Find the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6).

Question 11 options:

a)

y = 13x − 2

b)

y = 3x – 6


c)

y = 13x + 2

d)

y = –3x + 6

Answer:

$9,000.00 is her original investment worth in 10 yrs.

5000 x 1.08 ^10 = 10794.6249864

Then subtract -500000 = 5794.62498636

Step-by-step explanation:

Why, because the first year is proved 5000 x 0.08 = 400

= 400 year 1 but cna keep only if stays in investment for 10 years

400 x 10 = 4000 interest on investment

5000+ 4000 = $9,000.00 SI

+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62

The conversion factor used to convert inches to yards is: 36 inches in 1 yard.

Answer:

1. 324

2. 610

3. 72

4. 97

5. 20

6. 28

7. 195

Answer:

[tex]f(x) = x + 3[/tex]

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where [tex](x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)[/tex]

So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{0 - (-2)}{-3 - (-5)}[/tex]

[tex]m = \frac{0 + 2}{-3 + 5}[/tex]

[tex]m = \frac{2}{2}[/tex]

[tex]m = 1[/tex]

The equation of the line can then be calculated using any of the given points;

Using

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-5,-2)\ and\ m =1[/tex]

We have

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

[tex]1 = \frac{y+2}{x+5}[/tex]

Multiply both sides by x + 5

[tex](x+5)*1 = \frac{y+2}{x+5} * (x+5)[/tex]

[tex]x + 5 = y + 2[/tex]

Subtract 2 from both sides

[tex]x + 5 - 2 = y + 2 - 2[/tex]

[tex]x + 3 = y[/tex]

[tex]y = x + 3[/tex]

Replace y with f(x)

[tex]f(x) = x + 3[/tex]

Hence, from the list of given options; Option B is correct

Answer: B. f(x) = x + 3

Step-by-step explanation:

Answer:

By asking a larger quantity of people.

Changing the time/date of when she went and asked the questions

Answer:

by asking more people because then she can get a more diverse answer

Step-by-step explanation:

Answer: they are both halves and represent the fraction 1/2. They different because there represented by lines and boxes.

Step-by-step explanation:

Answer: 4.97 ft

Step-by-step explanation:

h = V / pi r^2

h = 250 / 3.14 x 4^2

Answer:

-85n - 7  = -92

Step-by-step explanation:

Answer:

The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

Step-by-step explanation:

Gift-Wrapping Fundraiser

Plain Gifts Wrapped    Decorative Gifts Wrapped   Total Raised in dollars

10                                  9                                             47

25                                 12                                            86

16                                  12                                            68

Let's define:

x: $ charged per gift for Plain Gifts Wrapped

y:  $ charged per gift for Decorative Gifts Wrapped  

From 2nd 3rd row:

25x + 12y = 86

16x + 12y = 68

Subtracting them:

25x + 12y - (16x + 12y) = 86 - 68

9x =  18

x = 18/9 = 2

Replacing x = 2 into the first equation:

25(2) + 12y = 86

12y = 86 - 50

12y = 36

y = 36/12 = 3

Answer:

The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

Step-by-step explanation:

B on edg

Answer:

257.8°

Step-by-step explanation:

rad × 180/π =  °

4.5*180=810

810/π=257.8

Answer:

8.75° south of west

26.3 mph

Step-by-step explanation:

Let's say that east is +x and north is +y.

The sailor's horizontal velocity is -26 mph.  The vertical velocity is -4 mph.  So the velocity vector is in the 3rd quadrant.  The direction is:

θ = tan⁻¹(-4 / -26)

θ = 188.75°, or 8.75° south of west.

The magnitude of the speed is:

v = √((-4)² + (-26)²)

v = 26.3 mph

Answer:

Step-by-step explanation:

2.25t + 5 = 13.5t + 14

5 = 13.5t + 14 - 2.25t

5 = 11.25t +14

2.25t + 5 = 13.5t + 14

2.25t + 5 -13.5t= 14

-11.25t +5 =14

2x + 6 = 3x -8

2x+6-3x=8

-x+6 =8

2x + 6 = 3x -8

6 =3x-8-2x

6= x-8

Feel free to ask for more if needed or if you did not understand something.

Answer:

2l + 2w is the formula for perimeter. l = 2w + 6 can be written as "the length is 6 feet more than two times its width."

The answer is B.

Answer:

B

Step-by-step explanation:

Answer:

6 sqrt(5) - 4 sqrt(15)

Step-by-step explanation:

sqrt(5) ( ( 6 - 4 sqrt(3))

Distribute

6 * sqrt(5) - 4 * sqrt(5) sqrt(3)

We know sqrt(a) sqrt(b) = sqrt(ab)

6 sqrt(5) - 4 sqrt(15)

Answer:

[tex]6\sqrt{5}-4\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\sqrt{5} (6-4\sqrt{3} )[/tex]

[tex]\sqrt{5}\times \:6-\sqrt{5}\times \:4\sqrt{3}[/tex]

[tex]6\sqrt{5}-4\sqrt{5} \times \sqrt{3}[/tex]

[tex]6\sqrt{5}-4\sqrt{5 \times 3}[/tex]

[tex]6\sqrt{5}-4\sqrt{15}[/tex]

Answer:

This expression contains a one root  (x= -10) of multiplicity 9

Step-by-step explanation:

Notice that this polynomial is given in factor form, since it is equivalent to 9 products of the same factor (x+10):

[tex](x+10)^9=(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)[/tex]

Therefore, there is a single root x = -10, since when x=-10 each of these binomial factors result in a zero.

