(04.01 LC)
The coordinates of point A on a grid are (-2,-4). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are
- 4). (5 points)

Answer:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Or, in standard form:

[tex]f(x)=-4x^2-20x+56[/tex]

Step-by-step explanation:

We can use the factored form of a quadratic equation:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where a is the leading coefficient and p and q are the zeros of the quadratic.

We know that the x-intercepts are at (2, 0) and (-7, 0).

So, let's substitute 2 for p and -7 for q. This yields:

[tex]f(x)=a(x-2)(x+7)[/tex]

Now, we need to determine a.

We know that it passes through the point (1, 32). In other words, if we substitute 1 for x, we should get 32 for f(x). Therefore:

[tex]32=a(1-2)(1+7)[/tex]

We can now solve for a. First, compute:

[tex]32=a(-1)(8)[/tex]

Multiply:

[tex]32=-8a[/tex]

Divide both sides by -8:

[tex]a=-4[/tex]

So, the value of a is -4.

Therefore, our entire equation is:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Notes:

We can expand this into standard form:

[tex]f(x)=-4(x-2)(x+7) \\ f(x)=-4(x^2+5x-14) \\ f(x)=-4x^2-20x+56[/tex]

Answer:

3456

Step-by-step explanation:

Answer:

It will be 84

Step-by-step explanation:

Answer:

- [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{5}[/tex] × [tex]\frac{5}{8}[/tex] ( cancel the 5 on numerator/ denominator )

= - 1 × [tex]\frac{1}{8}[/tex]

= - [tex]\frac{1}{8}[/tex]

Answer: 9.5

Step-by-step explanation: I got it right in my test :)

Answer:

9.5 ft would be the closest to the length of the ramp in feet.

Step-by-step explanation:

I had the exact same question on my test, I got it correct :)

Answer:

y = 1

x = 1

Step-by-step explanation:

If y = x

Replace x with y

y = 11y - 10

y - 11y = -10

-10y = -10

y = 1

Hope this helps!

Have a nice day!

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Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

B and B

Step-by-step explanation:

The first one is B because all of the slopes are negative except B. And so I think that's the correct answer

The second one I know is B for sure, I remember learning it in 8th grade 2 years ago.

It's really just the first one I am second guessing myself on but B and B make sense to me :)

Answer:

x=1382400

this should be right

Answer:

1382400

Step-by-step explanation:

Well, we can first find that 5x12 is 60 so if you substitute it, it would be:

45x512 = ___ / 60

We can also substitute ___ as x:

45x512 = x/60

45x512 is 23040 so, 23040 = x/60.

Bring sixty to the other side and multiply

x= 23040 x 60 = 1382400

Answer:

sas

Step-by-step explanation:

Given:

Michelle plans on raising $80.

Selling price of each shirt = $10

So far she has raised $20.

To find:

The number of more shirts she needs to sell.

Solution:

Let x be the number of more shirts she needs to sell.

Selling price of one shirt = $10

Selling price of x shirt = $10x

Total raising amount = $(10x + 20)

Michelle plans on raising $80. So,

[tex]10x+20=80[/tex]

Subtract both sides by 20.

[tex]10x=80-20[/tex]

[tex]10x=60[/tex]

Divide both sides by 10.

[tex]x=\dfrac{60}{10}[/tex]

[tex]x=6[/tex]

So, the required equation is [tex]10x+20=80[/tex]

Therefore, the correct option is A.

Answer:

a = p * q

b = p * s + q * r

c = r * s

Step-by-step explanation:

In the trinomial ax² + bx + c

a is the coefficient of x²

b is the coefficient of x

c is the numerical term

∵ The trinomial is ax² + bx + c

∵ Its factors are (px + r) and (qx + s)

∴ ax² + bx + c = (px + r)(qx + s)

∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)

∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs

∴ ax² + bx + c = pqx² + (ps + qr)x + rs

→ By comparing the two sides

∵ ax² = pqx² ⇒ divide both sides by x²

∴ a = pq

∵ bx = (ps + qr)x ⇒ Divide both sides by x

∴ b = ps + qr

∴ c = rs

∴ a = p * q

∴ b = p * s + q * r

∴ c = r * s

Answer:

133? i just did 400 divided by 3 lol

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

first, make sure that is the entire graph because if not this answer is wrong

20 people total and 3 picked science so 3/20=x/400 so 20x20=400 so 3x20 means the number of students 400 who picked science probably based on this and it is 60

Answer:

uh is  it 2 and o.6 i think

Step-by-step explanation:

Answer: B.

[tex]12x^{2}[/tex] [tex]-8xy + 12x + y^2 - 2y[/tex]

Step-by-step explanation:

i just took the assignment

Answer:

The answer is 267.

Step-by-step explanation:

If we wanted to represent this scenario as an equation, it would be 22.40-14+.5x (x being the amount of texts after 250). We are using PEMDAS, but because the variable is unknown, we skip multiplication and just go left to right. 22.40 - 14 = 8.40. With 8.40, we now know how much it costed AFTER 250 messages (how much she owes after $14). If we want to find how many PER 50 cents, we have to DIVIDE (reverse of multiplication). 8.4 / .5 = 16.80. Because you can't send .8 of a text message, you round to get 17. 250 + 17 = 267 (messages sent that month).

Therefore the answer is 267 (250 + 17)

Answer:

B

Step-by-step explanation:

The general equation of a straight line can be represented as;

y = mx + b

where m is slope

If two lines are perpendicular, the product of their slopes will be -1

So since the slope of the first line is 1, then the slope of the second line will be -1

Out of all the options, only have its slope as -1 and this y = -x + 6 and this is our answer

Answer:

5 bottle caps each second

Step-by-step explanation:

To find the unit rate, just divide the total number by the total time.

150/30

5

So 5 bottle caps per second

Answer:

Apple A

Step-by-step explanation:

Apple A 6.90/6 = 1.15 lb

Apple B 12oz/ (16oz or 1lb) =3/4   .90/(3/4) =1.2lb

Apple C 0.45/(1/4)= 1.8lb

Answer:

14

Step-by-step explanation:

Answer:

$10.06

Step-by-step explanation:

Since there are 2 people, multiply the amount they each get by 2.

5.03 times 2=10.06

Final answer  10.06

Hope this helps:)

Step-by-step explanation:

The main difference between Save and Save As is that Save helps to update the lastly preserved file with the latest content while Save As helps to store a new file or to store an existing file to a new location with the same name or a different name.mark me brainlist if i help

Answer:

difference between save and save as is that save helps to update lastly preserved file with least content while save as to store a new file or to store an existing file to a new location with the same name or different name.

Answer:

-8.2,-2 1/2, 0.4,2.4

Step-by-step explanation:

hope that helps

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[tex] - 6x + 9 - 4x = 14[/tex]

[tex] - 6x - 4x + 9 = 14[/tex]

Collect like terms

[tex]( - 6 - 4)x + 9 = 14[/tex]

[tex] - 10x + 9 = 14[/tex]

Subtract sides 9

[tex] - 10x + 9 - 9 = 14 - 9[/tex]

[tex] - 10x = 14 - 4 - 5[/tex]

[tex] - 10x = 10 - 5[/tex]

[tex] - 10x = 5[/tex]

Divide sides by - 10

[tex] \frac{ - 10x}{ - 10} = \frac{5}{ - 10} \\ [/tex]

[tex]x = - \frac{5}{10} \\ [/tex]

[tex]x = - \frac{5}{5 \times 2} \\ [/tex]

[tex]x = - \frac{1}{2} \\ [/tex]

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Answer:

y = −2x+14

plot the points on a graph, and find the slope :)

Answer:

(D). 6

Step-by-step explanation:

[tex]\sqrt{x-2}[/tex] + 4 = x and x ≥ 2

Let analyze the answer's choices

(A). Does not satisfy domain

(B). [tex]\sqrt{3-2}[/tex] + 4 ≠ 3

(C). Does not satisfy domain

(D). √(6 - 2) + 4 = 6 ⇒ x = 6 is the answer.

Answer:

The factors are: 1,2,3,6,9,18,27,54.

Hope this helped!

Answer: the answer is D 1, 2, 3, 6, 9, 18, 27, 54. :)

Answer:

Step-by-step explanation:

Given:

As per given the proportion is:

A rock that weights 250 pounds on Mars would weigh on Earth:

Answer:

D.

Step-by-step explanation:

Opposite numbers will be numbers with opposite signs

Option D shows -3 at one end and +3 at the other; their sum is 0