find the sixth term in the sequence 5, 20, 80…

Answer:

f(x) = -(x + 8)(x -14)

= -(x2 - 112 - 6x)

= -x2 + 6x + 112 --- (1)

We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.

The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation

a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is

x = -b/2a

= -(6)/[2(-1)]

= 3

Substituting the value of x = 3 in equation (1) we get,

Now y = -(3)2 + 6(3) + 112

= -9 + 18 + 112 = 121

So the vertex point coordinates are (3, 121) and the y value is 121.

The graph below verifies the vertex point.

vertex of the graph

What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?

Summary:

The y-value of the vertex of the function f(x) = -(x +

Answer:

Step-by-step explanation:

D or 121  got it right on edgenuty

Answer:

C

Step-by-step explanation:

[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]

Answer:

nothing much just got home

Answer:

The answer would be 64,000.

Step-by-step explanation:

To find the area of one concrete block you will multiple length x width x height. Using the measurements provided, one block will equal 40. You will then multiple this by 1,600 to equal 64,000.

Answer:

y = 5x

Step-by-step explanation:

Hey there!

To start with the hypotenuse of a triangle is the longest side of it

and to get an equation of a line you would use

y = mx + b

where m is the slope

and b is the y-intercept

to get the slope you would do rise over run

rise/run

take 2 points and see how much it rises and runs to the next point

you would then get 5

then we figure out the y-intercept where the line intercepts the y-axis

in this case 0

In conclusion the answer is y = 5x + 0

we can also remove the 0 because it is unnecessary

y = 5x

So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!

So let us assume the unknown positive integers as a and (a + 1).

★ Product of both integers :-

★ Solving the equation :-

[tex]: \longrightarrow \: \sf{a \: (a + 1) \: = \: 156} \\ \\ : \longrightarrow \: \sf{a \times (a + 1) \: = \: 156} \\ \\ : \longrightarrow \: \sf{a {}^{2} \: + \: a \: = \: 156} \\ \\ : \longrightarrow \: \sf{a {}^{2} \: + \: a \: - \: 156 = 0} \\ \\: \longrightarrow \: \sf{a {}^{2} \: - \: 12a + 13a\: - \: 156 = 0} \\ \\ : \longrightarrow \: \sf{a(a \: - \: 12) + 13(a\: - \: 12) = 0} \\ \\ : \longrightarrow \: \sf{a(a \: - \: 12) + 13(a\: - \: 12) = 0} \\ \\ : \longrightarrow \: \sf{(a \: - \: 12) (a\: + \: 13) = 0} \\ \\ : \longrightarrow \: \red{\bf{a \: = \: 12 }}[/tex]

Therefore,

★ Second positive integer :-

Answer:

EASYYY   90°

Step-by-step explanation:

30 + 60 = 90

180-90=90

also

thats a right angle which is always 90°

ALSO

the angle opposite another angle is always the same measurement.

Answer:

  E.  x = 3

Step-by-step explanation:

The equation can be factored by considering the factors of the product of the first and last coefficients. Those factors must have a sum equal to the middle coefficient.

  (2)(-3) = -6 = (-6)(1) = (-3)(2) = ... other factors with positive sums

The sums of the factor pairs shown are -5 and -1. We're interested in the factor pair {-6, 1}. Replacing the middle term coefficient with the sum of these, we can write the equation in a way that lets us factor pairs of terms.

  2x² -6x +x -3 = 0 . . . . . . . . replace -5x with -6x+1x

  2x(x -3) +1(x -3) = 0 . . . . . . factor pairs of terms

  (2x +1)(x -3) = 0 . . . . . . . . . complete the factoring

Solutions are the values of x that make these factors zero:

  2x +1 = 0   ⇒   x = -1/2

  x -3 = 0   ⇒   x = 3

_____

Additional comment

A number of methods are used to find the factors of a quadratic with a leading coefficient other than 1. When the coefficients are small integers, this is one of the more straightforward methods: actually listing and examining the pairs of factors of "ac." If "ac" has a large number of divisors, other methods may be more practical.

