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2 years ago

Samuel drove 84 miles in 6 hours. How far can he drive in 6 hours?

Mathematics

2 answers:

rosijanka [135]2 years ago

8 0

Answer:

the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it

Step-by-step explanation:

Alecsey [184]2 years ago

5 0

Answer:

84 miles

Step-by-step explanation:

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Let f(x)=−12(x+2)2+5 . What is the average rate of change for the quadratic function from x=−3 to x = 1?

aev [14]

Answer:

Average rate of change = -6

Step-by-step explanation:

The average rate of change over the interval (a,b) is given by;

[ f(b) - f(a)] / (b-a)........................where interval is (a,b)

(a,b) interval =(-3,1)

Where;

f(x)= -12 (x+2)² +5

$f(a)=f(-3)=-12(-3+2)^2+5\\f(a)=f(-3)=-12(-1)^2+5\\f(a)=f(-3)=-12(1)+5\\=-12+5=-7\\\\\\f(b)=f(1)=-12(1+2)+5\\f(b)=f(1)=-12(3)+5\\=-36+5=-31\\\\f(b)-f(a)=-31--7=-24\\\\b-a=1--3=4\\\\f(b)-f(a)/b-a=\frac{-24}{4} =-6$

5 0

2 years ago

Solve for x in the equation x squared + 2 x + 1 = 17.

Papessa [141]

Answer:

$x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\$

Step-by-step explanation:

given equation

$x^2 +2x +1 = 17$

subtracting 17 from both sides

$x^2 +2x +1 = 17\\x^2 +2x +1 -17= 17-17\\x^2 +2x - 16 = 0\\$

the solution for quadratic equation

$ax^2 + bx + c = 0$ is given by

x = $x = -b + \sqrt{b^2 - 4ac} /2a \\\\and \ \\-b - \sqrt{b^2 - 4ac} /2a$

________________________________

in our problem

a = 1

b = 2

c = -16

$x =( -2 + \sqrt{2^2 - 4*1*-16}) /2*1 \\x =( -2 + \sqrt{4 + 64}) /2\\x =( -2 + \sqrt{68} )/2\\x = ( -2 + \sqrt{4*17} )/2\\x = ( -2 + 2\sqrt{17} )/2\\x = - 1 + \sqrt{17}\\and\\\\x = - 1 - \sqrt{17}\\$

thus value of x is

$x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\$

3 0

2 years ago

Need help on number 25 and 26 can you please explain how you got the answer thanks!:)

Westkost [7]

In both problems, the sum of side lengths is the perimeter. Opposite sides of a parallelogram (or rectangle) are equal in length, so you can find the perimeter by doubling the sum of adjacent sides.

25. 2(x +(x +15)) = (x +45) +(x +40) +(x +25)
.. 4x +30 = 3x +110 . . . . . . . . . . . . . . . . . . . . . . simplify
.. x = 80 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . subtract 3x+30
.. 4x +30 = 4*80 +30 = 240
The perimeter of each is 240 units.

26. 2(x +(x +2)) = (x) +(x +6) +(x +4)
.. 4x +4 = 3x +10 . . . . . . . . . . . . . . . . . . . . . . simplify
.. x = 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . subtract 3x+4
.. 4x +4 = 4*6 +4 = 28
The perimeter of each is 28 units.

6 0

3 years ago

Q + 5/9= 1/6 from big ideas mathbook

Alika [10]

9We have such eqation
Q $+ \frac{5}{9} = \frac{1}{6}$ /*9 (multiply both sides by 9)
9Q+5= $\frac{9}{6}$ /-5 both sides
9Q= $\frac{9}{6}- 5$
9Q= $\frac{9}{6}- \frac{5*6}{6}$
9Q= $\frac{9-30}{6}$
9Q=- $\frac{21}{6}$ /:9 divide both sides by 9
Q=- $\frac{21}{6}:9$
Q $\frac{21}{6*9} =- \frac{21}{54}=[tex] \frac{7}{18}$ - its the answer

6 0

2 years ago

Read 2 more answers

Integers<br>53 + (-26 )

-BARSIC- [3]

<h2>✨ Question ✨</h2>

53 + (-26 )

<h2>✨ Answer ✨</h2>

$\: \: \: \: \: \: \: \: \: \purple{ \boxed{ \boxed{ \huge{ \tt{ \: 37 \: }}}}}$

6 0

2 years ago