What are the zeros of this function?
g(x) = 2(x + 2)(x - 9)
The zeros of function g are located at
and

Answer:

A. Another way to write g(h(x)) is (g×h)(x)

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Answer:

The third graph

Step-by-step explanation:

The third graph depicts the function f(x) = -1/2x because for every 1 unit decrease along the y-axis, you travel 2 units on the x-axis.

Also, the two points on the third graph can satisfy the equation.

Point 1: (-2,1)

f(-2) = (-1/2)(-2)

f(-2) = 1

Point 2: (0,0)

f(0) = (-1/2)(0)

f(0) = 0

Answer:

a. 2.25 km

Step-by-step explanation:

the scale on a map means how many units in the mapp corresponds to how many units in reality.

in this case

1 cm on the map = 75000 cm in reality =

= 75000/100 m = 750 m =

= 750/1000 km = 0.75 km

3 cm = 3×1 cm = 3 × 0.75 km = 2.25 km

Answer:

  -1/2

Step-by-step explanation:

Zeros of a polynomial function are its x-intercepts, the values of x that make the polynomial zero. Each zero x=p corresponds to a linear factor (x-p) of the polynomial.

A monic polynomial is one that has a leading coefficient of 1. For a monic polynomial of degree n, the coefficient of the term of degree n-1 is the opposite of the sum of all of the zeros. The constant term of any odd-degree monic polynomial is the opposite of the product of the zeros.

The given polynomial can be made monic by dividing by its leading coefficient:

  (2x^3 -x^2 -5x -2)/2 = x^3 -(1/2)x^2 -(5/2)x -1

The given polynomial has degree 3, so we're interested in the coefficient of the x^2 term. That coefficient is -1/2, so the sum of zeros will be ...

  sum of zeros = -(-1/2) = 1/2

If z represents the third zero, then we have the sum ...

  1/2 = -1 +2 +z

  z = -1/2 . . . . . . subtract 1 from both sides

The third zero is -1/2.

The given polynomial is of odd degree, so the product of the zeros is the opposite of the constant.

  (-1)(2)(z) = -(-1)

  z = 1/(-2) = -1/2 . . . . . divide by the coefficient of z

The third zero is -1/2.

Of course, a graph will show all of the (real) zeros. The attached graph from a graphing calculator shows the third zero is -1/2.

Answer:  [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]y -3 = -\frac{1}{2}(x-2)[/tex]

Write as slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

[tex]y-3=-\frac{1}{2}x + 1[/tex]

     [tex]y = -\frac{1}{2}x+4[/tex]

Therefore, the slope is [tex]-\frac{1}{2}[/tex].

The required value of  value of cospheta = √2/3​, here correct option is d) √2/3​.

The given equation is a Trignomatric Equation,
cos2pheta+cos^2pheta = 1

These are the equation which contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



cos2pheta + cos^2pheta = 1
Now we know that,

[tex]cos2x[/tex] = [tex]cos^2x -1[/tex]

so, substituting  cos2pheta = 2cos^2pheta - 1
2cos^2pheta-1 + cos^2peta = 1
3cos^2peta = 2
cos^2pheta = 2/3
cospheta = √2/3​

Thus, the required value for the cospheta = √2/3​.

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Answer:

t=4+6n

Step-by-step explanation:

a = 10

d=6

in general

tn = a + (n-1)*d

tn = 10 + (n-1)*6

tn = 10 + 6n - 6

tn = 4 + 6n

So if n = 5 then

t5= 4+6*5

t5= 4 + 30

t5 = 34 which agrees with your givens.

The absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

As we know,

The absolute value of a negative account balance is equal to the amount of debt. A balance of $0 on an account means there is no debt. Credit is shown by a positive account balance.

Richard has a debt of $45.

The negative of 45 value represents the debt.

-$45 = debt

Absolute value = |-45| = 45

Thus, the absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.

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Answer:

Side b is approximately 4.00064cm or since the question asked for the answer to be up to one decimal point, your answer should be 4 cm

Step-by-step explanation:

First of all, this triangle isn't a right triangle. This can be proven if we assume that the triangle is a right triangle. If it is a right triangle, since, one of its angle is 30 degrees, we can find the last unknown angle to = 60 degrees. Therefore, using the side ratios of a 30-60-90 triangle, and since side b is the smallest side (because it has the smallest angle facing it), its length is one half the length of the hypotenuse, therefore making its length 4. However, the 30-60-90 ration also states that, in this case, side b * sqrt(3) should be equal to the side tha measure 7cm, which is clearly not true. Therefore, proving that this triangle isn't a rigt tirangle.

So now, let's get to solving the question. Since we found out that this isn't a right triangle, we have to use the law of cosines which states

a^2 = b^2 + c^2 - 2bc*cos(A) where A is the angle facing side a

If we do this, it comes to the solution that a is approximately 4.00064cm.

Therefore, side b measures to 4.00064cm.

Answer:

i. {1,2,3,4,5,6,7,9}

ii. {1,3,5}

iii. {1,2,3,4,5,6,8,10}

Step-by-step explanation:

U= {1,2,3,4,5,6,7,8,9,10}

A= {1,3,5,7,9}

B= {1,2,3,4,5,6}

A U B = {1,2,3,4,5,6,7,9}

A n B = { 1,3,5}

A (prime) U B =

A(prime)= {2,4,6,8,10}

Therefore A(prime)= {1,2,3,4,5,6,8,10}

That shaded region area we need

Area

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The value of a₅ is -729.

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

Given the value of a₁=9 and the value of [tex]a_n=-3a_{(n-1)}[/tex]. Therefore, the value of a₅ can be written as,

a₂ = -3(a₁) = -3(9) = -27

a₃ = -3(a₂) = -3(-27) = 81

a₄ = -3(a₃) = -3(81) = -243

a₅ = -3(a₄) = -3(-243) = -729

Hence, the value of a₅ is -729.

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Answer:

1.5

Step-by-step explanation:

The average rate of change is 1.5

when x=0 , the value of y =1

when x=2 the value of y = 4

average rate of change formula = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

a= 0 , f(a)=1

b=2, f(b)= 4

4 - 1 / 2 - 0 = 3/2 = 1.5

Considering the formulas for the area and the perimeter of the rectangle, the one with the desired measures is given as follows:

a length of 3 units and a width of 4 units.

Considering a rectangle of length l and width w, we have that:

For a rectangle with a length of 3 units and a width of 4 units, we have that:

Hence it is the correct option.

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It is possible that a small sample size contributed to the 82% (±24%) estimate at a 95% confidence level.

A proportional confidence interval is provided by

[tex]\pi \pm z \sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

Where π is the sample proportion, z is the critical value and n is the sample size.

The margin of error is represented by

[tex]z \sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

As a result, smaller sample sizes result in wider margins of error. Option A has the greater margin of error in this scenario, so it most likely employed the smallest sample size.

Therefore we can conclude It is possible that a small sample size contributed to the 82% (±24%) estimate at a 95% confidence level. Option A is correct.

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The location of point B that partitions A(3, 4) and C(5, 11) in the ratio 2:3 is (3.8, 6.8).

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let b = (x, y) represent the location of the point B, hence:

x = (2 / (2 + 3))(5 - 3) + 3 = 3.8

y = (2 / (2 + 3))(11 - 4) + 4 = 6.8

The location of point B that partitions A(3, 4) and C(5, 11) in the ratio 2:3 is (3.8, 6.8).

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Answer:

no

Step-by-step explanation:

the bet displays 3 hexagonal bases when in the figure there is only 2 bases.

Answer:

No.

Step-by-step explanation:

Examples of three-dimensional figures are: Cuboid, Cube, Cylinder, Sphere, Pyramid, and a Cone.

