The graph of the function f(x) =-3x^2 - 3x + 6 is shown. Which statements describe the graph? Select three options.
1) The vertex is the maximum value.
2) The axis of symmetry is x = -1/2.
3) The domain is all real numbers.
4) The range is all real numbers.
5) The function is decreasing from (-∞, 6.75).

Using substitution method to solve the system of linear equations, the value of x and y are 4 and -24 respectively.

A system of linear equations is a set of two or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system simultaneously. Linear equations are equations that can be written in the form of ax + by = c, where a, b, c, x and y are constants.

In this problem, the equations are

Using substitution method;

Put the value y in eq(i) into eq(ii)

-2x - (-6x) = 16

-2x + 6x = 16

4x = 16

x = 4

Put x = 4 into equ(i)

y = -6(4)

y = -24

The value of x and y are 4 and -24

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Answer:

You can find the value of the tangent of any angle on a unit circle. Just draw a vertical line from the x-axis at either zero or pi until it intersects what is the extension of the radius through the angle. The length of that vertical line is the value of the tangent at the angle in question.

Step-by-step explanation:

In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).

Helpful Tip!:)

150°

The correct answer is 150°

Answer: Each roll of fabric had 86.4 inches of fabric.

Step-by-step explanation:

Each roll of fabric used in the annual school play had a length of 14.4yd / 6 rolls = 2.4 yards of fabric.

1 yard = 36 inches

so, 2.4 yards = 2.4 x 36 inches = 86.4 inches

Each roll of fabric had 86.4 inches of fabric.

Explanation: The problem states that Chau used 6 rolls of blue fabric, and the total length of fabric used was 14.4 yards. Dividing the total length of fabric by the number of rolls gives the length of each roll, which is 2.4 yards or 86.4 inches.

Answer:

E

Step-by-step explanation:

Let x be the initial value

  after 1 year    value = 1.1 x

          after 2 yrs   v = 1.1 * 1.1 x

                after 3 yrs   v = 1.1 * 1.1 * 1.1 x

                     after 4 yrs    v = 1.1 * 1.1 * 1.1 * 1.1 x

or simply :    value = ( 1.1)^n x     where n = number of years

                       for n= 4 years    value = (1.1)^4 x = 1.4641 x

           this represents a .4641 increase or  46.41 % increase  Answer E

Answer:

-6/5

Step-by-step explanation:

Perpendicular definition is that two gradients multiplying each others must equal to -1. This can be written in the form of [tex]\displaystyle{m_1m_2=-1}[/tex] where m stands for gradient or slope.

First, we know that the gradient of a line is 5/6, we'd have to find another gradient that is perpendicular to each other. Hence, substitute in the equation:

[tex]\displaystyle{\dfrac{5}{6}m_2=-1}[/tex]

Solve for [tex]m_2[/tex], multiply both sides by 6 first:

[tex]\displaystyle{\dfrac{5}{6}m_2 \times 6=-1 \times 6}\\\\\displaystyle{5m_2=-6}[/tex]

Divide both sides by 5:

[tex]\displaystyle{\dfrac{5m_2}{5}=\dfrac{-6}{5}}\\\\\displaystyle{m_2=-\dfrac{6}{5}}[/tex]

Therefore, the gradient that is perpendicular to 5/6 is -6/5

The gradient of a line perpendicular to a line with a gradient of ⅚​ is -5/6.

We have,

A line perpendicular to a line with a gradient of ⅚​ will have a gradient that is the negative reciprocal of ⅚​.

The negative reciprocal of ⅚​ can be found by taking the reciprocal of ⅚​ (which is 6/5) and then negating the result.

So the gradient of the perpendicular line is:

-1/(6/5) = -5/6

Therefore,

The gradient of a line perpendicular to a line with a gradient of ⅚​ is -5/6.

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Luke save $10 after buying 5 boxes.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Here, we have

Given: Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size.

The function of the first cereal is

y = 11x

Now, another cereal that Luke decides to buy is $9 per box, which is expressed

y = 9x

Now, the difference between the costs is $2, because 11-9=2.