Answer:

x = 3  AND  x = -1/2

Step-by-step explanation:

its right

Answer:$22.95

Step-by-step explanation: The original price is 51%

Discount is 55% of $51= 55/100×51=$28.05

Deduct the discount from the original price. $51-$28.05=$22.95

Answer:

575 mph

Step-by-step explanation:

The plane is traveling at 575 mph.

1725/3

575

The cost of one taco is $2, while the cost of one fountain drink is $3.

2t + 3f = $13 equation 1

4t + 2f = $14 equation 2

Where:

Multiply equation 1 by 2:

4t + 6f = 26 equation 3

Subreact equation 2 from equation 3

4f = 12

Divide both sides by 4

f = 12 / 4

f = $3

Subsistute for f in equation 1

2(t) + (3 x 3) = $13

2t + 9 = 13

2t = 13 - 9

2t = 4

t = 4/2

t = $2

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Answer: (2,-5)  X:2. Y:-5

Move accross 2 units to the right and then 5 units down from 2

Answer:

d/dx = -2/x^3

Step-by-step explanation:

1/x^2 + 1

We can solve for the derivative using the power rule

d/dx = -2/x^3 + 0

d/dx = -2/x^3

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving 162mm^2

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving 162mm^2

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get 108mm^2.

Area of the rectangle: lw, so 15mm * 9mm = 135mm^2

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, 378mm^2

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, 162mm^2

Area of the rectangle at the very bottom = lw, 21mm * 9mm = 189mm^2

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

Answer:

8/9

Step-by-step explanation:

4/9 ÷ 1/2 =  dividing by 1/2 is the same as multiplying by its reciprocal 2/1

4/9 × 2/1 = (4×2)/(9×1) multiply numerators (top numbers) and multiply denominators (bottom numbers)

Answer:

58cm

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

16 +16=32

13+13=26

32+26=58

Hope it Helps

Answer:

those are corrisponding angles which means they equal each other making <H and <G both 57 degrees

Answer:

6

Step-by-step explanation:

pemdas=parenthesis, exponents, multiplication, division, addition, subtraction. with this, we multiply 2 x the absolute value of -3, which is just 3. therefore, 6. now we see we need to subtract the absolute value of 6 from the absolute value of 8, which gives us 2. and 2+4 is 6.

Answer: 6

Step-by-step explanation:

8-2 x 3+4

2x3=6

8-6+4

2+4

=6

hope this helps

Answer:

(B) and (D)

Step-by-step explanation:

it's B and D because they are the only two points with constant rate

Answer:

The Answer is 96 units squared

Step-by-step explanation:

First, you find the area of all the sides:

Triangle 1: 6

Triangle 2: 6

Rectangle 1: 21

Rectangle 2: 28

Rectangle 3: 35

Then you add all of the numbers together.

6+6+21+28+35 = 96 units squared

I hope this helps :)

Answer:

11

Step-by-step explanation: Uh- if X=3 then it would be 2(3) +5. 2x3 is 6, and 6+5 is 11.

Answer:

11

Step-by-step explanation:

2(3) + 5

simplify

6 + 5 = 11

hope this helps

Answer:

63.25

Step-by-step:

39.25 + 24 = 63.25 ft squared

Answer:

Step-by-step explanation:Does anyone know what this would be?

Answer:

2/10

Step-by-step explanation:

Since the denominator is 10, we must find what the numerator is so that the fraction can be equal to 1/5. Since 10 is twice of 5, we multiply 2 by 2 as well. With that, we get a final answer of 2/10.

Answer:

18

Step-by-step explanation:

Answer:

25% profit

Step-by-step explanation:

Statement

An article is bought and sold at a profit of one fourth of selling price.

⇒ Buying price = x

⇒ Selling price = Buying price (1 + 1/4) = 5x/4

Profit %

Answer:

ACD and DCB are supplementary and others are correctly chosen ...