Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below. (3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2) = 3y2 – 12y2 = –9y2 Is the student’s work correct? No, she did not multiply –6y2 by 2 correctly. No, she did not add 3y2 and –12y2 correctly. No, she did not use the distributive property correctly. Yes, she multiplied the binomials correctly.

Answer:

Answer is below

Step-by-step explanation:

The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.

Answer:

The correct option is;

pH = 4.1

Step-by-step explanation:

The given information are;

The hydrogen ion [H⁺] concentration in tomato juice = [tex]10 ^{-4.1}[/tex]

The pH of a solution = -㏒{H⁺] =  -㏒( [tex]10 ^{-4.1}[/tex]) = -(-4.1) × ㏒(10) = 4.1

The pH of the of the tomato juice = 4.1

The pH is the term used to refer to the acidity of water with the range of pH values ranging from 0 to 14 where pH values of a solution lesser than 7 are considered acidic while pH values above 7 indicate a basic solution.

Answer:

0

Step-by-step explanation:

If we factor out √5a from the numerator we have √5a * (√4 - √9 + √1) / √5a. √5a cancels out so we are left with √4 - √9 + √1 which equals 2 -  3 + 1 = 0.

Answer:

C

Step-by-step explanation:

Answer:

x ≠ 1.

Step-by-step explanation:

In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.

x - 1 = 0

x = 1

That means that the domain of the function is x ≠ 1.

Hope this helps!

The value of domain is,

⇒ {- ∞, ∞} - {1}

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ y = 3 / (x - 1)

Now, We can find the domain as;

Here, The function is,

⇒ y = 3 / (x - 1)

Hence, Domain is,

⇒ {- ∞, ∞} - {1}

Thus, The value of domain is,

⇒ {- ∞, ∞} - {1}

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Answer:

0.7

if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root

Hope this helps

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

0.49 = 49/100

√(49/100)

√49/√100

7/10

= 0.7

Answer:

1.  A. No

2. A. Yes

Step-by-step explanation:

1. B.   Because the numbers to the left of 7 are smaller than the numbers to the right of 7 on the number line.

2. B. Because to the right side has more numbers than the left side so amber is correct

Answer:

588 units^2

Step-by-step explanation:

To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.

This is 3.5 multiplied by their original measures:

Length = 3.5 x 8 = 28

Width = 3.5 x 6 = 21

Now, area =. LxW = 588 units^2

Hope this helps

Answer:

588 units squared

Step-by-step explanation:

We have a rectangle that has dimensions 8 units by 6 units.

From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:

new length = 8 * 3.5 = 28 units

new width = 6 * 3.5 = 21 units

Given this, we can now calculate the area.

The area of a rectangle is denoted by A = lw, where l is the length and w is the width.

Here, the length is l = 28 and the width is w = 21. Plug these in:

A = lw

A = 28 * 21 = 588

The answer is thus 588 units squared.

~ an aesthetics lover

Answer:

About 8595 students

Step-by-step explanation:

If approximately 9/20 of the students are male, multiplying this by the total number of students enrolled will give a good approximation of the total number of enrolled males. 9/20 * 19100=8595. Hope this helps!

Answer:

8595

Step-by-step explanation:

9/11 is the ratio of male to female

9/20 of students are male and 11/20 are female

If total number is 19100,

then male= 19100*9/20= 8595

Answer:

Answer is option a) 4:5

Step-by-step explanation:

[tex]the \: ratio \: \frac{4}{5} can \: \\ also \: be \: written \: as \: 4 : 5[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

  y = 2x +10

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

Comparing this to the given equation, we see that line s has a slope of -1/2. The perpendicular line t will have a slope that is the negative reciprocal of this:

  m = -1/(-1/2) = 2

Using the above point-slope form equation, we can write the equation of line t as ...

  y -4 = 2(x -(-3))

  y = 2x +6 +4 . . . . add 4, simplify

  y = 2x +10 . . . . equation of line t

Answer:

[tex]\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }[/tex]

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

[tex]f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)[/tex]

So we can say that

[tex]a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}[/tex]

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

[tex](x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab[/tex]

and we can notice that

[tex]a^2+b^2=(a+b)^2-2ab[/tex] so

[tex](x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab[/tex]

it comes

[tex]x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}[/tex]

multiply by 3

[tex]3x^2-20x+2*16+5=3x^2-20x+37[/tex]

Answer:

Step-by-step explanation:

3/4 t = 2/3

Multiply both sides of the equation by 4/3

4/3 * 3/4 t = 4/3 * 2/3

Reduce the numbers with G.C.F 4

1/3 * 3t = 4/3 * 2/3

Reduce the numbers with G.C.F 3

t = 4/3 * 2/3

Multiply the fractions

t = 8/9

Hope this helps...

Good luck on your assignment...

Answer:

[tex]t= \frac{8}{9} \\ [/tex]

Step-by-step explanation:

[tex]3/4t=2/3 \\ \frac{3}{4} t = \frac{2}{3} \\ cross - multiply \\ 3t \times 3 = 4 \times 2[/tex]

[tex]9t = 8 \\ divide \: both \: sides \\ of \: the \: equation \: by \: 9 \\ \frac{9t}{9} = \frac{8}{9} [/tex]

[tex]t = \frac{8}{9} [/tex]

Answer:

11, 17, and 28.

Step-by-step explanation:

[tex]x, y, z\\[/tex]

Lowest number is [tex]x[/tex]

Median is [tex]y[/tex]

Highest number is [tex]z[/tex]

[tex]x=11\\y=17\\\\z-x=17\\z-11=17\\z-11+11=17+11\\z=28\\\\x=11\\y=17\\z=28\\\\11, 17, 28[/tex]

The three numbers are 11 , 17 and 24

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = a

Let the second number be = b

Let the third number be = c

And , the lowest number is 11

So , the value of a = 11

The median is 17

So , the value of the middle number b = 17

Now , the range of the three numbers = 13

So , the maximum value - minimum value = 13

Substituting the values in the equation for range , we get

c - a = 13

c - 11 = 13

Adding 11 on both sides , we get

c = 11 + 13

c = 24

Therefore , the value of a = 11 , b = 17 and c = 24

Hence , The three numbers are 11 , 17 and 24

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Answer: ŷ = 0.96185X + 3.55949

Step-by-step explanation:

From the plot provided : our points are;

(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)

According to relation:

Y = mx +c

Using the online linear regression calculator

ŷ = 0.96185X + 3.55949

The gradient or slope (m) = 0.96185

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

Answer:

-3-7

Step-by-step explanation:

-3-7=10

Answer:

-3 - 7.

Step-by-step explanation:

-3 - 7 = -10.

Answer: x=14

Step-by-step explanation: The total is 180 degrees. The right angle is 90, the given angle is 76, so x is 14.

Answer:

C and D.

Step-by-step explanation:

I am guessing that he wants to find if 2 is a rational number by comparing it to  the fraction [tex]\frac{\sqrt {2}}{1}[/tex]

There are a couple of reasons why Mark is not correct:

1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.

2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.

So, C and D would be correct.

NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.

Answer:

Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.​

Step-by-step explanation:

This is the correct answer

brainliest pls

Answer:

Option (i)

Step-by-step explanation:

{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.

Answer:

Step-by-step explanation:

8c2×6c2=((8×7)/2)×((6×5)/2)=28×15=420

Answer:

90 degrees

Step-by-step explanation:

Answer:

you didn't specify much!

So I am saying they are 45° each and that make the sum of both 90°

Step-by-step explanation:

According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,

Answer:

?=3

Step-by-step explanation:

a= 3/5 b - 7

Answer:

the number that should be in the green box is 3

Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..

7 less than three fifths of b is a gives 3/5b-7=a

Answer:

a=3,b=5

Step-by-step explanation:

[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} } [/tex]

so as you got it:

[tex] \frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5[/tex]

Answer:25

Step-by-step explanation:

Get monkeyd

Answer:

T = $1.50C + $1.00L

Step-by-step explanation:

Chocolate chip cookies - $1.50/dozen

C: # of dozens of chocolate chip cookies

↓

$1.50C

Lemon Frosteds - $1.00/dozen

L: # of dozens of lemon frosteds

↓

$1.00L

T(total) = $1.50C + $1.00L

Hope that helps.

Answer:

D) 28+32

Step-by-step explanation:

Well, if you solve the equation in the question, you derive 60.

So, solve all of the equations in the answer, and you find that the last answer choice is the only one that equals 60.

Hope this helped.

Answer:

28 + 32

Step-by-step explanation:

4(7 + 8)= 4*7+4*8= 28+32= 60

Last option is correct

Answer:

Hello!

~~~~~~~~~~~~~~~~~`

Profit % = (Profit/C.P)*100

= (1000/8000)*100

= 12.5%

Step-by-step explanation:

Cp of 1000glass =8000

100were broken =8000-800=7200

now there were 900 glass tumblers left he sold at rs10 each =9000

there for sp is bigger than cp

P in rs =9000-8000=1000

Hope this helped you! Brainliest would nice..!

☆_________________❤︎________________☆

Answer:

Area = 4.5 cm²

Step-by-step explanation:

Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]

Where Base = 3 cm, Height = 3 cm

So,

Area = 1/2 (3*3)

Area = 9/2

Area = 4.5 cm²

Answer:

17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Side T = t

Side V = 14

Side U = 11

The value of t can be obtained by using cosine rule as show below:

t² = u² + v² – 2uv cosT

t² = 11² + 14² – 2×11×14 cos 87°

t² = 121 + 196 – 308 × Cos 87°

t² = 300.88

Take the square root of both side

t = √300.88

t = 17.3

Therefore, the value of t is 17.3

Answer:

-7/4 =x

Step-by-step explanation:

x-2(x+3) = 4(2x+3) -(x+4)

Distribute

x -2x -6 =8x+12 -x -4

Combine like terms

-x-6 = 7x +8

Add x to teach side

-x-6 +x = 7x+x+8

-6 = 8x+8

Subtract 8 from each side

-6-8 =8x+8-8

-14 = 8x

Divide by 8

-14/8 = 8x/8

-7/4 =x

Answer:

Step-by-step explanation:

[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]