Find the value of a and the value of b

Answer:

  x = -3/2

Step-by-step explanation:

The removable discontinuity is at the value of x where a denominator factor cancels a numerator factor, and those factors are zero.

  [tex]p(x)=\dfrac{2x+3}{4x^2-9}=\dfrac{2x+3}{(2x+3)(2x-3)}=\dfrac{2x+3}{2x+3}\cdot\dfrac{1}{2x-3}\\\\p(x)=\dfrac{1}{2x-3}\qquad x\ne-3/2[/tex]

That cancellation occurs where 2x+3 = 0, at x=-3/2.

The function p(x) has a removable discontinuity when x = -3/2.

Answer:

9.254

Step-by-step explanation:

Move the decimal three times (how many zeros of 1000 there is)

Its an obtuse triangle because one of the angle n is 98 degrees

Answer:

Obtuse Triangle

Step-by-step explanation:

First we have to find the measure of all the angles. We know that the sum of all angles in a triangles is 180 degrees.

So we add 35 and 47 which is 82 degrees.

Then we subtract 82 from 180 which is 98 degrees. Now we know that angle N is 82 degrees.

We can go ahead eliminate answer choices acute equiangular triangle (that only applies if all angles are 60 degrees) and right triangle (must have a right angle which is 90 degrees).

That now leaves us with acute and obtuse triangle. An acute triangle has angles that are less that 90 degrees. So that only leaves us with the answer choice obtuse triangle, because it has an angle of 98 degrees which is an obtuse angle.

So your answer is Obtuse Triangle.

Answer:

w = 6

Step-by-step explanation:

Distribute the 3 first

7w - 6 = 3w + 18

Combine like terms

4w = 24

Divide by 4 to isolate w

so w = 6

Answer:

Step-by-step explanation:

Apply the distributive property to the right side of the equation. 3(w+6). Then, begin to simplify the equation. W=6

Answer:  The function that models the distance they drive is

f(x) = 50x + 20 where x is the time in hours

reasonable domain:  0 ≤ x ≤ 3

Step-by-step explanation:

examples:

95 = 50(1.5) + 20 After driving another hour and a half, they will have driven a total of 95 miles.

120 = 50(2) + 20  This means that after 2 more hours they will reach their destination.

There is a little ambiguity in the question. The function could be written as if they are starting out.  f(x) = 50t  

20 = 50(.4)  At 50 mph it took .4 hours to go 20 miles.

120 = 5(2.4)  The whole trip took 2.4 hours.

Answer: Choice B

(x-1)(x^3+x^2+5x+6)

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

Explanation:

The 1 in the upper left box means that x = 1 is a root of the original polynomial.

So this means x-1 is a factor of the original polynomial.

This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.

-----------------

The 0 in the last position of the bottom row shows we got a remainder of 0.

Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.

The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6

-------------------

So we know that (x-1) and (x^3+x^2+5x+6) are factors

Meaning that,

x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)

You can confirm this by expanding out the right hand side (distribution rule).

Answer:

Step-by-step explanation:

distributive property

-8 + 2x = 12x - 3

add 3 to both sides

-5 + 2x = 12x

subtract 2x from both sides

-5 = 10x

divide by 10 for both sides

-5/10 = x

-0.5 = x

actually it's -1/2 or -0.5

Answer:

sometimes

Step-by-step explanation:

Answer:

always

Step-by-step explanation:

Answer:

No it is irrational number.

Step-by-step explanation:

because 2pie cannot be expressed as a quotient of interger.

Answer: if your looking for an answer it’s c= 12.57

Step-by-step explanation:

Answer:

1/9(x+4)

Step-by-step explanation:

Same as the first one

Answer:

280 square feet can be painted with .8 gallons and (280 / .8) or 350 square feet can be painted with 1 gallon and with 3 gallons you could paint 1,050 square feet.

Step-by-step explanation:

Answer:

the answer is B

Answer:

Angle 8

Step-by-step explanation:

Supplementary angles are angles that are equal to 180 degrees.

Answer:

Step-by-step explanation:

1) 9 is 10 times the value of 9 in 329,513

2) 2 is 1/10 the value of 2 in 7,562

3) 6 is 1/10 the value of 6 In 4.68

Sum of the three above:

The answer option containing the above number is:

Answer:

5

Step-by-step explanation:

Answer:

12 movies

Step-by-step explanation:

Let the number of movies they see be represented by x

Jaycie has a VIP membership to a movie theater, so she pays 27 dollars a year and 6.00 for each movie she sees.

$27 + $6 × x

= 27 + 6x

Claire doesn't have a membership, so she pays 8.25 for each movie she sees.

= $8.25 × x

= 8.25x

How many movies would they have to see in a year in order to pay the same amount?

Jaycie = Claire

27 + 6x = 8.25x

27 = 8.25x - 6x

27 = 2.25x

x = 27/2.25

x = 12 movies

Therefore, they have to see 12 movies in a year in order to pay the same amount.

Answer:

[tex]\displaystyle y=-\frac{1}{5}x+\frac{17}{5}[/tex]

Step-by-step explanation:

Equation of a line

A line can be represented by an equation of the form

[tex]y=mx+b[/tex]

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

[tex]m_1.m_2=-1[/tex]

The given line has a slope m1=5, thus the slope of our required line is:

[tex]\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}[/tex]

The equation of the line now can be expressed as:

[tex]\displaystyle y=-\frac{1}{5}x+b[/tex]

We need to find the value of b, which can be done by using the point (7,2):

[tex]\displaystyle 2=-\frac{1}{5}*7+b[/tex]

Operating:

[tex]\displaystyle 2=-\frac{7}{5}+b[/tex]

Multiplying by 5:

[tex]10=-7+5b[/tex]

Operating:

[tex]10+7=5b[/tex]

Solving for b:

[tex]\displaystyle b=\frac{17}{5}[/tex]

The equation of the line is:

[tex]\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}[/tex]

Answer:

One sixth (1/6)

Step-by-step explanation:

Answer:

[tex] \sqrt{f {}^{2} } = \sqrt{ \frac{9}{49} } [/tex]

[tex]f = \frac{ \sqrt{9} }{ \sqrt{49} } [/tex]

[tex]f = \frac{3}{7} [/tex] or -3/7

Answer:

[tex]f=-\frac{3}{7},\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]f^2=\frac{9}{49}[/tex]

Square root both sides of the equation:

[tex]\sqrt{f^2} =\sqrt{\frac{9}{49} }[/tex]

The square root of [tex]f^2[/tex] is [tex]f[/tex], so let's rewrite the equation:

[tex]f=\sqrt{\frac{9}{49} }[/tex]

Now, we can make this easier on ourselves by noticing that both the numerator and denominator of the fraction are square numbers, so rewrite the equation:

[tex]f=\frac{\sqrt{9} }{\sqrt{49}}[/tex]

Find the square root of 9 (-3 & 3), and the square root of 49 (-7 & 7). Due to the possibility of the positive or negative solution, there will be two:

[tex]f=-\frac{3}{7} ,\frac{3}{7}[/tex]

root(10)+4

......

you cant simplify it

Answer:

Sue was the tallest.

Step-by-step explanation:

Sally = 65 3/4 --> 65 6/8

Joe = 65 1/2 --> 65 4/8

Answer:

x- intercept = - 16, y- intercept = 8

Step-by-step explanation:

Given

3x - 6y = - 48

To find the x- intercept, let y = 0 in the equation and solve for x

3x - 6(0) = - 48 , that is

3x - 0 = - 48 ( divide both sides by 3 )

x = - 16 ← x- intercept or (- 16, 0 )

To find the y- intercept, let x = 0 in the equation and solve for y

3(0) - 6y = - 48 , that is

0 - 6y = - 48 ( divide both sides by - 6 )

y = 8 ← y- intercept or (0, 8 )

Answer:

Y= 8X + 4

Step-by-step explanation:

Answer:

a=7

b=31

c=28

d=13

e=65

Step-by-step explanation:

this is the right answer.

Answer:

a=7

b=31

c=28

d=13

e=65

Step-by-step explanation:

Answer:

598.50

Step-by-step explanation:

Multiply the percent by the price then add that number to the price.

I added 38.50 in taxes to the price of the TV

The total cost of the TV will be $598.50 including the sales tax of 6.875%.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that in Minnesota, the state sales tax rate is 6.875%. The price tag on an HDTV gives the price as $560,

The total cost will be calculated as,

Cost = 560 x 1.06875

Cost = 598.5

Hence, the total cost will be $598.50.

To know more about an expression follow

https://brainly.com/question/20879845

#SPJ2

Answer:

no

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

25

(5)² = 25 OR √25 = 5