Answer:

área is 15 perimeter is B

Answer:

pi/2 units to the left

Step-by-step explanation:

the formula is y = cos(x-b) so when b is negative, the formula will show a plus sign because minus negative is adding. this means the graph is shifted -pi/2 to the right which is really pi/2 to the left

Answer:3/20

Step-by-step explanation:

Fraction of total area mowed = (3/5) + (1/4) = 17/20

Therefore fraction of total area left = 1 - (17/20) = (20/20) - (17/20) = 3/20

Answer:

C: 80

Step-by-step explanation:

Take 600, and subtract it by the values of 200, 95, 65, and 160.

You get $80 left.

Hope this helps!

A function assigns the values. A function is a rule that assigns each value of the independent variable to exactly each value of the dependent variable.

A function assigns the value of each element of one set to the other specific element of another set.

The given statement can be completed as given below.

A function is a rule that assigns each value of the independent variable to exactly each value of the dependent variable.

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Step-by-step explanation:

x=66°

180-118=62°

180-52+62=66°

hope this helps

Answer:

6/12 or 1/2 or 50% or 0.5

Step-by-step explanation:

You have two 6-sided dice, and there are 3 odd numbers on each.

So, you put 6 on top, (the total number of odd outcomes) and 12 on the bottom. (12 total outcomes for both dice.) This simplifies to 1/2 or 50% or .5.

Answer:

1/2x^3

Step-by-step explanation:

The formula for the volume of a rectangular prism is v = b x w x h (volume is base times width times height).

Just plug the numbers (or in this case variables) into the formula:

v = x times x times 1/2x

v = 1/2 times x^3

v = 1/2x^3

Volume

Option A

The equation of the line will be 3y + 8x = 165.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The given equation of the line is:-

3 x + 8 y = 4.

The slope of this line will be:-

3 x + 8 y = 4.

8y = -3x + 4

y = -3 /8x + ( 1 / 2)

y = mx + c

m = -3 / 8

Since the line is perpendicular to the other line 3x +8y = 4 so the slope will be inverse and negative for the line.

So the slope of the line will be -8 / 3

The equation of the line passing through the point will be given as:-

y - y 1 = m ( x- x1)

y - (-9) = ( -8 / 3) ( x - 8)

Y + 9 = ( -8 / 3 ) ( x -8 )

3 y = -8x + 165

3y + 8x = 165

Therefore the equation of the line will be 3y + 8x = 165.

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I don't understand your question

Sorry!!! :)

[tex]\text{L.H.S}\\\\=\dfrac{\cos A}{1-\sin A} + \dfrac{\sin A}{1-\cos A} +1\\\\\\=\dfrac{\cos A(1-\cos A) + \sin A(1-\sin A) + (1-\sin A)(1 - \cos A)}{(1-\sin A)(1 -\cos A)}\\\\\\=\dfrac{\cos A - \cos^2 A + \sin A - \sin^2 A + 1 - \cos A - \sin A + \sin A \cos A}{(1 -\sin A)(1 - \cos A)}\\\\\\=\dfrac{-(\sin^2 A + \cos^2A) +1 + \sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\\\\\=\dfrac{-1 + 1 + \sin A \cos A }{(1 - \sin A)((1 - \cos A)}\\\\\\=\dfrac{0+ \sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\[/tex]

[tex]=\dfrac{\sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Answer:

[tex]\frac{x-22}{(x+2)(x-4)}[/tex]

Step-by-step explanation:

multiply the numerator/denominator of the first fraction by (x - 4)

multiply the numerator/denominator of the second fraction by (x + 2)

this ensures that the fractions have a common denominator

[tex]\frac{4}{x+2}[/tex] - [tex]\frac{3}{x-4}[/tex]

= [tex]\frac{4(x-4)}{(x+2)(x-4)}[/tex] - [tex]\frac{3(x+2)}{(x+2)(x-4)}[/tex] ← subtract numerators leaving the common denominator

= [tex]\frac{4x-16-3x-6}{(x+2)(x-4)}[/tex]

=[tex]\frac{x-22}{(x+2)(x-4)}[/tex]