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3 years ago

Solve for all values of c in simplest form. |4-c| = 7

Mathematics

2 answers:

Darya [45]3 years ago

8 0

Answer:

Step-by-step explanation:

|4-c| = 7

4-c = ±7

c = 4 ∓ 7 = -3, 11

vivado [14]3 years ago

7 0

C=3
explanation: 4-3 is equal to -7 and those lines make the number positive

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At noon, Bradley began steadily increasing the

barxatty [35]

Answer:

25.5 mph

Step-by-step explanation:

So Bradley's speed can be modeled by the equation y=2x+40 where y=speed, x=time in hours after noon, and b=initial speed

So 12:15 is 15 minutes after noon, which is also 0.25 or 1/4 of an hour after noon. This is the x-value. Plug this into the equation to get his speed at 12:15

y=2(0.25)+40

y=0.5+40

y=40.5

So his speed was 40.5 at the time and since he was going 15 miles over the speed limit, the speed limit is 15 less than his speed

40.5 - 15 = 25.5

8 0

1 year ago

Read 2 more answers

Consider the region, R, bounded above by f(x)=x2−6x+9 and g(x)=−3x+27 and bounded below by the x-axis over the interval [3,9]. F

Salsk061 [2.6K]

Answer:

22.5

Step-by-step explanation:

The region R contains every point of the plane with coordinate x between 3 and 9, and with coordinate y positive such that y < f(x) and y < g(x).

We can note that both f and g are positive on [3,9] because g is a decreasing linear function and g(9) = 0, thus g is positive in every other point of the interval, and f(x) = (x-3)^2 is always positive excpept when x = 3, where it reaches the value 0.

The interception of the graphs takes place for a value x such that f(x) = g(x).

We compute x^2-6x+9 = -3x + 27, thus x^2-6x+9-(-3x + 27) = x^2-3x -18 = 0.

The roots of that quadratic function are

$r_1, r_2 = \frac{3 ^+_- \sqrt { 9 +72}}{2} = \frac{3^+_-9}{2}$ , thus r1 = 6, r2 = -3. We dont care about -3 because it is outside the interval, but we know that f and g graphs intersects on x = 6. Thus, we obtain, due to Bolzano Theorem:

On the interval [3,6), the function f in smaller because it takes the value 0 on x=3, while g is always positive.
On the interval (6,9]. the function g is smaller because it takes the value 0 on x=9, while f is always positive

Hence, the upper bound is f on the interval [3,6) and g on the interval (6,9]. While the lower bound is the 0 function.

We need to calculate the following integral, using Barrow's rule

$\int\limits^6_3 {x^2-6x+9} \, dx + \int\limits^9_6 {-3x+27} \, dx = (\frac{x^3}{3} - 3x^2 + 9x) |^6_3 + (\frac{-3x^2}{2} + 27x)|^9_6 = \\ (18 - 9) + (121.5-108) = 22.5$

As a result, the area of the region R is 22.5

6 0

3 years ago

I need help don't understand

Amiraneli [1.4K]

Answer:

33,945,60

i hope this helped

6 0

2 years ago

13, 15, 17, x, 20, 21; The median is 18.

Mamont248 [21]

To find the median

⇒ must define what is a median

⇒Definition of median: middle number of an ordered set

Lets look at the information given

Set when ordered: 13,15, 17,x,20,21 with median of 18

⇒ In this case, there is an even number of numbers

⇒ to find the median

⇒ must find average of two numbers closest to the middle

⇒ which are 'x' and '17' which is equal to the given median 18

Let's set up the equation:

$\frac{x+17}{2} =18\\x+17=36\\x=19$

Answer: x = 19

Hope that helps!

6 0

2 years ago

NEED AN A !!!!!!!! MATH HELP!!!!!!!

zepelin [54]

Plug n = 1 into the original formula to get
an = 14 - 9n
a1 = 14 - 9*1
a1 = 5
So the first term is 5

The common difference is -9 as this is the slope in front of the n term. This means each term is going down by 9 each time. Notice the second term is
an = 14-9n
a2 = 14-9*2
a2 = -4
and so on...

To get the nth term, we subtract 9 from the (n-1)st term
That's the same as saying
$a_n = a_{n-1}-9$

So all together, the rule is
$a_n = a_{n-1} - 9\\ a_1 = 5$

Final Answer: Choice B

4 0

3 years ago

Read 2 more answers