Which statement is true concerning the vertex and axis of symmetry of h(x)=−2x2+8x?

The vertex is at (0, 0) and the axis of symmetry is x = 2.
The vertex is at (0, 0) and the axis of symmetry is y= 2.
The vertex is at (2, 8) and the axis of symmetry is x = 2.
The vertex is at (2, 2) and the axis of symmetry is y = 2.

Answer:

[tex]\frac{25}{56}[/tex] pounds

Step-by-step explanation:

By using unitary method,

∵ 1 full tub of water weighs = [tex]3\frac{1}{8}[/tex] pounds

∴ [tex]\frac{1}{7}[/tex] of a water tub will weigh = [tex]3\frac{1}{8}\times \frac{1}{7}[/tex]

                                               = [tex]\frac{(24+1)}{8}\times \frac{1}{7}[/tex]

                                               = [tex]\frac{25}{56}[/tex] pounds

Therefore, water filled in [tex]\frac{1}{7}[/tex]th part of the tub will weigh [tex]\frac{25}{56}[/tex] pounds.

The weight of the tub if filled up to 1/7 full is 25/56 pounds

Given:

If filled halfway:

= 1/7 × 3 1/8

= 1/7 × 25/8

= (1 × 25) / (7 × 8)

= 25/56 pounds

Therefore, the weight of the tub if filled to 1/7 of the capacity is 25/56 pounds

Learn more about fraction:

https://brainly.com/question/11562149

Answer:

x = 120

y = 30

Step-by-step explanation:

Given that RST is equilateral, each of its interior angles will be 60 degrees

Looking at x, it lies on a starting line with one of the interior angles of RST

The sum of angles on a straight line is 180

Thus;

x + 60 = 180

x = 180-60

x= 120

Looking at triangle RSU, the markings indicates that we have an isosceles triangle

For an isosceles triangle, the base angles are equal in value

This means that SRU is also y

Mathematically, the sum of angles in a triangle is 180

Hence;

x + y + y = 180

x + 2y = 180

120 + 2y= 180

2y = 180-120

2y = 60

y = 60/2

y = 30

Answer:

7

Step-by-step explanation:

In order to solve the value of x we need to Seperate it so that it can be alone on one side.

So:

X - 3 = 4

X = 4+3 (when characters go from one side of the "=" to the other, they change the sign that is before them (so if before the "=" it was "-" now it will be "+". Same goes for when we multiply or divide))

X=7

Answer:

X=7 because

-3=3=0,

and 4+3= 7 so x= 7

Step-by-step explanation:

please mark brainly

Answer:

Step-by-step explanation:

3x

Answer:

141

Step-by-step explanation:

2*3=6

5*9=45

6*15=90

141

Answer:

add all the sides I guess...

Step-by-step explanation:

or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape

Answer:

24, 21, 15, 12

Step-by-step explanation:

Since x is given in the table, you can find the y-values by plugging each of the x-value into the equation replacing x.

[tex]y=30-3(2)=30-6=24[/tex]  [tex](2, 24)[/tex]

[tex]y=30-3(3)=30-9=21[/tex]  [tex](3, 21)[/tex]

[tex]y=30-3(5)=30-15=15[/tex]  [tex](5, 15)[/tex]

[tex]y=30-3(6)=30-18=12[/tex]  [tex](6, 12)[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It is convenient to let a spreadsheet or graphing calculator do the repetitive arithmetic.

__

If you want to do it by hand, put the x-value in the equation and do the arithmetic. For example, ...

  y = 30-3(2) = 30 -6 = 24 . . . for x=2

Answer:

the function f(x) = 2x - 1 indicates:

a downward shift of 1 unit

as the y-intercept: (0, -1)

Answer:

D. Square

It is the only one with all right angles and sides the same length

Answer:

[tex]\sqrt{45}[/tex]

Step-by-step explanation:

Hi there,

In order to solve this problem, you have to know the Pythagorean Theorem:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

We can see from the graph that line segment ML and LN are 6 and 3 units respectively. Since we know the lengths of two sides of the triangle, we can use the theorem above to find the hypotenuse (MN).

⇒ [tex]6^{2}[/tex] + [tex]3^{2}[/tex] = [tex]c^{2}[/tex]

⇒ 45 = [tex]c^{2}[/tex]

⇒ c = [tex]\sqrt{45}[/tex]

Hope this explanation helps. Cheers.

Answer:

x=3

Step-by-step explanation:

Hope this help and plz give me brainlist.

Answer:   x=3

Step-by-step explanation:   cuz Im know how to solve for x.    Hope its good!

