All categories

3 years ago

PLEASE HELP I HAVE TO TURN THIS IN IN 30 MINUTES

Mathematics

2 answers:

ryzh [129]3 years ago

4 0

8(5t-2)
is the answer factored completely

Vitek1552 [10]3 years ago

3 0

So to factorise binomials, you need to find the thing that both terms have in common. In this case, it is an 8 because 40 ÷ 8 = 5 and 16 ÷ 8 = 2. That means that an 8 goes outside the bracket, like 8(__). Now, we just find what we need to multiply 8 by to create 40t and -16, which is 5t and -2, so your answer is 8(5t - 2). I hope this helps!

You might be interested in

A person on a moving sidewalk 21 feet in 7 senconds the moving sidewalk has a lenght of 180 feet. How long will it take to move

aliina [53]

Answer:

He will take 60 seconds to move from one end of the sidewalk to other.

Step-by-step explanation:

Given:

A person on a moving sidewalk,

21 feet in 7 seconds

Then 180 feet

To Find:

Total time =?

Solution:

Speed:

Speed is defined as the rate of distance covered in per unit time.

It is given as

$\textrm{Speed }=\dfrac{\textrm{Distance}}{Time}$

Substituting the given values we get

$\textrm{Speed }=\dfrac{21}{7}=3\ m/s$

Now, With this speed if he walk 180 feet then the time is

$\textrm{Time}=\dfrac{\textrm{Distance}}{Speed}$

Substituting Speed and Distance we get

$\textrm{Time}=\dfrac{180}{3}=60\\\\Time=60\ s$

He will take 60 seconds to move from one end of the sidewalk to other.

5 0

3 years ago

Solve the quadratic equation by completing the square. 6x2 + 4x - 5 = 0

GalinKa [24]

4x+7 would be your answer

5 0

4 years ago

Write the recursive formula and the explicit formula for the sequence {-15,-7,1,9, 17,...}.

olchik [2.2K]

ANSWER

Explicit formula:

$a_n= 8n - 23$

Recursive

$a_{n}= a_{n - 1} + 8,a_1=-15$

EXPLANATION

The first term of the sequence is

$a_1=-15$

The common difference is

$d = - 7 - - 15$

$d = 8$

The nth term is given by the formula,

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

$a_n= - 15+ 8(n - 1)$

$a_n= - 15+ 8n -8$

The explicit formula is;

$a_n= 8n - 23$

The recursive definition is

$a_{n}= a_{n - 1} + 8,a_1=-15$

5 0

4 years ago

Write an equation for a polynomial with all the following features a. The degree is 5 b. The polynomial has 4 terms c. The graph

ladessa [460]

Answer:

f(x) = ax^5 + bx^3 + cx^2 + 12.

Step-by-step explanation:

the degree is 5 so we will have a term like:

ax^5

it crosses the vertical axis at y = 12 so we will have a constant term equal to 12

the polynomial has 4 terms, and we already have two so we can make up two more but the exponent must be between 1 and 4

f(x) = ax^5 + bx^3 + cx^2 + 12.

it has 4 terms, f(0) = 12, then it intersects the y-axis at y = 12, and the maximum exponent is 5, then the degree of f(x) is 5

8 0

3 years ago

Find an equation in standard form of the parabola passing through the points (1, -2), (2, -2), (3, -4)?

strojnjashka [21]

9514 1404 393

Answer:

y = -x^2 +3x -4

Step-by-step explanation:

We are given two points with the same y-value, so we know the axis of symmetry lies halfway between their x-coordinates, at ...

x = (1 +2)/2 = 3/2

Then the vertex form of the equation can be written ...

y = a(x -3/2)^2 +k

We can use two of the points to find the values of 'a' and 'k'.

-2 = a(1 -3/2)^2 +k = a/4 +k

-4 = a(3 -3/2)^2 +k = 9a/4 +k

Subtracting the first of these equations from the second, we have ...

(9a/4 +k) -(a/4 +k) = (-4) -(-2)

2a = -2

a = -1

Then k can be found from the first equation.

-2 = -1/4 +k

k = -1 3/4

So, the vertex form equation is ...

y = -(x -3/2)^2 -7/4

Expanding this, we can find the standard form.

y = -(x^2 -3x +9/4) -7/4)

y = -x^2 +3x -4

5 0

3 years ago