Does the following relationship represent a function?

Answer:

a(5+b)

5a+ab

Step-by-step explanation:

Answer:

5a + ab

Step-by-step explanation:

a(5 + b)

Times a by 5 and by b

5a + ab

Answer:

Step-by-step explanation:

The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.

The whole journey took him 1hr.

Let S denotes the average speed (in km/hr) for the first 40 km.

Hence we get the following relation,

40/S + (90 - 40)/(S + 20) = 1

or 50/(S + 20) = 1 - 40/S = (S - 40)/S

or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0

or S = 80 (km/hr) [Ans]

[S cannot be negative value]

Answer:

x = 21

Step-by-step explanation:

The angles are supplementary

therefor

(3x + 2) + (5x + 10) = 180

Combine like terms

8x + 12 = 180

subtract 12 from both sides

8x = 168

Divide both sides by 8

x = 21

Answer:

x = 21

Step-by-step explanation:

The angle adjacent to 3x + 2 corresponds to 5x + 10 and are congruent.

The 2 adjacent angles then lie on a straight line and sum to 180° , then

5x + 10 + 3x + 2 = 180

8x + 12 = 180 ( subtract 12 from both sides )

8x = 168 ( divide both sides by 8 )

x = 21

Answer:

Option B: (x= -8, y=10, z=-6)

Step-by-step explanation:

2x + 4y + 3z = 6 ... eq.(1)

5x + 8y + 6z = 4 ... eq.(2)

4x + 5y + 2z = 6 ... eq.(3)

From eq.(1),

2x= 6 - 4y - 3z

x= (6-4y-3z)/2 ... eq.(4)

Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)

In eq.(2),

5[(6-4y-3z)/2] +8y +6z =4

Multiplying through by 2

5(6-4y-3z) + 16y + 12z = 8

30-20y-15z+16y+12z = 8

22= 4y + 3z ... eq(5)

In eq.(3),

4[(6-4y-3z)/2] +5y +2z = 6

2(6-4y-3z) +5y + 2z =6

12-8y-6z + 5y +2z = 6

6= 3y + 4z ... eq.(6)

Multiplying eq.(5) and eq.(6) by 3 & 4 respectively

66=12y + 9z ... eq(8)

24=12y + 16z ... eq(9)

Subtracting eq(8) from eq(9)

42= -7z

z= -42/7

z = -6

Putting z as -6 in eq.(5)

22= 4y + 3(-6)

22= 4y -18

4y = 40

y = 40/4

y = 10

Putting y as 10 and z as -6 in eq(4)

x = [6 - 4(10) - 3(-6)]/2

x = (6 - 40 - 18)/2

x = -16/2

x = -8

x= -8, y= 10 , z= -6

Answer:

25 seconds

Step-by-step explanation:

Two methods:

1)  Calculate Tyana's speed in m/sec:  4m/5sec = 0.8 m/sec.  Now find the number of seconds, x, needed to travel 20 meters:

 x*(0.8 m/sec) = 20 m

x = 20 m/(0.8 m/sec)

x = 25 seconds

2)  Do a proportion.  If Tyana can swim 4 meters in 5 sec, then she can do 8 meters in 10 seconds.  That also then means 16 meters in 20 seconds.  Another 5 seconds adds another 4 meters, for a total of  20 meters in 25 seconds.

Answer:

2 minutes

Step-by-step explanation:

700/10 = 70

1 minute = 70 times

140/70 = 2 minutes

Answer:

2 minutes

Step-by-step explanation:

The heart beats 70 times per minute so 70+70=140.

Answer:

proly

Step-by-step explanation:

2 * (2z-9) + 2 * (10z)

4z-18 + 20z

24z - 18

Answer:

22z

Step-by-step explanation:

10+10+2z-9+2z-9= 22z

Answer:

D or B

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Answer:

1 stamp = $0.51

Step-by-step explanation:

20 stamps = $10.20

=> 1 stamp = 10.20/20

=> 1 stamp = $0.51

Hoped this helped.

Answer:

x=16

Step-by-step explanation:

Heres the work below

Hope this Helps

Answer:

-53

Step-by-step explanation:

(x+2)

x^4 =       -2^4 = 16

15x^3 =     15* (-2)^3 = -120

6x^2 =       6(-2^2) = 24

12x =        12*(-2) = -24

substitute into equation:

x^4 + 15x^3 + 6x^2 - 12x + 3 = 16+ (-120) + 24 - (-24) + 3 = -53

Given Polynomial is x^4 +15x^3 +6x^2 - 12x +3

Divisor = x+2

We know that

Remainder Theorem:

Let P(x) be a polynomial of the degree is greater than or equal to 1 and (x-a) is another linear polynomial,If P(x) is divided by (x-a) then remainder is P(a).

So, P(x) is divided by (x+2) then the remainder is P(-2).

P(-2) =

⇛(-2)^4+15(-2)^3+6(-2)^2-12(-6)+3

⇛ 16+15(-8)+6(4)+72+3

⇛16-120+24+72+3

⇛ 67-120

⇛ -53

P(-2) = -53

Answer:- The remainder is -53.

Also read similar Questions: What is the remainder when the polynomial 7x^2+15x-12 is divided by x+3?..

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The remainder obtained when x^4 + 3x^2 - 2x + 2 is divided by (x + b) is the square of the remainder obtained when x^2 – 3 is divided by (x + b...

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Answer:

Each angle measures 45° with diagonals

Step-by-step explanation:

Answer:

5,_5,5,

_8,_3,5,

Step-by-step explanation:

from 5 u get _8,from _5 you get _3 and so on

Answer:

1.) 38.2

2.) -62.8

4.) -38.2

Answer:

You haven't explained the  time for account A - we will assume 12 months or the answer is obvious:

for Acct(A) :   I = 12.5 = A1  * .04           A1 =  $312.50

for Acct(B)     I = 11.25 = A2 * .03 * 5/4 = 300

Note that annual interest in B is .03 or I = .03 + .03 * 1/4 = .0375 for 15 mos.

11.25 = .0375 * A2     A2 = 300

Account A will have the greater principal

Answer:

It is B I believe, if not it's you're fault for not putting the choices...

Step-by-step explanation:

4) total length of the journey is

1st hr = 74km 224m = 74224m

2nd hr = 74km 224m = 74224m

3rd hr = 58km 56m = 58056m

4th hr = 62km 8m = 62008 m

total distance (adding all) = 268512m = 268km 512m .

5) total weight = 22kg 200g = 22200g

mangoes weight = 14kg 750g = 14750g

apples weight = 5kg 80g = 5080g

total weight - fruits weight

(22200-14750-5080)g

= 2370g

= 2kg 370g.

hope this helps you.

Answer:is easy

Step-by-step explanation:

your answers are:

A. 76

B. 35

C. 48

D. 62

E. 77

F. 78

G. 87

H. 67

I. 32

J. 63

K. 72

L. 78

Answer:

4 ounces each

Step-by-step explanation:

16 ounces = 1 pound

16x2=32

32/8=4

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve the problem in 2 steps, one being Solving, and the second being Comprehending. I'll start with comprehending.

Comprehending

We can start by analyzing the problem and creating an equation to then begin solving.

So, we know that a number, which we will call [tex]x[/tex] has a discount of 10% to get the current price of $810. We know that when there is a discount, we need to find what the 10 percent is then add it to the current price;$810.

We can create a formula and steps by doing the following:

[tex]x*0.9=810[/tex]

We have 0.9 as there is a 10% discount (0.1) and we subtract 1.00 by 0.1 to get 0.9. (Which is 90%).

This states that 90% of a number is equal to 810.

Now that we have an equation, we can begin solving.

Solving

We can solve the problem by using basic algebra.

