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2 years ago

Solve the absolute value equation and enter the solution in set notation. |2x−3|−7=0

Mathematics

1 answer:

ziro4ka [17]2 years ago

4 0

Answer:

The solutions are −5 and 1 .

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10. Which of the following is true about the graph of the given inequality?

frez [133]

Answer:

C I think

Step-by-step explanation:

4 0

2 years ago

Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13

Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: $P(t)=P_i(1+r)^t$

where $P(t)$ is the population at time "t",

$P_i$ is the initial (starting) population

$(1+r)$ is the common ratio,

and $r$ is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and initial population), and solve for the unknown common ratio and its related rate of growth:

$P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\$

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

$1+r=1.155273\\r=1.155273-1=0.155273$

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0

2 years ago

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes were 6 to 5. If there were

Natasha_Volkova [10]

3020

Step-by-step explanation:

ans.

Total ratio of votes=6+5

=11

1 ratio of votes=6644÷11

=604

Ratio of no votes=5

Number of no votes=Ratio of no votes×1 ratio of no votes

=604×5

3020

8 0

3 years ago

A student must find the slope of a line that passes through the points (2.2) and (-1, 3). Which of the statements

Evgesh-ka [11]

Answer:

Step-by-step explanation:

the formula of the slope is (y2 - y1)/(x2 - x1)

slope = (3-2)/(-1-2) = 1/(-3) = -1/3

6 0

3 years ago

Which of the following is the symbol for parallel lines AB and XY?

igor_vitrenko [27]

Answer

A is the symbol for parallel lines AB and XY.

Explanation

B shows that line segment AB and XY are parallel, because there are no arrows, and line segments do not extend forever.

C shows that ray AB and XY are parallel, because there is one arrow, and rays only extend on one point.

Only A shows that line AB and XY are parallel. Lines extend forever, the A shows that AB and XY are parallel, since there are arrows in both directions above AB and XY.

3 0

2 years ago