Which trinomial did she factor?
x2 + 4x – 12
x2 + 2x - 6
x2 - 8x - 6
x2 - 4x - 12

Answer:

R = {-9, -5, -1, 3}

Step-by-step explanation:

To find the range, plug in each value of the domain into the given equation for x.

g(-2) = 2 (-2) - 5 = -9

g(0) = 2 (0) - 5 = -5

g(2) = 2 (2) - 5 = -1

g(4) = 2 (4) -5 = 3

Answer:

R = {-9, -5, -1, 3}

Step-by-step explanation:

We can determine the range of the function g by inputting each given domain value into the function itself.

g(x) = 2x - 5 and D = {-2, 0, 2, 4}

g(-2) = 2(-2) - 5 = -4 - 5 = -9

g(0) = 2(0) - 5 = 0 - 5 = -5

g(2) = 2(2) - 5 = 4 - 5 = -1

g(4) = 2(4) - 5 = 8 - 5 = 3

Therefore, R = {-9, -5, -1, 3}.

I hope this helps!

Answer:

A. The daily records of the distance of each hotel from home during a cross country trip.

Step-by-step explanation:

A discreet graph is one that is composed of unconnected, "scattered" points. The best option is A because B,C and D would all be graphed to show the increase or decrease in values, (function) while the distances of the hotels are not something that you would have to measure!

Answer:

A

Step-by-step explanation:

Because I have big brain and also y’all know what edge is I got it correct

Answer:

Step-by-step explanation:

This is easy, just multiply 3.8 by 7.

3.8 x 7 = 26.6

I'm always happy to help :)

Answer:

see below

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10  = 10 cards

9 of them have 1 digit on them  ( 10 has 2 digits)

P( 1 digit) = number with 1 digit) / total = 9/10

P(  not have 1 digit)= number not  with 1 digit) / total = 1/10

Answer:  [tex]\bold {1)\ \cos\ \theta}=\dfrac{\sqrt2}{2}\qquad 2)\ \tan \theta =\dfrac{1}{3}\qquad 3)\ \cos\ \theta=\dfrac{3\sqrt{13}}{13}\qquad 4)\ \cos\ \theta = \dfrac{2\sqrt5}{5}}[/tex]

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c², where "c" is the hypotenuse

[tex]1)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt2}\quad =\large\boxed{\dfrac{\sqrt2}{2}}[/tex]

Note: 2² + 2² = hypotenuse²  →  hypotenuse = 2√2

[tex]2)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{2}{2\sqrt2}\quad =\dfrac{5}{15}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]

Note: hypotenuse not needed for tan θ

[tex]3)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3}{\sqrt{13}}\quad =\large\boxed{\dfrac{3\sqrt{13}}{13}}[/tex]

Note: 2² + 3² = hypotenuse²  →  hypotenuse = √13

[tex]4)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{2\sqrt5}\quad =\large\boxed{\dfrac{2\sqrt5}{5}}[/tex]

Note: hypotenuse given in problem

Answer:

B)

Step-by-step explanation:

If two square matrix, with same dimensions, are inverse of one another, their product will always be the identity matrix with the same dimensions.

The matrix A and B are 2x2, so the result of the product A * B is a 2x2 identity matrix, that is represented as follows:

I = [1 0 ; 0 1]

(First line: 1 0, second line: 0 1)

So the correct option is B)

Answer:

[tex]\angle PRQ = 50^\circ[/tex]

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

[tex]\angle RPQ =99^\circ[/tex]

[tex]\angle PQR =31^\circ\\\text{Side QR} = 11\ units[/tex]

To find:

[tex]\angle PRQ =?\\Side\ PR = ?\\Side\ PQ = ?[/tex]

We know that the sum of all the angles of a triangle is equal to [tex]180^\circ[/tex]

i.e.

[tex]\angle PQR +\angle PRQ +\angle RPQ =180^\circ\\\Rightarrow 31^\circ +\angle PRQ +99^\circ =180^\circ\\\Rightarrow \angle PRQ = 180-130\\\Rightarrow \angle PRQ = 50^\circ[/tex]

To find the sides, we can use Sine rule:

As per Sine rule:

[tex]\dfrac{a}{sin A} =\dfrac{b}{sin B} =\dfrac{c}{sin C}[/tex]

Where a, b and c are the sides opposite to [tex]\angle A,\angle B,\angle C[/tex] respectively.

