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Black_prince [1.1K]
3 years ago
9

Plllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz 100 points

Mathematics
2 answers:
tamaranim1 [39]3 years ago
7 0

Answer:

z = 10

Step-by-step explanation:

the steps have been attached above

Elis [28]3 years ago
7 0

Answer:

z = 10

Step-by-step explanation:

<u>Step 1:  Make an expression</u>

P = 2l + 2w

<u>Step 2:  Distribute</u>

184 = 2(5z + 2) + 2(4z)

184 = (2 * 5z) + (2 * 2) + 8z

184 = 10z + 4 + 8z

184 = 18z + 4

<u>Step 3:  Subtract 4 from both sides</u>

184 - 4 = 18z + 4 - 4

180 = 18z

<u>Step 4:  Divide both sides by 18</u>

180 / 18 = 18z / 18

10 = z

Answer:  z = 10

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Marble: 2/7

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What is the value of x in the equation 3x-5=1/2x+2x
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Answer:

exact form: x= 11/2

Decimal Form

X= 5.5

Mixed form

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Step-by-step explanation:

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Need help fast due today thanks
cricket20 [7]

1

Move everything to the left by subtracting 25 from both sides:

81x^2-25=0

Both terms are squares: 81x^2 is the square of 9x, while 25 is the square of 5. So, we can apply the factoring

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

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(9x+5)(9x-5)=0

A multiplication is zero if and only if one of the factors is zero, so we have

(9x+5)(9x-5)=0 \iff 9x+5=0 \lor 9x-5=0 \iff x=-\dfrac{5}{9} \lor x=\dfrac{5}{9}

2

The discriminant of the quadratic expression ax^2+bx+c is defined as

\Delta = b^2-4ac

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3

Similarly, we have

\Delta = 7^2-4\cdot(-3)\cdot 6 = 49+72=121

8 0
3 years ago
The graph shown represents the number of bacteria in a dish after a certain number of minutes. It is a function in the form f(x)
SSSSS [86.1K]

Answer:

The number of bacteria in the dish after 9.9 minutes is 478

Step-by-step explanation:

The form of the function is f(x)=a.b^{x} , where a is the initial amount (value f(x) at x = 0)

To find a and b let us use two points from the graph and substitute their coordinates in the equation

∵ The graph passes through point (1 , 1)

∴ x = 1 and y = 1

- Substitute them in the equation

∵ 1=a.b^{1}

∴ a.b = 1 ⇒ (1)

∵ The graph passes through point (1 , 1)

∴ x = 3 and y = 4

- Substitute them in the equation

∵ 4=a.b^{3}

∴ a.b³ = 4 ⇒ (2)

Use equation (1) to find a in terms of b

∵ a.b = 1

- Divide both sides by b

∴ a=\frac{1}{b} ⇒ (3)

- Substitute a in equation (2) by equation (3)

∴ \frac{1}{b} . b³ = 4

- Remember the rule \frac{a^{m}}{a^{n}}=a^{m-n}

∵ \frac{1}{b} . b³ = b^{3-1} = b²

∴ b² = 4

- Take √  for both sides

∴ b = 2

Substitute the value of b in equation (3) to find a

∵ a = \frac{1}{2}

∴ a = 0.5

∴ f(x)=0.5(2)^{x}

∵ f(x) represents the number of bacteria after x minutes

∵ x = 9.9 minutes

- Substitute x by 9.9 to find the number of bacteria

∵ f(9.9)=0.5(2)^{9.9}

∴ f(9.9) = 477.7128917

- Round it to the nearest whole number

∴ f(9.9) = 478

∴ The number of bacteria in the dish after 9.9 minutes is 478

4 0
3 years ago
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