Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. and passes through the point (3, –2) in function notation.
Step 1: y – (–2) = Step 1: y minus left-parenthesis negative 2 right-parenthesis equals StartFraction 3 Over 4 left-parenthesis x minus 3 right-parenthesis. (x – 3)
Step 2: y + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 3: y + 2 + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x – + 2
Step 4: y = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 5: f(x) = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Analyze each step to identify if Andy made an error.
Yes, he made an error in Step 1. He switched the x and y values.
Yes, he made an error in Step 2. He did not distribute StartFraction 3 Over 4 EndFraction properly.
Yes, he made an error in Step 3. He should have subtracted 2 from both sides.
No, his work is correct.

Answer:

Literally take your f(x) and - your g(x)

(x^2+9x+18) - (x + 6)

Remember to distribute the negative sign.

Answer:

It wouldn't.

Step-by-step explanation:

With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.

Answer:

8.69>8.6

Step-by-step explanation:

Because 8.69 has .09 more than 8.6

Answer:

8.69 > 8.60

Step-by-step explanation:

You need to add a zero to the end to 8.6 so it's easier to compare. Since all the digits in the two numbers are the same except 9 and zero, those are what you need to compare. 9>0, so 8.69 > 8.6

hope this helped! :)

Answer:

What are we meant to do its sideways

Step-by-step explanation:

Answer:

[tex]\longrightarrow 5n+1\longleftarrow[/tex]

Step-by-step explanation:

[tex]f(n)=2n+1\\\\g(n)=3n\\\\f(n)+g(n)=?\\\\\longrightarrow (2n+1)\longleftarrow\\\\+\longrightarrow (3n)\longleftarrow\\\\f(n)+g(n)=2n+1+3n\\\\=(2n+3n)+1\\\\=(2+3)n+1\\\\=5n+1\longleftarrow \\\\\dagger[/tex]

Answer:

[tex]\boxed {\tt f(n)+g(n)=5n+1}[/tex]

Step-by-step explanation:

We want to find f(n) + g(n) . Basically, we have to find the sum of f(n) and g(n).

[tex]f(n)+g(n)[/tex]

We know that:

[tex]f(n)=2n+1\\g(n)=3n[/tex]

Therefore, we can substitute 2n+1 in for f(n) and 3n in for g(n)

[tex](2n+1)+(3n)[/tex]

Combine like terms. The terms 3n and 2n both have a "n" so they can be combined.

[tex](2n+3n)+(1)[/tex]

[tex](5n)+1[/tex]

[tex]5n+1[/tex]

f(n)+g(n) is equal to 5n+1

Answer:

AMH = 32

Step-by-step explanation:

The angles are alternate exterior angles and when the lines are parallel, alternate exterior angles are equal

x+86 = 24+2x

Subtract x from each side

x+86 -x =24+ 2x+2x-x

86 = 24 +x

Subtract 24 from each side

86-24 = 24+x-24

62 =x

x+86 = 62+86 =148

AMH is supplementary since it forms a straight line

AMH + x+86 = 180

AMH + 148 = 180

AMH = 180-148

AMH = 32

Answer:

220g/cm³

Step-by-step explanation:

Given parameters:

  Mass of the weight = 220000g

  Volume  = 1000cm³

Unknown:

Density of weight = ?

Solution:

Density is the mass per unit volume of a substance.

Mass is the amount of matter in a substance.

Volume is the amount of space a substance occupies

        Density  = [tex]\frac{mass}{volume}[/tex]

Input the parameters and solve

        Density  = [tex]\frac{220000}{1000}[/tex]  = 220g/cm³

Work Shown:

[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]

The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

Answer:

X > 7

Step-by-step explanation:

4(x + 3) < 6x – 2

4x + 12 < 6x -2

-6x            -6x

-2x + 12 < -2

-12           -12

-2x < -14

-----     -----

-2         -2

x > 7

The < change because it was divided by a negative number

Answer:

The slope is 7

Step-by-step explanation:

Choose any of the following points for example (0.5,3.5) and (1,7)

7-3.5=4.5/1-0.5=0.5

Divide 4.5/0.5 to get 7

Answer:

No.

Step-by-step explanation:

For functions, there can only be one y-value to every x value, and in this diagram x=0 has two y-values, therefore it is not a function      

Answer:Not a function

Step-by-step explanation:In a function, an input can only have one output. So the fact that 0 has two different outputs means it is not a function.

Answer:

√294 = A. 7√6

Explanation:

Factor  49  out of  294 . √

49 ( 6 ) Rewrite  

49  as  7 ² . √ 7 ² ⋅ 6

Pull terms out from under the radical.

7 √ 6

Answer:

I believe that the answer is number 2

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

Step 1: Shift the decimal point two places to the right: 0.24 → 2.4→ 24.

Step 2: Add a percent sign: 24%

and that's how you get your answer

The .24 written as a percent is 24%.

To convert .24 to a percent, multiply it by 100.

.24 ×100 = 24

When we express a number as a percent, it represents a proportion out of 100. In this case, .24 as a percent means that .24 is equivalent to 24 out of 100 or 24%. The percent symbol (%) indicates that the number is being represented as a fraction of 100. This can be interpreted as .24 representing 24 parts out of 100, or 24 hundredths.

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Answer:

90 minus 10 is 80 so $80 left

Step-by-step explanation:

given data:

hours worked weekly = 39

pay/her = $10.95

insurance withheld weekly = $20

percentage put into Retirement = 4%

Solution:

Gross pay

= hrs worked weekly x pay/hr

= 39 x $10.95

= $427.05.

Deductions

insurance deduction

= $427.05 – $20

= $407.05

Amount put into retirement account

= 4% of $427.05

= 4/100 x $427.05

= $17.082

NET PAY

= $427.05 – $20 –$17.082

= $389.97

Answer:

w=2r

r= w/2

r- w/2 = 0

w -2r= 0

Step-by-step explanation:

Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives

w=2r

when w= 1

w= 2(1) = 2

For 1st week 2 recipes are learned

when w= 2

w= 2( 2) = 4

For 2nd week 4 recipes are learned.

or

when r= 2

r= w/2

r =2/2  = 1  one  recipe is learned in half of the week  

r- w/2 = 0

or

w -2r= 0

Answer:

2/3

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

25×53

Applying the fractions formula for multiplication,

=2×55×3

=10/15

Simplifying 10/15, the answer is

=2/3

Answer:

Step-by-step explanation:

p=15-4

p= 11

Step-by-step explanation:

[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]

The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]

Two or more expressions with an Equal sign is called as Equation.

Let us find the inverse of the equation y = 16x² + 1.

To find inverse we need to replace y with x and x with y in the original equation to obtain:

x = 16y² + 1

Now solve for y in terms of x by rearranging the terms

x - 1 = 16y²

Divide both sides by 16

y² = (x - 1)/16

Take square root on both sides.

y = ±√[(x - 1)/16]

Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:

y = ±√[(x - 1)/16]

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Answer:

B. y > (4/3)x - 2

Step-by-step explanation:

The dotted line means that the answer WILL NOT include the line itself, just the space above it. Since the shaded area is above the line, it must be greater than the line.

Answer:

Infinity

Step-by-step explanation:

It is equal to nothing.

2x+2=2x+2

-2x     -2x    

2=0x+2

-2      -2

0=0

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

Distribute the 2 in 2 (x+1)

2 ⋅ x = 2 x

2 ⋅ 1 = 2

Combine:

2 x + 2

Equation is now:

2 x + 2 = 2 x + 2

Subtract 2 from both sides of the equation:

2 x = 2 x

Divide both sides by 2:

x=x

Both sides of the equation are the same:

x = x

Any real number or:

( − ∞ , ∞ )

Answer:

B

Step-by-step explanation:

got stuck on it too lol

The graph of an equation intersects the y-axis at some point. Therefore, the coordinates of the intersection indicate is B. the output when the input is zero.

Its the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).

Since sum of side lengths of the triangle of vertices: 3

Area: ½ × base × height

Number of edges: 3

Internal angle: 60° (for equilateral)

The Sum of interior angles is 180°

Therefore, the coordinates of the intersection indicate will be;

B. the output when the input is zero.

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Answer1/2(8x15)=60ft2

Step-by-step explanation: hope this helps you

The area of the rock garden will be represented by the equation 1/2 x 15 x 8 = 60. The correct option is D.

The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 x b x h, where b and h are the product of the triangle's base and height.

The area of the triangle will be calculated as,

Area = 1/2 x 15 x 8

Area = 15 x 4

Area = 60 square feet

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Answer:

I believe that g=dc

Step-by-step explanation:

You swap positions with g and c along with their sign of operation.

Answer:

Symmetric property of angle congruence

Answer:

Charles Babbage, who was born in 1791, is regarded as the father of computing because of his research into machines that could calculate. Babbage's Difference Engine Number 1 was the first device ever devised that could calculate and print mathematical tables.

Answer:

16.1 mph is your rate

Step-by-step explanation:

Answer:

16.1 per hour

Step-by-step explanation:

just divide the mile by the hours.

64.4 / 4