Does the following relationship represent a function?
A. Yes
B. No

y = -2x - 4

--> Swap sides so that all variable terms are on the left hand side

-2x - 4 = y

--> Add 4 to both sides

-2x = y + 4

--> Divide both sides by -2

-2x/-2 = y+4/-2

--> Dividing by -2 undoes the multiplication by -2.

x = y+4/-2

--> Divide y+4 by -2

x = -y /2 -2

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

y = 1/4x + 5

--> Swap sides so that all variable terms are on the left hand side.

1/4x + 5 = y

--> Subtract 5 from both sides.

1/4x = y - 5

--> Multiply both sides by 4.

1/4x 1/4 = y - 5/ 1/4

--> Dividing by 1/4 undoes the multiplication by 1/4.

x = y - 5/ 1/4

--> Divide y - 5 by 1/4 by multiplying y - 5 by the reciprocal of 1/4.

x = 4y - 20

Hope this helps you!

Answer:

1/4.

Step-by-step explanation:

There are 12 possible outcomes.

There are are 3 outcomes represented by 4B.

So required probability = 3/12 = 1/4.

Answer:

Step-by-step explanation:

The smallest angle in the quadrilateral with a ratio of 7:4:5:2 is 40 degrees.

To find the smallest angle in the quadrilateral, we need to determine the ratio of the angles and find the corresponding value for the smallest angle.

Given the ratio of the angles as 7:4:5:2, we can assume that the smallest angle corresponds to the ratio of 2.

To calculate the smallest angle, we can consider the sum of the ratio values as a whole, which is 7 + 4 + 5 + 2 = 18.

Now, we can find the value of the smallest angle:

Smallest angle = (2/18) * 360 degrees

             = (1/9) * 360 degrees

             = 40 degrees.

Therefore, the smallest angle in the quadrilateral is 40 degrees.

To know more about quadrilateral, refer here:

https://brainly.com/question/19816071

#SPJ2

Answer:

simultaneous linear equation

Step-by-step explanation:

you can use two methods:

substitution method

elimination method

Answer:

x-intercepts: (-6,0) and (2,0)

y-intercepts: (0,-12)

Minimum value at x = -2

Answer:

5*9= 45

Step-by-step explanation

Well using your hands you can put down your fifth finger and that will give you four fingers on the left and five on the right that then equals 45

Answer:

140922

Step-by-step explanation:

48900/34.7 = 1409.2219

1409.2219 *100 = 140922.19

rounded - 140922

Answer: a

Step-by-step explanation:

Answer:

(18-4+5)+(2/7 j-6/7 j)=

19 +(-4/7 j)=

Answer:

  17.3 m

Step-by-step explanation:

If t is the height of the tree, then the length of the shadow is ...

  shadow length = t/tan(α)

where α is the angle of elevation. The difference in shadow lengths is ...

  20 m = t/tan(30°) -t/tan(60°) = t(√3 -1/√3)

  t = (20 m)/(2/√3) = 10√3 m ≈ 17.3 m

The tree is about 17.3 meters high.

Answer:

2.25

Step-by-step explanation:

Answer:

33 miles

Step-by-step explanation:

The cyclist traveled for 3 hours ar 11 miles per house to find how many miles she traveled simply multiply the speed times the amount of time traveled 11 times 3 is 33

1 hour = 11 miles

3 hours = 11 x 3 miles

             = 33 miles.

Ans: 33 miles

I know this is already answered but I was bored lol.

Answer:

x = 11

Step-by-step explanation:

Chords equidistant from the centre , which is the case here are congruent, so

x = 11

Answer:

Step-by-step explanation:

yeah your answer was wrong so you clearly need help

8b-1=24b+4

subtract 4 from both sides

8b-5=24b

subtract 8b from both sides

-5=16b

divide by 16

b=-5/16

Answer:

b = -5/16

Step-by-step explanation:

8b - 1 = 24b + 4

8b - 24b = 4 + 1

-16b = 5

16b = -5

b = -5/16

Answer:

e)

a = 58°

alternate angles

b = a = 58°

Triangle is scalene (indicated by the 2 dashes on the triangle)

d = 180 - (58*2)

d = 64°

c = 58°

use either 180- (64+58)

which is angles in a straight line = 180 total

or

alternate angles

b = c = 58

f) x = 50°

alternate angles

y+z = 180-50

y+z = 130

we know that y = z

scalene triangle indicated by arrows (both bases are same angle)

so 130/2 = y and z

65 = y

65 = z

g) x = 55

alternate angles

on the diagram take the triangle which has x and y

you can see 95° outside the triangle, it’s on a straight line and will help us find the third angle for that triangle

180-95 = 85

180 - (85+55) = y

y = 40

z = y = 40

alternate angles

h)

180-78 = 102

beside angle a would be the angle 2a

alternate angles (look at the photo)

180 = 102 + a + 2a

180 = 3a + 102

78 = 3a

a = 26°

2a = 52

b = 26

use either alternate angles

a = b

or total angles in a triangle = 180°

102 + b + 56 = 180

b = 180-52-102

[tex]\frac{\sqrt{50}+\sqrt{18}+\sqrt{8}}{3} = \frac{10}{3} . \sqrt{2}[/tex]

ok done. Thank to me :>

Answer:

it's answer is 10/-15.........

Answer:

2812.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Math nerds, algebros?

Answer:

Check the steps given below.

Step-by-step explanation:

I hope this helps you

Answer:

n = 55

n+15 = 70

2n = 110

Step-by-step explanation:

these angles are called 'same-side interior angles' and are supplementary

so we can add them together and set them equal to 180

n+15 + 2n = 180

combine 'like terms' to get:

3n + 15 = 180

subtract 15 from each side to get:

3n = 165

divide each side by 3 to solve for 'n'

n = 165/3

n = 55

substitute 55 for 'n'

55+15 = 70

2(55) = 110

check: 70 + 110 = 180

Answer:

rational number (might be wrong)

Answer:

1/5 is already in it's simplest form, but you can also write it was 0.2

Answer:  D:  3x + 5y = 2

Step-by-step explanation:

D.  Divide 21 x + 35 y – 14 = 0 by 7 to get:

                  3x  +   5y   -2   = 0

Rearrange:  3x + 5y = 2

Answer:

Above is the step-by-step solution

[tex]\\ \sf\longmapsto p\propto q [/tex]

[tex]\\ \sf\longmapsto p=kq[/tex]

[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]

Now

[tex]\\ \sf\longmapsto p\propto \sqrt{q}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]

Done

Answer

80000

Step-by-step explanation:

200×400

=80000

Answer:

[tex]xv=yu[/tex]

Step-by-step explanation:

You can simplify the equation by cross multiplying, or doing it the more 'correct' way that some teachers way want:

[tex]\frac{x}{y}=\frac{u}{v}[/tex]

Multiply both sides by y:

[tex]x=\frac{yu}{v}[/tex]

Then multiply both sides by v:

[tex]xv=yu[/tex]

That's one of your answer options, so no need to do anything else.

Answer:

0•044 is the correct answer

Answer:

0.044

Step-by-step explanation:

Answer:

91°

Step-by-step explanation:

The answer is 91°. What you do is you name the angle next to 89° with x, and you know that an angle whose arms are horizontal makes 180°. So, you go:

180°=x+89°

x=180°-89°

x=91°.

Now, there is this rule that says that when two angles are on sides like x and ? are, then they are equal. Therefore, the angle marked with ? is 91°.