If y = 7 when x = 6, find y when x= -21.

Answer:

I agree with daniel

Step-by-step explanation:

Given the area of a rectangle expressed as;

A(x) = 2x²+10x+12

On factorizing;

A(x) = 2x²+6x+4x+12

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

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

since A(x) = l(x)w(x)

Hence the legnth and width of the rectangle are 2x+4 and x+3.

Also A(x) = 2x²+6x+4x+12 can be factorized as;

A(x) = 2x²+4x+6x+12

A(x) = 2x(x+2) + 6(x+2)

A(x) = 2x+6(x+2)

Therefore I agree with Daniel. The factor differs due to the difference in arrangement of 4x and 6x in the expression. Precedence of values affects the final factors

Answer:

3

Step-by-step explanation:

length

width

height

Answer:

0.5 cents per pound.

4.50/9 = 0.5

Please mark me brainliest! I hope this helps!

[tex]{( \sqrt[3]{{x}^{2}})}^{6} = {({x}^{ \frac{2}{3}})}^{6} = {x}^{ \frac{2}{3} \times 6 } = {x}^{2 \times 2} = {x}^{4} \\ [/tex]

So the answer is the second option which is,

[tex] {x}^{4} [/tex]

Answer:

its 10:25 :)

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

Since,

The hour hand is just slightly up than 10 and minute hand is on 5.

Which denotes 10:25

Answer:

[tex]\frac{4\sqrt{5} }{5}[/tex]

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Answer:

l = 420 cm

Step-by-step explanation:

20.

Central angle  = 60°

The radius of circle, r = 7 cm

We need to find the length of the arc. We can find it as follows :

[tex]l=r\times \theta\\\\l=7\times 60\\\\l=420\ cm[/tex]

So, the length of the arc is equal to 420 cm.

Answer:

n = 0 or 10

Step-by-step explanation:

From the question,

Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1

Coordinate of the circle = (6,n)

From the question

x = 6, y = n

Substitute the value of x and y into equation 1

(6-1)²+(n-5)² = 50

5²+(n-5)² = 50

25+(n-5)² = 50

(n-5)² = 50-25

(n-5)² = 25.

Solving for n

n-5 = √(25

n-5 = ±5

Either,

n-5 = -5

n = -5+5

n = 0

or

n-5 = +5

n = 5+5

n = 10

Answer:

n = 3.16

Step-by-step explanation:

Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.

Substitute x = 6 and y = n into the equation

(6 - 1)² + (n - 5)² = 50, that is, expanding using FOIL

5² + n² - 10n + 25= 50 by simplifying

25 + n² - 10n = 50 ( subtracting 50 from both sides and rearrange )

n² - 10n = 0 ← in standard form

n²=10

n = √10

The values of n is 3.16

Answer:

3

Step-by-step explanation:

First, we can start by multiplying the equation 2x - 3y = 12 by six to see where that gets us,

2x - 3y = 12 --> 12x - 18y = 72

12x - 18y = 72

5x + 6y = 18 (other equation)

We can notice that eliminating the y term would be the easiest to go about, so we want to find the number that we can multiply 6 by to get 18. That number is 3, so the factor is 3.

You can use the fact that non of 2 times 6 doesn't include 5 as factor.

There are two possible values of the factor by which if Yumiko multiplies the first equation and add the equations, a variable is eliminated.

Those values of the factor are [tex]3[/tex]   (for elimination of y) or [tex]-\dfrac{12}{5}[/tex] (for elimination of x)

Our aim in doing so is to make the coefficients of same variable equal and with opposite signs so that when we add the equations, that variable gets eliminated because of coefficient becoming zero.

For example, take the given equations and the factor by which Yumiko multiplied the second equation.

