A relationship between x and y is defined by the equation − 5 x + 3 y = 12 , where x is the input and y is the output. Indicate whether each of these statements about the relationship is true or false by selecting a box in each row. Statement True False y is a function of x . The graph of the relationship is a line. The graph of the relationship passes through the origin. When the input is 6, the output is 14.

Answers

Answer 1

Answer:

Step-by-step explanation:

y is a function of x . TRUE

The graph of the relationship is a line.  TRUE

The graph of the relationship passes through the origin.  - it in standard form, when you plugin 0 for x or y, you get the other intersect( x-intercept: (12/-5,0) y-intercept: (0,4)) so it dosent go throught the origin. FALSE

When the input is 6, the output is 14. TRUE

-5(6)+3(14)=12

-30+42=12

12=12

Answer 2

Answer:

y is a function-TRUE

The graph of the relationship is a line-TRUE

The graph of the relationship passes through the origin-FALSE

When the input is 6, the output is 14-TRUE


Related Questions

Jocelyn has apples and apricots in a ratio of 250:15. How many apples does she have if she has 3 apricots?
HELP ASAPP

Answers

Answer:50

Step-by-step explanation:

15 : 5 = 3

250  : 5 = 3

For which values of x does each expression make sense? √(-2x)^2

Answers

We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0

We know that the argument of a square root can only be a real number equal to or larger than zero.

In this case, we have the expression:

[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]

One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.

The first thing we need to do is to make the argument equal or larger than zero:

-2x ≥ 0

x ≤ 0/-2

x ≤ 0

So the given expression only makes sense for x ≤ 0

If you want to learn more about rational expressions, you can read:

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Answer: No, the answer is All Real Numbers

Step-by-step explanation: e

100 if u get this right!

Answers

2 because it is the number being added to the zero intercept in the equation

Answer:

●y = mx + c

c = intercept

y = 9x + 2

intercept c =2

Which rational exponent represents a cube root?
A.
O B. 11
o
C.
N-
O D.
14

Answers

i’m pretty sure it’s D, since 11 and a letter wouldn’t make since

divide 100,000 by 10 scores​

Answers

10)100000(10000

10

___

××0000

Answer:

5000

Step-by-step explanation:

1 score = 20

10 scores

= 10 x 20

= 200

100,000 / 10 scores

= 100,000 / 200

= 5000

100 points
Help plz
show work
(2t)/(5)=(t^(2)-5t)/(5t)

Answers

Answer:

[tex]t=-5[/tex]

Step-by-step explanation:

[tex]\frac{2t}{5} = \frac{t^{2} -5t}{5t}[/tex], [tex]t\neq 0[/tex]

[tex]\frac{2t}{5} = \frac{t(t-5)}{5t}[/tex]

[tex]\frac{2t}{5} = \frac{t-5}{5}[/tex]

[tex]2t = t-5[/tex]

[tex]t=-5[/tex]

T= -5 trust me it’s right

50 ptssss
what is 2+2

Answers

Answer:

4!!!

Step-by-step explanation:

brainliest please?

Answer:

4

Step-by-step explanation:

I hope this helps!

A binomial experiment has 4 trials in which p=0. 35. What is the probability of 1 success?.

Answers

Answer: 5798

Step-by-step explanation:

Probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].

What is probability?

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes.Probability is always less than or equals to one."

Formula used

For binomial experiment

Probability =  [tex]^n C_r p^{r} q^{n-r}[/tex]

[tex]p =[/tex]success rate

[tex]q=[/tex] failure rate

[tex]p+q=1[/tex]

[tex]n=[/tex]Number of trials

[tex]r=[/tex] number of success

According to the question,

Total number of trials [tex]'n' =4[/tex]

Number of success [tex]'r' =1[/tex]

[tex]p = 0.35\\\\q = 1-0.35\\ \\\implies q = 0.65[/tex]

Substitute the value to get the required probability,

Probability [tex]= ^4C_1 (0.35)^{1}(0.65)^{4-1}[/tex]

                   [tex]=\frac{4!}{(4-1)!1!} \times\frac{35}{100}\times(\frac{65}{100})^{3} \\\\= 4 \times \frac{35}{100}\times \frac{274625}{1000000} \\\\= 0.384475[/tex]

                   ≈ [tex]0.4[/tex]

Hence, probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].

