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3 years ago

Use a negative factor to factor the expression −5 + 15ℎ − 25 Can someone please help

Mathematics

1 answer:

MAXImum [283]3 years ago

7 0

Answer:

$-15(-h+2)$

Step-by-step explanation:

First, we combine the like terms -5 and -25 to form -30.

$15h-30$

Next, since 15h and -30 have a factor of -15 in common, we factor it out.

$\frac{-15h}{-15}-\frac{-30}{-15}=-15(-h+2)$

Since you said to use a negative factor, I used -15.

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Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:

mars1129 [50]

Answer:

A = (x + 15)(x + 10) − 5

Step-by-step explanation:

(x+15)(x+10)-5=A would be a solution

To make this easier, let's assign x a value. Let's say 3.

(3+15)(3+10)-5=A

(18)(13)-5=A

234-5=A

A=229

Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.

A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 Answer A is wrong.

B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 Answer B is wrong.

C. A=(3+26)(3+15)=(29)(18)=522 Answer C is wrong.

D. A=(3+14)(3+8)=(17)(11)=187 Answer D is wrong.

It's either I'm wrong or the answer choices are wrong.

New answer choices!

A. A=(3+20)(3+11)

=(23)(14)=322 Answer A is wrong.

B. A=(3+15)(3+10)+5

=(18)(13)+5=234+5=239 Answer B is wrong.

C. A=(3+15)(3+10)−5

=(18)(13)-5=234-5=229 Answer C is correct.

D. A=(3+9)(3+10)=(12)(13)=156 Answer D is wrong.

5 0

4 years ago

What is the volume of a cone with a diameter of 10 in and a height of 12 in

Radda [10]

Answer:

V = 100π

Step-by-step explanation:

The volume of a cone is V = ( $\frac{\pi r^2h}{3}$ )

1) $\frac{\pi5^212}{3}$

2) $\frac{300\pi }{3}$

3) 100π

5 0

3 years ago

What is the domain and range of the relation shown in

Leya [2.2K]

Answer:

Domain : {10, 15, 19, 32}

Range: {-1, 5, 9}

Step-by-step explanation:

As the table of the relation is given as follows:

X Y

10 5

15 9

19 -1

32 5

From this table, we can define the relation by combining the ordered pairs from the table. Each and every order pair consists of x-coordinate and corresponding y-coordinate of any corresponding point.

So, the relation from the table can be made as follows:

relation : {(10, 5), (15, 9), (19, -1), (32, 5)}

Domain of a relation consists of all the x-coordinates (first elements) of order pairs.

Range of a relation consists of all the y-coordinates (second elements) of ordered pairs.

So, domain and range of relation will be as follows:

Domain : {10, 15, 19, 32}

Range: {-1, 5, 9}

Note: If there is any duplicate element in any x or y-coordinate of any ordered pair, it will be written only once when we determine domain and range. Here, in this example, 5 is duplicate, so, it will be mentioned only one time when we determine the range of this relation.

Keywords: domain, relation, range

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6 0

4 years ago

2x^3 + 10x^2 − 4x^2y − 20xy

Sergio [31]

Answer:

2x ( x + 5 ) ( x − 2 y )

Step-by-step explanation:

1) factor out 2x from the equation

2) factor out x from the equation

3) factor out -2y from the equation

4) factor out x + 5 from the equation

2x ( x + 5 ) ( x − 2 y )

8 0

3 years ago

The sum of the square root of a number and 6

Anna007 [38]

Answer:

Step-by-step explanation:

4 0

3 years ago