If it takes Louie 120 minutes to cut 4 lawns, how long would it take him to mow 7 lawns

Answer:

Transformations of f(x) = ⅙(-2x + 1)² + 4:

Answer:

Shorter leg=3

Longer leg=4

Step-by-step explanation:

Equations

In a right triangle, Pythagora's Theorem is satisfied. Being a the hypotenuse, b and c the legs of the triangle, then:

[tex]a^2=b^2+c^2[/tex]

Let's call

x=the shorter leg of the triangle

The longer leg is 1 cm longer than the shorter leg, thus:

x+1=the longer leg.

Since the hypotenuse is 5 cm long:

[tex]5^2=x^2+(x+1)^2[/tex]

Operating:

[tex]25=x^2+x^2+2x+1[/tex]

Swapping sides and simplifying:

[tex]2x^2+2x+1=25[/tex]

Subtracting 25:

[tex]2x^2+2x-24=0[/tex]

Dividing by 2:

[tex]x^2+x-12=0[/tex]

Factoring:

[tex](x-3)(x-4)=0[/tex]

We have two possible solutions:

x=3, x=4

The longer leg is x+1.

If x=3, x+1=4

If x=4, x+1=5. This solution is not valid because one leg would be equal to the hypotenuse.

Thus, the solution is:

Shorter leg=3

Longer leg=4

Answer:

0

Step-by-step explanation:

Answer:

A not similar

Step-by-step explanation:

72 × 2 = 144

78 × 2 = 156

Answer:

The Graph Shifts 4 units up

Step-by-step explanation:

Okay so, when you add four to a graph in this manner we have to look at the equation as a whole. f(x)=mx+b + 4. By adding four we are changing the y-intercept and shifting it up four. This will cause the entire graph to shift upwards four spaces.

Answer:

[tex]y>3g+5d[/tex]

Step-by-step explanation:

Answer:(x +3)

Step-by-step explanation:

F. L. (x + 3) (x – 5)= x · x + (–5) · x + 3 · x + (–3) · 5. I. First. Outer Inner. Last. O. = x 2 – 5x + 3x – 15 ... Suppose Monica's current office is 7 feet by 7 feet. How much ... 12 in. c in. 36 ft. 15 ft c ft ? ft. 30 ft. 15 ft. 2 m. 4 m b m. 882 Prerequisite Skills ... Number of. Sit-Ups. Frequency. 0–4. 8. 5–9. 12. 10–14. 15. 15–19. 6. 20–24. 18.

Answer:

Min value of F = 24

It happens when m = 3 and a = 4.

==========================================================

Explanation:

Start with ma = 12 and Solve for 'a'  to get a = 12/m

Plug it into the other equation to get

F = 3a + 4m

F = 3(12/m) + 4m

F = 36/m + 4m

F = 36/m + (4m^2)/m

F = (36+4m^2)/m

The equation above is in the form F = a/b where a = 36+4m^2 and b = m

Applying derivatives to each piece gives a' = 8m and b' = 1

So,

F = a/b

F ' = (a/b)'

F ' = (a' * b - a * b')/(b^2) .... quotient rule

F ' ( 8m*m - (36+4m^2)*1 )/(m^2)

F ' = (8m^2 - 36 - 4m^2)/(m^2)

F ' = (4m^2 - 36)/(m^2)

---------------------

The minimum of F occurs when F ' = 0

F ' = 0

(4m^2 - 36)/(m^2) = 0

4m^2 - 36 = 0*m^2

4m^2 - 36 = 0

4m^2 = 36

m^2 = 36/4

m^2 = 9

m = sqrt(9) or m = -sqrt(9)

m = 3 or m = -3

Keep in mind that m > 0, so we ignore m = -3

---------------------

Next we'll use the first derivative test. I find it's easier compared to the second derivative test because we don't have to do another derivative.

The function F(m) = (36+4m^2)/m has a potential min point at m = 3.

