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3 years ago

Solve 1/3x^2 + 11x - 75 < 105

1 answer:

6 0

⅓x² +11x-75<105
⅓x² +11x-75-105<0
⅓x² +11x -180<0
x² +33x - 540<0
(x+45)(x-12)<0
(x-12)<0 or (x+45)>0
x<12 or x >-45
answer is A

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What is the slope of the shown picture?

elena55 [62]

Answer:

B. 2 is your answer

Step-by-step explanation:

You will use the slope formula to find the slope of the equation.

(3, 7) and (-2, -3) will be used.

7 and -3 are your y's. 3 and -2 are your x's.

(7 - (-3))/(3 - (-2)) = 10/5 = 2

B. 2 is your answer

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3 years ago

Read 2 more answers

The surface area of a cone is 43.75 cm2 what is the slant height of the cone ? The base diameter is 5

kramer

The first step in finding the surface area of a cone is to measure the radius of the circle part of the cone. The next step is to find the area of the circle, or base. The area of a circle is 3.14 times the radius squared (πr2). Now, you will need to find the area of the cone itself. In order to do this, you must measure the side (slant height) of the cone. Make sure you use the same form of measurement as the radius.

You can now use the measurement of the side to find the area of the cone. The formula for the area of a cone is 3.14 times the radius times the side (πrl).

So the surface area of the cone equals the area of the circle plus the area of the cone and the final formula is given by:

SA = πr2 + πrl

5 0

3 years ago

What is a31 of the arithmetic sequence for which a5 = 12.4 and ag = : 22.4?

MrMuchimi

The value of a₃₁ of the arithmetic sequence exists 77.4.

<h3>How to find the value of a₃₁ of the arithmetic sequence?</h3>

Given: a₅ = 12.4 and a₉ = : 22.4

For the arithmetic sequence a₁, a₂, a₃, ..., the n-th term exists

where d = common difference

a₅ = 12.4,

a₁ + 4d = 12.4 .........(1)

Because a₉ = 22.4,

a₁ + 8d = 22.4 .........(2)

Subtract (1) from (2), we get

a₁ + 8d - (a₁ + 4d) = 22.4 - 12.4

4d = 10

Dividing throughout by 4, we get

d = 2.5

From (1), we get

a₁ = 12.4 - 4 $*$ 2.5 = 2.4

a₃₁ = 2.4 + 30 $*$ 2.5 = 77.4

Therefore, the correct answer is a₃₁ = 77.4

To learn more about the arithmetic sequence refer to; brainly.com/question/6561461

#SPJ9

8 0

1 year ago

BC must be with length for this quadrilateral to be a parallelogram?

Pavlova-9 [17]

You need to provide a homie wit some more details lol

5 0

3 years ago

Your computer supply store sells two types of inkjet printers. The first, type A, costs $269 and you make a $24 profit on each o

just olya [345]

This is the concept of applications of linear equations; suppose you need x number of type A and y number of type be to make the profits required;
Total number of printers will be:
x+y=120....i
Total amount made will be:
24x+18y=2340....ii
thus solving equations i and ii by substitution we shall have:
x+y=120
x=120-y
thus substituting the above in equation ii we get:
24(120-y)+18y=2340
2880-24y+18y=2340
putting like terms together we get
-24y+18y=2340-2880
540=6y
thus
y=540/2
y=90
hence;
x=120-90=30
Therefore to make the profit of $2340 you must sale 90 type A printers and 30 type B printers

6 0

3 years ago