Which relationships have a constant of proportionality equal to 25? Pick 2 answers

Answer: 5x^2 + 8x - 1 = 0

Step-by-step explanation:

-5x^2 - 6x + 1 - 2x = 0

5x^2 + 6x + 2x - 1 = 0

5x^2 + 8x - 1 = 0

a > 0

Given:

A certain function h(x) contains the point (8,-2).

To find:

The value of [tex]h^{-1}(-2)[/tex].

Solution:

If a function is defined as

[tex]f(x)=\{(a,b):a\in R,b\in R\}[/tex]

Then, its inverse is defined as

[tex]f^{-1}(x)=\{(b,a):a\in R,b\in R\}[/tex]

It is given that, a certain function h(x) contains the point (8,-2). It means, its inverse [tex]h^{-1}(x)[/tex] contains the point (-2,8). So, the value of inverse function is 8 at x=-2, i.e.,

[tex]h^{-1}(-2)=8[/tex]

Therefore, the value of [tex]h^{-1}(-2)[/tex] is 8.

Answer:

339.3 cm

Step-by-step explanation:

12 • 12 = 144

Find 144π

Find 3/4 of it

Answer:

339.3 to nearest tenth of cm^2.

Step-by-step explanation:

This is 3/4 of a circle so the area is:

3/4 * pi r^2

= 3/4 * 12^2 pi

=  108 pi

= 339.292

Answer:

$10800

Step-by-step explanation:

$12000 is the original price so let's set that as 100%. Since there's a 10% discount, you have to find out the 90% soo.

100% - $12000

90% - $12000 x 90/100 = $10800

Answer:

[tex]x^2[/tex] = [tex]8^2[/tex] = 64

[tex]15^2[/tex] = 225

[tex]17^2[/tex] = 289

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side. The Pythagorean theorem states;

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

Where "a" and "b" are the legs, and "c" is the hypotenuse.

It is given that;

b = 15.

c = 17

a = x

[tex]x^2[/tex] + [tex]15^2[/tex] = [tex]17^2[/tex]

[tex]x^2[/tex] + 225 = 289

[tex]x^2[/tex] = 64

x = 8

To find the area of a square, one has to raise one of the sides to the power of two.

[tex]x^2[/tex] = [tex]8^2[/tex] = 64

[tex]15^2[/tex] = 225

[tex]17^2[/tex] = 289

Answer:

B

Step-by-step explanation:

Answer:

None are you sure you have the right expressions.

Step-by-step explanation:

(4x^4/2x^3)^3=(2x^4*x^3)^3=(2x^7)^3=8x^21

Answer:

The solution is:

[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]

Please check the attached line graph below.

Step-by-step explanation:

Given the expression

[tex]-7r-4\ge \:4r+2[/tex]

Add 4 to both sides

[tex]-7r-4+4\ge \:4r+2+4[/tex]

Simplify

[tex]-7r\ge \:4r+6[/tex]

Subtract 4r from both sides

[tex]-7r-4r\ge \:4r+6-4r[/tex]

Simplify

[tex]-11r\ge \:6[/tex]

Multiply both sides by -1 (reverses the inequality)

[tex]\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)[/tex]

Simplify

[tex]11r\le \:-6[/tex]

Divide both sides by 11

[tex]\frac{11r}{11}\le \frac{-6}{11}[/tex]

Simplify

[tex]r\le \:-\frac{6}{11}[/tex]

Therefore, the solution is:

[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]

Please check the attached line graph below.

Answer:

The value of exponential function: y = 0.2(0.5)ˣ

Step-by-step explanation:

We know that the exponential function is of the form

y = abˣ

From the table, it is clear that

when x = 0, y = 0.2

so substitute x = 0, y = 0.2

[tex]0.2\:=\:ab^{0}[/tex]

0.2 = a × 1        ∵ b⁰ = 1

0.2 = a

so, we have a = 0.2

now substitute x = 1 and y = 0.1

y = abˣ

0.1 = 0.2×b¹

0.1 = 0.2×b

b = 0.1/0.2

b = 0.5

now substituting a = 0.2 and b = 0.5

y = abˣ

y = 0.2(0.5)ˣ

Therefore, the value of exponential function: y = 0.2(0.5)ˣ

Answer:

It is C √2/2

Step-by-step explanation:

The probability of getting 6 the first time and an even number the second time is 1/12.

probability is the quantification of possibilities in numbers.

