raise r to the 7th power, then double the result

The roots of the given quadratic equation are 6 and -4.

The given quadratic equation is:

[tex](x-4)(x+2)=16[/tex]

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].

[tex]x^{2} -2x-8=16[/tex]

[tex]x^2-2x-24=0[/tex]

[tex]x^{2} -6x+4x-24=0[/tex]

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

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

[tex]x=6[/tex]

[tex]x=-4[/tex]

Hence, the roots of the given quadratic equation are 6 and -4.

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Answer:

The factored form of the equation is (x + 4)(x – 6) = 0.

(option C)

Answer:

should be a. took the test and It was horrible. I remember trying and forgot how to do everything beother

Step-by-step explanation:

no balls

Answer:

don't use this this is just a guess but I think that it is the lowest possible one so A It coulld be wrong

Step-by-step explanation:

E

Step-by-step explanation:

Answer:

i think its y=-1

Step-by-step explanation:

hope u get it right

Answer:

1440 square inches of fabric

Step-by-step explanation:

Answer:

1440 square inches of fabric

Step-by-step explanation:

Solve for 1 banner

Area of 1 banner:

12*20/2

12*10

120.

12 banners,

12*120

= 1440 square inches of fabric

(or other types of material)

Answer:

The circumference is 125.7cm

Answer:

huhh

Step-by-step explanation:

Answer: just graph it using the x and y coordinate points

Step-by-step explanation:

Answer:

(-4, -2)

Step-by-step explanation:

Rewrite the equations to make y the subject, so that it's easier to calculate the points on each line:

Equation 1

x - y = -2

⇒ x + 2 = y

⇒ y = x + 2

Equation 2

2x - 3y = -2

⇒ 2x + 2 = 3y

⇒ y = (2/3)x + 2/3

Calculate 2 points on each line:

Equation 1  (blue line on attached graph)

Substitute x = 0 and x = -2 into Equation 1 to create 2 points:

x = 0:   y = 0 + 2  ⇒ (0, 2)

x = -2:   y = -2 + 2  ⇒ (-2, 0)

Plot the points and draw a line through them.

Equation 2 (red line on attached graph)

Substitute x = 2 and x = -1 into Equation 1 to create 2 points:

x = 2:   y = (2/3)(2) + 2/3  ⇒ (2, 2)

x = -1:   y = (2/3)(-1) + 2/3  ⇒ (-1, 0)

Plot the points and draw a line through them.

Solution

The solution is the point where the two lines intersect.

Therefore, the point of intersection is (-4, -2)

Melanie write the quadratic equation x^2 + 4x - 2 according to the directions that write a trinomial that could not be factored using integers.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

Patricia wrote:

[tex]\rm x^2+5x-14=0\\\\\rm x^2 -2x+7x-14=0\\\\\rm (x-2)(x+7)[/tex]

Shelly wrote:

[tex]\rm x^2-x-30=0\\\\\rm x^2-6x+5x-30=0\\\\\rm (x-6)(x+5)=0[/tex]

Melanie wrote:

[tex]\rm x^2+4x-2=0[/tex]

Here is the value of D:

[tex]\rm D = \sqrt{4^2-4(1)(-2)}[/tex]

D = √24

Lisa wrote:

[tex]\rm x^2+4x-5=0\\\\\rm x^2-x+5x-5=0\\\\\rm (x-1)(x+5)[/tex]

Thus, Melanie write the quadratic equation x^2 + 4x - 2 according to the directions that write a trinomial that could not be factored using integers.

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Answer:

no idea sorry

Step-by-step explanation:

.... .. . .... ...... . . .   .     ..      ...     ..        .         .

