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3 years ago

Factorise fully the expression 2d^2-7d

Mathematics

2 answers:

guajiro [1.7K]3 years ago

8 0

Answer:

d(2d-7)

Step-by-step explanation:

2d^2 -7d

take common

=d(2d-7)

DerKrebs [107]3 years ago

8 0

<h2><u> </u><u>Answer</u> :</h2>

$\large \boxed{ \rightarrow d(2d - 7)}$

<h2><u>Solution</u> :</h2>

$\rightarrow2d {}^{2} - 7d$

$\rightarrow d(2d - 7)$

$\mathfrak{hope \:it \: helps \: you.....}$

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Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm

navik [9.2K]

Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

$1+(-3)=1-3=-2$

Therefore the next term in the sequence is -2.

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4 years ago

A normal distribution has a mean of 10 and a standard deviation of 1. What is the probability of selecting a number that is at m

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Answer:

15.87% probability of selecting a number that is at most 9

Step-by-step explanation:

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3 years ago

Check all that apply in regards to the given sequence:<br> 5, 8, 11, 14, 17, 20, 23, ...

Zielflug [23.3K]

Answer:

see explanation

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 8 - 5 = 11 - 8 = 14 - 11 = 17 - 14 = 20 - 17 = 23 - 20 = 3

This indicates the sequence is arithmetic

The common difference d = 3

The first term a₁ = 5 and

a₈ = 23 + 3 = 26

5 0

3 years ago

Read 2 more answers

Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds. Who was moving faste

Andrews [41]

Answer:

Mai was moving faster.

As, she covered a greater distance in the same amount of time.

Step-by-step explanation:

Given: Mai traveled 15 meters in 6 seconds and Priya travels 22 meters in 10 second.

Calculate the speed of both;

Speed defined as the rate at which an object covers distance.

$Speed = \frac{Distance}{Time}$

Mai traveled 15 meters in 6 seconds

then;

Speed = $\frac{15}{6} = 2.5 m/s$

Priya travels 22 meters in 10 second.

then;

Speed = $\frac{22}{10} = 2.2 m/s$

Reason: Mai traveled faster because she covered a greater distance in the same amount of time.

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3 years ago

Carlos shovels snow from driveways in his neighborhood. he charges $10 for each regular driveway and he charges an extra $7.50 f

stiks02 [169]

Let, the number of regular driveways be x.

Given there are 3 fewer large driveways than regular driveways.

So, the number of large driveways = $(x-3)$

Given, Carlas charges $10 for each regular driveway.

So for x regular driveway the amount will be = $ $(10)(x)$ = $ $(10x)$

And he charges extra $7.50 for each large driveway.

So for each large driveway Carlos charges = $ $(10+7.50)$ = $17.50.

For (x-3) large driveways Carlos will charge = $ $(17.50)(x-3)$ = $ $(17.50x - 52.50)$

Given, the total amount he makes = $140

So we can write the equation as,

$10x + 17.50x - 52.50 = 140$

$27.50x + 52.50 = 140$

We will move 52.50 to the right side by adding it to both sides. We will get,

$27.50x - 52.50 + 52.50 = 140 + 52.50$

$27.50x = 192.50$

Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,

$\frac{(27.50x)}{27.50} =\frac{192.50}{27.50}$

$x =\frac{192.50}{52.50}$

$x = 7$

So we have got the required answer.

The number of regular driveways Carlos shovel = 7.

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4 years ago