amber simplified the expression (a4+7a−16)−(12a3−5a+3) below. Amber made her first error at what step
.Problem: (a4+7a−16)−(12a3−5a+3)

Step 1: a4+7a−16−12a3+5a−3

Step 2: a4−12a3+7a+5a−16−3

Step 3: −11a+7a+5a−16−3

Step 4: −11a+12a−16−3

Step 5: −11a+12a−19

Answer:

Step-by-step explanation:

f(x) = a(x - h)² + k    - vertex form of the equation of the parabola with vertex (h, k)

"the parabola opens upward" means:  a>0

"the parabola has x = 2 as an axis of symmetry" means:  h = 2

so f(x) = a(x - 2)² + k

"the parabola contains the point (1, 9)" means:

9 = a(1 - 2)² + k

9 = a(-1)² + k

9 = a + k

k = 9 - a

"the parabola contains the point (4, 27)" means:

27 = a(4 - 2)² + k

so:

27 = a(2)² + 9 - a

27 = 4a + 9 - a

3a = 18

a = 6

and  k = 9 - 6 = 3

Therefore the vertex form for this parabola is:

                                      f(x) = 6(x - 2)² + 3

Answer:

D.

Step-by-step explanation:

to prove congruency of two triangles, you need two congruent sides and one congruent angle

in this case we are given exactly that, 2 sides and one angle that is congruent

we would also need to make sure that the given sides and angles are actually congruent, and not mismatched

we can do this by looking at the positions of the letters in each congruency statement

for example, the letters LO and MA are the first two letters in each triangle's name, this means that they are congruent and properly matched

if you do this with every statement that you are give, you can see that the triangles can be proven by SAS

Answer:

cot= adjacent side/opposite side

Option B is correct.

Step-by-step explanation:

We need to identify trigonometric identity which is given by the formula adjacent side/opposite side

The trigonometric identity for tan is

tan=  opposite side/adjacent side

But We are given adjacent side/opposite side

Since cot is inverse of tan so, formula of cot is:

cot= adjacent side/opposite side

Option B is correct.

Answer:

1) Step 3: S = $136.49 - $3.0625 × 1/4

2) By completing the operations within the parenthesis in Step 2, before multiplying the result by 1/4

Step-by-step explanation:

1) From the given information, we have;

The amount amount Maria earns as a pet sitter = $32.75

The number of weeks Maria worked as a pet sitter = 2 weeks

The amount Mariah previously saved = $70.99

The amount Maria spent = $12.25

The amount Mariah put in her savings account = 1/4 of the remaining (balance) money

Therefore, we have;

The amount placed in Mariah's savings account, S, is given as follows;

Step 1: S = [($32.75 × 2) + $70.99 - $12.25] × 1/4

Step 2: S = [($65.5 × 2) + $70.99 - $12.25] × 1/4

Step 3: S = [($136.49) - $12.25] × 1/4

Step 4: S = $124.24 × 1/4

Step 5: S = $31.06

The amount Mariah puts in her saving's account = $31.06 and the step Mariah first makes an error is Step 3 where what she put down was as follows;

Step 3: S = $136.49 - $3.0625 × 1/4

2) She can correct the error by completing the calculation of the operation within the parenthesis in Step 2, before multiplying by the factor 1/4.

Answer:

x=-6

Step-by-step explanation:

Move all terms that don't contain x to the right and solve using the elimination process.

Answer:

nile blue should be the correct answer

Step-by-step explanation:

Use both!

You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.

P = 8/x + 2x

dP/dx = -8/x² + 2 = 0

8/x² = 2

x² = 8/2 = 4

x = ± √4 = ± 2

You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.

We have

d²P/dx² = 16/x³

When x = -2, the second derivative is negative, which means there's a relative maximum here.

When x = 2, the second derivative is positive, which means there's a relative minimum here.

So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.

Answer:

y=x-70

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Step-by-step explanation:

Answer:

girls: 16

boys: 40

Step-by-step explanation:

girls : boys

2 : 5

let the total number of people be (2+5)x.

2x + 5x = 56

7x = 56

x = 8

therefore, no. of girls = 2 x 8 = 16

no. of boys = 5 x 8 = 40

This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

5 + (-9) = -4

I hope this helps!

