The length of Dwight's garde is 12.5 meters. Dwight measured it but made a measurement error of 6%. Find the lowest and highest measurement Dwight could have made. Show your work.

Answer:

2 c ( 7c + 1 )

Step-by-step explanation:

because 14 and 2 go into the table of 2

you first find out what number in table 2 go into 14 in this case 7 times 2 and then you find what number in the time table 2 give you 2 so it's 2 times 1. because it's c squared you can't not put both c inside due that would not be factorizing due that it's common and it does not have to be common.

so the answer will be 2c(7c+1)

Answer:

y = 2,500x + 5,000

Rate of change = $2500 a year

Initial value = $5000

Step-by-step explanation:

We have 3 values to figure what is the function here, the rate of change, and the initial value.

To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.

Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.

$7,500 - $5,000 = +$2,500/year

Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.

y = ????x + 5,000

You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!

y = 2,500x + 5,000

Answer:

y=2500x + 5000

2500

5000

Step-by-step explanation:

Answer:

The equation of line with  slope: -3 and y-intercept: -6​ is [tex]\mathbf{y=-3x-6}[/tex]

Step-by-step explanation:

We need to write an equation of the line with the given slope and y-intercept. slope: -3 ,y-intercept: -6​

The general equation for slope-intercept form is: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept.

We are given in the question:

slope: -3 y-intercept: -6​

So, we have slope m = -3 and y-intercept b = -6

Putting values in the slope-intercept form equation:

[tex]y=mx+b\\y=-3x-6[/tex]

So, The equation of line with  slope: -3 and y-intercept: -6​ is [tex]\mathbf{y=-3x-6}[/tex]

Answer:

Standard Form           Equivalent Form            Extreme Values

y=x^2-6x+17                   (x-3)^2+8                        (3,8)

y=x^2+8x+21                  (x+4)^2+5                        (-4,5)

y=x^2-16x+60                 (x-8)^2-4                         (8,-4)

Step-by-step explanation:

1) Standard form:

y=x^2-6x+17

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2-6x+17\\y=x^2-2(x)(3)+(3)^2-(3)^2+17\\y=(x-3)^2-9+17\\y=(x-3)^2+8[/tex]

So, Equivalent form is: (x-3)^2+8

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate is: 2x-6

Now, put the derivate equal to zero: 2x-6 = 0

[tex]2x=6\\x=6/3 \\x=3[/tex]

Maximum value can be found by putting minimum value in the given function:

Put x = 3 and solve:

[tex](3)^2-6(3)+17\\9-18+17\\9-1\\=8\\[/tex]

So, the extreme values is: (3,8)

2) Standard form:

y=x^2+8x+21

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2+8x+21\\y=x^2+2(x)(4)+(4)^2-(4)^2+21\\y=(x+4)^2-16+21\\y=(x+4)^2+5[/tex]

So, Equivalent form is: (x+4)^2+5

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2+8x+21 is: 2x+8

Now, put the derivate equal to zero:

[tex]2x+8 = 0\\2x=-8\\x=-8/2 \\x=-4[/tex]

So, minimum value is: -4

Maximum value can be found by putting minimum value in the given function:

Put x = -4 and solve:

[tex]x^2+8x+21\\=(-4)^2+8(-4)+21\\=16-32+21\\=5[/tex]

So, Maximum value is: 5

So, the extreme values is: (-4,5)

3) Standard form:

y=x^2-16x+60

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2-16x+60\\y=x^2-2(x)(8)+(8)^2-(8)^2+60\\y=(x-8)^2-64+60\\y=(x-8)^2-4[/tex]

So, Equivalent form is: (x-8)^2-4

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2-16x+60 is: 2x-16

Now, put the derivate equal to zero:

[tex]2x-16 = 0\\2x=16\\x=16/2 \\x=8[/tex]

So, minimum value is: 8

Maximum value can be found by putting minimum value in the given function:

Put x = 8 and solve:

[tex]x^2-16x+60\\=(8)^2-16(8)+60\\=64-128+60\\=-4[/tex]

