Which binomial is a factor of 100x2 – 49?
a
O 10x + 7
O 25% - 7
O 25x + 49
O 203 – 49
-

Answer:

25

Step-by-step explanation:

20^2 + 15^ = c^2

400 + 225 = c^2

625 = c^2

25 = c

Answer: The length of the ladder is 25 feet.

Answer:

135%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

120 / 150 = 0.8 or 80%, so the difference is 20%

The discount percentage is 20%.

Given that the competitor is selling an item for $ 150.00, while the price for that item in the store is $ 120.00, the following calculation must be performed to determine the discount percentage:

Therefore, the discount percentage is 20%.

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Answer: 325 dollars

Step-by-step explanation:

In order to find out a percentage of somethin, you can simply multiply and divide

[tex]500*65=32500[/tex]

32500÷100= 325

Answer:

1) Please find the attached drawing of the archway created with MS Excel

2) The y-intercept is (0, 24)

The x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base is 11

The height of the archway at its highest point = 30.25

Step-by-step explanation:

1) Please find the attached drawing of the archway created with MS Excel

2) The y-intercept is (0, 24)

The x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base is 11

The height of the archway at its highest point = 30.25

Step-by-step explanation:

The given function representing the archway is y = -x² + 5·x + 24

1) Please find attached the required drawing of the archway created with MS Excel

2) The y-intercept is given by the point where x = 0

Therefore, we have, the y-value at the y-intercept = -0² + 5×0 + 24 = 24

The y-intercept = (0, 24)

The x-intercept is given by the point where y = 0

Therefore, the x-values at the x-intercept are found using the following equation;

0 = -x² + 5·x + 24

x² - 5·x - 24 = 0

By inspection, we have;

x² - 8·x + 3·x - 24 = 0

x·(x - 8) + 3·(x - 8) = 0

∴ (x + 3) × (x - 8) = 0

Either (x + 3) = 0, and x = -3, or (x - 8) = 0, and x = 8

Therefore, the x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base = The distance between the x-values at the two x-intercepts

∴ The width of the archway at its base = 8 - (-3) = 11

The highest point of the arch is given by the vertex of the parabola, y = a·x² + b·x + c, which has the x-value of the vertex = -b/(2·a)

∴ The x-value of the vertex of the given parabola, y = -x² + 5·x + 24, is x = -5/(2×(-1)) = 2.5

Therefore;

The y-value of the vertex, is y = -(2.5)² + 5×2.5 + 24 = 30.25 = The height of the archway at its highest point

∴ The height of the archway at its highest point = 30.25

The vertex of the parabola is at (-2.5, 17.75). And the y-intercept of the parabola is at (0, 24).

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation of the parabola is given as,

y = x² + 5x + 24

Convert the equation into a vertex form, then we have

y = x² + 5x + 25/4 - 25/4 + 24

y = (x + 5/2)² + 71/4

y = (x + 2.5)² + 17.75

The vertex of the parabola is at (-2.5, 17.75). The y-intercept of the parabola is given as,

y = (0)² + 5(0) + 24

y = 24

The y-intercept of the parabola is at (0, 24).

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Answer:

3.

2x^3+10x^2+14x+6

Step-by-step explanation:

according to figure,

v=w•l•h

(2x+2)(x+1)(x+3)

=(2x+2)x(x+1)+3(X+1)

=(2x+2)(x^2+4x+3)

=2x(x^2+4x+3)+2(x^2+4x+3)

=2x^3+10x^2+14x+6

The volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.

The given figure is a cuboid with dimensions (2x + 2), (x + 1), and (x + 3).

The volume of the cuboid is the multiplication of its dimension, therefore, the volume of the cuboid is:

V = (2x +2)(x + 1)(x + 3)

V = (2x² + 2x +2x + 2)(x + 3)

V = (2x² + 4x + 2)(x + 3)

V = 2x³ + 6x² + 4x² + 12x + 2x + 6

V = 2x³ + 10x² + 14x + 6

Hence, the volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

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Answer:

A = 97.5

Step-by-step explanation:

Since A & B are supplementary, the general equation would be:

180 - 82.5 = A

A = 97.5

Answer:

9

Step-by-step explanation:

It is the greatest exponent.

Answer:

Iam very confused on this Answer please help me  

Step-by-step explanation:

Answer:

C :3

Step-by-step explanation:

Whenever our simplification of a linear equation ends in a true statement, in this case 6=6, then our linear equation has infinitely many solutions.

Therefore, our answer is C.

even if we don’t know what x is we’ll still get an infinite amount of solutions

HOPE THIS HELPED :DDDD

Answer:

see explanation

Step-by-step explanation:

For a function each value of x in the domain must map to exactly one unique value of y in the range.

This is the case here so it is a function.

The domain is the x- coordinates of the points

domain is { 5, 6, 7 }

The range is the y- coordinates of the points

range is { 2, 3, 4 }

The common denominator is 1

Given the expression:

Find the LCM of the numerator to have:

Simplify both the numerator and the denominator to have:

[tex]= \dfrac{\frac{b-a}{ab} }{\frac{1}{ab} }\\= \frac{b-a}{ab} \times ab\\=\frac{b-a}{1} \times 1 \\=\frac{b-a}{1}[/tex]

From the result, we can see that the common denominator is 1

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Answer:

here is the correct answer for edge2022

Step-by-step explanation:

The vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

Given the following data:

To find an equation of the vertical line that passes through the given points (14, -16):

The standard form of an equation of line is given by the formula;

[tex]y=mx+b[/tex]

Where:

For any equation of a straight line, the x-coordinate of a vertical line will always be the same irrespective of the point chosen on the vertical line. because a vertical line is perpendicular to the x-axis.

Deductively, the vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

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Answer:

most I know I don't know and I don't want to know

Answer:

is equal to 0

Step-by-step explanation:

points Lang habol

Answer:

Step-by-step explanation:

well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.

Answer:

Growth

Step-by-step explanation:

since the (1.05) is bigger than 1 it is growth but if it was lower then  1 it would be decay .

The exponential function represents the growth and the percentage rate of increase is 5%

The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given exponential function y = 920(1.05)ˣ

since the base value of the function is greater than 1 then the function shows growth.

for the rate of increase,

let x = 0 for the initial value

y = 920(1.05)ˣ = 920(1.05)⁰            (a⁰ = 1)

y₀ = 920

now x =1

y = 920(1.05)ˣ  = 920(1.05)¹

y₁ = 966

percent increase = 100(y₁ - y₀)/y₀

percent increase = 100(966 - 920)/920

percent increase = 100 x 0.05 = 5%

Hence the growth of function at the rate of 5%.

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Answer:

3

Step-by-step explanation:

5 is a term 6b is a term 3d is a term

Step-by-step explanation:

y = 2x + 9

y = -x - 3

there are multiple ways to solve this.

let's follow the approach that both x-expressions must be equal :

2x +9 = -x - 3

3x = -12

x = -4

y = -x - 3 = 4 - 3 = 1

Answer:

Rectangle

Step-by-step explanation:

Did it on

Option A is correct.

As, Quadrilateral PQRS is a rectangle because it has four right angles.

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

Explanation:

Given:

The coordinate of vertices of quadrilateral PQRS are P(3,7), Q(6,-2), R(0,-4), S(-3,5).

Slope for two points (x1,y1) and (x2,y2) is given by:

m = y1-y2/ x1 - x2

.so, we get,

The slope of PQ is = -9/3 = -3

The slope of QR is = -2/-6 = 1/3

The slope of RS is = -3

The slope of SP is = 1/3

we know that,

The slopes of perpendicular lines are opposite reciprocals.

we get,

∴ all pair of sides has slopes that are negative reciprocals;

this means the figure  has 4 right angle, so it is  a rectangle.

Therefore, Quadrilateral PQRS is a rectangle because it has four right angles.

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Step-by-step explanation:

[tex] - 49x + 2.4 = 6 \\ - 49x = 6 - 2.4 \\ - 49x = 3.6 \\ x = \frac{3.6}{ - 49} \\ x = - \frac{18}{245} = - 0.0735[/tex]

Answer:

  yes

Step-by-step explanation:

Put the numbers into the inequality and see if it is true.

Given x = 20, y = 18, ...

  3x + 2y = 3(20) +2(18) = 60 +36 = 96 ≥ 93 . . . . true

You have met the requirements for an A on the test.

Answer: 12 x 8 = 96

Step-by-step explanation:

Thanks c:

Answer:

$750

Step-by-step explanation:

did the problem

Answer:

All I know is that it is the   Last  Option

Step-by-step explanation:

I did most of this mentally but I can kinda help you out :D

original R: (-5,-5)     New R: (-11,-11)

To go back to original R: (-11+6, -11+6)

original U: (-5, 1)        new U: (1,7)

HOPE THIS HELPEDDDD :333

Answer: we need to know what the equation is

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

3 ㏒₄x  = 2 ㏒₄27

㏒₄ x³ = ㏒₄ 27²

As ㏒₄ = ㏒₄

You can write this as,

x³ = 27²

x ³ = 27 × 27

x³ = 3³ × 3³

x ³ = 3⁶

x ³ = 729

x ³ = 9³

There fore,

x = 9

Hope this helps you :-)

Hi!

30 = x

f(x) = -1/5x - 14 find x when f (x) = -8

Set the equation equal to -8

-8 = -1/5x - 14

Add 14 to both sides.

6 = -1/5x

Multiply both sides by -5.

30 = x

Hope this helps! :D

Here

[tex]\\ \sf\longmapsto PD\cong PC[/tex]

As

P is the midpoint of AC and BD

[tex]\\ \sf\longmapsto AC=BD[/tex]

[tex]\\ \sf\longmapsto AP+PC=PD+BP[/tex]

[tex]\\ \sf\longmapsto AP+PC=PC+PB[/tex]

[tex]\\ \sf\longmapsto AP=BP[/tex](Proved)