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Hunter-Best [27]
3 years ago
9

A system of equations consists of y = x3 + 5x + 1 and y = x. The equations are equal at approximately x = -0.25, -0.5, 0.5, 0.25

Mathematics
2 answers:
meriva3 years ago
6 0
Y = x^3 + 5x + 1
y = x

When they are equal
x^3 + 5x + 1 = x
x^3 + 4x + 1 = 0
x(x^2 + 4) = -1

-0.25((-0.25)^2 + 4) = -0.25(0.0625 + 4) = -1.02

Therefore, the equation is equal at approximately x = -0.25
Afina-wow [57]3 years ago
5 0

Answer:

x=-0.25

Step-by-step explanation:

we have

y=x^{3}+5x+1 -----> equation A

y=x -----> equation B

Using a graphing tool-----> to resolve the system of equations

Remember that the solution of the system of equations is equal to the intersection point both graphs

see the attached figure

the solution is x=-0.25

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Answer:

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Which formula represents this sequence 2,8,14...?
Vikentia [17]

Answer:

a_{n} = 6n - 4

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

8 - 2 = 14 - 8 = 6

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

a_{n} = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

Thus the formula representing the sequence is

a_{n} = 6n - 4

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3 years ago
Abdul is making a smoothie of 10 veggies. He has 12 to choose from. How many different smoothies can Abdul make?
Setler79 [48]

Answer:132 combinations

Step-by-step explanation:

6 0
2 years ago
I also need help with this one
icang [17]
It is c.

explanation:

20+130+h =180

when you solve you get h=50

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7 0
3 years ago
Read 2 more answers
The first three steps in writing f(x) = 40x 5x2 in vertex form are shown. write the function in standard form. f(x) = 5x2 40x fa
Mkey [24]

The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).

<h3>What is the parabola?</h3>

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The function f(x) = 5x² + 40x

Then add and subtract 80, then we have

f(x) = 5x² + 40x + 80 – 80

f(x) = 5(x² + 8x + 16) – 80

f(x) = 5(x + 4)² – 80

The vertex of the parabola will be at (–4, –80).

More about the parabola link is given below.

brainly.com/question/8495504

6 0
2 years ago
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