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3 years ago

If p − 1 is a factor of p4 + p2 + p − k, the value of k is

2 answers:

8 0

It's says p-1 is factor to the equation, so that means when
p=1, the remeinder of the equation is zero. Mening:

p4 + p2 + p - k = 0

plug p=1 into the equation and find k

1^4 + 1^2 + 1 - k = 0
1 + 1 + 1 - k = 0
k = 3

11Alexandr11 [23.1K]3 years ago

7 0

Answer:

k=3

Step-by-step explanation:

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Which whole number is located closest to 22 −−−√ ???? A. 4 B. 22 C. 5 D. 25

Lana71 [14]

The whole number closest to √22 is 5.

The square root of 22 is:

= √22

= 4.69

The whole number that it is closest to will depend on the first decimal point.

If it is 5 or above then it will be closest to 5.

If it is 4 and below, then it is closest to 4.

The first decimal point is 6 so √22 is closer to 5.

In conclusion, the square root of 22 is closer to 5.

Find out more at brainly.com/question/3409224.

8 0

2 years ago

Hector puts together two tables to make a long table for a class picnic.

lys-0071 [83]

Answer: 14 feet 4 inches

Step-by-step explanation:

Given: The length of the first table = 7 feet 7 inches

The length of the second table = 6 feet 9 inches

The total length of two tables = 7 feet 7 inches + 6 feet 9 inches

= (7+6) feet (7+9) inches

=13 feet 16 inches

Since 1 feet = 12 inches

The total length of two tables = 13 feet+ (12 inches +4 inches)

=13 feet +( 1 feet +4 inches)

= 14 feet 4 inches

Hence, the total length of the two tables = 14 feet 4 inches

7 0

3 years ago

What is the value of the x variable in the solution to the following system of equations?

defon

ANSWER

The correct answer is C $x=3$ .

EXPLANATION

We have

$4x+2y=12---(1)$

and

$x-y=3---(2)$ .

We solve the two equation simultaneously by elimination method. We need to be smart and eliminate y, since we are looking for $x$ .

We first multiply equation (2) by 2

$2x-2y=6---(3)$ .

We add equation (3) and (1).

$\Rightarrow 6x=18$ .

Dividing through by 6 gives

$x=3$ .

7 0

3 years ago

Find the area please

tatuchka [14]

Answer:

Step-by-step explanation:

Recall that the area of a triangle is given by:

$\displaystyle A = \frac{1}{2} bh$

In this case, the base is x and the height is y. Hence:

$\displaystyle A = \frac{1}{2} xy$

We can write the following ratios:

$\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}$

Solve for x and y:

$\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha$

Substitute:

$\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)$

And simplify. Hence:

$\displaystyle A = 72\sin \alpha \cos\alpha$

In conclusion, our answer is D.

6 0

3 years ago

What can you say about the y-values of the two functions f(x)=-5^x +2 and g(x)=-5x^2+2?

Kryger [21]

Answer:

B) The maximum y-value of f(x) approaches 2

C) g(x) has the largest possible y-value

Step-by-step explanation:

f(x)=-5^x+2

f(x) is an exponential function.

Lim x→∞ f(x) = Lim x→∞ (-5^x+2) = -5^(∞)+2 = -∞+2→ Lim x→∞ f(x) = -∞

Lim x→ -∞ f(x) = Lim x→ -∞ (-5^x+2) = -5^(-∞)+2 = -1/5^∞+2 = -1/∞+2 = 0+2→

Lim x→ -∞ f(x) = 2

Then the maximun y-value of f(x) approaches 2

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

g(x) is a quadratic function. The graph is a parabola

g(x)=ax^2+bx+c

a=-5<0, the parabola opens downward and has a maximum value at

x=-b/(2a)

b=0

c=2

x=-0/2(-5)

x=0/10

x=0

The maximum value is at x=0:

g(0)=-5(0)^2+2=-5(0)+2=0+2→g(0)=2

The maximum value of g(x) is 2

7 0

4 years ago