Algebra help please!

Answer:

The correct answer is "[tex]64*x^2 - 16[/tex]".

Step-by-step explanation:

The product [tex](8*x - 4)*(8*x + 4)[/tex] is a notable product, which happens when we have the product of the sum of two values with the subtraction of these same two values. In cases like this the answer will always be the first term squared minus the second term squared, therefore we have:

[tex](8*x - 4)*(8*x + 4) = 64*x^2 - 16[/tex]

The correct answer is "[tex]64*x^2 - 16[/tex]".

Answer:

64x^2 -16

took the test

Answer:

c

Step-by-step explanation:

We have a = 2, b = -8 and c = 25

D = b² - 4ac = (-8)² - 4 * 2 * 25 = 64 - 200 = -136

Since D < 0, the answer is no real solutions.

Answer:

Step-by-step explanation:

Hello,

The circumference of the cake is 25(1/7), but we don't know the area of the cake.

Assuming the cake has a shape of a circle,

Circumference of a circle = 2πr

Where r = radius of the circle.

Area of a circle = πr²

But π = 22 / 7

We have to first find the value of r.

2πr = 25(1/7)

2×(22/7)×r = 25(1/7)

(44/7)r = 176 / 7

(44 × 7)r = 176 × 7

44r = 176

r = 176 / 44

r = 4 inches

Area of the circle = πr²

A = (22 / 7) × 4²

A = 22 / 7 × 16

A = 352 / 16

A = 22 (inches)²

The area of the cake is 22in²

Answer:

y=135

Step-by-step explanation:

To find the solution, we must put 7 in for x and solve, as shown:

[tex]y=310-(25)(7)\\y=310-175\\y=135[/tex]

Answer:

A) 2.5

B) 7/3

C) 11/4

Step-by-step explanation:

A)

4x-1/2=x+7

3x-1/2=7

3x=7.5

x=2.5

B)

3x+2=2x+13/3

x+2=13/3

x=7/3

C)

2x-7/4=x+3/3

x=11/4

Hope this helps!

Answer:

c.15 to 10

Step-by-step explanation:

The ration 12 to 8 means that for every 12 lions there are 8 tigers in the zoo.

Ratios have the quality of conservate their meaning when both values in the ratio are multiplied or divided by the same number.

For example:

a ratio of 2 to 4 is the same as a ratio of 3 to 6 (both values are multiplied by 1.5 (or in fraction by 3/2) ).

in the same way that the ratio 9 to 3 is the same as 3 to 1 (divide both values by 3).

In this case we are looking for an equivalent ratio to the 12 to 8 ratio, the answer is

c.15 to 10

because this results from multiplying the two original values by 1.25 or, in fraction, by 5/4. You can see this becase

12*1.25 = 15

and

8*1.25 = 10

we get that when we multiply the ratio 12 to 8 by 1.5 the equivalent ratio is option C.

Answer:

15.5^2 + 14.0^ = 20.8^2

436.25 = 432.64

it is not a triangle because a+b is not = c

Answer: These given lengths do not make up a right triangle.

Step-by-step explanation:

In order to figure out if this is a right triangle or not, we would need to use the Pythagorean Theorem in order to verify if these lengths satisfy the properties of a right triangle. We would need to use the formula a^2 + b^2 = c^2.

14^2 + 15.5^2 = 20.8^2

196 + 240.25 = 432.64

436.25 ≠ 432.64

Therefore, this is not a right triangle.

