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MariettaO [177]
3 years ago
6

Which inequality represents the sentence below?

Mathematics
2 answers:
nikitadnepr [17]3 years ago
8 0

The difference of a number P and one and four tenths is more than nine and seventy-eight hundredths.

P - 1.4 > 9.78

Alona [7]3 years ago
3 0

Answer:

A. P-1.4>9.78

Step-by-step explanation:

We have been given a sentence. We are asked to find the inequality that represents the given sentence.

Sentence:

The difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

Let the number be P.

The difference of number and one and four tenths would be P-1.4.

The difference both numbers is more than nine and seventy-eight hundredths. We can represent this information in an inequality as:

P-1.4>9.78

Therefore, option A is the correct choice.

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7 times a number is 8 less than the square of that number. Find the negative solution.
charle [14.2K]

Answer:

  -1

Step-by-step explanation:

The required relation is ...

  7n = n^2 -8

  0 = n^2 -7n -8 . . . . put in standard form

  0 = (n -8)(n +1) . . . . factor

Solutions are n=8 and n=-1.

The negative solution is -1.

7 0
3 years ago
write the expressions for when you translate the graph of y = |x+2| a) one unit up b) one unit down c) one unit to the left d) o
irina1246 [14]

Hello!

This question is about which values you are changing when you are transforming an equation.

Let's go through the parent function for an absolute value equation and its various transformations.

y=a|b(x-c)|+d

Since we are only looking at horizontal and vertical transformations, we only need to worry about the c and d values.

The c value of a function determines a function's horizontal position, and the d value of a function determines a function's vertical position.

One thing to note here is that the c value is being subtracted from the x value, meaning that if the function is being transformed to the right, you would actually be subtracting that value, while the d value behaves like a normal value, if it is being added, the function is transformed up, and vice versa.

Now that we know this, let's write each expression.

a) y=|x+2|+1

b) y=|x+2|-1

c) y=|x+3|

d) y=|x+1|

Hope this helps!

6 0
3 years ago
The population of a town in 2000 was 430. The population is increasing at a rate of 0.9% every year. What will be the projected
Naddik [55]
If in 2000 there were 430 folksk, 2010 is 10 years later, thus t = 10

\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &430\\
r=rate\to 0.9\%\to \frac{0.9}{100}\to &0.009\\
t=\textit{elapsed time}\to &10\\
\end{cases}
\\\\\\
A=430(1+0.009)^{10}\implies A=430(1.009)^{10}
7 0
4 years ago
The label on a 1 1/2pound bag of wildflowers seeds states that it will cover an area of 375 square feet. Based on this informati
BaLLatris [955]

Answer:

250 square feet

Step-by-step explanation:

This problem can be easily solved using ratios.

It says that  1\frac{1}{2} pound covers 375 sq. ft.

So, how much would 1 pound cover?

Let 1 pound cover "x" pounds. We can setup up two ratios and equate them. Then cross multiply and solve for x.

Note:  Pounds on numerator and Square Feet on denominator

\frac{1\frac{1}{2}}{375}=\frac{1}{x}\\1\frac{1}{2}*x=375*1\\1\frac{1}{2}x=375\\\frac{3}{2}x=375\\x=\frac{375}{\frac{3}{2}}\\x=375*\frac{2}{3}\\x=250

Hence, 1 pound of wildflower seeds will cover an area of 250 square feet

4 0
4 years ago
Why are prefixes used in naming covalent compounds
Nataly_w [17]

Answer:

the atoms can have different numbers of valence electrons

6 0
3 years ago
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