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Agata [3.3K]
3 years ago
8

Please Answer below!!!

Mathematics
1 answer:
anastassius [24]3 years ago
5 0

Answer:

C

Step-by-step explanation:

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Solve for x in the equation below(all in picture).
EleoNora [17]

Answer:

x = - 5, x = 2

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log (\frac{x}{y} )

log_{b} x = n ⇔ x = b^{n}

note that log x = log_{10} x

Given

log (x² + 3x) - log10 = 0, then

log(\frac{x^2+3x}{10} ) = 0, thus

\frac{x^2+3x}{10} = 10^{0} = 1 ( multiply both sides by 10 )

x² + 3x = 10 ( subtract 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

Solution is x = - 5, x = 2

6 0
3 years ago
Read 2 more answers
Paul paid $ 25.50 for 3 cups of hot chocolate and cups of tea. The cost of each cup of tea was 2/3 the cost of each cup of hoy c
Allushta [10]

Let the cost of one cup of hot chocolate  be = x

Let the cost of one cup of hot tea be = y

Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.

Equation becomes = 3x+4y=25.50   ...(1)

As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.

y=\frac{2x}{3}   .... (2)

Putting the value of y from (2) in (1)

3x+4(\frac{2x}{3})=25.50

=3x+\frac{8x}{3}=25.50

=\frac{9x+8x}{3}=25.50

=17x=76.5

x=4.5

y=\frac{2x}{3}

=\frac{2*4.5}{3}

y =3

Hence each cup of hot chocolate is $4.50

Each cup of tea is $3.

7 0
3 years ago
What is the area of a rectangular stage that is 48 feet long and 30 feet wide?
zhannawk [14.2K]

The area of the rectangle is 1,440 cm2.

5 0
3 years ago
Anna has 1/2 pound of trail mix. She evenly divided the trail mix into 4 bags. How much is in each bag
trasher [3.6K]

Answer:

 

1/8 pound of trail mix in each bag.

Step-by-step explanation:

She divides it into  bags

4 1/2 ÷ 4 = 1/2 x 1/4 = 1/8 pound

3 0
3 years ago
6² / (6+3) + 18 / 3 - 3²<br><br><br> /- divided by
Nataliya [291]
All you have to do is go in the order of operations, and your answer is simple:
<span>6² / (6+3) + 18 / 3 - 3²
= 36 / (9) + 6 - 9 
= 4 + 3
= 1</span>
6 0
2 years ago
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