David performed the following mathematical operation:
3x+4
x-1)3x +x-4
He was left with a remainder of zero. Which of the following statements must
be true?

Answer:

y - 2 = 3(x - 5).

Step-by-step explanation:

We need to find the slope of the line.

[2 - (-10)] / [5 - (-1)] = (2 + 10) / (5 + 1) = 12 / 6 = 2 / 1 = 2

So, y1 = 2, x1 = 5, and m = 2.

y - 2 = 3(x - 5)

Hope this helps!

The formula for point slope is written as y - y1 = m(x -x1)

You are given y - 2 = ?

Since the 2 form the point (5,2) is the y1 value, then the 5 is equal to x1

The formula becomes: y-2 = m(x-5)

Now solve for the slope, which is the change in y over the change in x:

Slope = -10 - 2 / -1 - 5 = -12/-4 = 3

Now replace m to get y-2 = 3(x-5)

Answer: 12

Step-by-step explanation:

Order requirement:

Size ; flavor and topping

Available variety:

Size = 2

Flavor = 1

Toppings = 6

Number of different ice-cream desserts which can be ordered :

Since one of each of size, topping and flavor must be selected :

(Number of available flavors * number of Toppings available * number of sizes available)

1 * 6 different Toppings = 6 varieties

6 varieties * 2 different sizes = 12 varieties

Therefore, there are 12 different variety of ice-cream dessert she can order.

Answer:

4y miles

Step-by-step explanation:

Max : x miles per hour

Sven: y miles per hour  slower

        x-y is the speed for Sven

We know that distance = speed * time

Distance for Max = x*t

Distance for Sven = (x-y) * t = xt - yt

The difference in distance is Max's distance minus Sven's distance

xt - ( xt-yt)

xt - xt +yt

yt

Max is yt miles ahead where t is the time

The time is noon to 4  which is 4 hours

Changing t to 4

The distance ahead is 4y miles

Answer:

A

Step-by-step explanation:

all sides of square is 90degrees

Since AC and BD is the same, when you join the lines together, it will definitely be a square

Hi there, again! Hopefully this helps, again!

------------------------------------------------------------------------------------------------------------

Since she has 3 coats, 2 scarfs, and 1 glove:

She has 6 ways to choose a coat, a scarf, and a glove(s).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My 6 combinations:

1.) Red coat, black scarf, white glove(s).

2.) White coat, grey scarf, white glove(s).

3.) Pink coat, black scarf, white glove(s).

4.) Red coat, grey scarf, white glove(s).

5.) White coat, black scarf, white glove(s).

6.) Pink coat, grey scarf, white glove(s).

Answer:

Coordinate D

Step-by-step explanation:

Answer:

x = 56

Step-by-step explanation:

Well if both lines are straight that means that 118 is on both sides,

180 - 118 = 62

So angle E and F are both 62.

So we do 62 *2 = 124.

180 - 124 = 56

x = 56

Thus,

angle x is 56.

Hope this helps :)

Answer:

75 green marbles

Step-by-step explanation:

From the information given in the question, we can create a ratio representing all the marbles in the bag.

9 red:15 green:6 blue

We need to find the total number of times the student drew a marble by finding the sum

9+15+6= 30

The sample size is 30

150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles

9x5=45

15x5=75

6x5=30

Now we have 45 red: 75 green: 30 blue

Based on the given information, we can predict that the bag contains 75 green marbles

Answer:

36 and 24

Step-by-step explanation:

Answer:

Part a : 20 units², Part d : 12 units²

Step-by-step explanation:

We are given that the side lengths of each square is 6 units. In this case we can calculate the area of the triangles, subtracting from the area of the outer square, such that we calculate the remaining, area of the shaded region / inscribed square.

Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,

Area of Common Triangles ( 4 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] ( 6 - 2 ) = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] 4 = 4,

4 [tex]*[/tex] 4 = 16 units²

Area of inscribed Square = 36 units² - 16 units² = 20 units²

For this second case the inscribed shape is not a square, but it can be calculated through a similar approach,

Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,

Area of Common Triangles ( 2 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 4 [tex]*[/tex] 6 = 2 [tex]*[/tex] 6 = 12,

12 [tex]*[/tex] 2 = 24 units²

Area of inscribed shape = 36 units² - 24 units² = 12 units²

Answer:

0.2

Step-by-step explanation:

10v=2

v=2/10

v=0.2

Answer:

The temperature order are;

(b) 96.62 K = (d) 96.62 K > (a) 48.31 K = (c) 48.31 K = (e) 48.31 K =  (f) 48.31 K

Arrangement in order from highest to lowest and alphabetically gives;

(b) ↔ (d) → (a)↔ (c)↔ (e)↔ (f)

Step-by-step explanation:

From the universal gas equation

P×V = N×k×T

Where:

P = Pressure

V = Volume

N = Number of molecules

k = Boltzmann constant = 1.38 × 10⁻²³ J/K

T = temperature

Therefore;

[tex]T =\dfrac{P \times V}{k \times N}[/tex]

Which gives;

(a) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have

100000*0.004/(6*10^(23)*1.38*10^(-23)) = 48.31 K

(b) When P = 200 kPa = 200,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have

200000*0.004/(6*10^(23)*1.38*10^(-23)) = 96.62 K

(c) When P = 50 kPa = 50,000 Pa, V = 8 L = 0.008 m³, N = 6 × 10²³, we have

50000*0.008/(6*10^(23)*1.38*10^(-23)) = 48.31 K

(d) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have

100000*0.004/(3*10^(23)*1.38*10^(-23)) = 96.62 K

(e) When P = 100 kPa = 100,000 Pa, V = 2 L = 0.002 m³, N = 3 × 10²³, we have

100000*0.002/(3*10^(23)*1.38*10^(-23)) = 48.31 K

(f) When P = 50 kPa = 50,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have

50000*0.004/(3*10^(23)*1.38*10^(-23)) = 48.31 K

Answer:

I'm not completely sure but I believe it's (4^2)*12

Step-by-step explanation:

To find the amount of window panes there are, we have to find how much window pains are in each window. So we have a 4 by 4 so that's 16. Since 4 and 4 are the same numbers, we can raise 4 to the power of two to get 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes

Answer:

(4^2)*12

Step-by-step explanation:

Answer:

horizontal shift can affect the linear function, because it is impossible to distinguish which transformation was applied by looking at the resulting graph.

Step-by-step explanation:

a horizontal shift is a movement left to right along the x-axis, and in equation of a function it's change in the value of x before it's multiplied by the slope.

Answer:

I agree with Lambina and added this answer so she could get brainliest

Step-by-step explanation:

Answer:

A 180 degree counterclockwise rotation about the origin followed by a translation 5 units to the right

Step-by-step explanation:

Answer:

translation down 5, rotation 180°

Step-by-step explanation:

Answer:

15 pupcakes

Step-by-step explanation:

Purple is 1 out of 4 sections

1/4  times the number of total pupcakes

1/4 * 60

15

Answer:

B. sin(theta) cos^2(theta)

Step-by-step explanation:

sin^2(theta) / csctheta tan^2(theta)

To solve, we convert to sine and cosine and then simplify.

means by the priority of operators (* and / from left to right)

(sin^2(theta) / csctheta) * tan^2(theta)

= sin^2(theta) / (1/sin(theta) * (sin(theta)/cos(theta)^2

= sin^2(theta) * sin(theta) * sin^2(theta) / cos^2(theta)

= sin^5(theta) / cos^2(theta)

which obviously does not correspond to any of the answers.

IF the expression were missing parentheses in the denominator, then it becomes:

sin^2(theta) / (csctheta tan^2(theta))

= sin^2(theta) / (1/sin(theta) * sin^2(theta) /cos^2(theta))

= sin^2(theta) / (sin(theta)/cos^2(theta)

= sin(theta) cos^2(theta)

which corresponds to answer B.

Answer:

[tex]\Large \boxed{\bold{B.} \ \mathrm{sin(\theta) \cdot cos^2(\theta) }}[/tex]

Step-by-step explanation:

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{ csc(\theta) \cdot tan^2(\theta)} }[/tex]

Simplify the expression.

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{1}{sin} (\theta) \cdot \frac{ sin^2(\theta)}{ cos^2(\theta)} } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{sin^2 }{sin} (\theta) \cdot cos^2(\theta) } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) \cdot cos^2(\theta) } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) } \cdot cos^2(\theta) }[/tex]

[tex]\displaystyle \mathrm{sin(\theta) \cdot cos^2(\theta) }[/tex]

Answer:

48.28 cm

Step-by-step explanation:

The shortest distance would be to travel diagonally to the top-right corner, and then travel along the edge to B,

Diagonal = 20^2+20^2=c^2

400+400=c^2

800=c^2

square root of 800=c

c=28.28

Edge = 20

Total: 20+20.28=48.28 cm

Answer:

the answer is the last one

Step-by-step explanation:

it is in form of f(x) = mx + b and mx is the slope and b is the y intercept

Answer:

f(x)= 2x - 6

Step-by-step explanation:

Answer:

No more than ≥

Not under ≤

No less than ≤

maximum ≥

Greater than or equal to ≥

Less than or equal to ≤

Does not exceed ≥

At most ≥

At least ≤

Minimum ≤

Answer:

The answer is colors, genre of music, favorite pet

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

26 is what I'm guessing

Answer:

171

Step-by-step explanation:

If five test scores have a mean of 90, then the total 5x90=450.  We already have the middle score (91) and the two top scores (94 and 94).  So the equation is 450-91-94-94=171

I attached a picture to this

Answer:

Slope: 1.5

Step-by-step explanation:

We first have to find what y is equal to. That means we take 3x - 5 and divide it by 2. We get 1.5x - 2.5. Since the lines are parallel and they have the same slope and different y - intercepts, we know that the slope will be equal.

Answer:

m = 3/2

Step-by-step explanation:

2y = 3x - 5

First find the slope of this line

Divide by 2

2y/2 = 3x/2 - 5/2

y = 3/2 x - 5/2

This is in slope intercept form  y= mx+b where m is the slope and b is the y intercept

The slope is 3/2

Parallel lines have the same slope

m = 3/2

Answer:

x+y=6000

Step-by-step explanation:

0.025x-,0.015y=110

Answer:

x+y=6000

0.025x-,0.015y=110

Step-by-step explanation:

May I please get Brainliest to rank up? Thank you and have an amazing day :D

Answer:

40

Step-by-step explanation:

if you add all the numbers up it becomes 96 and 96 goes Into. 480 5 times so you multiply 5 times the number of giant swallow tails

Answer:

If they are proportional we can expect 40

lol iready

Answer:

The Y-intercept changes .

Step-by-step explanation:

Answer:

The y-intercept changes

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a guessing game. You assume how much there is, and then you check. I was led to the conclusion that there are 9 large frames and 18 small frames.

Answer:

She bought 9 large frames

Step-by-step explanation:

Create a system of two equations and two unknowns (the number of small frames that we call S, and the number of large frames that we call L).

The two equations become:

(a)    L + S = 27    (since she bought 27 frames total)

(b)   10 L + 5 S = 180

Now, let's solve for S in the first equation:  S = 27 - L

ad use it to replace for S in equation (b):

10 L + 5 (27 - L) = 180

10 L  - 5 L + 135 = 180

5 L = 180 - 135

5 L = 45

L = 9

Therefore she bought 9 large frames