Which graph represents the solution set of the inequality 3x + 2y < 4?

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:

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:

It is C √2/2

Step-by-step explanation:

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".

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

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: 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

Answer:

5:20

12:48

11:44

Step-by-step explanation:

I just multiplied them by 4

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.

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Answer:

Rotational Symmetry

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

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:

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:

b = 6

Step-by-step explanation:

a² + b² = c²

8² + b² = 10²

8² + b² - 8² = 10² - 8²

b² = 100 - 64 = 36 = 6²

b = 6

Answer:

14 units

Step-by-step explanation:

In the diagram, the length of segment QV is 15 units. What is the length of segment TQ?

Solution:

A triangle is a shape with three sides and three angles. Types of triangles are isosceles triangle, equilateral triangle, scalene triangle, right angled triangle.

Two triangles are said to be congruent if all the corresponding three sides and three angles of one triangle is equal to the corresponding three sides and three angles of the other triangle.

Triangle SRV and triangle RQV are congruent triangles by side angle side congruency (i.e. SR = RQ, RV ≅ RV and ∠SRV = ∠QRV = 90°). Therefore:

SV = QV

4x - 1 = 15

4x = 16

x = 4 units

Triangle SRT and triangle RQT are congruent triangles by side angle side congruency (i.e. SR = RQ, TR ≅ TR and ∠SRT = ∠QRT = 90°). Therefore:

TQ = TS

3x + 2 = TS

TS = 3(4) + 2 = 12 + 2

TS = 14 units

Answer:

B

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

first you have y=mx+b

then b=4

and m=0

so it is

y=0x+4

or y=4

Answer:

2 now mqrk MEEEE

Step-by-step explanation:

Answer:

ABC is isosceles

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: The final answer is 10. 10 is the distance between the 2 points given.

Step-by-step explanation:

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:

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:

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:

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.

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the answer should be 8..

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.

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