The Wilsons have triplets and another child who is fourteen years old. The sum of the ages of their children is 32. How old are the triplets?

Answers

Answer 1

Answer: 32 minus 14 then divide that by 3 so they are all 6

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7(2x+6)-4(9x+6)<-26 what is the answer ?

Answers

7(2x+6)-4(9x+6)<-26
14x+42-36x-24<-26
-22x + 42-24 <-26
-22x +18 < -26
-22x < -44
x < 2

$7(2x+6)-4(9x+6)\ \textless \ -26 \n 14x+42-36x-24\ \textless \ -26 \n -22x+18\ \textless \ -26 \n -22x\ \textless \ -26-18 \n -22x\ \textless \ -44 \n -x\ \textless \ (-44)/(22) =-2 \n x\ \textgreater \ 2$

Evaluate the expression when x=10, y=−2, and z=−5. −x2+6z/y=

Answers

- (10)2 + 6(-5)/(-2)

- 20 + -30/-2

- 20 + 16

4 ( I think)

Final answer:

The value of the expression −x2+6z/y when x=10, y=−2, and z=−5 is -85.

Explanation:

To evaluate the expression when x=10, y=−2, and z=−5, we substitute these values into the expression:

−x2+6z/y

−(10)2+6(-5)/(-2)

−100+(-30)/(-2)

−100+15

= -85

Therefore, when x=10, y=−2, and z=−5, the value of the expression −x2+6z/y is -85.

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Find the volume of the attached figure...Help please!!! I'll give brainliest if you explain your answer!!!

Answers

Answer:

82.5 cubic inches

Step-by-step explanation:

Given pentagonal prism.

The base is a regular pentagon with side of 4 in and the distance from the center to side 2.75 in.

By connecting the center to each vertex we get 5 equal triangles with side of 4 in and height of 2.75 in.

Find the base area:

B = 5*1/2*4*2.75 = 27.5

Find the volume:

V = Bh
V = 27.5*3 = 82.5

The volume is 82.5 cubic inches

First find the area of the pentagon. The equation for this is Area = pa/2, with p being the perimeter and a being the apothem (2.75in). The perimeter is 4*5, since there are five sides and one of them is four inches. This means the perimeter is 20 inches. Back to the equation, 20*2.75 = 55. 55/2 = 27.5in^2.

Next, multiply by the height. This shape’s height is 3 inches. 27.5*3 = 82.5.

The volume is 82.5 in^3

Sara wants to find the input value that produces the same output for the functions represented by the tables.What is the input value that produces the same output value in both charts?

A. –2
B. –1
C. 1
D. 2

Answers

The input value that produces the same output value in both charts is 2.Option D is the correct answer.

What are functions ?

A mathematical expression which has two variables , one is dependent variable and the other is an independent variable.

Functions have wide usage and comes with a defined domain and range.

It is given in the question that there are two functions

Function(x) = -0.5x+2

g(x) = 2x-3

It has different values at different points.

The value at which both the functions have same value has to be determined.

To determine that lets equate both the functions

-0.5x +2 = 2x-3

2.5x = 5

x = 2

Therefore the input value that produces the same output value in both charts is 2, Option D is the correct answer.

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Answer:

Hence, the input value that produces the same output for the functions represented by the tables is:

x=2

Step-by-step explanation:

We are given a function f(x) and g(x) as:

and

Clearly the function g(x) and f(x) are linear function.

We have to find such input value that gives the same output value for the function.

i.e. we have to find x such that:

g(x)=f(x)

i.e. -0.5x+2=2x-3

⇒ 2x+0.5x=2+3

⇒ 2.5x=5

⇒ x=5/2.5

⇒ x=2

Hence, the input value that produces the same output for the functions represented by the tables is:

x=2

1/2 x n = 1/3 what does n =

Answers

you do 1/3 / 1/2
You do Keep, Change, Flip
so...
1/3 /1/2= 1/2*3/1= 3/2 and that is 1 1/2
n=1 1/2

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

Answers

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

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

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