Which graph represents the solution set of the system of inequalities?
{y≥1/3x−3
{y<−3x−3

Answer: D. Yes because it passes the vertical line test.

Step-by-step explanation

A function cannot have duplicate x-coordinates.

When given a table or a set of coordinates, if there is an x-coordinate that is paired with two different y-coordinates then it is not a function.

When given a graph, the simplest way to determine if it is a function is to use the vertical line test.  If you can draw a vertical line anywhere through the graph and it passes through two points, then it is not a function.

In the given graph, it passes the vertical line test so it IS a function.

Answer:

The given equation has infinite number of solutions. This means that any real number can be considered a solution to the given equation.

Since the given replacement set {2,3,4,5} consists of real numbers, therefore, the whole set is considered as a solution to the given equation.

This is because, when solving the given equation for x, we will end up with 0 = 0, this means that whatever the value of x is, both sides of the equation will always be equal.

Explanation:

To solve for x, we need to isolate the x on one side of the equation.

This can be done as follows:

3 + 2x = 2x + 3 (subtract 3 from both sides)

2x = 2x (subtract 2x from both sides)

0 = 0

This means that whatever, the value of x is, both sides of the equation will be equal. This means that all real numbers are considered a solution for this equation.

Let's verify this using the given replacement set {2,3,4,5}:

For x = 2:

Left hand side: 3 + 2(2) = 3 + 4 = 7

Right hand side: 2(2) + 3 = 4 + 3 = 7

Both sides are equal.

For x = 3:

Left hand side: 3 + 2(3) = 3 + 6 = 9

Right hand side: 2(3) + 3 = 6 + 3 = 9

Both sides are equal.

For x = 4:

Left hand side: 3 + 2(4) = 3 + 8 = 11

Right hand side: 2(4) + 3 = 8 + 3 = 11

Both sides are equal.

For x = 5:

Left hand side: 3 + 2(5) = 3 + 10 = 13

Right hand side: 2(5) + 3 = 10 + 3 = 13

Both sides are equal.

Hope this helps :)

Answer:

Your answer is B or option 2.

Step-by-step explanation:

When doing scale factors, you will multiply. Always. To get from the original box to the second box, you will multiply by a scale factor of 5/8. An equation can model this. b=5/8a. (Let a = dimensions of original/blue box, let b = dimensions of second/green box).

Since you need to find the dimensions of the first/original box, you need to change b=5/8a to a= [something]. To do that, divide both sides by 5/8. You have b / 5/8 = a. The dimensions of the second box divided by the scale factor 5/8 is the dimensions of the first box. This also makes sense, because the green box looks smaller than the blue box. Hope I helped! This is a challenging subject to explain properly. ^_^"

oh yeah kekeke my name is pizaz/pzaz, what a coinkidink

The answer is D.

Since the original rectangle is bigger, we are going to divide the dimensions in the smaller triangle by the scale factor 5/8. An easy hint to look at in this question is an answer choice that both dimensions are bigger than the dimensions of the smaller rectangle. All the other choices are incorrect because the dimensions of the original triangle are not bigger than that of the smaller triangle which makes them false.

Best of Luck!

9x < 54     |divide both sides by 9

x < 6

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

-4x < 12     |change the signs

4x > -12    |divide both sides by 4

x > -3

-3 < x < 12

Answer: b.

If you are F years old and your brother is B years older, then your brother is F+B years old. Add your age (F) and your brother's age (F+B) and you get F+(F+B) = 2F+B

The sum of your ages is 2F+B

where F and B are placeholders for numbers.

Answer:

Step-by-step explanation:

We convert into decimals and then multiply

Otherwise we can convert everything into one unit and then multiply.

10 hg = 1 kg and 100x1000 cg = 1kg

Using this

a. 9 kg 3 hg 1 cg × 9 = 9.300001x9=83.700009 kg

b.  11 dg 4 cg × 12 = 11.400004x12 =16.8000048kg

c. 10 g 5 dg × 6 = 10.5x6 =63.0 kg

d. 5 g 3 dg 4 cg × 8 =5.300004x8 = 42.400032

Total amount = 23890

Co- payment =20% of total amount

So (20/100)( 23890)

20% of 23890 = 4778

Answer is 4778

Solution is also given in attachment below

      700a + 1200r = 1,000,000

700(1000) + 1200r = 1,000,000

700,000  + 1200r = 1,000,000

                    1200r = 300,000

                           r = [tex]\frac{300,000}{1200} = \frac{3000}{12} = 250[/tex]

Answer: 250 pounds of robusta beans

Answer:

y  = 1.00+0.10 x

Step-by-step explanation:

Given that a taxi has a minimum charge of 1 dollar upto 1/10 mile and adds 0.10 for every additional 1/10 mile.

If a person travels <=1/10 miles his charges are 1 dollar

If he travels >1/10 miles charges are 1 dollar +0.10(extra miles 1/10)

Let y be the charges and x be the no of 1/10 miles.

Then the equation for y in terms of x would be

y =1.00 +1/10(x)

y  = 1.00+0.10 x

The complete solution is in image attached.

Answer: The correct option is (D) (5, -2).

Step-by-step explanation:  We are given to use the method of substitution to solve the following system of equations :

[tex]3x+7y=1~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

Substituting the value of y from equation (ii) in equation (i), we get

[tex]3x+7y=1\\\\\Rightarrow 3x+7(x-7)=1\\\\\Rightarrow 3x+7x-49=1\\\\\Rightarrow 10x=50\\\\\Rightarrow x=\dfrac{50}{10}\\\\\Rightarrow x=5,[/tex]

and from equation (ii) again, we get

[tex]y=x-7=5-7=-2.[/tex]

Thus, the required solution is (x, y) = (5, -2).

Option (D) is CORRECT.

1 400 000 000 000 000 000 000 km = 1.4 * 10^21 km

[tex]i^{77}=i^{4\cdot19+1}=(i^4)^{19}\cdot i^1=1^{19}\cdot i= i[/tex]

i^77 = (i^4)^19 * i

= 1^19  * i

= 1 * i

= i

Answer is   i

Answer:

Step-by-step explanation:

Given a geometric sequence.

2, 6, 18, 54, …

We have to find the I and nth term.

A geometric sequence. is one where each term is multiplied by a constant value to get the next term.

In our sequence, we find the pattern as each term is multiplied by 3 to get successive terms.

Hence common ratio r = 3

First term = a = 2

For Geometric sequence nth term = a_n = ar^(n-1)

Hence we get a_1 = 2

and a_n =  2(3)^(n-1)

By substituting for n any natural number we can get that term.

2 and 6 can go into it evenly

Number 12 have factors 12 = ( 1,2,3,4,6,12)

Number 18 have factors 18= ( 1,2,3,6,9,18 )

According to this we can conlude that numbers 12 and 18 have in common (1,2,3 and 6).

Good luck!!!

Answer:

The correct answer is A. 15.2 units

Step-by-step explanation:

The segment AB is congruent to the segment BC  eg AB≅BC Why?

We can prove it with the triangle congruent theorem, postulate side-side-angle

We are watching triangle ΔABO and triangle ΔCBO, they are congruent

first element side OB=OB - common side

second element side OA=OC=r - radius of the circle

third element angle ∡ABO≅∡CBO=90°

According to the postulate side-side-angle we can conclude that triangles

ΔABO≅ΔCBO (triangles are congruent)

If they are congruent all of their elements are also congruent and therefore also

side AB=BC  => AB+BC=AC,  which is chord  => 7.6+7.6=15.2 units

AC= 15.2 units ( chord )

Good luck!!!

Answer:

The correct answer is A. 15.2 units!

Step-by-step explanation:

"Product" tells you to multiply the two terms given.

p * 6 = 6p

Also, check your keyboard or whatever device you are using, it's doubling up the variable. It happened in your other question (source: https://brainly.com/question/11261394) as well.

Answer:

x=-0.688

Step-by-step explanation:

-2496-3744x+36 = -759x-414-10x

-2460-3744x = -769x-414

-2975x = 2046

Which methods can be used to expand (x+3)3?

Solution

Here use the Distributive Property of Multiplication Across the Addition.

The Distributive Property is a.(b + c) = a. b + a.c

Using the distributive property, we can expand the given expression.

(x + 3).3 = 3.x + 3.3

That is the expanded form.

The expression (x+3)³ can be expanded by using the binomial expansion method or by multiplying (x+3) by itself three times. This involves using binomial coefficients and combining like terms or calculating the products directly and simplifying the resulting expression.

To expand (x+3)³, we can use binomial expansion, which involves recognizing the pattern of coefficients that arise from Pascal's Triangle or using the binomial theorem. Another way is to multiply (x+3) by itself three times. In both methods, you calculate the products and combine like terms to get the final expanded form.

For cubing of exponentials, such as cubing (x+3), you must calculate each term of the binomial raised to the third power and then combine like terms. The cube of the digit term is calculated as usual, and you multiply the exponents by 3 when dealing with exponential terms.

An example of this concept applied to individual exponentials is: (5³)⁴ = 5³*⁴ = 5¹². In our case of binomial expansion, the expanded form of (x+3)³ would be x³ + 3*x²*³ + 3*x*3² + 3³, which simplifies to x³ + 9*x² + 27*x + 27.

Answer:

-1 and 3

Step-by-step explanation:

The equation can be solved using the quadratic formula, resulting in two possible solutions: x = (-3 + √25) / 4 and x = (-3 - √25) / 4.

This equation can be solved using the quadratic formula. For an equation of the form ax² + bx + c = 0, we rearrange it to 2x² - 3x - 2 = x + 4.

Now, using the quadratic formula, we can solve for the values of x:

x = (-b ± √(b² - 4ac)) / (2a)

Substituting the values a = 2, b = -4, and c = -6 into the formula, we get:

x = (-(-3) ± √((-3)² - 4(2)(-2))) / (2(2))

After simplification, we have x = (-3 ± √(9 + 16)) / 4

Which gives us two solutions: x = (-3 + √25) / 4 and x = (-3 - √25) / 4

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[tex]C^n_m=\left(\begin{array}{ccc}m\\n\end{array}\right)=\dfrac{m!}{n!(m-n)!}\\\\C^6_8=\left(\begin{array}{ccc}8\\6\end{array}\right)=\dfrac{8!}{6!(8-6)!}=\dfrac{6!\cdot7\cdot8}{6!\cdot2!}=\dfrac{7\cdot8}{1\cdot2}=\dfrac{56}{2}=28[/tex]

Answer:

28 because I have done this

Step-by-step explanation:

The answer would be B. x^2+8x+15