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3 years ago

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Which is the solution set of 7y+1<8y – 9? Multiple choice question. A) {y|y < −10} B) {y|y < 10} C) {y|y > 10} D) {y

|y > −10}

1 answer:

Galina-37 [17]3 years ago

6 0

Answer: (c)

Step-by-step explanation:

Given

The inequality is $7y+1$

Solving the above inequality

$\Rightarrow 7y+1$

Thus, option (c) is correct.

You might be interested in

What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.

Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

$y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)$

We have to find the distance of this point from y=2x+5

$y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0$

The formula for finding distance of a point (x,y) from a line is:

$d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}$

A=2

B=-1

C=5

Putting the values in the formula

$d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units$

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

#LearnwithBrainly

7 0

3 years ago

O 12 units<br> O 15 units<br> O 20 units<br> O 25 units

nadezda [96]

Answer:

12 units

Step-by-step explanation:

Because the two triangles are similar:

$\dfrac{x}{9}=\dfrac{16}{x} \\\\\\\dfrac{x^2}{9}=16 \\\\\\x^2=144 \\\\\\x=12$

Hope this helps!

3 0

3 years ago

A leprechaun places a magic penny under a girl's pillow. the next night there are 2 magic pennies under her pillow. each night

ExtremeBDS [4]

2^18 power = 262,144

3 0

3 years ago

Read 2 more answers

Let f(x)=x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 uni

Mrac [35]

Answer:

$g(x) = 4x + 4$

Step-by-step explanation:

The given function is f(x)=x.

If we stretch vertically by a factor of 4 and a translation of 4 units up then the new function becomes

$g(x) = 4f(x) + 4$

But f(x)=x

We substitute to obtain the equation of g(x) as

$g(x) = 4x + 4$

8 0

3 years ago

Read 2 more answers

Raoul has to finish a 473-page book in a week. He decides to read the same number of pages each weekday and 30 extra pages on Sa

hodyreva [135]

Answer:

$59$ pages

Step-by-step explanation:

Variable:

x = number of pages he has to read on a weekday

x + 30 = The number of pages read on Saturday and Sunday

$5x+2(x+30) = 473$

$==> 5x + 2x + 60 = 473$

$==> 7x =413$

$==> x = 59$

Meaning that Raoul has to read 59 pages on Wednesday

6 0

4 years ago