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3 years ago

Graph the inequality -5x +2≤27

Mathematics

2 answers:

DochEvi [55]3 years ago

8 0

$x \geqslant - 5$

I can't graph it right now but just graph the values where x is greater than or equal to 5

astra-53 [7]3 years ago

7 0

The answer should be x>=-(27)/(10)

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The square of a number is 12 less than 7 times the number. What is the number?

hjlf

Answer:

The number is either 3 or 4

Explanation:

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x

We are given that:

square of the number (x²) is 12 less than 7 times the number (7x)

Translating this into an equation, we would have:

x² = 7x - 12

Rearranging the quadratic equation:

x² - 7x + 12 = 0

Now, we factor the equation:

(x-4)(x-3) = 0

This means that:

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3

Let's check if any of the solutions is an extrovert:

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert

Since we have no restrictions on the number, therefore, both solutions would be accepted

Hope this helps :)

7 0

3 years ago

The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 73 minutes and a standard devi

Vesnalui [34]

Answer:

(a) $X\sim N(\mu = 73, \sigma = 16)$

(b) 0.7910

(d) 0.6464

Step-by-step explanation:

Let X = amount of time that people spend at Grover Hot Springs.

The random variable X is normally distributed with a mean of 73 minutes and a standard deviation of 16 minutes.

(a)

The distribution of the random variable X is:

$X\sim N(\mu = 73, \sigma = 16)$

(b)

Compute the probability that a randomly selected person at the hot springs stays longer than 60 minutes as follows:

$P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-73}{16})\\=P(Z>-0.8125)\\=P(Z$

*Use a z-table for the probability.

Thus, the probability that a randomly selected person at the hot springs stays longer than an hour is 0.7910.

(c)

Compute the probability that a randomly selected person at the hot springs stays less than 45 minutes as follows:

$P(X$

*Use a z-table for the probability.

Thus, the probability that a randomly selected person at the hot springs stays less than 45 minutes is 0.0401.

(d)

Compute the probability that a randomly person spends between 60 and 90 minutes at the hot springs as follows:

$P(60$

*Use a z-table for the probability.

Thus, the probability that a randomly person spends between 60 and 90 minutes at the hot springs is 0.6464

6 0

3 years ago

Whats greater .007 or .07

Karolina [17]

.07 is greater than .007

5 0

3 years ago

Mallory makes $10 per hour babysitting and $8 per hour working at the local grocery store. Last week she babysat for 6 hours. He

Aneli [31]

10x6=60 so 180-60=120 and 120 divided by 8 is 15 so the answer is 15 hours

6 0

3 years ago

Read 2 more answers

Logarithm 2. The alkalinity of a fluid (pH) can be modeled in terms of its hydrogen ion concentration (H^+,measured in moles/lit

makkiz [27]

ok. We are given the following equation:

$ph=-\log (H)$

Where:

$\begin{gathered} P=\text{ alkalinity} \\ H=\text{ hydrogen ion concentration} \end{gathered}$

Since we are asked to determine "H" we will solve for "H" in the equation. To do that we will first multiply both sides by -1:

$-ph=\log (H)$

Now, we will use the following property of logarithms:

$\log _aB=c\rightarrow B=a^c$

Applying the property and having into account that:

$\log (H)=\log _{10}(H)$

We get:

$10^{-pH}=H$

Now we substitute the given value of "pH = 4.5":

$10^{-4.5}=H$

Solving the operation:

$0.000032=H$

Therefore, the hydrogen ion concentration of the fluid is 0.000032

7 0

1 year ago