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3 years ago

What is the factor of y = 4x2 +2x -30

1 answer:

5 0

What are the factors of y=4x^2 + 2x - 30?

First, divide 2 out of this expression. y = 2(2x^2 + x - 30)

One way to factor this would be to find the roots using the quadratic formula:

Since a=2, b=1 and c= -15,
-1 plus or minus sqrt(1^2-4(2)(-15)
x = -------------------------------------------------
4
-1 plus or minus sqrt(121) -1 plus or minus 11
= -------------------------------------- = ----------------------------
4 4

One such solution is -12/4, or -3. The corresponding factor is (x+3), and the other is 5/2, leading to the factor (2x-5).

Therefore, 4x^2 + 2x - 30 = y = 2(2x-5)(x+3).

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B = 54°, b=15, c= c = ? (Round answers to the nearest hundredth.)

zaharov [31]

Answer:

18.54

Step-by-step explanation:

sine is opposite/hypotenuse, and you have opposite (b=15), so use that

sin(54) = 15/c

c = 15/sin54

then use calculator

c = 18.54

8 0

2 years ago

What is the answer too -4x+3=3-4x

ser-zykov [4K]

Answer: The answer is 0

6 0

3 years ago

Read 2 more answers

The functions f and g are graphed in the same rectangular coordinate system, shown to the right. If g is obtained from f through

german

The first thing we notice is that the function is reflected. So we can start by reflecting it with respect to the x-axis.

We do this by adding a negative sign in the function:

$\begin{gathered} f_0(x)=x^2 \\ f_1(x)=-f_0(x)=-x^2 \end{gathered}$

Now, we have the function reflected, but in the wrong position. We can track its position by the vertex. It was originally at (0,0) and remains at (0,0) after the reflection.

But the final function have its vertex at (-5,0), so we have to translate the function 5 units to the left. we do this by adding 5 to the x in the function:

$f_2(x)=f_1(x+5)=-(x+5)^2$

Now, to check if there isn't any dilatation, we can check on other point in the graph to see if it checks out.

In the blue graph, we see the point (-3,-4), so let's input x = -3 and see if it checks out:

$f_2(-3)=-(-3+5)^2=-(2)^2=-4$

We got y = -4, so it checks out.

Thus, the answer is:

$g(x)=-(x+5)^2$

3 0

1 year ago

For U.S. adult males, the mean height is 174 cm with a standard deviation of 5 cm and the mean weight is 86 kg with a standard d

Genrish500 [490]

Answer:

The answer is

Height and weight have the same degree of variation

3 0

2 years ago

Read 2 more answers

If S is countable and nonempty, prove their exist a surjection g: N --> S

aleksley [76]

Answer with Step-by-step explanation:

We are given S be any set which is countable and nonempty.

We have to prove that their exist a surjection g:N $\rightarrow S$

Surjection: It is also called onto function .When cardinality of domain set is greater than or equal to cardinality of range set then the function is onto

Cardinality of natural numbers set = $\chi_0$ ( Aleph naught)

There are two cases

1.S is finite nonempty set

2.S is countably infinite set

1.When S is finite set and nonempty set

Then cardinality of set S is any constant number which is less than the cardinality of set of natura number

Therefore, their exist a surjection from N to S.

2.When S is countably infinite set and cardinality with aleph naught

Then cardinality of set S is equal to cardinality of set of natural .Therefore, their exist a surjection from N to S.

Hence, proved

8 0

3 years ago