5. Quinn wants to put a picture a new frame he
received for his birthday. The picture is 4/8 inch
long and 1/4 inch wide. What is the area of the
picture?
A. 4/12 square inch
B. 1/2 square inch
C. 1/8 square inch
D. 4/24 square inch

Graph attached

Answer:

vertex = (-4, 7)

(-3, 3) and (-2, -9)

(-6, -9) and (-5, 3)

Step-by-step explanation:

Given function:  [tex]f(x) = -4(x + 4)^2 + 7[/tex]

Vertex form of a quadratic function:  [tex]f(x)=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)

From inspection, we can see that the given function is in vertex form.

h = -4 and k = 7

Therefore, the vertex is at (-4, 7)

As [tex]a[/tex] is negative, the parabola will open downwards.

When graphing functions, it is useful to determine the axis intercepts.

The curve will intercept the y-axis when x = 0.

Substituting x = 0 into the function:

[tex]f(0) = -4(0 + 4)^2 + 7=-57[/tex]

Therefore, the y-intercept is at (0, -57)

**cannot plot this on the given graph area as it is out of range**

The curve will intercept the x-axis when y = 0.

Setting the function to 0 and solving for x:

[tex]-4(x + 4)^2 + 7=0[/tex]

[tex]\implies -4(x + 4)^2=-7[/tex]

[tex]\implies (x + 4)^2=\dfrac74[/tex]

[tex]\implies x+4=\pm\sqrt{\dfrac74}[/tex]

[tex]\implies x=-4\pm\dfrac{\sqrt{7}}{2}[/tex]

Therefore, the x-intercepts are at (-2.7, 0) and (-5.3, 0) to 1 dp.

Finally, input values of x either sides of the x-intercepts for further plot points:

(-3, 3) and (-2, -9)

(-6, -9) and (-5, 3)

When the change of base formula is applied to log subscript 4 baseline (x+2), the result is [tex]\dfrac{log(x+2)}{log4}[/tex].

There are four basic properties of logarithms:

[tex]\rm log_aU+ log_aV = log_a(UV)\\\\log_aU - log_aV = log_a(\dfrac{U}{V})\\\\log_aU^n = n\ log_aU\\\\\log_ab = \dfrac{log_xb}{log_xa}\\\\[/tex]

When the change of base formula is applied to log subscript 4 baseline (x 2), the result expression will be,

[tex]\rm log_4(x+2)=\dfrac{log_{10}(x+2)}{log_{10}4}=\dfrac{log(x+2)}{log4}[/tex]

Hence, when the change of base formula is applied to log subscript 4 baseline (x+2), the result is [tex]\dfrac{log(x+2)}{log4}[/tex].

Learn more about Logarithms:

https://brainly.com/question/7302008

Answer:

a - StartFraction log (x + 2) Over log 4 EndFraction

Step-by-step explanation:

edge 2022

Answer:

  1 3/5 minutes per meter

Step-by-step explanation:

To find the rate in minutes per meter, divide the given minutes by the given meters:

  (1 1/5 min)/(3/4 m) = (6/5)×(4/3) min/m = 8/5 min/m

  = 1 3/5 minutes per meter

Answer:  2.48

Step-by-step explanation:

We have the ad that shows:

6 lemons for .....................1.86 dollars

8 lemons..............................?

the cost for 8 lemons= (8*1.86)/6=2.48

of course we can use another method,

1.86/6=0.31 cents for 1 lemon

8*0.31=2.48 and we get the same answer

Answer:

$2.48

Step-by-step explanation:

1.86/6=0.31 which is the cost for 1 lemon. 0.31*8=2.48 which is for 8 lemons.

Answer:

24(6) </= 200

Step-by-step explanation:

24(6) is less than or equal to 200 notepads, that are needed. Which is actually true. 144 is less than or equal to 200.

Answer:

that would be 26

Step-by-step explanation:

you got this!

Answer:

100,000+.05^x=P

Step-by-step explanation:

The expression which best described the total population is P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3.

A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.

The hint which is present in a given pattern hides in the pattern only.