Using Sine rule in given triangle:

[tex]\dfrac{11}{sin 99} =\dfrac{b}{sin 31} =\dfrac{c}{sin 50}\\\\\text{Solving }\dfrac{11}{sin 99} =\dfrac{b}{sin 31} \\\Rightarrow b = \dfrac{11}{sin 99} \times sin31\\\Rightarrow b =5.74\ units\\\\\text{Now, Solving }\dfrac{11}{sin 99} =\dfrac{c}{sin 50} \\\Rightarrow c = \dfrac{11}{sin 99} \times sin50\\\Rightarrow c =8.53\ units[/tex]

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Answer:

Answer:

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

To find:

We know that the sum of all the angles of a triangle is equal to

i.e.

To find the sides, we can use Sine rule:

As per Sine rule:

Where a, b and c are the sides opposite to  respectively.

Using Sine rule in given triangle:

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

Answer:

Fraction =  13/20

Decimal =  0.65

Percent = 65%

Step-by-step explanation:

Given:

13 out of 20 emails in mail inbox are junk emails

Solve for:

The experimental probability that next email is junk

Solution:

Step 1: Define the formula for calculating the probability

P = number of elements/total number of elements

Step 2: Perform the calculation

The number of elements (junk emails) = 13

The total number of elements (all emails) = 20

=> P(obtain odd number in experiment) in fraction form = 13/20

=> P(obtain odd number in experiment) in decimal from = 0.65

=> P(obtain odd number in experiment) in percent form = 0.65 x 100 = 65%

Hope this helps!

:)

Answer:

x= -12

Step-by-step explanation:

∠2= (180°-36°)÷2 (base ∠s of isos. △)

∠2= 72°

m∠2= x +84

72= x +84

x= 72 -84

x= -12

Answer:

The value if x is -12.

Step-by-step explanation:

Given that isosceles triangle have a same pair of angle. So in order to find the angles, you have to subtract it from 180° and 36°.

[tex]θ + θ + 36 = 180[/tex]

[tex]2θ = 180 - 36[/tex]

[tex]2θ = 144[/tex]

[tex]θ = 144 \div 2[/tex]

[tex]θ = 72[/tex]

Next, the expression for ∠2 is x + 84 which is also 72°. So you have to solve it by comparing :

[tex]x + 84 = 72[/tex]

[tex]x = 72 - 84[/tex]

[tex]x = - 12[/tex]

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

From the tables Q₁ = 900, Q₂ = 800

Using midpoint method:

Percentage change in quantity = [tex]\frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\[/tex]

Percentage change in price =

[tex]\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\[/tex]

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18

The Price of elastic demand is positive because we took the absolute value and elasticity are always positive

Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.

This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded

Answer:

3811.21

Step-by-step explanation:

volume of sphere is 4188.79 using the formula for the volume of a sphere.

volume of the box is=20x20x20=8000

8000-4188.79=3811.21

Answer:

Step 2.

-11/12 > -1.5

1.6 > 5/4

1 < 5/4

Step-by-step explanation:

Eval should have swapped the numerator and denominator of 4/9 when she replaced division by multiplication.

Answer:

4 is a

Step-by-step explanation:

Answer:

[tex]x = 20[/tex]

Step-by-step explanation:

[tex]3x + 2x + 80 = 180 \\ 5x + 80 = 180 \\ 5x = 180 - 80 \\ 5x = 100 \\ \\ x = \frac{100}{5} \\ \\ x = 20[/tex]

Answer:

x=20

Step-by-step explanation:

The 3 angles are on a straight line together. Therefore, they are supplementary. This means they must add to 180 degrees.

Therefore,

3x+80+2x=180

Combine like terms by adding 3x and 2x

(3x+2x)+80=180

5x+80=180

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

80 is being added to 5x. The opposite of addition is subtraction, so subtract 80 from both sides.

5x+80-80=180-80

5x=180-80

5x=100

x is being multiplied by 5. The opposite of multiplication is division, so divide both sides by 5.

5x/5=100/5

x=100/5

x=20

x is equal to 20.

Answer:

see below

Step-by-step explanation:

x² = 30

x = ±√30 (take the square root of both sides)

The value of X in the equation is:

√30 or 5.48

An algebraic equation is when two expressions are set equal to each other, and at least one variable is included.

If X to the second power equals 30 can be written as:

X² = 30

To find the value of X, take the square root of both sides of the equation. That is:

√X² = √30

X = √30

X = 5.48

Learn more about algebraic equation on:

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#SPJ6

Answer:

7.5

Step-by-step explanation:

Add each number then divide at the end

Answer:

see below

Step-by-step explanation:

do long division

for example 42/8 = 5 2/8 =5 1/4 =5.25

Answer:

Linear. While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

Answer:

The answer is C

Step-by-step explanation:

got it right

Answer:

I think its (A)

Step-by-step explanation:

To find the area you have to multiply (b*w)*h

and if the area is 60 you just have to divide by the height to get the base area.

