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Ugo [173]
2 years ago
8

What is the domain of the function y = StartRoot x + 6 EndRoot minus 7? x greater-than-or-equal-to negative 7 x greater-than-or-

equal-to negative 6 x greater-than-or-equal-to 6 x greater-than-or-equal-to 7
Mathematics
2 answers:
kari74 [83]2 years ago
6 0

Answer: Option B

x>-6

Step-by-step explanation:

its the answer on edge

VARVARA [1.3K]2 years ago
3 0

Answer:

Domain= {x\geq -6}

Step-by-step explanation:

The function given is: f(x)=\sqrt{x+6} -7, and we are asked to find the Domain of it. Let's recall that the Domain of a function is the set of all x-values for which the function is defined (can be evaluated rendering a real number as result). So in order to find which x-values constitute such Domain, let's investigate for which x-values we can effectively evaluate the square root of "x+6".

Notice that the square root is not defined for radicands that are negative (less than zero). The only radicands that are allowed are those greater than or equal to zero. So that is exactly the condition we want to impose on the radicand: to be greater than or equal to zero (\geq 0). Our radicand is the expression: "x+6", so we write in math terms the necessary condition as:

x+6\geq 0

and solve for "x" in the inequality (isolating "x" on one side:

x+6\geq 0\\x\geq -6

The Domain of this function is therefore all those real "x" values that are greater than or equal to negative 6 (x\geq -6)

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Write these fractions in least common denominator2/5x+15y 1/2x+6y
Over [174]
Look at deonomators

assuming that the deonomenators are 5x+15y and 2x+6y

find their LCM
factor

5x+15y=5(x+3y)

2x+6y=2(x+3y)

LCM=10(x+3y)=10x+30y

multiply 2/(5x+15y) by 2/2=4/(10x+30y)
multiply 1/(2x+6y) by 5/5=5/(10x+30y)

if we add them
9/(10x+30y)
3 0
3 years ago
LMN≅PQR
tresset_1 [31]
<span>LMN≅PQR means that point L is equal to P, point M is equal to Q, and point N is equal to R. All lines are the same.

Point Q has an angle of 72, which means that point M also has an angle of 72.

Now you have two angles to find x. All interior angles of a triangle add up to 180, so you can set up the following equation to find x:

72 + 36 + x = 180

Subtract 36 from both sides.

72 + x = 144

Subtract 72 from both sides.

x = 72

The angle of point L, x, is 72.


</span>
7 0
3 years ago
Read 2 more answers
1. Calculate the area of the circle having the following radius (r) or diameter (d) (π= 3.14) (a) Radius (r) = 3 cm (b) Diameter
Marat540 [252]

The area of circle having radius 3cm is 28.27 cm², diameter 5cm is 19.63 cm², radius 8 ft is 201.06 ft², diameter is 113.1 cm², diameter 20 km is 314.16 km², diameter 15 mm is 176.71 mm² and radius 16 yd is 804.25 yd².

Given the radius and diamtere are (a) Radius (r) = 3 cm (b) Diameter (d) = 5 cm (c) Radius (r) = 8 ft. (d) Diameter (d) = 12 cm (f) Diameter (d) = 20 km (g) Diameter (d) = 15 mm (i) Radius (r) = 16 yd​.

We will calculate the area of circle by using the formula A=πr² or π(d/2)².

(a) Radius (r)=3cm

The area of circle is

Area=π(3)²

Area =9π

Here, π=3.14, we get

Area =9×3.14

Area=28.27cm²

(b) Diameter (d)=5cm

The area of circle is

Area=π(5/2)²

Area =π(2.5)²

Area=6.25π

Here, π=3.14, we get

Area =6.25×3.14

Area=19.63cm²

(c) Radius (r)=8 ft

The area of circle is

Area=π(8)²

Area =64π

Here, π=3.14, we get

Area =64×3.14

Area=201.06ft²

(d) Diameter (d)=12cm

The area of circle is

Area=π(12/2)²

Area =36π

Here, π=3.14, we get

Area =36×3.14

Area=113.1cm²

(e) Diameter (d)=20km

The area of circle is

Area=π(20/2)²

Area =100π

Here, π=3.14, we get

Area =100×3.14

Area=314.16km²

(f) Diameter (d)=15mm

The area of circle is

Area=π(15/2)²

Area =56.25π

Here, π=3.14, we get

Area =56.25×3.14

Area=176.71mm²

(g) Radius (r)=16yd

The area of circle is

Area=π(16)²

Area =256π

Here, π=3.14, we get

Area =256×3.14

Area=804.25yd²

Hence, the area of circle having radius and diameter is  radius 3cm is 28.27 cm², diameter 5cm is 19.63 cm², radius 8 ft is 201.06 ft², diameter is 113.1 cm², diameter 20 km is 314.16 km², diameter 15 mm is 176.71 mm² and radius 16 yd is 804.25 yd².

Learn more about the area of circle from here brainly.com/question/17096708

#SPJ9

3 0
1 year ago
Identify the coefficient of x.<br> Equation
alisha [4.7K]

Answer:

A coefficient is a number in front of a variable. For example, in the expression x 2-10x+25, the coefficient of the x 2 is 1 and the coefficient of the x is -10. The third term, 25, is called a constant.

Step-by-step explanation:

5 0
2 years ago
A truck is carrying grapefruit juice, pineapple juice, and tomato juice bottles in a ratio of 3 : 1 : 2. If there are 14 pineapp
LiRa [457]

Answer:

84 juice bottles

Step-by-step explanation:

Given the ratio of grapefruit juice, pineapple juice, and tomato juice bottles as

3:1:2

Let the total number of bottles available be R

If there are 14 pineapple juice bottles, then

1/(3 + 1 + 2) * R = 14

1/6 * R = 14

multiply both sides by 6

R = 14 * 6

= 84

This means there are 84 bottles in all

6 0
3 years ago
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