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Bess [88]
3 years ago
8

If (x-2) is a factor of x^3+kx^2 +12x-8 then k=?

Mathematics
1 answer:
AURORKA [14]3 years ago
5 0

Answer:

k = - 6

Step-by-step explanation:

Since (x - 2) is a factor then x = 2 is a root

Substitute x = 2 into the polynomial and equate to zero, that is

2³ + k(2)² + 12(2) - 8 = 0

8 + 4k + 24 - 8 = 0

4k + 24 = 0 ( subtract 24 from both sides )

4k = - 24 ( divide both sides by 4 )

k = - 6

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Texas University Quarterback, Michael Daniels, is standing on his own 10-yard line. He throws a pass tword the opposite goal lin
dimulka [17.4K]

Answer: The function is y=-\frac{28}{625}(x-35)^2+30.

Explanation:

It is given that Michael Daniels, is standing on his own 10-yard line. He throws a pass toward the opposite goal line. The football is 2 yards above the ground when the quarterback lets it go.

It follows a parabolic path. Reaching its highest point, 30 yards above the ground. It is caught 50 yards downfield at a point 2 yards above the ground.

So, the initial point is (10,2) and the other point is (60,2).

The height function of a football represents a downward parabola. The maximum point of the function is called vertex. So the vertex is (h,30).

The two point (10,2) and (60,2) have same y-coordinate, therefore the function is maximum at the midpoint of both points.

midpoint=(\frac{10+60}{2}, \frac{2+2}{2})=(35,2)

So, the function is maximum at x=35. Hence the vertex is (35,30)

The standard form of the parabola is,

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

Where (h,k) is vertex and a is scale factor.

Since vertex is (35,30).

y=a(x-35)^2+30

The initial point is (10,2).

2=a(10-35)^2+30

-28=625a

a=-\frac{28}{625}

So the function of height is.

y=-\frac{28}{625}(x-35)^2+30

The graph of the function is shown below.

3 0
3 years ago
Write an expression to represent:<br> Nine less than the quotient of two and a number z.
Nina [5.8K]

Answer:

2 / z - 9

Step-by-step explanation:

Don't worry division always goes before subtraction so you don't need any parenthesis.

Tell me if I'm wrong :)

8 0
3 years ago
What is the sum of 1-2 and V-18?<br> †<br> O42<br> O 421<br> O 52<br> 05/21
frutty [35]

Answer:

B) 421

Step-by-step explanation:

√2 + √-18

√2 + √9·-2

√2 + 3√-2  

(3 +1 )(√2 ·√-2) = 2i

4 · 2i

3 0
3 years ago
Can someone help me please
jenyasd209 [6]

<u>Answer:</u>

Multiply \frac { 3 } { 4 } by 8.

<u>Step-by-step explanation:</u>

We are given the following expression and we are to find its quotient:

\frac { 3 } { 4 } ÷ \frac { 1 } { 8 }

This can also be written as:

\frac{\frac{3}{4}}{\frac{1}{8} }

Since the two fractions are being divided so to change this division sign into a multiplication sign, we will take the reciprocal of the fraction in the denominator and multiply 3/4 by 8.

\frac{3}{4} \times 8 = 6

3 0
3 years ago
Read 2 more answers
C.126<br> D.115<br> Geometry math question no Guessing and Please show work
MakcuM [25]

140 - 90 = 50

50/140 = 45/FE

FE = 140 * 45 / 50

FE = 126

Answer

C.126

4 0
3 years ago
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