Why does 3-(x+1)=3-x-1? Use the distributive property.

Answer:

Rachel can make 3/6 out of 4/6 of the recipe.

Step-by-step explanation:

The amount of the recipe that Rachel can make is 1/2.

To determine how much of the recipe Rachel can make with 1/2 cup of yogurt, we need to find the fraction of the recipe that corresponds to that amount.

The recipe calls for 2/3 of a cup of yogurt, and Rachel has 1/2 cup. To compare these two amounts, we need to find a common denominator.

The least common denominator (LCD) for 3 and 2 is 6. To convert the fractions to have a denominator of 6, we multiply the numerator and denominator of 2/3 by 2, and the numerator and denominator of 1/2 by 3:

2/3 x 2/2 = 4/6

1/2 x 3/3 = 3/6

Now, we can see that Rachel has 3/6 cup of yogurt, which is equivalent to 1/2 cup. This means she has exactly half of the required amount.

Therefore, Rachel can make 1/2 of the recipe with the amount of yogurt she has.

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Answer:

C

(4)+8 = 3(4)

12=12

Step-by-step explanation:

Answer: C

Step-by-step explanation:

f(x) = x² and g(x) = x + 1

This is composite function, i.e function of a function

g(f(x)) = g(x²), since f(x) = x²

f(-2) = (-2)² = 4

g(f(-2)) = g(4) = 4 + 1 = 5

Answer:

A

Step-by-step explanation

Answer:

You're only showing the first option...

Answer:

Below in bold.

Step-by-step explanation:

A. We can calculate the slope using (y2 - y1) / (x2 - x1)

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

=  5/-5

= -1.

So the given slope of 3 or one of the points is NOT correct.

B. If the point (1, 3 ) and the slope are correct then the equation  for the line  (using the point-slope form) is y - 3 = 3(x - 1)  

C Another point on this line would be , when x = 0 , y = 3*-1 + 3 = 0

so it's (0, 0)

D. If the given points are correct the slope is ( as above) =  -1.

E. The equation for this line is

y - 3 = -1(x - 1)

y = -x + 1 + 3

y = 4 - x.

Answer:

The distributive property is to multiply the outside of a parenthesis by each term inside, for example:

[tex]x(y+z)=xy+xz[/tex]

this cannot be done with the trigonometric functions such as the sine.

An example of this:

let's prove that we don't get the correct result using the distributive property in the following expression:

[tex]sin (\pi+\pi/2)[/tex] ≠ [tex]sin(\pi)+sin(\pi/2)[/tex]

We add the elements in the parentheses on the left side:

[tex]sin(3\pi/2)[/tex]  ≠ [tex]sin(\pi)+sin(\pi/2)[/tex]

this are known values of the sine function:

[tex]sin(3\pi/2)=-1[/tex]

[tex]sin(\pi)=0[/tex]

[tex]sin(\pi/2)=1[/tex]

substituting these values we will get that:

-1  ≠ 0 +1

-1  ≠ 1

Thus we notice that we don't get the correct result using the distributive property.

The correct way to express the angle sum in the sine function is:

[tex]sin(a+b)=sin(a)cos(b)+sin(b)cos(a)[/tex]

Answer: Linear pair

Step-by-step explanation:

They are a linear pair because

1) their angles add up to be 180 so complementary is out

2) they aren't vertical of each other so vertical angles is out

And 3) they aren't adjacent angles

Answer:

C

Step-by-step explanation:

Answer:

1 or 4/4

It is certain that the spinner will land on a number less that 5 because the selections are labeled 1 to 4 and the numbers 1 to 4 are less than 5.

Answer:

d it adds the two up and only mutiplys terris amount.

Answer:

(–5, 5)

Step-by-step explanation:

Start with the x-axis (left and right).

-5 so you go to the left by 5 steps.

Next is y-axis (up and down).

Without moving your spot in -5, you move up by 5 steps.

That is point F.

Tip: (x-axis, y-axis) or (left/right, up/down)

Negative number: Left or Down

Positive number: Right or Up

Answer:

Say the first car speed as r

Second car speed will be r-14

Since rate times time equal distance, we have

r + (r -14)2 = 300

2r -14 = 300/2

2r = 150+14

r = 164/2 = 82

Speed of slower car 82-14 = 68 km/hr

Answer:

Hope this is correct

Answer:

r = 18

Step-by-step explanation:

Subtract the seven from both sides

25 -7 = 7 - 7 + r

18 = r

Simple as that!

Hope this helps!

The solution of the given equation is 18.