So, the original brand costs $2 more than the super-saving brand.

Now, if Luke buys 5 cereal boxes per month, the cost in each case would be

y = 11(5) = 55

y = 9(5) = 45

Luke is saving per month 55 - 45 = $10

Hence, Luke save $10 after buying 5 boxes.

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Answer: [tex]x=9[/tex]

Step-by-step explanation:

[tex]3^{x-2}=3^7\\\\x-2=7\\\\x=9[/tex]

Answer: looks like [tex]a^{7}[/tex]

Is that one of the answer choices?

The floor that Ramon lives on, given the address that Ramon gave his friend in Johannesburg, is Floor 18.

Ramon's Flat number, given the address, is Flat 34.

In South Africa, there is a way to write the floor that a person stays on and the flat number, in the address that they give to you. The format is such that the first two numbers would represent the floor number. This means that an address of 0208 would means that the floor number is the 2nd floor.

The second two numbers would then be the flat number of the person which means that an address of 0208 would have a flat number of 08.

Ramon's address of 1834 Norman Heights Hillbrow Johannesburg would then be Floor 18 and Flat 34.

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Answer:

Step-by-step explanation:

set up the composite function and simplify: first one is -3, second is -2

Answer:

Step-by-step explanation:

jake has 2 apples

if bob gotta two apples and Jake took it away then how many apples does bob have

Step-by-step explanation:

Answer:

To determine the amount of the investment after 7 years, we can use the formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (the amount after 7 years)

P = the initial principal or investment amount ($2750)

r = the annual interest rate (3.5%)

n = the number of times the interest is compounded per year (quarterly)

t = the number of years the investment is held (7)

First, we convert the annual interest rate to a decimal: 3.5% = 0.035

Then we convert the interest rate to a quarterly rate by dividing by the number of times it is compounded per year: 0.035 / 4 = 0.00875

We can now substitute these values into the formula:

A = $2750(1 + 0.00875)^(4*7)

A = $2750(1.00875)^28

A = $2750(1.3471)

A = $3710.82

So, the amount of the investment after 7 years is $3710.82, rounded to the nearest hundredth.

So on solving the provided question we can say that here in both triangles are similar, y = 10; x = 12

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here in both triangles are similar,

y = 10

x = 12

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Answer:

Third choice on the screenshot:
Yes, because the determinant of the coefficient matrix is 8

Step-by-step explanation:

If the determinant of a coefficient matrix is zero, then the linear system of equations it represents has no solution.

Here the coefficient matrix is

[tex]\begin{pmatrix}2&4\\ \:-1&2\end{pmatrix}[/tex]

The determinant of a matrix
[tex]\begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}[/tex]

is [tex]\:ad-bc[/tex]

So
[tex]\det \begin{pmatrix}2&4\\ -1&2\end{pmatrix} = 2\cdot \:2-4\left(-1\right) = 8[/tex]

Since it is non-zero, the system of equations will have a unique solution

The domain and range are (0 , ∞) and (0 , ∞).

What is domain ?

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The set of all initial elements in ordered pairs constitutes the domain (x-coordinates). The set of all second items in ordered pairs is the range (y-coordinates).

Given

y = 80 / x

As per the graph the domain and range are

domain : (0 , ∞)

{depth of the diamond > 0 }

range : (0 , ∞)

{ratio > 0}

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Correct answers:

1. -5(х+3)

1. -5(х+3)2. 5(-х-3)

Answer:

option 4th is answer ...............

-5x-15 =-5(x-3)

Answer:

B

Step-by-step explanation:

The numbers are the same so they would be on the same place on the number line.

Answer:

If A = B, where on the number line will A appear?

The correct answer is B. In exactly the same location as B.

This is because when we say A = B, it means that A and B have the same value, meaning they are located in the same place on a number line.

the photo is not loading ok this is your photo open this and see now that address now because you are so

The vertex form of the equation of the parabola is the quadratic equation y - 3 = - 3 · (x + 4)².

