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3 years ago

Which number belongs to the solution set of the equation below? x - 7 = 35 A. 22 B. 28 C. 42 D. 41

1 answer:

6 0

Hey there!

To find a solution that would satisfy the value of x, the first thing you must do is to first solve for x. To solve x-7=35, you must add 7 to both sides to isolate x. This should result in x=42.

When you look at the answer choices given, notice that choice C is the solution for x, 42.

Therefore, your answer would be C. 42.

To check if this is correct, you can plug 42 back into the equation x-7=35 to see if you get a true statement:
42-7=35
35=35

Hope this helps!

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z = xSqrt(2), its rate of change is just Sqrt(2)

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4 years ago

ou find a deck of cards and know that the deck has too many clubs and spades in it. The deck has 59 cards. If you were to draw t

sashaice [31]

We can find the number of extra clubs in the deck from the given probability, since the probability of drawing a diamond and a club is

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but this would imply that $c=-4$ , which suggests we're taking 4 clubs out of the original deck and contradicts the problem statement that there are "too many clubs".

Perhaps the question is providing the probability of drawing a diamond, THEN a club, or vice versa. In that case, we have

$\dfrac{\binom{13}1}{\binom{59}1}\cdot\dfrac{\binom{13+c}1}{\binom{58}1}=\dfrac{13(13+c)}{3422}$

and solving gives $c=5$ , which makes more sense. Then the number of extra spades in the deck must be 2.

7 0

3 years ago

Solve the following equation to determine the value of x: 3x + (x + 10) + 5x + (2x + 2) = 56

nika2105 [10]

Answer:

I think x = 4.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x + x +10 + 5x + 2x + 2 =56

(3x + x + 5x + 2x) + (10 + 2) = 56 (Combine Like Terms)

11x + 12 = 56

Step 2: Subtract 12 from both sides.

11x + 12 − 12 = 56 − 12

11x = 44

Step 3: Divide both sides by 11.

11x/11 = 44/11

x = 4

7 0

3 years ago

Remember to show work and explain. Use the math font.

vichka [17]

Answer:

$\large\boxed{1.\ f^{-1}(x)=\sqrt[12]{3^x}}\\\\\boxed{2.\ f^{-1}(x)=\sqrt[4]{3^x}}\\\\\ \boxed{3.\ f^{-1}(x)=\sqrt[3]{4^{7-x}}}$

Step-by-step explanation:

$(a^n)^m=a^{nm}\\\\\log_ab=c\iff a^c=b\\\\a^{\log_ax}=x\\\\n\log_ab=\log_ab^n\\\\\log_ab+\log_ac=\log_a(bc)\\============================\\\\1.\\y=3\log_3x^4\to y=\log_3(x^4)^3\to y=\log_3x^{12}$

$2.\\y=\log_3x^4\\\\\text{Exchange x and y. Solve for y:}\\\\\log_3y^4=x\Rightarrow3^{\log_3y^4}=3^x\Rightarrow y^{4}=3^x\\\\y=\sqrt[4]{3^x}\\-------------------------$

$3.\\y=-\log_4x^3+7\\\\\text{Exchange x and y. Solve for y:}\\\\-\log_4y^3+7=x\qquad\text{subtract 7 from both sides}\\\\-\log_4 y^3=x-7\qquad\text{change the signs}\\\\\log_4y^3=7-x\Rightarrow4^{\log_4y^3}=4^{7-x}\\\\y^3=4^{7-x}\Rightarrow y=\sqrt[3]{4^{7-x}}$

7 0

3 years ago

Circle YES or NO The terms -5x and 5x are like terms. PLEASE I NEED IT REALLY QUICK

Musya8 [376]

Answer:

YES

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers