Which is true about the solution to the system of inequalities shown? y > 3x + 1 y 3x + 1 are solutions. Only values that satisfy y 3x + 1 or y < 3x – 3 are solutions. There are no solutions.

Answer:

Step-by-step explanation:

Given the equation d/10 = 12. To get the value of d, the follwoing steps can be used to solve for the value of d;

Multiply both sides by 10

d/10 * 10 = 12*10

d = 120

It can be seen from the calculation above that multiplication operation was used to get the solution to the equation. It can therefore be concluded that the multiplication property of equality  was used to solve the equation.

Answer:

The answer is (x + 5)(x - 5).

Step-by-step explanation:

Assuming that 25 is a perfect square so you can apply :

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

Test :

[tex](x+5)(x-5) = {x}^{2} - 5x + 5x - 25 [/tex]

[tex](x+5)(x-5) = {x}^{2} - 25 [/tex]

Answer:

[tex]\boxed{(x-5)(x+5)}[/tex]

Step-by-step explanation:

x² - 25

Factor out square.

(x)² - (5)²

Apply difference of two squares formula.

a² - b² = (a-b)(a+b)

a = x

b = 5

x² - 25 = (x-5)(x+5)

Answer:

Step-by-step explanation:

You have the following hyperbola:

[tex]\frac{x^2}{32}-\frac{y^2}{82}=1[/tex]              (1)

The general for of a hyperbola:

[tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]

To construct the graph you take into account the rectangle formed by the lines x=±a and y=±b, and the asymptotes of the diagonals of the rectangles.

Furthermore, you take into account the foci of the hyperbola, which are

(0,±a).

Then, you have the lines

x = ± √32

y = ± √82

And the foci:

(0, ± √32)

The graph is shown in the attached image.

Answer:

D

Step-by-step explanation:

On edg

Answer:

The answer is P - Q and Q - R are true statements, the P - R is a true statment

Answer:

30

Step-by-step explanation:

It's just not a perfect square.

Answer:

30

Step-by-step explanation:

Perfect squares are numbers that can be expressed by another numbers times itself. The only number that is not a perfect square in this list is 30.

Answer:

440,816 miles per day

Step-by-step explanation:

Answer:

The answers are A and C. for A P E X.

Step-by-step explanation:

The option(A) minimum y-value of g(x) approches -3 and option(C) f(x) has the smallest possible y-value are correct.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

[tex]\rm f(x) = 3x^2-3[/tex]

As we can see in the graph the first term is 3x² and is always positive for all x.

The range for f(x) ∈ [-3, ∞)

When x = 0

f(x) = -3

The above value is the smallest possible value on the y-axis.

For function:

[tex]\rm g(x) = 2^x-3[/tex]

[tex]\rm 2^x[/tex] is also a positive quantity and it is an exponential function.

The range for the g(x) ∈ (-3, ∞)

It means g(x) never toches the y-axis at -3.

We can say the minimum value of g(x) approaches -3

Thus, the option(A) minimum y-value of g(x) approches -3 and option(C) f(x) has the smallest possible y-value are correct.

Learn more about the function here:

brainly.com/question/5245372

Hope you understand :)

Answer:

9f^2 - 12f + 4.

Step-by-step explanation:

(3f - 2)^2

= (3f - 2)(3f - 2)

= 9f^2 - 6f - 6f + 4

= 9f^2 - 12f + 4

9[tex]f^{2}[/tex] - 12f + 4.

Hope this helps!

Answer:

h = 1.38 cm

Step-by-step explanation:

The question is at what value is the height of both cylinders the same:

The area of the circular base on each cylinder is:

[tex]Area=\pi r^2\\A=4\pi \ cm^2\\B=25\pi \ cm^2[/tex]

The initial volume in cylinder A is:

[tex]V=4\pi *10\\V=40\pi\ cm^3[/tex]

We have that Va + Vb = 40π. The height of water in each cylinder as a function of volume is:

[tex]h_A=\frac{V_a}{4\pi}\\h_B=\frac{V_b}{25\pi}[/tex]

If both heights are the same:

[tex]\frac{V_a}{4\pi}=\frac{V_b}{25\pi}\\V_b=\frac{25}{4}V_a \\V_a+V_b=40\pi\\V_a+\frac{25}{4}V_a=40\pi\\V_a=5.5172\pi\ cm^3[/tex]

The height 'h' is:

[tex]h=\frac{5.5172\pi}{4\pi}\\ h=1.38\ cm[/tex]

Answer:

x=45

Step-by-step explanation:

the sum of straight angle=180

2x+45+x=180

3x=180-45

3x=135

x=135/3=45

Answer:

45 degree

Step-by-step explanation:

Since it is an straight line it means all of the added angles together equal 180

2x+45+x=180

3x+45=180

3x=135

x=135/3

x=45

Hey there! :)

Answer:

[tex]\frac{121}{9}[/tex]

Step-by-step explanation:

We can solve this by first converting -3 2/3 to an improper fraction:

[tex]-3\frac{2}{3} = \frac{-11}{3}[/tex]

Square the fraction:

[tex](\frac{-11}{3})^{2} = (\frac{-11}{3}) * (\frac{-11}{3}) = \frac{121}{9}[/tex]

Answer:

3(3a+2b)

Step-by-step explanation:

9a+6b

3 times 3a=9a

3 times 2b=6b

Answer:

3(3a+2b)

Step-by-step explanation:

9a+6b

3²•a+(2.3)b

3(3²•a/3 +2•3b/3)

3(3²-¹ •a +2b)

3(3a+2b)

Answer:

C

Step-by-step explanation:

so

a≤b

b≤c

definitely a can't be more of c

at last, equal

so a≤c

Answer:

Dependent sample

Step-by-step explanation:

The sample: a data set includes the morning and evening temperature for the last 90 days.

