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3 years ago

The graph of f(x) is shown. Estimate f(–3).

Mathematics

1 answer:

Aneli [31]3 years ago

7 0

You have to look for -3 on the x axis, and then proceed vertically (in this case upwards) until you meet the graph.

We land about 1/2 square above the 12 mark on the y axis. Since one square is 1/2 unit, a half square would be 1/4 unit.

So, we can estimate $f(-3)\approx 12.25$

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Let T: set of real numbers R Superscript nℝnright arrow→set of real numbers R Superscript mℝm be a linear transformation, and

Klio2033 [76]

Answer:

$\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent set.

Step-by-step explanation:

Given: $\{v_1,v_2,v_3\}$ is a linearly dependent set in set of real numbers R

To show: the set $\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent.

Solution:

If $\{v_1,v_2,v_3,...,v_n\}$ is a set of linearly dependent vectors then there exists atleast one $k_i:i=1,2,3,...,n$ such that $k_1v_1+k_2v_2+k_3v_3+...+k_nv_n=0$

Consider $k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0$

A linear transformation T: U→V satisfies the following properties:

1. $T(u_1+u_2)=T(u_1)+T(u_2)$

2. $T(au)=aT(u)$

Here, $u,u_1,u_2$ ∈ U

As T is a linear transformation,

$k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0\\T(k_1v_1)+T(k_2v_2)+T(k_3v_3)=0\\T(k_1v_1+k_2v_2+k_3v_3)=0\\$

As $\{v_1,v_2,v_3\}$ is a linearly dependent set,

$k_1v_1+k_2v_2+k_3v_3=0$ for some $k_i\neq 0:i=1,2,3$

So, for some $k_i\neq 0:i=1,2,3$

$k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0$

Therefore, set $\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent.

6 0

3 years ago

Next, rearrange the expression in part B using the Commutative Property so the terms with the same place value are next to each

Hunter-Best [27]

Answer:

70 + 2 + 0.3 + (-30) + (-9) + (-0.1) = 70 + (-30) + 2 + (-9) + 0.3 + (-0.1)

Step-by-step explanation:

i dont have an explanation but that is the answer i can confirm because i did it and got it wrong but then it showed the right answer hope it helps you

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3 years ago

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Luka is eating crackers.each serving has 1.6 grams of fat.She ate 0.75 serving of crackers during lunch and is now eating 1.5 se

Ber [7]

3.6 is the answer youre looking for

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3 years ago

John bought 8 goats at 1040000.He sold these goats and made a profit of 15% on each goat.How much did he sell each goat?

Ugo [173]

Answer:

149500

Step-by-step explanation:

since there's 8 goats, each goat would be 1040000/8, which is 130000 per goat.

marketing at a 15% increase means the new percentage would be 115%, which could be represented by 1.15.

130000 * 1.15 = 149500 / goat

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3 years ago

Help Will Make Brainliest If Correct ..............................

Arte-miy333 [17]

Answer:

90,000,000

Step-by-step explanation:

3*10x10x10x10x10=300,000

3*10x10=300

300*300,000=90,000,000

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3 years ago