What is the sum of the first five terms in the series 7+12+17+..?

Answers

Answer 1

Answer: 7 + 12 + 17 + 22 + 27 = ( 7 + 27 ) + ( 12 + 22 ) + ( 34 / 2 ) = ( 34 / 1 ) + ( 34 / 1 ) + ( 34 / 2 ) = ( 68 / 2 ) + ( 68 / 2 ) + ( 34 / 2 ) = 170 / 2 = 85 .

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If x and y are negative integers and x – y = 1,
what is the least possible value for xy?

Answers

x=y+1
Least possible value for y(y+1)? Well, it appears for y halfway between the roots (you know what a parabola is, don't you?). That y is -0.5, so let's calculate -0.5*0.5, which is -0.25.
The least possible value is $-\frac{1}4$
Well, not really :)) The two values must be both negative, so we can't take one of them to be 0.5! As we lower the values, however, the product grows, reaching 0 when x=0 and y=-1, and further increasing as x and y lower. Thus, we would actually take x=0 and y=-1.

5. A real estate company purchased a vast area of lakefront property. The company plans to divide the area intoseveral lots so that customers can purchase a lot and build a home. The length of each lot is represented by the
function below, where w represents the width of each lot. The minimum length of a lot will be 51 feet, and the
maximum length of a lot will be 204 feet.
L(W)=3W-15
WHAT IS THE DOMAIN OF L(W)

Answers

51+15<=3w-15+15<=204+15 66<=3w<=219 66/3<=3w/w<=219/3 the answer22<=w<=73 all real number between and including 22 and 73

Your baseball team is selling bags of popcorn to raise money for a trip. For each bag of popcorn you sell, $4 goes towards your trip. You hope to earn at least $140 for the trip. Write and solve an inequality that represents the numbers x of bags of popcorn you must sell to reach your goal.

Answers

The inequality function and the value of x is $4x > $140, and x = 35.

Given that,

The price should goes up by $4.
And, the minimum earnings should be $140.
Here we assume the number of popcorn bags be x.

Based on the above information, the inequality function is as follows:

$4x > $140

Now Divide it by both sides with 4

So,

x= 35

Therefore we can conclude that the inequality function and the value of x is $4x > $140, and x = 35.

Learn more: brainly.com/question/15137133

To write the inequality...$4 per bag multiplied by the number of bags must be greater than or equal to $140.

$4x > $140
Divide both sides by 4
x=35

Factor 7a^3+28a^2-35a

Answers

$7a^3+28a^2-35a=7a(a^2+4a-5)=(*)\n \n-------------------------------\n \na^2+4a-5-a^2-a+5a-5=a(a-1)+5(a-1)=(a-1)(a+5)\n \n-------------------------------\n \n(*)=7a(a-1)(a+5)$

$7a^3+28a^2-35a =\n \n=7a(a^2+4a+a-a-5) =\n \n= 7a(a^2+5a -a-5)=\n \n=7a[(a(a+5)-(a+5))]=\n \n=7a(a+5)(a-1)$

The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new function?A.(x – 11)2 + 58
B.(x + 22)2 – 121
C.(x + 7)2 – 47
D.(x – 15)2 + 94

Answers

The right answer for the question that is being asked and shown above is that: "D.(x – 15)2 + 94." The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. the vertex form of the new function is that D.(x – 15)2 + 94

The answer is C i just did it on e2020 :)

Is (2,4) a solution of 3x - y = 2?

Answers

yes because when filling in the unknown (3*2-4=2) gets you the answer of 2.

Answer: Yes, it is a solution.

Step-by-step explanation:

3(2)=6-4=2

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Find the nth term of this sequence: -1, 3, 7, 11, 15

Circle R has a radius of 6, and is tangent to circle R at point Q. Also, QP = 8. (a) What is the measure of angle RQP Explain your answer. b) What is the length of RP Explain your answer. (c) What is the length of RS Explain your answer. (d) What is the length of RP Explain your answer.

What is the answer to -16-90