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Correct answer is: B: y ≤ 0

Step-by-step explanation:

Answer:

-4 and 4

Step-by-step explanation:

Method 1

Apply Difference of Two Squares Formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]

Given  [tex]x^2-16=0[/tex]

Rewrite 16 as 4²

Therefore, [tex]a^2=x^2[/tex] and [tex]b^2=4^2[/tex]

[tex]\implies a = \sqrt{x^2}=x[/tex]

[tex]\implies b=\sqrt{4^2} =4[/tex]

[tex]\implies x^2-16^2=(x+4)(x-4)[/tex]

[tex]\implies (x+4)(x-4)=0[/tex]

[tex]\implies (x+4)=0 \implies x=-4[/tex]

[tex]\implies (x-4)=0 \implies x=4[/tex]

Method 2

Given equation:

[tex]x^2-16=0[/tex]

Add 16 to both sides:

[tex]\implies x^2-16+16=0 + 16[/tex]

[tex]\implies x^2=16[/tex]

Square root both sides:

[tex]\implies \sqrt{x^2}=\sqrt{16}[/tex]

[tex]\implies x=\pm4[/tex]

Therefore, x = -4, x = 4

Answer:

Part A=7

Part B=7

Step-by-step explanation:

Part A = 7+9=16

Part B = 4 times 7= 28

Answer:

Mitch did not make a mistake

Step-by-step explanation:

The -2 and 2 on the right side cancel out and so you are left with 7.7-2=w. Combine like terms and your left with 5.7=w

Answer:

42

Step-by-step explanation:

2x = 84

x = roses

x = 84/2

x = 42

Answer:

$42.00

Step-by-step explanation:

You divide 84 by 2 and find the answer 42. Therefore, each rose is 42 dollars.

Answer:

D + E = 2x⁴ + x³ –  3x²   + x + 1

D - E  = 9x³ +  x²   + x – 3

Step-by-step explanation:

D = x⁴ + 5x³ – x² + x – 1

E = x⁴ – 4x³ – 2x² + 2

D + E :                                                   D - E :

 x⁴ + 5x³ –  x²   + x – 1                          x⁴ + 5x³ –  x²   + x – 1  

+                                                         –                                                                  

 x⁴ – 4x³ – 2x² + 0 + 2                         x⁴ – 4x³ – 2x² + 0 + 2

_________________                      _________________

2x⁴ + x³ –  3x²   + x + 1                          0  +  9x³ +  x²   + x – 3

Answer:

The answer is (A) or 3/4.

Step-by-step explanation:

By plugging in a through d, the only one that gave an acurate answer was A.

2(6-2x) - 2x = 2(5+x)-4

turns into

2(6-2[3/4]) - 2[3/4] = 2(5+[3/4]) -4

Hope this helps!

Answer:

Step-by-step explanation:

In the question we're given with an equation i.e.,

And we are asked to find the value of x .

Solution :

[tex] \longmapsto \: 2 ( 6 - 2x ) - 2x = 2 ( 5 + x ) - 4 [/tex]

Step 1 : Solving parenthesis by multiplying it with 2 on both the sides :

[tex] \longmapsto \: 12 - \bold{4x} - \bold{2x} = \bold{10} + 2x - \bold{4}[/tex]

Step 2 : Adding like terms on left hand side and subtracting like terms on right hand side :

[tex] \longmapsto \: 12 - 6x = 2x + 6[/tex]

Step 3 : Transposing 12 to right hand side and 2x to left hand side :

[tex] \longmapsto \: -2x - 6x = 6 - 12[/tex]

On further calculations we get :

[tex] \longmapsto \: \cancel{ - }8x = \cancel{- }6[/tex]

Step 4 : Transposing 8 to right hand side :

[tex] \longmapsto \: x = \frac{\cancel{6}}{\cancel{8}} [/tex]

Step 5 : Cancelling 6/8 to their simplest form :

[tex] \longmapsto \: \pink{\boxed{x = \frac{3}{4} }}[/tex]

The range of the frame width for the considered case is 0.5 (feet), because for this case, it can be at max of 0.5 feet, and at minimum of 0 feet.

For a set of data, the range is the difference between the maximum and minimum value. It sort of gives an idea of spread of the data.

For this case, we're given that:

Perimeter of a rectangle = 2(length + width)

Let 'l' denotes length, and 'w' denotes width, then we get:

[tex]Perimeter \leq 4\\2(l+w) \leq 4\\2(1.5 + w) \leq 4\\\\\text{Dividing both the sides by 2}\\\\1.5 + w \leq 2\\\\\text{Subtracting 1.5 from both the sides so as to get 'w' on one side}\\\\w \leq 0.5[/tex]

Now since the lowest value of width of a frame can be zero only, therefore, we get:

[tex]0 \leq w \leq 0.5[/tex]

Thus, the range of values 'w' can assume is: 0.5 - 0 = 0.5

Thus, the range of the frame width for the considered case is 0.5 (feet), because for this case, it can be at max of 0.5 feet, and at minimum of 0 feet.

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Answer:

2/3 lemon's per cup.

Step-by-step explanation:

10÷15=2÷3 .

Please give me brainliest.Thank you. :-):-)

[tex] \huge\fbox\green{ANSWER} [/tex]

Area is the amount of space taken up by a 2D shape

Answer:

The area is the extent or measurement of a surface or piece of land. You find out the area by doing the height x the Width.

Hope this helps..

Step-by-step explanation:

Answer: 14 Animals

Step-by-step explanation: Made of 3 dogs and 11 Cats

Dogs( 11-8)

Answer:5cm

Step-by-step explanation: Area =length × breadth

Volume = length ×breadth ×height

180= Area ×height

180 = 36×h

180÷36=h

Ans 5

Answer:

3x2+9x−5

Step-by-step explanation:

You just have to add the like terms

Answer:

3x² + 9x - 5

Step-by-step explanation:

Group like terms:

3x² + 6x - 10 + 3x + 5

3x² + 9x -5

hope this helps :)

Using the slope concept, it is found that the horizontal distance from the base of the skyscraper out to the ship is of 961.6 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

Hence:

[tex]\tan{48^\circ} = \frac{1068}{x}[/tex]

[tex]x = \frac{1068}{\tan{48^\circ}}[/tex]

x = 961.6

The horizontal distance from the base of the skyscraper out to the ship is of 961.6 feet.

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The Inference that can be made from the survey is: B. On average, it will take 4 hours to complete a round of golf at Green Tee's golf course.

Survey can be defined as the process of collecting data or informationso as to reach or draw a conclusion.

The survey analysis shows that it will take an average of 4 hours for an experience golfers to complete or finish a round of golf based on the fact that the golfers all had previous experience.

Therefore on average, it will take 4 hours to complete a round of golf at Green Tee's golf course.

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The mass of the object which is at 3 meters off the ground (earth assumingly), with the potential energy of 150 joules is given by: Option C: 5.10 kg

Gravitational potential energy is the energy which a body posses because of its position.

The gravitational potential energy of a body is given as,

[tex]U=mgh[/tex]

Here, (m) is the mass of the body, (g) is the gravitational accelaration and (h) is the height of the body.

Here, for the second object, we have:

Let its mass be m kg, then:

[tex]U=mgh\\\\150 = m(9.8)(3)\\\\m = 50/9.8 \approx 5.10 \: \rm kg[/tex]

Thus, the mass of the object which is at 3 meters off the ground (earth assumingly), with the potential energy of 150 joules is given by: Option C: 5.10 kg

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The total score of Melissa and Tomas who are playing a game with complex numbers is 8-2i.

A complex number is the combination of real and imaginary number. It can be written as,

[tex]a+bi[/tex]

Here, (a) is a real number and (b) is an imaginary number.

Melissa and Tomas are playing a game with complex numbers.  Melissa has a score of 5 – 4i and Tomas has a score of 3 2i. The sum of their score is,

[tex]S=5 -4i +(3+2i)\\S=5+3-4i+2i\\S=8-2i[/tex]

Hence, the total score of Melissa and Tomas who are playing a game with complex numbers is 8-2i.

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Answer:

8-2i

Step-by-step explanation:

c

Answer:

the median is 15, there is no mode.

Step-by-step explanation:

to find the median- put the numbers in order from least to greatest (13,14,14,16,16,19) use a sheet of paper and cross off each number on the ends until you get to the middle. Once you have reached the middle you should have the two numbers 14, 16. Take 14 and 16, add them together and you will get 30. Divide 30 by 2 because there is two numbers for the median. You should end with 15 as your median.

to find the mode- find the number that occurs the most in the set of numbers, in this case all numbers occur the same amount of times, so therefor there is no mode.

happy to help<33.