To see if we have an actual min point or not, we need to check the sign of F ' (m) when m = 2 and m = 4; that way we see if F ' (m) changes sign as we pass through m = 3.

First compute the derivative when m = 2

F ' (m) = (4m^2 - 36)/(m^2)

F ' (2) = (4(2)^2 - 36)/(2^2)

F ' (2) = (4*4-36)/(4)

F ' (2) = (16-36)/(4)

F ' (2) = -20/4

F ' (2) = -5

The actual value doesn't matter. All we're after is the sign of it. So we see that F ' (2) is negative which means we know that F(m) is decreasing when 0 < m < 3

Now let's try m = 4

F ' (m) = (4m^2 - 36)/(m^2)

F ' (4) = (4(4)^2 - 36)/(4^2)

F ' (4) = (4*16-36)/(16)

F ' (4) = (64-36)/(16)

F ' (4) = 28/4

F ' (4) = 7

This value is positive, so F(m) is increasing on the interval 0 < m < infinity

F(m) decreases on 0 < m < 3 and increases on  3 < m < infinity

So the F function goes downhill and then goes back uphill, and this lowest valley point is when m = 3

So we've confirmed that F(m) does indeed have a min value at m = 3.

Making a sign chart or interval might help visualize it.

---------------------

Now onto the last part.

Plug m = 3 into F(m) to find the min value of F

F = (36+4m^2)/m

F = (36+4*3^2)/3

F = (36 + 4*9)/3

F = (36 + 36)/3

F = 72/3

F = 24

The smallest F can get is 24 and it happens when m = 3 and a = 12/m = 12/3 = 4.

------------------------------

Side note: A non-calculus approach would have you graphing y = (36+4x^2)/x, and then using the graphing calculator to find the lowest point in the first quadrant. We're in this quadrant since a, m and F are all positive.

Answer:

1359.24

plz mark brainly

Step-by-step explanation:

Answer:

The value of x is 37.36

Step-by-step explanation:

The given triangle is a right-angled triangle where

Base = 25

Angle = 48°

Hypotenuse = x

As the triangle is a right angled triangle, trigonometric ratios can be used to find the missing value. We can use a ratio which uses base and hypotenuse.

[tex]cos\ 48 = \frac{base}{hypotenuse}\\cos\ 48 = \frac{25}{x}\\0.6691 = \frac{25}{x}\\x = \frac{25}{0.6691}\\x = 37.36[/tex]

Hence ,

The value of x is 37.36

Answer: it’s b because if you times that by anything it will always be a product I think

Step-by-step explanation:

Answer:

212

Step-by-step explanation:

Answer:

(- 2x , - 2y)

Step-by-step explanation:

