Perform the indicated operation.

Answer:

b

Step-by-step explanation:

Answer:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Checking option A:

(2, 4), (0, 2), (2, -4), (5,3)

Here, the input x = 2 is repeated twice.

Thus, option A does not represent the function as the input x = 2 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option B:

(1,6), (2,7),(4,9), (0,5)

It is clear that no input value is repeated. In other words, each input or x-value of the X set has a unique y-value or output of the Y set.

Thus, the option B represents the function.

Checking option C:

(0, 2), (2, 3), (0, -2), (4,1)

Here, the input x = 0 is repeated twice.

Thus, option C does not represent the function as the input x = 0 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option D:

(1, 2), (1, -2), (3, 2), (3, 4)

Here, the input x = 1 is repeated twice, and also x = 3 is repeated twice,

Thus, option D does not represent the function as we can not have duplicated inputs as there should be only 1 output for each input.

Conclusion:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

Answer:

y - 7 = 1 (x-5)

Step-by-step explanation:

The point slope equation of a line is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the following

m = 1

(x0, y0) = (5, 7)

Substitute into the formula

y - 7 = 1 (x - 5)

y - 7 = x -5

y = x - 5 + 7

y = x + 2

Hence the point slope equation of the line is y - 7 = 1 (x-5)

Answer:

1 1/4 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

Initial volume of juice = 48 ounces each

Mark

Steven

Total remaining juice: 12 + 16 = 28 ounces

Correct choices: A, C and D

Answer:

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

Step-by-step explanation:

Given

See attachment

To answer this question, we start by equating the denominators of each option to 0; then, solve for x

(a):

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

This gives

[tex]\frac{7x}{x^2 - 10x + 21} * \frac{7}{x + 7}[/tex]

Set the denominator to 0

[tex](x^2 - 10x + 21)(x + 7) = 0[/tex]

Solve for x

[tex](x^2 - 7x - 3x + 21)(x + 7) = 0[/tex]

Factorize:

[tex](x(x - 7) - 3(x - 7))(x + 7) = 0[/tex]

[tex](x - 7)(x - 3)(x + 7) = 0[/tex]

This implies that:

[tex]x = 7\ or\ x = 3\ or\ x = -7[/tex]

From above, one of the values of x is 7.

This implies that x = 7 is an excluded value for this quotient.

Other options do not need to be checked, since there is only one answer.

Answer:

A

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

756 m²

Step-by-step explanation:

I just know the answer XD

Answer: 42

Step-by-step explanation: 15 -8=7 90/15=6 6*7=42

Answer:

45 degrees

Step-by-step explanation:

All 3 angles have to add up to 180, so you have:

[tex]x + 32 + 103 =180[/tex]

[tex]x + 135 = 180[/tex]

subtract 135 from both sides

[tex]x = 45[/tex]

Answer:

0.32

Step-by-step explanation:

just divide

Answer:

$6

Step-by-step explanation:

25%= 1/4

8 divided by 4 =2

$2 is what is taken off

$8-$2 which is $6

Answer:

$26280

Step-by-step explanation:

Cuz i said so

Step-by-step explanation:

the correct answer is C because the measurementor an angle cannot be under 72 :)

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

A salt solution contains 10% salt and weights 80g.

Salt content of the solution is:

4% solution has 8 g salt, total solution is:

Water to be added:

Answer:

Assuming that the notation there is meant as:

[tex](3c)^{-2}[/tex]

then the answer would be 1/(9c²)

If the -2 is indeed just subtraction and not an exponent, then it is simply 3c - 2

The expression equivalent to 1/9c².

An expression is a set of terms combined using the operations +, – , x or for example 4 x − 3 or x 2 – x y + 17 .

An equation states that two expressions are equal in value,

for example 4 b − 2 = 6 .

Given:

[tex](3c)^{-2}[/tex]

To make the power positive, just do the reciprocal

=1/ (3c)²

=1/9c²

Hence, the expression

[tex](3c)^{-2}[/tex] is equivalent to 1/9c².

Learn more about expression here:

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no

it does not

6.3 is 6.30

6.33 is not equal to 6.30

so the answer is No

Answer:

c

Step-by-step explanation:

Answer:

2.04081632653

Step-by-step explanation:

If you wanted to round it, it would be 2 because the 4 isn't enough to bump it up. Hope this helped you!

Answer:

2.04

Step-by-step explanation:

Answer:

I have no clue what this is but ok

Answer:

Step-by-step explanation:

Left figure:

area of rectangle = 4×6 = 24 cm²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×6×4  = 12 cm²

area of shape = 24+12 = 36 cm²

Right figure:

area of rectangle = 6×8 = 48 m²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×8×(8-6) = 8 m²

area of shape = 48+8 = 56 m²

Answer:

Radius = 1.78 inches

Diameter = 3.56 inches

Circumference = 11.18 inches

Step-by-step explanation:

Area of circle = 10 inches square

[tex]\pi r^2 = 10\\r^2 = \frac{10}{3.14}\\r^2 = 3.18\\\sqrt{r^2}=\sqrt{3.18}\\r=1.78[/tex]

Radius = 1.78 inches

Diameter = 2r = 2(1.78) = 3.56 inches

Circumference = 2πr = 2*3.14*1.78 = 11.18 inches

Answer:

Step-by-step explanation:

Sum of two sides must be longer than the third.

Answer:

1)increase

2)50%

Explanation:

Use the formula↓

(y2 - y1) / y1)*100

(150 - 100) / 100) * 100 = 50 %

y1= first value

y2= second value

Answer:

Step-by-step explanation:

Answer:

7.65

Step-by-step explanation:

Add 1.8 to 5.85 to find initial height

7.65 just add the 2 I answered first btw! Give brainliest pls since im first.

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

−

32

;

............... (2)

W

=

(

x

−

1

)

;

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

−

l

0

)

(

x

+

8

)

(

x

−

1

)

,

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

−

8

)

x

−

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

7

l

0

−

8

=

20

;

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)

Answer:

75.47

Step-by-step explanation:

Hey there !!!!!

to, see how much did the man travel in total. you just add all of the distances that the man traveled.

he traveled:

13.2  by tairn

45.07 by bicycle

17.2 by car

if you add all of them up :

45.07 + 13.2 = 58.27

58.27 + 17.2 = 75.47

have a wonderful day

Answer:

75.47

Step-by-step explanation:

because the sum of 13.2,45.07 and 17.2 is 75.47

Answer:

20 sec

Step-by-step explanation:

2.4 in = 144 sec

124

144 - 124 = 20

Answer:

8/9

Step-by-step explanation:

Find the HCF of 64 , 72

64  = 2 * 2 * 2 * 2 * 2 *2 = 2^6

72 = 2 * 2 * 2 * 3 * 3

HCF = 2*2*2 = 8

64 : 72 = [tex]\frac{64}{72}[/tex]

            = 64 ÷ 8

               72 ÷ 8

           [tex]=\frac{8}{9}[/tex]

9 directly precede 2, 4 times, in the sequence, 12909296292629.

An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).

In the given sequence,

12909296292629,

there are 4 such 9's that are preceded by 2 immediately.

That means, for the clear representation,

1-29-09-29-6-29-26-29

Therefore, there are 4 such 9's that are preceded by 2.

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