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3 years ago

Factoringfactor: 80n^2+56n

Mathematics

2 answers:

Dennis_Churaev [7]3 years ago

8 0

Answer:

8n(10n +7)

Step-by-step explanation:

80n^2+56n

Factor out the greatest common factor 8n

8n(10n +7)

Zinaida [17]3 years ago

5 0

Answer:

4480n^3

Step-by-step explanation:

just multiply 80n x 56n and get 4480n but since 80n is to the 2nd and 56n is to the first add them to get to the power of 3 and put that on 4480n

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Solve each quadratic equation. Show your work. 14. (2x – 1)(x + 7) = 0 15. x2 + 3x = 10 16. 4x2 = 100

andreyandreev [35.5K]

14. (2x - 1)(x + 7) = 0

Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0. We can set each term equal to 0 to find the solutions:

2x - 1 = 0
2x = 1
x = 1/2

x + 7 = 0
x = -7

15. $x^{2} +3x=10$

To solve this equation, you first need to set it equal to 0:

$x^{2} +3x=10 \\ x^{2} +3x-10 = 0$

Next, it can be factored:

$x^{2} +3x-10 = 0 \\ (x+5)(x-2)=0$

Finally, we can solve just like we did above:

x + 5 = 0
x = -5

x - 2 = 0
x = 2

16. $4x^2=100$

First, you can simplify by dividing each side by 4:

$4x^2=100 \\ x^2=25$

Now, set the equation equal to 0:

$x^2=25 \\ x^2-25=0$

Next, factor:

$x^2-25=0 \\ (x+5)(x-5)=0$

Finally, find the solutions:

x + 5 = 0
x = -5

x - 5 = 0
x = 5

6 0

3 years ago

PLEASE HELP!!!What are good 3 examples of Geography?WILL GIVE BRAIN!!!

zvonat [6]

Answer:

The three main types of geography are physical, environmental and human geography. There are other sub-branches of geography such as political geography, historical geography and religious geography.

Physical geography deals with the study of Earth and its structure. The landforms, continents, oceans and tectonic movements are a part of physical geography. The formation of rocks, weathering, forces of erosion, winds, ocean currents and rivers are all studied as a part of physical geography. Environment geography deals specifically with the study of the interaction of plants and animals with Earth. Human geography focuses on how human societies flourish with the help of natural resources. It deals with the study of the evolution of cultures and religious beliefs. Economic, cultural and political geography are sub-branches of human geography.

Step-by-step explanation:

plz mark as brainliest

8 0

3 years ago

f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2

iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4, $\infty$ )

g(x)= $2x^2+8x+6=2(x^2+4x+3)$

$g(x)=0$

$2(x^2+4x+3)=0$

$x^2+4x+3=0$

$x^2+3x+x+3=0$

$x(x+3)+1(x+3)=0$

$(x+1)(x+3)=0$

$x+1=0\implies x=-1$

$x+3=0\implies x=-3$

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

$g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2$

$g(x)=2(x^2+4x)+6$

$g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6$

$g(x)=2(x+2)^2-2$

By comparing with the equation of parabola

$y=a(x-h)^2+k$

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2, $\infty$ )

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0

3 years ago

The number of users of a cell tower in a small, developing town increased by a factor of 1.5 every year from 2010 to 2019. The f

polet [3.4K]

Answer:

Step-by-step explanation:

From the statement, we are given a function that shows the number of cell tower users f(x) after x years, from the year 2010 to 2019, so, to solve the problem, we need to remember that the domain is equal to all the values that the variable (x for this case) could take making the function itself exist.

So, the given function is a function of years, and we know that "x" represents the years from 2010 (starting value), to 2019 (ending value) meaning that the domain is located between those two values.

Hence, the correct option is:

B. 0 ≤ x ≤ 5,000

3 0

3 years ago

Read 2 more answers

Can someone Help me please

Sonbull [250]

Answer:

Lower quartile= 4

Middle quartile= 6

Upper quartile=8

7 0

3 years ago

Factoringfactor: 80n^2+56n​

Factoringfactor: 80n^2+56n