A(x, y) ----> A' (kx, ky)

~~~~~~~~

H(- 1 ,1) ----> [k(- 1), k(1)] ----> G(2, - 2) ⇒ k = - 2

M( - 1.5, - 4) -----> [(- 2)(- 1.5) , (- 2)(- 4)] ------> R(3. 8)

k = - 2

Thus, the rule of dilation centered in origin is (- 2x , - 2y)

Answer:

$142.86

Step-by-step explanation:

In order to know the original price of the sound bar, it is best to write the problem above into a mathematical sentence first.

Given: $30 = the amount you were able to save

          21% = the discount (this means that $30 is the 21% discount)

Let x be the original price of the sound bar.

The mathematical sentence is:

$30 is 21%(0.21) of x

x=[tex]\frac{30}{0.21}[/tex]

x= $142.857 or $142.86 (once rounded off to the nearest hundredths)

So, the original price of the sound bar before the discount is $142.86

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[tex]x + 4 = 48[/tex]

Subtract sides 4

[tex]x +4 - 4 = 48 - 4[/tex]

[tex]x = 44°[/tex]

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Answer:

answer is 15 cm²

plz give me the brainliest

Answer:

height = 6 cm

Base  = 10 cm

Step-by-step explanation:

Let height  = h cm

Base           = h + 4

Area of triangle  = 30 cm²

       [tex]\frac{1}{2}bh = 30\\\\\frac{1}{2}*( h + 4) *h = 30\\[/tex]

Multiply the equation by 2

(h + 4) * h = 30*2

h*h + 4*h = 60

h² + 4h = 60

h² + 4h - 60 = 0

Product = -60

Sum  = 4

Factors = 10, (-6)

h² + 10h - 6h - 6 * 10 = 0

h(h + 10) - 6(h + 10) = 0

(h +10)(h - 6) = 0

{Ignore h + 10 = 0 because measurements will not be in negative}

h - 6 = 0

    h = 6 cm

    b = 6 + 4 = 10 cm

Answer:

The volume would increase.

Step-by-step explanation:

The substance could move freer than that of before.

Answer:

5 4/7 feet

Step-by-step explanation:

Answer:  11:55 I hope this helps Have a nice day

Step-by-step explanation:

Answer:

I would say get a small ruler thing and measure them off your screen and say (*Measure off my screen*), then say the distance the dots are from the center point is the same because those dots, when connected to the center point, makes the radius, and the radius stays the same around the circle.

Answer:

There are 24 right handed students

Step-by-step explanation:

This is a ratio question so it would be represented as 1:4.

First you would do 1 + 4 which is 5.

Then do 30 ÷ 5 which is 6.

Finally multiply 6 by 4 and 1.

So 6 × 4 × 1 is 24.

So there are 24 students who are right handed.

Hope this makes sense!

Answer:

B) y=x/6 is the linear equation

Step-by-step explanation:

a) y=x^6 is a quadratic equation

c) y=6/x is a rational equation

d) y=|x+6| is a absolute value equation

Answer:

B is linear.

Step-by-step explanation:

You can plug the equations into y= or your calculator and compare the graphs

Answer:

90min

Step-by-step explanation:

we can solve the first part by means of the rule of three:

5.3miles ----2.5 hour

3.18miles----x

then

[tex]x=\frac{3.18*2.5}{5.3} \\x=\frac{7.95}{5.3} \\x=1.5 hours[/tex]

Now we must convert hours to minutes:

1.5 hours = 1.5hours (1)

1.5 hours =1.5 hours [tex]\frac{60min}{1 hours}[/tex]

1.5 hours =(1.5)(60) min

1,.5 hours =90min

Answer:

20 tickets each will have to bought with fast pass so that the total cost is equal to that of each other.

Step-by-step explanation:

Entry fee for The Great Adventure theme park = $15

Charge for fast pass at each ride = $1.50

Entry fee for The Big Thicket amusement park = $15

Charge for fast pass at each ride = $1.00

Let the number of ride tickets purchased with Fast pass = [tex]x[/tex]

As per question statement, the total cost at each will be equal to that of each other.

Writing in the equation form, we get:

$15 + $1.50 [tex]\times[/tex] [tex]x[/tex] = $25 + $1.00 [tex]\times[/tex] [tex]x[/tex]

[tex]\Rightarrow 1.50x -1.00x = 25 -15\\\Rightarrow 0.50x = 10\\\Rightarrow x = 20[/tex]

Therefore, 20 tickets each will have to bought with fast pass so that the total cost is equal to that of each other.

Answer:

4000

Step-by-step explanation:

divide 1.5% by 100 to remove the % symbol: 0.015

set you equation: 0.015x = 60

divide both sides by 0.015: x = 4000

Answer:

4000

I checked on RSM system

Answer:

i believe it is 2 1/2 also know as 2.50

Step-by-step explanation:

Answer:

A-F parallel to B-D

B-A parallel to D-F

B-F parallel to C-E

Step-by-step explanation:

Line segment A-F is parallel to B-D

Line segment B-A is parallel to D-F

Line segment B-F is parallel to C-E

Answer:

PA is equal to PB

now apply distance formula root under x2-x1whole square plus y2-y1 whole square...do the same in another side ,put the values you will get the and.