GOAL: Your goal is to create a collage out of real life scenario that involves one of the different kinds of variation. Create a collage showing how variation can be applied in the current situation in the world right now. ROLE: Artist AUDIENCE: Art Enthusiast SITUATION: You have participated in a contest and must make an artwork with a theme: “MATH IN THE NEW NORMAL: ADOPTING, CONNECTING AND ENJOYING”. As an aspiring artist you are going to show people how variation is important in real life. PRODUCT: Collage with problems and solution involving variation STANDARD FOR ASSESSMENT: Clarity, Accuracy and Creativity

[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]

Answer:

Graph attached

Step-by-step explanation:

The sum of polynomials involves adding the polynomials

The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

The sum of the polynomials is given as:

[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]

One of the polynomials is given as:

[tex]P = 4y^2 - 3[/tex]

Represent the other polynomial with Q.

So, we have:

[tex]P +Q =Sum[/tex]

Substitute the expressions for P and Sum

[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]

Make Q the subject

[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]

Evaluate like terms

[tex]Q =y^3 -y^2+ 4y - 1[/tex]

Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

Read more about polynomials at:

https://brainly.com/question/1487158

Answer:

  C)  x^5/2 +6x^3/2 +1

Step-by-step explanation:

The relevant rule of exponents is ...

  a^b/a^c = a^(b-c)

__

  [tex]\dfrac{x^3+6x^2+x^{1/2}}{x^{1/2}}=x^{3-1/2}+6x^{2-1/2}+x^{1/2-1/2}=\boxed{x^{5/2}+6x^{3/2}+1}[/tex]

[tex]y = x-5~~....(i)\\\\y =x^2-5x+3~~.....(ii)\\\\\text{Substitute}~ y= x-5 ~\text{in equation (ii):}\\\\x-5 = x^2 -5x +3\\\\\implies x^2 -5x -x +3 +5 =0\\\\\implies x^2 - 6x + 8 =0\\\\\implies x^2 --4x -2x +8 =0\\\\\implies x(x-4) -2(x-4) =0\\\\\implies (x-4)(x-2)= 0\\\\\implies x =4~~ \text{or}~~ x = 2\\\\\text{Substitute x = 4 in equation (i):} \\\\y = 4-5 = -1\\\\\text{Substitute x = 2 in equation (i):} \\\\y = 2-5 = -3\\\\\text{Hence,}~ (x,y) = (4,-1)~ \text{and}~ (x,y) = (2,-3)}[/tex]

Answer:

c

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=56

b=-3

y=56x-3

Answer:

X = 7

Explanation

2x-6=8

2x=6+8

2x=14

2x/2 = 14/2

x = 7

Answer:

x=4.225

Step-by-step explanation:

You can use your trigonometric ratios to help you solve this problem. We have the hypotenuse and the angle that the triangle makes with the adjacent side. X is the adjacent side of this problem, therefore we need to take the cosine of this angle (remember SOHCATOA, Sine: Opposite/Hyp, Cosine: Adjacent/Hyp, and Tan: Opp/Adj) using this, we can model an equation where Cos(62)=(x/9), in order to solve for x, simply multiply both sides by 9 to get a final answer of 4.225...

Answer:

[tex]x<-4[/tex]

Step-by-step explanation:

[tex]8x-4<-36\\\Add\:}4\mathrm{\:to\:both\:sides}\\8x-4+4<-36+4\\\mathrm{Simplify}\\8x<-32\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{x}:x\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{8}=1\\=x\\Simplify\\\frac{-32}{8} \\[/tex]

Apply the fraction rule

[tex]=-\frac{32}{8}\\Divide\\ \frac{32}{8} = x=-4\\x<-4[/tex]

Answer:

  20%

Step-by-step explanation:

The percentage change is the difference divided by the original amount, expressed as a percentage.

  (30 -25)/25 × 100% = 20%

Production increased by 20%.

Answer:

the second

Step-by-step explanation:

Answer:

0.9 + n = 5.2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

BECAUSE ITS EZ

Answer:

no they are different numbers, however their signs are inverted

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

-2x+3 is not the same as 2x-3 because, let's say we set each equation equal to something...

-2x+3 = 10                   2x-3 = 10

     -3     -3                      +3    +3

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

-2x = 7                        2x = 13

x = [tex]\frac{7}{2}[/tex]                               x = [tex]\frac{13}{2}[/tex]

x = 3.5                           x = 6.5

As we can see, these equations are not the same, because, when we set them equal to the same value, the answers are different.

Hope this helps! :D

Answer:

m=4

Step-by-step explanation:

Answer:

The answer would be 4. It may seem like a lot of steps but its a lot easier then you think haha

Step-by-step explanation:

13-5 = 2m + 5 - 5  (Subtract 5 from both sides of the equation)  

8 = 2m (Simplify)

8/2  = 2m/2 ( Divide both sides of the equation by the same term)

m= 4  (Solution)

Answer:

2.22

Step-by-step explanation:

Answer: A.

Step-by-step explanation:

This is the only option in which the terms are ordered from least to greatest.

Therefore, A is the correct answer.

Answer:

#5 -1.75, 2.5, -0.2

#6 3 1/2, 2 1/4, -1/2

Step-by-step explanation:

Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)

Answer:

2nd option

Step-by-step explanation:

The ratios on both sides must be equal

[tex]\frac{15}{6}[/tex] ( divide numerator/ denominator by 3 )

= [tex]\frac{5}{2}[/tex] ≠ [tex]\frac{3}{2}[/tex] , then not a proportion

[tex]\frac{4}{5}[/tex] ( multiply numerator/ denominator by 3 )

= [tex]\frac{12}{15}[/tex] , this is a proportion

[tex]\frac{9}{21}[/tex] ( divide numerator/ denominator by 3 )

= [tex]\frac{3}{7}[/tex] ≠ [tex]\frac{6}{7}[/tex] , then not a proportion

[tex]\frac{10}{16}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{5}{8}[/tex] ≠ [tex]\frac{2}{8}[/tex] , then not a proportion

Answer:

1. 18/8

2. 16/20

3. 15/28

4. 12/24

Saved:-

[tex]\\ \sf\Rrightarrow 2\dfrac{1}{4}-\dfrac{3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{9}{4}-\dfrac{3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{18-3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{15}{8}[/tex]

[tex]\\ \sf\Rrightarrow 1\dfrac{7}{8}[/tex]

Answer:

[tex]\textsf{D)} \quad 1 \dfrac{7}{8}[/tex]

Step-by-step explanation:

Subtract the used volume of punch from the starting volume of punch.

Convert the mixed number to an improper fraction:

[tex]\begin{aligned} \implies 2\frac{1}{4}-\frac{3}{8} & = \dfrac{2 \times 4+1}{4}-\dfrac{3}{8}\\\\ & = \dfrac{9}{4}-\dfrac{3}{8}\end{aligned}[/tex]

Make the denominators of both fractions the same by multiplying the numerator and the denominator of 9/4 by 2:

[tex]\implies \dfrac{9 \times 2}{4 \times 2}-\dfrac{3}{8} = \dfrac{18}{8}-\dfrac{3}{8}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]

[tex]\begin{aligned} \implies \dfrac{18}{8}-\dfrac{3}{8} & = \dfrac{18-3}{8}\\\\ & = \dfrac{15}{8}\end{aligned}[/tex]

Convert back into a mixed number:

[tex]\begin{aligned}\implies \dfrac{15}{8} & = \dfrac{8+7}{8}\\\\ & = \dfrac{8}{8}+\dfrac{7}{8}\\\\ & = 1\dfrac{7}{8}\end{aligned}[/tex]

Answer:

One pass is $24

Step-by-step explanation:

14+2x=62

-14

2x=48\2

X=24

Answer: The person above's  answer

Step-by-step explanation:

I did the test and it was right

Answer:

y = -2x + 30

Step-by-step explanation:

Firstly, choose 2 coordinates ( I chose [1,28] and [2,,26] ) next use y2-y1/x2-x1 to find your slope, in this case it is -2. Next, take two points and plug them into your equation with your slope to find your b, for this case the b is 30. Put it all together and you get y = -2x + 30

Brainliest would be appreciated. :-)

Answer:

This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out. Hope this helped <3

Answer:

33.3333%

Step-by-step explanation:

Answer:

12/36=0.333+

it decrease

Answer: x = 1

Step-by-step explanation:

Answer:

since m=7 and v=32

p= 7• 32

p= 224

Answer:

There is 11 fish in each fish tank

Step-by-step explanation:

242 total fish

divided into 22 fish tanks

242÷22=11

Draw 11 fish in each of the 22 fish tanks

Step-by-step explanation:

that means he gets 25% of the sales.

he sold 235 dozen roses for $15.50 per dozen.

so, the total sales was

235 × 15.5 = $3,642.50

100% = $3,642.50

25% = 100%/4 = $3,642.50/4 = $910.63 (rounded to cents)

Answer:

  310°

Step-by-step explanation:

The sum of arcs around a circle is 360°.

  MPN +MN = 360°

  MPN = 360° -MN . . . . . . . . subtract MN

  MPN = 360° -50° = 310° . . . fill in the given value

The measure of major arc MPN is 310°.

Answer:

The temperature of the liquid 15 minutes later is [tex]151.5[/tex]

Step-by-step explanation:

This is an example of arithmetic progression

We need to find 15 th term

Here

[tex]a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5[/tex]