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Eva8 [605]
3 years ago
9

Solve the inequality -5x > 35

Mathematics
2 answers:
galina1969 [7]3 years ago
5 0
-5x > 35
-x > 7
(Divide it by 5)
Licemer1 [7]3 years ago
5 0

Answer:

x is greater than or equal to -8

Step-by-step explanation:

35/-5 is 7 and since the sign is greater than that means that -5x will be greater than 35

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15 points and BRAINLIEST John and his sister each bought a car in 2005. John's car cost $3,000 and is decreasing in value $150 p
nignag [31]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
Anne picked out 3 board games from her cabinet to take to a game night with her friends. She still has more than 10 board games
Tresset [83]

Answer:

x - 3 > 10

There were more than

13

board games in Anne's cabinet to start.

Step-by-step explanation:

The variable x represents how many board games were in Anne's cabinet to start. Since she has already picked out 3 board games to bring, the expression x–3 represents how many board games are still in the cabinet.

And, since Anne has more than 10 board games still in her cabinet, x–3 must be greater than 10.

This inequality shows the relationship.

x–3>10

Now, solve for x.

x–3

> 10

x–3+3

> 10+3 Add 3 to both sides

x

> 13 Simplify

So, there were more than 13 board games in Anne's cabinet to start.

8 0
3 years ago
Which of these strategies would eliminate a variable in the system of equations ?
Mrrafil [7]

Answer:

B

Step-by-step explanation:

I believe the answer is B because if we multiply the top equation by 6, we get 48x + 30y = -42, and if we multiply the bottom equation by -5, we get

35x - 30y = 20. So now, if we add it all together, then the positive 30y and negative 30y cancel out aka it equals 0, and thus the variable y is gone, satisfying the requirement that the problem asks for ("Which of these strategies would eliminate a variable...").

I hope this helped, and if it's correct, I'd appreciate if you marked my answer as Brainliest :)

7 0
3 years ago
1. Express <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%282x%2B3%29%20%7D" id="TexFormula1" title="\frac{1}{x(2x+3) }" a
katovenus [111]

1. Let a and b be coefficients such that

\dfrac1{x(2x+3)} = \dfrac ax + \dfrac b{2x+3}

Combining the fractions on the right gives

\dfrac1{x(2x+3)} = \dfrac{a(2x+3) + bx}{x(2x+3)}

\implies 1 = (2a+b)x + 3a

\implies \begin{cases}3a=1 \\ 2a+b=0\end{cases} \implies a=\dfrac13, b = -\dfrac23

so that

\dfrac1{x(2x+3)} = \boxed{\dfrac13 \left(\dfrac1x - \dfrac2{2x+3}\right)}

2. a. The given ODE is separable as

x(2x+3) \dfrac{dy}dx} = y \implies \dfrac{dy}y = \dfrac{dx}{x(2x+3)}

Using the result of part (1), integrating both sides gives

\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + C

Given that y = 1 when x = 1, we find

\ln|1| = \dfrac13 \left(\ln|1| - \ln|5|\right) + C \implies C = \dfrac13\ln(5)

so the particular solution to the ODE is

\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + \dfrac13\ln(5)

We can solve this explicitly for y :

\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3| + \ln(5)\right)

\ln|y| = \dfrac13 \ln\left|\dfrac{5x}{2x+3}\right|

\ln|y| = \ln\left|\sqrt[3]{\dfrac{5x}{2x+3}}\right|

\boxed{y = \sqrt[3]{\dfrac{5x}{2x+3}}}

2. b. When x = 9, we get

y = \sqrt[3]{\dfrac{45}{21}} = \sqrt[3]{\dfrac{15}7} \approx \boxed{1.29}

8 0
2 years ago
Darren got 42 out of 56 questions correct on a test. What percent of the questions did he get correct?
chubhunter [2.5K]

Answer:

75%

42/56 =  42/56

Convert to decimal form:

42÷56 = 0.75

= 75%

Can you mark as brainliest if its right?

3 0
2 years ago
Read 2 more answers
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