At this point I’m just gonna post all the questions so stay online. y’all are so smart. 2 more to go! Xoxo <3

Answer:

[tex]\displaystyle y=\frac{3}{5}x-1[/tex]

Step-by-step explanation:

The Equation of a Line

The equation of the line in slope-intercept form is:

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

Where m is the slope and b the y-intercept.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

We are given the points (5,2) and (0,-1), thus:

[tex]\displaystyle y-2=\frac{-1-2}{0-5}(x-5)[/tex]

Operating:

[tex]\displaystyle y-2=\frac{-3}{-5}(x-5)[/tex]

[tex]\displaystyle y-2=\frac{3}{5}(x-5)[/tex]

To find the slope-intercept form, we continue to simplify the expression:

Removing the parentheses:

[tex]\displaystyle y-2=\frac{3}{5}x-\frac{3}{5}\cdot 5[/tex]

[tex]\displaystyle y-2=\frac{3}{5}x-3[/tex]

Adding 2:

[tex]\displaystyle y=\frac{3}{5}x-3+2[/tex]

[tex]\mathbf{\displaystyle y=\frac{3}{5}x-1}[/tex]

Answer:

teenagers who watch TV =2

teenagers wearing glasses =5

hence probability =2/5=0.4

now you prove how ur answer is 0.5

Answer:

35

Step-by-step explanation:

You take 3 times 7 and that's 21. Then 2 times 7 and that's 14. So, 21+14=35

Answer:

72.13

Step-by-step explanation:

72.13

4|288.52

28

08

8

Answer:

Reflection. Hope this helps you :)

Answer:

B because I elmenite the ansgdkebs smbsjmsvsjsosvejajscr

Answer:

3.90625 quarts per minute.

Step-by-step explanation:

we want to convert from ounces to quarts

and also from seconds to minutes

1 ounces is equal to 0.03125qtz

2 ounces will be x

cross multiply

x=0.0625 quarts

i minutes is equal to 60 sec

x minute is equal to 1 sec

cross multiply

x= 1/60

x=0.016 minute

rate of flow in quarts per minute.

=0.0625/0.016

=3.90625 quarts per minute.

Step-by-step explanation:

it will take them 104 hours.

Answer:

76.64 hope this helps!

Do the following rewrites:

sin(x) = sin(4x - 3x) = sin(4x) cos(3x) - cos(4x) sin(3x)

sin(7x) = sin(4x + 3x) = sin(4x) cos(3x) + cos(4x) sin(3x)

sin(3x) = sin(4x - x) = sin(4x) cos(x) - cos(4x) sin(x)

sin(5x) = sin(4x + x) = sin(4x) cos(x) + cos(4x) sin(x)

cos(x) = cos(4x - 3x) = cos(4x) cos(3x) + sin(4x) sin(3x)

cos(7x) = cos(4x + 3x) = cos(4x) cos(3x) - sin(4x) sin(3x)

cos(3x) = cos(4x - x) = cos(4x) cos(x) + sin(4x) sin(x)

cos(5x) = cos(4x + x) = cos(4x) cos(x) - sin(4x) sin(x)

So in the numerator, we have

sin(x) + sin(3x) + sin(5x) + sin(7x)

= 2 sin(4x) cos(3x) + 2 sin(4x) cos(x)

= 2 sin(4x) (cos(3x) + cos(x))

In the denominator,

cos(x) + cos(3x) + cos(5x) + cos(7x)

= 2 cos(4x) cos(3x) + 2 cos(4x) cos(x)

= 2 cos(4x) (cos(3x) + cos(x))

So we have

(sin(x) + sin(3x) + sin(5x) + sin(7x)) / (cos(x) + cos(3x) + cos(5x) + cos(7x))

= (2 sin(4x) (cos(3x) + cos(x))) / (2 cos(4x) (cos(3x) + cos(x)))

= sin(4x) / cos(4x)

= tan(4x)

QED

Answer:

Step-by-step explanation:

Side of the smaller figure:

Answer:

I'm guessing

Step-by-step explanation:

My calculations assume at least 456

Answer:

Thus, the eleventh term is -25.

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the sequence:

5,2,-1,-4,...

We can directly find the common difference by subtracting two successive terms:

r = 2 - 5 = -3

The same result is obtained by subtracting any pair of successive terms.

The first term is a1 = 5. The general equation is:

[tex]a_n=5-3(n-1)[/tex]

[tex]a_n=5-3n+3[/tex]

[tex]a_n=-3n+8[/tex]

We need to find which term is -25, thus:

-3n + 8 = -25

Subtracting 8:

-3n = -25 - 8 = -33

Dividing by -3:

n = -33 / (-3)

n = 11

Thus, the eleventh term is -25.

