Factor the expression completely.
18x2 - 32
O A. 2(3x + 2)(3x – 8)
B. 2(9x2 - 16)
O C. 2(3x - 4)(3x - 4)
O D. 2(3x + 4)(3x - 4)

A linear inequality seems exactly like a linear equation where the inequality sign is replaced by the equality sign.

Solution set is the dark region enclosed by both inequality equation shown in attached graph.

Given inequality are, [tex]y\leq 2x+7,y>-\frac{1}{3}x-2[/tex]

By using graphing tool, draw graph of both inequality.

The dark region enclosed by both inequality equation shown in attached graph is solution set for given equation.

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https://brainly.com/question/21130875

Answer:

equal

Step-by-step explanation:

Bag 1 has 3 red cubes and 1 blue cube.  = 4 cubes

Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes

P ( red bag 1) = red /total = 3/4

P (yellow  bag 2) = yellow /total = 1/5

P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20

P ( blue bag 1) =blue /total =1/4

P (green  bag 2) = green /total = 3/5

P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20

The probabilities are equal

Answer:

4

Step-by-step explanation:

Given

2y + 3 ≤ 11 ( subtract 3 from both sides )

2y ≤ 8 ( divide both sides by 2 )

y ≤ 4

Since y has to be less than or equal to 4

Then the largest value y could be is 4

Replace the range for f(x)

So...

0=4-2x

x=2

4=4-2x

x=0

8=4-2x

x=-2

Solve!

These are your domains!

Answer:

3/8

Step-by-step explanation:

We first have to find the probability that the person selected is a male and then multiply that by the probability that the male has a college degree.

There are 12 males and 4 females. There are 16 people in total. The probability of selecting a male is:

12/16 = 3/4

Half of the males have a college degree. Therefore, 6 males have a college degree. The probability that a selected male has a college degree is:

6/12 = 1/2

Therefore, the probability that a male is selected and that the male has a college degree is:

3/4 * 1/2 = 3/8

Answer:

I think its wrong. For g(5)=(5/5)^2=1 and in your graph is something close to 3. The correct graph for [tex]g(x)=(\frac{1}{5}x)^2[/tex] is

Answer:

False

Step-by-step explanation:

Took the test and this is what I got

Answer:

4

Step-by-step example

Slop is the

Answer:

v = 3w

Step-by-step explanation:

Given that

v ∝ w

The, v = k w ---------------(1)

Where k is the constant of proportionality

Now, v = 24, w = 8

Putting in (1)

24 = k(8)

Dividing both sides by 8, we get

k = 3

Putting k =3 in (1)

v = 3w

This is the required equation connecting both

Answer:

The major categories of financial institutions include central banks, retail and commercial banks, internet banks, credit unions, savings, and loans associations, investment banks, investment companies, brokerage firms, insurance companies, and mortgage companies

Step-by-step explanation:

sorry i did not put 2 examples, i put too many examples lollll

Answer:

There are two primary types of financial institutions non-depository and depository.

Step-by-step explanation:

an insurance company would fall under the non-depository group, and a credit union would be defined as a depository institution.

Answer:

1) a. 195 are males

b. Males are the 85 %

2) 1/2

Step-by-step explanation:

Number of all the students: 230

35 are females

x are males

Then 35 + x = 230

x = 230 - 35 → 195

To determine the amount of males, from the total we apply the percent.

Percent = (Amount of males / Total of students) . 100

% = (195 / 230) . 100 = 85 %

2. In first place, Maria spent 13 for the book.

In second place, Maria spent 29 for the pencil box.

In total, she has spent 13+29 = 42

But, how many dolars have the grandpa gave to her?.

We can also apply percent and fractions, where:

(Book / Total) + (Pencil box/Total) + (What she did not spend/Total) = 1

13 + 29 + x = T

13/T + 29/T + x/T = 1, in conclussion x = 42

Total of money given = 84

Then, Maria has not spent the half of money→ 1/2

Answer:

1/2

Step-by-step explanation:

The factors of 8 are 1,2,4

So there are three factors of 8 on the dice

There are a total of 6 numbers on the dice

So the probability is ,3/6

Which in its simplest form is 1/2

Corrected Question

e(x)=840-52.5x

Let e(x) be the elevation, in meters, of a cable car from the ground, x minutes after it begins descending from the top of a hill. Since e(14) = ?, the elevation of the cable car will be meters from the ground minutes after it begins descending from the top of the hill.