5x + 6y = 18

2x – 3y = 12 => 12x - 18y = 72   (since she multiplied this with 6)

Let she multiply the first equation with factor "p"

Then we will have the system as;

[tex]p \times 5x + p \times 6y = p \times 18\\12x - 18y = 72[/tex]

Adding both the equations, we get:

[tex](5p + 12)x + (6p - 18)y = 18p + 72[/tex]

Since there are two variables and since any one of them can be eliminated depending on the value of p, thus we have two cases:

Then we have coefficient of x = 0

or

[tex]5p + 12 = 0\\5p = -12\\p = -\dfrac{12}{5}\\[/tex]

Then we have coefficient of y = 0

or

[tex]6p - 18 = 0\\6p = 18\\p = \dfrac{18}{6} = 3[/tex]

Thus, there are two possible values of the factor by which if Yumiko multiplies the first equation and add the equations, a variable is eliminated.

Those values of the factor are [tex]3[/tex]  or [tex]-\dfrac{12}{5}[/tex]

Learn more about system of linear equations here:

https://brainly.com/question/13722693

Answer:

g(x)=2(x-9)(x+3)

Step-by-step explanation:

Answer:

y = 5/4 x + 9

y = -5x+4

Step-by-step explanation:

a)The equation of the line in slope intercept form is expressed as y = mx+b

m is the slope

b is the intercept

Given

Slope m = 5/4

y-intercpet = 9

Substitute

y = mx+b

y = 5/4 x + 9

b) Given the coordinates (0,4) and (2, -6)

Slope m = -6-4/2-0

m = -10/2

m = -5

Since the y intercept of the line is (0, 4), hence b = 4

Get the equation

Recall

y = mx+b

y = -5x +4

This gives the required equation

Answer:

Midpoint is (0, -4)

Step-by-step explanation:

x-coordinate of midpoint = (-7 + 7)/2 = 0/2 = 0

y-coordinate of midpoint = (3 - 11)/2 = -8/2 = -4

Midpoint is (0, -4)

Answer:

(0,-4)

Step-by-step explanation:

(x1 + x2/2,  y1 + y2/2)

(-7 + 7/2 ,  3 + -11/2)

(0/2,  -8/2)

(0,-4)

Answer:

Step-by-step explanation:

9

Answer:

rang is 31

Step-by-step explanation:

Answer:

113.04 km²

Step-by-step explanation:

Formula - Area = πr²

= 3.14 * 6²

= 113.04 km²

????????????

Step-by-step explanation:

?????????

Answer:

The radius of each base is 4.46 inches.

Step-by-step explanation:

The surface area (SA) of a cylinder is given by:

[tex]SA = 2\pi rh + 2\pi r^{2} = 325[/tex]   (1)

Where:

r: is the radius of each base

h: is the height of the cylinder

Now, the lateral area (LA) is:

[tex]LA = 2\pi rh = 200[/tex]   (2)

Hence, by entering equation (2) into equation (1) we have:

[tex] SA = LA + 2\pi r^{2} [/tex]                  

[tex] 325 = 200 + 2\pi r^{2} [/tex]

[tex] r = \sqrt{\frac{325 - 200}{2\pi}} = 4.46 in [/tex]

Therefore, the radius of each base is 4.46 inches.

I hope it helps you!                                                                

Answer:

bro its D and your taking your math finals lol

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

4+8x=-12

-4       -4

8x = -16

/8      /8

x   =   -2

Answer:

X=(-2)

Step-by-step explanation:

8(-2)=(-16)

so -16+4=(-12)

Answer:

5 inches tall i think

Step-by-step explanation:

sorry if its wrong

Answer:

90

Step-by-step explanation:

9514 1404 393

Answer:

  80 in^3

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base, and h is the height of the pyramid. Here, h=8 in.

__

Here, the base is a triangle. The formula for its area is ...

  A = 1/2bh

where b is the base segment of the triangle, and h is the height of the triangle perpendicular to the base segment. Here, b=10 in, and h = 6 in.

The triangular base area is ...

  A = 1/2(10 in)(6 in) = 30 in^2 . . . . base area "B"

__

Using the above base area and pyramid height, we find the volume of the pyramid is ...

  V = 1/3(30 in^2)(8 in) = 80 in^3

The volume of the pyramid is 80 cubic inches.

