Which statements are true? Select all that apply.

Answer:

[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

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

In which m is the slope and c is the y-intercept(value of y when x = 0).

A(2;2) and B(-3;4)

When we have two points, the slope is the change in y divided by the change in x. So

Change in y: 4 - 2 = 2

Change in x: -3 - 2 = -5

Slope: [tex]m = \frac{2}{-5} = -\frac{2}{5}[/tex]

So

[tex]y = -\frac{2}{5}x + c[/tex]

A(2;2)

When [tex]x = 2, y = 2[/tex]. We use this to find c.

[tex]y = -\frac{2}{5}x + c[/tex]

[tex]2 = -\frac{2}{5}(2) + c[/tex]

[tex]c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}[/tex]

So

[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]

Answer:

no

Step-by-step explanation:

Two rectangles having the same area do not need to have the same length and width. The length and width of the rectangle are just factor pairs of the number that is the area. For example, if the area was 12, the side lengths would be 1 and 12, 2 and 6, or 3 and 4. As you can see, those aren't the same lengths and widths. A rectangle may be 1x12 and another may be 3x4, but they have the same area.

Answer:im so sorry i dont know this one

Step-by-step explanation:but i would try adding subtracting or divison

Answer:

21

Step-by-step explanation:

We can use a proportion to solve this problem

8 : 33.6 = 5 : OP

OP = (33.6 x 5)/8 = 21

Answer: 7x  let me know if you need an explantion.

Answer:

it's

-21

or 12

which one you mean

Answer:

Step-by-step explanation:

ax² + 7x + b

Substituting 2/3 in equation

4a/9 + 14/3 +b = 0

4a/3 + 14 + 3b = 0

4a + 42 + 9b = 0 ------> (i)

Substituting -3 in equation

9a - 21 + b = 0

81a - 189 + 9b = 0 ------> (ii)

Elimination method

a = 3

substituting in any equation

b = -6

Answer: 56

394 goes into 22064 56 times.

Answer:

0.056

The Answer is 56!!!!

Step-by-step explanation:

Answer:

A]  37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12

Step-by-step explanation:

Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.

Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.  

So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) =        [ 10 p / 3 ] +  [ (9 x 4) p / 4 ] = 10p / 3 + 9p  = (10p + 27p) / 3 = 37p / 3

A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn  = ( 37p / 3 ) / (p)  = 37 / 3 = 12 1/3

B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn   =  ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12  

Answer:

A

Step-by-step explanation:

because it passes the vertical line test and also for every x, there is only one y

Answer:

-7

Step-by-step explanation:

2(x+4)-3(x+4)-3=0

2x+8-3x-12-3=0

-x+8-15=0

-x-7=0

 +7  +7

-x=7

/-1  /-1

x=-7

--

hope it helps

Answer:

B and D buster

Step-by-step explanation:

Answer:

-1 1/2, -1, 0, 1/2, 1

Step-by-step explanation:

Answer:

∠2 = 41°

Step-by-step explanation:

∠2 + 49° + 90° = 180°

∠2 + 139° = 180°

∠2 = 180° - 139°

∠2 = 41°

Answer:

[tex] \displaystyle \angle2 = \bigg[{41}^{ \circ} \bigg][/tex]

Step-by-step explanation:

we are given a right angle triangle

we want to figure out the missing interior angle

recall that,

thus our equation is

[tex] \displaystyle {49}^{ \circ} + \angle2 + {90}^{ \circ} = {180}^{ \circ} [/tex]

simplify addition:

[tex] \displaystyle \angle2 + {139}^{ \circ} = {180}^{ \circ} [/tex]

cancel 139° from both sides:

[tex] \displaystyle \angle2 = {41}^{ \circ} [/tex]

hence,

the measure of the missing angle is 41°

Answer:

7

Step-by-step explanation:

13 - [(3² x 4) - 30]

13 - [(9 x 4) - 30]

13 - (36 - 30)

13-6

7

Answer:

7

Step-by-step explanation:

I think the answer you're looking for is 7

Answer:

Step-by-step explanation:

Y= 320(1.5)^x-1

In this exercise we have to use the data informed in the text and perform the assembly of an equation in this way we find that:

[tex]Y=320(0.5)^X-1[/tex]

Some data were informed in the text for this equation to be written, so:

Now writing the equation representing the given information is:

[tex]Y=320(0.5)^X-1[/tex]

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9514 1404 393

Answer:

  (d)  all real numbers greater than or equal to -1

Step-by-step explanation:

The y-value of the vertex at (3, -1) is the minimum of the function. All y-values equal to or greater than -1 are in the range of the function.

  y ≥ -1

Answer:

the daimeter of the heart of the heart of the heart

Answer:

5

[tex] 5 \times 100 = 500[/tex]

Answer:

(x-4)^2 / 16 + (y+2)^2 / 7 = 1 or 7x^2-56x+16y^2+64y+64=0

Step-by-step explanation:

Either one should be right I think. Hope this helps.

Answer:

There’s two options for each. Look below.

Step-by-step explanation:

Savings: there is no risk of losing any money put into this account

              interest income is the only way to earn money in this type

‘investment: this account may generate income from a variety of sourses.

                  If no deposits or withdrawals are made, money held in this acct..

Answer: its 23 meters

Step-by-step explanation:

The volume of a sphere with a diameter of 6.2 in is 39.72π

The volume of a sphere is defined as the total amount of capacity applied in a sphere that can be calculated using the volume formula for the sphere which is V = (4/3)πr3.

The radius of the sphere is;

[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{6.2}{2}\\\\Radius=3.1[/tex]

The volume of the sphere is;

[tex]\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume =\dfrac{4}{3}\pi (3.1)^3\\\\Volume = 39.72\pi[/tex]

Hence, the volume of a sphere with a diameter of 6.2 in is 39.72π.

Learn more about sphere here;

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Answer:

Speed = distance / time

Time = distance/ Speed

Distance = Speed x time

We have 12 pens in total

P(first three pens are blue with replacement) = 3/12 * 3/12 * 3/12 =

(1/4) * (1/4) * (1/4) =

1/ 64

The required probability  that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.

Given that,
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total number of sample = 12
Favorable outcome = 3
Required probability  that the first three students all randomly select a pen with blue ink = 3 / 12 × 3 / 12 × 3 / 12
                             = 1 / 64

Thus, the required probability  that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.

Learn more about probability here:

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Answer:

0 = 0 = 0 = 0 = 0 < 1/

2

< 7/

8

< 7/

2

< 49/

8

< 12 < 271/

2

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1/

2

is less than 7/

8

is less than 7/

2

is less than 49/

8

is less than 12 is less than 271/

2

0/

8

= 0/

8

= 0/

8

= 0/

8

= 0/

8

< 4/

8

< 7/

8

< 28/

8

< 49/

8

< 96/

8

< 1084/

8

Step-by-step explanation:

Answer:

B. -1/5

Step-by-step explanation:

To find the slope we place (0-1) over (4- (-1))

9514 1404 393

Answer:

Step-by-step explanation:

The sum of top and bottom bases is twice the midsegment.

  (c² +6) +(c² +2) = 2(4c)

  2c² -8c +8 = 0 . . . . . . . . . subtract 8c

  2(c -2)² = 0 . . . . . . . . factor

  c = 2 . . . . . . the value that makes the binomial be zero

The value of c is 2; the segment lengths (top-down) are 10, 8, 6.

Answer:

[tex]9x^{2} -34[/tex]

Step-by-step explanation:

Use the given functions to set up and simplify [tex]2F(1)-3G.3.[/tex]

The point in the middle between 3G and 3 is a multiplication sign btw

Answer:

100,000,000/10^8

Step-by-step explanation:

10^3 = 1000

10^3 = 1000

10^2 = 100

Therefore,

= (1000) x (1000) x (100)

= (100,000) x (100)

= 100,000,000

or

= 10^8

Answer:

1 solution (2, 0 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

2x + y = 4 → (2)

Subtract (1) from (2) term by term to eliminate y

2x - x + y - y = 4 - 2 , that is

x + 0 = 2

x = 2

Substitute x = 2 into either of the 2 equations and evaluate for y

Substituting into (1)

2 + y = 2 ( subtract 2 from both sides )

y = 0

one solution is (2, 0 )