Answer:

e(14) =105 meters

Elevation of the cable car 14 minutes after it begins descending from the top of the hill= 105 meters from the ground

Step-by-step explanation:

Given the elevation, e(x) in meters, of a cable car from the ground , x minutes after it begins descending from the top of a hill.

e(x)=840-52.5x

e(14)=840-52.5(14)

e(14)=840-735

e(14)=105 meters

Since e(14) =105 meters, the elevation of the cable car will be 105 meters from the ground 14 minutes after it begins descending from the top of the hill.

Answer:

x=130

Step-by-step explanation:

as vertically opposite angles are equal therefore,

133=X+3

x=133-3= 130

I hope it helps

Answer:

The Correct answer is D

Step-by-step explanation:

I got it right on my test :)

It is indeed false.

[tex]\sin^{-1}x[/tex] is a function that takes values of [tex]x[/tex] between -1 and 1, and takes on values between -π/2 and π/2. Most importantly, it's a function that takes *one* value in its domain and assigns it to exactly *one* value in its range. Hence [tex]\sin^{-1}x[/tex] is one-to-one.

It's true that [tex]\sin x=\frac45[/tex] has infinitely many solutions, but [tex]\sin x[/tex] itself is not one-to-one.

Answer:

False

Step-by-step explanation:

Answer:

10 3/25

Step-by-step explanation:

46/100x22 =46x22 divide by 100

1012/100

10 12/100 both twelve and hundred can be divided by 4 thus final answer is ten whole(10) and three over twenty five(3/25)

Answer:

y=0

correct way to solve it is y= xtan(theta)

Step-by-step explanation:

You did not mention if it is trigonometry but we assume that it is.

In trigonometry, a point with x-coordinate = 1 at a circle is horizontal line. the angle at this point is 0.

The correct way to solve it is to say tan = opposite/adjacent

since the angle is zero, and adjacent side x=0, tan 0=opposite/1

opposite (y) = 1 tan 0

y = 1*0 =0

Answer:

d

Step-by-step explanation:

u do the thing and u do it right and somehow it equals 2 (edge 2022)

Answer:

The first option, RT.

Step-by-step explanation:

Answer:

Brain to me plz

Step-by-step explanation:

2/7 is the balls are not red, so 2/7 multiplyed by 56

which is 16

Answer:

16 balls

Step-by-step explanation:

If 5/7 of the balls are red then the fraction of balls that are not red is;

[tex]\frac{7}{7} - \frac{5}{7} = \frac{2}{7}[/tex]

Which means 2/7 of the balls are not red. So to get the number;

[tex]= \frac{2}{7} * 56 \\= 2 * 8\\[/tex]

= 16

∴16 balls are not red

Answer:

120

Step-by-step explanation:

The sum of the angles in a quadrilateral is 360 degrees

2t+t+2t+t = 360

6t = 360

Divide by 6

6t/6 = 360/6

t = 60

Angle Z = 2t

Angle Z = 2*60 = 120

Answer:

[tex]120 \: \: degrees[/tex]

Second answer is correct.

Step-by-step explanation:

The sum of the angles in a qudrilateral = 360°

[tex]t + 2t + t + 2t = 360 \\ 6t = 360 \\ \frac{6t}{6} = \frac{360}{6} \\ t = 60[/tex]

angle z

[tex]2t = 60 \times 2 \\ \: \: \: \: \: \: \: = 120[/tex]

Answer:

a) (5, 7, 9, 11, 13, 15, 17, 19, ...) Recursivo

b) (1, 4, 9, 16, 25, 36, 49, 64, ...) Recursivo

c) (1, 8, 27, 64, ...) Recursivo

d) (2, 5, 8, 11, 14, 17, ...) Recursivo

Step-by-step explanation:

Uma função recursiva é aquela em que os termos subsequentes da função são calculados com base nos termos anteriores

O comportamento recursivo é exibido pelos objetos quando consiste em seguir as partes;

1) Uma base que é predefinida

2) Um processo ou etapa recursiva que produz termos subsequentes pela aplicação de certos processos

Para a série;

a) (5, 7, 9, 11, 13, 15, 17, 19, ...)

Aqui 5 é a base e os termos subsequentes são encontrados adicionando 2 ao termo anterior, portanto, é uma função recursiva

aₙ = aₙ₋₁ + 2

b) (1, 4, 9, 16, 25, 36, 49, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados ao quadrado da soma da raiz do termo anterior e 1, portanto, é uma função recursiva

aₙ = (√ (aₙ₋₁) + 1) ²

c) (1, 8, 27, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados elevando à potência de três a soma da raiz cúbica do termo anterior e 1, portanto, é uma função recursiva

aₙ = (∛ (aₙ₋₁) + 1) ³

d) (2, 5, 8, 11, 14, 17, ...)

