6. Explain why (4, 1) is not a solution to the equation y=3x + 1.

Answers

Answer 1

Answer:

x is 4 and y is 1

So we put 3 x 4 + 1

if it's equal 1 (since y is 1)

but in this case it equals 13 so it's wrong

Answer 2

Answer:

see explanation

Step-by-step explanation:

to determine if (4, 1 ) is a solution of the equation, substitute the x and y coordinates into the equation and if both sides are equal then it is a solution.

y = 3(4) + 1 = 12 + 1 = 13 ≠ 1

since y ≠ 13 then (4, 1 ) is not a solution to the equation


Related Questions

What is 4 gal 6 qt 112 oz in standard notation?

Answers

The value of 4 gal 6 qt 112 oz expressed in standard notation is; 6.375

How to express in Standard Notation?

Standard notation of a number is defined as when a number is written with only number digits. This is the typical way to write numbers since words are not used in standard number notation.

Now, from conversions, we know that;

1 oz = 0.0078125 gallons

1 qt = 0.25 gallons

Thus, 4 gal 6 qt 112 oz expressed in gallons is;

4 + (6 * 0.25) + (112 * 0.0078125)

= 4 + 1.5 + 0.875

= 6.375

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What is the expanded form of nine billion, eight hundred ninety-two million, eight hundred forty-six thousand, four hundred thirty-seven?

Answers

Answer:

9, 892, 846, 437

Step-by-step explanation:

9 billion = 9,000,000,000

8 hundred million = 800, 000, 000

9 ten million = 90, 000, 000

2 million = 2, 000, 000

8 hundred thousand = 800, 000

4 ten thousand = 40, 000

6 thousand = 6000

4 hundred = 400

3 ten = 30

7 one = 7

Add them all together = 9, 892, 846, 437

Hope this helped! ^^

A(6-1) , В(2,3)
help pls

Answers

Use x and y coordinate separately for distance.

Sqrt{ (6-2)^2 + (-1-3)^2 }
Sqrt(32)

4sqrt(2)

A soccer coach purchased one goal and some soccer balls for the team. The expression 180 + 15x represents the cost before tax. What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. cost of goal total cost of soccer balls

Answers

The meaning of the terms and factors in the expression are

180 ⇒ cost of goal15x ⇒ total cost of soccer ballsx ⇒ Number of soccer balls180 + 15x ⇒ total cost of soccer balls and goal

How to determine what the different parts of the expression model represents?

The expression is given as

180 + 15x

The above expression can be split as follows:

180 15xx180 + 15x

The meaning of the above terms and factors are

180 ⇒ cost of goal15x ⇒ total cost of soccer ballsx ⇒ Number of soccer balls180 + 15x ⇒ total cost of soccer balls and goal

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Identify the segment bisector of
__
XY

Answers

The segment bisector of line segment XY is line n.

The length of the line segment XY is 6 units.

How do you define the line segment?

A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.

A line segment's length can be measured in metric units including such millimeters and centimeters, or in customary units such as feet or inches.A bisector is a line that separates a straight line or perhaps an angle into two equal parts. A segment's bisector always contains the segment's midpoint.

As per the given diagram in the question.

It is clear that the line segment XY is being divided by another line named n.

Thus,

The two segment of the line segment XY must be equal.

XM = MY

Substitute the values from the diagram;

5x + 8 = 9x + 12

Simplifying;

4x = -4

x = -1

Put the values in each segment;

XM = 5x + 8

XM = 5(-1) + 8

XM = 3 units.

Put the value in MY

MY = 9x + 12

MY = 9(-1) + 12

MY = 3 units.

As, it is clear from above values that the both segment are equal of 3 units each.

XY = XM + MY

XY = 3 + 3 = 6

Therefore, the value of XY is 6 units.

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2 + (-5) = ? I can't figure this out

Answers

Answer:

Step-by-step explanation:

2 + (-5)

just like subtracting

2-5

=-3

Answer:

-3

Step-by-step explanation:

I have had this question before, and -3 is the answer.

If the measure of A is 28 less than three times the measure of B. A and B are a linear pair. Find the measure of A and B.

Answers

Measure of linear pair A and B are 86 and 38 respectively.

Let the measure of  B = x

And measure of  A = 3x – 28

As  A and B are linear pair. Therefore their sum will be equal to 180

That is numerically,

      A + B = 180

Putting the required values of A and B we will get

     3x – 28 + x = 180

      4x  = 180-28

       4x = 152

        x = 38

Hence the measure of A = 3*38 – 28 = 86

And the measure of B = x = 38

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Melody picks a number. She triples the number, squares the result, divides the square by 2, subtracts 30 from the quotient, and gets 42. What are the possible numbers that Melody could have picked?