[tex]x*0.9=810\\x*\frac{9}{10}=810\\x=(810*10)\div 9\\x=8100 \div 9\\x=900[/tex]

On step 1, we convert the decimal to a fraction for easy simplification/solving.

On step 2, we split the fraction into two and since we're dividing, we can flip the fraction and multiply by 10 and divide by 9.

On step 3, we use basic algebra and after step 4 we get our answer.

We can double check out answer by doing the following:

[tex]900-(900*0.10)=810?\\900-90=810?\\810=810[/tex]

We have checked our answer and gotten our answer of $900.

Cheers!

Answer:

Step-by-step explanation:

To solve the first question write an equation of

[tex]a=\frac{1}{2} (12)(5)[/tex]

[tex]a=\frac{1}{2} 60[/tex]

[tex]a=30[/tex]

To find the answer to the second question we need to know how to classify the different triangles

Equilateral Triangle- 3 equal sides and 3 equal angles (angles always are 60)

Isosceles Triangle- 2 equal sides and 2 equal angles

Scalene Triangle- No equal sides and no equal angles

So this triangle has no equal sides or angles meaning that it is a scalene triangle

Answer: The area of the triangle is 30

The triangle is a scalene triangle

Step-by-step explanation:

Answer:

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

y = 5x - 18

The slope-intercept form of the line equation

where

   m is the slope

   b is the y-intercept

In our case, we are given

   m = 5

   Point (4, 2)

now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx + b

2 = 5(4) + b

20 + b = 2

subtract 20 from both side

20 + b - 20 = 2 - 20

b = -18

now substituting b = -18 and m = 5 in the slope-intercept form of the line equation

y = mx + b

y = 5x + (-18)

y = 5x - 18

Therefore, the equation of a line in the slope-intercept form is:

y = 5x - 18

Pls mark me as brainliest thank you

Answer:

Step-by-step explanation:

m = 4

y = mx +c

y= 4x + c

Plugin x = 3 and y= 4 in the above equation

4 = 4*3 + c

4 = 12 +c

4 - 12 = c

c = -8

Equation of the line :

y = 4x - 8

Answer:

0.2% as a decimal is 0.002, 3.71 as a percentage is 371%

Answer: D.25

Step-by-step explanation:

Since they gave you P(10) You'll have to substitue 10 wherever you see the variable 10.

2(10)+5

 2(10)=20

20+5+25

Answer:

25

Step-by-step explanation:

Since they're asking you to find the value of p(10) when t is 10, you would substitute t out for 10 in the function and then solve.

p(10)=2(10)+5

p(10)=20+5

p(10)=25

[tex]\red{\bold{Answer:}}[/tex]

The Inverse variation of the total stopping distance and the force of the pavement to determine the speed the car travelling.

#BrainlyFast

#CarryOnLearning

(≡^∇^≡)

Answer:

13 uvugugugugycycycycycycy

Step-by-step explanation:

cycle yvy

Step-by-step explanation:

it's somehow confusing because there's no coordinates for line k

Answer: [tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]

Step-by-step explanation:

take 2 points and use slope formula to find slope

[tex]\frac{4-2}{4-1}[/tex][tex]=\frac{2}{3}[/tex]

take the slope and a point on the graph and use point slope formula to get equation in point slope intercept form

[tex]y-2=\frac{2}{3}( x-1)[/tex]

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

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

[tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]

Answer: y = 4x + 2

Step-by-step explanation:

A linear equation is usually in y= mx + b form, where m is the slope and b is the y-intercept.

In order to calculate the slope, we choose two-point from the graph. (-1 ,-2) and (0, 2).

slope = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

        = (2 - (-2)) / (0 - (-1))

        = (2 + 2) / (0 + 1)

        = 4 / 1

        = 4

y-intercept means the y value when x is 0, according to the graph, the y value when x at 0 was 2. So the y-intercept is 2.

Plug both slope and y-intercept in, we get the equation:

            y = 4x + 2

Answer: y = 4x + 2

Step-by-step explanation: