How do I isolate the y variable?
[tex]x = \frac{2y + 4}{3} [/tex]
​

Answer:

6 chicken sandwiches to 4 veggie sandwiches

Step-by-step explanation:

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Answer:

It creates a positive integer.

Step-by-step explanation:

Integers are whole number which could be negative or positive. Examples are; 2, 3, -1, -7 -5 etc.

Whenever an integer is squared, a positive integer is created. For example, let us consider integers; 3, 4, -3 and -4.

[tex](3)^{2}[/tex] = 3 × 3 = 9

[tex](-3)^{2}[/tex] = -3 × -3 = 9

Also,

[tex](4)^{2}[/tex] = 4 × 4 = 16

[tex](-4)^{2}[/tex] = -4 × -4 = 16

Therefore, the square of an integer creates a positive integer.

Answer:

The correct option is;

The variable x has a coefficient

Step-by-step explanation:

The given vertex form of a quadratic function and the quadratic function can be written as follows;

Vertex form of a quadratic function, f(x) = (3·x + 1/3)² + 8/9

The quadratic function, f(x) = 9·x² + 2·x + 1

The vertex form of a quadratic function f(x) = a·x² + b·x + c is f(x) = a·(x - h)² + k

Where;

h = -b/(2·a) = -2/(2×9) = -1/9

k = f(h) = f(-1/9) = 9 × (-1/9)² + 2 × (-1/9) + 1 = 8/9

Which gives the vertex form a s f(x) = 9·(x - (-1/9))² + 8/9

f(x) = 9·(x + 1/9)² + 8/9

Therefore,  f(x) = (3·x + 1/3)² + 8/9 is not the vertex form of f(x) = 9·x² + 2·x + 1 because the variable x has a coefficient.

Answer:

A statement, also known as an axiom, which is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived.

Step-by-step explanation:

The Addition Postulate: If you have one apple and Sally has one apple, when you both add the same quantity to your existing number of apples, you'll still have the same number of apples. Using algebra, the postulate states:

If x = y, then x + 4 = y + 4

The Subtraction Postulate: If you have ten apples and Sally has ten apples, when you both subtract the same quantity of apples from your existing number of apples, you'll still have the same number of apples.

If x = y, then x - 3 = y - 3

Without being repetitive, these same principles apply to both multiplication and division.

The Multiplication Postulate: If x = y, then x * 3 = y * 3

The Division Postulate: If x = y, then x / 7 = y / 7

Answer:

suggest or assume the existence, fact, or truth of (something) as a basis for reasoning, discussion, or belief.

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

​​-

Answer:

5/12 - 1/6

Step-by-step explanation:

Took the diagnostic

Answer:

C.) 7√2/2

Step-by-step explanation:

tan¤ = opp/adj

tan 45° = y/7√2/2

1 = y/7√2/2

1 = 2y/7√2

7√2 = 2y

2y = 7√2

y = 7√2/2

NOTE: ¤ = Theta

Step-by-step explanation:

A transformation may be defined as taking a basic function and then changing it slightly with the predetermined methods.  This changes will cause the required graph of that function to shift, move or stretch, which depends on the type of the transformation.

For example:

Let a function be : [tex]$f(x)= B^x$[/tex]

For any constants m and n, the function [tex]$f(x)= B^{x+m}+n$[/tex]  shifts the parent function.

- vertically n units and in same direction of the sign of n.

- horizontally m units and towards the opposite direction of the sign of m.

- The y-intercept becomes ([tex]$0, b^m+n$[/tex])

- The horizontal asymptote becomes y = n.

- the reflection about x -axis becomes [tex]$f(x)=- B^x$[/tex]

Answer:

A

Step-by-step explanation:

Your answer is 5670 m

1km=1000m

5.67km=5.67×1000

=5670m

hope this helps

Answer:

5670

Step-by-step explanation:

Answer:

Step-by-step explanation:

Difference = New temperature - original temperature

                  = -12 - (18)

                 = - 30

New temperature is 30° less than the original temperature

Answer:

               Yes, it is.

Step-by-step explanation:

For each x we get y, and no two xes give the same y

Answer:  x²−9

Step-by-step explanation:

A square number is obtained ehen we multiply a number to itself.

For example: 5 × 5 = 5² = 25 [It is a square number]

We can do this in expression too, For example: z×z =z²

From all the given options, only x²−9 has both terms as square.

∵ x² = x × x

and 9 = 3×3= 3²

So that,  x²−9  =(x)²-(3)²

Hence, the correct option is x²−9.

Answer:

2 ( n + 2 ) ( n + 1 2 )

Step-by-step explanation:

coefficient of the first term:  

2 = 2 × 1

coefficient of the last term:  

2 = 2 × 1

coefficient of the middle term (using only the factors above):  

5 = 2 × 2 + 1 × 1

2 n 2 + 5 n + 2 = ( 2 n + 1 ) ( n + 2 )

Alternative method:

Treat the given expression as a quadratic set equal to zero, with the form

a n 2 + b n + c

and use the quadratic formula

− b ± √ b 2 − 4 a c 2 a

This will given solutions

n = − 2  and  n = − 1 2

for a factoring

2 ( n + 2 ) ( n + 1 2 )

Hope this helped

Answer:

Hi! You already have the percentage of the nickel to the nearest hundredth, you just need to move to the left once to get to the tenth. That would mean the answer is 8.3%! Easy as that.

Answer:

8.3%

I just took the test

2cos pi/13 cos 9pi/13+ cos 3pi/13 +cos 5pi/13

=cos 10 pi/13 +cos 8 pi/13 +cos 3pi/13 +cos 5pi/13

=cos 10 pi/13 +cos 3pi/13 +cos 8pi/13 +cos 5pi/13

=2 cos pi/2 .cos 7 pi/26 +2 cos pi/2 .cos 3 pi /26

=2 (0)cos 7 pi /26 + 2(0) cos 3pi/26

=0 =R.H.S.

Answer:  see proof below

Step-by-step explanation:

Use the following identities:

2cos x · cos y = cos(x + y) + cos(x - y)

cos x + cos y = 2 cos (x + y)/2 · cos(x - y)/2

Use the Unit Circle to evaluate: cos(π/2) = 0

Proof LHS → RHS

[tex]\text{LHS:}\qquad \qquad \qquad 2\cos \dfrac{9\pi}{13}\cos \dfrac{\pi}{13}\quad +\quad \cos \dfrac{3\pi}{13}+\cos \dfrac{5\pi}{13}\\\\\text{Identity:}\qquad \quad \cos\bigg(\dfrac{9\pi}{13}+\dfrac{\pi}{13}\bigg)+ \cos\bigg(\dfrac{9\pi}{13}-\dfrac{\pi}{13}\bigg)+\quad \cos\bigg(\dfrac{3\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)[/tex]

[tex]\text{Simplify:}\qquad \qquad \cos\bigg( \dfrac{10\pi}{13}\bigg)+\cos \bigg(\dfrac{8\pi}{13}\bigg)+\qquad \cos\bigg(\dfrac{3\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)[/tex]

[tex]\text{Regroup:}\qquad \qquad \cos\bigg( \dfrac{10\pi}{13}\bigg)+\cos \bigg(\dfrac{3\pi}{13}\bigg)\quad +\quad \cos\bigg(\dfrac{8\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)[/tex]

[tex]\text{Identity:}\qquad 2\cos \bigg(\dfrac{10\pi+3\pi}{13\cdot 2}\bigg)\cdot \cos \bigg(\dfrac{10\pi-3\pi}{13\cdot 2}\bigg)+\quad 2\cos\bigg(\dfrac{8\pi+5\pi}{13\cdot 2}\bigg)\cdot \cos\bigg(\dfrac{8\pi-5\pi}{13\cdot 2}\bigg)[/tex]

[tex]\text{Simplify:}\qquad 2\cos \bigg(\dfrac{13\pi}{26}\bigg)\cdot \cos \bigg(\dfrac{7\pi}{26}\bigg)+\quad 2\cos\bigg(\dfrac{13\pi}{26}\bigg)\cdot \cos\bigg(\dfrac{3\pi}{26}\bigg)\\\\\\.\qquad \qquad =2\cos \bigg(\dfrac{\pi}{2}\bigg)\cdot \cos \bigg(\dfrac{7\pi}{26}\bigg)+\quad 2\cos\bigg(\dfrac{\pi}{2}\bigg)\cdot \cos\bigg(\dfrac{3\pi}{26}\bigg)\\\\\\\text{Factor:}\qquad =2\cos\bigg(\dfrac{\pi}{2}\bigg)\bigg[ \cos \bigg(\dfrac{7\pi}{26}\bigg)+ \cos \bigg(\dfrac{3\pi}{26}\bigg)\bigg][/tex]

[tex]\text{Unit Circle:}\quad 2(0)\bigg[ \cos \bigg(\dfrac{7\pi}{26}\bigg)+ \cos \bigg(\dfrac{3\pi}{26}\bigg)\bigg][/tex]

Product of Zero         0

LHS = RHS:      0 = 0  [tex]\checkmark[/tex]

Answer:

50

Step-by-step explanation:

Follow the graph and the bricks go up by 50 per 1 layer

For 1 layer 50 bricks, for 2 layers 100 bricks, for 3 layers 150 bricks, and for 4 layers he uses 200 bricks.

The graph for a straight line is called the linear graph in the linear graph the increment of the data for both the axes is constant so it gave a linear relationship.

As we can see in the graph there is a relationship between the number of bricks and the layers of the bricks.

Therefore, for 1 layer 50 bricks, for 2 layers 100 bricks, for 3 layers 150 bricks, and for 4 layers he uses 200 bricks.

To know more about linear graphs follow

https://brainly.com/question/14323743

#SPJ2

Answer:

6 candies

Step-by-step explanation:

The sentences "Ethan and his guests spent the first half...time for the guests to go home at 4:30 pm" are extra information because they don't relate to the problem, therefore, we can ignore them. We know that Ethan had 48 pieces of candy and that 8 guests came to his party. Since each guest got an equal amount of candy, to find the answer, we can do 48 / 8 = 6 candies.

Answer:

D. 10

Step-by-step explanation:

9+4=13

x+3=13

x=10

The value of x is 10 which is correct option (D).

Angles of Intersecting Secants Theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs.

Given that,

Length of CW = 9 units,

Length of WV = 4 units,

Length of WU = 3 units,

Length of TW = x units,

⇒ Length of CW + Length of WV = Length of CV

⇒ 9 + 4

⇒  13

⇒ Length of TW + Length of WU = Length of CV

⇒ x + 3 = 13

⇒ x = 10 - 3

⇒ x = 10

Hence, the value of x is 10 which is correct option (D).

Learn more about Secants theorem here:

brainly.com/question/12453038

#SPJ5

Answer:

the transformed function becomes: g(x) = 5 x - 30

Step-by-step explanation:

When the function f(x) = x is shifted down by a factor of 6 we have the following transformation:

f(x) --> x - 6

After this, a vertical stretch by a factor of 5 should affect the full functional expression in the following way:

5 ( x - 6) = 5 x - 30

Therefore the transformed function becomes: g(x) = 5 x - 30

Answer:

25

Step-by-step explanation:

For each problem, the two numbers on the left are perfect squares. The number in the upper right is the square of the difference between the two numbers on the left. The number on the bottom right is equal to the number on the upper right plus the number on the upper left.

For problem 16, we know that the square of the difference between 36 and the missing number is 121. The square root of 121 is 11, so the missing number is 36 - 11 = 25 which fits the pattern because it is also a perfect square.

(Also if you look at problem 15, it basically gives you the answer to problem 16.)

Answer:

See below

Step-by-step explanation:

The upper left box and the bottom left box are being subtracted. When the result is obtained we square it and the squared answer is written in the top right box. After that , the squared answer and the top left answer are added to get the bottom left answer.

See the attached file.

0.2017 this is the answer i got

Answer:

0.02179

Step-by-step explanation:

8.5÷390 = 0.02179

Options:

A.0.25 centimeter = 3 kilometers

B.0.4 centimeter = 8 kilometers

C.0.75 centimeter = 15 kilometers

D.3 centimeters = 60 kilometers

E.6 centimeters = 144 kilometers

Answer:

B, C, D

Step-by-step explanation:

Distance between the two locations :

On map = 0.75 centimeter

Actual = 15 km

Using the scale drawing notation :

On map : actual

0.75 cm : 15 km

Therefore,

Actual / on map

15 / 0.75 = 20

This means :

1 cm on map represents 20 km on land

0.25 cm on map = (20 * 0.25) = 5 kilometers

0.4 cm on map = (20 * 0.4) = 8 kilometers

0.75 cm on map = (20 * 0.75) = 15 kilometers

3 cm on map = (20 * 3) = 60 kilometers

6 cm on map = (20 * 6) = 120 kilometers

Hence, only options B, C and D are correct

Answer:

b,c,d are correct.

Step-by-step explanation:

just shortened the answer above me°∪°

Answer:

The first derivative of [tex]r(t) = 5\cdot t^{-2}[/tex] (r(t)=5*t^{-2}) with respect to t is [tex]r'(t) = -10\cdot t^{-3}[/tex] (r'(t) = -10*t^{-3}).

Step-by-step explanation:

Let be [tex]r(t) = \frac{5}{t^{2}}[/tex], which can be rewritten as [tex]r(t) = 5\cdot t^{-2}[/tex]. The rule of differentiation for a potential function multiplied by a constant is:

[tex]\frac{d}{dt}(c \cdot t^{n}) = n\cdot c \cdot t^{n-1}[/tex], [tex]\forall \,n\neq 0[/tex]

Then,

[tex]r'(t) = (-2)\cdot 5\cdot t^{-3}[/tex]

[tex]r'(t) = -10\cdot t^{-3}[/tex] (r'(t) = -10*t^{-3})

The first derivative of [tex]r(t) = 5\cdot t^{-2}[/tex] (r(t)=5*t^{-2}) with respect to t is [tex]r'(t) = -10\cdot t^{-3}[/tex] (r'(t) = -10*t^{-3}).

Answer:

Total cost of dinner = P + 0.15p = 23

Step-by-step explanation:

Consider the information provided.

The cost of dinner at a restaurant is $P.

The tip offered for the service was, $0.15p.

The total of the cost of dinner and the tip offered for the service is:

T = P + 0.15p = 23

Answer:

y^3z^4

Step-by-step explanation:

y*y*y*z*z*z*z

y*y*y=y^3

z*z*z*z=z^4

Together,

y^3z^4

Hope this helps ;) ❤❤❤

Answer:

your answer is A, y³ z⁴

Step-by-step explanation:

it was correct for me.

Answer:

Step-by-step explanation:

A discount of 40% was allowed on the price

To find the price after the discount first calculate the discount and subtract it from the original price

That's

[tex] \frac{40}{100} \times 7000[/tex]

= 2800

So the price after the discount is

#7000 - #2800

Which is

Hope this helps you

Answer:

x = -9/4

Step-by-step explanation:

x/3 - 2 = - 11/4

Add 2 to each side

x/3 - 2+2 = - 11/4+2

Get a common denominator on the right

x/3 = -11/4 + 8/4

x/3 = -3/4

Multiply each side by 3

x/3*3 = -3/4 *3

x = -9/4

Answer:

[tex]$ x= -\frac{9}{4} $[/tex]

Step-by-step explanation:

[tex]$\frac{x}{3} - 2 = -\frac{11}{4} $[/tex]

[tex]$\frac{x}{3} -\frac{6}{3} = -\frac{11}{4} $[/tex]

[tex]$ \frac{x-6}{3} = -\frac{11}{4} $[/tex]

Multiply both sides by 3

[tex]$ x-6 = -\frac{33}{4} $[/tex]

[tex]$ x= -\frac{33}{4} + 6$[/tex]

[tex]$ x= -\frac{33}{4} + \frac{24}{4} $[/tex]

[tex]$ x= -\frac{9}{4} $[/tex]

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]x(t)=sin(t)\\\\dx=cos(t)dt\\\\\text{For x = }\dfrac{1}{\sqrt{2}}=\dfrac{\sqrt{2}}{2} \text{ we have } t = \dfrac{\pi}{4}[/tex]

So, we can write.

[tex]\displaystyle \int\limits^{\dfrac{1}{\sqrt{2}}}_0 {\dfrac{1}{\sqrt{1-x^2}}} \, dx =\int\limits^{\dfrac{\pi}{4}}_0 {\dfrac{cos(t)}{\sqrt{1-sin^2(t)}}} \, dt\\\\=\int\limits^{\dfrac{\pi}{4}}_0 {\dfrac{cos(t)}{\sqrt{cos^2(t)}}} \, dt\\\\=\int\limits^{\dfrac{\pi}{4}}_0 {\dfrac{cos(t)}{cos(t)}} \, dt \\\\=\int\limits^{\dfrac{\pi}{4}}_0 {1} \, dt\\\\=\large \boxed{\sf \bf \dfrac{\pi}{4}}[/tex]

Thank you

Answer:  [tex]\bold{\dfrac{\pi}{4}}[/tex]

Step-by-step explanation:

Note the following integral formula:   [tex]\int\limits^a_b {\dfrac{1}{\sqrt{1-x^2}}} \, dx =\sin^{-1}(x)\bigg|^a_b[/tex]

We can rationalize the denominator to get: [tex]\dfrac{1}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)=\dfrac{\sqrt2}{2}[/tex]

*************************************************************************************

[tex]\int\limits^{\frac{\sqrt2}{2}}_0 {\dfrac{1}{\sqrt{1-x^2}}} \, dx \\\\\\=\sin^{-1}(x)\bigg|^{\frac{\sqrt2}{2}}_0\\\\\\= \sin^{-1}\bigg(\dfrac{\sqrt2}{2}\bigg)-\sin^{-1}(0)\\\\\\=\dfrac{\pi}{4}-0\pi\\\\\\=\large\boxed{\dfrac{\pi}{4}}[/tex]

Answer:

A= -1 B=10

Step-by-step explanation:

Answer:

a: -1

b: 10

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