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4 years ago

Solve the inqualities 3x-3<9

Mathematics

1 answer:

pentagon [3]4 years ago

8 0

Answer: x < 4

Step-by-step explanation: When solving the inequality 3x - 3 < 9, just like an equation our first step is to isolate the x term which is 3x by adding 3 to both sides of the inequality.

On the left, -3 + 3 cancels and we have 3x.

Make sure to bring down the < sign.

On the right, 9 + 3 simplifies to 12.

So we have 3x < 12.

Now, divide both sides of the inequality by 3 to isolate x.

When we do that we get x < 4

So our answer is x < 4.

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4 years ago

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Find the axis of symmetry for y=3x^2 +5x-7

slamgirl [31]

A = the number before x^2 = 3
b = the number before x = 5
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5 0

3 years ago

use the elimination method to solve the system of equations choose the correct ordered pair 7x+4y=39 2y+4y=14

Anvisha [2.4K]

$x = 5 \: and \: y = 1.$

Step-by-step explanation:

$7x + 4y = 39 \: - {eq}^{n} (1)$

$2x + 4y = 14 \: \: - {eq}^{n} (2)$

Multiply Equation no (1) with 2 and Equation no (2) with 7.

$14 x + 8y = 78.$

$14x + 28y = 98.$

$( - ) \: \: \: ( - ) \: \: \: ( - )$

$0x + -20y = - 20$

$- 20y = - 20$

$y = \frac{ - 20}{ - 20}$

$y = 1$

Substitute the value of "y" in Equation no (1)

$7x + 4y = 39.$

$7x + 4(1) = 39.$

$7x + 4 = 39.$

$7x = 39 - 4$

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6 0

3 years ago

Read 2 more answers

Suppose a normal distribution has a mean of 48 and a standard deviation of 2. What is the probability that a data value is betwe

stepan [7]

Answer:

Choice D. 15.2%

Step-by-step explanation:

We have a normal...

mean u = 48

standard deviation s = 2

We want P(43 < X < 46)

We standardize.

Consider P(43 < X) = P( (43 - 48)/2 < Z) = P(-2.5 < Z)

P( X < 46) = P( Z < (46 - 48)/2 ) = P(Z < -1)

We want P( -2.5 < Z < -1)

Look at Z-scores.

P( Z < -2.5) = 0.0062

P(Z < -1) = 0.1587

so P(-2.5 < Z < -1) = P(Z < -1) - P(Z < -2.5) = 0.1587 - 0.0062 = 0.1525 = 15.2%

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rodikova [14]

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3 years ago