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Nady [450]
3 years ago
12

125 invitations to 75 Invitations ( Round To The Nearest Tenth Of A Percent If Necessary )

Mathematics
1 answer:
aleksklad [387]3 years ago
8 0
I think the answer to this is .6 or 1.7

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At what x-values do the graphs of the functions y=cos 2x and y = cos^2 x-1 intersect over the interval 0 ≤ x ≤ pi. There must be
baherus [9]

Answer:

x=\frac{\pi}{2}  and  x=\frac{3\pi}{2}

Step-by-step explanation:

We need to solve the 2 equations to figure out the x-values (intersecting points).

<em>Note: </em>The identity  cos^{2}x=\frac{1}{2}+\frac{1}{2}cos(2x)

cos(2x)=cos^{2}(x)-1\\cos(2x)=(\frac{1}{2}+\frac{1}{2}cos(2x))-1\\cos(2x)=\frac{1}{2}cos(2x)-\frac{1}{2}\\\frac{1}{2}cos(2x)=-\frac{1}{2}\\cos(2x)=-1\\2x=cos^{-1}(-1)\\2x=\pi, 3\pi\\x=\frac{\pi}{2}, \frac{3\pi}{2}

So they intersect at  x=\frac{\pi}{2}, \frac{3\pi}{2}

4 0
3 years ago
Read 2 more answers
Joji earns 3 times as much as Masao. If Joji and Masao earn $4,500.00 together, how much money does Masao earn? a $1,125.00 b $1
ss7ja [257]
3xMasao=Joji
3Masao+1Masao= 4500.00 dollars
4Masao=4500
Masao=4500/4=1125
choice a
6 0
3 years ago
Which of the following is the result of completing the square for x2 + 8x - 6 ?
melamori03 [73]
STEP 1- since 6 doesn't contain the variable to solve for move it to the right side of the equation by subtracting 6 from both sides
X^2-8X=-6
STEP 2- create a trinomial square on the left side of the equation find the value that is equal to the square of half of b the coefficient of x 
(b/2)^2 =(-4)^2
STEP 3- add the term to each side of the equation
x^2-8x+(-4)^2=-6=(-4) 
STEP 4- simplify the equation
x^2-8x+16=10 
STEP 5- factor the perfect trinomial square into (x-4)^2
(x-4)^2=10
STEP 6-solve the equation for x
x=4= square root of 10

 
5 0
3 years ago
Read 2 more answers
Midpoint of (16,5) and (-6,-9)?
Zigmanuir [339]

To solve this problem, we need to use the midpoint formula, where M = (x1+x2/2, y1+y2/2). To solve, we must plug in the given (x,y) values from our ordered pairs and then simplify, shown below:

(x1+x2/2, y1+y2/2)

( (16 + -6)/2, (5 + -9)/2 )

Now, we can begin to simplify by computing the addition in the numerators of both fractions.

(10/2, -4/2)

Next, we can finish the simplification process by dividing these fractions.

(5, -2)

Therefore, the midpoint of (16,5) and (-6,-9) is (5,-2).

Hope this helps!

8 0
3 years ago
Is x-3/5 = N and N = 6, what is the value of x?
scZoUnD [109]

Answer:

x = 33/5

Step-by-step explanation:

x - 3/5 = n.......n = 6

so we sub

x - 3/5 = 6......add 3/5 to both sides

x = 6 + 3/5...convert using common denominator of 5

x = 30/5 + 3/5

x = 33/5 <===

check...

x - 3/5 = 6

33/5 - 3/5 = 6

30/5 = 6

6 = 6 (correct)...so it checks out

5 0
3 years ago
Read 2 more answers
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