Factor the following polynomial: "4x2−16"

Answer:

98

Step-by-step explaination:

For this question, it is a direct variation. Hence, the equation would be formed accordingly, and the constant k would also be used.

z varies directly as x²

z= kx² where k is the constant

z = 8

x = 2

Putting the figures in the equation, we have

8=2²(k)

8= 4k

Dividing both sides by 4, we have

k = 8/4

k = 2

Solving for z now, we substitute k with 2. And x with 7

z=kx²

z = 2(7²)

z= 2(49)

z= 98

If it were indirect variation, the constant would have been 1/k. We also have other types of variation, Indirect variation, partial variation and joint variation.

Step-by-step explanation:

pi×diamiter = circumference

pi÷circumference = diamiter

3.14159265358979 (pi) ÷ 16

Calculate the diameter of a cylindrical pipe with a circumference of 16cm using the formula C = πd. Hence the diameter of the pipe is approximately 5.09 cm.

The circumference of a cylindrical pipe is related to its diameter through the formula C = πd, where C is the circumference, π is Pi (approximately 3.14159), and d is the diameter. Given that the circumference is 16 cm, we can use the formula to solve for the diameter:

16 = πd

16 = 3.14159d

d = 16 / 3.14159 ≈ 5.09 cm

Therefore, the diameter of the pipe is approximately 5.09 cm.

Answer:

x = 2

Step-by-step explanation:

Step 1:  Set 3x - 2 equal to 5x - 6 to get x

3x - 2 = 5x - 6

Step 2:  Solve for x

3x - 2 + 6 - 3x = 5x - 6 + 6 - 3x

4 / 2 = 2x / 2

2 = x

Answer:  x = 2

Answer:

2

Step-by-step explanation:

5x-6=3x-2

5x-3x=-2+6

2x=4

x=2

Answer:

Stefan has 12 friends. He's very popular

Step-by-step explanation:

Answer:

27719

Step-by-step explanation:

The population after 14 years, to the nearest whole number is 27,719.

Given that,

The calculation is as follows:

[tex]= 14,000 \times (1.05)^14[/tex]

= 27,719

Learn more: brainly.com/question/16911495

About 71.96% of the cylindrical water tank, with a radius of 5 feet and a height of 10 feet, is filled with water when it contains 565.2 cubic feet of water.

To determine what percent of the tank's volume is filled with water, we must first calculate the total volume of the cylindrical tank using the formula for the volume of a cylinder: V = (pi)r²h. Here, the radius r is 5 feet, and the height h is 10 feet.

The total volume V of the tank is:

V = (pi)(5 feet)²(10 feet) = 3.14159 times 25 times 10 = 785.398 cubic feet

Now, since the volume of water in the tank is given as 565.2 cubic feet, we can calculate the percent of the tank's volume that is filled with water by dividing the volume of water by the total volume of the tank and then multiplying by 100 to convert to a percentage. So the calculation becomes:

Percent filled = ([tex]\frac{565.2}{785.398}[/tex]) times 100

Percent filled approx 71.96%

Therefore, about 71.96% of the tank's volume is filled with water.

Answer:

[tex]B) \frac{DE }{EA} =\frac{CB}{AC}[/tex]

Step-by-step explanation:

If ant two given triangles are SIMILAR, then they have equal corresponding angles and their corresponding sides are PROPORTIONAL.

For example: if Δ ABC ≈ Δ PQR, then

∠A  = ∠P  , ∠B  = ∠Q  and ∠C  = ∠R

and [tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}[/tex]

Now, here given:  Δ ADE ≈ Δ ABC

Then by the SIMILAR postulate their corresponding angles are equal and their corresponding sides are Proportional.

[tex]\implies \frac{AD}{AB} = \frac{DE}{BC} = \frac{AE}{AC}[/tex]    ............. (1)

Consider from above:

 [tex]\frac{DE}{BC} = \frac{AE}{AC}\\\implies \frac{DE}{AE} = \frac{BC}{AC}[/tex] ............. (2)

Here, the given options are:

[tex]A) \frac{EA }{DE} =\frac{CB}{AC}[/tex]     FALSE

[tex]B) \frac{DE }{EA} =\frac{CB}{AC}[/tex]   TRUE    (from 2)

[tex]C) \frac{DE }{EA} =\frac{AC}{CB}[/tex]   FALSE

[tex]C) \frac{EA}{DE} =\frac{AC}{CB}[/tex]    FALSE

Answer:

b

Step-by-step explanation:

took test

Answer:

[tex]x=-1\\y=7[/tex]

Step-by-step explanation:

Given equations:

[tex]-8x+5y=43[/tex]    Equation:1

[tex]-8x+4y=36[/tex]     Equation:2

As the coefficients of 'x' are same which will eliminate the terms of 'x':

Subtracting Equation:2 From Equation:1

        [tex]-8x+5y-(-8x+4y)=43-36\\\\-8x+5y+8x-4y=7\\\\5y-4y=7\\\\y=7[/tex]

Putting value of 'y' in either equation:1 or 2

Putting y=7 in equation:2

   [tex]-8x+4y=36[/tex]

    [tex]-8x+4(7)=36\\\\-8x+28=36[/tex]

Subtracting '28' from both side:

     [tex]-8x+28-28=36-28\\\\-8x=8\\[/tex]

Changing the sides:

       [tex]8x=-8[/tex]

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

The values are :        

                             [tex]x=-1\\y=7[/tex]

Answer:

The axis of symmetry is -9

Step-by-step explanation: The AOS will always be the x value of your vertex.

