If ; gallon of paint covers ; of a wall, then how many
quarts of paint are needed for the entire wall?

Answer:

Since you have 3 local extremas, you will have a polynomial function of degree 4.  The domain of the function is [0, 4].

Use these initial conditions as your guidelines:

f(0) = 250

f(x) has at least one x-intercept (crosses the x-axis) and must be in the interval (0, 4].

f(x) decreases in any of the following intervals: (0, 1) or (2, 3)

Remember, you will have an arbitrary function that satisfies these conditions.

Step-by-step explanation:

I did :Your coaster ride must have at least 3 relative maxima and/or minima

Answer:

Jayden has 13 pairs of gloves.

Step-by-step explanation:

2 packages multiplied by 5 pairs = 10

10 pairs plus 3 pairs he already had

= 13 pairs of gloves total  

Answer:

1) 8

2) 450 ft^2

Step-by-step explanation:

Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.

The left over space in the store is the same amount of space as all the cameras space added together since each camera takes up half a square. That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the left over space, 450 ft^2.

1) The cameras will be necessary to cover the entire store are 8

2) The area  left uncovered is 450 ft^2

Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.

The area of the triangle is

[tex]=\frac{1}{2}\times height \times base[/tex]

The leftover space in the store is the same amount of space as all the camera's space added together since each camera takes up half a square.

That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the leftover space, 450 ft^2.

1) The cameras will be necessary to cover the entire store are 8

2) The area  left uncovered is 450 ft^2

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Answer:

1/5

Step-by-step explanation:

rise = 2 ft

run = 10 ft

slope = rise/run = 2/10 = 1/5

Answer: 1/5

Answer:

1/5

Step-by-step explanation:

The slope is the rise over the run

Y / x

2/10

1/5

The slope of the line of the graph is given by the ratio of the change in y-

coordinates to the change in the x-coordinates of the line.

The statement that is true about the slope of the line is; it is  [tex]\dfrac{1}{2}[/tex] throughout

the line.

Reasons:

The given parameter are;

The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)

Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)

Points on the leg of the right triangle = (0, 0) to (4, 0)

Points on the second leg of the right triangle = (4, 0) to (4, 2)

Second right triangle;

Points on the hypotenuse = A(4, 2) to B(6, 3)

One leg of the right triangle extends from (4, 2) to (6, 2)

Second leg extends from  (6, 2) to (6, 3)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]

[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]

Therefore;

The slope is [tex]\dfrac{1}{2}[/tex] throughout the line

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Answer:

Step-by-step explanation:

total # of families=15

families that own 0 cars=2

families that own 1 cars=5

families that own 2cars=4

families that own 3 cars=3

families that own 4 cars=1

so 2+5+4+3+1=15

total# of families/ sum of cars = 15/15=1

Answer:

$17.55

Step-by-step explanation:

Answer:

17.55

Step-by-step explanation:

You will pay $17.55 for a item with original price of $27 when discounted 35%. In this example, if you buy an item at $27 with 35% discount, you will pay 27 - 9.45 = 17.55 dollars

Answer:

a.)A and B are the intersection between the two curves. The x coordinate is the equation

[tex]f(x) = g(x)[/tex]

Let's solve it

[tex]\frac12 (x-2)^3 +1 = 2x^2-6x-3\\x^3-6x^2+12x-8+2=4x^2-12x-6\\x^3-10x^2+24x=0\\x(x^2-10x+24)=0\\x(x-4)(x-6)=0[/tex]

We can see that if we substitute x= 0 or x= 4 the equation is verified.

b. The equation has a third solution, x = 6, that is too far to the right to be visible in the graph.

c. the x coordinate of C is the solution of [tex]f(x)=0[/tex] or [tex]\frac 12 (x-2)^3 +1=0\\(x-2)^3 = -2\\(x-2) = -\sqrt[3]2[/tex]

At this point let's guesstimate the cubic root of 2 -let's say the cubic root of 2 is equal to 1plus an error e, and since we know how to calculate the cube of a binomial, let's build it.

[tex](1+e)^3 = 2 \rightarrow 1+3e+3e^2+e^3 = 2[/tex] Now, assuming the error is small enough, it's square and its cube gets even smaller. (if the error is 0.1, it's square becomes 0.01 and the cube 0.01), let's ignore them. [tex]1+3e=2 \rightarrow 3e=1 e= \frac13[/tex] So, going back to our equation, we can tell that the right hand side is [[tex]\mathbb{R}[/tex]]-(1+\frac13)[/tex] Not perfect, but good enough. Let's solve it now.

[tex]x-2= -1-\frac13 \rightarrow x=1-\frac13 = \frac23[/tex]

Which seems close enough from the photo.

c. Domain of both function are the whole Real set, since they're polynomials. Range of f(x) is again the whole real set, since it's an odd degree polynomial. g(x) is a parabula and its range is for y above the vertex y-coord, which is [tex]y>g(\frac32) = 2(\frac94)-6(\frac32)-3 = \frac92 -3(\frac62) -\frac62 = \frac92-4\frac62= -\frac{24-9}2 = -\frac{15}2[/tex]

Answer:

54.28 cm²

Step-by-step explanation:

Area rectangle = 10 x 4 = 40 cm²

Area semicircle = 1/2(π(2²)) = 1/2(π(4)) = 2π ≈ 6.28 cm²

Area triangle = 1/2(4 x (10-14)) = 1/2( 4 x 4) = 2 x 4 = 8 cm²

Total Area = 40 cm² + 6.28 cm² + 8 cm² = 54.28 cm²

-Chetan K

Answer:

5 bags

Step-by-step explanation:

if eight people each want four jellybeans you can multiply eight by four and get 32 jelly beans

this is the amount they need: 32

so we divide 32 by 7 to find out how many bags we need

32/7 is 4.57... so we need 5 bags because you cannot order half a bag

Answer:

45 miles per hour.  270 divided by 6 is 45 there.

Step-by-step explanation:

Answer:

the answers are below

Step-by-step explanation:

1: 4

2: 3 and they are 8ab, 3b, and 4a

3: 16

Answer:

8 a b - 4 a + 3 b + 16. Simplify: 8 a b - 4 a + 3 b + 16 Answer: 8 a b - 4 a + 3 b + 16

Step-by-step explanation: Coefficient is any of the factors with the sign of the term. ... The given algebraic expression has three terms, namely, 4a 4b2c – 3a3b2c and 3/2 ab3c2

Answer:

x=-29/24

y=3/8

Step-by-step explanation:

3x-9y= -7 ---A

2y-6x= 8----B

multiply eq A by 2

6x-18y=-14

-6x+2y=8

Add both equations, so you eliminate x since 6x+(-6x) = 0

-18y+2y= -16y

-14+8=-6

so you have

-16y=-6

y=3/8

now substitute this back to eq B, (you can use eq A as well if you like)

2(3/8)-6x=8

3/4-6x=8

-6x=29/4

x=-29/24

Answer:

y=3x-1

Step-by-step explanation:

The y-intercept is at -1 if you go down 3 left 1, and then down 3 left 1 again and you are left at (0,-1)

Answer: 4

Step-by-step explanation:

Answer: How would i know what im calculating?

Step-by-step explanation:

Answer:

Its A=2.38

Step-by-step explanation:

6cup=558 gram

1cup=558/6

1cup=93 gram

13gram*17kg=221gram

221/93=2.38

Answer:D

Step-by-step explanation:

The equation is y=mx+b. Here the slope is 1/5 and b is 5

Answer:

D

Step-by-step explanation:

Y intercept is +5

Slope is going up one and over five, so 1/5.

y=1/5x+5

Answer:

???

Step-by-step explanation:

Answer:

4x - 7

Step-by-step explanation:

x + 2x + 3x - 2x = 4x

-8 + 1 = -7

The simplified expression is 4x -7.

A fine operation similar as deduction, addition, addition, or division is used to combine terms into an expression. In a fine expression, the following terms are used.

Given:

Expression:  x+2x –8+3x+1 –2x

Now, simplifying the expression by taking like terms along.

x+2x –8+3x+1 –2x

= x+ 2x - 2x + 3x - 8 + 1

= x(1 + 2 - 2 + 3) -7

= x( 4) -7

= 4x -7

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Supplementary angles sum up to 180°. Take the missing angle as 'x'.

148 + x = 180

x = 180 - 148

x = 32°

=》 Angle ABD = 32°

_________

Hope it helps!

RainbowSalt2222 ☔

Answer:

32 degrees

Step-by-step explanation:

Hi there!

Angle ABC measures 180 degrees since it's a straight line.

To find angle ABD, we simply subtract the given angle that measures 148 degrees from 180:

180-148 = 32

Therefore, angle ABD measures 32 degrees.

I hope this helps!

Answer:

thanks

Step-by-step explanation:

Answer:

1 watch cost 19,200 (76800/4=19200)

9 watches cost 172,800 (9×19200=172800)

Step-by-step explanation:

Answer:

$172.8

Step-by-step explanation:

divide 76.800 by 4 to figure out how much each watch cost. Than once you got that answer multiply by 9 to find out the cost of 9 watches

76.800÷4= 19.2

19.2×9= 172.8

(2m + n) (2n -m)

2m×2n-2m×m+n×2n-mn

4mn-2m^2 +2n^2-mn

4mn-mn-2m^2+2n^2

3mn-2m^2+2n^2

Answer:

kk

Step-by-step explanation:

Answer:

4 2/15

Step-by-step explanation:

Convert both fractions to have the same denominator. Find the LCM of 3 and 5 and multiply by what you need to get there. 1x5=5, 3x5=15, so 1/3 becomes 5/15, and 1x3=3, 5x3=15, so 1/5 becomes 3/15. Finally, do normal subtraction, to get 4 2/15.

[tex]f(a) = -4a +6a^3 - 15 -4a^2 \\\\\text{By the remainder theorem,}\\\\f\left(\dfrac 53 \right) = -4\left(\dfrac 53 \right) + 6 \left( \dfrac 53 \right)^3 - 15 - 4 \left(\dfrac 53 \right)^2 = -5\\\\\\ \text{Hence}~-5~ \text{is the remainder when f(a) is divided by}~ 3a -5[/tex]

[tex]\\ \sf\longmapsto 3a-5=0[/tex]

[tex]\\ \sf\longmapsto 3a=5[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{5}{3}[/tex]

Using remainder theorem

[tex]\\ \sf\longmapsto f(a)=-4a+6a^2-4a^2-15[/tex]

[tex]\\ \sf\longmapsto f\left(\dfrac{5}{3}\right)[/tex]

[tex]\\ \sf\longmapsto -4(5/3)+2a^2-15[/tex]

[tex]\\ \sf\longmapsto -20/3+2(5/3)^2-15[/tex]

[tex]\\ \sf\longmapsto -20/3+2(25/9)-15[/tex]

[tex]\\ \sf\longmapsto -20/3+50/9-15[/tex]

[tex]\\ \sf\longmapsto (-60+50)/9-15[/tex]

[tex]\\ \sf\longmapsto -10/9-15[/tex]

[tex]\\ \sf\longmapsto -10-135/9[/tex]

[tex]\\ \sf\longmapsto -145/9[/tex]

[tex]\\ \sf\longmapsto 16\dfrac{-5}{9}[/tex]

Remainder=-5

Answer:

y=-2x-7

Step-by-step explanation:

To find the slope intercept form:

y+mx+b

m is the slope and b is the y-intercept.

We can take the first two points and find the slope by:

[tex]\frac{y2-y1}{x2-x1}[/tex] ->

[tex]\frac{-5-3}{-1- - 5}[/tex] = -2.

That’s the slope.

For the y-intercept we solve the equation:

y=−2(−5)+b -> b = -7

now we have the slope and y-intercept so the equation is:

y=-2x-7

Hope that helps!

Answer:

I don't know it's very hart