The graphs of each group of equations have at least one characteristic in common. Name the characteristics and then graph each group of equations on the same axes to verify your answer.

Answers

Answer 1

Answer:

Common characteristics, all the equations pass through the origin.

Common characteristics, all equations are parallel lines and are increasing function

Common characteristics, all the equations pass through the origin.

Common characteristics, all the equations pass through the origin and lie on the same points. The three equations are the same.

The three equations intersect at (2,-2).

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An algebraic relationship of that quantity is greater than or less then another quantity ?

Answers

Answer:

Inequality

Step-by-step explanation:

Abigail has $400 in her savings account. She wants to keep at least $160 in the account.She withdraws $40 each week for food. Write and solve an inequality to show how many
weeks she can make withdrawals from her account.

Answers

Answer:

400-40x x=6

Step-by-step explanation:

400 in total. minus 40 each week (x)

40 × 6= 240

400-240=160

A survey of 1000 young adults nationwide found that among adults aged 18-29, 35% of women and 30% of men had tattoos. Suppose that these percentages are based on random samples of 500 women and 500 men. Using a 2.5% level of significance, can you conclude that among adults aged 18-29, the proportion of all women who have tattoos exceeds the proportion of all men who have tattoos?

Answers

Answer:

95% confidence interval for adults in age group 18-29 is (-0.007, 0.107)

Step-by-step explanation:

Given

N1 = n2 = 500

% of males = 0.30

% of females = 0.35

95% confidence interval

(p2-p1) + z(0.025) sqrt (p1q1/n1 + p2q2/n2) and (p2-p1) - z(0.025) sqrt (p1q1/n1 + p2q2/n2)

Substituting the given values, we get –

(0.35-0.30) + 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500) and (0.35-0.30) - 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500)

0.05 + (1.96 *0.029) and 0.05 - (1.96 *0.029)

0.05 + 0.057 and 0.05 – 0.057

(-0.007, 0.107)

Solve each inequality for x. (Enter your answers using interval notation.)(a) ln(x) < 0

(b) ex > 2

Solve each equation for x.

(a) ln(3x − 17) = 5

Express the given quantity as a single logarithm.

ln(a + b) + ln(a − b) − 5 ln(c)

Answers

Using exponential and logarithmic functions, it is found that:

a) The solution of the inequality $ln((x)) < 0$ is $(-infty, 1)$ .

b) The solution of the inequality $e^x > 2$ is $(ln(2), \infty)$

a) The solution to the equation $ln((3x - 17)) = 5$ is x = 55.14.

As a single logarithm, the expression is:

$\ln{\left((a^2 - b^2)/(c^5)\right)}$

Inequality a:

$ln((x)) < 0$

Applying the exponential to both sides:

$e^(ln((x))) < e^(0)$

$x < 1$

Hence, in interval notation:

$(-infty, 1)$

Inequality b:

$e^x > 2$

Applying ln to both sides:

$ln(e^x) > ln(2)$

$x > ln(2)$

Hence, in interval notation, the solution is:

$(ln(2), \infty)$

Equation a:

$ln((3x - 17)) = 5$

$e^(ln((3x - 17))) = e^5$

$3x - 17 = e^5$

$3x = 17 + e^5$

$x = (17 + e^5)/(3)$

$x = 55.14$

The quantity given is:

$ln((a + b)) + ln((a - b)) - 5ln(c)$

To express as a single logarithm, these following properties are applied:

$ln(a) + ln(b) = ln(ab)$

$ln(a) - ln(b) = \ln{\left((a)/(b)\right)}$

$aln(b) = ln(b^a)$

Hence:

$ln((a + b)) + ln((a - b)) - 5ln(c) = ln((a + b)(a - b)) - ln(c^5)$

As a single logarithm, the expression is:

$\ln{\left((a^2 - b^2)/(c^5)\right)}$

A similar problem is given at brainly.com/question/21506771

Answer:

(a) ln(x) = 0

Then 0 < x < 1

(b) e^x > 2

Then ln2 < x < ∞

(a) ln(3x - 17) = 5

x = 55.1377197

ln(a + b) + ln(a - b) - 5ln(c)

= ln[(a² - b²)/c^5]

Step-by-step explanation:

First Part.

(a) ln(x) < 0

=> x < e^(0)

x < 1 ....................................(1)

But the logarithm of 0 is 1, and the logarithm of negative numbers are undefined, we can exclude the values of x ≤ 0.

In fact the values of x that satisfy this inequalities are between 0 and 1.

Therefore, we write:

0 < x < 1

(b) e^x > 2

This means x > ln2

and must be finite.

We write as:

ln2 < x < ∞

Second Part.

(a) ln(3x - 17) = 5

3x - 17 = e^5

3x = 17 + e^5

x = (1/3)(17 + e^5)

= 55.1377197

Third Part.

We need to write

ln(a + b) + ln(a - b) - 5ln(c)

as a single logarithm.

ln(a + b) + ln(a - b) - 5ln(c)

= ln(a + b) + ln(a - b) - ln(c^5)

= ln[(a + b)(a - b)/(c^5)]

= ln[(a² - b²)/c^5]

Which algebraic expression has a term with a coefficient of 9? O A. 6(x + 5) O B. 6x - 9 O C. 6+ x - 9 O D. 9x=6

Answers

Answer:

D is the answer to your question

-1/2+c=31/4 solve for c I will give branliest

Answers

Answer:

c = 8.25

Step-by-step explanation:

31/4 = 7.75

-1/2 = -.5

7.75 - (-.5) = 8.25

Hopefully this helps you :)

pls mark brainlest ;)

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