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A baseball tournament begins with 128 teams. After each round of games, only half of the teams are left. How many teams will be left after three rounds of games?

Answers

Answer:

End of round 1:

128 ÷ 2 = 64

End of round 2:

64 ÷ 2 = 32

End of round 3:

32 ÷ 2 = 16

Step-by-step explanation:

Answer: 16

Step-by-step explanation: i think :)

I got 8 green crayons for the a part just confused for the b part

Answers

Answer:

Just apply the same method to part B

x:24

5:8

x3 x3

15:24

Answer:

8

7

Step-by-step explanation:

24 purple

green : purple = 1 : 3

g / p = 1/3

g / 24 = 1/3

g = 24/3

g = 8

now abbi put x green crayons into box

now green : purple = 5 : 8

(8 + x) / 24 = 5/8

8 + x = 5/8 * 24

8 + x = 5 * 3

8 + x = 15

x = 15 - 8

x = 7

find the slope of the line

Answers

Answer:

-2

Step-by-step explanation:

[tex]\frac{(-5-1)}{(3-0)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2

what is 2 x 5/8 in fractions i need help

Answers

Answer:

5/8 x 2 = 10/8 as simplified as 5/4 in fraction form.

5/8 x 2 = 1.25

in decimal form.

Step-by-step explanation:

The solution of the fraction is,

⇒ 5 / 4

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The fraction is,

⇒ 2 × 5/8

Now, We can simplify as;

The fraction is,

⇒ 2 × 5/8

Multiply as;

10 / 8

⇒ 5 / 4

Thus, The solution of the fraction is,

⇒ 5 / 4

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Hello please help with this question.

Answers

Answer:

77.32°

Step-by-step explanation:

Use sine to find the measure of ∠A:

sine = opposite / hypotenusesin A = 80/82m∠A = arcsin (80/82) = 77.32°

Is this a function?

Answers

Answer:

Yes

Step-by-step explanation:

Yes, the graph represents a function because it passes the vertical line test:  Any vertical line drawn through this graph intersects this graph only once.  

For an art project you are using a piece of cloth out in the shape of an right triangle What’s the area of the cloth?

Answers

Answer:

18

Step-by-step explanation:

6*6/2 = 18

. He rowed 3 1/2 miles in 1/2 hour.What is the average speed in miles per hour.

Answers

Answer:

7 miles per hour

Step-by-step explanation:

3 1/2 miles = 7/2 miles

1/2 hours= 30 minutes

So,

In 30 mins, travelled 7/2 miles

In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles

In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.

Hence, the speed is 7 miles per hour.

Hope this helps :)

how do you simplify 2.7 x 6

Answers

Answer:

16.2

Step-by-step explanation:

WILL GIVE BRAINLIEST! Consider the graph at right and answer the following questions.

Answers

Answer:

a.)A and B are the intersection between the two curves. The x coordinate is the equation

[tex]f(x) = g(x)[/tex]

Let's solve it

[tex]\frac12 (x-2)^3 +1 = 2x^2-6x-3\\x^3-6x^2+12x-8+2=4x^2-12x-6\\x^3-10x^2+24x=0\\x(x^2-10x+24)=0\\x(x-4)(x-6)=0[/tex]

We can see that if we substitute x= 0 or x= 4 the equation is verified.

b. The equation has a third solution, x = 6, that is too far to the right to be visible in the graph.

c. the x coordinate of C is the solution of [tex]f(x)=0[/tex] or [tex]\frac 12 (x-2)^3 +1=0\\(x-2)^3 = -2\\(x-2) = -\sqrt[3]2[/tex]

At this point let's guesstimate the cubic root of 2 -let's say the cubic root of 2 is equal to 1plus an error e, and since we know how to calculate the cube of a binomial, let's build it.

[tex](1+e)^3 = 2 \rightarrow 1+3e+3e^2+e^3 = 2[/tex] Now, assuming the error is small enough, it's square and its cube gets even smaller. (if the error is 0.1, it's square becomes 0.01 and the cube 0.01), let's ignore them. [tex]1+3e=2 \rightarrow 3e=1 e= \frac13[/tex] So, going back to our equation, we can tell that the right hand side is [[tex]\mathbb{R}[/tex]]-(1+\frac13)[/tex] Not perfect, but good enough. Let's solve it now.