The given equation is 25=7+r.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Transpose 7 to other side of the equation, we get

r=25-7

r=18

Therefore, the solution of the given equation is 18.

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Answer:

(n-2)(n+2)

Step-by-step explanation:

The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.

 (n^2 -4) = (n -2)(n +2)

Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...

 (n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2

This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).

If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).

Answer:

B

Step-by-step explanation:

11 13 18 19 22 25 29 32 37 37 38

find the median (25)

with 11,13,18,19,22 find the middle for that (18) Q1

with 29,32,37,37,38 find the middle for that (37)Q3

Q3-Q1

37-18=19

Answer:

B

Step-by-step explanation:

Answer: C 5

Step-by-step explanation:  if you look up a 3D picture and count the sides you will get the anwserif THE BIG 5

Answer:

150.6

Step-by-step explanation:

It is quite simple. Do you see the word "of" in there? That indicates that you have to multiply. All you have to do is multiply 1/4 by $602.40, and you will find your answer. You could figure it out on a sheet of paper but I recommend using a calculator.

Answer:

mean absolute deviation

Answer:

tanΘ = - [tex]\frac{24}{7}[/tex]

Step-by-step explanation:

Given

cosΘ = [tex]\frac{7}{25}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]

The right triangle has sides 7, 24, 25 ← Pythagorean triplet

with adjacent = 7 and opposite = 24

Since position is in fourth quadrant then tanΘ < 0 , thus

tanΘ = - [tex]\frac{24}{7}[/tex]

Answer:

It will take a lot of time and effort to bring the stuff from the truck to the building

Step-by-step explanation:

Hope that's the kind of answer you wanted

Answer:

Please i think the question is not complete

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cost of two tubes = $ 3.23

Regular price of one tube = $ 1.79

so, the cost of other tube = 3.23 - 1.79 = $ 1.44

Discount = 1.79 - 1.44 = $ 0.35

Answer

b.) The measure of the central angle is equal to 360°.

Step-by-step explanation:

The car is moving on a rough road with a constant velocity. Hence, its acceleration is zero. As per Newton 's second law of motion, no net force is acting on ...

The true statement is The measure of the central angle is less than 180°.

The correct option is (A)

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

If the central angle is less than 180 degrees then the sector is known as a minor sector.

The definition of the minor sector also says that "the central angles of a minor sector is less than 180"

Hence, The central angle of a minor sector is less than 180° is true.

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Answer:

A, B, D

Step-by-step explanation:

Answer:

B. D. A.

all of these answers i typed down are true and correct

Answer:

The correct answer is y = -3x + 1.

Step-by-step Explanation:

First, you need to use the point slope formula to determine the slope. This is determined by the formula of the second y-coordinate (the y-coordinate in the second ordered pair) minus the first y-coordinate (the y-coordinate in the first ordered pair).

When subtracting the two values, you receive 7 - -5. You would use the KCC (keep, change, change) rule and keep positive 7, change the minus to addition, and turn negative 5 into positive 5. This gives you a value of 12.

Then, you use the same formula layout for the x-coordinates. Take the x-coordinate in the second ordered pair and subtract the x-coordinate in the first ordered pair to get -2 - 2 = -4.

Finally, to determine the slope, divide 12 and -4 to get -3.

Then, to get the y-intercept placed at the end, you will need to substitute the coordinate values from one of the ordered pairs into the equation y = -3x + b. I chose to use the first ordered pair, so:

-5 = -3(2) + b (Multiply the slope by x to earn the new value)

-5 = -6 + b (Add the -6 to the -5 to isolate the b)

1 = b (b = 1) (Learn that b = 1)

Your final equation will be y = -3x + 1.

Answer:

The equation is y = -3x + 1.

Step-by-step explanation:

First, you have to find the gradient of the equation using the formula :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Let (x1,y1) be (-2,7),

Let (x2,y2) be (2,-5),

[tex]m = \frac{ - 5 - 7}{2 - ( - 2)} [/tex]

[tex]m = \frac{ - 12}{4} [/tex]

[tex]m = - 3[/tex]

Next, we have to use the slope-form equation y = mx + b where m is gradient and b is constant. So we have to find the value of c by substituing any coordinates into the equation :

[tex]y = - 3x + b[/tex]

Let x = 2,

Let y = -5,

[tex] - 5 = - 3(2) + b[/tex]

[tex] - 5 = - 6 + b[/tex]

[tex]b = 6 - 5[/tex]

[tex]b = 1[/tex]

Answer:

Your Answer is 21

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