Answer:

c. hyperbola, (1,-1)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given

x² - 13x + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 13)

The factors are - 3 and - 10, since

- 3 × - 10 = + 30 and - 3 - 10 = - 13 , thus

x² - 13x + 30 = (x - 3)(x - 10) ← in factored form

Thus (x - 3) is a factor of the polynomial → A

Answer:

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

Answer A is correct

Step-by-step explanation:

[tex]{x}^{2} - 13x + 30 \\ {x}^{2} - 10x - 3x + 30 \\ x(x - 10) - 3(x - 10) \\ = (x - 3)(x - 10)

\\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]1/65536[/tex]

Step-by-step explanation:

[tex]4^-8 \times 4^0[/tex]

[tex]1/4^8 \times 1[/tex]

[tex]1/4^8[/tex]

[tex]=0.00001525878[/tex]

Answer:

[tex]\frac{1}{4^{8} }[/tex] or [tex]4^{-8}[/tex] but the correct way would be [tex]\frac{1}{4^{8} }[/tex]

Step-by-step explanation:

Last time I did this I was like in 8th grade so I had to watch a video lol, but basically... If you want the answer to stay in exponential form and if the base number is the same than all you gotta do is add or subtract the exponents.

-8+0=-8

But when it's a negative exponent you gotta make it positive by flipping it, so instead of [tex]4^{-8}[/tex] it will be [tex]\frac{1}{4^{8} }[/tex]

With that information we can create the equation

10x + 5000 = 20x

where x is the number of earphones produced

10x is the cost to make each earphone, 5000 being the fixed costs of manufacturing, and 20x being the total revenue of selling each earphone for $20

Now to solve the equation:

subtract both sides by 10x

10x - 10x + 5000 = 20x - 10x

5000 = 10x

Now divide both sides by 10

5000/10 = 10/10 x

500 = x

Answer: D

Hope it helps :)

500 earphones must be produced to get the cost price of one ear phone of $20.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

The start-up costs for manufacturing earphones is $5,000.

Also, the cost to make earphones is $10.

Let x number of  earphones will produced to get a cost per unit of $20.

From the given conditions, we will get a linear equation in one variable

10x + 5000 = 20x

⇒ 5000 = 20x -10x

⇒ 5000 = 10x

⇒ x = 500

Hence, 500 earphones must be produced to get the cost of earphone of $20.

Learn more about linear equation in one variable here:

https://brainly.com/question/17139602

#SPJ2

Answer:

hope this is correct

Answer:

Step-by-step explanation:

The percentile for the z scores are gotten from the normal distribution table. The z cores are already known.

1) For the ChatLong company, the z score is 0. The area corresponding to the z score from the normal distribution table is 0.5. Therefore, the percentile is

0.5 × 100 = 50%

2) For the Talk-a-lot company, the z score is 1. The area corresponding to the z score from the normal distribution table is 0.84. Therefore, the percentile is

0.84 × 100 = 84%

Answer: Her average speed was 480 km/ 5h which is 96.

Step-by-step explanation: When she went there her speed 120 km/ h and if the distance was 240 km, then it took her 2 hours to get there. 240 divided by 120 is 2. When she returned her average speed was 80 km/h and since the distance was 240, 240 divided by 8 is 3 which means it took her 3 hours to get back home. She drove a total of 480 km , because the distance to the trip was 240 and the distance from the trip to the back was 240. 240 + 240 is 480. She drove a total of 480 km in 5 hours because it took her 2 hours to go there and 3 hours to come back . 480 km / 5h

Answer:

Step-by-step explanation:

(3b)^(4/3) is equivalent to  ∛(3b)^4.

∛[81b^4] is also equivalent.

Answer:

similar and same shape

Step-by-step explanation:

Answer:

c= 1

Step-by-step explanation:

To get rid of (c) on the right side, simply divide 2^n both side. But first collect like terms on the left side so you will get 2^n + 1 which you will then simplify the like term(2^n) and you will left with c= 1.

Answer:

4.50 per melon

Step-by-step explanation:

Take the price and divide by the number of melons

13.50/3

4.50 per melon

Answer:

10/26, simpified to 5/18

Step-by-step explanation:

10 letters in "County Fair"  None repeat.

26 letters in the alphabet

10/26

5/18

Answer:

false

Step-by-step explanation:

parallel lines are lines that never meet or cross and go side by side.

Answer:

The first option: 3x = 3 + 2x

Step-by-step explanation:

The question answers itself. In short:

x is our unknown number.

If three times a number (3x) is (=) three more (3) than (+) twice the number (2x).

Answer:

y = (2/3)*a

Step-by-step explanation:

We can write the equation using the linear equation model:

y = ax + b

Then, to find the values of 'a' (slope) and 'b' (y-intercept), we can use two points of the graph.

Using the point (0,0), we have:

0 = a*0 + b

b = 0

Using the point (3,2), we have:

2 = a*3 + b

a = 2/3

So our equation is:

y = (2/3)*a

Answer:

The correct answer is Y= 3/4x

Step-by-step explanation:

I did savvas realize, the is the the correct answer↑

Answer:

x < 0.128

Step-by-step explanation:

The inequality given is:

4.2x + 5.6 < 7.2 - 8.3x

Let us collect like terms:

4.2x + 8.3x < 7.2 - 5.6

12.5x < 1.6

=> x < 1.6/12.5

x < 0.128

Answer:

hi

Explanation:

hi

Answer:

Step-by-step explanation:

So the right answer is 13/6

please see attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

a) The volume of the water is approximately 678.6 cm³.

b) The volume of the sphere is approximately 113.1 cm³.

c) The new height of the water is approximately 7 cm, one cm higher than before.

Step-by-step explanation:

To solve this problem we first need to calculate the volume of the water, which is given by the cylinder volume, since it's stored in a cylindrical container.

[tex]\text{water volume} = \pi*r^2*h\\\text{water volume} = \pi*(6)^2*6\\\text{water volume} = \pi*36*6\\\text{water volume} = 678.584 \text{ }cm^3\\[/tex]

We now need to calculate the volume of the sphere, by using the appropriate formula:

[tex]\text{volume sphere} = \frac{4}{3}\pi*r^3\\\text{volume sphere} = \frac{4}{3}\pi*(3^3)\\\text{volume sphere} = \frac{4}{3}\pi*27\\\text{volume sphere} = 113.09 \text{ } cm^3[/tex]

When the sphere is inserted into the cylinder the volume of the things that are inside of the container are added up, so the volume would be the volume of the water plus the volume of the sphere, we can use this information to calculate the height of the water as shown below:

[tex]\text{total volume} = \text{water volume} + \text{sphere volume}\\\text{total volume} = 678.6 + 113.1 = 791.7\\\text{total volume} = \pi*r^2*h_{new}\\791.7 = \pi*(6)^2*h_{new}\\h_{new} = \frac{791.7}{\pi*36} = 7.00016\text{ } cm[/tex]

a) The volume of the water is approximately 678.6 cm³.

b) The volume of the sphere is approximately 113.1 cm³.

c) The new height of the water is approximately 7 cm, one cm higher than before.

Answer:

The first sequence has a common ratio of 2 while the second sequence has a common ratio of 4.

Step-by-step explanation:

Given the two sequences

[tex]\text{First Sequence:} \dfrac14, \dfrac12,$1, 2\\Second Sequence:\dfrac12$ , 2, 8, 32[/tex]

By observation:

In the first sequence:

[tex]\dfrac14 \times 2 = \dfrac12\\\dfrac12 \times 2 =1\\1 \times 2=2\\[/tex]

In the second sequence

[tex]\dfrac12 \times 4 =2\\ 2 \times 4=8\\8 \times 4=32[/tex]

We can see that both sequences are geometric sequences.

However, the first sequence has a common ratio of 2 while the second sequence has a common ratio of 4.

Answer:

Yes; LA (D)

Step-by-step explanation:

one of the legs are congruent.  LA and PT are congruent.  This makes up the "L" part of "LA"

Also, angle PCT and angle LFA are congruent base on the diagram.  This makes up the "A" part of "LA"

Answer:

500000000

Step-by-step explanation:

50,000 percent is or 1,000,000 is 500000000. I hope this is correct. I did the answer by multiplying them together.