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Maksim231197 [3]
3 years ago
11

What is the x-intercept of the group of the function f(x) =x2 -16x + 64

Mathematics
1 answer:
Dimas [21]3 years ago
3 0

The x-intercept of a function is basically it's roots. So when you factor out the function f(x) = x^2 - 16x + 64 you get

(x-8)(x-8)

x = 8

So x-int. is (0,8) or x = 8

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−5y+8x=−18<br> 5y+2x=58 <br> Solve the system of equations.<br> ​
kvasek [131]

Answer:

1:   −5y+8x=−18  

Slope = 3.200/2.000 = 1.600

 x-intercept = -18/8 = -9/4 = -2.25000

 y-intercept = 18/5 = 3.60000

2:   Slope = -0.800/2.000 = -0.400

 x-intercept = 58/2 = 29

 y-intercept = 58/5 = 11.60000

Step-by-step explanation:

1: Step  1  :

Equation of a Straight Line

1.1     Solve   -5y+8x+18  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -5y+8x+18  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 18/5 so this line "cuts" the y axis at y= 3.60000

 y-intercept = 18/5  =  3.60000  

Calculate the X-Intercept :

When y = 0 the value of x is -9/4 Our line therefore "cuts" the x axis at x=-2.25000

 x-intercept = -18/8 = -9/4  = -2.25000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.600 and for x=2.000, the value of y is 6.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.800 - 3.600 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

2: Same thing

8 0
3 years ago
The longest side of a triangle is 8 cm longer than the shortest side and 5 cm longer than
MA_775_DIABLO [31]
It is 13 I think hopefully this the right answer hope I helped you
4 0
3 years ago
Kim takes her 7 children to the carnival. If she buys 30 tickets for them, which of the following best describes how many ticket
galben [10]
210 (idk maybe since I think this is multiplication)
7 0
3 years ago
This glass is 5 in tall and 2.5 inches
Finger [1]

The cubic inches left is 20.05 cubic inches.

<h3 /><h3>Description of the glass </h3>

A glass has the shape of a cylinder. In order to determine which glass is left, the volume of the glass has to be determined. Then what is drank would be subtracted from the volume of the glass.

<h3>Volume of the cylinder. </h3>

Volume of a cylinder = nr^2h

  • n = 22/7
  • r = radius= 2.5 / 2 = 1.25

22/7 x 1.25^2 x 5 = 24.55 cubic inches

<h3>Determination of what is left </h3>

24.55 - 4.5 = 20.05 cubic inches

To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219

7 0
2 years ago
The HCF and LCM OF TWO NUMBERS ARE 6 AND 360 RESPECTIVELY.IF ONE OF THE NUMBERS IS 24, WHAT IS OTHER NUMBER
otez555 [7]

Step-by-step explanation:

we know that=

other number=LCM×HCF\One number

=6×360 upon 24

=90

6 0
3 years ago
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