Find three consecutive even integers such that the product of the first and second is 8 more than 38 times the third.

Answers

Answer 1

Answer:

40, 42 and 44

Step-by-step explanation:

Mark these even consecutive integers as (2n-2), 2n and (2n+2)

Note that since they are integers, n > 0 and 2n is always even

Writing the equation

(2n-2) * 2n = 38 * (2n+2) + 8

// divide both sides by 2

(2n-2) * n = 19 * (2n+2) + 4

[tex]2n^{2}[/tex] - 2n = 38n + 38 + 4

[tex]2n^{2}[/tex] - 2n - 38n - 38 - 4 = 0

[tex]2n^{2}[/tex] - 40n - 42 = 0

// divide both sides by 2

[tex]n^{2}[/tex] - 20n - 21 = 0

// rewrite the equation

[tex]n^{2}[/tex] + n - 21n - 21 = 0

n * (n+1) - 21n - 21 = 0

n * (n+1) - 21 * (n+1) = 0

(n+1) * (n-21) = 0

// separate the two possible cases

n + 1 = 0 and n - 21 = 0

n = -1              n = 21

Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21

Calculating the consecutive even integers

2n - 2 = 2 * 21 - 2 = 40

2n = 2 * 21 = 42

2n + 2 = 2 * 21 + 2 = 44


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Please find the product of
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Answer:

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Answer:

A and c

Step-by-step explanation:

If im correct A and C is the answer because A and C represent the vertical angles :)

it’s a and c they’re right

Someone help me with this pls

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the slope of the line is: -3/2
-2/3 that’s your slope

3 x 6 + 3^3 + 4^3
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Answers

Answer:

18x + 91

Step-by-step explanation:

Answer:

I believe it will be 118

Step-by-step explanation:

Hope this helps.

What is the acceleration of a BMW i8 Roadster that goes from 0 to 60 mph in 3.8 seconds? a) in mi/h/s and b) in m/s^2

Answers

Answer:

I need help with my math problem  

Step-by-step explanation:

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Joe is buying gift cards that are on sale for 15% off. He uses c – 0.15c to determine the sale price of gift cards. What is an equivalent expression that Joe could also use to determine the sale price of a gift card?

Answers

Answer:

0.85c

Step-by-step explanation:

Given :

Discount on sale = 15%

Price of gift card at discounted price = c - 0.15c

Equivalent expression could be :

(100% - 15%) * price

Price = c

(1 - 0.15)c

0.85c

Factor out the greatest common factor for 18x2 + 42x – 12.

Answers

Answer:

Step-by-step explanation:

factor the coefficients into primes

18 = 3 * 3 * 2

42 = 3* 2 * 7

- 12 = - 2 * 2 * 3

The primes that are underlined are 2 * 3 which is 6

The primes not in the brackets are what is inside the brackets.

6(3x^2 + 7x - 2)

7/0
What is the definition of "median"?
the number that
appears the
most in a set of
data
the number in
the middle of a
set of data
the average of a
set of data
the difference
between the
greatest and
smallest value in
a set of data
Music off
Zone

Answers

The number in the middle
The number in the middle

help please?? thsnks

Answers

Step-by-step explanation:

step 1. the difference between x -> x' was 7

step 2. the difference between y -> y' was -2

step 3. the translation was 7 right and -2 down

step 4. the translation can be written (x + 7, y - 2)

step 5. the pre image was located in quadrant II.

Please help!! Use the discriminate to determine the number of solutions and types of solutions for the quadratic equation.

Discriminant=__

Number of solutions for the quadratic equation=___

a^2+3a=7

Answers

Answer:

two unequal, complex roots

Step-by-step explanation:

Rewrite this quadratic as a^2 + 3a - 7 = 0.  The coefficients are {1, 3, -7}.  The discriminant is b^2 - 4ac = 3^2 - 4(1)(-7), or 9 - 28, or -19.

Because the discriminant is negative, we know immediately that this quadratic has two unequal, complex roots.

Work out the perimeter of a semicircle with radius 3 cm.
Give your answer in terms of tt.
3 cm

Answers

Answer:

3π+ 6 = 15.42477796

Step-by-step explanation:

diameter = 6

πd = circumference

6x π = 6π

3π = semi circle

3π+ 6 = 15.42477796

Can someone please help me with this one

Answers











Hey sorry I need points

Nancy's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 54 regular sodas and 6 diet sodas. What percentage of the sodas served were regular?

Answers

54 + 6 = 60

54/60 * 100

THE ANSWER IS 90%

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (2, 720)(2,720).

Answers

Answer:

The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].

Step-by-step explanation:

Let be an exponential function of the form [tex]y = a\cdot b^{x}[/tex] that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex]. Then, we have the following system of equations:

[tex]20 = a\cdot b^{0}[/tex] (1)

[tex]720 = a\cdot b^{2}[/tex] (2)

By dividing (2) by (1), we obtain the value for [tex]b[/tex]:

[tex]\frac{720}{20} = b^{2}[/tex]

[tex]b = \sqrt{\frac{720}{20} }[/tex]

[tex]b = 6[/tex]

And the value for [tex]a[/tex] is found by (1):

[tex]a = 20[/tex]

The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].

PLZ HELP MEEEEE answer the chart first then the second question THANKYOU DEARLYY

Answers

Answer:

6 9 4  7

Step-by-step explanation:

i teach math

Ron made 3 pitchers of lemonade to sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.

He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.

How much money did Ron make selling lemonade after paying out the cost of making the lemonade?

$ ___​

Answers

Answer:

$3.90

The cost of making them all is 1.50 subtracted from the profit he made

Which equation has the greatest rate of change?
A.
y=2x+5
B.
y=x+6
C.
y= -5x+2
D.
y=2/3x+4

Answers

c i’m pretty sure because -5 is the biggest

find area of triangle ​

Answers

6x19x1/2= 3x19 = 57 is the answer
The Area of the triangle is 57 cm^2

Le cross du college s'effectue sur le parcours schématisé
ci-contre en partant du point A et en suivant le sens des
leonas. Les eleves de quatrieme doivent parcourir 1.5 km.
On doit-on placer la ligne d'arrivée sur le circuit?​

( measure : from A to B is 69 m
from B to C is 72m
from D to A is 36m )

Answers

Answer is in the photo. Click on the photo.

Plot and label the point on the coordinate grid. E(5, 2)

Answers

Step-by-step explanation:

The answer is put x=2

Y=2

What is the remainder if f(x) = x^4- 5x2 - 6x - 10 is divided by x - 3?
A. 8
B. 44
C. -46
D. 224

Answers

Answer:

A) 8

Step-by-step explanation:

The remainder when f(x) = x⁴ + 0x³ - 5x² - 6x - 10 is divided by x - 3 is 18.

What is factor theorem?

Factor theorem states that if x - a is a factor of f(x) then f(a) = 0.If f(a) 0 then x - a is not a factor of f(x).

To determine the remainder of f(x) = x⁴ + 0x³ - 5x² - 6x - 10 when divided by x - 3 which is x - 3 = 0 or x = 3 we have to replace the value of x in f(x).

∴ f(x) = x⁴ + 0x³ - 5x² - 6x - 10.

f(3) =  (3)⁴ + 0(3)³ - 5(3)² - 6(3) - 10.

f(3) = 81 + 0 - 45 - 18.

f(3) = 18.

So, the remainder is 18.

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I need help solving for X and Y

Answers

Answer:

y = 4 ; x = 4√2

Step-by-step explanation:

This is a 45° 45° 90° triangle meaning the legs will equal each other and the hypotenuse will be equal to the length of the legs times √2.

There are 90 girls and 60 boys in the sixth grade at a middle school of the students 9 girls and three boys write left-handed what percent of the 6th graders at this Middle School right left handed

Answers

8538% of the 6th graders in the school are

answer this algebra question x/12 - 5 = 7

Answers

Answer: x=144

Explanation:
7+5= 12
12*12=144

Answer:

x=144

Step-by-step explanation:

x/12-5=7

x-60=84

x=84+60

x=144

In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?
Enter your answer as a number, like this: 42

Answers

════════ ∘◦❁◦∘ ════════

Answer = -7

════════════════════

Known

a = 13

U2 = 6

U3 = -1

U4 = -8

════════════════════

Question

d = ..?

════════════════════

Way to do

#since it gives a lot of number, i will just pick one of the nth term, ill choose U2

Un = a + (n-1)d

U2 = 13 + (2-1)d

6 = 13 + d

6 - 13 = d

d = -7

════════════════════

Note

• The formula of arithmetic sequence

Un = a + (n-1)d

n = nth term

a = first term

d = common difference

════════════════════


Find the length of the missing side (nearest tenth).
15 yd
26 yd

Answers

Answer:

21.23 yard

Step-by-step explanation:

we need to do pyathagoras theoram.

Please Help This is due at midnight please and thank you

Answers

Answer:

Measure of angle s:

Sum all angles of triangle is = 180 degrees

So,

31 + 58 + x = 180

x = 180 - 31 - 58

x  = 91

Measure of angle s: 91 degrees

ST = 17.005

RT = 33.012

Hope this helps you. Do mark me as brainlist.

what’s the answer for this please? Thankssss!! Only if you know

Answers

Answer:

I Dont know the answer Sorryyyyyyyyyy

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