Help me plz? Plllzzzz?

Answer:

[tex] \mathsf{ {5x}^{2} + 28x + 21}[/tex]

Option A is the right option.

Step-by-step explanation:

Let's find the area of large rectangle:

[tex] \mathsf{(3x + 6)(2x + 4)}[/tex]

Multiply each term in the first parentheses by each term in the second parentheses

[tex] \mathsf{ = 3x(2x + 4) + 6(2x + 4)}[/tex]

Calculate the product

[tex] \mathsf{ = 6 {x}^{2} + 12x + 12x + 6 \times 4}[/tex]

Multiply the numbers

[tex] \mathsf{ = 6 {x}^{2} + 12x + 12x + 24}[/tex]

Collect like terms

[tex] \mathsf{ = {6x}^{2} + 24x + 24}[/tex]

Let's find the area of small rectangle

[tex] \mathsf{(x - 3)(x - 1)}[/tex]

Multiply each term in the first parentheses by each term in the second parentheses

[tex] \mathsf{ = x( x - 1) - 3(x - 1)}[/tex]

Calculate the product

[tex] \mathsf{ = {x}^{2} - x - 3x - 3 \times ( - 1)}[/tex]

Multiply the numbers

[tex] \mathsf{ = {x}^{2} - x - 3x + 3}[/tex]

Collect like terms

[tex] \mathsf{ = {x}^{2} - 4x + 3}[/tex]

Now, let's find the area of shaded region:

Area of large rectangle - Area of smaller rectangle

[tex] \mathsf{6 {x}^{2} + 24x + 24 - ( {x}^{2} - 4x + 3)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \mathsf{ = {6x}^{2} + 24x + 24 - {x}^{2} + 4x - 3}[/tex]

Collect like terms

[tex] \mathsf{ = {5x}^{2} + 28x + 21}[/tex]

Hope I helped!

Best regards!

Answer:

Slope = m = -5/2

Y-intercept = b = -3

Step-by-step explanation:

[tex]-5x-2y = -6[/tex]

Getting it in a slope - intercept form:

[tex]-2y = 5x+6\\Dividing \ both \ sides \ by \ -2\\y = \frac{-5x}{2} + (-3)\\y = \frac{-5x}{2} -3\\[/tex]

Comparing it wit the slope intercept equation [tex]y = mx+b[/tex] we get

Slope = m = -5/2

Y-intercept = b = -3

Answer:

Step-by-step explanation:

Use BODMAS rule:

B = Bracket

O = Of

D = Division

M = Multiplication

A = Addition

S = Subtraction

Now, let's Solve,

[tex]52 + 2 \times (9) + 6[/tex]

First, we have to multiply the numbers:

[tex] = 52 + 18 + 6[/tex]

Add the numbers:

[tex] = 76[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

1 and 3/7 hour

Step-by-step explanation:

Every hour they get 140 miles closer (100 + 40). So you divide 200 by 140 which gets you 1.42... or 1 and 3/7 of an hour.

Answer:

a = 1500

b = 0.97

Step-by-step explanation:

The equation we are modeling is ;

F(x) = ab^x

Now we have two parameters to fix.

These are the density and the annual percentage increase

We can substitute the value of 1500 for a and also make a corresponding substitution for b.

Now for b, the value to substitute is quite dicey.

3% = 3/100 = 0.03

To make any substitution, we need to subtract this value from 1 and that would be 0.97

So it is this 0.97 that we now raise x to for each of the number of years

Answer:

m arc NP = 151°

Step-by-step explanation:

m arc MN = x

m arc NP = y

5x + 6 = y

x + y = 180, I will solve with substitution

x + (5x + 6) = 180

6x + 6 = 180

6x = 174

x = 29

y = 151

Answer:

151 or c

Step-by-step explanation:

Answer:

B) 5 + 17i is your answer.

Step-by-step explanation:

In order to write this equation as a complex number in standard form, you must first simplify each term.

Apple the distributive property.

21 - 4i - 1 * 16 - (7i) + 28i

Multiply -1 by 16.

21 - 4i -16 - (7i) + 28i

Multiply 7 by -1.

21 - 4i - 16 - 7i + 28i

Now simplify by adding terms :)

Subtract 16 from 21.

5 - 4i - 7i + 28i

Subtract 7i from -4i.

5 - 11i + 28i

Add -11i and 28i.

= 5 + 17i

Answer:

see explanation

Step-by-step explanation:

If x = 3 is a zero then p(3) = 0 , that is

p(3) = 3(3)² - 27 = 3(9) - 27 = 27 - 27 = 0

Thus x = 3 is a zero of p(x)

Answer:

Step-by-step explanation:

p(x) = 3x² - 27

p(3) = 3*3² - 27

      = 3 * 9 - 27

     = 27 - 27

    = 0

p(3) =0 . Therefore, 3 is z zero of p(x)

Answer:

hi:) If chen needed 3 1/5 and 3 2/3, the answer should be 7. 7 cups. i hope this is right but feel free to correct me if im wrong.

B. 7 cups

The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.

Number of cups used to make muffins = 3 1/5

Estimation = 3 cups

Number of cups used to make banana bread = 3 2/3

Estimation = 4 cups

Number of cups of flour needs to bake both recipes = Estimated number of cups used to make muffins + Estimated number of cups used to make banana bread

= 3 + 4 cups

= 7 cups.

The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.

Learn more about fraction here:

https://brainly.com/question/78672

#SPJ2

Answer:

b)

Step-by-step explanation:

Surface area of a cube = 6a²   , here a is the side of cube

When side is halved, side = a/2

Now, the surface area of new cube = 6* (a/2)²

                                                           = [tex]6*\frac{a^{2}}{4}=\frac{1}{4}*6a^{2}\\[/tex]

                                                            = one fourth of the cube

This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.

Answer:

11 units

Step-by-step explanation:

The shaded portion of the rectangle forms the shape of a trapezium

The area of a trapezium = 1/2(a + b)h

From the diagram, we can see than x = b

a = 7 units

b = 7 units

Area of the trapezium = Area of the shaded portion = 63 square units

A = 1/2(a + b)h

63 = 1/2(7 + b)7

63 = 1/2(49 + 7b)

63 × 2 = 49 + 7b

126 - 49 = 7b

7b = 77

b = 77/7

b = 11 units

Since x = b, x = 11 units

The value of x is 11

Start by calculating the area (A) of the trapezoid using

[tex]A= 0.5 * (a + b)h[/tex]

Using the parameters from the complete question, we have:

[tex]63 = 0.5 * (7 + x) * 7[/tex]

Multiply both sides by 2

[tex]126 = (7 + x) * 7[/tex]

Divide both sides by 7

[tex]18 = 7 + x[/tex]

Subtract 7 from both sides

[tex]x = 11[/tex]

Hence, the value of x is 11

Read more about shaded areas at:

https://brainly.com/question/24579466

Answer:

$35

Step-by-step explanation:

Using the formula provided, d=(p−c)÷2 (where d is the discount, p is the original price, and c is the store's cost for the dress.) we can determine the discount.

The original price is 120,

d=(120−c)÷2

The store's cost is 50,

d=(120−50)÷2

So we subtract 120 and 50 to get

d=(70)÷2

70 divide by two is

d= 35

The discount is $35

Answer/Step-by-step explanation:

The scale factor is missing in the question. However, here's how to find the length of the new radius if given a known scale factor.

Length of new radius = length of the radius of the dilated circle × scale factor of dilation

Length of the radius of the dilated circle is given as 18m

Therefore,

Length of new radius = 18m × scale factor.

If the scale factor is a fraction, it means the new length would be smaller than 18m. But if the scale factor is a whole number, the new length of the radius would be greater than 18m.

Let's assume any of the following scale factors was what was given in the question:

*If scale factor given is ½, new radius length = 18m × ½ = 9m

*If scale factor given is 2, new radius length = 18m × 2 = 36m

Answer:

The highest or the lowest point on the graph is the vertex of an absolute-value function!

Step-by-step explanation:

If Amir is not courageous, then he will not join the indian army.

Answer:

1 Pound of Rock = .01 cubic feet

OR 100 pounds per cubic foot

A) Company needs 500,000 pounds of rock

Volume of Rock to be transported: = 500,000 * .01 =

5,000 cubic feet

B) Volume of each truck 12 * 9 * 8 = 864 cubic feet

C) Trucks needed for entire shipment:

= 5,000 / 864 = 5.78

So, we'll need 6 trucks.

Step-by-step explanation:

Answer:

b=3a/8

a=8b/3

Step-by-step explanation:

b/a=k ( k is the constant proportional)

3/8=9/24=15/40

b/a=3/8

b=3a/8

a=8b/3

I hope this is right answer

Answer:

90°

I think.

Step-by-step explanation:

Cause... As you see it's a right angle triangle... And also when you ad 6+15 u get 90...

I

Answer:

Hey there!

Let the cost of one uniform be c, so the expression becomes

c+13+11+18

Thus, we have c+42

Hope this helps :)

Answer:

32

Step-by-step explanation:

13+11+8=32

Answer:

Option D. 5 EE 6 ÷ 6.6 EE 4

Step-by-step explanation:

Data obtained from the question include the following:

Area of land purchased = 6.6×10^4 square miles

Cost = $ 5×10^6

To determine the key strokes on a calculator which will give the cost the

United States paid for each square mile of Florida, let us calculate cost of 1 square mile.

This can be obtained as follow:

6.6×10^4 sq mile = $ 5×10^6

Therefore,

1 sq mile = $ 5×10^6 ÷ 6.6×10^4

In calculator, the key strokes will be:

5 EE 6 ÷ 6.6 EE 4

Answer:

Like Eduard22sly said D). 5 EE 6 ÷ 6.6 EE 4 is correct.

plus i took the test 100% :)

Answer:

4[tex]x^{2}[/tex]+6x-5

Step-by-step explanation:

Factor out 8x from the numerator.

Answer:38.4

Step-by-step explanation:

(32x3)+(48x2)-40x/8x

96+96-40x/8x

192-5x=0

192=5x

192/5=38.4

Answer:

D

Step-by-step explanation:

This is an illustration of Pythagoras' identity.

The square on the hypotenuse x of a right triangle is equal to the sum of the squares on the other 2 sides, that is

x² = 8² + 6² = 64 + 36 = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10 cm → D

Answer:

D. 10 cm

The answer is 10 cm. This can be found through the use of Pythagorean. Theorem because it is a right triangle and you are finding the hypotenuse.

HOPE THSI HELPS

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Answer:

[tex]y = .5x^2 -2x -5[/tex]

Step-by-step explanation:

Well we can start by seeing if the parabola is the same width by comparing it to its parent function ( y = x^2 )

In y = x^2 the 2nd lowest point is just up 1 and right 1 away from the vertex.

This is not true for our parabola.

So we can widen it by to the desidered width by making the x^2 into a .5x^2.

So far we’ve got y = .5x^2

Now the parabola y intercept is at -5.

So we can add a -5 into the equation making it.

y = .5x^2 - 5

Now for the x value.

So we can find the x value by seeing how far away the parabola is from from the y axis.

So the x value is -2x.

So the full equation is [tex]y = .5x^2 -2x -5[/tex]

Look at the image below to compare.

Answer:  [tex]Vertex: y=\dfrac{1}{2}(x-2)^2-7[/tex]

               [tex]Standard: y=\dfrac{1}{2}x^2-2x-5[/tex]

               Transformations: vertical shrink by a factor of 1/2,

                                            horizontal shift 2 units to the right,

                                            vertical shift 7 units down.

