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3 years ago

Which of the following describes a linear function?

Mathematics

1 answer:

Triss [41]3 years ago

6 0

Answer: A. It is a straight line that passes through the origin.

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Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola. equation

BabaBlast [244]

Y = ( x - 3 )² + 4
Vertex of the parabola: ( 3, 4 )
y = - x + b
4 = - 3 + b
b = 7
Equation 2: y = - x + 7
( x - 3 )² + 4 = - x + 7
x² - 6 x + 9 + 4 = - x + 7
x² - 5 x + 6 = 0
x - 2 x - 3 x + 6 = 0
x ( x - 2 ) - 3 ( x - 2 ) = 0
( x - 2 ) ( x - 3 ) = 0
x 1 = 2, x 2 = 3
y 1 = 5, y 2 = 4

5 0

3 years ago

Work out the equation of the line which passes through the point (-1, 2)

Brums [2.3K]

Answer:

y = x +3

Step-by-step explanation:

The equation of a parallel line can use the same x- and y-coefficients as the given equation. Only the constant needs to be found to make the line go through the given point.

<h3>form of the solution</h3>

The equation of the given line is ...

y = x +4

So, the equation of a parallel line will be ...

y = x +b . . . . . for some y-intercept b

<h3>solution</h3>

Using the given point (x, y) = (-1, 2), we can fill in the values and solve for b.

2 = -1 +b

3 = b . . . . . . add 1 to both sides

The desired equation is ...

y = x +3

6 0

2 years ago

Find the first three terms of the recursive formula an+1 = an + 8 if a1 = 27.

alexandr402 [8]

$a_{n+1}=a_n+8$

$a_2=a_1+8=27+8=35$
$a_3=a_2+8=35+8=43$

So the first three terms are $27,35,43$ .

5 0

4 years ago

Combining like term 6k+7k

Nadya [2.5K]

13k is the answer :)

8 0

3 years ago

I really don't know can someone help me

crimeas [40]

6 + 4 ÷ 2

The "order of operations" (which you learned a long time ago
if you're in high school now) says that division should be done
before addition.

So do the division: 4 ÷ 2 = 2

Now you have 6 + 2

Now do the addition: 6 + 2 = 8 .

8 0

3 years ago

Read 2 more answers