How many whole groups can you fit into 51?

Answer:  [tex]y < -\frac{1}{2}x+3[/tex]

This is the same as writing y < (-1/2)x+3

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

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

m = (y2-y1)/(x2-x1)

m = (1-3)/(4-0)

m = -2/4

m = -1/2

The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing [tex]y = -\frac{1}{2}x+3[/tex]

We shade below the dashed line to represent the inequality [tex]y < -\frac{1}{2}x+3[/tex]. Points in the shaded region are solutions to the inequality. One example point is (0,0).

Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.

Answer:

7 : 6 is the ratio

Step-by-step explanation:

14 apples were green and 12 apples were red, so divide both terms by 2.

14 ÷ 2 = 7

12 ÷ 2 = 6

Therefore:

14 : 12 = 7 : 6.

Answer:

Below in bold.

Step-by-step explanation:

Using the quadratic formula :

roots =  [-16 +/-√(16^2 - 4*16*5)] / (2*16)

= -0.5 +/- √(-64) /32

= -0.5 +/- 8i/32

= -0.5 + 0.25i and -0.5 - 0.25i

[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]

[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]

[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]

Answer:

4s²

Step-by-step explanation:

The area is made up of four squares each of side s . The area of one square will be s*s = s² .

Hence the area of 4 such squares will be 4*s² = 4s²

Your choice is correct .

Answer:

1200

Step-by-step explanation:

A difference of 2 squares factors in general as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

The correct answer is 1200.

Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.

A difference of 2 squares factors in general is written as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

Learn more about the difference of 2 squares here https://brainly.com/question/3189867

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[tex]\\ \sf\longmapsto 5sin^2x=sinx[/tex]

[tex]\\ \sf\longmapsto \dfrac{5sin^2x}{sinx}=\dfrac{sinx}{sinx}[/tex]

[tex]\\ \sf\longmapsto 5sinx=1[/tex]

[tex]\\ \sf\longmapsto sinx=\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto sinx=0.2[/tex]

[tex]\\ \sf\longmapsto x=sin^{-1}(0.2)[/tex]

[tex]\\ \sf\longmapsto x=11.53[/tex]

Answer:

d = 64 feet

Step-by-step explanation:

Given that d is directly proportional to t² then the equation relating them is

d = kt² ← k is the constant of proportion

To find k use the condition t = 8 , d = 1024 , then

1024 = k × 8² = 64k ( divide both sides by 64 )

16 = k

d = 16t² ← equation of proportion

When t = 2 , then

d = 16 × 2² = 16 × 4 = 64 feet

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent value is ~

[tex] \boxed{17}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Answer:

5/2

Step-by-step explanation:

Y(2)-Y(1)/ X(2)-X(1)

(27-2)/(1-(-9)

25/10

simplified=5/2

Answer:

1. r - 38 = 9

=> r = 9 + 38

=> r = 47

2. h + 17 = 40

=> h = 40 - 17

=> h = 23

3. n + 75 = 155

=> n = 155 - 75

=> n = 80

4. q - 17 = 18

=> q = 18 + 17

=> q = 35

Step-by-step explanation:

Hoped this helped.

Answer:

a=3√2, c= [tex]\frac{3\sqrt{2}}{2}[/tex]

Step-by-step explanation:

First Triangle, this is a 45-45-90 triangle

so the side are 1-1-√2

so if one of the side is 3, you multiply the above by 3

1*3-1*3-√2*3

therefore, a=3√2

Second triangle

this is a 30-60-90 Triangle

so the sides are x-x√2-2x

for this triangle

x√2=6

x=6/√2 --> multiply by √2/√2 --> this gets ride of the √2 in the denominator

x=6√2/4 --> simplify

x=[tex]\frac{3\sqrt{2}}{2}[/tex]

therefore, c=[tex]\frac{3\sqrt{2}}{2}[/tex]

Answer:

$374.55 - $94.95 = $279.60 = N

$34.95 x 8 = $279.60

N=8

Step-by-step explanation:

Answer:V≈3820.18m3 the best i got

Step-by-step explanation: V=πr2h=π·82·19≈3820.17667m³ i hope this helps

Given :-

To Find :-

Solution :-

As we can see that the given figure is made up of a parallelogram and a ∆ . As we know that the opposite sides of a parallelogram are equal . So that the base of the ∆ would be 9cm . Now ,

[tex]\longrightarrow[/tex] Area = ar(||gm ) + ar(∆)

[tex]\longrightarrow[/tex] Area = (9*5 + 1/2*8*9)cm²

[tex]\longrightarrow[/tex] Area =( 45 + 45 ) cm²

[tex]\longrightarrow[/tex] Area = 90cm²

Hence the area of the given figure is 90cm² .

Answer: x = 0

Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.

Answer:

2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hello there! :)

30*11*11

3,630

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

x(2x-1)=0

3x-1x=0

2x=0

x=0/2

x=0

Step-by-step explanation:

LCM

first term =3x

=3×x

second term = 4x²y

=2×2×x×x×y

third term =x(x+1)

LCM=x

Answer:

djeuiiuhjjjcjffvgbftvkrfjjjjjrjrjrjjnnrnrf

Answer: domain and range is the set of values that we are allowed to plug into our function.

Step-by-step explanation:

Answer:

34.482 is the answer to your question

Answer:

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Step-by-step explanation:

Juan made more because he makes $14.80 an hour, whereas Lisa makes only $14 an hour.

Enjoy your day! :D

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

Answer:

C. y= 3(x + 2)^2 + 2

Step-by-step explanation:

A. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , − 2 )

B. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

C. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

D. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , 2 )

Answer: shoulb be to the thirs 4/8

Step-by-step explanation:

Answer:

8 cans for 9$

Step-by-step explanation:

buy 8 cans for 9$

The 8 cans for $9 is better than six cans for $7.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We need to find better buy six cans for $7 or 8 cans for $9.

Let's find the unit rate of both the quantitites;

six cans for $7

Then one can = 7/6 = 1.16

Therefore, 8 cans for $9.

one can = 9/8 = 1.125

Hence, the  8 cans for $9 is better than six cans for $7.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

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Answer:

4

Step-by-step explanation:

yeah-ya........ right?

The perimeter of the triangle is 2(12c - 7).

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.

Perimeter = 7c - 5 + 7c - 5 + 10c - 4

24c - 14

2(12c - 7)

To learn more about a triangle, please check: https://brainly.com/question/9329354

Answer:

56 total units

Step-by-step explanation:

Here is what the plane would look like if the figure and points were drawn.

Answer:

Step-by-step explanation:

Plot the points and connect.

Note. If you connect the points in the given order you will end up with a weird figure hence we connect as pictured.

Horizontal sides sum to:

Vertical sides sum to:

The perimeter is:

Answer:

Step-by-step explanation:

Use ratios and solve:

Answer:

(–4)(9)

(6)(–6)

(6)(6)(–2)

Step-by-step explanation:

(–4)(–9)(2)

=36(2)

=72, No

(–4)(9)

=-36, Yes

(6)(6)(–2)

=36(-2)

=-72, Yes

(–6)(–6)

=36, No

(6)(–6)

=-36, Yes