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2 years ago

If T(n)=6n-1what is the first term

Mathematics

1 answer:

OleMash [197]2 years ago

3 0

So if you find the 1st term, you should write 1 instead of n
T1 = 6.1 -1
T1= 6-1
T1= 5
Hope it helps!
#MissionExam001

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Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

Write an equation of the line below

gregori [183]

Answer:

The equation of the line is:

$y = 4x + 3$

Step-by-step explanation:

We know that the slope-intercept of line equation is

$y = mx+b$

Where m is the slope and b is the y-intercept

Given the two points on a line

(0, 3)

(-2, -5)

Finding the slope between (0, 3) and (-2, -5)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-5\right)$

$m=\frac{-5-3}{-2-0}$

$m=4$

We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.

From the graph, it is clear:

at x = 0, y = 3

Thus, y-intercept = b = 3

Substituting m = 4 and b = 3 in the slope-intercept form of line equation

$y = mx+b$

$y = 4x + 3$

Therefore, the equation of the line is:

$y = 4x + 3$

8 0

2 years ago

What is the value of 3-6(z-2) if z=-2

krek1111 [17]

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

3 - 6(z - 2)

z = -2

Step 2: Evaluate

Substitute in z: 3 - 6(-2 - 2)
(Parenthesis) Subtract: 3 - 6(-4)
Multiply: 3 + 24
Add: 27

6 0

2 years ago

Read 2 more answers

How do you solve 6 1/2 x 16?

balu736 [363]

Answer:

Step-by-step explanation:

Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )

divide 16 by 2: 8

multiply that by 13: 104

Tell me if this helps or not bc I'm not really sure, but I really hope I helped!

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2 years ago

QUESTION 9 Write the expression by using exponents. 2.2.2.2.2.2 moginio QUESTION 10.

lozanna [386]

Answer:

2^6

Step-by-step explanation:

2*2*2*2*2*2

There are six 2's multiplied together so the base is 2 and the exponent is 6

2^6

3 0

3 years ago