Answer:

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Given:}}}}}}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{To Find:}}}}}}\end{gathered}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Using Formula:}}}}}}\end{gathered}[/tex]

[tex] \dag{\underline{\boxed{\sf{ S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]

Where

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Solution:}}}}}}\end{gathered}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{P \times R \times T}{100}}}}}}[/tex]

Substituting the values

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{30000 \times 30\times 4}{100}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{30000 \times 120}{100}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{3600000}{100}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\cancel{\dfrac{3600000}{100}}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{Rs.36000}}}}}[/tex]

[tex]{\dag{\underline{\boxed{\sf{ S.I ={Rs.36000}}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Learn More:}}}}}}\end{gathered}[/tex]

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \dag \: \underline{\bf{More \: Useful \: Formula}}\\ {\boxed{\begin{array}{cc}\dashrightarrow {\sf{Amount = Principle + Interest}} \\ \\ \dashrightarrow \sf{ P=Amount - Interest }\\ \\ \dashrightarrow \sf{ S.I = \dfrac{P \times R \times T}{100}} \\ \\ \dashrightarrow \sf{P = \dfrac{Interest \times 100 }{Time \times Rate}} \\ \\ \dashrightarrow \sf{P = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}} \\ \end{array}}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}[/tex]

Answer:

INTEREST=P*T*R/100

=30000*4*30/100

=3600000/100

=36000

Step-by-step explanation:

Therefore ,simple interest is 36000

Answer:

x = 3

Step-by-step explanation:

Mathematically, the mean is the sum of the numbers divided by the count of the numbers

The count of the numbers is 5

Thus;

( 4 + 8 + 9 + x + 2x)/5 = 6

(21 + 3x)/5 = 6

21 + 3x = 6(5)

21 + 3x = 30

3x = 30-21

3x = 9

x = 9/3

x = 3

Answer: C. Pyramid

Step-by-step explanation:

A cylinder is kind of like a paper towel roll.

A Rectangular prism is more like a cube.

A cone has a round part on the bottom.

And a Pyramid is this ...

Answer:

2.7, 3, 6

Step-by-step explanation:

Answer:

2 years

Step-by-step explanation:

5%× 600= $30

$30×2=$60

not sure if you will get what I mean but that's how I worked it out.

Answer:

[tex]I = \frac{PRT}{100}[/tex]

P= $600

R= 5%

[tex]I = \frac{600 \times \ 5 \times T}{100} = 30T\\\\[/tex]

A = double the deposit =2  600= $1200

[tex]A = I + P \\1200 = 30T + 600\\30T = 600\\T = 20[/tex]

Answer:

B; 1

Step-by-step explanation:

Firstly, we need to find the inverse of the given function

Let us have f(x) as y

To find the inverse, we set out to make x the formula subject

Thus;

y = √(3x + 6)

square both sides

y^2 = 3x + 6

3x = y^2 - 6

x = (y^2 - 6)/3

To write the inverse, replace y by x

So we have the inverse of the function as ;

(x^2 - 6)/3

So what we have to do here is to substitute 3 for x in the inverse

We have this as;

(3^2 -6)/3

(9-6)/3

= 3/3 = 1

Answer:

1 ( option B )

Step-by-step explanation:

The given equation is ,

[tex]\implies f(x) =\sqrt{ 3x + 6 }[/tex]

Now substituting y = f(x) , we have ,

[tex]\implies y=\sqrt{ 3x + 6 }[/tex]

For finding the inverse , Interchange x and y , we have ,

[tex]\implies x =\sqrt{ 3y + 6 }[/tex]

Now solve for y , we have ,

[tex]\implies x ^2=3y + 6 \\\\\implies 3y = x^2-6 \\\\\implies y =\dfrac{x^2-6}{3} [/tex]

Now replace y with f-¹(x) , we have ,

[tex]\implies f^{-1}(x) =\dfrac{x^2-6}{3} [/tex]

Now put x = 3 , we have ,

[tex]\implies f^{-1}(3) =\dfrac{3^2-6}{3}\\\\\implies f^{-1}(3) = \dfrac{9-6}{3}\\\\\implies \underline{\underline{ f^{-1}(3) = 1 }} [/tex]

Answer:

D) 2² × 3³ × 7

Step-by-step explanation:

Hope this helps! Have a nice day :)

Answer:

true proportion

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

hope it helps ya.

Can you give me brainliest? please?.ت︎