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ludmilkaskok [199]
3 years ago
9

Write and evaluate the expression.

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
7 0

The expression to represent the phrase is 19/n - 7

The value of the expression when n = 2 is 2.5

nadezda [96]3 years ago
6 0
seven less than the quotient of nineteen and a number.
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Solve the inequality. Check your solutions.
Komok [63]
The inequality is 

7- \frac{2}{b}\ \textless \ \frac{5}{b}

write 7 as 7b/b to have all the expressions in common denominator:

\frac{7b}{b} - \frac{2}{b}\ \textless \ \frac{5}{b}

\frac{7b-2}{b} \ \textless \ \frac{5}{b}

\frac{7b-2}{b}- \frac{5}{b}\ \textless \ 0

\frac{7b-2-5}{b}\ \textless \ 0

\frac{7b-7}{b}\ \textless \ 0

\frac{7(b-1)}{b}\ \textless \ 0

here b=1 is a root and b=0 is not in the domain of the expression, but it still has an effect in the sign of the expression.

the sign table of \frac{7(b-1)}{b} is :

+++++++[0] --------[1] +++++

this means that for values of b to the left of 0 and to the right of 1, the expression is positive, and for values of b in (0, 1), the expression is negative.

that is \frac{7(b-1)}{b}\ \textless \ 0 for b∈(0, 1)

Answer: (0, 1)
8 0
3 years ago
Three times the sum of a number and 4 is 8 less than one half the number
Gekata [30.6K]
The answer for this question is 3(x+4)=1/2x-8
6 0
3 years ago
Which graph shows the solution set of x^2+4x-12/x 0
kupik [55]
As shown in the figure below the answer is the last option:

(-6, 0) \cup (2, +\infty)

The roots of the polynomial in the denominator are:

x_{1}=-6
x_{2}=2

So, the inequality can be written as follows:

\frac{(x-2)(x+6)}{x}\ \textgreater \ 0

From this inequality we can study the signs and get the same conclusion just as shows the graph.



6 0
3 years ago
Read 2 more answers
A class sorted 45 books in 90 minutes. How long would it take to sort 120 books?
pav-90 [236]
45 \ books\ in\ 90\ minutes\\\\
120\ bookes\ in\ x\ minutes\\\\
making\ proportion\\
45-90\\120-x\\\\cross\ multiplication\\\\
45x=90*120\\\\
45x=10800\ \ \ | divide\ by\ 45\\\\x=240\\\\
It\ will\ take\ 240\ minutes.
8 0
3 years ago
Read 2 more answers
One leg of a right triangle is 7 inches longer than the smaller leg and the hypotenuse is 8 inches longer than the smaller leg.
Makovka662 [10]
Smaller leg = x
longer leg = y
hypotenuse = z

y=x+7
z=x+8

due to
{z}^{2}  =  {x}^{2}  +  {y}^{2}  \\ (x + 8) ^{2}  =  {x}^{2}  + (x + 7) ^{2}  \\  {x}^{2}  + 16x + 64 =  {x}^{2}  +  {x}^{2}  + 14x + 49 \\  {x}^{2}  + 16x + 64 = 2 {x}^{2}  + 14x + 49 \\  {x}^{2}  - 2 {x}^{2}  + 16x - 14x + 64 - 49 = 0 \\  -  {x}^{2}  + 2x + 15 = 0 \\  {x}^{2}  - 2x - 15 = 0 \:  \: (multiplied \: by \:  - 1) \\ (x - 5)(x + 3) = 0 \\ then \:  \: x = 5 \:  \: or \:  \: x =  - 3
but x cannot be -3
so smaller leg is 5 inches

then longer leg = 5+7 = 12 inches
and hypotenuse = 5+8 = 13 inches
3 0
3 years ago
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