(03.03) Match the number with its opposite.

Answer:

x | 0 | 1 | 2 | 3

f(x) | - 7 | 0 | 5 | 8

Step-by-step explanation:

When you reflect a point say across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). Therefore if the function f( x ) is reflected across the x - axis, it's new function would be y = - f( x ). This new function is function g, so you can also say y = - g( x ).

Given the following table ...

x | 0 | 1 | 2 | 3

f(x) | 7 | 0 | - 5 | - 8 ... we can keep the x - values constant, but take the opposite of each y - value, or " f( x ). " Doing so the new table should be the following -

x | 0 | 1 | 2 | 3

f(x) | - 7 | 0 | 5 | 8 ... note that 0 remains constant as you can't take it's opposite, it remains zero. Therefore, the function g is represented by the above table.

The values of g(x) are as follows:

x    | 0 | 1 | 2 | 3

g(x) | -7 | 0 | 5 |  8

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

As per the given data:

We are given a function f(x) and a table where the values of f(x) at different values of x is given.

The table for the values is as follows:

x    | 0 | 1 | 2 | 3

f(x) | 7 | 0 |-5 | -8

We have to find the values for the function g(x) which is obtained when f(x) is reflected about the x-axis.

When any function is reflected about the x-axis, the values of the y-axis will have their signs changed, i.e. the y-axis values will become -ve if they are positive and +ve if they are -ve.

For g(x):

x    | 0 | 1 | 2 | 3

g(x) | -7 | 0 | 5 |  8

Hence, the values of g(x) are as follows:

x    | 0 | 1 | 2 | 3

g(x) | -7 | 0 | 5 |  8

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Answer:

I'm pretty sure it's the last one that is incorrect

Step-by-step explanation:

Answer:

The first one - “line segment TA is congruent to line segment DO” is incorrect

Step-by-step explanation:

Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.  

Answer:1

Step-by-step explanation:distribute 3 through the parentheses, move variable to the left hand side and change it’s sign, move constant to the right hand side and change its sign , collect like terms , subtract the numbers and then divide .

Answer:

2/3 cups of sugar

Step-by-step explanation:

Answer:

2/3 cups of sugar

Step-by-step explanation:

If 3 cups of flour: 1 cup of sugar

2 cups of flour: x cup of sugar

Cross multiply

3x = 2 × 1

3         3

x = 2/3

My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.

Answer:

$3.96.

Step-by-step explanation:

3 cost $0.99, so 12 packs would cost 12/3 = 4 times as much.

0.99 * 4 = 3.96.

12 packs would cost $3.96.

Hope this helps!

Hello! The answer will be below! :3

The answer to your question is 3.96.

Because we have to take the info that’s given like we first have to divide.

12 divided by 3 is 4

Now we multiply.

0.99 * 4 = 3.96

So the answer is 3.96

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Answer:

450m squared

Step-by-step explanation:

bc my last answer was wrong (:

Answer:

450 m²

Step-by-step explanation:

The formula for area of a rectangle is A = lw.  You are given the length (30 m) and the width (15 m).  Plug in the numbers and solve for A.

A = lw

A = (30 m)(15 m)

A = 450 m²

The area of the rectangle is 450 m².

Answer:

y = (-1/2)x - 3

Step-by-step explanation:

Please present the equation symbolically instead of in words:

m = -1/2, passing through (4, -5):

Using the slope-intercept formula y = mx + b, and using m = -1/2, x = 4 and y = -5, we get:

-5 = (-1/2)(4) + b, or -5 = -2 + b.  Then b = -3 and the desired equation is:

y = (-1/2)x - 3

y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that a line has slope -1/2 and passes through point (4, -5)

The standard equation of a line is y = mx + c where m is the slope of the line.

Solving for c,

-5 = -1/2*4 + c

c = -3

Hence, y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

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Answer:

1.03x

Step-by-step explanation:

1 year b would be the inital investment added with interest

i believe this is the equation

b = x + r(x)= (1 + r)x

and since it says 3% each year we know its 0.03 (r)

and when you solve it out you get that answer

Answer:

1 - 9/7n

Explanation:

1/7 - 3(3/7n - 2/7)

distribute the 3 with the 2 fractions inside the parenthesis

1/7 - 9/7n + 6/7

add like terms (1/7 + 6/7)

7/7 - 9/7n

or

1 - 9/7n

Answer:

1 -9 sevenths n

step-by-step explanation:

Answer:

Your answer is A

Step-by-step explanation:

By using substitution method, we obtained the solution of equations (3, 3).

