The graphs below have the same shape. What is the equation of the blue
graph?

Answer:

16w^2  - 24w + 9

Step-by-step explanation:

To simplify this, you would use the special product (a - b)^2 = a^2 - 2ab + b^2. We can correlate this with the given term so that,

a = 4w

and

b = 3

Now we just substitute into a^2 - 2ab + b^2

(4w)^2 - 2(4w)(3) + (3)^2

16w^2  - 24w + 9

==========================================================

Explanation:

(4w-3)^2 is the same as (4w-3)(4w-3) because squaring something is the same as multiplying it by itself.

Another example would be something like 7^2 = 7*7

-----------

So we're asked to expand out (4w-3)(4w-3)

Let's make x = 4w-3 and replace that first copy of '4w-3' with 'x'

We get this expression:  x(4w-3)

Distribute the x through to get...

x(4w-3)

x*4w + x*(-3)

4wx - 3x

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Now replace the x with (4w-3) and apply distribution twice more

4wx - 3x

4w(4w-3) - 3(4w-3)

16w^2 - 12w - 12w + 9

16w^2 - 24w + 9  which is the answer

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You can use the FOIL rule as an alternative method to get this answer. The box method is a visual tool to keep all the terms organized. See the attached image below for what I mean by the box method. The four terms inside the boxes represent the four terms from 16w^2 - 12w - 12w + 9, which was the second to last step we got shown above.

Yet another alternative you could use is the perfect square formula which is

(a-b)^2 = a^2 - 2ab + b^2

where in this case, a = 4w and b = 3.

Answer:

Perimeter = 9 . 4=36 ft

lateral area=(perimeter . slant height) / 2 = (36 . 12) /2 = 216 sq ft

area of the base=9*9=81 sq ft

Surface area = LA+BA = 216 + 81 = 297 sq ft

Answer:

Step-by-step explanation:

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Answer:

Hence, the answer is [tex]x>71.1515[/tex]

Step-by-step explanation:

We have,

[tex]n=100,\mu=70,\sigma=7[/tex]

The top percentage of the students is [tex]5\%[/tex]

The  lower percentage of the students is [tex]95\%[/tex]

The lowest [tex]95\%[/tex] is the left area from the normal distribution table, the area [tex]0.95[/tex] lies in the z-table

[tex]z=1.645[/tex]       from the z- table

[tex]P(z<1.645)=0.95\\P(z>1.645)=0.05\\z>1.645[/tex]

[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{\mu}} } >1.645\\x>1.645\times \frac{\sigma}{\sqrt{n}} +\mu[/tex]

   [tex]>1.645\times \frac{7}{\sqrt{100}} +70[/tex]

   [tex]\Rightarrow x>71.1515[/tex]

Answer:

a equal to five.b equal to three

b=3

The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units. So, all the options satisfy the value of a and b except (7, -9).

Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.

Then summing all those pieces' area gives us the area of the main big region.

The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.

f(x) is a linear function, the area under the curve on the interval [0,4] is a trapezoid with a height of 4 and bases of lengths f(0) and f(4).

The area of a trapezoid is the height times the average of the bases.

a. f(x)=-2x+8  f(0)=8, f(4)=0;

   area = 4(8/2) = 16

b. f(x)=x+2; f(0)=2, f(4)=6;

   area = 4(8/2) = 16

c. f(x)=3x-2; f(0)=-2, f(4)=10;

    area = 4(8/2) = 16

d. f(x)=5x-6; f(0)=-6, f(4)=14;

    area = 4(8/2) = 16

e. f(x)=7x-9; f(0)=-9, f(4)=19;

     area = 4(10/2) = 20

Thus, The area is NOT 16 for choice e.

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Answer:

[tex]y = {x}^{2} + 2x + 6 \\ y = {( - 1 + i)}^{2} [/tex]

Answe

y=(x+1)2+5

Step-by-step explanation:

9514 1404 393

Answer:

  4041 m²

Step-by-step explanation:

The area is the sum of the areas of the circle and the central rectangle.

  A = πr² + LW

  A = (3.14)(18 m)² + (36 m)(84 m) = 1017.36 m² +3024 m²

  A = 4041.36 m²

The field covers about 4041 square meters.

