If f(x+5)=x^2+kx+30 what is K equalled to?

Answers

Answer 1
Answer: f(x+5) means for every x, it is x+5

ok so since it is 2nd degree, we do exponent
f(x)=x^2
f(x+5)=(x+5)^2=x^2+10x+25
we need 5 more
f(x)=x^2+5
f(x+5)=x^2+10x+25+5=x^2+10x+30
k=10
Answer 2
Answer: 9 = 2^2 - 2k - 3 9 = -2k + 4 - 3 9 - 4 + 3 = -2k 8 = -2k Divide by -2 k = -4

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Solve for y.
y – (–19) = 25
a. –44
b. –6
c. 6
d. 44

Answers

y - (-19) = 25

First, simplify your brackets. / Your problem should look like: y + 19 = 25
Second, subtract 19 from both sides. / Your problem should look like: y = 25 - 19
Third, subtract 25 - 19 to get 6. / Your problem should look like: y = 6

Answer: C) y = 6

-3/2 multiplied by 3?

Answers

Let's solve this step-by-step! :)

-(3/2) * 3 

= -(9/2)

I hope this helped!! :D
negative × positive= neg
so= 3/2×3
=9/2
=-4 and 1/2
=-4.5

2, 10, 50, 250, ...
Write a recursive formula for

Answers

Answer:

a_(n) = 5a_(n-1)

Step-by-step explanation:

The sequence has a common ratio r between consecutive terms, that is

r = 10 ÷ 2 = 50 ÷ 10 = 250 ÷ 50 = 5

Thus the sequence is geometric with recursive formula

a_(n) = 5a_(n-1)

A projectile is fired straight upward with an initial velocity of 400 feet per second. The height of the projectile, h(t), if represented by the function h(t)=-16t^2+400t, where t is the time in seconds. How long does it take the projectile to reach the maximum height?

Answers

Taking into account the definition of maximum, minimum and vertex of a quadratic function, it takes 12.5 seconds for the projectile to reach maximum height.

A quadratic function is defined in the form:

y= f (x) = ax² + bx + c

Every quadratic function has a maximum or a minimum, which is the vertex of the parabola. If the parabola has an upward concavity, the vertex corresponds to a minimum of the function; whereas if the parabola has concavity downwards, the vertex will be a maximum.

That is, if the coefficient a is positive the parabola is concave and the vertex will be a minimum of the function, while if a is negative the parabola will be convex and the vertex is a maximum.

The maximum or minimum is reached in xv=(-b)/(2a)  

The maximum or minimum value of y is obtained by evaluating the function at xv, this is, f (xv).

In this case, the function is:

h(t)= -16t² + 400t

where t is the time in seconds

Being a = -16 and b = 400, the value of a is negative, so the vertex will be the maximum.

You want to know the time it takes for the projectile to reach the maximum height, that is, the maximum in t. That is, you must calculate t using the expression: t=(-b)/(2a)

So: t=(-400)/(2x(-16))

Solving:

t=(-400)/(-32)

t= 12.5 seconds

It takes 12.5 seconds for the projectile to reach maximum height.

Learn more about cuadratic function with this examples:

Answer:

You can find the answer by using the formula x=-b/2a

Step-by-step explanation:

Remember the maximum height will be at the vertex. The x value of the vertex is your time, so use x=-b/2a. Then if it had also asked what the height was, you would plug that answer into your equation to find the y value of the vertex. Pretty sure your teacher is just asking you to find the x though:)

Find value 40% of 25 is what number?

Answers

40% from 25 is:

25 * 40% =
= 25 * 40/100 =
= 25 * 4/10 =
= 25 * 0,4 =
= 10

Another way is to find 1% of 25 and then multiply it by 40:

25 * 40% =
= (25 / 100) * 40 =
= 0,25 * 40 =
= 10

A bride wants to serve her 175 guests cheesecake instead of wedding cake. She purchases 14 cheesecakes that serve 12 people each. If each guest is served only one piece of cheesecake, how many guests will not get a piece?_________________ guests

Answers

seven guests will not get served

Your answer is 7 guests.

Hope this helps.