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1 year ago

2x+ 5y = 15 5x+10y = 35 O A. (5.-1) O B. (5,1) ( O C. (10,-1) O D. (10,1)

Mathematics

1 answer:

GaryK [48]1 year ago

4 0

Answer:

Step-by-step explanation:

Plug in those x and y values into your equations.

(x, y) = (5, 1)

2x + 5y = 15

2(5) + 5(1) = 15

10 + 5 = 15

5x + 10y = 35

5(5) + 10(1) = 35

25 + 10 = 35

This proves those values are true. So the answer is B.

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Suppose f is an exponential function and:

Nastasia [14]

Answer: a) $b= p(1 + r)^1$ b) $c= p(1 + r)^n$ c) $d= p(1 + r)^m$ d) $b^n=c$

Step-by-step explanation:

Since f is an exponential function.

So, it is expressed as

$f = p(1 + r)^$

Here f is the present value

p is the initial value

r is the rate of growth per time period

t is the time period.

(a) b represents the 1-unit growth factor for f.

$b= p(1 + r)^1$

(b) c represents the n n-unit growth factor for f.

$c= p(1 + r)^n$

$d= p(1 + r)^m$

Write a formula that expresses c in terms of b.

Since

$b=p(1+r)^1\\\\So,\\\\b=p(1+r)^{n\times \frac{1}{n}}\\\\b=(p(1+r)^n)^{\frac{1}{n}}\\\\b=c^{\frac{1}{n}}\\\\b^n=c$

Hence, a) $b= p(1 + r)^1$ b) $c= p(1 + r)^n$ c) $d= p(1 + r)^m$ d) $b^n=c$

8 0

2 years ago

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5 0

3 years ago

A type of cell triples every hour. If there are 5 cells initially, which function can be used to

laila [671]

Answer:

T(t) = 5(3)(t)

Step-by-step explanation:

There are 5 cells initially.

And it triple every hour.

T0 =5

T(t) = T0(3t)

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4 0

2 years ago

Combing like terms? 4(1.75y-3.5)+1.25y

neonofarm [45]

First you gotta distribute.
4 (1.75y - 3.5) + 1.25y
4 * 1.75 y = 7
4* (-3.5) = (-14)

7y - 14 + 1.25y
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6 0

2 years ago

Read 2 more answers

A ball is shot into the air using a brand new super-high-tech robotic arm to help baseball players practice catch fly balls.

stepladder [879]

Answer:

69 feet

Step-by-step explanation:

we have

$h(t)=-16t^{2}+64t+5$

where

h(t) is the height of the ball

t is the time in seconds

we know that the given equation is a vertical parabola open downward

The vertex is the maximum

the y-coordinate of the vertex represent the maximum height of the ball

Convert the quadratic equation into vertex form

The equation in vertex form is equal to

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

where

(h,k) is the vertex of the parabola

$h(t)=-16t^{2}+64t+5$

$h(t)-5=-16t^{2}+64t$

$h(t)-5=-16(t^{2}-4t)$

$h(t)-5-64=-16(t^{2}-4t+4)$

$h(t)-69=-16(t^{2}-4t+4)$

$h(t)-69=-16(t-2)^{2}$

$h(t)=-16(t-2)^{2}+69$

the vertex is the point (2,69)

therefore

The maximum height is 69 ft

6 0

2 years ago