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3 years ago

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find H(x + a) - H(x).

1 answer:

4 0

<span>In your question that ask what is the slope of the linear equations that is given on you table that represents the boiling point of a water . To get or to calculate the X and Y or to formula on getting the slope of the linear equation by using the X ang Y. So the slope is -1.8</span>

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Show that if S1 and S2 are subsets of a vector space V such that S1 c S2 then span(S1) c span(S2). In particular, if S1 c S2 the

klemol [59]

Answer:

See proof below

Step-by-step explanation:

Assume that V is a vector space over the field F (take F=R,C if you prefer).

Let $x\in span(S_1)$ . Then, we can write x as a linear combination of elements of s1, that is, there exist $v_1,v_2,\cdots,v_k \in S_1$ and $a_1,a_2,\cdots,a_k\in F$ such that $x=a_1v_1+a_2v_2+\cdots+a_kv_k$ . Now, $S_1\subseteq S_2$ then for all $y\in S_1$ we have that $y\in S_2$ . In particular, taking $y=v_j$ with $j=1,2,\cdots,k$ we have that $v_j\in S_2$ . Then, x is a linear combination of vectors in S2, therefore $x\in span(S_2)$ . We conclude that $span(S_1)\subseteq span(S_2)$ .

If, additionally $S_2\subseteq S_1$ then reversing the roles of S1 and S2 in the previous proof, $span(S_2)\subseteq span(S_1)$ . Then $span(S_1)\subseteq span(S_2)\subseteq span(S_1)$ , therefore $span(S_1)=span(S_2)$ .

5 0

3 years ago

When you spend $1 at the grocery store, the store doesn’t keep all of your money as profit. Some of it is reinvested in the econ

Salsk061 [2.6K]

The total economic impact of the factory’s initial investment is the sum of all the investments and reinvestments over the months.
Part D: What is the total economic impact after the first four months?

6 0

4 years ago

It takes 0.250.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.505.50 cups of sugar. How many batches of coo

RSB [31]

Answer:

a) 22 batches

c) 7.3 batches

Step-by-step explanation:

a) It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?

0.25 cup = 1 batch

5.5 cup = x

Cross Multiply

0.25 cup × x = 5.5 cup × 1 batch

x = 5.5 cup × 1 batch/0.25 cup

x = 22

I can make 22 batches of chocolate chip cookies. You may use the scratchpad to show your work.

(b) Lemon Cookies It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?

0.75 cup = 1 batch

5.5 cup = x

Cross Multiply

0.75 cup × x = 5.5 cup × 1 batch

x = 5.5 cup × 1 batch/0.75 cup

x = 7.3 batches

I can make 7.3 batches of lemon cookies. You may use the scratchpad to show your work.

4 0

3 years ago

What is the maximum value of h(t)=−16t^2+32t+64

lapo4ka [179]

Answer:

Step-by-step explanation:

h(t)=-16t²+32t+64

=-16(t²-2t)+64

=-16(t²-2t+1-1)+64

=-16(t-1)²+16+64

=-16(t-1)²+80

maximum value=80 and is obtained at t=1

6 0

3 years ago

Indicate the most appropriate if-then statement that the english sentence represents: people 18 or older can vote in a federal e

Anna35 [415]

The most appropriate if-then statement that the english sentence represents is: B. If a person is 18 years old or older, then the person can vote in Federal elections.

What is Federal Election?

Federal election can be defined as the way in which a person vote for a preferred.

For a person to be eligible to vote during election, such person must be 18 years old or older.

The if -then statement is: If a person is 18 years old or older, then the person can vote in Federal elections.

Therefore the correct option is B.

Learn more about federal election here:brainly.com/question/13474496

#SPJ1

7 0

2 years ago