In mathematical terms, such type of root is said to have multiplicity. And in this case, the multiplicity is "9" (the number of equal binomial factors of the polynomial form).

Answer:

9

Step-by-step explanation:

(x+10)^9 is the 9-degree polynomial so it has 9 roots

if it is equal to zero then it has 9 equal roots of x= -10

Answer:

B) Rotation

Step-by-step explanation:

The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.

Answer:

Rotation

Step-by-step explanation:

Answer: 40

Align in this pattern:

Bigger box : 24 : 15 : 10

smaller box: 6 : 3 : 5

counts: 4: 5 : 2

( multiply 4*5*2 = 40)

The triangle with side lengths of 6 m, 8 m, and 9 m is possible to construct.

What is the condition to construct a triangle with given dimensions?

In a triangle, the sum of the two smaller sides must be greater than the larger side of the triangle. If this condition satisfies, then the triangle could be possible to construct.

Given,

1. A triangle with side lengths of 6 m, 8 m, and 9 m. Here, (6 + 8) > 9. Therefore, the triangle is possible to construct.

2. A triangle with side lengths of 4 m, 5 m, and 12 m. Here, (4 + 5) < 12. Therefore, the triangle is not possible to construct.

3. A triangle with side lengths of 2 m, 5 m, and 8 m. Here, (2 + 5) < 8. Therefore, the triangle is not possible to construct.

4. A triangle with side lengths of 4 m, 7 m, and 13 m. Here, (4 + 7) < 13. Therefore, the triangle is not possible to construct.

Learn more about the condition to construct a triangle here: https://brainly.com/question/1299079

#Tag #SpJ2

Answer:

it would be 10 1/2

Step-by-step explanation:

The ten is already a whole number so it would be itself. .5 is in the tenths place so it would be put over ten (5/10). Simplify 5/10 to 1/2 because 5 is half of 10

Answer:

its 10 1/2

Step-by-step explanation:

Answer:

[tex]r = 4[/tex]

Step-by-step explanation:

Given: Direct Variation

(0,0) ,(3,12),(9,36)​

Required

Constant of Variation

Provided that the given data is a direct variation, the constant variation is represented by r.

r is calculated as thus;

[tex]y = rx[/tex]

Divide both sides by x

[tex]r = \frac{y}{x}[/tex]

Point (0,0) is the center of origin and cannot be used

When x = 3, y = 12

and

[tex]r = \frac{12}{3}[/tex]

[tex]r = 4[/tex]

When x = 3, y = 12

and

[tex]r = \frac{36}{9}[/tex]

[tex]r = 4[/tex]

Notice that the value of r remain constant in both cases; Hence, the constant of variation is; [tex]r = 4[/tex]

Answer:

Convert from radians to degrees using the ratio  180/π.   answer is 130°

Step-by-step explanation:

The right answer is 280

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

84 is 30% of 280

Step-by-step explanation:

Write and solve this equation:  84 = 0.30n, where n is the unknown number.

Then n = 84 / 0.30 = 280

84 is 30% of 280

Answer: B

Step-by-step explanation: A function is a relation in which each input value is paired to exactly one output value.

Technically, if you had the same input value twice and the same output value corresponded to each of those, it would still be a function because you are just repeating what you have twice.

However, most teachers want to think of it as each input value must have exactly one corresponding value to be a function.

Answer:

B. If none of the input values are repeated, the relation is a function.

Step-by-step explanation:

Just took test on edge 2020

Answer:

A = 51 degrees

Step-by-step explanation:

We can use the law of sines

sin A          sin 95

------------ = -----------

7                   9

Using cross products

9 sin A = 7 sin 95

Divide each side by 9

sin A = 7/9 sin 95

Take the inverse of each side

sin ^-1 sin A = sin ^-1 ( 7/9 sin 95)

A = 50.78854367

To the nearest degree

A = 51 degrees

Answer:

a. the number of people at Friday's, Saturday's, and Sunday's performances combined.

Step-by-step explanation:

The reason this information is needed to solve this problem is because we are looking to find the number of people who attended Saturday's performance. Without any information on Saturday's performance, there is no way to solve the problem. We are given the number of people on Friday and Sunday's performance, but are not given a total amount of people on all performances.

Answer:

A) The number of people at Friday's, Saturday's, and Sunday's performances combined.

Step-by-step explanation:

We are looking for the amount of people who attended Saturday's performance, but only one of the answers contains anything about Saturday, which is A. All the information in the other 3 choices we already know, because we know the amount of people at both Friday and Saturday's performance, so we can do some simple math to figure it out.

Answer:

15:2; there are 2 counselors to every 15 campers

Step-by-step explanation:

Answer:

2a + 3c = 29

Step-by-step explanation:

2a + 3c =

= 2×4 + 3×7

= 8 + 21

= 29

Answer:

2

Step-by-step explanation:

1,3,4 are arithmetic sequences

2 is a geometric sequence

Answer:

number 2

Step-by-step explanation:

i think this right.. its just because 45 doesnt come after 15 when counting by 5's.. 20 does :) hope this helps

Answer: The answer is B: (0,-3)

Step-by-step explanation: The y intercept is the value of y when x is equal to 0, so just set x=0 and find y!

y = 0-3

y=-3

( i hope this helped <3 )