Step-by-step explanation:

Vertex form: y = a(x - h)² + k

Standard form: y = ax² + bx + c

Given: Vertex (h, k) = (2, -7), the y-intercept (0, c) = (0, -5)

Input those values into the Vertex form to solve for the a-value

-5=a(0 - 2)² - 7

2 = a(- 2)²

2 = 4a

[tex]\dfrac{1}{2}=a[/tex]

a) Input a = 1/2 and (h, k) = (2, -7) into the Vertex form

[tex]\large\boxed{y=\dfrac{1}{2}(x-2)^2-7}[/tex]

b) You can plug in a = 1/2, c = -5, (x, y) = (2, -7) to solve for "b"

    or

   You can expand the Vertex form (which is what I am going to do):

[tex]y=\dfrac{1}{2}(x-2)^2-7\\\\\\y=\dfrac{1}{2}(x^2-4x+4)-7\\\\\\y=\dfrac{1}{2}x^2-2x+2-7\\\\\\\large\boxed{y=\dfrac{1}{2}x^2-2x-5}[/tex]

c) Use the Vertex form to describe the transformations as follows:

[tex]y=\dfrac{1}{2}(x-2)^2-7[/tex]

a = 1/2  --> vertical shrink by a factor of 1/2

h = 2    --> horizontal shift 2 units to the right

k = -7   --> vertical shift 7 units down

Answer:

The answer is

[tex]y = \frac{4}{5} x - 6[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

m / slope = 4/5

c / y intercept = - 6

Substituting the values into the above formula

We have the final answer as

[tex]y = \frac{4}{5} x - 6[/tex]

Hope this helps you

Answer:

the  correct answer is C.

Step-by-step explanation:

i got it right on edge 2020

Answer:

4

Step-by-step explanation:

Given:

A, B, C, D have distinct positive values for mod 6

A (mod 6) = 1

B (mod 6) = 2

C (mod 6) = 4

D (mod 6) = 5

Each mod 6 value cannot be a zero since the product ABCD is not a multiple of 6.

Furthermore, in order that ABCD mod 6 > 0, we cannot  have a residue equal to 3, else the product with a residue 2 or 4 will make the product a multiple of 6.

Thus the only positive residues can only be 1,2,4,5

A*B*C*D  (mod 6) > 0  = 1*2*4*5 (mod 6) = 4

Answer:

Option D.

Step-by-step explanation:

From the given it is clear that the horizontal line intersect the y-axis at -1. So, the equation of horizontal line is y=-1.

The curves represent the graph of [tex]y=\tan x[/tex].

We need to find the equation which is represented by the intersection of the graphs.

We have two equations one is for curve and another for horizontal line.

[tex]y=\tan x[/tex]

[tex]y=-1[/tex]

Equate both equations to get the equation which is represented by the intersection of the graphs.

[tex]\tan x =-1[/tex]

Therefore, the correct option is D.

Answer:

m² - 100 = -99

Step-by-step explanation:

Two numbers are 10 units away from the midpoint m in different directions.

So, one number is (m + 10 ) away form 'm' and another is ( m + 10) away from 'm' in opposite direction.

(m + 10) ( m-10) = -99

m² - 10² = -99

m² - 100 = -99

Answer:

Step-by-step explanation:

y=x²+3

vetex=(h,k) in the equation : ax²+bx+c

y=x²+3 ( a=1,b=0,c=0)

h=-b/2a=0

k=c=3

x = 64°

Step-by-step Explanation

x = 1/2[(360° - 2*58°)-2*58°]

x = 1/2[(360° - 2*58°) - 2*58°]

x = 1/2[(360° - 116°) - 116°]

x = 1/2[244° - 116°]

x = 1/2[128°]

x = 64°