

Read 2 more answers