Please help!!
Thank you

The functions whose graphs include the point (4,1) are y = (1/4)x and y = x - 3

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

To check whether a point is on the graph of a function, we can substitute the coordinates of the point into the equation of the function and see if the equation is true.

Substituting (4, 1) into each of the functions, we get:

A: y = 2x -> 1 = 2(4) = 8 (false)

B: y = (1/4)x -> 1 = (1/4)(4) = 1 (true)

C: y = x + 12 -> 1 = 4 + 12 = 16 (false)

D: y = x - 3 -> 1 = 4 - 3 = 1 (true)

E: y = x^2 -> 1 = 4^2 = 16 (false)

Therefore, the functions whose graphs include the point (4,1) are y = (1/4)x and y = x - 3

To learn more on slope intercept form click:

https://brainly.com/question/9682526

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Answer:

The sample system is given below:

see the attached for the graph

The points (1, 2) and (4, -3) are in the intersected region but the point (-2, 8) is outside

Try asking your teacher's different methods!! Best of luck!

Answer:

Step-by-step explanation:

TU/26=(TU+24)/(26+39)

TU/26=(TU+24)/65

65TU=26TU+624

39TU=624

TU=16

Answer:

Step-by-step explanation:

3(-2)-15+2 = -6-15+2 = -21+2 = -19

Answer: -19

Step-by-step explanation:

3(-2)-15+2

Multiply the 3 and -2 because of the parenthesis first:-6-15+2

Next just put the negative numbers together:-21+2

Then just do -21+2=-19

Answer:

350:75?

fraction form: 350/70  

Step-by-step explanation:

Answer:

(2x+2y+7)(x+y+7)

Step-by-step explanation:

I suspect this is what you are expected to do.

Define z=x+y

2z^2+9z+7

2z^2+2z+7z+7

2z(z+1)+7(z+1)

(2z+7)(z+1)

(2x+2y+7)(x+y+7)

Answer:

C) x = -2 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

3x² + 12x - 9 = 0

divide through by 3

x² + 4x - 3 = 0

add 3 to each side

x² + 4x = 3

divide 4 in half and square it; add it to each side of equation

x² + 4x + 4 = 3 + 4

(x + 2)² = 7

x + 2 = [tex]\sqrt{7}[/tex]

x = -2 ± [tex]\sqrt{7}[/tex]

Answer:

D. a + 2 = 5

Step-by-step explanation:

apples + 2 more = 5 total

Answer:

SAS for similarity

Step-by-step explanation:

I can tell you from this is that ∠TUS ≅ ∠WUV, because they are vertical angles.

The triangles cant be congruent by SSS, SAS, or ASA because the sides are not equal.

However, they are similar because 45/15 = 3 and 36/12 = 3. That would be the SAS for similarity.

Answer:

hmm...Umm not sure what that is You are talking about

Answer:

which equation?? mmmmm.........

Answer:

7x+5

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

150x.46=69

or

46% of 100= 46

half of 100 is 50

46% of 50 =23

23+46=69

════════ ∘◦❁◦∘ ════════

════════════════════

U1 = 9

r = 2

════════════════════

U6 = ?

════════════════════

[tex]un = a(r {)}^{n - 1} [/tex]

[tex]u6= 9(2 {)}^{6 - 1} [/tex]

[tex]u6 = 9( {2}^{5} )[/tex]

[tex]u6 = 9(32)[/tex]

[tex]u6 = 288[/tex]

════════════════════

• Formula of geometric sequence

[tex]\boxed{\ un = a( {r)}^{n - 1}} [/tex]

• Meaning

Un = nth term

a = 1st term

r = ratio

════════════════════

Answer:

the meaning of 1, 1.5 is that 1.5 is the oil sad and the 1 is the vinegar.

Step-by-step explanation:

Answer:

3/4 i think

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

slope=(y_2-y_1)/(x_2-x_1)

slope=(6-3)/(7-3)

slope=(3)/(4)

slope=0.75

Step-by-step explanation:

16x^2 - 4

4(4x²-1)

4((2x)²-1²)

4(2x+1)(2x-1)

Answer should be,

4(2x + 1)2

Hope this helps! Good luck!