(1) probability of rolling a 6 for the first time:

total possible outcomes = (1,2,3,4,5,6) =6

sample space = 1

probability of getting 6 = sample space/total possible outcomes

probability of getting 6 = 1/6

2)probability of getting an even number

total possible outcomes will be (1,2,3,4,5,6)

sample space  =  (2,4,6) ie 3

probability of this = 3/6 = 0.5

total probability = 1/6*0.5 = 1/12

therefore,

The probability of getting 6 the first time and an even number the second time is 1/12.

to get more about probability refer to:

https://brainly.com/question/24756209

Answer:

Using the slope-intercept form, the slope is −35 . The equation of a perpendicular line to y=−3x5+3 y = - 3 x 5 + 3 must have a slope that is the negative reciprocal of the original slope.

Answer:

b = 6

Step-by-step explanation:

a² + b² = c²

8² + b² = 10²

8² + b² - 8² = 10² - 8²

b² = 100 - 64 = 36 = 6²

b = 6

Options :

Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answer:

Determine whether the equation has the form x = a

Step-by-step explanation:

Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3

-3(x + 1) + 3x = - 3(x - 1) + 3

If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'

Expanding :

-3x - 3 + 3x = - 3x + 3 + 3

-3x + 3x -3 = - 3x + 6

-3 = - 3x + 6

-3 - 6 = - 3x

-9 = - 3x

x = 9/3

x = 3

Answer:

B -15

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

she has -15

[tex]a = - 14 \\ c = - 12 \\ b = - 9[/tex]

The solution is, the values of a = -14, b= -9, c = -12.

Rows and columns of numbers are arranged in a matrix. A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.

here, we have,

A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns.

We have a matrix of order 4 x 4 where the number of rows are 4 and number of column are 4.

and, the resultant matrix is also of order 4 x 4 where the number of rows are 4 and number of column are 4.

we get,

the addition of the two given matrices is,

[tex]\left[\begin{array}{ccc}-4 &1&1\\-14&7&12\\18&-9&3\\-8&-12&17\end{array}\right][/tex]

Then, the values of a = -14, b= -9, c = -12.

Learn more about Matrix here:

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Answer:

it will take her 40 seconds to finish the race.

3/8 per minute, would make it 1/8 every 20 seconds. since she only has 2/8 of a mile left to go, 20 seconds +20 seconds = 40 seconds

(if you needed how long it takes her to run the whole race, it's 2 minutes 40 seconds, which would make her the fastest mile runner in the world)

Step-by-step explanation:

I hope this helps :)

Answer:

A) 2^3

B)3^4

C)4^3*5^2

D)9^4*7^2

Step-by-step explanation:

Answer:

3 because if you can only make two groups of three

(and how do you not know this? I really dont want to be rude)

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.80 + 1.05 = 2.85

3.00 - 2.85 = .15 inches

Answer:

P=length of each of the 4 pieces

(8' - 0.25')/4=P

Step-by-step explanation:

P=length of each of the 4 pieces

(8' - 0.25')/4=P

6/4 is the length of the each ribbon piece.

Two or more expressions with an Equal sign is called as Equation.

Given that Elena has a 8 foot piece of ribbon.

Elena cuts off a piece that is 1/4 of a foot long.

The ribbon cutt off by Elena is 1/4×8=2

The remaining ribbon is given by 8-2=6

cuts the remaining piece into four pieces of equal lengths.

6/4.

Hence, 6/4 is the length of the each ribbon piece.

To learn more on Equation:

https://brainly.com/question/10413253

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Answer:

y = 12x-15

Step-by-step explanation:

The equation of a line is given by :

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

Where

m is slope and c is y-intecept.

Here, the slope is 12 and y-intercept is -15.

Then the equation is :

y = 12x+(-15)

or

y = 12x-15

Hence, the required equation for the line is "y=12x-15".

Answer:

Step-by-step explanation:

Given the functions

f(x) = 3x² + x and g(x) = 2x

We are to find g(f(x))(-4)

First get g(f(x))

g(f(x)) = g(3x²+x)

Substitute x in g(x) with 3x²+x to have:

g(3x²+x) = 2((3x²+x))

g(3x²+x) = 6x² + 2x

Substitute  = -4 into the result

g(f(x) (-4)) = 6(-4)² + 2(-4)

g(f(x) (-4)) = 6(16)-8

g(f(x) (-4)) = 96 - 8

g(f(x) (-4)) = 88

Hence the required answer is 88

Answer:

Rotational Symmetry

Step-by-step explanation: It stays the same when rotated

Answer:

216

Step-by-step explanation:

2+30-3+232+8-53

32-3+232+8-53

29+232+8-53

261+8-53

269-53

216

the answer should be 8..