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3 years ago

6

The value of the function g(x) is –2 when x = -5 and is 5.7 when x = 6. What is

1 answer:

lara31 [8.8K]3 years ago

5 0

Answer: the equation of function g(x) is y=0.7 x+ 1.5

Step-by-step explanation: The value of the function g(x) is −2 when x=−5. It means the graph of function passes through (-5,-2).

The value of the function g(x) is 5.7 when x=6. It means the graph of function passes through (6,5.7).

The equation of function g(x) that passes through (-5,-2) and (6,5.7) is

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A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will i

Alex_Xolod [135]

For this we almost have the following equation:
$h = -16t ^ 2 + 25
$
We must match the equation to zero:
$-16t ^ 2 + 25 = 0
$
From here, we clear the value of t.
We have then:
$16t ^ 2 = 25

t ^ 2 = 25/16$
We discard the negative root because we are looking for time:
$t = \sqrt{ \frac{25}{16} } 

$
$t = \frac{5}{4}$
Answer:
it will take him to reach the ground about:
$t = \frac{5}{4}$ seconds

5 0

3 years ago

M=-2, passes through (3,5)

navik [9.2K]

5=3(-2) +b
5=(-6)+b
+6 +6
11=b

3 0

3 years ago

Which equation has the solutions x = startfraction 5 plus-or-minus 2 startroot 7 endroot over 3 endfraction?

Shtirlitz [24]

The equation that has the solution $x = \frac{5 \pm \sqrt{7}}{3}$ is 3x^2 - 10x + 6 = 0

<h3>How to determine the equation?</h3>

The solution is given as:

$x = \frac{5 \pm \sqrt{7}}{3}$

The solution to a quadratic equation is

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

By comparing both equations, we have:

-b = 5

b^2 - 4ac = 7

2a = 3

Solve for b in -b = 5

b = -5

Solve for a in 2a = 3

a = 1.5

Substitute values for a and b in b^2 - 4ac = 7

(-5)^2 - 4 * 1.5c = 7

Evaluate

25 - 6c = 7

Subtract 25 from both sides

-6c = -18

Divide by - 6

c = 3

So, we have:

a = 1.5

b = -5

c = 3

A quadratic equation is represented as:

ax^2 + bx + c = 0

So, we have:

1.5x^2 - 5x +3 = 0

Multiply through by 2

3x^2 - 10x + 6 = 0

Hence, the equation that has the solution $x = \frac{5 \pm \sqrt{7}}{3}$ is 3x^2 - 10x + 6 = 0

Read more about quadratic equation at:

brainly.com/question/1214333

#SPJ1

7 0

2 years ago

Two cars travel at the same speed to different destinations. Car A reaches its destination in 17 minutes. Car B reaches its dest

Goryan [66]

Answer:

speed of car A =Speed of car B=0.8 miles/minutes.

Step-by-step explanation:

We are given that speed of car A is equal to speed of car B.

Also let car A travels x miles.

and car B travels y miles.

Car A reaches its destination in 17 minutes.

this means that speed of car A is given by: $\dfrac{x}{17}$ miles/minutes ( since speed is defined as the ratio of distance and time).

Car B reaches its destination in 32 minutes.

This means that the speed of car B is given by: $\dfrac{y}{32}$ miles/minutes

as speed of both cars are equal this means:

$\dfrac{x}{17}=\dfrac{y}{32}$ ------(1)

Also we are given Car B travels 12 miles farther than Car A.

this means $y-x=12$

$y=12+x$ ------(2)

on using equation (1) and (2) we have:

$\dfrac{x}{17}=\dfrac{12+x}{32}\\ \\32x=17(12+x)\\\\32x=17\times12+17x\\\\32x-17x=17\times12\\\\15x=122\times17\\\\x=13.6$

Hence the speed of car A is 0.8 miles/minutes ( since x/17 is the speed of car A)

Speed of car B=0.8 miles/minutes.

8 0

4 years ago

The Castel del Monte in Apulia, Italy, was built more than 750 years ago. The fortress has one central building with eight surro

zvonat [6]

It’s an “octagon,” meaning that all answers would = 8. 8 sides, 8 angles, 8 vertices

3 0

4 years ago

Read 2 more answers