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3 years ago

Choose the correct graph of the function y=x^3+1

Mathematics

2 answers:

AfilCa [17]3 years ago

7 0

Answer:

the graph is on the photo

masya89 [10]3 years ago

4 0

Answer:

Step-by-step explanation:

The function y = x3 + 1 is a cubic function of the form y = ax³ + d, where "a" is the main coefficient; while "d" is the independent term. The value of "a" indicates whether the graph is "wider" or "thinner". Also the positive or negative sign of "a" will indicate how the curve will be. This is shown in one of the attached images.

The constant "d" in the equation is the intercept in "y" of the graph. In this case the value of "d" is 1, indicating that in 1 the curve crosses the axis "y".

Taking into account what was previously stated, it is possible to determine the function curve. It is possible to see that it intersects the "x" axis at -1. To obtain this value analytically simply replace "y" with the zero value y, by isolating the value of "x", it is possible to obtain that value.

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Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, proj,u

11Alexandr11 [23.1K]

Answer:

Take $b = \frac{-17}{25}(7,1)$ as the projection of u onto v and $w \frac{1}{25}(-31,217)$ as the vector such that b+w =u

Step-by-step explanation:

The formula of projection of a vector u onto a vector v is given by

$\frac{u\cdot v}{v\cdot v}v$ , where $cdot$ is the dot product between vectors.

First, let b ve the projection of u onto v. Then

$b = \frac{u\cdot v}{v\cdot v}v= \frac{-6\cdot 7+8\cdot 1}{7\cdot 7+1\cdot 1}(7,1) = \frac{-34}{50}(7,1) = \frac{-17}{25}(7,1)$

We want a vector w, that is orthogonal to b and that b+w = u. From this equation we have that w = u-b = (-6,8)-\frac{-17}{25}(7,1)= \frac{1}{25}(-31,217)[/tex]

By construction, we have that w+b=u. We need to check that they are orthogonal. To do so, the dot product between w and b must be zero. Recall that if we have vectors a,b that are orthogonal then for every non-zero escalar r,k the vector ra and kb are also orthogonal. Then, we can check if w and b are orthogonal by checking if the vectors (7,1) and (-31, 217) are orthogonal.

We have that $(7,1)\cdot(-31,217) = 7\cdot -31 + 217 \cdot 1 = -217+217 =0$ . Then this vectors are orthogonal, and thus, w and b are orthogonal.

5 0

3 years ago

A gardener needs to pack 16 lbs of beans into 20 bags. he wants all the bags to weigh about the same. about how much will each b

Liula [17]

16/20 = 0.8

Each bag will have to weight 0.8 lbs

3 0

3 years ago

Determine whether the statement is true or false. If it is false, rewrite it as a true statement. If you decide to reject the n

Tems11 [23]

Answer:

Step-by-step explanation:

When testing hypothesis to make a conclusion, you must find sufficient evident to reject the null hypothesis in favor of the alternative hypothesis. The null hypothesis must fail in order to accept the alternative. Failing to reject is not enough information. Since this is the case then options C and D are false statements and cannot be true. Both state that if you reject the null then the alternative is false or can't be supported. The opposite is true. Option A is also false since you cannot accept the null. You can only fail to reject it. If this is true then the alternative certainly cannot be accepted. Option B must be correct and the statement (thought not listed here) must be true.

A. This statement is false. A true statement is, "If you decide to accept the null hypothesis, then you can support the alternative hypothesis."

B. This statement is true.

C. This statement is false. A true statement is, "If you decide to reject the null hypothesis, then you can't support the alternative hypothesis."

D. This statement is false. A true statement is, "If you decide to reject the null hypothesis, then you can assume the alternative hypothesis is false."

5 0

3 years ago

Read 2 more answers

The ratio ½ is in simplest form.> true or false

masha68 [24]

True, you can't simplify 1/2 any further

8 0

3 years ago

Read 2 more answers

2. If f(x) = x - 7 and g(x) = 2x + 5, then what is f(x) * g(x)?

AysviL [449]

Answer:

2x² - 9x - 35

Step-by-step explanation:

f(x) × g(x) = (x - 7)(2x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(2x + 5) - 7(2x + 5) ← distribute both parenthesis

= 2x² + 5x - 14x - 35 ← collect like terms

= 2x² - 9x - 35

7 0

3 years ago

Choose the correct graph of the function y=x^3+1​

Choose the correct graph of the function y=x^3+1