Which statement could be an interpretation of the graph’s x-intercept or y-intercept?

On a coordinate plane, a line goes through points (0, 4) and (8, 0).
Tabitha took 6 hours to drive to her friend’s house.
Matthew used 12 gallons of gas in all.
Rosa will pay off her loan in the eighth month.
Eight members of Hoi's family were each charged $4 to go to a movie.

Answer:

Following system of equations have exactly one solution:

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

Step-by-step explanation:

Given 4 system of equations:

1st  

[tex]4 x + 2 y = 8\\ -4 x -2 y = 3[/tex]

2nd

[tex]-5 x + y = 6\\ 5 x - y = - 6[/tex]

3rd

[tex]- 3 x + 4 y = 2\\ 3 x - 4 y = 0[/tex]

4th

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

To find: Which system of equations has only one solution?

Solution:

First of all, let us learn the concept.

Let the equation of lines be:

[tex]a_1x+b_1y+ c_1=0[/tex] and  [tex]a_2x+b_2y+ c_2=0[/tex]

1. No solution:

There exists no solution if:

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]

2. Infinite solutions:

There exist infinitely many solutions if:

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

3. One solution:

There exists one solution if:

[tex]\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}[/tex]

Now, let us consider the given equations one by one.

1st system of equations:

The ratio is:

[tex]\dfrac{4}{-4} , \dfrac{2}{-2} , \dfrac{8}{3}\\-1 =-1\neq \dfrac{8}{3}[/tex]

So, no solution.

2nd system of equations:

The ratio:

[tex]\dfrac{-5}{5} , \dfrac{-1}{1} , \dfrac{6}{-6}\\-1 =-1=-1[/tex]

So, infinitely many solutions.

3rd system of equations:

[tex]\dfrac{3}{-3} , \dfrac{-4}{4} , \dfrac{0}{2}\\-1 =-1\ne0[/tex]

So, no solution.

4th system of equations:

[tex]\dfrac{2}{3} , \dfrac{4}{-4} , \dfrac{6}{9}\\\dfrac{2}{3} \ne-1[/tex]

Hence, only one solution.

So, the answer is:

Following system of equations have only one solution:

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

Answer:

4

Step-by-step explanation:

Answer:

1 and 2. { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 , 100 }

3. Mean ➡ 13.67 ( About )

4. The mean will decrease. The mean is the average difference between the values in a data set, and this outlier is much greater than the rest of the values. Therefore, in the absence of the outlier the mean will decrease.

5. Mean ➡ 7.5

Step-by-step explanation:

I do want to point out that there is no " correct " answer in this case, but if you are referring to accuracy in terms of the calculations ( mean ) in this set, then I can understand.

1 and 2. An outlier is a value that does not belong to the set of values, considering their is pattern among the numbers. In other words it can be a number of high value, or a number of low value with respect to the data set. This throws the pattern of the set off balance, and does result in drastic changes in the mean.

Let's say that this is the following set - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 }. A very basic set, but as you can see contains only 14 elements. This last element here will be the outlier, 100 - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 100 }.

3 and 4 and 5. Assuming that this outlier was not present, I can tell that the set would have a mean less than when it was present. The mean is the average difference in the data set, and this outlier is greater than the other elements - greatly increasing the mean. The mean of the data set with the outlier is 13.67, and the mean of the data set without the outlier would be 7.5.

Step-by-step explanation:

There are 12 beads.  2 are blue, 1 is green, 3 are purple, and the rest (6) are red.

So there are 9 beads that are purple or red.

The probability is therefore 9/12, which reduces to 3/4.

Answer:

Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.

Step-by-step explanation:

Well first we need to work out the number of beads total.

2 blue + 1 green + 3 purple + 6 red = 12

9 purple or red,

9/12

Simplified,

3/4

Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.

Answer:

facil es la D

Step-by-step explanation:

10+6+12 igual a 28

y nada mas ahi que decir el numero de rosas amarillas que es este caso son

6

Respuesta 6:28

Answer:

D. 6:28

Step-by-step explanation:

The total number of flower in bouquet is

=6+10+12

=28

The ratio of number of yellow roses to the total number of roses is 6:28

Answer:

Step-by-step explanation:

27^2 = 729

13^2 =169

Answer:

1) [tex]\boxed{729}[/tex]

2) [tex]\boxed{169}[/tex]

Step-by-step explanation:

1) 27²

This means 27 is being multiplied 2 times.

So,

=> 27*27

=> 729

2) 13²

This means 13 is being multiplied 2 times

So,

13*13

=> 169

Answer:

12b^2+4ab−3ba−6

Step-by-step explanation:

12b2+4ab−3ba−6

The two middle terms are like terms, the order in which you multiply does not matter ab =ba

12 b^2 +4ab -3ab -6

12 b^2 +ab -6

The correct answer is....

If the degree and variables of two terms are same, then they are called like terms.

Here, 4ab and -3ab are like terms because both have same variables a and b with degree 1.

By combining like terms we get

In options B, C and D, there are no like terms, So only the expression  we can simplify by combining like terms.

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

Answer:

D) 6,000 square mm

Step-by-step explanation:

To find the surface area of the triangular prism, find the are of each face.

After adding all the sides' together, you get 6,000 square mm.

Answer:

V = 7*4*1

V = 1*4*7

V = 4*7*1

Step-by-step explanation:

The volume is found by

V = l*w*h

V = 7*4*1

We can multiply in any order

Answer:

Choices 2, 5, 6

Step-by-step explanation:

Rectangular Prism Volume: whl (width ✖️height✖️length).

4✖️7✖️1

Anything that is same with that is the answer, therefore, choices 2, 5, and 6 are correct.

I hope this helps you!

Answer:

rational

Step-by-step explanation:

rational because it doesn't repeat

irrational: 5.399999

Rational: 5.39

:)

for questions 8 and 9, you just need to use a ruler to fine how many inches, centimeters, or millimeters each line segment is. (make sure to properly read the question to see if they’re asking for the measurement in in, cm, or mm.) i won’t be able to give you these measurements because the picture became smaller when you uploaded it, but it shouldn’t be that hard for you!

for question 10, use a ruler to draw and label your own line segment.

on 10a, draw a line segment that is 3 1/4 inches long, then label one end of the segment ‘H’ and one end ‘J’

for 10b, draw a line segment that is 5 7/16 inches long, then label one end of the segment ‘M’ and the other ‘N’.

━━━━━━━☆☆━━━━━━━

▹ Answer

24

▹ Step-by-Step Explanation

2³ + 4²

= 2 * 2 * 2 → 8

= 4 * 4 → 16

8 + 16 = 24

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

24

Step-by-step explanation:

2³ + 4²

Solve for exponents first.

2³ = 2 × 2 × 2 = 8

4² = 4 × 4 = 16

8 + 16

Addition.

= 24

Answer:

Step-by-step explanation:

3 × 2 + x = 10

6 + x = 10

x = 10 -6

x = 4

Step-by-step explanation:

so 3 x 2 is 6

6 add x is 6x

6x = 10

divide by 6 or 10 on both sides to get ur answer

hope this helps

i would appreciate it if u could heart my answer and give it 5 stars or maybe even give it brainliest pls i beg u thx !!!!! : )

Answer:

B. 15:1

Step-by-step explanation:

30/2=15/1

45/3=15/1

60/4=15/1

75/5=15/1

Hope this helps ;) ❤❤❤

The correct answer is B

Answer:

9/28

Step-by-step explanation:

−6/7×−3/8and solve

−6 ×−3 OVER 7×8

=18/56

18÷2 OVER 56÷2=9/28 Therefore:

−6/7×−3/8=9/28

Answer:

Step-by-step explanation:

[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]

Multiplying two negative equals a positive

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex] \frac{6}{7} \times \frac{3}{8} [/tex]

Reduce the numbers with G.C.F 2

[tex] \frac{3}{7} \times \frac{3}{4} [/tex]

Multiply the fractions

[tex] \frac{3 \times 3}{7 \times 4} [/tex]

[tex] \frac{9}{28} [/tex]

hope this helps...

Good luck on your assignment...

Answer:

5a) 0.2823=2823/10000

5b) 0.5474=2737/5000

6a)0.3484=871/2500

6b) 0.5=1/2

7a) 0.11=11/100

7b) 0.1224=153/1250

Step-by-step explanation:

Answer:

Step-by-step explanation:

The product of distances to the circle along a secant is the same for all secants intersecting a given point.

a. Secants SW and QT intersect at U. Thus ...

  (UT)(UQ) = (US)(UW)

  (1.5)(4) = (SU)(3)

  SU = (4)(1.5)/3

  SU = 2

__

b. Secants PT and PX intersect at P. Thus ...

  (PQ)(PT) = (PR)(PX)

  PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3

  PX = 6 2/3

Answer:

Step-by-step explanation:

The formula is V= w h l

So it’s be V= 16 1/4 x 1/2

V= 16.25 x .50

V= 8.125

V=8

Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

[tex]0=-8(2 t-4)(t+1)[/tex]

[tex]t=-1,2[/tex]

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

[tex]h=-8(2 t-4)(t+1)[/tex],

where h is the height in feet and t is time in seconds.  

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground,  set the equation equal to 0 and use the Zero Product Property to solve for $t$.

[tex]h=-8(2 t-4)(t+1)[/tex]

[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]

Solve the equation using the Zero Product Property.

[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]

[tex]t+1=0\Rightarrow t=-1[/tex]

So, [tex]t=-1,2[/tex]

Answer:

y = 3x -2

Step-by-step explanation:

y intercept means the point x = 0

need not be confused in that

we can get the two coordinates as

( 2, -4) and ( 0, -2)

gradient is difference of y/ difference of x

-2+-4/0-2

-6/-2 indeed its 3

so as y intercept is -2

c = -2

y = 3x - 2

Answer:

1,000 feet

Step-by-step explanation:

The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side.  (Like the letter "E").

5,000/5=1,000

Answer:

14 units.

Step-by-step explanation:

Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.

P = 2(l + w)

P = 2(3 + 4)

P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)

P = 14 units and 14 units.

You could also do addition.

P = 3 + 3 + 4 + 4

P = 6 + 8

P = 14 units

Hope this helped!

Answer:

g(4) = -7

Step-by-step explanation:

g(x) = −2x + 1.

Let x=4

g(4) = -2*4 +1

      = -8+1

     = -7

Answer:

[tex]\boxed{g(4) = -7}[/tex]

Step-by-step explanation:

[tex]g(x) = -2x+1[/tex]

Put x = 4

[tex]g(4) = -2(4)+1\\g(4) = -8+1\\g(4) = -7[/tex]

Answer:

f(x) = 28 + 10x²

For f(1) substitute 1 into f(x)

That's

f(1) = 28 + 10(1)²

= 28 + 10

f(27) = 28 + 10(27)²

= 28 + 7290

Hope this helps you

Answer:  Area of Fountain = 147/147.58

               Area of Circular path = 28.26

Step-by-step explanation:

formula for area of circle = pi x r^2

radius of fountain - [tex]\\ \sqrt{47} \\[/tex]

area= 22/7 x 47 (as [tex]\sqrt{47}[/tex] is squared)

=147

radius of circular path - [tex]\sqrt{56}[/tex]

area= 22/7 x 9 ( [tex]\sqrt{56}[/tex] is radius and [tex]\sqrt{47}[/tex] is of the fountain subtract them you'll get 9 )

=28.26

Answer:

Step-by-step explanation:

In my opinion, I beleive it's y=9 becasue the rest of the equations have x in them. bth, this is me just by looking at the equation.

Answer:

Won't they be on the same place, so 360° i think

Answer:

10 degrees

Step-by-step explanation:

Explanation:

The transformations of translation, reflection and rotation are considered rigid motions. They keep the figure the same size just it has been shifted around in some way. In contrast, a dilation will alter the size to make it larger or smaller depending on what the scale factor is.

Only choice C has "dilation" as part of the answer, so it must be the answer. The other choices are purely rigid motions that will keep the triangle the same size and shape. In other words, the preimage and image are congruent for choices A,B, and D.

Answer:

First part) measuring each plant at the same time each week

Second part) centimeters and the same

Step-by-step explanation:

Answer:

These heights could have been measured by measuring each plant at the same time each week.

The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.