The samples are dependent in that they are paired measurements on just one set of item which is the temperature.

These measurements are related in such a way that the each observation in one sample can be paired with an observation in the other sample.

Answer:

The answer is C. 16x² - 56xy + 49y²

Step-by-step explanation:

A perfect square trinomial is the result of a squared binomial, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.

Answer:

7

Step-by-step explanation:

Since the triangles are similar, we can use ratios

15        21

----- = ---------

5         PR

Using cross products

15 PR = 21*5

Divide each side by 15

PR = 21*5/15

PR = 7

Answer: yes it would be 7

Step-by-step explanation:

Answer:

using identity (a+b)(a-b) = a^2 -b^2

Answer:

x+2

Step-by-step explanation:

write the problem out and then understand

Answer:

Here are some rational numbers less than 5:

4, 4.2, -3, 0, 1/10, -5/16

A rational number is a number than can be written as a fraction of integers.

Answer:

rational numbers below 5 are 4,3,2,1,-1,-2,-3,-4 e.t.c

Answer:

(5, -3)

Step-by-step explanation:

(-16+x)/2 = -5.5 => x=5

(4+y)/2 = 0.5 => y=-3

Step-by-step explanation:

the answer would be 40 4x 10x h = 4x

Answer:

Step-by-step explanation:

The question is not correctly written, here is the correct question.

If h(x) = 5 + x and k(x) = 5, which expression is equivalent to (koh)(x)?

(koh)(x) can be rewritten as k{h(x)}

Since h(x) = 5+x then,  k{h(x)} = k(5+x)

Note that k(x) can be written as 5x°

k(5+x) = 5(5+x)°

Since any value raise to the power of zero is 1, then;

k(5+x) = 5(1)

k(5+x) = 5

(koh)(x) =  k{h(x)}  = 5

For (hok)x;

(hok)x = h{k(x)}

= h(5)

= h(5x°)

Since h(x) = 5+x

h(5x°) = 5+5x°

h(5x°)= 5+5 = 10

(hok)x = h(k(x)) = 10

Answer:

KM = 15

Step-by-step explanation:

From the diagram, ΔJKL and ΔJKM are similar to each other because they share the same angle J and they are both right angle triangle. Therefore they are similar by AA property.

Since JL=25 and JM=5, JM = JL + JM= 25 + 5 = 30

Since ΔJKL and ΔJKM are similar to each other, therefore:

[tex]\frac{JK}{JL}=\frac{JM}{JK}\\ Substituting:\\\frac{JK}{30}=\frac{5}{JK}\\JK^2=150\\JK=\sqrt{150}\\ \\From\ hypotenuse:\\JK^2=JM^2+KM^2\\Substituting:\\(\sqrt{150} )^2=5^2+KM^2\\150=25+KM^2\\KM^2=150-25=125\\KM=\sqrt{125}\\ KM=15[/tex]

Answer:

sinY = 2

or

x = 2

Step-by-step explanation:

None of the above answer choices are correct. If you solve for sinY:

sin30° = x/4

4sin30° = x

x = 2

Now that we have x, we use our special right triangle rules for 30-60-90 triangles. The angle across the 30° is x, the angle across the 60° is x√3 and our hypotenuse is 2x. Our answer would still be x = 2, so none of the answer choices are correct.

Answer: 1/2

Step-by-step explanation:

Answer:

D.   22.5 sq. un.

Step-by-step explanation:

W divides BU so that there is a ratio of 1;2 meaning that there are 3 parts.

That means that 3 parts is BUV; we know that one of those parts is 4.5 sq. un. so 4.5*3=13.5 sq. un.  - Also 4.5*2=9 to get WUV

V is the midpoint of the line BS so that means that BUV and UVS are equal

we know that BUV is 13.5 so we multiply that by 2 to get the whole triangle

=27

The last step is to get rid of BVW which we know is 4.5

27-4.5=22.5

Answer:

I hope it will help you.......

Answer:

see below

Step-by-step explanation:

red triangle= 36/2= 18

orange circle= 45- 18= 27

blue square= 53- 27= 26

Step-by-step explanation:

red= 18

yellow= 27

blue= 26

Answer:

C.  

Step-by-step explanation:

5/8 = 20/32

20/32 ÷ 2 = 10/16

10/16 ÷ 2 = 5/8

Answer:

C

Step-by-step explanation:

You can see that both of the numbers are being multiplied by 4/4 which gives you a proportional relationship unlike the other answers there.

Answer:

Step-by-step explanation:

[tex]\frac29x+3>4\frac59\\{}\quad-3\quad-3\\\\\frac29x\ >\ 1\frac59\\\div\frac29\quad \, \div\frac29\\\\x>1\frac59\div\frac29\\\\x>\frac{14}9\times\frac92\\\\x>\frac{7}1\times\frac11\\\\x>7[/tex]

That means every x wich is greater than 7