Solve for f
-5f + 5 < 15
-------------------
A: f < 2
B: f < 8
C: f > -2
D: f = 3

Answer:

Last option

Step-by-step explanation:

First method :

Red Line:

Take 2 coordinates through which the line passes. Let it be (0, 7) and (14, 0).

[tex]slope, m=\frac{ 0-7}{14-0} = -\frac{7}{14} = -\frac{1}{2}[/tex]

[tex]Equation : (y - 7) = -\frac{1}{2}(x)[/tex]

                [tex]2y - 14 = -x\\2y + x = 14\\4y + 2x = 28[/tex]                  [tex][ multiply \ by \ 2 \ on \ both \ sides][/tex]

Blue Line:

Take coordinates through which the line passes.

Let it be (-4, -12) and (-10, -9).

[tex]slope, m = \frac{-9 + 14}{-10} = \frac{5}{-10} = -\frac{1}{2}[/tex]

[tex]equation : (y + 12) = -\frac{1}{2} (x+4)\\[/tex]

              [tex]y = -\frac{1}{2}x - 2 - 12\\\\y = -\frac{1}{2}x -14\\\\2y = -x - 28\\\\-2y = x +28[/tex]

Second Method:

From the graph it is clear the lines are parallel. The slopes of line parallel to each other are equal. So convert each equation into standard line equation form :y = mx + b

And check for set of equation whose slope are same.

First set :

[tex]y = 10x - 15 \\\\=> slope = 10\\\\-9x + 2y = 10\\2y = 9x + 10\\\\y = \frac{9}{2}x + 5 => slope = \frac{9}{2}[/tex]

Slopes are not equal.

Second set :

[tex]2y = 2x + 5\\y = x + \frac{5}{2}\\slope = 1\\\\\\3x -4y = -5\\4y = 3x + 5\\\\\y = \frac{3}{4}x + \frac{5}{4}\\\\slope = \frac{3}{4}[/tex]

Slopes are not equal.

Third set :

[tex]y = 3x +10 \\slope = 3\\\\\\2x - 3y = -6\\3y = 2x +6\\\\y = \frac{2}{3}x + 2\\\\slope = \frac{2}{3}[/tex]

Slopes are not equal.

Fourth set :

[tex]2x + 4y = 28\\4y = -2x +28\\\\y = -\frac{1}{2}x + 7\\\\slope = -\frac{1}{2}\\\\\\-2y = x + 28\\\\y = -\frac{1}{2}x - 14\\\\slope = -\frac{1}{2}[/tex]

Slopes are same.

Answer:

hiii my pic lol (✿^‿^)(✿^‿^)(✿^‿^)(✿^‿^)

Answer: square root property

Step-by-step explanation:trust me

Answer:

Step-by-step explanation:

Distribute the Negative Sign:

=−9x+32+−1(15x+41)

=−9x+32+−1(15x)+(−1)(41)

=−9x+32+−15x+−41

Combine Like Terms:

=−9x+32+−15x+−41

=(−9x+−15x)+(32+−41)

=−24x+−9

Answer:

-24x - 9

Step-by-step explanation:

Combine like terms.

ANSWER:

A is number 3

B is number 2

Step-by-step explanation:

The left side is A and B (order)

the right side is 1,2,3,4 (order)

explanation: A is number 3 because as said in A the tram already has 5 people which is what we start with a1 = 5 and we add 11 at each stop as shown in the equation.

B is number 2 for the same reason as it started with 2 but added 4 inches of rain each time.

Answer:

Step-by-step explanation:

According to problem description, we have two triangles

The first one:   the fish pond and feet and eyes of Kendra

The second one the fish  pond and the side wall of the apartment

These two triangles have angle  α  as common angle and its tan

tan α  =  1.5/ 2   =  x/ 40     then         note  :  150 cm  =  1.5 m

1.5/ 2   =  x/ 40

x  =  40 * 1.5 / 2

x  =  30 m

Answer:

77 feet above the ground.

Step-by-step explanation:

After going up 11 flights, (5 +6), he goes down 8, which brings you to 3 and then back up to 7 (3 +4). Since each story is 11 feet high, you multiply 7 and 11, to get a total of 77.

Answer:

To solve this problem you must apply the procedure shown below:

1. You have that ladder measures 10 foot and forms and angle of 70 degrees with the ground.

2. Therefore, you have:

Sinα=opposite/hypotenuse

α=70°

opposite=x

hypotenuse=10

3. When you substitute the values, you obtain:

Sin(70°)=x/10

4. Now, solve for x, as following:

x=(10)(Sin(70°)

x=9.39 feet

Therefore, the answer is: 9.39 feet.

