Match the mathematical expression with its translation.
1. the independent values, or x values
domain
2. a relation where for any given input value there is only one output value
vertical line test
3. a value substituted in for the variable in a function which generates another value (the output)
relation
4. a way of representing how the members of one group are related to the members of another group
mapping diagram
5. a group of two numbers written in an order (x, y) so that the first value represents a horizontal position and the second number represents a vertical position
function
6. a value generated by a function from another value (an input) which was substituted into the function and evaluated
ordered pair
7. the dependent values, or y values
output
8. a set of ordered pairs
input
9. a test to determine if a graph is a function; a vertical line can only go through one point on the graph to be a function
range

Answer:

p = 0, p= 1/4

Step-by-step explanation:

factor out the common term p

p(4p - 1) = 0

Answer:

we dont know 888484b484 94y48 84y

Step-by-step explanation:

we dont kbow 1298474add on to it and see rther but if not ok

Answer:

the correct answer is 1 29/42

Step-by-step explanation:

Answer:

10/21

Step-by-step explanation:

5/14×4/3 =

5 × 4 1

4 × 3=

 20/42

 20 ÷ 2

42 ÷ 2

= 10/21

Answer: 2

Step by step: I start with a long-division set-up

Looking only at the leading terms, I divide 3x3 by 3x to get x2. This is what I put on top:

x^2 up on top

I multiply this x2 by the 3x + 1 to get 3x3 + 1x2, which I put underneath:

3x^3 + 3x put down underneath the dividend

Then I change the signs, add down, and remember to carry down the "+10x – 3" from the original dividend, giving me a new bottom line of –6x2 + 10x – 3:

(3x^3 – 5x^2 + 10x – 3) – (3x^3 + 1x^2) = –6x^2 + 10x – 3

Dividing the new leading term, –6x2, by the divisor's leading term, 3x, I get –2x, so I put this on top:

(–6x^2) ÷ (3x) = –2x, which goes on top

Then I multiply –2x by 3x + 1 to get –6x2 – 2x, which I put underneath. I change signs, add down, and remember to carry down the "–3 from the dividend:

(–6x^2 + 10x –3) – (–6x^2 – 2x) = 12x – 3, which is my new last line

My new last line is "12x – 3. Dividing the new leading term of 12x by the divisor's leading term of 3x, I get +4, which I put on top. I multiply 4 by 3x + 1 to get 12x + 4. I switch signs and add down. I end up with a remainder of –7:

(12x)/(3x) = 4, 4(3x + 1) = 12x + 4, (12x – 3) – (12x + 4) = –7

This division did not come out even. What am I supposed to do with the remainder?

Think back to when you did long division with plain numbers. Sometimes there would be a remainder; for instance, if you divide 132 by 5:

132 ÷ 5: 2 × 5 = 10; put 2 on top and 10 underneath; 13 – 10 = 3; new divisor is 32; 6 × 5 = 30; put 6 on top and 30 underneath; 32 – 30 = 2; answer is 26 with remainder 2

...there is a remainder of 2. Remember how you handled that? You made a fraction, putting the remainder on top of the divisor, and wrote the answer as "twenty-six and two-fifths":

\dfrac{132}{5} = 26\,\dfrac{2}{5} = 26 + \dfrac{2}{5}

5

132

​

=26

5

2

​

=26+

5

2

​

The first form, without the "plus" in the middle, is how "mixed numbers" are written, but the meaning of the mixed number is actually the form with the addition.

We do the same thing with polynomial division. Since the remainder in this case is –7 and since the divisor is 3x + 1, then I'll turn the remainder into a fraction (the remainder divided by the original divisor), and add this fraction to the polynomial across the top of the division symbol. Then my answer is this:

\mathbf{\color{purple}{\mathit{x}^2 - 2\mathit{x} + 4 + \dfrac{-7}{3\mathit{x} + 1}}}x

2

−2x+4+

3x+1

−7

​

Answer:

When the price of a good that complements a good decrease, then the quantity demanded of one increases and the demand for the other increases. When the price of a substitute good decreases, the quantity demanded that good increases, but the demand for the good that it is being substituted for decreases.

Answer:

[tex]\sqrt{49}[/tex]

Step-by-step explanation:

[tex]\sqrt{49} =7[/tex]

The square root of 49, which is the greatest perfect square that is less than 55.

A perfect square that is the nearest, greater perfect square to [tex]\sqrt{49}[/tex] is [tex]\sqrt{64}[/tex].

There are no other perfect squares in between [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex] there are only decimals.

Therefore, [tex]\sqrt{49}[/tex] is your answer.

Proof:

[tex]7^{2} =49[/tex]

[tex]8^{2}=64[/tex]

Answer:

2

f(x)= -x + 1

2

g(x) = -x + 6x +5

2

h(x)= +ax + bx -c ( its form should be like that )

Answer:

Diagram not visible!

Step-by-step explanation:

You must ask question again; then, the rightful person may help you.

Good day to you!

Answer:

the letter is answer F

Step-by-step explanation:

Hope this is good

Answer:

Step-by-step explanation:

slope intercept form: y = mx + b ............where m is slope and b is y-intercept

1st question:

4x + y = 1

y = 1 - 4x

y = -4x + 1

2nd question:

x + 2y = 9

2y = 9 -x

y = (-x + 9)/2

y = [tex]-\frac{1}{2}x + 4.5[/tex]

Answer:

r=4

Step-by-step explanation:

Slope=change in y/change in x

r-(-4)/-1-3=-2

r+4=-2*-4

r=4

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: g ≤ −2

Step-by-step explanation:

Answer:

y= 43

x= 37

Step-by-step explanation:

Legs: (43 x 4) + (37 x 2) = 248

Heads: 43 + 37 = 80

Answer:

under root 10 will be possible

( 3y )²

By using the concept of equation of a Straight line,we arrive to the conclusion that the equation of the straight line which cuts off intercepts -5 and 3 on X-axis and Y-axis respectively is 5x - 3y + 15 = 0.

Interception is the point where any line or curve crosses the axis.If the point of crossing line in x-axis then it is known as x-intercept .Similarly, if the point lies on y-axis is is named as y-intercept.

Here,according to the quesion:

x-intercept of the line is,a= -5

y-intercept of the line is,b= 3

The equation of the line here by formed with intercepts is:

[tex]x/a +y/b =1[/tex]

therefore x/(-5) + y/3 =1

                - 5x+3y = 15

                  5x -3y+ 15=0

So,the equation of the mention line is   5x -3y+ 15=0

To learn more about Straight line,

https://brainly.com/question/31693341

Answer:

150 ft²

Step-by-step explanation:

If you take that triangle and place it on the other side you get a normal rectangle and can just multiply 15 By 10

Answer:

A. 1/2 has still to be put in the pool, if we already have 7500 litres in the pool and that's half we need 7500 more which is another half.

B. if 7500 is half the amount that can fit in the pool it means that when the pool is full there are 15000 litres of liquid in the pool meaning that if there is barely 5000 litres we are barely 1/3 of the way done. but if the question is asking if we add 5000 to the 7500 already in the pool we will have 12500 out of the 15000 required to fill the pool, this fraction simplified would be 5/6

Answer:

18 sales

Step-by-step explanation:

1020-300=720

720/40

=18 sales in that particular  week

Answer:

Step-by-step explanation:

Translating:

Please help

I believe you want me to factor it, so:

( x + 1/2 )^2 + ( a - 2 )^2 - 14/2

Answer:

[tex]x=a+1,\:x=-a-3[/tex]

Step-by-step explanation:

Remove parenthesis:

[tex]x^2+2x-a^2-4a-3=0[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-a^2-4a-3\right)}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \:2\left(a+2\right)}{2\cdot \:1}[/tex]

[tex]x_1=\frac{-2+2\left(a+2\right)}{2\cdot \:1},\:x_2=\frac{-2-2\left(a+2\right)}{2\cdot \:1}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=a+1,\:x=-a-3[/tex]

Answer:

6

Step-by-step explanation:

each tomato=4

7-4=3 so each avocado is 3

5-3=2 so each lime is two

so 4+2=6

Answer:

6

Step-by-step explanation:

Tomato + tomato = 8  ⇒  tomato = 4

Avocado + tomato = 7 ⇒  Avocado = 7 - 4 = 3

Avocado + Lemon = 5  ⇒  Lemon = 5 - 3 = 2

Therefore, Lemon + tomato = 2 + 4 = 6

Answer:

420 calories is your answer.

Step-by-step explanation:

If half of it is 140 we know that the other half is 140, so the full thing of ice cream is 380. So 1 cup is 380, and half is 140. 380+140 = 420. So 1 1/2 = 420 calories. Could i get brainliest :D

Answer:

Table and graph attached

Step-by-step explanation:

Hope this helps :)

Answer:

No

Step-by-step explanation:

To check if 2 expressions are equal to each other you can set them equal to each other. If, after you simplify, the equation is true, then they are equal. If it is not, then the expressions are not equal.

3(4x-2)=12x-2

12x-6=12x-2

12x=12x+4

0=4

The statement 0=4 is not true. This means that the expressions are not equal.

Answer:

40

Step-by-step explanation:

the mean is 40 because you add all the numbers then divide them by however many numbers there are.

Answer:

I believe that it is 812 tiles.

Step-by-step explanation:

Answer:

812 tiles

Step-by-step explanation:

28 feet by 29 feet is 812, each tile is 1 square foot. This means that there are 812 tiles.

Algebraic expression for each statement in terms of w would be:

Each pencil will cost: w/5.

A pen will cost: w/5 + 0.35

Number of pencils 20 dollars will buy = w/5 = 20/5 =4 pencils.

Algebraic expression in mathematics is an expression that is made up of variables, constant, and mathematical symbols, which can be used to represent a statement.

Thus:

Let w represents the price for 5 pencils.

Each pencil will cost: w/5.

A pen will cost: w/5 + 0.35

a. cost in dollars for a pen = w/5 + 0.35

b. Number of pencils 20 dollars will buy = w/5 = 20/5 =4 pencils.

Learn more about algebraic expression on:

https://brainly.com/question/12470265

Answer:

b = 35

Step-by-step explanation:

Use the butterfly method (Cross multiply):

b × 13 = 13b

65 × 7 = 455

So you would have:

13b = 455

Divide both sides by 13.

You will get b = 35

Hope this helps!

Answer: b=35

Step-by-step explanation:

[tex]\frac{b}{65}=\frac{7}{13}[/tex]

Multiply both sides by 65:

[tex]\frac{65b}{65}=\frac{7\cdot \:65}{13}[/tex]

[tex]b=35[/tex]

Answer:

Subtract 7

Step-by-step explanation:

18 - 7 = 11

15 - 7 = 8

9 - 7 = 2

Hope this helps!

Answer:

subtract 7

Step-by-step explanation:

Ex: 18 to 11

18-7=11

Ex: 15 to 8

15-7=8