If f(x)= x^3 + 6x^2 - 9x + 14 and x-2 is a factor of f(x), then find all of the zeros of f(x) algebraically.

Answer:

5 feet long and 1 foot long and vise versa.

Step-by-step explanation:

Answer:

Your answer is $19.06

Step-by-step explanation:

You have to multiply the money by the decimal. In this case 14.55 by 31% (0.31 basically), and then add that to the original price.

Answer:

[tex]x = -12[/tex]

Step-by-step explanation:

Step 1:  Add 1/4x to both sides

[tex]-\frac{1}{4}x - 12 = x + 3[/tex]

[tex]-12 - \frac{1}{4}x + \frac{1}{4}x = x + 3 + \frac{1}{4}x[/tex]

[tex]-12 = \frac{5}{4}x + 3[/tex]

Step 2:  Subtract 3 from both sides

[tex]-12 - 3 = \frac{5}{4}x + 3 - 3[/tex]

[tex]-15 = \frac{5}{4}x[/tex]

Step 3:  Multiply both sides by 4/5

[tex]-15*\frac{4}{5}=\frac{5}{4}x * \frac{4}{5}[/tex]

[tex]-12 = x[/tex]

Answer:  [tex]x = -12[/tex]

Answer:

A. $1 less

Step-by-step explanation:

24 divided by 8 (unit rate) = $3

28 divided by 7 = $4

4-3=1

Answer:

y = 1.4x - 4.6

hope this helped :)

Answer:

tanA=28/45

Tan(A) =Y/X or Opposite/ Hypotenuse

Answer:

? = 13. 35

Step-by-step explanation:

By using Pythagorean Theorem

H² = P² + B ²

=> 17² = P² + 10²

=> 289 = P² + 100

=> 289 - 100 = P²

=> 189 = P²

=> √189 = P

or P = 13.75

Answer:

Simone is 16 and Olivia 12 years old.

Step-by-step explanation:

"Simone is four years older than her sister Olivia."

(1) Simone age = Olivia age + 4

"Their combined ages is 28."

(2) Simone age + Olivia age = 28

→ We can substitute from the first equation (1) Simone age with Olivia age + 4 into the second equation (2)

        Simone age + Olivia age = 28

      Olivia age + 4 + Olivia age = 28, subtract 4 from both sides

   Olivia age -4 +4 + Olivia age = 28 - 4

                            2· Olivia age  = 24 , divide both sides by 2

                               Olivia age = 24/2

                               Olivia age = 12 years old

→ From the first equation (1) we have:

Simone Age = Olivia age + 4 = 12 + 4 = 16 years old

Check our answer:

"Their combined ages is 28 "

12 + 16 = 28 ✅

The chance of on-time assignment submission if it is a chemistry assignment is insufficient data.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

The probabilities by subject of on-time assignment submission and on-time arrival to class.

Before we can estimate the likelihood of interest, we must first know how many assignments are assigned in each class.

In physics, there were 25.1% of the on-time assignments, assuming that each class had the same number of assignments.

Here, we have insufficient data to find the on time submission.

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Answer:

926.35

Step-by-step explanation:

first find 9.5% x $845.98

=$80.37

then add $845.98 to $80.37

= $926.35

Answer:

B,D, and E

Step-by-step explanation:

it's 15% so it would have to be either as a fraction or decimal answer B is a fraction. And D and E are both decimals so you add your percent to your p which is something.

The expressions A, D, and E represent the total cost of the meal and the tip.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The cost of the meal plus the tip is equal to the cost of the meal plus 15% of the cost of the meal. It can represent this in several ways:

A. 1.15p

D. p + 0.15p

E. p + 1.15p

All of these expressions represent the total cost of the meal and the tip.

Option B, 100P/15, does not represent the total cost of the meal and the tip.

Option C, p + 15, represents the cost of the meal plus a flat fee of 15 dollars, not 15% of the cost of the meal, so it does not represent the total cost of the meal and the tip.

Therefore, the correct answers are A, D, and E.

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Answer: 936

Step-by-step explanation:

36 x 4 = 144

$144 = 1 hour of work

so for 6 hours of work, you'd do 144 x 6 = 864

Since 30 minutes is 2 outta 4 quarters, then you'd do 36 x 2 which is 72

so 72 + 864 = 963

So 6 hours and 30 minutes would be $936

Hope this helps.

Answer:

  k = -1/2 or 2

Step-by-step explanation:

For equations ...

  ax +by +c = 0

  dx +ey +g = 0

Cramer's Rule tells you the solutions are ...

  x = (-ce +gb)/(ae -db)

  y = (-ga +dc)/(ae -db)

In order for these equations to be consistent, the solution for any pair of them must be the same. It is sufficient for us to find 'k' such that the values of x are the same.

__

first and third equations

  x = (-1·7 +1·(k+1))/(1·7 -3·(k+1)) = (k -6)/(4-3k)

second and third equations

  x = (3·7 +1·5)/(2k·7 -3·5) = 26/(14k -15)

__

For these values to be the same, we must have ...

  (k -6)/(4-3k) = x = 26/(14k -15)

  (k -6)(14k -15) = (4 -3k)(26) . . . . . cross multiply

  14k² -99k +90 = -78k +104 . . . . . simplify

  14k² -21k -14 = 0 . . . . . . . . . . . . . put in standard form

  7(2k +1)(k -2) = 0 . . . . . . . . factor

The solutions are the values of k that make the factors zero: k=2, k=-1/2.