Answer:

4x=8y

Step-by-step explanation:

Ok so a number multiplied by 4 equal  a number multiplied by 8.

Both numbers can't have the same variable because if they had the same varable that means they are the same number which in that case means Marcy is wrong but we know she is right because Mr.Kim said so.

let's plug in numbers. If they had the same variable it would be:-4x=8x

                                                                                         let x=2,    4(2)=8(2)

                                                                                                           8=16 not true

if the variables were not the same:-4x=8y

                                   let x=4

                                   let y=2          4(4)=8(2)

                                                          16=16 true                                    

Answer: here it is graphed and it cant be solved because there are no solutions as seen on the graph!

Step-by-step explanation: hope i helped please mark brainliest!

Answer:

(-5)

( 1 )

Step-by-step explanation:

the image is 1 units upper than object and 5 units behind the object therefore

x=-5

y=1

Answer:

The player that placed the knight after the first person at the start of the game. There in his turn whatever role the knight played he both had opportunity to space each knight strategically and use the knight to protect whatever wins the game.

Step-by-step explanation:

Maths is 81/80 =1

Answer:

2 ( 7r - 4 )

Step-by-step explanation:

14r - 8

To factor this expression, you must pull the factor 2 outside the expression by basically reversing the distributive property:

14r - 8  =  2 ( 7r - 4 )

Answer:

The y -intercept is the point  (0, -4).

Step-by-step explanation:

The slope of the perpendicular line = -1/m

= -1/-1 = 1.

So it is y = x + b.

To find b we substitute the point (-3, -7):

-7 = -3 + b

b = -7 + 3 = -4.

The y -intercept is the point (0, -4).

Answer:

Lines that have a slope of -3

Step-by-step explanation:

Take the negative reciprocal of 1/3 and all lines that have that as the slope are perpendicular

Answer:

1. y + 2 = –3(x – 4)

3. y = -3x – 5/3

5. 3x + y = 7

Step-by-step explanation:

because yes

Answer:

Step-by-step explanation:

Cost of paint brushes= Total cost - cost of paint

                                   = 71 - 50 = $21

No.ofpaint brushes =21/3.50 = 21*10/3.5*10

                                 = 210/35 = 6

Answer:

Natasha paid $6 per paintbrush

Step-by-step explanation:

we can make use of variables

p = paint

b = brushes

bought paintbrushes and paint for a total of $71. . The brushes cost $3.50 per brush and the paint cost $50

we can create an equation from the information

3.5b + 50p = 71

since 1 paint is bought

3.5 b + 50 (1) = 71

3.5b = 71 - 50

3.5b = 21

b = 21/3.5

b = 6

Answer:

5b+5y

Step-by-step explanation:

Answer:

i believe the answer is c

Step-by-step explanation:

Answer:

by 2

Step-by-step explanation:

Answer: 2 seconds

Step-by-step explanation:

A computer company is testing a new booster to increase program load times. The box plots show the number of seconds it takes to load a program with and without the booster. Using these plots, how much did the median change?

Answer:

see explanation

Step-by-step explanation:

sin M = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KL}{ML}[/tex] = [tex]\frac{2\sqrt{11} }{12}[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex]

tan M = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{2\sqrt{11} }{10}[/tex] = [tex]\frac{\sqrt{11} }{5}[/tex]

The solutions to f(x) = 64 is x = 7 and x = –7.

Solution:

Given data:

[tex]$f(x)=x^{2}+15[/tex] and [tex]f(x)=64[/tex]

To find the solutions when f(x) = 64.

Both are equations of f(x), so equate the given equations, we get

[tex]x^2+15=64[/tex]

Subtract 15 from both sides of the equation.

[tex]x^2+15-15=64-15[/tex]

[tex]x^2=49[/tex]

49 can be written as 7².

[tex]x^2=7^2[/tex]

Taking square root on both sides of the equation, we get

x = ±7

The solutions to f(x) = 64 is x = 7 and x = –7.

Answer:

The leading coefficient is -7

Step-by-step explanation:

The leading coefficient is the number in front of the highest power variable.  In this case, the highest variable is x^2 and in front of it is -7.  Therefore, the leading coefficient is -7

Answer:  The leading coefficient is -7

16/3. You can use a calculator and divide 96/18, then convert to a fraction by using the math button.

Answer:

16/3

Step-by-step explanation:

Divide the numerator and the denominator by 6

Answer: x = -1

Calculation/Explanation:

11x-3 = x-13

11x-3 -x = x-13 -x

10x-3 = -13

10x-3 +3 = -13 +3

10x = -10

10x /10 = -10/10

x = -1

Answer:

Answer is 5

Step-by-step explanation:

if you have any doubts see the image

The Pythagorean Theorem was used on a right triangle with sides of length 4 to find that the hypotenuse has a length approximately equal to 5.7.

Here, your task is to apply the Pythagorean Theorem which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, both a and b are given as 4. We can therefore calculate c as follows:

https://brainly.com/question/19649203

#SPJ2

Answer:

a) 675 000

b) 685 000

Step-by-step explanation:

The population of a town is 680 000 correct to the nearest 10 000.

a) To find it lower bound, we level of accuracy by 2 and then subtract from 680 000

The lower bound is:

680 000-5000=675,000

Therefore the least possible population of the town is 675 000

b) We repeat the same process to find the upper bound

680 000+5000=685,000

Answer:

(2, 1) is the point.

D. 2