What are the coordinates of the turning point of the parabola whose equation is
y = x² - 4x + 48
(1) (2.0) (2) (-2, 16)
(3) (2,-4)
(4) (-2,0)
What is the equation for the axis of symmetry for: y = -x² - 2x-1
(1) x= 1 (2) X=-1
(3) y = 1
(4) y = -1
If the roots of a quadratic equation are -2 and 3, the equation can be written as:
1) (x-2)(x+3) = 0
3) (x + 2)(x + 3) = 0
2) (x + 2)(x-3) = 0
4) (x-2)(x-3) = 0
The equation of the axis of symmetry of the graph of y=2x2-3x+7 is
3
3
3
3
(1) X
(2) y=-
(3) X=-
(4) y=-
4
2
2
Ex7: What are the vertex and axis of symmetry of the parabola shown in the graph below?
(1) Vertex (1. 6); axis of symmetry: y=1
(2) Vertex (1, 6); axis of symmetry: x = 1
(3) Vertex (6, 1); axis of symmetry: y = 1
(4) Vertex (6, 1); axis of symmetry: x = 1

Answer:

B

Step-by-step explanation:

a difference of cubes factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

given

p³ - 343q³

= p³ - (7q)³ ← a difference of cubes , then

= (p - 7q)(p² + 7pq + 49q²) ← in factored form

The number that has the greatest value is 245

The numbers are given as:

0.095, 1.24, 1.215 and 245

Rearrange the numbers in ascending order

0.095, 1.215, 1.24 and 245

The last number on the list is the greatest

Hence, the number that has the greatest value is 245

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I will answer this will within a few minutes

The rectangle and the translated rectangle have been plot and the image is attached.

A rectangle is a polygon with four sides , opposites sides of the polygon are equal and parallel.

To draw a Rectangle having vertices A(1,1), B (1,5), C(5,5) and D (5,1).

and a rectangle with translation (2,1)

After translation the new points are

A(3,2) ,B (3,6) , C(7,6) , D(7,2)

The rectangle and the translated rectangle have been plot and the image is attached.

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Answer:

The probability of scoring fewer than 5 runs when they win is P = 0.19

How to find the probability?

We know that:

The probability of winning a game is p = 0.53

The probability of scoring 5 or more runs is q = 0.59

The probability of winning and scoring 5 or more runs is k = 0.43

Notice that the joint probability is different than the product of the individual probabilities, this means that the events are not independent.

So, we know that the probability of winning is 0.53

Now, given that they win, the probability of scoring 5 or more times will be q' such that:

0.53*q' = 0.43

q' = 0.811

This means that when they win, the probability of scoring more than 5 times is 0.81

Then the probability of scoring less than 5 times when they win is 1 minus the above probability:

P = 1 - 0.81 = 0.19

The probability of scoring fewer than 5 runs when they win is P = 0.19

Answer:

2 × 2 × 2 × 3 × 7

Step-by-step explanation:

Answer:

= 3x⁵ + 3x³ - 18x

Step-by-step explanation:

(3x³ + 9x)(x²-2)

= 3x³ * x² + 3x³ * -2 + 9x * x² + 9x * -2

= 3x⁵ - 6x³ + 9x³ - 18x

= 3x⁵ + 3x³ - 18x

Answer:

67 m/s

Step-by-step explanation:

Formula for range :

Solving with the given values :

Answer:

[tex]\sf u=67\:ms^{-1}[/tex]

Step-by-step explanation:

Assuming the distance traveled is the horizontal distance.

Horizontal Range Formula

[tex]\sf R=\dfrac{u^2 \sin 2\theta}{g}[/tex]

where:

Given:

Substituting the given values into the formula and solving for u:

[tex]\implies \sf 400=\dfrac{u^2 \sin 60^{\circ}}{9.8}[/tex]

[tex]\implies \sf 3920=u^2 \sin 60^{\circ}[/tex]

[tex]\implies \sf 3920=\left(\dfrac{\sqrt{3}}{2}\right)u^2[/tex]

[tex]\implies \sf u^2=\dfrac{7840}{\sqrt{3}}[/tex]

[tex]\implies \sf u=\sqrt{\left(\dfrac{7840}{\sqrt{3}} \right) }[/tex]

[tex]\implies \sf u=67.2787196...[/tex]

[tex]\implies \sf u=67\:ms^{-1}\:(nearest\:whole\:number)[/tex]

Answer:

Step-by-step explanation:

1) Let the unknown angle = x

   x +  43 + 90 = 180

            x + 133 = 180

                      x = 180 -133

                     [tex]\sf \boxed{\bf x = 47^\circ}[/tex]

2) x + 88 + 30 = 180

            x + 118 =180

                   x  = 180 - 118

                  [tex]\sf \boxed{\bf x = 62^\circ}[/tex]

3) x + 98 + 40 = 180

            x + 138 = 180

                    x  = 180 - 138

                    [tex]\sf \boxed{\bf x = 42^\circ}[/tex]

Answer:

10^(-5)

Step-by-step explanation:

1 x 10^(-5)

I hope it helps u dear! ^_^

Answer:

THE ANSWER IS C

Step-by-step explanation:

just add it it and find it 0.007

Answer:

THe answer Is C

Step-by-step explanation:

because 0.007 is the same as 365 its something were learning in class

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

13 and 36 have no common factor except 1.

