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Serga [27]
3 years ago
7

Find the number to add to x^2-18x

Mathematics
1 answer:
pentagon [3]3 years ago
4 0

Answer:

A. add 81; (x-9)^2

Step-by-step explanation:

The perfect square formula

(a-b)^2=a^2-2ab+b^2

Rewrite expression x^2-18x as follows:

x^2-2\cdot 9\cdot x

So, to form a perfect square, +9^2 is missed.

When we add 9^2=81, we will get

x^2-2\cdot 9\cdot x+9^2=(x-9)^2

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Answer:

the rotated image correspond is angle DEF

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2 years ago
The cruise boat can carry up to 45 passengers. The company wants to know the minimum number of passengers needed per cruise to c
aksik [14]
Fixed costs:
$350 + $120 + $170 = $640
Variable costs:
x * ( $6.50 + $3.64 ) = x * 10.14
Sales income ( total ):
x * $36.40
FC + FV - Income = 0
640 + 10.14 x - 36.40 x = 0
640 - 26.26 x = 0
26.26 x = 640
x = 640 : 26.26 = 24.37
Answer:
The minimum number of passengers needed per cruise, so that the cruise company can be sure it will make a profit is 25. 
3 0
3 years ago
Identify the local minimum for the function shown.
enyata [817]

Answer:

  D)  (-1, -2)

Step-by-step explanation:

The local minimum is the bottom point on the left-side curve. Its coordinates are (-1, -2), matching choice D.

6 0
3 years ago
On a snow day, Jada created two snowmen in her yard. Snowman A was built to a height of 51 inches and Snowman B was built to a h
MaRussiya [10]

From the graph of the linear functions, we have that both snowman's will have the same height of 21 inches after 5 hours.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

  • The initial height is the intercept.
  • The melting rate, as a negative, is the slope.

Hence the functions are given as follows:

  • A(t) = 51 - 6t.
  • B(t) = 36 - 3t.

The functions are graphed at the end of the answer, with <u>A(t) in red and B(t) in blue,</u> and they intersect at (5,21), meaning that both snowman's will have the same height of 21 inches after 5 hours.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0
1 year ago
Stacey wishes to make a hamburger which is lower in fat without having to give up the great taste. She purchases 5 pounds of gro
STALIN [3.7K]

Answer:

%P = 8%

the percentage of fat in the mixture is 8%

Step-by-step explanation:

Given;

The percentage of fat in the mixture is;

%P = total mass of fat in mixture/total mass of mixture × 100%

%P = F/T × 100% ….....1

Mass of fat in mixture is;

She purchases 5 pounds of ground beef which is 15% fat

F1 = 15% of 5 pounds = 0.15×5 pounds

F1 = 0.75 pound

and combines it with 7 pounds of ground turkey which is only 3% fat

F2 = 3% of 7 pounds = 0.03 × 7

F2 = 0.21 pound

Total mass F = F1 + F2

F = 0.75+0.21

F = 0.96 pound

Total mass of mixture T = 5 + 7 pounds

T = 12 pounds.

From equation 1,

%P = F/T × 100%

%P = 0.96/12 × 100%

%P = 0.08×100%

%P = 8%

the percentage of fat in the mixture is 8%

5 0
3 years ago
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