These equations will be consistent if k = -1/2 or k = 2.

_____

Additional comment

Using our above expression for x, we can find the value of x for the solution x = -1/2 to be ...

  x = 26/(14(-1/2) -15) = 26/(-22) = -13/11

The first equation tells us the corresponding value of y will be ...

  x +(-1/2 +1)y +1 = 0

  y = -2(x+1) = -2(-13/11 +11/11) = 4/11

For k = -1/2, (x, y) = (-13/11, 4/11).

The attached graph shows the solution for k=2.

For k = 2, (x, y) = (2, -1).

Answer:

  y = e·x

Step-by-step explanation:

The equation of a line tangent to a curve at a point is conveniently written in the point-slope form. The slope is the derivative of the function at the point. For your function, the rules applicable to products and exponential functions apply.

__

  y = (e^x)(x^2 -2x +2

  y' = (e^x)(x^2 -2x +2) +(e^x)(2x -2) . . . . . (uv)' = u'v +uv', (e^x)' = e^x

  y' = (e^x)x^2 . . . . . simplify

For x=1, the slope is ...

  y' = (e^1)(1^2) = e

__

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -e = e(x -1) . . . . . . . line with slope 'e' through point (1, e)

  y = e·x -e +e . . . . . add e

  y = e·x . . . . . . . . . . equation of the tangent line

__

Additional comment

It is often the case that ex is written when e^x is intended. We are trying to avoid that ambiguity here by writing the equation with an explicit "times" symbol.

Answer:

[tex]csc(3\pi ), sec(\frac{-\pi}{2})[/tex]

The Undefined term is csc(3pi) and  sec(-pi/2) .

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

As, Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (pi) is 0, so the cosecant of pi must be undefined.

Thus, csc(3pi) is undefined

and, the value of The value of cos (pi/2) is 0, so the secant of (pi)/2 must be undefined.

Thus, sec(-pi/2) is also undefined.

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Answer:

2.8x - 7.56

Step-by-step explanation:

1.8(x-4.2) + x

= 1.8x - 1.8(4.2) + x

= 2.8x - 7.56

hope this helps!

Answer:

6 & 4

8 & 3

12 & 2

1 & 24

Step-by-step explanation:

Any pair of numbers whose product is 24

The number 24 multiplied by 10 results in 240

Hope this helps

Answer:

1/10 or 10%

Step-by-step explanation:

Probability of choosing one correct response: (2 correct options, 5 choices)

2/5

Once we've chosen one correct response, there are 4 options left, one of which is correct:

1/4

2/5 * 1/4 = 2/20 = 1/10

Hope this helps <3

Answer:

It is equally likely for 1, 2, 3, or all to be correct so probability is 1/4

Step-by-step explanation:

Toltal ways in which 2 options can be correct is (42), which is 6. Out of these only 1 is correct. So probability of selecting correct answer is 1/6. Since he has 5 chances the probability of getting marks is 1−(56)5. hope this helps if not let me know have a nice day

Step-by-step explanation:

A=2πr(r+h)

A=6.28×14mm(+29mm)

A=77.92(14mm+29mm)

A=77.92×43

A=3350.56 mm

Hope it helps

KC

Answer:

X=37.56

Step-by-step explanation:

Answer:

The Correct Answer is C.0.

Hope it hepls you Czn!

Please Mark me as Brainleast!!!!!!!!

Answer:

[tex]60 \%[/tex]

Step-by-step explanation:

Among the 15 cars ,only 9 cars with a fuel efficiency less than 32 mpg :

27,22,18,23 , 30 , 19,16,28,21

[tex]\text{the percentage} =\frac{9}{15} \times 100=60 \%[/tex]

Answer:

40 bottles

Step-by-step explanation:

6liters=6000ml so I do 6000/150=40.Therfore 40 bottle of 150ml can fill a bottle wth 6 literes

AND SORRY FOR BAD GRAMMAR BUT I HOPE IT HELPS!!

Answer:

13√2

Step-by-step explanation:

The square root of 338 is expressed as √338 in the radical form and as (338)½ or (338)0.5 in the exponent form. The square root of 338 rounded up to 5 decimal places is 18.38478. It is the positive solution of the equation x2 = 338. We can express the square root of 338 in its lowest radical form as 13 √2.

√338 = √13^2x2 = V13^2 x √2 = 13√2

13√2 = 13 x 239/169 = 239/13 = 18.385

Answer:

x = 6.40

Step-by-step explanation:

The formula to find the area of the rectangle is :

Area = Length × Width

Given that,

Area ⇒ 50

Length ⇒ ( 2x - 5 )

Width ⇒ x

So now we can write an expression like this.

Area = Length × Width

50  = x ( 2x - 5 )

And now we can solve for x.

Let us solve now by using the completing square method.

x ( 2x - 5 ) = 50

2x² - 5x = 50

First divide the whole equation by 2.

x² - 2.5 = 25

x² - 2.5 + 1.5625 = 25 + 1.5625

( x - 1.25 )² = 26.5625

x - 1.25 = ±√26.5625

x  - 1.25 = ±5.1538

So,

x = + 5.1538 + 1.25                           or        x = - 5.1538 + 1.25

x = 6.40                                                       x = -3.90

As we cannot get a negative number as a value for length,

x = 6.40