60/8=7.5

Hope this helps :3

Answer:

Between 1997 and 2004, Baffin Bay’s polar bear population  

decreased

.

528 is about  

25

percent of 2074.

Step-by-step explanation:

Answer:

decreased

25

Step-by-step explanation:

Answer:

  80 feet

Step-by-step explanation:

The smallest value of f(x) in the table is f(x) = 0. It occurs where x = 80.

Since x is the horizontal distance in feet from the wall, the minimum point (drain) is 80 feet from the wall.

Answer:

c

Step-by-step explanation:

edge2020

Answer:

[tex]x=-8[/tex]

Step-by-step explanation:

→All you need to do for this equation is, divide both sides by -300. You do this to get "x," by itself:

[tex]2400=-300x[/tex]

[tex]\frac{2400}{-300} =\frac{-300x}{-300}[/tex]

[tex]-8 = x[/tex]

Answer:

y=2x-2-3

Step-by-step explanation:

First you will need graphing paper. Go ahead and locate the y intercept on each of these equations. Then locate the slope. (y=mx+b). If the slope is positive count the amount of blocks up the slope's value is. And if negative count down. Then count to the right depending on the denominator. (2/1) You will make a triangle draw the line on the hypotenuse of the triangle. Then you have the line. You can also just use desmos.

The equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]

Functions are used to represent equation, graphs and tables

The parent function of the graph is an exponential function represented by

[tex]y = 2^x[/tex]

First, the function is shifted 2 units right.

So, we have:

[tex]y = 2^{x - 2}[/tex]

Next, the function is shifted 3 units up.

This is represented as:

[tex]y = 2^{x - 2} + 3[/tex]

Hence, the equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer: If the function is: f(x) = (x^2−3x−10)/(x−5) The function has no holes.

If the function is f(x) = x^2−3x−10/x−5 then the hole is at x = 0 (the left side goes up, and the right side goes down, as the numerator is a negative number)

Step-by-step explanation:

I am not shure of what is the function, as you used no parentheses in it, so i will solve it for two different functions:

We have the function:

f(x) = (x^2−3x−10)/(x−5)

We want to find the "hole", this means that we want to find the value of x where the denominator is equal to zero.

If you look at the function, is easy to think that in x = 5 the denominator will be equal to zero, but we need to prove it.

First, we need to see if the numerator part is also zero when x = 5.

so

5^2 - 3*x - 10 = 25 -15 - 10 = 0

Ok, let's find the other root of the quadratic function:

x^2 - 3*x - 10 = (x - 5)*(x - b) = x^2 - (b + 5)*x + (b*5)

then we have: (b + 5) = 3 and b*5 = -10

then b = -2, this means that we can write the numerator part as:

x^2 - 3*x - 10 = (x - 5)*(x + 2)

then our function is:

f(x) =   (x - 5)*(x + 2)/(x - 5) = x + 2

This function has no holes.

Now, if the function actually is:

f(x) = x^2−3x−10/x−5

Then we have an x on the denominator of the third term of the equation, this denominator is 0 only when x = 0

Answer:

y = x/2 -14

Step-by-step explanation:

Since the lines are parallel, their slopes are equal

For the first line, we have

y = 0.5x -8

so comparing this with the standard form y = mx + c

Our m is the slope which is 0.5 here

kindly recall that 1/2 is same as 0.5

so the slope of the line we want to form also is 0.5

Now, we use the point slope form to find the equation of this new line

Mathematically that would be;

y-y1 = m(x-x1)

So;

y-(-17) = 0.5(x-(-6)

y + 17 = 0.5(x + 6)

y + 17 = 0.5x + 3

y = 0.5x + 3-17

y = 0.5x -14

or y = x/2 -14

Answer:

196

Step-by-step explanation:

196 is the perfect square number, because its square root is 14.

[tex] \sqrt{196} = 14[/tex]

The graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1

The equation is given as:

y = - 3x + 1

The above equation is a linear function

A linear function is represented as:

y = mx + c

Where m represents the slope and c represents the y-intercept

This means that the graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1

Read more about linear equations at:

https://brainly.com/question/4025726

X-intercept is -4 and the Y-intercept is 5