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Dafna1 [17]
2 years ago
7

cecilia is 24 years younger than Joe. six years ago she was hakf as old as he was. how old is each now?

Mathematics
1 answer:
Xelga [282]2 years ago
3 0
42 and 18 are their ages 
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Determine, using the intermediate value theorem, if the function F(x)=x^3+2x-1 has a zero on the interval [0,1]. Justify your an
SSSSS [86.1K]

Plug x = 0 into the function

f(x) = x^3 + 2x - 1

f(0) = 0^3 + 2(0) - 1

f(0) = -1

Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.

Repeat for x = 1

f(x) = x^3 + 2x - 1

f(1) = 1^3 + 2(1) - 1

f(1) = 2

This result is positive.

---------------------------

We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.

To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515

7 0
3 years ago
A cuboid has a square base.
padilas [110]

The length of one side of the square base is 8.5 centimeters.

<u>Given the following data:</u>

  • Volume of cuboid = 867 cm
  • Height = 12 cm

To find the length of one side of the square base:

Mathematically, the volume of a cuboid is given by the formula:

Volume = Base \; area × Height

Substituting the given values, we have:

867 = Base \; area × 12

Base\;area = \frac{867}{12}

Base area = 72.225 cm^2

Now, we can find the length by using the formula:

Area \;of\;a \;square = length^2

72.25 = length^2

Length = \sqrt{72.25}

<em>Length</em><em> = </em><em>8.5 centimeters</em>.

Therefore, the length of one side of the square base is 8.5 centimeters.

Find more information: brainly.com/question/11037225

8 0
1 year ago
Can you tell me what that is I don't have a calculate
kicyunya [14]
The answer is 5 and i am writing this other stuff because it said my answer was short
3 0
3 years ago
Read 2 more answers
Given that
MissTica

Answer:

-2                                        

Step-by-step explanation:

Hey there!!

if we evaluate the expression it will look like :

3x + 14 = 8

and if we solve it:

3x+14=8

Step 1: Subtract 14 from both sides.

3x+14−14=8−14

3x=−6

Step 2: Divide both sides by 3.

3x/3 = -6/3

x= −2

4 0
3 years ago
Given any triangle in the plane, associate to each side an outward pointing normal vector of the same length as the side. Show t
Zigmanuir [339]

Let , a, b and c be the length of three sides of triangle, represented in terms of vectors as \vec{a},\vec{b},\vec{c}.

Now, vector of same Magnitude acts as normal vector to each side.

So, equation of any vector p having normal q is given by

      \vec{p} \times\vec{q}

Now sum of three vector and it's normal is given as

    =\vec{a} \times\vec{a}+\vec{b} \times\vec{b}+\vec{c} \times\vec{c}\\\\=0+0+0\\\\=0

Cross product of two identical vectors is Zero.

\rightarrow \vec{i} \times\vec{i}=0

8 0
2 years ago
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