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Kitty [74]
2 years ago
11

Here are two column vectors. f= 4 5 g= 5 -2 Work out 3f - 2g

Mathematics
1 answer:
KonstantinChe [14]2 years ago
6 0

Answer:

33f-45g

Step-by-step explanation:

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Prove that using: X ∩ (Y ∪ Z ) =(X∩Y) ∪ (Y ∩ Z )
sertanlavr [38]

There should be a typo in the question: the correct formula would be

X\cap(Y\cup Z)=(X\cap Y)\cup (X\cap Z)

Let's compute X\cap (Y\cup Z) first. We have

(Y\cup Z)=\{1, 4, 5, 6, 7, 8, 9\}

If we intersect this set with X, we have

X\cap (Y\cup Z) = \{5, 8, 9\}

So, that would be the left hand side. For the right hand side, we have

X\cap Y = \{8\},\quad X\cap Z = \{5,9\}

And their union is again \{5,8,9\}

5 0
3 years ago
What is the value of the expression shown right next to it -7 3/4 + 3 1/2
zubka84 [21]

Answer: -4\frac{1}{4}

<u>Step 1</u>

<u></u>-\frac{31}{4} + 3\frac{1}{2}<u></u>

<u></u>

<u>Step 2</u>

<u></u>-31/4+7/2<u></u>

Answer: -17/4

<u>Divide</u>

-17/4=-4.25

-4.25=-4\frac{1}{4}

6 0
3 years ago
Read 2 more answers
A rectangular park, 90 meters by 60 meters, is to be built on a city block having an area of 9000 m^2. A uniform strip borders a
stealth61 [152]

Answer:

x = 10.52 m

Step-by-step explanation:

Given that,

Length of a park = 90 m

Width of a park = 60 m

Area, A = 9000 m²

A uniform strip borders all four sides of the park for parking. We need to find the width of the strip. Let it is x. Now the area becomes,

(90+2x)(60+2x) = 9000

4x^2 +120x +180x =5400 = 9000\\\\x=10.52\ m

So, the width of the strip is equal to 10.52 m.

8 0
3 years ago
If f(x)=(2x^2)-1, find:<br> -f(3x-1)+2
Sergeeva-Olga [200]

Answer:

-f(3x - 1) + 2 = -18x² + 12x + 1

Step-by-step explanation:

Step 1: Find f(3x - 1)

f(3x - 1) = 2(3x - 1)² - 1

f(3x - 1) = 2(9x² - 6x + 1) - 1

f(3x - 1) = 18x² - 12x + 2 - 1

f(3x - 1) = 18x² - 12x + 1

Step 2: Plug in f(3x - 1)

-(18x² - 12x + 1) + 2

Step 3: Evaluate

-18x² + 12x - 1 + 2

-f(3x - 1) + 2 = -18x² + 12x + 1

8 0
3 years ago
Read 2 more answers
What is the common ratio of the sequence?<br> -2, 6, -18, 54,...
marta [7]

Answer:1:3

Step-by-step explanation:

4 0
4 years ago
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