Perhaps you meant that the 13 should be 12. In that case

GCF

The greatest common factor is 2 * 2 * 3

If there is a number that is not bolded, it is what is left behind inside the backets the distributive property creates.

Answer: 12(1 + 3)

Note: the 1 is part of the answer inside the brackets when one of the numbers inside the brackets and the GCF are the same

Answer:

103.9

Step-by-step explanation:

yes

Step-by-step explanation:

please mark me as brainlest

Answer:

135 degrees

Step-by-step explanation:

Just took the test...

Answer:

135 degrees

Step-by-step explanation:

180 (n - 2)

180 (8 - 2)

180(6)

1080 divided by 8

135 is your answer.

Answer:

THE ANSWER IS C

Step-by-step explanation:

just add it it and find it 0.007

Answer:

1.64

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

6.6^2 + x^2 = 6.8^2

43.56+x^2=46.24

Subtract 43.56 from each side

x^2 = 46.24-43.56

x^2 =2.68

Take the square root of each side

sqrt(x^2) = sqrt(2.68)

x =1.637080554

To 3 significant digits

x = 1.64

Answer:

Step-by-step explanation:

       x = 1.637 mm

        We can use Pythagorean theorem, to find the unknown side for a right angled triangle.

The side opposite to 90 is the longest side and it is the hypotenuse.

Base² + altitude² = hypotenuse²

 x²     + 6.6²        = 6.8²

      x²  +  43.56  = 46.24

                     x²   = 46.24 - 43.56

                    x²    = 2.68

                      x   = √2.68

                      [tex]\sf \boxed{\bf x = 1.637 \ mm }[/tex]

Answer:

The data is spread out from 1 to 10 pounds of trash

Step-by-step explanation:

Because you see the X's on all the numbers through 1-10, there is none on 0. The other answer options are incorrect

Answer: 62.5%

Step-by-step explanation:

5/8 = 0.625

0.625 x 100 = 62.5

Step-by-step explanation:

First expression ...

[tex] = {ax}^{3} y[/tex]

[tex] = a \times x \times x \times x \times y[/tex]

Second expression.....

[tex] = b {x}^{4} {y}^{3} [/tex]

[tex] = b \times x \times x \times x \times x \times y \times y \times y[/tex]

HCF = common factor...

[tex] = x \times x \times x \times y[/tex]

[tex] = {x}^{3} y[/tex]

[tex]hence \: {x}^{3} y \: is \: the \: answer....[/tex]

Answer: HCF =

x³y

Step-by-step explanation:

HCF of ax³y and bx⁴y³

ax³y = a . x . x . x . y

bx⁴y³ = b . x . x . x . x . y . y . y

Common Factors = x . x . x . y

HCF = x . x . x . y

HCF = x³y Answer

therefore, the HCF of ax³y and bx⁴y³ is x³y.

hope that helps...



note: the dot (.) represents multiplication.

Answer:

let numbers be=x -3=3-x × 4(3-x) x=8 hence 12 -4x=8 = 12-8

The slope of the line is the negative 4/3 and y-intercept will be the negative 1.

The correct equation is given below.

−4x − 3y = 3

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line will be

−4x − 3y = 3

Then the equation of a line can be written as

4x + 3y = −3

       3y = −4x − 3

         y = −(4/3)x − 1

Then the slope of the line is the negative 4/3 and y-intercept will be the negative 1.

The graph is given below.

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Answer:

I believe that the answer is A

Answer:

I think Option C is the correct answer

I think it will help you.

Answer:

D where the funds to start and operate your business.........

The length of side of triangle portion CE is 16.

When two triangles forms on the same base, has its other two sides in proportional with each other, the triangles are known as the similar triangles.

Given, the dimensions AD = 24, DB = 27 and EB = 18.

In the given diagram of two similar triangles, ABC and DBE

DB/AD = EB/CE

Substitute the values, we get

27/24 = 18/CE

CE= 16

Thus, the value of CE = 16

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[tex]x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle[/tex]

different approach:

[tex]x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0[/tex]

see attachment

[tex]x\in\langle-4,4\rangle[/tex]

[tex]~~~~~~x^2 \leq 16\\\\\implies -\sqrt{16} \leq x\leq \sqrt{16}\\\\\implies -4\leq x \leq 4\\\\\text{Interval notation:}~ [-4,4][/tex]

Answer:

d

Step-by-step explanation: