Please help algebra 2, unit: 5 Matrices

Algebra 1 system of equations -10x − 7y = -12 x = 4

leonid [27]

$= > \: - 10x - 7y = - 12 \\ = > \: - 10(4) - 7y = - 12 \\ = > \: - 40 - 7y = - 12 \\ = > \: - 7y = - 12 + 40 \\ = > \: - 7y = 28 \\ = > y = - \frac{28}{7} \\ = > \: y = - 4$
Hope this helps!

7 0

3 years ago

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When doctors prescribe medicine, they must consider how the drug’s effectiveness declines as time passes. If each hour a drug is

Dima020 [189]

Answer:

The total time for the initial dose of 500 mg to reach a level of 150 mg is approximately 11 hours and 27 minutes

Step-by-step explanation:

Initial dose = 500 mg

Let's calculate the effectiveness of the drug hour by hour, this way:

After 1 hour: 90% of 500 = 450 mg

After 2 hours: 90% of 450 = 405 mg

After 3 hours: 90% of 405 = 364.5 mg

After 4 hours: 90% of 364.5 = 328.05 mg

After 5 hours: 90% of 328.05 = 295.25 mg

After 6 hours: 90% of 295.25 = 265.73 mg

After 7 hours: 90% of 265.73 = 239.16 mg

After 8 hours: 90% of 239.16 = 215.24 mg

After 9 hours: 90% of 215.24 = 193.72 mg

After 10 hours: 90% of 193.72 = 174.35 mg

After 11 hours: 90% of 174.35 = 156.92 mg

After 12 hours: 90% of 156.92 = 141.23 mg

Difference between 11 and 12 hours: 156.92 - 141.23 = 15.7 mg

Difference per minute between 11 and 12 hours: 15.7/60 = 0.262 mg

Time to reach a level of 150 mg in minutes after 11 hours = (156.92-150)/0.262

Time to reach a level of 150 mg in minutes after 11 hours = 26.4

The total time for the initial dose of 500 mg to reach a level of 150 mg is approximately 11 hours and 27 minutes

4 0

3 years ago

Solve the equation by factoring. 8x^2+10x-7=0 What is the solution set?

nydimaria [60]

Answer:

$\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}$

Step-by-step explanation:

Given: 8x² + 10x - 7 = 0

When factoring trinomials of the form ax² + bx + c:

multiply the leading coefficient and the last term.
find the product factors that add to give you the coefficient of the middle term.
rewrite the polynomial with those factors replacing the middle term.

1. Split the middle term:

⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]

⇒ 14, -4 [find the product factors that add to the middle term's coefficient]

⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]

2. Factor by grouping:

⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]

⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]

⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]

⟹ (4x + 7)(2x - 1) = 0

3. Separate into 2 cases:

4x + 7 = 0
2x - 1 = 0

Case 1:

⇒ 4x + 7 = 0 [subtract 7 from both sides]

⇒ 4x + 7 - 7 = 0 - 7

⇒ 4x = -7 [divide both sides by 4]

⇒ 4x ÷ 4 = -7 ÷ 4

⟹ x = $\bold{-\dfrac{7}{4}}$

Case 2:

⇒ 2x - 1 = 0 [subtract 1 from both sides]

⇒ 2x - 1 + 1 = 0 + 1

⇒ 2x = 1 [divide both sides by 2]

⇒ 2x ÷ 2 = 1 ÷ 2

⟹ x = $\bold{\dfrac{1}{2}}$

Solutions:

$\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}$

Learn more about quadratic equations here:

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7 0

2 years ago

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Need Help With this question ASAP please help me

Fiesta28 [93]

Answer:

23.5, 23, 13, 12.5

Step-by-step explanation:

3 0

2 years ago

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Please help, due today

patriot [66]

Answer:

I am a little late but here is the answer

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

Non-proportional linear relationships can be expressed in the form y = m x + b

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

Step-by-step explanation:

From Graph :

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

From Equation :

Non-proportional linear relationships can be expressed in the form y = m x + b, where , m is the slope of the line, and b represents the y-intercept.

From Table:

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

4 0

3 years ago