Answer:

Scalene,right angled triangle

Hope it helps

Answer:

m = 6

Step-by-step explanation:

(8m+4) + 38 = 90 ( since they are complementary angles )

8m + 42 = 90

8m = 90 - 42

m = 48/8

m = 6

Answer:

38+8m+4=90 degree(being perpendicular)

42+8m=90

8m=90-42

m=48/8

m=6

Step-by-step explanation:

Answer:

5in

Step-by-step explanation:

Given data

Lenght= 4 in

Width= 6 in

Height= 3 in

Applying the Pythagoras theorem,

Let the longest pencil that could fit in be z

z^2= l^2+ h^2

z^2= 4^2+ 3^2

z^2= 16+9

z^2= 25

z= √25

z= 5 in

Hence the longest pencil is 5in

Answer:

[tex] log(2x) = 2 \\ 2x = {10}^{2} \\ 2x = 100 \\ x = 50[/tex]

The value of x that satisfies this equation log(2x) = 2 is 50

The equation is given as:

log(2x) = 2

Change the equation to an exponential equation

2x = 10^2

Evaluate the exponent

2x = 100

Divide both sides by 2

x = 50

Hence, the value of x that satisfies this equation log(2x) = 2 is 50

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Answer:

If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:

Tan(θ) = y/x

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

Ctg(θ) = x/y

Sec(θ) = √(x^2 + y^2)/x

Csc(θ) = √(x^2 + y^2)/y

Ok, now we have all the equations.

We know that:

Sec(C) = 30/24

Then:

√(x^2 + y^2) = 30

x = 24

Replacing x in the first equation we get:

√(24^2 + y^2) = 30

y = √(30^2 - 24^2) = 18

Then we have:

x = 24

y = 18

√(x^2 + y^2) = 30

So we can just replace these in the equations:

Tan(C) = y/x = 18/24

Cos(C) = x/(√(x^2 + y^2)) = 24/30

Sin(C) = y/(√(x^2 + y^2)) = 18/30

Ctg(θ) = x/y = 24/18

Sec(θ) = √(x^2 + y^2)/x = 30/24

Csc(θ) = √(x^2 + y^2)/y = 30/18

Answer:

2%

Step-by-step explanation:

To solve this use the formula given

We have the share price but need the annual dividend

The quarterly dividend is .10 which means the annual dividend is just .10*4 or .4

.4/20= .02 or 2%

Answer:

2% .Hope this helps you.

Answer:

yooooooo its 2

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Step-by-step explanation:

1838584848484884727738383

Answer:

c=9.1 miles

Step-by-step explanation:

a^2+b^2=c^2

6.2^2+6.7^2=c^2

38.44+44.89=c^2

83.33=c^2

√83.33=c

c=9.12852671574

Round to nearest 10th

c=9.1

If this helps please mark as brainliest

Answer:

9.1 miles

Step-by-step explanation:

6.7²+6.2²=h² 44.89+38.44=h² 83.33=h² find the square root of 83.33

Answer:

Pretty sure its E sorry if I'm wrong I learned this like 2 years aho

Answer:

1.) 3833.8

2.) (3428.81 ; 4238.79)

Step-by-step explanation:

1.)

Point estimate of the salary for student with GPA of 3.

Using the regression model given :

Y = 2090.5 + 581.1x

x = 3

Y = 2090.5 + 581.1(3)

= 3833.8

2.)

95% confidence interval :

Y ± Tcritical * √MSE

Y = point estimate at x =3 ; = 3833.8

MSE = 21,284

Tcritical at 95% ; df = n-2 = 6-2 = 4

Tcritical(0.025 ; 4) = 2.776

√MSE = √21284 = 145.89036

Lower boundary : 3833.8 - 2.776(145.89036) = 3428.81

Upper boundary : 3833.8 + 2.776(145.89036) = 4238.79

(3428.81 ; 4238.79)

Answer:

A

Step-by-step explanation:

To find 10% of 500 you would multiply 500 by 0.1

Answer:

118

Step-by-step explanation:

Answer:

118⁰

if it is across it is the same number

Answer:

172,600

Step-by-step explanation:

hii so basically the mean is the same as average so add all together and divide by how many prices in this case there originally were

so 181,000+187,000+144,000+176,000+175,000=863,000

then divide by 5

863,000/5=172,600

hope this helped !

Answer:

Step-by-step explanation:

Answer:

the plane landed at 10:43 A.M

Answer:

The third option if you ment to type 54 and not 5.4 if you meant 5.4 then that would be 5 and four tenths.

Step-by-step explanation:

Hope this helps ❤️

Answer:

x = 7

Step-by-step explanation:

We solve the equation the following way...

[tex]\frac{1}{5}6x - 3 = \frac{1}{10}(6x + 12)\\1.2x = 0.6x + 1.2 + 3\\1.2x - 0.6x = 1.2 + 3\\0.6x = 4.2\\6x = 42\\x = 7[/tex]

Answer:

scalene Right

Step-by-step explanation:

um it has a 90 degree so yea