Aqui 2 é a base e os termos subsequentes são encontrados adicionando 3 ao termo anterior, portanto, é uma função recursiva.

Answer:

C. Hollow cone frustum

Step-by-step explanation:

Revolved it in my head, because the line isn't touching the triangle it will be hollow, because the triangle has a slope the shape will taper.

Answer:

12 meters

Step-by-step explanation:

Looking at the problem we can see that it typifies a right angled triangle. The rope running from the top of the flagpole to the hook on the ground is the hypotenuse of the triangle. Let us call this hypotenuse c. Let the distance between the hook and the foot of the flagpole be b. Let the height of the flagpole be a.

From Pythagoras theorem;

c^2 = a^2 + b^2

a^2= c^2 - b^2

a= √c^2-b^2

From the question

c= 13 metres

b= 5 metres

a= the unknown

a= √c^2-b^2

a= √(13)^2 - (5)^2

a= √169 - 25

a= √144

a= 12 meters

Answer:

The flagpole  12 meters tall

Step-by-step explanation:

Running from the top of a flagpole to a hook in the ground there is a rope that is 13 meters long

∵ The hook is 5 meters from the flag pole

∵ The flagpole and the ground ⊥ to each other

By using Pythagoras theorem:

hypothenus side is 13m

base is 5m

how tall is the flagpole is x

[tex]13^2=x^2+5^2\\\\169=x^2+25\\\\x^2=169-25\\\\x^2=144\\\\x=12m[/tex]

The flagpole  12 meters tall

All direct proportional graphs go through the origin (0,0). So this is where one point could go. The second point is found by going up 5 units and then to the right 3 units to get to (3,5)

The equation of this line is y = (5/3)x

Answer:

yesssssssssssssssssssssssssssssss

Answer:

Equal.

Step-by-step explanation:

The volume of the rectangular prism is:

V = length x width x height

V = 3a x 2b x c

V = 6abc

The volume of the pyramid is:

V = (base area x height)/3

V = (a x b x 18c)/3

V = 18abc/3

V = 6abc

The two volumes are equal.

Answer:

A

Step-by-step explanation:

The solution to these two graphs will be when they are equal. Therefore:

[tex]x^3+3=x^2+2 \\\\x^3-x^2+1=0 \\\\x\approx -0.755\approx -\dfrac{13}{16}[/tex]

Hope this helps!

Answer:

-13/16

Step-by-step explanation:

f(x)=x^3+3

g(x)=x^2+2

We know the solution is around -1

x^3+3 = x^2 +2

Subtract x^2+2 from each side

x^3 -x^2 -1 = f(x)

We need to find the derivative

3x^2 -2x = f'(x)

Newtons method of successive approximation states

xn+1 = xn -f(xn) / f'(xn)

Function

x3−x2+1

Derivative

x⋅(3⋅x−2)

x

-0.75488

Iterations

Step x F(x) |x(i) - x(i-1)|

x1 -0.8      -0.152000 0.152000

x2 -0.75682 -0.006259 0.006259

x3 -0.75488 -0.000012 0.000012

The approximate answer is -0.75488

The closest answer given is -13/16

Answer:

Step-by-step explanation:

49 is a perfect square, since it equals 7*7; 56 is not. If you have 35.2 and 37T, 36 is the perfect square between the two integers. Take the square root of the perfect square. If you have your square roots for memory, you know that the square root of 36 is equal to 6.

Answer:

m=1/7x

Step-by-step explanation:

Answer:

[tex] slope= \frac{1}{7} [/tex]

Step-by-step explanation:

[tex](3 \: \: \: \: \: \: \: 2) = > (x1 \: \: \: \: \: \: \: x2)\\ (10 \: \: \: \: 3) = > (y1 \: \: \: \: \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{2 - 3}{3 - 10} \\ = \frac{ - 1}{ - 7} \\ = \frac{1}{7} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

A and D

Step-by-step explanation:

We have to create a perfect square. To make x^2+bx+c into a perfect square, c has to be (b/2)^2. In this case, b is -10. so, c has to be (-10/2)^2, which is 25. To make the left hand side 25, we would have to add 30 to both sides.

This leads to a new equation:

x^2 - 10x + 25 = 9+30

x^2 - 10x + 25 = 39

Now, we can change the left hand side to a perfect square.

(x-5)^2 = 39. (the -5 is b/2)

Then we square root both sides;

x-5 = +/- sqrt39. (When you square root an expression, remember that you need to include both the positive AND negative)

x = 5-sqrt39 or 5+sqrt39