Is the following relation a function?

Answer:

3x−4y+−3x=6+−3x

−4y=−3x+6

Step 2: Divide both sides by -4.

−4y

−4

=

−3x+6

−4

y=

3

4

x+

−3

2

Step-by-step explanation:

Answer:

y = 0.75x - 1.5

Step-by-step explanation:

3x - 4y = 6

-4y = -3x + 6

y = 3/4x - 6/4

y = 0.75x - 1.5

hope this helps, pls mark brainliest :D

Answer:

[tex]x-200+y[/tex]

Step-by-step explanation:

We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:

Previous balance - Payments + Total Purchases = New balance

where, previous balance = $1000; payments = $800; total Purchases = y

New balance = [tex]1000-800+y[/tex]

Next, to find her Credit balance or current available; we use the formula; Credit line - New balance

where credit balance = x; new balance =  [tex]1000-800+y[/tex]

Current available credit = [tex]x-200+y[/tex]

Answer:

The correct option is;

B, C, and D

Step-by-step explanation:

The labelled letters on the number line are;

A = 2 units to the left of the point 0 = - 2 units

B = 1 units to the left of the point 0 = - 1 unit

C = Located at the point 0

D = 1 units to the right of the point 0 = +1 unit

Therefore, the letters that have their opposites labelled are;

Given that we have;

The opposite of B = -1 is +1 = D

The opposite of D = +1 is -1 = B

The opposite of C = 0 is 0 = C

The letters which have their opposites labelled are B, C and D

Answer: D

Step-by-step explanation:

Answer:

If the slope is positive it is increasing if the slope is negative it is decreasing :)

Example:

Y=mX+b

If m is positive it is a positive slope

Answer:

10 feet worth

Step-by-step explanation:

3+3=6

2+2=4

6+4=10

Answer:

D) 4

Step-by-step explanation:

By remote interior angle property if a triangle, we have:

19x° + (18x - 4)° = 144°

(18x - 4 + 19x)° = 144°

(37x - 4)° = 144°

37x - 4 = 144

37x = 144 + 4

37x = 148

x = 148/37

x = 4

Answer:3

Step-by-step explanation:

-3--9

-3+9=6

Answer:

Its D

Step-by-step explanation:

100 on quiz

Answer:

27.5 answer B

Step-by-step explanation:

55/200 = .275

Answer:

B is the right answer i guess

Answer:

3

Step-by-step explanation:

log 8 512 = 8^ x=512. x=3

Hope this helps :D

Answer:

Step-by-step explanation:

the answers below are hard to read

we have 4 cm/year  and the realtor wants to convert in mm/day

4 cm=40 mm  this is our first step

1 year=365 days

we will have 40mm/365days

or 4cm/1 year x 10 mm/365 days

Answer:

(-3, 3/2)

Step-by-step explanation:

Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function

y-intercept occurs at x = 0

Substitute x = 0  into the expression

y - 2(0) < -3

y < -3

Find the x-intercept by substituting y = 0 into the expression

0 - 2x < -3

-2x < -3

x > 3/2

Hence the ordered pair is (x, y) = (-3, 3/2)

Answer:

A. y = 5/4x - 3

B. slope is 5/4

C. y intercept is -3

D. Increasing

Step-by-step explanation:

5x - 4y = 12

Slope intercept form: y = mx + b

4y = 5x - 12

y = 5/4x - 3

Slope is 5/4

Y intercept is when x = 0 so it is -3

the slope is positive, therefore the line is increasing

Answer:

It will take John 45 minutes (option 3 or C) to finish the test.

Step-by-step explanation:

We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.

75 ÷ 5 = 15

Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.

15 x 3 = 45 minutes

Therefore, it will take John C. 45 minutes to finish the test.

Step-by-step explanation:

S is equal to Q

Q= 48.5

there are two angels (S,Q). They equal 48.5

so 48.5x2= 97

all angels together (QRSP) equals 360

you can take the 97 and subtract it from the 360 =263

divide 263 to get the angels for P and R

S= 48.5

Q=48.5

R=131.5

P=131.5

Step-by-step explanation:

The sequence is an AP with common difference -7.

Therefore the next 2 terms are 1 and -6.

The next two terms are ( 1, - 6 ) so the correct answer is option D.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

The next two numbers will be calculated as:-

22, 15, 8, __, __

Common difference = 15 - 22 = -7

Add this common difference in 8 to find the next term.

