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2 years ago

The product of a number and -3, increased by 8, is 20

Mathematics

1 answer:

natita [175]2 years ago

3 0

answer:

-4

Step-by-step explanation:

-3x+8= 20

-8 -8

-3x = 12

÷-3. = ÷-3

x = -4

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Solve the equation 3^(2x) -4*3^(x+1) + 27 = 0. use rules of exponents to change 3^(x+1)

Leviafan [203]

Answer:

$\huge\boxed{x=1\ \vee\ x=2}$

Step-by-step explanation:

$3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}$

$\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}$

4 0

2 years ago

Blank percent of 50 shirts is 35 shirts

kirill [66]

$x\% \times 50 = 35 \\ \dfrac{x}{100} \times 50 = 35 \\ x = 35 \div 50 \times 100 \\ x = 70$

Answer check :
$50 \times \dfrac{70}{100} \\ = 35$

Answer : 70%

Hope this helps. - M

4 0

2 years ago

Please help me ASAP!!!!!<br><br> Hurry LIMITED TIME......

Pani-rosa [81]

It is the last one D

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3 years ago

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Please answer this question, will give brainliest!

Andrej [43]

Answer:

6.63 cm

Step-by-step explanation:

The segments within the circle form a right angle. Triangle CRS as a right triangle must follow the Pythagorean theorem which says the square of each leg adds to the square of the hypotenuse.

a² + b² = c²

Here a is unknown, b = 10 and c = 12.

a² + 10² = 12²

a² + 100 = 144

a² = 44

a = √44 = 6.63

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2 years ago

Write 0.125 as a fraction

SashulF [63]

Answer:

Hey mate!!

Ur answer is, 0.125= 125/1000

pls mark as BRAINLIST

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2 years ago

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