Answer:

2/3

Step-by-step explanation:

the equation is [tex]\frac{\frac{1}{y}}{\frac{1}{x}}[/tex], and when the values of x and y are substituted in, you get the fraction 1/3 over the fraction 1/2. when simplified, this is 2/3.

Answer:

The probability of a van getting rented next is 25%.

Step-by-step explanation:

Probability Formula:

Given Information:

Calculations:

Probability of a van getting rented: 1/4 or 25%

Answer:

me!

Step-by-step explanation:

Answer: it’s A

Step-by-step explanation: I got it right, hope it helps ✨

The value of the expression  [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]

The expression is as follows:

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]

using law of indices

Hence,

when a = 5, k = -2

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]

Then,

[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]

[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]

[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]

[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]

Therefore, the value of the expression is 25 / 9

learn more on expression here:https://brainly.com/question/12879207

#SPJ5

Answer:

what's the question???/

Step-by-step explanation:

Answer:

Step-by-step explanation:

x is positive and y is negative

Answer:

(x,-y)

Step-by-step explanation:

Answer:

Options A, C and D are correct ones.

Step-by-step explanation:

Options A, C and D are correct.

Answer:

Its d i took the class

Step-by-step explanation:

Answer:a)40,000 b) 7600cm2

Step-by-step explanation:

Answer:

x^2 + 7/2 + 15 is the answer.

Step-by-step explanation:

Make the number that is equal to x be on the side of the x, then multiply those to values.

x = -6

x= 5/2

(x + 6)*(x - 5/2)

Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.

[tex]x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15[/tex]

#teamtrees #WAP (Water And Plant)

56 mm = 5.6 cm since there are 10 mm in a cm, so we divide by 10 to go from mm to cm.

Since the diameter is 5.6 cm, this means 12 such cans lead to 12*5.6 = 67.2 cm of length needed to house 12 cans along this row.

Similarly, if we had 6 cans along each column, then 6*5.6 = 33.6 cm is needed for this

The diagram below shows what I mean. This diagram is a top-down view of the box. In other words, it's a birds-eye view.

The last dimension we need to take care of is the height of the box. That would be 2*5.6 = 11.2 cm since there are 2 cans along the height

Therefore, the smallest box possible has dimensions of 67.2 cm by 33.6 cm by 11.2 cm

You could have bigger boxes of course, though you'll need to place cushions inside so the cans don't rattle around. The smallest box dimensions listed above are ideal to avoid wasting too much cushion material (you'll still may need some form of cushion though just not as much).

Answer:

1.2

Step-by-step explanation:

apex leaning and I don't know why they want me to write 20 characters long or something like that before posting this‍

Answer:

A belt costs $15 and a wallet costs $27.

Step-by-step explanation:

Let's mark price of a belt with x and price of the wallet with y. That leaves is with a system of equations:

x + y = $42

7x + 4y = $213

The goal when solving this system is to get rid of one of the variables. We can do that by multiplying first equation with -4:

-4x - 4y = -168

7x + 4y = 213

Now, we simply add these two equations up:

-4x - 4y + 7x + 4y = -168 + 213

3x = 45

x = $15

Now, we plug in x into any of the two starting equations to find y:

x+y=42

15 + y = 42

y = $27

Answer:

Cada ángulo igual es recto, es decir, mide 90°

Step-by-step explanation:

Intersección de dos rectas

Cuando dos rectas no paralelas se intersectan, forman en el punto de corte 4 ángulos iguales de a pares, es decir, dos pares de ángulos congruentes.

La suma de todos los ángulos formados es invariablemente 360°.

En general, siendo a y b dos ángulos adyacentes formados por el cruce, se cumple que:

a + b = 180°

Y la suma de todos los ángulos es el doble de lo anterior:

2a + 2b = 360°

Si todos los ángulos son iguales, a=b, entonces:

4a = 360°

a = 90°

Cada ángulo igual es recto, es decir, mide 90°

Answer:

It is not a function thats all I know sry

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

12/100 X 2000

=240

the answer is 240

Answer:

$240

Step-by-step explanation: