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DerKrebs [107]
3 years ago
12

ILL MARK BRAINILEST IF YOU ANSWER!!!

Mathematics
1 answer:
ella [17]3 years ago
8 0

Answer:

h_{max}=5.5

Step-by-step explanation:

Given

h = -0.1(d + 1)(d - 12)

Solving (a): The graph

To do this, we plot h on the vertical axis and d on the horizontal

<em>See attachment for graph</em>

Solving (b): The maximum of h

From the attached graph, h has the maximum value when:

d = 4.225

So, the maximum of h is:

h_{max}=5.5

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Solve for the unknown variable 2/5(3x-4)=-4
Elanso [62]

Answer:

x = -2

Step-by-step explanation:

Solve for x:

(2 (3 x - 4))/5 = -4

Multiply both sides of (2 (3 x - 4))/5 = -4 by 5/2:

(5×2 (3 x - 4))/(2×5) = -4×5/2

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) (3 x - 4) = -4×5/2

5/2 (-4) = (5 (-4))/2:

(5×2 (3 x - 4))/(2×5) = (-4×5)/2

(5×2 (3 x - 4))/(2×5) = (2×5)/(2×5)×(3 x - 4) = 3 x - 4:

3 x - 4 = (-4×5)/2

(-4)/2 = (2 (-2))/2 = -2:

3 x - 4 = 5×-2

5 (-2) = -10:

3 x - 4 = -10

Add 4 to both sides:

3 x + (4 - 4) = 4 - 10

4 - 4 = 0:

3 x = 4 - 10

4 - 10 = -6:

3 x = -6

Divide both sides of 3 x = -6 by 3:

(3 x)/3 = (-6)/3

3/3 = 1:

x = (-6)/3

The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:

Answer:  x = -2

6 0
3 years ago
Read 2 more answers
Diego is solving the equation x^2-12x = 21
uysha [10]

Answer:

The solutions to the quadratic equations will be:

x=\sqrt{57}+6,\:x=-\sqrt{57}+6

Step-by-step explanation:

Given the expression

x^2-12x\:=\:21

Let us solve the equation by completing the square

x^2-12x\:=\:21

Add (-6)² to both sides

x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2

simplify

x^2-12x+\left(-6\right)^2=57

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

x^2-12x+\left(-6\right)^2=\left(x-6\right)^2

so the expression becomes

\left(x-6\right)^2=57

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x-6=\sqrt{57}

add 6 to both sides

x-6+6=\sqrt{57}+6

Simplify

x=\sqrt{57}+6

also solving

x-6=-\sqrt{57}

add 6 to both sides

x-6+6=-\sqrt{57}+6

Simplify

x=-\sqrt{57}+6

Therefore, the solutions to the quadratic equation will be:

x=\sqrt{57}+6,\:x=-\sqrt{57}+6

5 0
3 years ago
How should this problem be solved?<br> (a^3)^2
fiasKO [112]
  (a^3)^2
= a^(3*2)
= a^6
or
   a^3 * a^3
= a^(3+3)
= a^6

7 0
3 years ago
If two sides of a triangle are 7 and 14, the third side may be?
sukhopar [10]

Answer:

it would be 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
30% of the people at a concert are female. 1295 of the people at the concert are male. Work out the number of people at the conc
liubo4ka [24]
Total number of people = n
Number of female = 30/100 n
Number of male = 1295

Number of females = 579 total female
6 0
3 years ago
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