Write an expression that has two terms. Your expression should have a variable and a constant.

Answers

Answer 1
Answer: Quite simply: 2+x


A constant is simply a number, something that does not change: here it's "2"

A variable can chage: here it's "x" - anything can be substituted for x


If we put those two together with a "+" sign, we get an expression: variables or contants (including multipled ones: such as 2x, which is a term) added to each other or subtracted from each other

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Una máquina llena 4 baldes de helado en 30 minutos, funcionando siempre a la misma velocidad Si ante un corte de luz, solo funcionó durante 45 minutos, ¿cuántos baldes habrá llenado?

Answers

Answer:

La máquina llenó:

6 baldes

Step-by-step explanation:

Por regla de tres:

4 baldes son a 30 minutos

M baldes son a 45 minutos

M = 45*4/30

M = 180/30

M = 6

What is 121.06 in expanded form

Answers

121.06=100+20+1+0.06\n\n=1\cdot10^2+2\cdot10^1+1\cdot10^0+0\cdot10^(-1)+6\cdot10^(-2)

A camp stove that was $175.99 is now $155.99. what percent discount are you getting?

Answers

your getting a $20 dollar discount

22 . The figure is reflected across line m and then reflected across line n. What is the resulting transformation?A) glide reflection
B) rotation
C) reflection
D) translation

24 . The waiter places a bowl of soup in front of Abbey. In a counterclockwise direction, she passes the soup to Kai who then passes it to Haifa. Which two rotations about the center of the table describe passing the soup?
A) first 72° and then 108°
B ) first 40° and then 60°
C) first 80° and then 120°
D) first 60° and then 90°

25. 
The waiter places a bowl of soup in front of Lacy. In a counterclockwise direction, she passes the soup 90°. The person receiving the soup passes it 30°. After the two passes, the soup is in front of which person?
A) Garret
B) Darcy
C) Igor
D) Haifa

28. What are the coordinates of the vertices of the triangle under the translation (x, y) ---> (x - 1, y - 3)
A)(0, -8), (-1, -1), (-5, -4)
B) (-8, 0), (-1, -1), (-4, -5)
C) (5, -4), (0, 0), (5, 4)
D) 
(-4, 5), (0, 0), (4, 5)

29.
What is the reflection image of P(0, 0) after two reflections, first across x = -3 and then across y = 4?
A) (-8, -6)
b) (4, -3)
C) (4, -6)
D) (-6, 8)

Answers

Answer:

22) (B)

24) (D)

25) (D)

28) (B)

29) (D)                

Step-by-step explanation:

22) Firstly, the figure is reflected across line m and then the figure is reflected across line n.

The resultant figure is a rotated figure of original figure

(B)  Rotation

24) Since there are 12 people sitting in a circle

Total circular angle = 360°

Angle between two people = 360/12 = 30°

Therefore, from Abbey to Kai there are 2 people between them. Hence, angle covered = 60°

From Kai to Haifa there are 3 people.

Angle covered = 90°

(D) is correct

25) Lacy passes the soup in 90° counterclockwise and then 30°.

Now soup is in front of Haifa.

(D) is correct

28)  

Coordinates are ((0,2) -----> (x-1,y-3) = (-1,-1)

(-7,3) -------------> (x-1,y-3) = (-8,0)

(03,-2) --------> (-4,-5)

(B) is correct

Reflection of P(0,0) across x= -3, gives the point( -6,0)

And reflection across y=4, gives the point (0,8)

Together the reflected point is P(-6,8).

(D) is correct

22.\nAnswer:B\n\n\n24.\n\alpha=360^o:12=30^o\n\nAbbey-Kai\to2\cdot30^o=60^o\n\nKai-Haifa\to3\cdot30^o=90^o\n\nAnswer:D


25.\n\alpha=360^o:12=30^o\n\nLacy+90^o\to(90^o:30^o=3)\to Igor\n\nIgor+30^o\to(30^o:30^o=1)\to Haifa\n\nAnswer:D


28.\n(x;\ y)\to(x-1;\ y-3)\n\n\vec{a}=[-1;-3]\n\nA(-3;-2)\to A'(-3-1;-2-3)\to A'(-4;-5)\n\nB(0;\ 2)\to B'(0-1;\ 2-3)\to B'(-1;-1)\n\nC(-7;\ 3)\to C'(-7-1;\ 3-3)\to C'(-8;\ 0)\n\nAnswer:B


29.\nP(0;\ 0)\n\n\Downarrow S_(x=-3)\n\nP'(-6;\ 0)\n\n\Downarrow S_(y=4)\n\nP''(-6;\ 8)\n\nAnswer:D

Solve the equation for x -x*2-10x+24=0

Answers

Answer:

x=-12        x =2

Step-by-step explanation:

-x^2-10x+24=0

Divide by -1

x^2 +10x -24 = 0

Factor

What 2 terms multiply to -24 and add to 10

12 * -2 = -24

12 -2 = 10

(x+12) ( x-2) = 0

Using the zero product property

x+12 =0    x-2 =0

x=-12        x =2

The answer is x=-12 an x=2

If f and t are both even functions, is f 1 t even? If f and t are both odd functions, is f 1 t odd? What if f is even and t is odd? Justify your answers.

Answers

If the f(x) and t(x) are even function then fo\ t\ (x) is an even function, if f(x) and t(x) are odd function then the function fo\ t\ (x) is an odd function and if f(x) is even and t(x) is odd then the function fo\ t\ (x) is an even function.

Further explanation:

An even functrion satisfies the property as shown below:

\boxed{f(-x)=f(x)}

An odd functrion satisfies the property as shown below:

\boxed{f(-x)=-f(x)}

Consider the given composite function as follows:

\boxed{fo\ t\ (x)=f\left(t(x))\right}

If both the function f(x) and t(x) are even function.

\begin{aligned}fo\ t\ (-x)&=f\left(t(-x))\right\n&=f\left(t(x))\right\n&=fo\ t\ (x)\end{aligned}

From the above calculation it is concluded that,

\boxed{fo\ t\ (-x)=fo\ t\ (x)}

This implies that the composite function fo\ t\ (x) is an even function.

If both the function f(x) and t(x) are odd function.

\begin{aligned}fo\ t\ (-x)&=f\left(t(-x))\right\n&=f\left(-t(x))\right\n&=-fo\ t\ (x)\end{aligned}

From the above calculation it is concluded that,

\boxed{fo\ t\ (-x)=-fo\ t\ (x)}

This implies that the composite function fo\ t\ (x) is an odd function.

If the function f(x) is even and t(x) is odd.

\begin{aligned}fo\ t\ (-x)&=f\left(t(-x))\right\n&=f\left(-t(x))\right\n&=fo\ t\ (x)\end{aligned}

From the above calculation it is concluded that,

\boxed{fo\ t\ (-x)=fo\ t\ (x)}

This implies that the composite function fo\ t\ (x) is an even function.