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d1i1m1o1n [39]
3 years ago
14

1.Suppose f(x)=6x^2+2x-7 and g(x)=4x-3.Find Each Of The Following Function.

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

(1)

(f+g)(x) = 6x^2+2x-7+4x-3=6x^2+6x-10

(f-g)(x)=6x^2+2x-7-4x+3 = 6x^2-2x-4

(2)

(f+g)(x)=2x-3x+1-2x=-3x+1

(f-g)(x)=2x-3x-1+2x=x-1

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Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether th
Varvara68 [4.7K]

QUESTION A

The given points are

(x_1,y_1)=(8,3) and (x_2,y_2)=(9,8)

The slope can be found using the formula;

m=\frac{y_2-y_1}{x_2-x_1}

We substitute the point to obtain;

m=\frac{8-3}{9-8}

This simplifies to

m=\frac{5}{1} =5

Therefore the slope is 5.

QUESTION 2

A positive slope indicates a rising line

A negative slope indicates a rising line

A zero slope means the line is horizontal.

An undefined slope means the line is vertical.

The correct answer is

A. The line rises from left to right.

3 0
2 years ago
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What is the mean absolute deviation of 10 16 18 15 15 10 23
grigory [225]
The answer is 3.1428 (very close to π actually lol)



4 0
3 years ago
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Fine the IRQ of the data set. 11,13,9,4,6,5,8,10
arlik [135]

Answer:

   5

Explanation:

Data Set : {11, 13, 9, 4, 6, 5, 8, 10}

Arrange ascendingly: {4, 5, 6, 8, 9, 10, 11, 13}

Quartiles:

  • Q1 --> 5.5
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Interquartile Range: Q3 - Q1 = 10.5 - 5.5 = 5

8 0
2 years ago
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What is the verbal for x/2
tatiyna
X ( a number) / (divided by) 2 (two)

A number divided by 2.
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5 0
3 years ago
Given circle E with diameter CD and radius EA. AB is tangent to Eat A.
Tatiana [17]

The triangle ACD is the right angle since it is a triangle in a semicircle. The length of AC from the diagram is 21.9feet

<h3>Application of pythagoras theorem</h3>

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

From the given circle, the triangle ACD is right angle since it is a triangle in a semicircle

Given the following

Hypotenuse = 26 feet = CD
Base side = AD = 14ft

Required

Length AC

Use the theorem

26^2 = 14^2 + AC^2

AC^2 =  676 - 196
AC^2 = 480
AC = 21.9feet

Hence the length of AC  is 21.9feet

Learn more on pythagoras theorem here: brainly.com/question/343682

7 0
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