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Mademuasel [1]
2 years ago
15

F(x)= x^2 -16x+63 find the x-intercepts of this function

Mathematics
2 answers:
Ahat [919]2 years ago
8 0

Answer:

The x-intercepts will be, x= 7 or x =9

Step-by-step explanation:

f(x)= x^2 -16x+63

At the x-intercept, f(x) is zero.

Therefore;

x² - 16x + 63 = 0

solving it quadratically;

product = 63

Sum       = -16

x² - 9x - 7x + 63 = 0

x(x-9) - 7( x-9) = 0

(x-7) (x-9) = 0

x = 7 or x = 9

Therefore;

The x-intercepts will be, x= 7 or x =9

Grace [21]2 years ago
3 0

Answer:

(7, 0) and (9, 0)

Step-by-step explanation:

The x-intercepts refers to the points where the graph of the function crosses the x-axis, or simply the zeroes of the function. In this case, we can determine these points analytically or graphically. We simply graph the function;

y = x^2 -16x +63 then determine where the function crosses the x-axis; see the attachment below;

The x-intercepts of this function are;

(7, 0) and (9, 0)

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What is the value of -44
garik1379 [7]
Hi friend!


I presume you mean "What is the absolute value of -44!

Well an absolute value is always positive. So the absolute value of -44 is 44!


Hope I helped!


If not, tell me more clearly what you need!
4 0
3 years ago
Read 2 more answers
Jack is 13 years younger than his older brother, Tyler. Their Dad is twice Tyler's age. The sum of their ages now is 91. Find Ja
grin007 [14]

Answer:

13 years old

Step-by-step explanation:

So to solve this we use a system of equations. Let's use "j" to represent Jack, "t" to represent Tyler, and "d" to represent the dad. Set the system up and it will look something like this:

j = t - 13 (Jack is 13 years younger than Tyler)

d = 2t (Dad is twice Tyler's age)

d + j + t = 91 (The sum of the ages is 91)

And then solve, I solved by isolating the "j" variable on the last equation, giving us j = 91 - t - d, then plugged that into the first equation, giving us 91 - t - d = t - 13, and got d = 104 - 2t. Then I plug that into d = 2t, giving us 104 - 2t = 2t, and solve for t. T is 26, meaning Tyler is 26 years old, and then I just subtract 13 from that, giving us 13 years old.

And finally, I obviously checked my answer, because now we know dad is 52, and I got 91.

5 0
2 years ago
If two sides of a triangle are 10 units and 13 units,a possible third side for the could be?
IrinaK [193]

Pythagorean theorem:

a^2+b^2=c^2

substitute:

10^2+13^2=c^2

simplify:

100+169=c^2

simplify:

269=c^2

take the square root:

c=16.4

The answer is 16.4

5 0
3 years ago
dawn had 1/5 gallon of juice to divide evenly between 2 friends.How much juice should each friend receive?
Zepler [3.9K]

Answer:

7.5 if 1/5 is 15. if not, its 0.6

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
25 points!
Brut [27]

Answer:

x = 4

Step-by-step explanation:

The steps we need to take:

1. Simplify left side.

2. Separate the variable and its coefficient from constants

3. Divide both sides by the coefficient to find "x

1) Simplify left side.

5(3x - 4) + 12 = 52

15x - 20 + 12 = 52

15x - 8 = 52

2) Separate the variable and its coefficient from constants by adding 8 to both sides.

15x - 8 + 8 = 52 + 8

15x = 60

3) Divide both sides by the coefficient to find x. (the coefficient is the number that comes before the variable)

15x / 15 = 60 / 15

x = 4

6 0
2 years ago
Read 2 more answers
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