The given linear system of equations are 6x+3y=27 and 5x+2y=21.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Using substitution method we can solve given equations

6x+3y=27 can be written as 2x+y=9 ----------(I)

5x+2y=21 ----------(II)

From equation (I), we have y=9-2x

Substitute y=9-2x in equation (II), we get

5x+2(9-2x)=21

⇒ 5x+18-4x=21

⇒ x=21-18

⇒ x=3

Substitute x=3 in equation (I), we get

2(3)+y=9

⇒ y=3

Therefore, by using substitution method, we obtained the solution of equations (3, 3).

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Answer:

change your cringe username please lol

Step-by-step explanation:

jk heres the answer D, x = 2

The Value of x would be as follows:

2

Given that,

Important Equations:

[tex]-8x + 8y = 8[/tex]

(i) [tex]3x - 8y = -18[/tex]

(ii) [tex]-5x - 0 = - 10[/tex]

(iii) Solving equation

By equation

(iii) [tex]x = -10 / -5[/tex]

∵ [tex]x = 2[/tex]

Thus, [tex]2[/tex] is the value of x.

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Answer:

5 pounds of miniature chocolate and 2 butterscotch hard candies

Step-by-step explanation:

5 x $1.80 =$9 for 5 pounds of candy

2 x $1.00 =$2 for 2 pounds of candy

2 + 5 =7 pounds

7 pounds of candy using $11.00

Answer:

  y = 4

Step-by-step explanation:

The line x=8 is a vertical line. The perpendicular line will be horizontal, with a slope of 0. In order for it to go through the given point, the y-intercept must match the y-value of the point. The equation is ...

  y = 0x +4 . . . . . slope-intercept form with slope explicitly shown as 0

This simplifies to ...

  y = 4

Answer:

The prime factors of a number are all the prime numbers that, when multiplied together, equal the original number. You can find the prime factorization of a number by using a factor tree and dividing the number into smaller parts.

Step-by-step explanation:

Answer:

[tex]\boxed{(-1,4)}[/tex]

Step-by-step explanation:

The point is located in Quadrant II of the graph, where x-values are negative and y-values are positive.

Each marking on the graph represents one unit of distance. The two axes meet at the origin, where the coordinate point is equal to [tex](0,0)[/tex].

So, you can count backwards once from the origin to get your x-value ⇒ [tex]-1[/tex] and count up upwards four times from [tex]x=-1[/tex] to get your y-value ⇒ [tex]4[/tex].

Finally, place these in a coordinate point [tex](x,y)[/tex] ⇒ [tex]\boxed{(-1,4)}[/tex].

Answer:

(-1, 4)

Step-by-step explanation:

The point lies on the line x = -1.

The point lies on the line y = 4.

Where both lines intersect, that is the coordinate.

(x, y)

(-1, 4)

Answer:

..

-10 + 8× 119

= -10 + 952

= 942. .....

Answer:

236 (i think)

Step-by-step explanation:

cuz 0-10= -10+8= -2 X 119=236   (sorry if you cant read this my keyboard sucks

Answer:

420 cents or $4.20

Step-by-step explanation:

if each egg is 10 cents then

U MULTIPLY 42*10=X

420=X

SO 420 CENTS OR 4.20$

HOPE I HELPED

CAN I GET BRAINLIEST PLS?

                 -ZYLYNN

Answer:

C, 0.415

Step-by-step explanation:

Convert the fractions to decimals:

1/3 = 0.3333333...

1/2 = 0.5

So the decimal must be greater than 0.3333333... and smaller than 0.5,

from the options,

only 0.415 matches with the requirements.

Answer:

c.415

Step-by-step explanation:

1/3 = 0.333333...

1=2 = 0.5

Therefore the "c option - 0.415" as it is greater than 1/3 and lesser than 1/2

Hope ths helps....

Pls mark my ans as brainliest :)

PLS PLS PLS

I want to rank up....

Dat y pls mark my ans as brainliiest :)

Answer:

18.75%

Step-by-step explanation:

(round answer if needed)

Answer: 18.75%

Step-by-step explanation:

divide 100 by 16

100/16=6.25

6.25x3=18.75

Answer:

(2,4), (6,4), (2,-2), (6,-2)

Step-by-step explanation:

To dilate a figure multiply 2(x,y)

2(1,2)  = (2,4)

2(3,2) = (6,4)

2(1,-1) = (2,-2)

2(3,-1) = (6,-2)

Hope this helps!   Ξ

Answer:

6x^2 - 14x + 4.

Step-by-step explanation:

5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)

=  5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1

= 6x^2 - 14x + 4.

Answer:

  10

Step-by-step explanation:

  Pabp = AB +BP +AP

  Papc = AP +PC +CA

So the sum of perimeters of the two smaller triangles is ...