[tex]x-2= -1-\frac13 \rightarrow x=1-\frac13 = \frac23[/tex]

Which seems close enough from the photo.

c. Domain of both function are the whole Real set, since they're polynomials. Range of f(x) is again the whole real set, since it's an odd degree polynomial. g(x) is a parabula and its range is for y above the vertex y-coord, which is [tex]y>g(\frac32) = 2(\frac94)-6(\frac32)-3 = \frac92 -3(\frac62) -\frac62 = \frac92-4\frac62= -\frac{24-9}2 = -\frac{15}2[/tex]

4 1/4-2 3/5 what is the answer to this.

Answers

Answer:

1.65

Step-by-step explanation:

Find m<2
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

as the other triangle is Isosceles triangle which means it's two sides are equal and two angles are equal so

to find its 3rd angle apply angles sum property on it

according to which

2(68) + x = 180

136 + x = 180

x = 180 - 136

x = 44°

also we know, the other triangle is right angled triangle

so, it's one angle is 90° and 2nd angle is 44° (Vertically opposite angle)

therefore to know measure of angle 2 apply angle sum property of triangle in it too.

so,

90 + 44 + angle 2 = 180

134 + angle 2 = 180

angle 2 = 180 - 134

angle 2 = 46°

therefore, angle 2 is 46°

hope this answer helps you dear!

Plz.Help!me to solve first ano. and bno.​

Answers

Answer:

a) rs 3000

b) rs 16800

a) rs 1600

b) rs 4000

How to simplify and multiply fractions.

Answers

Answer:

*Find a number on top of the fractions and a number on the bottom of the fractions that can both be divided by the same number.

*Divide both numbers in the fractions by this number.

*Write the answers to this division in the place of the original numbers in the fraction.

which number sentence can be used to find 42 divied by 7

Answers

Answer: isn't it 42÷7=6?

Answer:

42 / 7 = 6

Step-by-step explanation:

Just use a multiplication table.

Do not round your answer. Type in just the number. 0.48 is what percent of 1.6

Answers

Answer:

30 percent

Step-by-step explanation:

That is not rounded. Just straight, plain, 30 percent.

3. After a study was completed at a local college, it was found that 386 in 1,112 students live
with their parents. What percent of the students lives with their parents? Round to the nearest
hundredth of a percent where necessary.
O 3.44%
O 34.71%
49.36%
065.28%

Answers

Answer:

34.71%

Step-by-step explanation:

1112-100 percent

386-x percent

x=386*100/1112≈34.71

The percentage of students living with their parents is 34.44%. The correct option is B.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that after a study was completed at a local college, it was found that 386 in 1,112 students live with their parents.

The percentage of the students who live with their parents will be calculated as,

Percentage = ( 386 / 1120 ) x 100

Percentage = 0.3471 x 100

Percentage = 34.71%

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Choose the angles that are adjacent to <3

Answers

Answer:

<2 & <4

Step-by-step explanation:

yeah-ya........ right?

Which of the following is the difference of two squares

4g-16h
16a^2-4y^2
2x^2-4y^2
25m^3+100n^2

Answers

Answer:

2nd option

Step-by-step explanation:

A difference of squares has the general form

a² - b²

where the terms on either side of the subtraction ( the difference ) are both perfect squares.

The only one fitting this description is

16a² - 4y²

= (4a)² - (2y)² ← difference of squares

Express 0.12 as a fraction

Answers

Answer:

Your answer is 3/25

Step-by-step explanation:

Answer:

The answer  is 12/100 or 6/50

hit test
Students were surveyed about their preference between dogs and cats. The following two-way table
displays data for the sample of students who responded to the survey.
How many students in the sample were female?
students
Preference
Male
Female
Prefers dogs
36
20
Prefers cats
10
26
No preference
2
6
Report a problem

Answers

Answer:

52

Step-by-step explanation:

add the columns with the female opinions (2 + 26 + 6)

then you get 52

confused with this question

Answers

Answer:

max profit is 8000

and units sold to obtain max profit is 3000

Step-by-step explanation:

This equation is in general form for a parabola equation

so the vertex represent the maximum profit and units to be sold

General form looks like this

7=a(x-p)²+q

where p and q is the vertex, ie the max point

in this equation

p=3000

q=8000

so max profit is 8000

and units sold to obtain max profit is 3000

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