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2 years ago

HELP ASAP PLS!! COMPOUND INEQUALITIES.

Mathematics

1 answer:

barxatty [35]2 years ago

8 0

Answer: -5<n<=9

Step-by-step explanation:

10n-9>-59

10n>-50

n>-5

n-6<=3

n<=9

n>-5 and n<=9

-5<n<=9

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The explicit formula for the nth term of an arithmetic sequence is an = a1 + (n - 1) • d. What is the simple formula correspondi

AURORKA [14]

A1 = -10
d = 3
an = -10+(n-1)*3
an = -10+3n-3
an= 3n-13
Correct answer: B.

4 0

4 years ago

On a set of house plans, the scale is 2 cm : 5 m. If the actual length of a room is 18 m, what is the length of the room on the

Jobisdone [24]

If
2cm...................................5 m
?cm....................................18 m
the lenght of the room= (18*2)/5=7.20 cm
choice c

3 0

3 years ago

Let y=f(x)=(3x+7)/(x-2) find a rule for f^-1

Murrr4er [49]

Answer:

$f^{-1}(x)=\frac{2x+7}{x-3}$ .

Step-by-step explanation:

The given function is $f(x)=\frac{3x+7}{x-2},\:x\ne2$ .

We want to find a rule for $f^{-1}(x)$ .

Let $y=\frac{3x+7}{x-2}$ .

Interchange x and y.

$x=\frac{3y+7}{y-2}$ .

Solve for y.

$x(y-2)=3y+7$ .

Expand

$xy-2x=3y+7$ .

Group y-terms

$xy-3y=7+2x$ .

Factor

$(x-3)y=7+2x$ .

$y=\frac{2x+7}{x-3}$ .

$\therefore f^{-1}(x)=\frac{2x+7}{x-3},\:x\ne3$ .

8 0

3 years ago

A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top o

DochEvi [55]

Answer:

The height of tree house is 70.71 feet

Step-by-step explanation:

We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground

Refer the attached figure

Length of rope AC = Hypotenuse =100 feet

The top of a tree house to the ground forms a 45∘ angle of elevation from the ground = $\angle ACB = 45^{\circ}$

We are supposed to find the height of tree house i.e.AB = Perpendicular

So, Using trigonometric ratio

$Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB$

Hence The height of tree house is 70.71 feet

8 0

4 years ago

Which symbol would correctly compare the values shown be 1-8|?|8

Troyanec [42]

Answer:

Step-by-step explanation:

|-8|?|8|

8 ? 8
8 = 8
Hope this helps :)

5 0

2 years ago