Evaluate
9
g
+
2
h
+
5
g
9
​
+2h+5start fraction, 9, divided by, g, end fraction, plus, 2, h, plus, 5 when
g
=
3
g=3g, equals, 3 and
h
=
6
h=6h, equals, 6.

The values of a, h and k for the  given quadratic function are:

a = -6, h = -5 and k = -1

What is vertex form?

This is one way of writing a quadratic function:

f(x) = a(x-h)² +k

(h, k) = vertex

a = vertical stretch

According to the given question:

We're given:

f(x)= -6x² - 60x - 151

To write a quadratic function in vertex form, we must complete the square.

⇒ Put parentheses around the first two terms containing x and x²:

f(x)= (-6x² - 60x) - 151

⇒ Factor out -6 (keeping the x's in the parentheses):

f(x)= -6(x² + 10x) - 151

⇒ To complete the square, add, inside the parentheses, the square of half the coefficient of x.

⇒ In this case, the coefficient of x is 10.

⇒ Half of this value is 5.

⇒ The square of 5 is 25.

⇒ Add this inside the parentheses:

f(x) =  -6(x² + 10x + 25) - 151

⇒ Now, we cannot randomly introduce a new value into a function. To balance the +25, subtract -6(25) outside the parentheses:

f(x) =  -6(x² + 10x + 25) - 151 - (-6 x 25)

f(x) =  -6(x² + 10x + 25) - 151 - (-150)

f(x) =  -6(x² + 10x + 25) - 151 + 150

f(x) =  -6(x² + 10x + 25) - 1

⇒ Finally, complete the square.

Remember: (a + b)² = a² + 2ab + b²

In this case, a is x, and b is 5:

f(x) = -6(x + 5)² - 1

On comparing with f(x) = a(x-h)² +k we get the values of a, h and k as:

a = -6

h = -5

k = -1

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We will not be able to figure out the price of one can of each type of canned food in the same manner of operating on two equations.

This is because the equation are identical.

Let the dog food be represented by d.

Let the cat food be represented by c.

Since Carlos buys 4 cans of dog food and 6 cans of cat food for $12.00. This will be:

4d + 6c = 12

This cane b reduced to lowest term as 2d + 3c = 6

Then the next week, he purchased 2 cans of dog food and 3 cans of cat food for $6.00. This will be:

2d + 3c = 6

Since the equations are the same, we can't calculate the price.

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Answer: 12/15

Step-by-step explanation:

The answer for this equation is true.

Putting x=-4 and y=-1,

12(-4) + 9(-1) = -48-9= -57 which is smaller than 1.

What is an equation?

In mathematics, an equation is a formula that expresses equality by connecting two expressions with an equal sign. Equations and their cousins ​​in other languages ​​may have subtly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English any well-formed expression consisting of two expressions joined by an equal sign is an equation.

To solve an equation involving variables, it is necessary to determine which values ​​of the variables make the equation true. The variables for which the equation must be solved are also called unknowns, and the values ​​of the unknowns that satisfy the equation are called the solution of the equation. There are two types of equations: identities and constraints. The ID applies to all values ​​of the variable. Constraint expressions apply only to specific values ​​of variables.

Therefore, The answer for this equation is true.

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Answer:

y= x +4

Step-by-step explanation:

2 point form : y -20 = x- 16

slope intercept form: y = x + 4

Hi!

The parrot starts off knowing 60 phrases at time 0.

This is the y intercept, it occurs at x = 0

A point is (x, y)

at 0, the line is equal to 60

the y intercept is (0, 60)

Each night, the parrot learns one bad phrase.  

Equation of a line given y intercept and slope is

y = mx + b

y (answer of equation)  = m (slope) x(input of equation) + b (y intercept)

Slope is 1 because every time a day passes, it learns a new phrase.

y = 1x + 60

y = x + 60

Hope this helps,

Jeron

Answer:

2/5

Step-by-step explanation:

The required linear function is

f(x) = -2x+ 7

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Let the linear function f(x) = ax + b

f(0) = 7

a [tex]\times[/tex] 0 + b = 7

b  =7

f(x) = ax + 7

f(3) = 1

3a + 7 = 1

3a = 1 - 7

3a  = -6

a = [tex]-\frac{6}{3}[/tex]

a = -2

The given linear function is

f(x) = -2x+ 7

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Answer:

4

Step-by-step explanation:

it's the best because of my friend its the greatest factor

Answer:

x = 45y + 650/2

Step-by-step explanation:

20x - 45y = 650

20x - 45y + 45y = 650 + 45y

20x = 650 + 45y

20x/20 = (650 + 45y)/2

x = 45y + 650/2

Thus, The value of x is 45y + 650/2

Answer:

-3

Step-by-step explanation:

3 times negative 1 is -3 since a positive times a negative is a negative

hopes this helps

You plant a tree in early spring. When you planted a tree it was 2 feet tall. The tree grows at a constant rate. Every year it grows ⅔ feet.

The spring season is the season of the year that occurs between winter and summer which is characterized by a gradual increase in temperature.

From the graph given in the diagram above, the X axis represents the number of years while the y axis represents the height of the trees in feet.

From the table, when X is 0; Y is 2. This means that when the tree was planted, it was 2 feet tall.

Also from the table, if after every 3 years the tree = 4 feet which is 2 feet difference from start. It then means that each year would be ;

3 years = 2 feet

1 year = 2/3 feet

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The value of matrix multiplication is

a)    [tex]C = \begin{pmatrix}14&20\\ 32&46\end{pmatrix}[/tex]

b)  [tex]C = \begin{pmatrix}7&35\\ 8&42\end{pmatrix}[/tex]

c)  [tex]C = \begin{pmatrix}22&32\\ 26&38\end{pmatrix}[/tex]

d)  [tex]C =\begin{pmatrix}-3&-5\\ 34&52\end{pmatrix}[/tex]

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

a)

Let the first be A

[tex]A = \left[\begin{array}{ccc}1 &2 \\ 3 & 4 \\\end{array}\right][/tex]

Let the second matrix be B

[tex]B = \left[\begin{array}{ccc}4 &6 \\ 5 & 7 \\\end{array}\right][/tex]

Now , the product of matrices A and B is C

where the matrix C is A x B

[tex]C = \begin{pmatrix}1\cdot \:4+2\cdot \:5&1\cdot \:6+2\cdot \:7\\ 3\cdot \:4+4\cdot \:5&3\cdot \:6+4\cdot \:7\end{pmatrix}[/tex]

On simplifying the matrix C , we get

[tex]C = \begin{pmatrix}14&20\\ 32&46\end{pmatrix}[/tex]

Therefore , the value of matrix is  [tex]C = \begin{pmatrix}14&20\\ 32&46\end{pmatrix}[/tex]

b)

Let the first matrix be A

[tex]A = \left[\begin{array}{ccc}3 &5 \\ 4 & 6 \\\end{array}\right][/tex]

Let the second matrix be B

[tex]B = \left[\begin{array}{ccc}-1 &0 \\ 2 & 7 \\\end{array}\right][/tex]

Now , the product of matrices A and B is C

where the matrix C is A x B

[tex]C = \begin{pmatrix}3\left(-1\right)+5\cdot \:2&3\cdot \:0+5\cdot \:7\\ 4\left(-1\right)+6\cdot \:2&4\cdot \:0+6\cdot \:7\end{pmatrix}[/tex]

On simplifying the matrix C , we get

[tex]C = \begin{pmatrix}7&35\\ 8&42\end{pmatrix}[/tex]

Therefore , the value of matrix is [tex]C = \begin{pmatrix}7&35\\ 8&42\end{pmatrix}[/tex]

c)

Let the first matrix be A

[tex]A = \left[\begin{array}{ccc}4 &6 \\ 5 & 7 \\\end{array}\right][/tex]

Let the second matrix be B

[tex]B = \left[\begin{array}{ccc}1 &2 \\ 3 & 4 \\\end{array}\right][/tex]

Now , the product of matrices A and B is C

where the matrix C is A x B

[tex]C = \begin{pmatrix}4\cdot \:1+6\cdot \:3&4\cdot \:2+6\cdot \:4\\ 5\cdot \:1+7\cdot \:3&5\cdot \:2+7\cdot \:4\end{pmatrix}[/tex]

On simplifying the matrix C , we get

[tex]C = \begin{pmatrix}22&32\\ 26&38\end{pmatrix}[/tex]

Therefore , the value of matrix is  [tex]C = \begin{pmatrix}22&32\\ 26&38\end{pmatrix}[/tex]

d)

Let the first matrix be A

[tex]A = \left[\begin{array}{ccc}-1 &0 \\ 2 & 7 \\\end{array}\right][/tex]

Let the second matrix be B

[tex]B = \left[\begin{array}{ccc}3 &5 \\ 4 & 6 \\\end{array}\right][/tex]

Now , the product of matrices A and B is C

where the matrix C is A x B

[tex]C = \begin{pmatrix}\left(-1\right)\cdot \:3+0\cdot \:4&\left(-1\right)\cdot \:5+0\cdot \:6\\ 2\cdot \:3+7\cdot \:4&2\cdot \:5+7\cdot \:6\end{pmatrix}[/tex]

On simplifying the matrix C , we get

[tex]C =\begin{pmatrix}-3&-5\\ 34&52\end{pmatrix}[/tex]

Therefore , the value of matrix is  [tex]C =\begin{pmatrix}-3&-5\\ 34&52\end{pmatrix}[/tex]

Hence , the matrix multiplication is solved and the results are given

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Answer: five beers' worth of alcohol in a bottle of wine.

Step-by-step explanation:

In order to have an equivalent amount of alcohol as red wine, we would need to consume approximately 6 bottles of beer.

To determine how many bottles of beer need to be consumed in order to have an equivalent amount of alcohol as red wine, we can compare the alcohol content in both beverages.

The red wine has a volume of 750 ml and an alcohol content of 12%. This means that the red wine contains 750 ml x (12/100) = 90 ml of alcohol.

The beer has a volume of 330 ml and an alcohol content of 5%. This means that each bottle of beer contains 330 ml x (5/100) = 16.5 ml of alcohol.

To find the number of beer bottles needed to match the alcohol content of the red wine, we divide the total amount of alcohol in the red wine by the amount of alcohol in one beer bottle:

The number of beer bottles:

90 ml / 16.5 ml = 5.45

Since we can't have a fraction of a beer bottle, we round up to the nearest whole number.

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The distance between UFO and KA-12 is 1229.7 Km

Given,

Satellites KA-12 and SAL-11 have spotted a UFO.

Distance between Satellites KA-12 and SAL-11 = 900 km

Angle between UFO and SAL-11 = 60°

Angle between UFO and KA-12 = 75°

We have to find the distance between UFO and KA-12;

Here,

Consider as a triangle;

Sum of interior angles of a triangle = 180 degree

So,

The third angle here will be = 180 - 60 + 75 = 180 - 135 = 45°

Now, use sin rule;

x / sin 75 = 900 / sin 45

x = sin 75 × 900 / sin 45

x = 900 × 0.966 / 0.707

x = 869.4 / 0.707

x = 1229.7

That is,

UFO is 1229.7 Km far from KA-12

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Answer:

D

Step-by-step explanation:

the values in the table are linear and can be expressed in the form

y = mx + c

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 11) and (x₂, y₂ ) = (4, 7) ← 2 ordered pairs from the table

m = [tex]\frac{7-(-11)}{4-(-2)}[/tex] = [tex]\frac{7+11}{4+2}[/tex] = [tex]\frac{18}{6}[/tex] = 3 , then

y = 3x + c ← is the partial equation

to find c substitute any ordered pair from the table into the partial equation

using (2, 1 ) , then

1 = 6 + c ⇒ c = 1 - 6 = - 5

the equation representing the values in the table is then

y = 3x - 5

The required inequality that represents the given situation is 35+12C≥100.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

Both mathematical phrases, equations, and inequalities are created by connecting two expressions.

The equal sign (=) indicates that two expressions in an equation are believed to be equivalent.

The symbols >,<, ≥, ≤ or ≠ indicate that the two expressions in inequality are not always equal.

So, initial payment = $35

$12 in additional fees for each class

The minimum goal is $100.

There are C classes in total.

Minimum target: One-time starting charge + (Additional fee per class) x (Number of classes)

The scenario's inequality is as follows:

35  +  12C  ≥  100

Therefore, the required inequality that represents the given situation is 35+12C≥100.

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Answer:

Step-by-step explanation:

the answer is a

Answer:

1000

Step-by-step explanation:

Answer: 1953125

Step by Step:

5^9 and because it is an odd exponent it is a positive answer for this problem

The linear equation can be solved by using arithmetic operation the answer for 13 is 27/4 etc.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

13)

9/16 = x/12

x = 27/4

14)

(x - 13)/18 = 12/9

x = 37

15)

7/11 = 18/(x+1)

x = 191/7

16)

(3x-4)/14 = 9/10

x = 83/15

17)

17/15 = 10/(2x -2)

x = 92/17

18)

(x - 16)/(x + 6) = 3/5

x = 49

Thus, the linear equation can be solved by using arithmetic operation the answer for 13 is 27/4 etc.

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Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is B. 500 / 50 = 10

because the first place is the thousands place and the next is hundreds place and then the next is tens place and lastly the next is the ones places

its pretty much in order.

The point [tex]B(1,8)[/tex]is not a solution of the given inequality. Whereas the points [tex]C(-5,10) \text { and } D(3,6) \\[/tex]are the solutions of the given inequality.

What is inequality?

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

It can be found out simply by substituting [tex](x, y)[/tex] values in the given equation

[tex]y < 2 x^2+3 x-5[/tex]

let us start with the point [tex]3(1,8)[/tex]

here [tex]x=1 \text { and } y=8[/tex] therefore [tex]y < 2 x^2+3 x-5[/tex]

[tex]8 < 2\left(1^2\right)+3(1)-5=2+3-5=0[/tex]

that means, [tex]8 < 0[/tex] which is an incorrect inequality, therefore the point

[tex]B(1,8)[/tex] is not a solution of the given inequality.

similarly, for [tex]C(-5,10)[/tex]

[tex]10 < 2(-5)^2+3(-5)-5=50+15-5=60[/tex]

that is [tex]10 < 60[/tex], which is correct.

therefore[tex]C(-5,10)[/tex] is a solution of the given inequality.

next[tex]D(3,6)[/tex]

[tex]6 < 2(3)^2+3(3)-5=18+9-5=22[/tex]

that is[tex]6 < 22[/tex], which is correct . Therefore the point D is a solution of the given inequality.

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Answer:

$12.5

Step-by-step explanation:

500/40 = 12.5

Answer:

0.5

Step-by-step explanation:

-1+3(10-12)^3/-16

-1+3(-2)^3/-16

-1+(-24)/-16

.5

Answer: B

Step-by-step explanation:

Answer:

x = 1/3

Step-by-step explanation:

12=7+15x

12-7=15x

5=15x

5/15=x

Simplify

x = 1/3

Answer:x=1/3 or x=0.3 I hope this helpful mark me brainlist if correct

Step-by-step explanation:

12=7+15x

Move the variable to the left-hand side and change its sign

12-15x=7

Then move the constant to the right-hand side and change its sign

-15x=7-12

Calculate the difference
-15x=-5

Divide both sides of the equation by -15

x=1/3 or x=0.3

The point when reflected across the y-axis is (0, -9)

From the question, we have the following parameters that can be used in our computation:

Point = (0, -9)

Transformation = Reflect the point across the y-axis:

The rule of reflection across the y-axis is represented as

(x, y) = (-x, y)

Substitute the known values in the above equation, so, we have the following representation

Image = (0, -9)

Hence, the image is (0, -9)

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