How many solutions exist for the system of equations graphed below?

a.) none
b.) one
c.) two
d.) infinitely many

Answer:

theta = pi/6 and

theta = 5pi/6

Step-by-step explanation:

see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.

Let's simplify the problem down a little:

 ⇒ set 'sin(θ)' as x

    ⇒ the new equation looks like: [tex]2x^2+5x-3=0[/tex]

Now let's solve this equation as a quadratic:

 [tex]2x^2+5x-3=0\\(2x-1)(x+3)=0\\\\2x-1=0\\x = \frac{1}{2} \\\\x+3 = 0\\x=-3[/tex]

Now set the x value of '1/2', to sin(θ)

         sin(θ) = 1/2

            θ = π/6, which is between the range given

Answer: π/6

Hope that helps!

Using the hypergeometric distribution, it is found that there is a 0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that the values of the parameters are:

N = 10, k = 4, n = 2.

The probability that both are green is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,10,2,4) = \frac{C_{4,2}C_{6,0}}{C_{10,2}} = 0.1333[/tex]

0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.

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Answer:

deductive reasoning

Step-by-step explanation:

it is based on what is true based on what happened before

Answer:

2 option, deductive reasoning

Step-by-step explanation:

based on true events

8v + 3 -4v = 4v + 5 -3 has infinitely many solutions

7v - 11 = 7v + 11 has no solution

3(v-4) = 2(v-6) has one solution

5(2v+3) - 2 = 12v + 12 -2v has no solution

A linear equation is said to have infinitely many solution when the variable term and the constant term are the same on both sides of the equation.

A linear equation is said to have no solution, if the coefficient of the variable term is zero and the constant term a non-zero term

A linear equation is said to have one solution if the coefficient of both the constant term and the variable terms are no zero.

Analysis:

8v + 3 -4v = 4v + 5-2

4v +3 = 4v+3

The equation has an infinitely many solutions

7v-11 = 7v+11

7v-7v = 11+11

0v = 22

The equation has no solution since the coefficient of the variable term is 0

3(v-4) = 2(v-6)

3v -12 = 2v - 12

v = 12-12 = 0

The equation has one solution

5(2v+3) -2 = 12v + 12-2v

10v+15-2 = 10v +12

0v = -1

The equation has no solution.

In conclusion,

8v + 3 -4v = 4v + 5 -3 has infinitely many solutions

7v - 11 = 7v + 11 has no solution

3(v-4) = 2(v-6) has one solution

5(2v+3) - 2 = 12v + 12 -2v has no solution

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Answer:

When 6x - 4 = 8, x = 2.

Step-by-step explanation:

6x - 4 = 8

Add 4 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Proof:

6x - 4 = 8

Substitute variable.

6(2) - 4 = 8

Multiply 6 and 2.

12 - 4 = 8

Subtract 4 from 12.

8 = 8

Answer:

x is 2

Step-by-step explanation:

Simplify equation

What happens to one side must happen to the other

Add 4 to both sides

This tells us 6x is 12

Divide both sides by 6

X is 2

Answer:

Lamar wants to predict the number of customers who may be interested in going to a music festival when a ticket to the festival costs $25. Using survey data, Lamar drew a line of best fit to make his prediction. Which should Lamar predict to be the number of customers interested in attending the music festival when the ticket price is $25?/

The given,matrix is [1  -4  5  -7] Thus, the correct option is A [3  -12  15  -21].

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The given, a matrix is

[1  -4  5  -7]

The product will be

3. [1  -4  5  -7]

[3  -12  15  -21]

Thus, the correct option is A [3  -12  15  -21].

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Answer:

A and E

Step-by-step explanation:

A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.

but this does not tell us anything about EF.

E and F could be very close together or far apart, and still DE = FG can be true in either case.

and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.

Answer:

y=15 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

cos(a) = 1/2 or 0.5

that means a = 60°

the cosine value is the x coordinate, the sine value the y coordinate.

so, only an answer with 1/2 as x coordinate can be right.

and therefore, the 4th answer (bottom right) is correct.

Answer: Absolute value function

The type of parent function is f(x)= |x| is Absolute valued function

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

Given function:

f(x)= |x|

As, we know the modulus generally give the absolute value of any function and also the modulus always give the positive value.

The above property perfectly resemble the absolute valued function.

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[tex]\huge\sf\color{red}{Answer:}[/tex]

Formula:

Lets solve : )

So the answer would be [tex]\large\sf\color{red}{16}[/tex]

Answer:

66

Step-by-step explanation:

this is actually an almost trick question because it wants to confuse you!

Here's the trick

to work out a mean (average) you add all the components together then divide by the amount of groups.

but here they didn't give you components just the mean of the classes...both of them.

the question says "The mean fpor class A is 66, the mean score for BOTH classes is 66"

so this means that Class B's mean score is 66 too

hope this helps

Based on the distance to the end of the hike and the distance to the scenic lookout, we can calculate that the straight route is 2 km shorter than the scenic lookout route.

If Maria took the straight route to the end of the Hike from the coordinates, (4, -4) to (-5, 5), she would have to walk 13 km.

If she went the scenic lookout route, she would have to first go to (2,3) before going to (-5,5) which is 15 km.

The difference is:

= 15 - 13

= 2 km

A more readable version of the question is:
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she went straight to the end of the hike.

3 connected points on a coordinate plane. The point labeled, "Maria," is at 4, -4. The point labeled, "end," is at -5, 5.

A solid line connect the points "Maria" and "end." The point labeled, "scenic lookout," is at 2, 3. Dashed lines connect "Maria" to "scenic lookout" and connect "scenic lookout" to "end."

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Answer:

2KM

Step-by-step explanation:

Answer:

221.16

Step-by-step explanation:

Find the difference between each day. Add all the differences together, then divide that number by 6 (the number of differences) to find the mean.

Answer:

189.57 miles per day.

Step-by-step explanation:

I took the test

Answer:

Mean = 23

Median = 24

Mode = 24

Step-by-step explanation:

Mean:  The sum of all data values divided by the total number of data values.

⇒ Mean = (24 + 20 + 26 + 24 + 21) ÷ 5 = 23

Median:  The middle value when all data values are placed in order of size.

Ordered data values:  20, 21, 24, 24, 26

⇒ Median = 24

Mode:  The most frequently occurring data value.

20, 21, 24, 24, 26

⇒ Mode = 24

Answer:

9

Step-by-step explanation:

5*x=15

X=3

3*3=9

[tex]\\ \rm\dashrightarrow \dfrac{5}{3}=\dfrac{15}{x}[/tex]

[tex]\\ \rm\dashrightarrow 5x=45[/tex]

[tex]\\ \rm\dashrightarrow x=\dfrac{45}{5}[/tex]

[tex]\\ \rm\dashrightarrow x=9[/tex}

Answer:

1 pound is equivalent to 453.59237 Grams.

✎let's answer it :3

☟ answer

-> ( 453.59237 grams )

hope it helps

[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,7)\qquad R(8,-5)\qquad \qquad \stackrel{\textit{ratio from P to R}}{4:5} \\\\\\ \cfrac{P\underline{Q}}{\underline{Q} R} = \cfrac{4}{5}\implies \cfrac{P}{R} = \cfrac{4}{5}\implies 5P=4R\implies 5(-10,7)=4(8,-5)[/tex]

[tex](\stackrel{x}{-50}~~,~~ \stackrel{y}{35})=(\stackrel{x}{32}~~,~~ \stackrel{y}{-20})\implies Q=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-50 +32}}{4+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{35 -20}}{4+5} \right)} \\\\\\ Q=\left( \cfrac{-18}{9}~~,~~\cfrac{15}{9} \right)\implies Q=\left( -2~~,~~\cfrac{5}{3} \right)[/tex]

The statements that describe the fraction bar diagram shown are:

B. Each part of the whole fraction bar is equal to one-seventh.

C. The shaded portion of the fraction bar represents a unit fraction.

E. Each part represents a unit fraction.

A fraction bar is a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.

Here,  each part of the whole fraction bar is equal to one-seventh, the shaded portion of the fraction bar represents a unit fraction, and each part represents a unit fraction.

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Step-by-step explanation:

From what I know

3x-1=0

3*(-2)-1=0

-6-1=0

=-7.

I'm not sure but u can try it.

The value of f(-2) in this function is f(-2) = -7

To solve this expression, just replace 'x' with -2. When the expression is ready, let's calculate it.

First we multiply or divide, then add or subtract.

f( x ) = 3x - 1

f(-2) = 3 · (-2) - 1

f(-2) = -6 - 1

f(-2) = -7

So, the alternative value is f(-2) = -7

Answer:

x = 90°

y = 40°

z = 40°

Explanation (Concepts) :

A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.

Workouts:

z + 90° + 50° = 180°

z = 180° - 90° - 50°

z = 40°

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

x + 90° = 180°

x = 180° - 90°

x = 90°

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

50° + 90° + y = 180°

y = 180° - 90° - 50°

y = 40°

Answer:

Step-by-step explanation:

x = 90°

…………………

y = 90 - 50

  = 40°

……………………………

z = 180 - (50 + 90)

  = 180 - 140

  = 40°

Step-by-step explanation:

mx=n

⟹x=mn

Since m and n are both negative, x=mn will be positive.

Hence, the solution of mx=n will be a positive number.

other sulotion :-

Answer:

c

Step-by-step explanation:

the -2 causes a shift 2 units right

Answer:



Step-by-step explanation:

The probability of randomly selecting a tree or a flower is 8/15.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of randomly selecting a tree or a flower = (number of trees / total number of flash cards) + (number of flowers / total number of flash cards)

8/30 + 8/30 = 16/30  = 8/15

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So we replace "x" with the necessary value (-7):

[tex]f( - 7) \: = \: 5(4 \: - \: ( - 7))[/tex]

[tex]f( - 7) \: = \: 5(4 \: + \: 7)[/tex]

[tex]f( - 7) \: = \: 5 \: \times \: 11[/tex]

[tex]f( - 7) \: = \: \boxed{ \bold{55}}[/tex]

[tex] \boxed{ \bold{55}}[/tex]