Next term = 8 - 7 = 1

Again add -7 to 1 to find the next term.

Next term = 1 - 7 = -6

Therefore the next two terms are ( 1, - 6 ) so the correct answer is option D.

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Answer:

4.5×10¹¹

Answer:

[tex](5 \times 10 {}^{3} ) \times (9 \times 10 {}^{7} )[/tex]

i) use the commutative property to rearrange the terms: a+b = b+a

[tex](5 \times 9) \times (10 {}^{3} \times {10}^{7} )[/tex]

ii) multiply the number in the 1st bracket

[tex]45 \times ( {10}^{3} \times 10 {}^{7} )[/tex]

iii) multiply the 2nd bracket by adding their exponents

[tex]45 \times 10 {}^{3 + 7} [/tex]

[tex]45 \times 10 {}^{10} [/tex]

iv) write the answer in standard form

[tex]4.5 \times 10 {}^{10 + 1} [/tex]

[tex]4.5 \times {10}^{11} [/tex]

The given equation that should be in the standard form should be like a [tex]4.5\times 10^{11}[/tex].

Since

The equation is [tex](5\times 10^3) \times (9\times 10^7)[/tex]

Now here we use the commutative property

So,

[tex]45 \times (10^3 \times 10^7)\\\\45 \times 10^{10}\\\\4.5 \times 10^{11}[/tex]

Here, we multiply the number in the 1st bracket, then add, it and then finally in standard form.

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Answer:

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Answer:

x=-28

Step-by-step explanation:

Subtract 19 from both sides.

-9 -19 = -28

Answer:

-28

Step-by-step explanation:

you need to get x by itself, so subtract 19 on each side. -9-19= -28

Answer:

The baseball reached 9 feet high above the ground

Step-by-step explanation:

The given quadratic function representing the position of the baseball above ground is p(t) = 1/2·g·t² + v₀·t + p₀

Where;

t ≥ 0

g = -32 ft./sec²

v₀ = The initial velocity

p₀ = The initial position

Given that when the ball is thrown, we have;

The initial, straight up, velocity, v₀ = 16 ft./sec

The initial position, p₀ = 5 ft.

Substituting the above values in the quadratic function representing the position of the baseball above ground, we have;

p(t) = 1/2·(-32)·t² + 16·t + 5 = 16·t - 16·t² + 5

At the maximum point, the rate of change of the height with time = 0, therefore;

dp(t)/dt = 0 = d(16·t - 16·t² + 5)/dt = 16 - 32·t

16 - 32·t = 0

16 = 32·t

t = 16/32 = 0.5 seconds

Therefore, the time takes to reach the maximum height = 0.5 seconds

The height (maximum) reached in 0.5 seconds is given as follows;

h(t) = 16·t - 16·t² + 5, from which we have;

h(0.5) = 16 × 0.5 - 16 × (0.5)² + 5 = 9

Therefore, the height baseball reached = 9 ft. above ground

Answer: 96

Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)

so 1/2 (16)(12)

= 96

Concept: Domain & Range

Answer:

Hey man, I don't really know how to do these problems following those exact steps, but these are the steps i used to solve it:

Step-by-step explanation:

1: (8 x 3/4) to find price for 1. then multiply by 13 [(8x3/40x13]

2: 6x13

3:$78

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

What is the constant variation of Y 1 2x?

The constant of variation, k , is 12 .

Step-by-step explanation:

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Answer:

Step-by-step explanation:

y= -2x+6

Y intercept is 6

X intercept is 3

Answer:You have too add $45.25 by 5 and divided the answer you got from adding the $45.25

Step-by-step explanation:

Hope this helps!

Answer:

=

Step-by-step explanation:

Round off 12 and get 10

Answer:

114°

Step-by-step explanation:

because they are parallel they have the same measure

The measure of angle 3 is equal to 114° when angle 7 is 114° by the corresponding angle property.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.

In the image, it is given that angle 7 is 114 degrees. As in the image, the two parallel lines a and b are cut by the transversal line. The given angle 7 is 114°.

From the correspondence angle property, the two angles on the same side of the transversal line will be equal to each other. The angle 3 will be calculated as:-

∠7 = ∠3

114 =  ∠3

Therefore, angle 3 will be 114°.

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Step-by-step explanation:

3 supervisors = 60 employees

=> 264 supervisors = 60 * (264/3) = 5,280 employees. (C)