Answer:

8.96

Step-by-step explanation:

Answer:

I don't speak Spanish so sorry can't help

Answer:

x to the power of -7/3

Step-by-step explanation:

2- 6× = 16

2-16= 6x

-14=6x

-14÷6=6x÷6

-7/3=x

Answer:

[tex] \frac{ - 6x}{ - 6} = \frac{14}{ - 6} [/tex]

cevap x=

[tex] \frac{14}{ - 6} [/tex]

-7

----

3

Answer: there is a greater number for 59 with 5 tenths places but i'm sure what the other part of the answer could be but I gave you a few hints to this problem and I hope this helps you well.

Have a great weekend and the rest of your day.

Answer:

3 and 4!!

hope this helps!!!

Answer:

Mean:8

Median:8.5

Mode:9,4

Step-by-step explanation:

Mean Steps:

mean(5,9,7,12,6,4,10,8,14,9,4)

To find the mean of the set 5,9,7,12,6,4,10,8,14,9,4 first add the members together.

5+9+7+12+6+4+10+8+14+9+4=88

The mean (average) of the set 5,9,7,12,6,4,10,8,14,9,4 is found by dividing the sum of its members by the number of the members, in this case 11.

88/11 = 8

Mode Steps:

Mode(5,9,7,12,4,10,8,14,9,4)

The mode of a set is the value that appears most often. The mode can have more than one value if two or more values appear the same number of times and more times than any other values in the set.

mode(5,9,7,12,4,10,8,14,9,4)

Putting the numbers in order can make it easier to find the mode because values that appear more than once will be next to each other.

4,4,5,7,8,9,9,10,12,14

In this case the mode has more than one value because 9 and 4 both appear 2 times, more often than any other values.

mode(4,4,5,7,8,9,9,10,12,14)=9,4

Answer:

[tex]-1.5x - 3.5y =- 31.5[/tex]

Step-by-step explanation:

Given

AB: [tex]-7x + 3y = -21.5[/tex]

[tex]PQ(x_1,y_1) = (7,6)[/tex]

Required

Determine the equation of PQ

First, we calculate the slope of AB:

[tex]-7x + 3y = -21.5[/tex]

Make 3y the subject

[tex]3y = 7x - 21.5[/tex]

Make y the subject

[tex]y = \frac{7}{3}x - \frac{21.5}{3}[/tex]

An equation has the general form:

[tex]y = mx + b[/tex]

Where m = slope

So:

[tex]m = \frac{7}{3}[/tex] -- Slope of AB

From the attached diagram, we can see that PQ is perpendicular to AB.

This means that, the relationship between their slope is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Substitute 7/3 for m1

[tex]m_2 = -\frac{1}{7/3}[/tex]

[tex]m_2 = -\frac{3}{7}[/tex]

The equation of PQ is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = m_2 = -\frac{3}{7}[/tex]

and

[tex]PQ(x_1,y_1) = (7,6)[/tex]

So, we have:

[tex]y - 6 = -\frac{3}{7}(x - 7)[/tex]

Multiply both sides by 7

[tex]7(y - 6) = -\frac{3}{7}(x - 7)*7[/tex]

[tex]7y - 42 = -3(x-7)[/tex]

Open bracket

[tex]7y - 42 = -3x + 21[/tex]

Collect Like Terms

[tex]3x + 7y = 42 + 21[/tex]

[tex]3x + 7y = 63[/tex]

Divide through by -1/2

[tex]-\frac{1}{2}(3x + 7y) = -\frac{1}{2}*63[/tex]

[tex]-1.5x - 3.5y =- 31.5[/tex]

The equation of PQ is: [tex]-1.5x - 3.5y =- 31.5[/tex]

Answer:

B. -1.5x − 3.5y = -31.5

Step-by-step explanation:

Got it right on the test. ; )

Answer:

29107

Step-by-step explanation:

Every next 'level', a ring of balls is added.

The ring has 6 sides of n balls, but you would then count all 6 corners double, so you have to subtract 6.

So Bₙ = Bₙ₋₁ + 6n - 6

This gives you a sequence of 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, ...

All the way up to 29107 at 100 balls.