Answer:

(x-y)(x+y+z)

Step-by-step explanation:

[tex]x^{2} +xz-y^{2} -yz\\x^{2} -y^{2} +z(x-y)\\(x+y)(x-y)+z(x-y)\\(x-y)(x+y+z)\\[/tex]

Answer:

(x - y)(x + y + z)

Step-by-step explanation:

Given

x(x + z) - y(y + z) ← distribute both parenthesis

= x² + xz - y² - yz ← rearrange

= x² - y² + xz - yz ← x² - y² can be factored as a difference of squares

= (x - y)(x + y) + z(x - y) ← factor out (x - y) from each term

=(x - y)(x + y + z)

Answer:

h = A/b

Step-by-step explanation:

A = bh      Divide b from both sides of the equation

A/b = bh/b     On the right side, the b in the numberator and denominator cancel out.

h = A/b

Answer:

0.8 minutes

Step-by-step explanation:

Answer:

Andre would take approximately 1.25 minutes

Answer:

Two interpretations:

1. Ticket price for each student

2. Number of students

Quotient = 12

Step-by-step explanation:

Given that:

Total money to be paid for the tickets to the science museum = $180

To find:

Two interpretations, what does the expression [tex]\large 180\div15[/tex] represent ?

Solution:

The expression [tex]\large 180\div15[/tex] has two terms:

1st is 180, which is the amount of money to be paid for the tickets to the science museum.

As price of all the tickets is same, 15 might be one of the two things:

1. Total Number of candidates:

If 15 is the total number of candidates, then the expression [tex]\large 180\div15[/tex] represents the price of each ticket.

2. Price of each ticket:

If 15 is the price of each ticket, then the expression [tex]\large 180\div15[/tex] represents the Total number of candidates.

Now, let us find the quotient:

[tex]\large 180\div15=\bold{12}[/tex]

Answer:

Quad 1

Step-by-step explanation:

AXYZ is in the 2nd quad bc of the rotation, then goes back to 1st quad bc of reflection (y axis). After this, the translation doesn't affect the movement of quadrants.  A""X""Y""Z"' lands in quadrant 1.

Answer:

1st quadrant

Step-by-step explanation:

1. Rotated 90° counterclockwise from the 1st quadrant, moves object to the second quadrant.

2. Reflection across y-axis, moves object back to the 1st quadrant.

3. Translation to the right is moving to the right inside the 1st quadrant.

Answer: the answer is NO

Step-by-step explanation:

Khan academy

Answer:

39 pounds is needed

Step-by-step explanation:

Given

Lawn Dimension: 78' by 93'

4 pounds fertilizer for 750ft² area

Required

Determine the amount needed for the given dimension

First, we need to calculate the area of the lawn

[tex]Area = 78' * 93'[/tex]

' means feet

So:

[tex]Area = 78ft * 93ft[/tex]

[tex]Area = 7254 ft^2[/tex]

Let the amount of fertilizer need be x

So, we have:

4 pounds = 750ft²

and

x = 7254ft²

Cross Multiply:

[tex]x * 750 = 4 * 7254[/tex]

[tex]x * 750 = 29016[/tex]

Solve for x

[tex]x = 29016/750[/tex]

[tex]x = 38.688[/tex]

[tex]x = 39[/tex] (approximated)

Answer:

The answer is A

Step-by-step explanation:

The answer is A because if you flip it over the y-axis it will be on the same line as before.

Hope this helps!!

Answer:

The answer is C

Step-by-step explanation:

Answer:

4/95

Step-by-step explanation:

convert -4.75 into the fraction 19/4 and  -0.2 into -2/10 then multiply across and simplify

Answer:

118*360=42480..........

Answer:

(-4,0)(4,-4)

slope(m) = (-4 - 0) / (4 - (-4) = -4/(4 + 4) = -4/8 = -1/2. A parallel line will have the same slope.

y = mx + b

slope(m) = -1/2

(2,3)...x = 2 and y = 3

now we sub and find b, the y int

3 = -1/2(2) + b

3 = -1 + b

3 + 1 = b

4 = b

y = -1/2x + 4

1/2x + y = 4....multiply by 2

x + 2y = 8 <== ur parallel line

Answer:

D: 2x + y = 8

Step-by-step explanation:

on edge2021! hope this helps!!~ （=´∇｀=）

Answer:

-4/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-3-5/8-2

-8/6

-4/3

Best of Luck!

Answer:

-4/3

Step-by-step explanation:

You can use rise/run. The rise (y values) goes from 5 to -3. You subtract 8 for this. The run (x values) goes from 2 to 8. You add 6 for this. the proportion is -8/6, which can be simplified to -4/3.

Therefore, the slope is -4/3!

Hope I helped!!!!!!

Answer:  (- 2h + 1) + 2(3h - 4) = 4h -7

Step-by-step explanation:

First, remove unnecessary parentheses

- 2h + 1 + 2(3h - 4)

then distribute 2 through the parentheses

- 2h + 1 + 2(3h - 4) = -2h + 1 + 6h -8

Combine like terms

-2h + 1 + 6h -8 = 4h + 1 - 8

1-8= 7

So the answer is

4h - 7