Answer:

m= -9

Step-by-step explanation:

Hope this helps

Answer:

love

Step-by-step explanation:

you

Answer:

Yes.

Step-by-step explanation:

If you change nothing but the angle and positioning of the original shape, then it is congruent.

Answer:

12=12

Step-by-step explanation:

2a = b

a -3b =12

To solve, set one of the equations equal to zero.  The first equation is actually already set to 0.

b = 2a

Now you can plug this equation into the other one, by substituting the b in the equation with this.

a -3b = 12

a – 3(2a) = 12

Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).

a – 6a = 12

Combine like terms.  Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs

6-1 = 5

And take the sign of the larger number.  Since 6 is large and 6 is negative, we are left with

-5a = 12

Now solve for a, which in this case means dividing both sides by -5

a = -12/5

Simplify

a = -2.4

Now that you have a, it’s easy to find b

b = 2a

b = 2(-2.4)

b= -4.8

Now you check your work by plugging your new a and b into either equation to see if it’s true.

-4.8 = 2(-2.4)

-4.8 = -4.8

And just for laughs let’s try the other equation

a -3b =12

-2.4 – 3(-4.8) = 12

Distribute the 3 again.  Remember that when two negative numbers are multiplied they become positive.

-2.4 +14.4 = 12

12 = 12

Answer:

1. (f(x)-f(a))/(x-a) **A(x)=(f(x)-f(a))/(x-a) This average rate of shift attribute is designated by the letter A. *f(x) - f(a) represents the difference in the function f as the input transitions from a to x. x - a represents the change in the input of the function f.

f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 (f(5)-f(9))/(5-9)=(-2-14)/-4=4

Over the range of x = 5 to x = 9, the average rate of change is 4.

2. g(x)=2x2+13x+1, f(x)=4x2+6x

(f/g)(x)=(4x2+6x)/(2x2+13x+1) (f/g)(x)=(4x2+6x) (f/g)(x)=(4x2+6x)

f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85

3. f(x)=x2-6x+8, g(x)=x-2, g(x)=x-2, f(x)=g (x)

x2-6x+8=x-2, x2-6x-x+8+2=0, x2-7x+10=0, x2-6x-x+8+2=0

x1,2=(7+(72-4*10))/2=(7+3)/2 x1=5, x2=2 x1=5 x2=2

Step-by-step explanation:

Answer:

y<3

Step-by-step explanation:

6y<18

y<18/6

y<3

I hope this helps

Answer: you can see what number times 6 gets you 18 so it would be y<3

Step-by-step explanation:

Answer:

C. 85

Step-by-step explanation:

If you look closely to the protractor, r is in the middle of 80 and 90 which is 85

Answer:

2 to the power of 2 times three to the power of 2

3 to the power of 2 times 5 to the power of 2

6 to the power of 2 times 7 to the power of 3

7 to the power of 2 times 5 to the power of 3

3 to the power of 2 times 5 to the power 2 times 7 to the power of 2

Step-by-step explanation:

Answer:

Circumference of a circle A = [tex]389.7 \,\,inches[/tex]

Area of a circle A = 12081.1 square inches

Step-by-step explanation:

Let [tex]r[/tex] denotes radius of circle B.

Circle A has a radius that is five more than twice as long as the radius of circle B.

So,

Radius of circle A = [tex]5+2r[/tex]

Diameter of circle = 2 (radius of circle)

So,

Diameter of circle B = 2r

Diameter of circle A = [tex]2(5+2r)[/tex]

Sum of the diameters of the circles A and B = [tex]2r+2(5+2r)[/tex]

                                                                         [tex]=2r+10+4r[/tex]

                                                                         [tex]=6r+10[/tex]

As sum of the diameters of the circles is 88 inches,

[tex]6r+10=88\\6r=78[/tex]

[tex]r=13[/tex] inches

Radius of a circle A = [tex]2(5+2r)[/tex]

                                [tex]=2[5+2(13)][/tex]

                                [tex]=2(5+26)[/tex]

                                [tex]=2(31)[/tex]

                                [tex]=62[/tex] inches

Let R denotes radius of a circle A.

R = 62 inches

Circumference of a circle [tex]=2\pi R=2\pi (62)=124\pi =124(\frac{22}{7})=389.7 \,\,inches[/tex]

Area of a circle [tex]=\pi r^2=\pi (62)^2=3844\pi=3844(\frac{22}{7})=12081.1[/tex] square inches

Answer:

x= 6

∠FGT = 55

∠GFE = 65

Step-by-step explanation:

Answer:

distance is estimated 11