The sum of the first and third of three consecutive even integers is 154. Find the three even integers.

Answers

Answer 1
Answer: x + (x+2) = 154
combine like terms
2x + 2 = 154
subtract 2
2x = 154
divide by 2
x = 76

so the two numbers are 76 and 78

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The volume of a prism is 230 mm3. Which statements are true about the same prism measured in cubic centimeters?Choose all answers that are correct.A.The number representing the volume would decrease.B.The number representing the volume would increase.C.The actual volume would decrease.D.The actual volume would increase.E.The actual volume would stay the same.
#110 points1. Which equation has a solution of 4 for n?A. -3n = 12B. 7 - n = 11C. n - 6 = -2D. 2.5n =
A basketball player makes 75% of her free throws. If she made 84 free throws this season, how many has she attempted?
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What is 21x^6y^5 divided by 14x^y^9 will make brainliest lot of points on the line too

How can I make this a perfect square
w^2-4w+

Answers

ax^2+bx+c
if a=1, then
take 1/2 of b and square it

w^2-4w+c
b=-4
-4/2=-2, (-2)^2=4
add that
w^2-4w+4
(w-2)(w-2)
(w-2)^2

to make it into perfect squres, add 4

Consider circle H with a 3 centimeter radius. If the length of minor arc RS is 5/2π, what is the measure of ∠RST? Assume that chords RS and TS are congruent.

Answers

Given:
Radius = 3 cm
length of minor arc = 5/2π

length of the minor arc = 2 π r (x/360°)
5/2π = 2 π r (x/360°)
5/2 * 3.14 = 2 * 3.14 * 3 (x/360°)
5/6.28 = 18.84 (x/360°)
6.28(5/6.28) = 6.28(18.84)(x/360°)
5 * 360° = 118.32x
1800 / 118.32 = x
15.21 = x 

Find the distance between points P(1, 2) and Q(4, 8) to the nearest tenth. 11.2 5 6.7 9

Answers

distance = sqrt (x2 - x1)^2 + (y2 - y1)^2
(1,2)...x1 and y1
(4,8)...x2 and y2
now we sub
distance = sqrt (4 - 1)^2 + (8 - 2)^2
distance = sqrt (3^2 + 6^2)
distance = sqrt (9 + 36)
distance = sqrt (45)
distance = 6.7 <===
PQ=√(x2-x1)²+(y2-y1)²
     =√(4-1)²+(8-2)²
     =√(3)²+(6)²
     =√9+36
     =√45
     =3√5
     =3*2.236
     =6.708
     =6.79.

Choose the correct sum of the polynomials (3x3 − 5x − 8) + (5x3 + 7x + 3).8x3 + 2x + 5
2x3 − 12x − 11
2x3 + 12x − 5
8x3 + 2x − 5

Answers

The sum of the polynomials are  8x^(3)+2x-5

Summation of Polynomials:

To find the sum of polynomials we have to add like terms.

Like terms are those terms which have same variable with same exponent power.

Given polynomials are,

                     (3x^(3)-5x-8 )+(5x^(3)+7x+3 )\n\n=3x^(3)+5x^(3)-5x+7x-8+3\n \n =8x^(3)+2x-5

Learn more about the polynomials here:

brainly.com/question/2833285

Answer:

Sum of the polynomials is 8x^3+2x-5

D is the correct option.

Step-by-step explanation:

The given polynomial is (3x^3-5x-8)+(5x^3+7x+3)

Distribute plus over the parenthesis

3x^3-5x-8+5x^3+7x+3

Group the like terms.

3x^3+5x^3-5x+7x-8+3

Combine the like terms

8x^3+2x-5

Hence, the sum of the polynomials is 8x^3+2x-5

D is the correct option.

How are the graphs of the functions y=2(2)^x and y=2(1.1)^x similar?

Answers

if the are equal then they can be similar, otherwise they are not.
Y=2(2)^x ----> y=(4)^x

Y=2(1•1)^x--> y=(2•2)^x----> y=(4)^x

An arithmetic sequence is given below.-4, -10, -16, -22, ...
write an explicit formula for the Nth term aN.

Answers

Answer:

an​=−6n+2

Step-by-step explanation:

First, you need to identify the first term and the common difference of the sequence. The first term is the value of the first element, which is -4. The common difference is the amount that is added or subtracted to each term to get the next one, which is -6 in this case. You can find it by subtracting any two consecutive terms, such as -10 - (-4) = -6 or -16 - (-10) = -6.

Next, you need to use the standard explicit formula for an arithmetic sequence, which is:

an​=a1​+d(n−1)

where an​ is the Nth term, a1​ is the first term, d is the common difference, and n is any term number.

Finally, you need to substitute the values of a1​ and d that you found in the first step into the formula. This gives:

an​=−4+(−6)(n−1)

This is the explicit formula for the Nth term aN of the given arithmetic sequence. You can simplify it further by expanding and combining like terms:

an​=−4−6n+6

an​=−6n+2