Total population P in 2008 = 100000

Total population In 2009 = 100000 + 5% of 100000

⇒ 100000 + 0.05 × 100000

⇒ 1.05 × 100000

Total population P in 2010 ⇒

⇒ (1.05 × 100000) + 5% of (1.05 × 100000)

⇒  (1.05 × 100000) + 0.05 × 1.05 × 100000

⇒ 1.05 × 100000[ 1 + 0.05]

⇒ 1.05² × 100000

So it will follow this series.

Therefore,

1.05 × 100000, 1.05² × 100000, 1.05³ × 100000

The generalized term is ;

P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3

Hence "The expression which best described the total population is P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3".

For more information about the pattern,

brainly.com/question/14013716

#SPJ2

Answer:

the maxium value is 25 you can see this in the picture

Hope This Helps!!!

Answer:

This day is going to be perfect

The kind of day of which I dreamed since I was small

Everypony will gather round

Say I look lovely in my gown

What they don't know is that I have fooled them all

Step-by-step explanation:

Answer:

I IM NOT 100 PERCENT BUT IT MIGHT BE A

Step-by-step explanation:

i think it might be B

because first, u do slope formula y2-y1 and x2-x1 so 1-(-6) and 10-1

then u get 7/14 which is 2 and then plug in the numbers like -4=2(-6)+b

and then you add 12 to -4 and get 8=b I think after this u divide and get 4

Answer:The winner recieved 4,500 more votes than the loser

Step-by-step explanation:

Answer:

5,250

Step-by-step explanation:

The first step is to set up a porportion like this one

[tex]\frac{?}{15,000} \frac{65}{100}[/tex]

Next, you cross multiply and divide. 15,000 times 65 is 975,000

Then divide this by 100 which is 9750. This is the number of votes the winning candidate received. Subtract this number from 15,000 to get 5,250. Hope this helps!

Answer:

this is the answer for the question=$4795.30

Answer:

19

Step-by-step explanation:

4.75 x 4 = 19

19 dollars for the haircut

Have an amazing day!

PLEASE RATE!

Answer:

I would say that it's a 1/4 chance.

Step-by-step explanation:

So...

I added the numbers

And got that

I'm sorry if it didn't help

Answer:

see explanation

Step-by-step explanation:

5x + 3y = 6 → (1)

- 4x - 3y = - 3 → (2)

the most efficient method here would be elimination.

add (1) and (2) term by term to eliminate y

x + 0 = 3

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (1)

5(3) + 3y = 6

15 + 3y = 6 ( subtract 15 from both sides )

3y = - 9 ( divide both sides by 3 )

y = - 3

solution is (3, - 3 )

Answer:

[tex](3,-3)[/tex]

Step-by-step explanation:

[tex]5x + 3y = 6[/tex]

The most efficient method for this equation is elimination.

[tex]x + 0 = 3[/tex]

[tex]5(3) + 3y = 6[/tex]

Substitute x = 3 into any of the equation and solve for y.

[tex]5(3) + 3y = 6[/tex]

[tex]15 + 3y = 6[/tex]

[tex]-15 -15[/tex]

[tex]3y = - 9[/tex]

[tex]\frac{3y}{3}=\frac{-9}{3}[/tex]

[tex]y=-3[/tex]

[tex](3,-3)[/tex]

In the given question, we have to factorise the equation:

Therefore, by using the middle term splitting method:

➙ 3c² + 2c -16

➙ 3c² - 6c + 8c - 16

➙ ( 3c² - 6c )+ (8c - 16 )

➙ 3c( c - 2 ) + 8 ( c - 2 )

➙ ( c - 2 ) ( 3c + 8 )

Factorisation of a quadratic polynomial of the type ax² + bx + c where (a ≠ 1) .

Consider the factorisation of 3c² + 2c – 16 .

We have to find two numbers whose sum is +2 and product (3 × 16) = 48 .

Obviously, the two numbers are 6 and 8 .

[tex]{ \qquad \sf { \dashrightarrow{ 3c {}^{2} + 2c - 16 }}}[/tex]

So, We can write it as,

[tex]{ \qquad \sf { \dashrightarrow{ 3c {}^{2} + 8c - 6c - 16 }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ c (3c + 8) -2 (3c + 8) }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ ( c -2 )(3c + 8) }}}[/tex]

Answer:

I think the answer would be C!

Step-by-step explanation:

I am taking the test now, I think that would be the only one that makes sense. I am sorry if I am wrong.

The relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]

Let the side length of the base of the square building be l, and the side length of the base of the equilateral triangle building be s

So, the perimeter of both buildings is

Both perimeters are equal.

So, we have:

4l = 3s

Divide both sides by 4

[tex]l = \frac 34s[/tex]

Square both sides

[tex]l^2 = \frac{9}{16}s\²[/tex]

The area of an equilateral triangle is:

[tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]

And the area of a square is

[tex]A_s = l^2[/tex]

Make s^2 the subject in [tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]

[tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex]

Substitute [tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex] and [tex]A_s = l^2[/tex] in [tex]l^2 = \frac{9}{16}s\²[/tex]

[tex]A_s = \frac{9}{16} * \frac{4A_t}{\sqrt 3}[/tex]

Evaluate

[tex]A_s = \frac{9}{4} * \frac{A_t}{\sqrt 3}[/tex]

Rationalize

[tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]

Hence, the relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]

Read more about perimeter and area at:

https://brainly.com/question/24571594

Answer:

34.375

Step-by-step explanation:

You first have to count and see how many times the selected number goes into the whole number

27.5 / 1 1/4 = 34.375 and if we remove the extra decimal 34.37

Answer:

Step 1.

Say "hi"

k that's it

Answer:

U just say hey

Step-by-step explanation:

hope this helped

Pls, choose me as brainliest!

Answer:

9% discount (i think im not the best at percentages sorry)

Step-by-step explanation:

since we already know how much we are getting off of the original price, we dont have to subtract anything

so you would divide this price, 130, from 1400

130/1400= 0.0928

then you would have to muliply this number by 100

0.0928 x 100= 9.28

and you would just round to the nearest number which is 9

i hope this is right sorry if it isnt

Answer:

11 17/21= 11[tex]\frac{17}{21}[/tex]

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

a and B are the roots of

[tex] {x}^{2} - 2(p + 1)x + {p}^{2} + 8 = 0[/tex]

[tex] {x}^{2} - 2px - 2x + {p}^{2} + 8 = 0[/tex]

This look like a parabola since p will be a constant so let use a quadratic formula

[tex] {x}^{2} -(2p + 2)x + {p}^{2} + 8 = 0[/tex]

[tex]2p + 2± \frac{ \sqrt{4 {p}^{2} + 8p + 4 - (4 {p}^{2} + 32) } }{2} [/tex]

[tex]2p + 2± \frac{ \sqrt{8p - 28} }{2} [/tex]

[tex]2p + 2± \frac{2 \sqrt{2p - 7} }{2} [/tex]

[tex]2p + 2± \sqrt{2p - 7} [/tex]

So the roots are

[tex]2p + 2 + \sqrt{2p - 7} [/tex]

and

[tex]2p + 2 - \sqrt{2p - 7} [/tex]

We know the distance between these two points are

2 so

[tex] |(2p + 2) + \sqrt{2p - 7} - (2p + 2) - \sqrt{2p - 7} | = 2[/tex]

[tex] | \sqrt{2p - 7} + \sqrt{2p - 7} | = 2[/tex]

[tex] |2 \sqrt{2p - 7} | = 2[/tex]

[tex]2 \sqrt{2p - 7} = 2[/tex]

[tex]p = 4[/tex]

Let plug it in to see.

[tex] {x }^{2} - 2(4 + 1)x + {4}^{2} + 8 = 0[/tex]

[tex] {x}^{2} - 10x + 24 = 0[/tex]

[tex](x - 6)(x - 4) = 0[/tex]

[tex]x = 4[/tex]

[tex]x = 6[/tex]

So they have a distance of 2.

Answer:

The last one.

Step-by-step explanation:

Answer:

y^5 cubed root x^2 y^2

Step-by-step explanation:

edge 2023

Answer:

4.99750499002

Step-by-step explanation:

Answer:

1984

Step-by-step explanation:

(2001 + 2002 + 2003 + 2004 + 2005) by 2004

10015/2004

4 remainder 1984

Hope this helps!

Answer:

5uv+35uw+7sv-49sw

Step-by-step explanation:

u(5v+35w)+s(7v-49w)

=5uv+35uw +7sv-49sw

You need to multiply the numbers in the brackets by the number in front of the bracket.

hope it helps !!!!!