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Viktor [21]
2 years ago
7

A²b-b² if a = 3 and b = -4

Mathematics
1 answer:
LiRa [457]2 years ago
8 0

The answer is -52

First you must substitute the variables

(3^2)(-4)-(-4^2)

Then you must simplify

-52

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Twelve less than four times a number is -11. *
Nutka1998 [239]
EXPLANATION:
Let the no. be x.
4x-12= -11
4x= -11+12
x=1/4
x=0.25

ANSWER:
x=0.25

Hope it helps u! :)
6 0
2 years ago
Prove that if {x1x2.......xk}isany
Radda [10]

Answer:

See the proof below.

Step-by-step explanation:

What we need to proof is this: "Assuming X a vector space over a scalar field C. Let X= {x1,x2,....,xn} a set of vectors in X, where n\geq 2. If the set X is linearly dependent if and only if at least one of the vectors in X can be written as a linear combination of the other vectors"

Proof

Since we have a if and only if w need to proof the statement on the two possible ways.

If X is linearly dependent, then a vector is a linear combination

We suppose the set X= (x_1, x_2,....,x_n) is linearly dependent, so then by definition we have scalars c_1,c_2,....,c_n in C such that:

c_1 x_1 +c_2 x_2 +.....+c_n x_n =0

And not all the scalars c_1,c_2,....,c_n are equal to 0.

Since at least one constant is non zero we can assume for example that c_1 \neq 0, and we have this:

c_1 v_1 = -c_2 v_2 -c_3 v_3 -.... -c_n v_n

We can divide by c1 since we assume that c_1 \neq 0 and we have this:

v_1= -\frac{c_2}{c_1} v_2 -\frac{c_3}{c_1} v_3 - .....- \frac{c_n}{c_1} v_n

And as we can see the vector v_1 can be written a a linear combination of the remaining vectors v_2,v_3,...,v_n. We select v1 but we can select any vector and we get the same result.

If a vector is a linear combination, then X is linearly dependent

We assume on this case that X is a linear combination of the remaining vectors, as on the last part we can assume that we select v_1 and we have this:

v_1 = c_2 v_2 + c_3 v_3 +...+c_n v_n

For scalars defined c_2,c_3,...,c_n in C. So then we have this:

v_1 -c_2 v_2 -c_3 v_3 - ....-c_n v_n =0

So then we can conclude that the set X is linearly dependent.

And that complet the proof for this case.

5 0
3 years ago
What is the degree for the polynomial below ? <br> 2x^(2)+3x + 1
velikii [3]

Answer:

The exponent is 2, so the degree is 2

5 0
2 years ago
Martha made a purchase for $70.20 including 8% sales tax.<br> What was the total before tax?
Oduvanchick [21]

Answer:

64.58

Step-by-step explanation:

100%-8%=92%

70.20*92%=64.58

3 0
2 years ago
Jaxson drove 4 miles in i of an hour. If he drove at a constant rate, how far did he
statuscvo [17]

Answer:

Socratic app

Step-by-step explanation:

it will help you

5 0
3 years ago
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