Answers

The possible numbers that Melody could have picked are -4 and 4.

The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".

Given, Let x be the number Melody had chosen.

Thus, tripling the number will give 3x, and

squaring this will result to (3x)² which is equals to 9x².

Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:

9x²/2 ₋ 30 = 42

9x²/2 = 42 ₊ 30

9x²/2 = 72

9x² = 72 × 2

9x² = 144

x² = 144/9

x² = 16

x = ±√16

x = ±4

x = ₊4 or x = 4

hence melody could have picked ₊4 or ₋4 numbers.

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Rectangle A measures 6 cm by 4 cm. Rectangle B is a scaled copy of rectangle A. Select all of the measurements that could be the dimensions of rectangle B

Answers

The scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .

It is required to find the measurements that could be the dimensions of rectangle B.

What is rectangle?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given :

Length=6 cm

width=4cm

According to given question we have,

Divide the length and the width of the rectangle we get=

k=Length/width

k=6/4

k=1.5

This means that a scaled copy of rectangle A must have a value of 1.5

when the dimensions are divided.

Possible rectangles are:

A. 12cm by 8cm

Divide the length and the width of the rectangle we get,

k=12/8

k=1.5

B. 48cm by 32cm

Divide the length and the width of the rectangle we get,

k=48/32

k=1.5

Therefore, the scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .

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(a)-534° is found in quadrant

Answers

Answer: Quadrant 3

Step-by-step explanation:

Hard to explain.

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

g(x) = (x – 2)2 + k
g(x) = (x + 8)2 + k
g(x) = (x – h)2 – 5
g(x) = (x – h)2 – 15

Answers

If the axis of symmetry for g(x) is located 2 units to the right of the origin, then the function g(x) = (x-2)2 +k describes this relationship. The best choice would be A in this case.

What exactly is a function?

The function is a statement, rule, or law that specifies the connection between one variable and another variable. It does this by comparing and contrasting the two variables.

Functions may be found almost everywhere, and creating links between physical objects requires their use.

Given

The answer to the question f(x) is.

(x+3)^2 -10

The left side by three units serves as the axis of symmetry for the function f(x).

The axis of symmetry for g(x) may be found five units to the right of where f is located (x).

If this is the case, the axis of symmetry for g(x) will be found 2 units to the right of the origin.

After that, the expression for g(x) will be g(x) = (x-2)2 +k.

Therefore, option A is the one to choose.

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ITS DUEE TODAY PLEASEDE

Answers

Answer:

scale factor from A to B = 3

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original

scale factor = [tex]\frac{9}{3}[/tex] = 3 ( measure of horizontal sides )

I'm looking for the solution and answer, thanks :)

Answers

The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The function is given below.

f(x) = 7 / (x + 5)

The difference quotient in the form [f(x) - f(a)] / (x - a) will be

[tex]\rm \rightarrow \dfrac{f(x) - f(a)}{x - a}\\\\\rightarrow \dfrac{\frac{7}{x + 5} - \frac{7}{a + 5}}{x - a}\\\\\rightarrow \dfrac{7 \left ( \frac{a + 5 - x - 5}{(x + 5)(a + 5)} \right )}{x - a}\\\\\rightarrow \dfrac{7(a - x)}{(x - a)(x + 5)(a + 5)}[/tex]

Further, simplify the expression, then we have

⇒ - 7 / (x + 5)(a + 5)

The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].

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Estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019 = A) 40,000 B) 41,000 C) 20,000 D) none of the above

Answers

The estimation of the value is A. 40000.

How to calculate the value?

Based on the information, we are to estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019.

It should be noted that 18789 to the nearest ten thousand is 20000.

Also, 19019 to the nearest ten thousand will be 20000.

Therefore, the addition will be:

= 20000 + 20000

= 40000

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Students on a campus of a college in California were asked "What will most likely help you to succeed in
college?" The results of this survey are tabulated below.
Reason
have a good roommate
study hard
live on campus
supportive family
always go to class
have a goal in mind
other
(a) What is the relative frequency for the reason "study hard"? (Write your answer as a fraction.)
Answer:
Frequency
583
620
187
163
558
645
439
(b) What is the relative frequency for the reason "have a goal in mind"? (Write your answer as a fraction.)
Answer:

Answers

Using it's concept, the relative frequencies are given as follows:

a) 124/639

b) 43/213

What is a relative frequency?

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

For this problem, the number of students is:

583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195.

620 responded study hard, hence the relative frequency is given as follows:

620/3195 (simplifying by 5)

124/639

645 responded goal in mind, hence the relative frequency is given as follows:

645/3195 (simplifying by 5)

129/639 (simplifying by 3)

43/213

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Help on this question please

Answers

the parameter!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What is 51 rounded to the nearest tenth subtracted by 20?

Answers

51 to the nearest tenth is 50, so 50-20=30 hope that helps


6 less the quantity 9 times a number

Answers

Answer:

6-9x

Step-by-step explanation:

Converted from word to standard form.

Hope it helps!

Please help me simplify

Answers

Step-by-step explanation:

3×3^2 is 27 so 27+8÷2 is 31 -(4+3) the answer is 24:)

Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each. How many containers can she fill?

Answers

She will need 11 containers.

How to calculate the fraction?

From the information, Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each.

The containers needed will be:

= 8 ÷ 3/4

= 8 × 4/3

= 32/3

= 11

He will need 11 containers.

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Alexandra is creating a video game. Every time the main character jumps in the game, the image follows a translation using the coordinate rule
(
x
,

y
)

(
x
+
4
,

y
+
9
)
. If the main character is located at
(

5
,

0
)
, what will the new location be after a jump? (
,
)

Answers

Using translation concepts, the new location after the jump will be at (9,9).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The translation rule for this problem is:

(x,y) -> (x + 4, y + 9).

Which means that the coordinates move 4 units right and 9 units up.

The initial position is:

(5,0).

Hence the final position is:

(5,0) -> (5 + 4, 0 + 9) = (9,9).

The new location after the jump will be at (9,9).

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33. How many 3-cup servings are in 4 cups? A. 2 B. 3 C. C. 4 D. 12​

Answers

b would be yo best choice here bc a c b doesn’t make sense


d + 9 = 35 6th grade

Answers

26 is the answer, you just subtract 9 from 35 and you get 26

Answer:

D = 26

Step-by-step explanation:

All you have to do is subtract 35 by 9, which is 26.

So,

26 + 9 = 35

The ratio of two numbers is 8:7. The product of these numbers is 896. What is the smaller of these two
numbers?

Answers

Answer:

  28

Step-by-step explanation:

You want the smaller of the two factors of 896 that have the ratio 8:7.

Setup

Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...

  x(8/7)x = 896

  (8/7)x² = 896

Solution

Multiplying by the inverse of the coefficient of x², we have ...

  x² = (7/8)(896) = 784

  x = √784 = 28 . . . . . . . . take square root

The smaller of the two numbers is 28.

__

Additional comment

The larger is (8/7)(28) = 32.

find the area of the figure. use 3.14 for pi

Answers

Answer:

38.13 m²

Step-by-step explanation:


area of triangle = 1/2 base × height

                          = 1/2 × 4 × 3

                          = 6 m²


Area of rectangle = length ×  width

                             = 6 × 3

                             = 18m²


Area of semi circle = 180/360 × π × radius²

                               = 180/360 × 3.14 × 3²

                               = 14.13 m²


Add all the areas together


6 + 18 + 14.13 = 38.13

Solve the nonlinear inequality. Expr
x³-9x>0
(-3,0) U (3,00)
Graph the solution set.

How would I graph this on a number line ?

Answers

Answer:

x∈(-3;0)∪(3;+∞).

Step-by-step explanation:

1) if to solve the inequality x³-9x>0, then

x(x-3)(x+3)>0, and solution is

x∈(-3;0)∪(3;+∝).

2) the graph is provided in the attachment (it is marked with red colour).

can someone help me with this

Answers

A AND C ARE THE ANSWERS

6300 and 530. The value of 3

Answers

Answer:

300 and 30 respectively

Step-by-step explanation:

The 3 in each number can be valued at 3 with the same number of 0s as there are digits to the right of the 3.

For example, in 6300, the 3 stands for 300 because there are two digits (0 and 0) to the right of 3. So we know 3 stands for 300 because we add two 0s to the right of 3.

Do the following ordered pairs correspond to a function? {(2,3), (2,4), (3,5), (4,6), (5,7)} and why?

Answers

Answer:

No

Step-by-step explanation:

The x-value of 2 maps onto two values of y, 3 and 4, meaning the relation is not a function.

it's due by 12 am. please help as soon as possible

Answers

Answer:

Step-by-step explanation:

25. 5 < x < 7

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