The graph represents a function related to a train's movement over time.
12
11
10
9
8
6
5
4
2
0 1 2 3 4
7 8 9 10 11 12
Time
Which function could this graph represent?
A.
the speed of a train as it decreases its rate of acceleration
B.
the speed of a train as it slows down when approaching a station
C.
the distance of a train from a station it has departed as it accelerates
D.
the distance of a train from a station it approaches at a constant speed

Answer:

A.) $0.89

Step-by-step explanation:

2(4x+3y=7.43)

-3(5x+2y=7.03)

8x+6y=14.86

-15x-6y=-21.09

add the two equations

-7x=-6.23

divide by -7

x=.89

Answer:$0.89

Step-by-step explanation:

Solution by substitution method

4n+3p=7.43

5n+2p=7.03

Suppose,

4n+3p=7.43→(1)

5n+2p=7.03→(2)

Taking equation (1), we have

4n+3p=7.43

⇒4n= -3p+7.43

⇒n = -3p+7.43/4

→(3)Putting n= -3p+7.43/4 in equation (2), we get

= 5n+2p=7.03

= 5(-3p+7.43/4)+2p=7.03

⇒-15p+37.15+8p=28.12

⇒-7p + 37.15=28.12

⇒-7p=28.12 - 37.15

⇒-7p=-9.03

⇒p=9.03/7

⇒p= 1.29→(4)

Now, Putting p=1.29 in equation (3), we get

n=-3p+7.43

n= -3(1.29)+7.43 / 4

⇒n= -3.87+7.43 / 4

⇒n= 3.56 / 4

⇒n=0.89

∴n= $0.89 and p=1.29

Answer: 30

Step-by-step explanation:

From the question, we are informed that Tina has 10 packages of yarn to knit a scarf and that he uses ⅓ package of yarn for each inch of length she adds to the scarf.

Since she used all the yarn, the length of the cloth would be:

= 10 ÷ 1/3

= 10 × 3

= 30 inch

Answer:

Step-by-step explanation:

4/3(6y+21)-17=43

move all terms to the left:

4/3(6y+21)-17-(43)=0

Domain of the equation: 3(6y+21)!=0

y∈R

We add all the numbers together, and all the variables

4/3(6y+21)-60=0

You multiply all the terms by the denominator

-60*3(6y+21)+4=0

multiply elements

Answer:

Use the formula ( b 2 ) 2 in order to create a new term.

Solve for x by using this term to complete the square.

Exact Form: x = ± √ 65 4 + 3 4

Decimal Form: x = 2.76556443 … , − 1.26556443 …

Answer:

1/3, -2 and -1/2

Step-by-step explanation:

Given the polynomial function y = (3x − 1)(x + 2)(2x + 1)

The zeros of the function occurs at when y = 0

The expression becomes;

(3x − 1)(x + 2)(2x + 1) = 0

3x - 1 = 0

3x  = 1

x  = 1/3

Also

x = x+2

x = 0-2

x = -2

2x+ 1 = 0

2x = 0-1

2x = -1

x = -1/2

Hence the zeros of the polynomial are 1/3, -2 and -1/2

Step-by-step explanation:

Step-by-step explanation:

1.Right

2.Left

3.Bottom Middle

Your answer should be -18?

The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

For finding m∠1,

Here m∠2 = 90° as per the figure it is the right angle.

m∠1 + 40° +  m∠2 = 180°

m∠1 + 40° +  90° = 180°

m∠1 = 50°

For finding m∠3,

m∠2 + m∠3 +  30° = 180°

90° +  m∠3 +  30° = 180°

m∠3 = 60°

For finding m∠4 and m∠5

We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°

For finding m∠6 and m∠7

m∠6 + m∠7 +  20° = 180°

60° + m∠7 +  20° = 180°

m∠7 = 100°

Thus, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ2

The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

For finding m∠1,

Here m∠2 = 90° as per the figure it is the right angle.

m∠1 + 40° +  m∠2 = 180°

m∠1 + 40° +  90° = 180°

m∠1 = 50°

For finding m∠3,

m∠2 + m∠3 +  30° = 180°

90° +  m∠3 +  30° = 180°

m∠3 = 60°

For finding m∠4 and m∠5

We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°

For finding m∠6 and m∠7

m∠6 + m∠7 +  20° = 180°

60° + m∠7 +  20° = 180°

m∠7 = 100°

Hence, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ2

Answer:

width = 26 ft

length = 54 ft

Step-by-step explanation:

perimeter = 160 ft

width = x

length = x + 28

Perimeter = 2(width) + 2(length)

[tex]2x + 2(x + 28) = 160 \\ 2x + 2x + 56 = 16 0\\ 4x = 160 - 56 \\ x = \frac{104}{4} \\ x = 26[/tex]

width = x = 26

length = x + 28 = 26 + 28 = 54

Answer:

c

Step-by-step explanation:

Answer:

Yoyo and yoyo

Step-by-step explanation:

Answer:

discrete

explanation:

Continuous keeps going but for blood pressure it has to stay in a certain zone.

Answer:

False

Step-by-step explanation:

2x+7=30

2x=23

X= 23/2 or 11.5

X does not equal 3, therefore the statement is false

Answer:

The two expressions A and B are equivalent because the value of both expressions is same.

Step-by-step explanation:

Given: Expression A is 5(4+9) and expression B is 29+36.

To find: The reason why expressions A and B are equivalent.

First we solve expression A.

[tex]5(4+9)=5*4+5*9[/tex]          (using [tex]a(b+c)=a*b+a*c[/tex])

⇒[tex]5(4+9)=20+45[/tex]

⇒[tex]5(4+9)=65[/tex]

Now we solve expression B.

[tex]29+36=45[/tex]

Clearly, the value of both the expressions is same.

Hence, the expression A is equivalent to expression B.

Answer:

B

Step-by-step explanation:

Answer:

4.) 8%

5.)56%

6.)90%

10.)107%

11.)275%

12.)0.75%

13.)33/400

14.)30.5/100

15.)200/3

16.)62.5

17.)75%

9514 1404 393

Answer:

  not similar

Step-by-step explanation:

"Triangle" DPS cannot exist. Sides DP and DS are not long enough.

__

Side ratios are not the same. In the top triangle, the length ratios are ...

  14 : 16 : 19

In the bottom triangle, the length ratios are ...

  7 : 8 : 19   (such a triangle cannot exist)

Since the ratios are not the same, the triangles are not similar.

Answer:

-1

Step-by-step explanation:

Okay, i might be wrong..? I tried and this is what I got.

Answer: 4(3y−1)

Step-by-step explanation:

Answer:

4(3y - 1)

Step-by-step explanation:

To factor this find the greatest common factor of 12y and -4, which would just be 4.

Then, you have 4(3y - 1)

Answer: distance from 15.3 to zero on a number line

Step-by-step explanation:

Answer:

64 sq in

Step-by-step explanation:

set up a proportion:

12 = 6

16      x

cross-multiply:

12x = 96

x = 8

A = b·h/2

A = 16 x 4

A = 64

Answer:

$7.22 per foot squared

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

We need the unit rate here. The best way to do this is to write a proportion.

Let x = the $ for 1 ft.

130/18 = x/1

130 = 18x

Divide by 18

x = $7.22

Now, we check to make sure we are correct.

130/18 = 7.22/1

130 = 130 ✅

Answer:

3

Step-by-step explanation:

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