Parabolae are represented by quadratic equations, there are two forms for such equations: (i) standard form, (ii) vertex form. The vertex form of the equation of the parabola is shown below (please notice that parabola is parallel to y-axis when axis of symmetry is a vertical line):

y - k = C · (x - h)²

Where:

If we know that h = - 4, k = 3 and (x, y) = (- 3, 0), then the equation of the parabola in vertex form is:

C = (y - k) / (x - h)²

C = (0 - 3) / [(- 3) + 4]²

C = - 3 / 1²

C = - 3

The equation of the parabola in vertex form is the quadratic equation y - 3 = - 3 · (x + 4)².

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Answer: 0.515

Step-by-step explanation:

Since our angle is between 0 and 90 degrees, it is located in Quadrant I

In the first quadrant, the values for sin, cos and tan are positive.

Since 31° is less than 90, we can express this in terms of a cofunction

sin(θ) = cos(90 - θ)

sin(31) = cos(90 - 31)

sin(31) = cos(59)

hope this helps!

The value of sin 31° is 0.51504.

Sin 31 degrees is the value of the sine trigonometric function for an angle equal to 31 degrees.

The sin of 31 degrees is 0.51504, but the sin of 31 degrees can also be expressed in radians. To obtain 31 degrees in radian multiply 31° by π/ 180° = 31/180π. Sin 31degrees = sin (31/180 ×π)

The results of sin31° are rounded to five decimal places.

The following are identities of sine 31° :

sin31°

= cos (90°-31°) = cos 59°

= sin (180°-31°) = sin 149°

-sin31°

= cos (90°+31°) = cos 121°

= sin (180°+31°) = sin 211°

Therefore, The value of sin 31° is 0.51504.

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Answer:3 square root 27c7 • 3 square root 250c2 can be simplified by applying the property of square roots, (√a * √b) = √(ab) .

So, 3 square root 27c7 • 3 square root 250c2 = √(27c7 * 250c2) = √(27250c7c2) = √(675c7*c2) = √(675c9) = √(675) * √(c9) = 15c3

Therefore, 3 square root 27c7 • 3 square root 250c2 = 15c3 is the equivalent expression.

Step-by-step explanation:

Answer: find zero on the number line then put a dot on -7/5 (-1 2/5) then do the same on positive 7/5 (1 2/5

Step-by-step explanation:

find zero on the number line then put a dot on -7/5 (-1 2/5) then do the same on positive 7/5 (1 2/5 . I think that is correct sorry if it isnt.

Step-by-step explanation:

Answer:

None of the above

Step-by-step explanation:

Beacuse,

3*65 +9*55 = 690miles

4*65 + 8*55 = 700 miles

6*65 + 6*55 = 720 miles

8*65 + 4*55 = 740 miles

The total length is 750miles which is not suitable in this above four answers

Answer:

15

Step-by-step explanation:

1+3+5+4+2

Answer:

Step-by-step explanation:

It has to be option D by looking at the question.

It says, that it is $5.50 per hour for kids.

If x is the hours, then total cost spent just for the kid will be $5.50x

It also says there is a flat $3 admission. So just add that to the equation.

$5.50x + 3 ≤ 20.

20 ( given)

Thanks

Answer:

Ms. Nahar is 7 years old.

Step-by-step explanation:

21/7 =3

Answer:

She is 7 years old if he is 21

Step-by-step explanation:

21/3

Answer:

The change in gravitational potential energy from point A to point B can be calculated using the formula:

ΔU = mgh

Where:

m = mass of the pendulum = 1.5 kg

g = acceleration due to gravity = 9.8 m/s^2

h = change in height = yB - yA = 0.12 m - 0.04 m = 0.08 m

So, the change in gravitational potential energy from A to B is:

ΔU = (1.5 kg)(9.8 m/s^2)(0.08 m) = 1.176 J

So, the change in gravitational potential energy from A to B is 1.176 Joules.

Answer:

g(x) is translated 2 units up from f(x).

Step-by-step explanation:

f(x) = 4x

g(x) = 4x+2

g(x) = f(x) + d  where d is an upwards translation from f(x)

Adding 2 is a vertical translation up 2 units