So, Maximum value is: -4

So, the extreme values is: (8,-4)

Answer:

the dude above me i right i got i right on the test in edmentum

Step-by-step explanation:

Answer:

Number of cinammon = 12

Number of chocolate = 21

Step-by-step explanation:

Given that:

Cost of Cinnamon candle , c = $3.50

Cost of chocolate candle , d = $2.50

Total amount raised, T = $94.50

d = 2c - 3

Total amount = (cost of Cinnamon * number sold) + (cost of chocolate * number sold)

94.50 = (3.50 * c) + (2.50 * (2c-3))

94.50 = 3.50c + 5c - 7.5

94.50 = 8.50c - 7.5

94.50 + 7.5 = 8.50c

102 = 8.50c

c = 102 / 8.50

c = 12

d = 2c - 3

d = 2(12) - 3

d = 24 - 3

d = 21

Answer:

D.) 21

Step-by-step explanation:

Step-by-step explanation:

❀[tex] \underline{ \underline{ \text{Given}}} : [/tex]

Then, Increment of the marks = 30 - 20 = 10

❀ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

❀ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \sf{Percentage \: of \: increment = \frac{Increase \: of \: marks}{Initial \: marks} \times 100\%}}[/tex]

⇒ [tex] \sf{ \frac{10}{20} \times 100\%}[/tex]

⇒ [tex] \boxed{ \sf{50 \: \%}}[/tex]

[tex] \pink{ \boxed{ \boxed{ \bold{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{50\%}}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

[tex]m=3x^{3} +2[/tex]

Step-by-step explanation:

[tex]4x^{2} -x+m=3x^{2} +x+2[/tex]

[tex]4x^{2} +m=3x^{2} +2x+2[/tex]

[tex]x^{2} +m=2x+2[/tex]

[tex]m=3x^{3} +2[/tex]

Answer:

7.21

Step-by-step explanation:

Solution,

Given,

base = 4

perpendicular = 6

hypotenuse = ?

Now,

By the formula of Pythagoras Theorem,

h^2 = p^2 + b^2

h^2 = 6^2+4^2

h^2 = 36+16

h = sqrt ( 52 )

h = 7.21

Therefore, the value of x (hypotenuse) is 7.21 .

Answer:

x= 7.21///no

Step-by-step explanation:

4^2 + 6^2 = 52

take the square root which equals 7.21

///

Pythagorean triples consist of perfect squares, like 2^2 is for the side that is equal to 4, 6 is not a perfect square.

Answer:

An = 74(1.07)^n-1

Step-by-step explanation:

Here, we want to get the explicit rule

We are told that the sequence is geometric

At hour 4, we have that this is the 4th term

With conformance to the rule of geometric progression;

T4 = ar^3

90 = ar^3

for the 6th hour, this is the sixth term

103 = ar^5

dividing the 6th term by the 4th term, we have that

103/90 = ar^5/ar^3

103/90 = r^2

r = 1.07

To get a, we simply use any of the terms to substitute

using;

ar^3 = 90

a = 90/r^3

a = 90/1.07^3

a = 73.5 which is approximately 74

So the explicit rule is as follows;

An = 74(1.07)^n-1

Answer:

40.

Step-by-step explanation:

5=1/5x-3

8=1/5x

40

Brainliest PLS

Answer:

what is the calculation question you want in money

Answer:

A.) $0.89

Step-by-step explanation:

2(4x+3y=7.43)

-3(5x+2y=7.03)

8x+6y=14.86

-15x-6y=-21.09

add the two equations

-7x=-6.23

divide by -7

x=.89

Answer:$0.89

Step-by-step explanation:

Solution by substitution method

4n+3p=7.43

5n+2p=7.03

Suppose,

4n+3p=7.43→(1)

5n+2p=7.03→(2)

Taking equation (1), we have

4n+3p=7.43

⇒4n= -3p+7.43

⇒n = -3p+7.43/4

→(3)Putting n= -3p+7.43/4 in equation (2), we get

= 5n+2p=7.03

= 5(-3p+7.43/4)+2p=7.03

⇒-15p+37.15+8p=28.12

⇒-7p + 37.15=28.12

⇒-7p=28.12 - 37.15

⇒-7p=-9.03

⇒p=9.03/7

⇒p= 1.29→(4)

Now, Putting p=1.29 in equation (3), we get

n=-3p+7.43

n= -3(1.29)+7.43 / 4

⇒n= -3.87+7.43 / 4

⇒n= 3.56 / 4

⇒n=0.89

∴n= $0.89 and p=1.29

Answer: OMG i hope they are nice to you

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

I just use a calculator for this.

2 sqrt 5 = 4.4721

If we round off to the nearest tenth, it would be 4.5.

Answer:

Solution given:

2√5 =4.5 is your answer.

Answer:

[tex]3x + 15 = 4x + 12 \\ 4x - 3x = 15 - 12 \\ \boxed{x = 3}[/tex]

Answer:

1. 12

2. [tex]\pi[/tex] or about 3.14

3. 4.5[tex]\pi[/tex] or about 14.13

4. 12 + 5.5[tex]\pi[/tex] or about 29.27

Step-by-step explanation:

1. The rectangle is 6 by 2

6 * 2 = 12

2. They would combine to form a circle with radius 1, so [tex]\pi * 1^2[/tex] = [tex]\pi[/tex], or if you use 3.14 for pi you get 3.14

3. The radius is 3 and it's half of a full circle, so

[tex]\pi * 3^2 / 2= 4.5\pi[/tex], or if you use 3.14 for pi you get 14.13

4. Adding all of these together, you get 12 + 5.5[tex]\pi[/tex] or if you use 3.14 for pi you get 29.27

Answer:

8. 7

9. 9

Step-by-step explanation:

27/12 times 4 is 9, 9-2 is 7

3x-18=x

2x=18

x=9

Answer:

10 years

Step-by-step explanation:

Answer:

The correct options are;

A. [tex]-\dfrac{8}{3} \ miles[/tex]

D.  [tex]2\dfrac{2}{3} \ mile[/tex] below sea level

Step-by-step explanation:

The given parameters are;

The distance Sasha travels down before a stop = -2/3 mile

The level at which Sasha starts to hike into the canyon = Sea level

Therefore, we have;

Her elevation at the fourth rest station = 4 × -2/3 mile = -8/3 miles

Therefore, we have;

-8/3 mile = [tex]2\dfrac{2}{3} \ mile[/tex] below sea level

Therefore, the correct options are;

-8/3 mile and  [tex]2\dfrac{2}{3} \ mile[/tex] below sea level.

Answer:

19y - 34x = 376

Step-by-step explanation:

We are to write the linear equation of a line passing through the points

(-20, -16), (-1, 18)

Using the points slope form of the equation expressed as;

y-y0 = m(x-x0)

m is the slope

(x0,y0) is any point on the line

m = y2-y1/x2-x1

m = 18-(-16)/-1-(-20)

m = 18+16/-1+20

m = 34/19

Substitute the slope m =34/19 and the point (-1, 18) into the expression given

y- 18 =34/19(x-(-1))

19(y-18) = 34(x+1)

19y - 342 = 34x+34

19y-34x = 34+342

19y - 34x = 376

Hence the required equation is 19y - 34x = 376

Answer:

x = 8

Step-by-step explanation:

:)

Answer:

8

Step-by-step explanation:

I believe one of the rules of angles states that angle (4x-6) = angle (7x-30).

so 4x-6 = 7x-30

moving like terms together,

7x-4x = -6 + 30

3x = 24

x = 24/3

x = 8

Answer:

9600 people would vote.

Step-by-step explanation:

3/5 = .6

16,000 * .6 = 9600

Answer:

g

Step-by-step explanation:

500minute

Step-by-step explanation:

if anthony rides 32 miles in 160 minute then he will ride 1 mile in 5 minutes

Answer:8/9

Hope this helps!!!!!!!

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Answer:

25ft

Hoped this helped!

Answer:

x+24<100

Step-by-step explanation: