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3 years ago

Describe a pattern in the table. tables: 1 2 3 4 5chairs: 5 10 15 20 25

Mathematics

2 answers:

vovangra [49]3 years ago

7 0

Tables is adding by 1 each time
Chairs is adding by 5 each time

Dennis_Churaev [7]3 years ago

3 0

Step-by-step explanation:

The pattern in the table:

Tables: 1 2 3 4 5

Chairs: 5 10 15 20 25

For tables, it is adding 1 each time.

For chairs, it is adding 5 each time.

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What is -5x^2+7x+1 from 8x^2+x-10

Oliga [24]

Answer:

13x^2 - 6x -11

Step-by-step explanation:

8 0

3 years ago

What is the vertex for the following quadratic?<br> f(x)= 2x^2-12x+16

LenaWriter [7]

Answer:

(3, -2)

Step-by-step explanation:

To find the vertex, put the equation into vertex form by completing the square

2(x^2 - 6x) + 16 [pulling out the 2]

2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]

2(x - 3)^2 - 2 [simplify the equation]

vertex is (3, -2)

7 0

3 years ago

(1 point) Find two unit vectors orthogonal to a=⟨4,5,0⟩a=⟨4,5,0⟩ and b=⟨0,1,−3⟩b=⟨0,1,−3⟩ Enter your answer so that the first no

Anni [7]

Answer:

First vector

$V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}$

Second vector

$V=- \dfrac{-15i+12j+4k}{\sqrt{385}}$

Step-by-step explanation:

Given that

Vector a , a= 4 i + 5 j + 0 k

Vector b , b= 0 i + 1 j - 3 k

The orthogonal vector V is given as

V = a x b

V is the cross product of the above two vector which is orthogonal to the vectors a and b.

$V=\begin{vmatrix}i & j & k\\ 4 & 5 & 0\\ 0& 1 &-3 \end{vmatrix}\\V=i(-15-0)-j(-12-0)+k(4-0)\\V=-15i+12j+4k$

The unit vectors

$V=\pm \dfrac{-15i+12j+4k}{\sqrt{15^2+12^2+4^2}}\\\\V=+\dfrac{-15i+12j+4k}{\sqrt{385}}\\V=-\dfrac{-15i+12j+4k}{\sqrt{385}}$

First vector

$V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}$

Second vector

$V=- \dfrac{-15i+12j+4k}{\sqrt{385}}$

5 0

3 years ago

A town has a population of 2000 and grows at 4% every year write an equation to represent the scenario

vfiekz [6]

Answer: $P=2000(1.04)^t$ .

Step-by-step explanation:

It is given that,

Initial population of a town = 2000

Growth rate = 4% = 0.04 per year

The exponential growth function for population is

$P=P_0(1+r)^t$

where, $P_0$ is initial population, r is growth rate and t is number of years.

Substitute $P_0=2000,r=0.04$ in the above equation.

$P=2000(1+0.04)^t$

$P=2000(1.04)^t$

Therefore, the required equation is $P=2000(1.04)^t$ , where P is population after t years.

7 0

3 years ago

Math help 20 points<br> help

astra-53 [7]

Answer:

1. x =8

2. x=9

Step-by-step explanation:

Since these figures are parallelograms, the opposite sides are equal.

1. 6 = 2x-10

Add 10 to each side

6+10 = 2x-10+10

16 = 2x

Divide each side by 2

16/2 = 2x/2

8 =x

2. x+14 =23

Subtract 14 from each side

x+14-14 = 23-14

x = 9

6 0

3 years ago

Describe a pattern in the table. tables: 1 2 3 4 5chairs: 5 10 15 20 25​

Describe a pattern in the table. tables: 1 2 3 4 5chairs: 5 10 15 20 25