Step-by-step explanation:

2/26  that is the answer ok now peace

Answer:

452 m

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

=14 + 6^2 ÷ (-4)

=14 + 36 ÷ (-4)

divide 36 by -4

=14 + (-9)

=14 - 9

=5

Answer:

b

Step-by-step explanation:

<ABC refers just to angle B. Angle B is on the opposite side of 98 therefore we would have to divide it by two. 98 divided by 2 is 49

Answer:

circle and two lines that don't touch and are the same length are parrarell

Answer:

The answer is A

Step-by-step explanation:

This I because the area of a square is =

(length of on side)² = l²

The options there are not perfect squarss except A

which is 64 in²

And we know that 8² will give you 64

so then it means one side is 8 in

So the area =

8² = 8 in × 8 in = 64 in²

Answer:

Hello! answer: 1/6

Step-by-step explanation:

The probability of landing on D is 1/6 because there are 6 spots on the spinner you can land on A, B, C, D, E, and F and there is only 1 section labelled "D" therefore the probability of landing on D is 1/6 hope that helps!

Answer: keith

Step-by-step explanation:

The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

p = 6d

p = 5d + 15

Since we know that,

A system of equations is the set of equations in which the finite set of equations is present for which the common solution is sought.

Two students are reading a book.  Keith reads 6 pages a day.

The equation for Keith, where d for days and p for pages can be given as,

p = 6xd

p = 6d

Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,

p = 5xd + 15

p = 5d + 15

Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

p = 6d

p = 5d + 15

Learn more about the system of equations here;

brainly.com/question/13729904

#SPJ2

Answer and Step-by-step explanation:

Scale factor of 4

x, y: (3, 10)

Translate 3 units right, up 10 units.

#teamtrese #PAW (Plant aNd Water)

Answer:  I believe it's (x-1) 2+(y-1) 2=13

Answer:

the question in the parenthesis

Step-by-step explanation:

because thats how the order of operations work

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

y = 1/2x + b

1 = 1/2(5) + b

1 = 5/2 + b

-3/2 = b

Answer:

y=1/2x-3/2

Step-by-step explanation:

y-y1=m(x-x1)

y-1=1/2(x-5)

y-1=1/2x-5/2

y=1/2x-5/2+1

y=1/2x-5/2+2/2

y=1/2x-3/2

Answer:

Ok so the probability  would be 16%(can be round to)

Step-by-step explanation:

Answer:

The answer is 136 .

Answer:

a) C = 75n +60

b) see graph

c) 210

Step-by-step explanation:

75 n -C + 60 = 0

Add C to each side

75 n -C + 60  + C = 0+C

75 n  + 60 = C

Rewritng

C = 75n +60

This is in slope intercept form where y = mx+b

75 = m and 60 =b

See the graph

The slope is 75 and the y intercept is (0,60)

The scale is 1 on the n axis  ( time) and 100 on the C axis (cost)

Let n be two hours

Cost = 75(2) +60

        =150 +60

          =210

The equation for the given circle is:

[tex]x^2 + y^2 + 4x + 6y - 3 = 0[/tex]

Remember that for a circle whose center is (a, b) and has a radius r, the equation is:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex]

In this case, the center is (-2, -3) and the diameter is 8 units, so the radius is r = 4.

Then the equation is:

[tex](x + 2)^2 + (y + 3)^2 = 4^2[/tex]

Expanding the squares we get:

[tex](x^2 + 2*2*x + 4) + (y^2 + 2*3*y + 3^2) = 16\\\\x^2 + y^2 + 4x + 6y + 4 + 9 - 16 = 0\\\\x^2 + y^2 + 4x + 6y - 3 = 0[/tex]

So the correct option is the third one.

If you want to learn more about circles:

https://brainly.com/question/1559324

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Answer:

59

Step-by-step explanation:

Answer:

The mean of this data set is 10.6

Step-by-step explanation:

To find the Mean of a data set, you add up all the values and then divide by the number of values.

3 + 4 + 6 + 7 + 10 + 15 + 19 + 21 = 85

This data set has 8 values.

85 ÷ 8 = 10.6

Answer:

a. 15%

b. .73

c. 39/100, .39

d. .04, 4%

e. 77/100, 77%

f. 46/100, .46

g. .5, 50%

h. 6/100, 6%

i. 80/100, .8

j. .26, 26%

Step-by-step explanation:

Let's do the Fraction to Percent part first. Since all of the fractions have 100 in the denominator, this should be easy. The first one is 15/100 so this is just 15%, the next one is 73/100 and you can see that it is just 73%. It is the same way going from Percent to Fraction. On part f, we have 46%, so this will be 46/100.

For decimals, I recommend getting the percent first. I will use part f as my example again. You start with 46%. To make this a decimal, you just move the decimal point two spaces to the left. So, you end up with 0.46. To go from decimal to percent, you just move the point 2 spaces to the right.

Answer:

100,000

Step-by-step explanation:

I'm pretty sure. hope this helped <3 also I LOVE UR PFP ;)