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labwork [276]
3 years ago
12

Plz help Factor the expression using the GCF 16m + 20n

Mathematics
1 answer:
lara [203]3 years ago
4 0

Answer:

4 (4m+5n)

Step-by-step explanation:

hope this helps

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One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 290 nautical miles?
Angelina_Jolie [31]
\bf \begin{array}{ccllll}
\textit{nautical miles}&kilometers\\
\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
100&185\\
x&290
\end{array}\implies \cfrac{100}{x}=\cfrac{185}{290}\impliedby \textit{solve for "x"}
4 0
3 years ago
Read 2 more answers
Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon
Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

h(t)=-16t^2+40t+5

we know that

When the ball hits the ground, the height is equal to zero

so

-16t^2+40t+5=0

The formula to solve a quadratic equation of the form

at^{2} +bt+c=0

is equal to

t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+40t+5=0

so

a=-16\\b=40\\c=5

substitute in the formula

t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}

t=\frac{-40\pm\sqrt{1,920}} {-32}

t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec

t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec

therefore

The solution  is t=2.62 seconds

4 0
3 years ago
Hailey is a high school basketball player. In a particular game, she made some three point shots and some free throws (worth one
NISA [10]

Answer: the system of equations are

3x + y = 14

y = 4x

Step-by-step explanation:

Let x represent the number of three point shots that Hailey made.

Let y represent the number of free throws(worth one point each) that Hailey made.

Hailey made some three point shots and some free throws and

scored a total of 14 points. This would be expressed as

3x + y = 14

Hailey made 4 times as many free throws as three point shots. This would be expressed as

y = 4x

8 0
3 years ago
Read 2 more answers
I need help bruv. For the function y=x^2 - 5x - 6 .
lara [203]

Answer:

a. Vertex = (2.5,-12.25)

b. y-intercept = (0,-6)

c. x-intercept = (6,0) ; (-1,0)

Step-by-step explanation:

a.

Your equation is written as:

y = ax^{2} + bx +c

The easiest way to find the vertex is writing the equation this way:

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

Being the vertex (h,k)

So first complete the square

y = x^{2} -5x -6 \\y = x^{2} - 2(2.5x) -6 \\y = x^{2} - 2(2.5x) +2.5^{2} - 2.5^{2} -6 \\y = (x^{2} -2(2.5x) + 2.5^{2}) -6.25 - 6 \\y = (x-2.5)^{2} -12.25

Vertex : (2.5,-12.25)

b.

To find the y-intercept you need to replace the equation when x = 0 and get y

y = (0)^{2} - 5(0) -6\\y = - 6

c.

To find the x-intercept you need to replace the equation when y = 0 and get x

0 = x^{2} - 5x -6 \\0 = (x-6)(x+1)\\x = 6\\x = -1

4 0
3 years ago
How to do questions 19 and 20
Alexeev081 [22]

Answer & Step-by-step explanation:

Using the information given in the question we can form the following 3 equations (in the order of the first 3 sentences)

w = 2h (twice the price)

t = h - 4 ($4 less)

3w + 2h + 5t = 136 (total purchasing and cost)

We can solve all 3 equations for h first, by substituting the first two equations, into the third equations w and t

3(2h) + 2h + 5(h-4) = 136

Simplify

6h + 2h + 5h - 20 = 136

13h = 136 + 20

13h = 156

h = 156/13

h = $12

Using this information, we can solve for w and t

w = 2h

w = 2(12)

w = $24

And finally

t = h - 4

t = 12 - 4

t = $8

4 0
3 years ago
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