  Pabp +Papc = AB +BP +AP + AP +PC +CA

  = (AB +BP +PC +CA) +2AP

  = Pabc +2AP

Filling in numbers, we have ...

  30 +35 = 45 +2AP

  20 = 2AP . . . . subtract 45

  10 = AP . . . . . . divide by 2

The length of AP is 10 units.

Answer:

Reflecting over y = -1 line:

A'(8, -10)

B'(10, -8)

C'(2, -4)

Reflecting over y = -7 line:

A''(8, -4)

B'(10, -6)

C''(2, -10)

Step-by-step explanation:

Reflect the given preimage over y=−1 followed

by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

The coordinates of the preimage are:

A(8,8)

B(10,6)

C(2,2)

Answer: Reflecting over y = -1:

If a point is reflected over a y line, the x values remain the same while the y values change.

For point A(8, 8): The y distance between the y = - 1 line and point A is 9 units. (8- (-1)). If point A is reflected, the y value would be 9 units below the y = -1 line, i.e the new y coordinate would be at -10 (-1-9)

The new coordinate is at A'(8, -10)

For point B(10, 6): The y distance between the y = - 1 line and point B is 7 units. (6- (-1)). If point B is reflected, the y value would be 7 units below the y = -1 line, i.e the new y coordinate would be at -8 (-1-7)

The new coordinate is at B'(10, -8)

For point C(2, 2): The y distance between the y = - 1 line and point C is 3 units. (2- (-1)). If point C is reflected, the y value would be 3 units below the y = -1 line, i.e the new y coordinate would be at -4 (-1-3)

The new coordinate is at C'(2, -4)

Reflecting over y = -7 line:

For point A'(8, -10): The y distance between the y = - 7 line and point A' is 3 units. (-7- (-10)). If point A' is reflected, the y value would be 3 units above the y = -7 line, i.e the new y coordinate would be at -4 (-7+3)

The new coordinate is at A''(8, -4)

For point B'(10, -8): The y distance between the y = - 7 line and point B' is 1 units. (-7- (-8)). If point B' is reflected, the y value would be 1 units above the y = -7 line, i.e the new y coordinate would be at -6 (-7 + 1)

The new coordinate is at B'(10, -6)

For point C'(2, -4): The y distance between the y = - 7 line and point C' is 3 units. (-4- (-7)). If point C' is reflected, the y value would be 3 units below the y = -7 line, i.e the new y coordinate would be at -10 (-7-3)

The new coordinate is at C''(2, -10)

We can also see that h= −7−(−1)=−6. We know that two reflections is the same as a translation of 2h  units down. So 2(−6) is a translation of −12 units down.

Answer:

A is right its acute angle

Step-by-step explanation:

because supplementary is 180

therefore A +B = 180

since we know A

B = 180- A

B = 73

which is an acute angle as its less than 90

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Answer:

Step-by-step explanation:

(a) Acute

A=107 deg

B=?

given A+B=180

=> B=180-A

      = 180-107

      = 73

SO, B is an acute angle.

Answer:

98

Step-by-step explanation:

Let's say the tens place is x and the ones place is y.

The tens place is one more than the one's place:

x = y + 1

Reversing the digits, plus the original number, is 187:

(10x + y) + (10y + x) = 187

11x + 11y = 187

x + y = 17

Substituting:

y + 1 + y = 17

2y = 16

y = 8

x = 9

The number is 98.

Answer:

158m^3

Step-by-step explanation:

First, let's figure out the total amount of water in the tank.

It measures 4.5m by 6m by 8m. The volume of a rectangular prism is V=lwh.

Therefore, the volume is:

[tex]V=(4.5)(6)(8)=216 m^3[/tex]

We are told is it filled to the brim, so we can conclude that there are 216 cubic meters of water in the tank.

We used 58 cubic meters of water, so we simply need to subtract that from 216:

[tex]216m^3-58m^3=158m^3[/tex]

There is still 158 cubic meters of water left in the tank.

Answer:

158 m^3

Step-by-step explanation:

Volume of the tank

= 4.5 * 6 * 8

= 216 m^3.

So amount left in the tank

= 216 - 58

= 158 m^3.

Answer:

The Y-intercept changes .

Step-by-step explanation:

Answer:

The y-intercept changes

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides.

Option A is the correct answer.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

A parallelogram is a quadrilateral with two pairs of parallel sides.

So, option A is a valid reason for the given quadrilateral to be a parallelogram.

The other options do not necessarily hold true for all parallelograms. For example, the diagonals of a parallelogram bisect each other and are congruent, but not all quadrilaterals with bisecting diagonals are parallelograms.

Similarly, not all parallelograms have congruent diagonals or congruent opposite sides.

Thus,

A parallelogram is a quadrilateral with two pairs of parallel sides.

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