Full explanation and answers on these 2 questions please. Also only answer if u know what ur doing.

Full Explanation And Answers On These 2 Questions Please. Also Only Answer If U Know What Ur Doing.

Answers

Answer 1

Step-by-step explanation:

Q3

25 - (x-8)²/4 = [100 - (x-8)²]/4

[100 - (x²- 16x + 64)]/4

(100 - x² + 16x - 64)/4 = (-x² + 16x + 36)/4

(36 + 16x - x²)/4 = (36 - 2x + 18x - x²)/4

[2(18 - x) + x(18 - x)]/4 = [(2 + x)(18 - x)]/4

....proved

Q4

3(ax + 7) - 2(x + b) = 4x + 29

expanding,

3ax + 21 - 2x - 2b = 4x + 29

3ax - 2x + 21 - 2b = 4x + 29

Comparing terms; x terms,

3ax - 2x = 4x

3a - 2 = 4

3a = 6

a = 6/3

a = 2

constant terms,

21 - 2b = 29

21 - 29 = 2b

2b = -8

b = -8/2

b = -4

.... proved


Related Questions

let f(x)=3x^2-6x+5 what is the leading coefficient

Answers

I think the answer is 3

Helppppppppppppp helppppppppppppp

Answers

Answer:

Should be the first answer, x=5

Step-by-step explanation:

This would flip the graph and the square would land on top of where it currently is.

How do I subtract fractions? Please explain step by step to get marked as brainliest

Answers

Answer: Here I hope this helps!

Step-by-step explanation:

For example lets work with this fraction

 [tex]\frac{6}{5} -\frac{3}{7}[/tex]

First you need to find a common denominator. (The number at the bottom of the fraction always.)

Multiply until you get a number both denominators go into.

For this it would be 35.

[tex]\frac{6}{5} -\frac{3}{7}[/tex]

5x7=35  7x5=35

You then have to do the same to the top as you did the bottom.

So multiply your numerators (number at the top) the same number as you did to the denominator below it.

[tex]\frac{6}{5} -\frac{3}{7}[/tex]

So 6x7=42.    

And 3x5=15

You then subtract the numerators.

42-15=27

So now you have [tex]\frac{27}{35}[/tex]

[tex]\frac{6}{5} -\frac{3}{7}[/tex] =[tex]\frac{27}{35}[/tex]

Hope this helps! Have a great day!!

Make x the subject of the formula
t=
[tex] \sqrt{2(x - ut) \div a}[/tex]​

Answers

[tex]t = \sqrt \frac{ {2(x - ut)} }{a} \\ = > t = \sqrt{ \frac{2x - 2ut}{a} } \\ = > {t}^{2} = \frac{2x - 2ut}{a} \\ = > a {t}^{2} = 2x - 2ut \\ = > \frac{ { - at}^{2} }{2ut} = 2x \\ = > \frac{ - at}{2u} = 2x \\ = > \frac{ - at}{2u \times 2} = x \\ = > \frac{ - at}{4u} = x[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

the cost of a popsicle at the snack stand is $0.75 let p represent the number of popsicles and c represent total cost use an equation to represent the relationship between the numbers of popsicles bought and the total cost

Answers

Answer:

0.75p=c

Step-by-step explanation:

if the telephone was invented in 1876 how old was it in 1991 how long had it been around

Answers

Answer:

115 Years Old

Step-by-step explanation:

1991-1876 = 115

1991 - 1876 = 115 Years Old.


[tex] \frac{8}{20} < > = \frac{7}{13} [/tex]
Compare these factions

Answers

Answer:

<

Step-by-step explanation:

Good Question!

8/20=4/10=2/5=0.4

7/13= lcm of 5 and 13 is 75.

26/75 [<] 35/75

:)

Answer: < less than

Step-by-step explanation:

1. Find LCM of 20 and 13.

20: 20,40,60,80,100,120,140,160,180,200,220,240,260,280

13: 13, 26, 39, 52, 65, 78, 91, 104, 107, 110 ...... 234, 247, 260

The LCM is 260.

2. 20*13 = 260 13*20=260

therefore we need to multiply the numerator by those 13 and 20.

8*13 = 104 7*20 = 140

3. compare Fractions:

(104/260) < (140/260)

What is the Domain and Range of the relation shown in the table? x y 8 -4 6 -2 4 3 2 6

Answers

Answer:domain: {2,3,4,7} range: {0, 5, 9, 32}

Step-by-step explanation:

The domain is the set of all the values of x x . The range is the set of all the values of y y .

Using the following image, solve the problems below given that M is the midpoint of VW.

If you are using a screen-reader, please consult your instructor for assistance.Using your setup, what are the values of x, VM, MW, and VW?

Answers

The midpoint of a line segment divides the line segment into equal halves.

The value of x is 4The value of VM and MW is 15The value of VW is 30

Point M is the midpoint of line segment VW.

So, we have:

[tex]VM = MW[/tex]

Substitute known values

[tex]4x - 1= 3x+3[/tex]

Collect like terms

[tex]4x - 3x = 1 + 3[/tex]

Evaluate like terms

[tex]x = 4[/tex]

Hence, the value of x is 4

The expression for VM is:

[tex]VM = 4x - 1[/tex]

So, we have:

[tex]VM = 4(4) - 1[/tex]

[tex]VM = 15[/tex]

Hence, the value of VM and MW is 15

The length of VW is the sum of both lengths.

So, we have:

[tex]VW = 15 + 15[/tex]

[tex]VW = 30[/tex]

Hence, the value of VW is 30

Read more about midpoints at

https://brainly.com/question/18315903

using guassion elimination metheed x+2y-3y=11,3x+2y+z=1, 2x+y-5z=11

Answers

3y-2y+2y-y+3x-x+2x+z+5z=1+11+11
2y+4x+6z=23

Help me please I don’t wanna fair math

Answers

Step-by-step explanation:

To find the equation you must first find the gradient and also look for the points on the graph.

I see point ( 0, 2) and point (4, 1)

Hence first find the gradient before equation

the gradient = y2-y1/x2-x1

y2 = 1

y1 = 2

x2 = 4

X1 =0

if you put in the values it will look like

1-2/4-0

-1/4

the gradient = -1/4

So for the equation the formula is

remember m is the gradient

y - y1 = m ( x - x1 )

so put in the value from only one point so you can choose either (0,2 ) or (4,1 )

I will go with (4, 1)

y - y1 = m ( x - x1 )

y - 1 = m ( x - 4 )

y -1 = -1/4 ( x - 4)

4 ( y-1) = -1(x-4)

4y- 4 = -1x +4

4y - 4 -4 = -1x

4y -8= -1x

4y + 1x -8 = 0

this is the equation.

thanks and good luck.

Divide.

1585 ÷ 25


63

6312

6325

63710

Answers

Answer:

The answer is 63 2/5

Step-by-step explanation:

Converting to mixed numbers divide 317 by 5.

5 goes into 31 at most 6 times and 5 goes into 17 at most 3 times.

The quotient of 317/5 is 63 with remainder of 2, so answer is 63 2/5.

The store Skate4you buys skateboards from a manufacturer at a wholesale price of $57. The store's markup
is 150%. Calculate the amount of markup. What is the retail (selling) price for a skateboard from Skate4you?

Answers

Answer:

$85.50

Step-by-step explanation:

57 x 1.5 = 85.5

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000

Answers

What is the question?

Answer:

R(x)=2x.

Step-by-step explanation:

We get the total revenue by multiplying the revenue per unit times the numbers of units sold, so the general Revenue function is given by

R(x)=selling price per unit⋅x.

The manufacturer sells each energy drink for $2 so the Revenue function is :R(x)=2x.

A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?

Find the number of meters a speed skater and a cheetah travel in 1 second.

A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.

Answers

skater 500 m / 40 sec= 12.5 m/ sec

Cheetah 260/10 = 26 m/ sec= The cheetah is more than twice as fast as the skater

So number 1 is 12.5

Number 2 is 26

One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?​

Answers

Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
x = 5y
xy = 320

Substitute the first equation into the second equation
(5y)(y) = 320
5y^2 = 320
y^2 = 64
y = 8 (y must be positive)

The integers are (x, y) = (40, 8).

One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technologyShow your work and include all intercepts in your answer.

Answers

Answer:

x-intercept(s):  (−1.9900717,  0)

y-intercept(s): (0, 52.5)

Step-by-step explanation:

To find the x-intercept, substitute in  [tex]0[/tex]  for  [tex]y[/tex]  and solve for  [tex]x[/tex]. To find the y-intercept, substitute in  [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex] .

[tex]f(x)=y[/tex]

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

x-intercept

To find the x-intercept(s), substitute in  [tex]0[/tex]  for  [tex]y[/tex]  and solve for  [tex]x[/tex] .

[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]

[tex]=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)[/tex]

[tex]=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10[/tex]

[tex]=0=10x^3-80x^2+170x-105\left(x-5\right)[/tex]

[tex]=0=10x^3-80x^2+65x+525[/tex]

[tex]=10x^3-80x^2+65x+525=0[/tex]

[tex]=10x^2-99.90071\dots x+263.80959\dots \approx \:0[/tex]

[tex]\bold{x\approx \:-1.99007\dots}[/tex]

y-intercept

[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]

[tex]=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)[/tex]

[tex]=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)[/tex]

[tex]=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)[/tex]

[tex]=y=0-0+0-\left(-52.5\right)[/tex]

[tex]=0-0+0+52.5[/tex]

[tex]\bold{y=52.5}[/tex]

Salaar, Waleed and Muazzam share $ 256. Waleed;s share is four times as much as Salaar. And Salaar's share is one-third of muazzam's. How much is each of their share?​

Answers

Answer:

S 32, W 128, M 96

Step-by-step explanation:

W = 4S

S = 1/3M, or 3S = M

S + W + M = 256

Substitute

S + 4S + 3S = 256

8S = 256, S = 32

S = 32

W = 4S = 128

M = 3S = 96

Please help………………………

Answers

Answer:

= 180

y = 34

is the answer

What is the answer to y=-2(-3/2)-9

Answers

Answer:

-6

Step-by-step explanation:

y = -2 x -3/2 - 9

3 - 9 = -6

Hey there!

y= -2 (-3/2) - 9

-2(-3/2) = [3]

y = 3 - 9

y = -6

Therefore, your answer is: y = -6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Draco runs a rate of 8 miles in 2.5 hours, how
fast does Draco run?

Answers

3.2 mile per hour

8/ 3.2

Jonah and Jesse are taking a trip. Jonah left at 7 a.m. and travel at an average of 40 miles per hour. Jesse left at 10 a.m. and travel at average of 50 mph. At what time are they at the same place at the same time? Write a system of equations to represent this situation. Then use the substitution method with that system to determine at what time they will be in the same location. How many miles away from will they be at that time?

NO LINKS! ​

Answers

Answer:

y=40(t -7); y=50(t-10)t=22; 10 p.m.y=600 miles from home

Step-by-step explanation:

a) Let t represent the clock time (hours after midnight). The distance from home will be ...

  distance = speed × time

  jonah = 40(t -7)

  jesse = 50(t -10)

  jonah = jesse . . . . . . . same distance from home at the same time

(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)

__

b) substituting the first two equations into the second, we get ...

  40(t -7) = 50(t -10)

  4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses

  22 = t

Jonah and Jesse will be at the same place at 10 p.m.

__

c) We can find the distance by substituting into either equation.

  jonah = 40(22 -7) = 40(15) = 600

They will be 600 miles from home at that time.

Mrs. Baca uses a phone card to call a relative in Colombia, It cost her 45 cents to talk for 15 minutes. Choose True or False for each statement.
A. For 45 cents, Mrs. Baca can talk for 3 minutes. True or False.
B. The call rate is 3 cents per minute. True or False.
C. The call rate can represent by the ratio 445:15. True or False.
D. Divide 75 by 15 to find the number of minutes Mrs. Baca can talk. True or False.

Answers

Answer:

A: False

B: True

C: False

D: False

Hope This Helps!!!

Need help asap please !!!

Answers

The answer would be M= 1/4

Which coast less per bag 18 tea bags for 2.70 or 64 tea bags for 9.28

Answers

Answer:

64 tea bags for 9.28

Step-by-step explanation:

5-x=3
Work out the value of 3x2

Answers

Answer:

No

Step-by-step explanation:

5-X=3

X=5+3

X=8

5-8=3

Complete the table for this equation. y=x+6

Answers

Answer:

Step-by-step explanation:

Help help math math math

Answers

Answer:

  x = 16

Step-by-step explanation:

The two marked angles are supplementary:

  (7x -2) +(4x +6) = 180

  11x +4 = 180

  11x = 176

  x = 176/11 = 16

The value of x is 16.

_____

Additional comment

The angle on the left is 110°; the one on the right is 70°, so that answer checks.

These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.

Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.

Answer: x=1 6

Step-by-step explanation:

PLS HELP FAST!!
During a snowstorm, Lucy tracked the amount of snow on the ground. When the storm began, there were 4 inches of snow on the ground. For the first 2 hours of the storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 5 hours and then started again at a constant rate of 1 inch per hour for the next 7 hours. Make a graph showing the inches of snow on the ground over time using the data that Lucy collected.

Answers

The answer is 6

Hope this helped

Sammy factored the polynomial x2 + x - 6. She came up with the factors of
(x-3) and (x-2). Describe and correct the error.

Answers

Answer:

(x+3) and (x-2) are the correct factors

Step-by-step explanation:

If we expand (x-3)(x-2), we see that it equates to x²-5x+6, which is not what we want. The correct factors would be (x+3)(x-2) since the middle term's coefficient becomes 1 as 3-2=1 whereas -3-2=-5.

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