The graph of linear function g passes through the points (3, 7) and (9, 3).
Which statement must be true?
A. The graph of g passes through the point (6,-2)
B. The zero of g is -6
C. The slope of the graph is -2/3
D. The x-intercept of the graph of g is 6

see what should to do buddy :

step 1-

first we have to find the gradient of the line like this:

a ( 1 , 1 )

b ( 3 , 4 )

.

step 2-

now just need one of the a or b point to put in this equation :

.

step 3-

to find the standard form of the line we have to take the y alone.

so we add the sides of the equation plus 1.

[tex]y = \frac{3}{2}x - \frac{3}{2} + 1 \\ \\ \\ y = \frac{3}{2}x - \frac{1}{2} [/tex]

And we're done.

good luck buddy ♥️♥️♥️♥️♥️

Standard form of the line passing through points (1, 1) and (3, 4) is

y = (3 / 2)x  - (1 / 2).

"Line is a one dimensional figure which has only one dimension that is length no other dimension present in it."

Formula used

( x₁ , y₁) and (x₂ , y₂) are the two points through which line passes

[tex]\frac{x-x_{1} }{x_{2} -x_{1} } =\frac{y-y_{1} }{y_{2} -y_{1} }[/tex]

According to the question,

Given ,Line passes through points( 1, 1 )and (3,4)

Substitute the value in the formula to get standard form of line we get,

  [tex]\frac{x-1 }{3 -1} =\frac{y-1 }{4 -1 }[/tex]

⇒3(x -1) = 2(y -1 )

⇒3x -3 = 2y -2

⇒y = (3/2)x - (1/2)

Hence, standard form of the line passing through points (1, 1) and (3, 4) is

y = (3 / 2)x  - (1 / 2).

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Answer: We need more information. I can't solve this with no info.

Step-by-step explanation:

Answer:   3/10 or  (Decimal form:  0.3)

Answer:

21

Step-by-step explanation:

1.5 x 14 = 21

Answer:

14x+21

Step-by-step explanation:

:))

Answer:

y = 8 + 12x

Step-by-step explanation:

Step 1: Write equation

3x - 1/4y = -2

Step 2: Solve for y

Answer:

51 weeks

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please write points using parentheses:  (4, 5) and (-4, 8}.

​

(4, 5) is in the 1st quadrant and (-4, 8} is in the 2nd. Reversing the order of these two points yields (-4, 8) and (4, 5).  From this we can see that while moving from (-4, 8) to (4, 5) involves following a line with negative slope (because the y-coordinate decreases from 8 to 5 as the x-coordinate increases from -4 to +4).  This sloping line is the hypotenuse of a right triangle.  Draw a vertical line segment through (-4, 8) and a horizontal line segment through (4, 5).  This hypotenuse, the vertical line segment and the horizontal line segment are the boundaries of the desired right triangle.  

Answer:

B

Step-by-step explanation:

Since ∠ 1 ≅ ∠ 3 , then they are corresponding angles of the parallel lines c and d.

Answer:

1st:Arthmetic Sequence ,2nd:Geometric Sequence

Step-by-step explanation:

-9,-15,-21,-27

+6

48,24,12,6

half of 2 or divided by 2

Answer:

Possible rational roots: ±1,±5.

Actual rational roots: −1,5.

Step-by-step explanation:

The trailing coefficient (coefficient of the constant term) is −5.

Find its factors (with plus and minus): ±1,±5. These are the possible values for p.

The leading coefficient (coefficient of the term with the highest degree) is 1.

Find its factors (with plus and minus): ±1. These are the possible values for q.

Find all possible values of pq: ±11,±51.

Simplify and remove duplicates (if any), these are possible rational roots: ±1,±5.

Next, check the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x−a should equal 0.

Check 1: divide x3−3x2−9x−5 by x−1.The quotient is x2−2x−11 and the remainder is −16  

Check −1: divide x3−3x2−9x−5 by x+1.The quotient is x2−4x−5 and the remainder is 0  

So, −1 is a root.

Check 5: divide x3−3x2−9x−5 by x−5.The quotient is x2+2x+1 and the remainder is 0  

So, 5 is a root.

Check −5: divide x3−3x2−9x−5 by x+5.The quotient is x2−8x+31 and the remainder is −160  

Answer:

b. x - 2y = 4

Step-by-step explanation:

The two points on the graph are (0, -2) and (4, 0).

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

  = (0 - (-2)) / (4 - 0)

  = 2 / 4

  = 1 / 2

Find y intercept using anyone of the points above:

y = mx + b

-2 = 1/2(0) + b

b = -2

Use m and b to make equation of line:

y = mx + b

y = 1/2x - 2

Possible answers:

a. 4x - 2y = 4

         -2y = -4x + 4

             y = 2x - 2

b. x - 2y = 4

       -2y = -x + 4

           y = 1/2x - 2

c. -2x + 4y = -4

            4y = + 2x - 4

              y = 1/2x - 1

Only choice b equals the equation of line above.

Answer:

The equation is Y= -200 x -2000

Step-by-step explanation:

They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).

Answer:

Step-by-step explanation:

The equation is Y= -200 x -2000

Step-by-step explanation:

They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).

Answer:  9 mistakes

Work Shown:

15% = 15/100 = 0.15

15% of 60 = 0.15*60 = 9

Answer:9

Step-by-step explanation:

Answer:

-4/3, -0.4, 0.8, [tex]\sqrt 2[/tex], [tex]\sqrt 11[/tex]

Step-by-step explanation:

-4/3 equals -1.333(repeating)

\sqrt 2 = 1.4

\sqrt 11 = 3.3

Answer:

k = 0.5

Step-by-step explanation:

There is a proportional relationship between the amount of time in shelling peas 'x' and the weight of the peas 'y'.

Therefore, y ∝ x

⇒ y = kx

Here, k = proportionality constant

From the given table,

If family spends the time 2 minutes (x-value) in shelling 1 pound of peas (y-value),

1 = k × 2

k = [tex]\frac{1}{2}[/tex]

k = 0.5

Therefore, proportionality constant for the relationship is 0.5.

Answer:

The cube of twice a number.

Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. Thus "twice a number x" can be written symbolically as 2x. If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3.

Step-by-step explanation:

have a nice day, please give me brainliest

Answer:

I believe the answer is D.25

Step-by-step explanation:

Hope this helps!!

Answer:

Step-by-step explanation:

⅓ - (-⅔)

= 1/3 + 2/3

= 3/3

= 1

Answer:

5$ is discounted from the regular price.

Answer:

What is the question? I canno't understand this without the full question or can you include a picture please?

Step-by-step explanation:

Answer: two points

Step-by-step explanation:

The intersection of a circle and a regular hexagon can be two pints option (C) two points is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The intersection of a circle and a regular hexagon.

As we know, the polygon is a geometric figure with a finite number of sides in two dimensions.

On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

If the circle and regular hexagon will intersect on a coordinate plane then it will create two intersection points.

Thus, the intersection of a circle and a regular hexagon can be two pints option (C) two points is correct.

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Answer: -7/8

Step-by-step explanation:

counting down would be a negative (-7)

counting right would be positive (8)

Answer:

168

Step-by-step explanation

Answer

191

Step-by-step explanation:

Answer:

ex:Speed (S) is the ratio of the distance (D) covered to the time (t) taken.

That is, S = D/t

Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have

S1 = D1/t

We can then say he ran a distance

D1 = t × S1

= 3600S1

Similarly, let's say Karleigh ran a distance

D2 = t × S2

= 3600S2

Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.

Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10

D1 = 3600 × 5

= 18000

D2 = 3600 × 10

= 36000

This makes D2 bigger than D1. this is an example i found on the internet.

Step-by-

hope this helps, good luck

The ratio of the change in distance to the corresponding change in time

gives the speed of a runner.

Reasons:

The tables are;

Andrew

[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\18&&1.5\\24&&2\end{array}\right][/tex]

Karleigh

[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\30&&3\\40&&4\end{array}\right][/tex]

The duration each on the treadmills is 1 hour = 60 minutes

[tex]\displaystyle Speed = \mathbf{\frac{Change \ in \ distance}{Change \ in \ time}}[/tex]

Therefore;

[tex]\displaystyle Andrew's \ speed = \frac{2 \, miles - 1.5 \, miles}{24 \, minutes - 18\, minutes} = \mathbf{\frac{1}{12} \ mile/minute}[/tex]

[tex]\displaystyle The \ distance \ Andrew \ ran = \frac{1}{12} \ miles/min \times 60 \ min = \mathbf{5 \ miles}[/tex]

[tex]\displaystyle Karleigh's \ speed = \frac{4 \, miles - 3 \, miles}{40 \, minutes - 30 \, minutes} = \mathbf{\frac{1}{10} \, mile/minute}[/tex]

[tex]\displaystyle The \ distance \ Karleigh \ ran = \frac{1}{10} \, miles/min \times 60 \ min = \mathbf{6 \ miles}[/tex]

Therefore;

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Answer:

It's graph D

Step-by-step explanation:

Answer:

Graph D

Step-by-step explanation:

E D G E

Answer:

x=-2 or x=5

Step-by-step explanation:

trust.

Given :

The ratio of adult cats to kittens at a pet care center on Monday was 5:4 .

There were 36 kittens there that day Sunday 46 adult cats were at the Pet Care Center.

To Find :

The difference between the number of adult cats at the Pet Care Center on Sunday and Monday.

Solution :

[tex]\dfrac{\text{Number of Adult cats }}{\text{Number of kitten}}=\dfrac{5}{4}\\\\\dfrac{n}{36}=\dfrac{5}{4}\\\\n=45[/tex]

So, number of adult cats on Monday are 45.

It is given that, number of adult on Sunday are 46.

Therefore, the difference is 46-45 = 1.

Hence, this is the required solution.

Answer:

The answer is 27 your welcome

Step-by-step explanation:

Answer:

n=-2

Step-by-step explanation:

6n-1=4n-5

6n-4n=2n

2n-1=-5

-5+1=-4

2n=-4

-4/2=n

-2=n

tip:its not what you will chose from, its what number will make each side equal to each other