If f(x)=5x^0+4x^-3 then f(a)=?

Bezzdna [24]

Answer and Step-by-step explanation:

$Greetings!$

$Let's~answer~your~question!$

$First, ~let's~ work~ on ~the~ left~ hand ~side~ of ~your ~inequality,~ the~ 5(2h+8)~This\\ means,~ for~ instance, ~to ~see ~if ~it ~can~ be ~simplified ~at~ all.~Multiply~ h ~and~ 2$

$The~ answer~ is~ h$

$2\times h~ evaluates~ to~ 2h$

$2\times h+8 ~evaluates~ to~ 2h+8$

$Multiply ~5~ by~ 2h+8$

$we ~multiply~ 5~ by~ each ~term ~in~ 2h+8 ~term ~by~ term~and~we~use~distributive~\\property.$

$Multiply ~5 ~and~ 2h$

$5\times2h=10h$

$Multiply~ 5 ~and ~8$

$5 \times 8 = 40$

3 0

3 years ago

In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe

e-lub [12.9K]

<h3>Answer: 33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

===============================================

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

y = a(x-h)^2 + k

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

y = a(x-h)^2 + k

y = a(x-60)^2 + 30 .... plug in vertex

45 = a(0-60)^2 + 30 .... plug in y intercept coordinates

45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

y = a(x-h)^2 + k

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

y = 15/4 + 30

y = 15/4 + 120/4

y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

8 0

2 years ago

A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red

mamaluj [8]

Let red marbles = X.

The probability is 1 out of 5, written as 1/5

1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.

1/5 = x/5x

Now you have 5x total marbles, x red and 4x blue.

Add 5 more red and the new probability is:

(x+5)/(5x+5) = 1/3

Simplify:

3x+15 = 5x+5

Now solve for x:

Subtract 3x from both sides:

15 = 2x +5

Subtract 5 from each side:

2x = 10

Divide both sides by 2:

x = 10/2

X = 5

There were originally 5 red marbles.

5 0

3 years ago

I NEED HELPPP Whats the length of LN?

andre [41]

Answer:

LN = 66 cm

Step-by-step explanation:

The 3 parallel lines divide the 2 sides they intersect in proportion, that is

$\frac{DE}{EF}$ = $\frac{LM}{MN}$ , substitute values

$\frac{7}{15}$ = $\frac{LM}{45}$ ( cross- multiply )

15LM = 315 ( divide both sides by 15 )

LM = 21

Hence

LN = LM + MN = 21 + 45 = 66 cm

3 0

3 years ago

Find BC if AC = 13 and AB = 10

maxonik [38]

Answer:

BC=3

Step-by-step explanation:

We can solve this by eliminating given detail of A.

AC=13 , AB=10

To find BC, We minus AC With AB

BC= AC-AB

BC=3

3 Is the final answer

I hope this helps, dont hesitate to ask for any question.

Mark me as brainliest is appreciated.Tq!!

7 0

3 years ago