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2 years ago

Solve: Picture attached

Mathematics

2 answers:

konstantin123 [22]2 years ago

5 0

The answer is 24
Explanation
First you multiply by both sides of the equation by 3
3 x z/3 = 3 x 8
Then reduce the numbers with the greatest common factor 3
Now the equation looks like this
z= 3 x 8
The next step is a no brainer, just multiply
And finally z= 24

STatiana [176]2 years ago

3 0

Answer:

Step-by-step explanation:

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Write the equation of the line that passes through the points (-8,-1) and (5,-7). Put your answer in fully reduced point-slope f

alexandr402 [8]

Answer:

The answer to the question provided is:

$y + 1 = - \frac{6}{13} (x + 8)$

Step-by-step explanation:

❃Incase you forgot what the point-slope formula is ☟

$y - y_1 = m(x - x_1)$

❃Incase you also forgot, what the slope formula is ☟

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

➊ First: We are going to be solving for the slope.

$m = \frac{ - 7 - ( - 1)}{5 - ( - 8)} = \frac{ - 6}{ \: 13} = - \frac{6}{13}$

➋Second: Plug in.

$y + 1 = - \frac{6}{13} (x + 8)$

5 0

2 years ago

Deidre is picking out some movies to rent, and she is primarily interested in documentaries and children's movies. She has narro

exis [7]

Answer: 6630

Step-by-step explanation:

Given , Number of documentaries = 17

Number of children's movies = 20

Total movies = 17+20=37

Number of combinations of r things taken out of things = $^nC_r=\dfrac{n!}{r!(n-r)!}$

Now, the number of different combinations of 3 movies can she rent if she wants at least one documentary

= (1 documentary+2 children's movies , 2 documentary+1 children's movies , 3 documentary+0 children's movies)

$=^{17}C_1\times^{20}C_{2}+^{17}C_2\times^{20}C_{1}+^{17}C_3\times^{20}C_{0}$

$=(17)\times\dfrac{20!}{2!18!}+\dfrac{17!}{2!15!}\times(20)+\dfrac{17!}{3!14!}(1)\\\\=3230+2720+680=6630$

Hence, the number of different combinations of 3 movies can she rent if she wants at least one documentary is 6630 .

3 0

3 years ago

Please help asap!!!!!! quadratic functions 50 points

Norma-Jean [14]

Answer:

The domain is all real numbers such that -6≤x≤-2, and the range is all real numbers greater than or equal to -4.

Step-by-step explanation:

The domain refers to the set of possible <u>input</u> values, so in the domain of a graph consists of all the input values shown on the x-axis, in this case, all numbers beetwen -6 and -2. The range is the set of possible <u>output</u> values, which are shown on the y-axis; in the graph, all numbers equal and higher than -4.

8 0

2 years ago

The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the

omeli [17]

Given:

The volume of the rectangular prism is

$b^{3}+8 b^{2} +19b+12$ ,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be $(mb^{2}+nb+k)$

2

$b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)$

notice that $b^{3}$ is the product of the largest 2 terms: $mb^{2}$ and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

$b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)$

$(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12$

= $= b^{3}+(n+3)b^{2}+(3n+4)b+12$

4
now compare the coefficient with the left side:

$8 b^{2}=(n+3)b^{2}$

8=n+3

n=5

substituting n=5:

the base area is $b^{2}+5b+4$

Answer: $b^{2}+5b+4$

3 0

2 years ago

The sides of a rectangular room are perpendicular to each other.

stiv31 [10]

Answer:

120 m^2

Step-by-step explanation:

Length of the room = 10 m

Breadth of the room = 12 m

We know that, Area = Length * Breadth

Hence,

Total Area of carpet needed to cover the floor of the room = 12 * 10 = 120 m^2

5 0

2 years ago