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kvasek [131]
3 years ago
9

A casserole recipe calls for 8 ounces of cheese. Adrian wants to use 1/2 of the amount of cheese in his casseroles.

Mathematics
1 answer:
kirza4 [7]3 years ago
8 0

Answer:

88 Ounces

Step-by-step explanation:

1/2 of 8 is 4. 22 times 4 is 88.

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-3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz
vitfil [10]
To graph it, just graph y=-3^{-x}-6 and y=-3^x+10 and see where they intersect

I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
3^{-x}+6=3^x-10
multiply both sides by 3^x
3^0+6(3^x)=3^{2x}-10(3^x)
1+6(3^x)=3^{2x}-10(3^x)
minus 1 from both sides and minus 6(3^x) from both sides
0=3^{2x}-16(3^x)-1
use u subsitution
u=3^x
we can rewrite it as
0=u^2-16u-1
now factor
I mean use quadratic formula
for ax^2+bx+c=0 x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}
so for 0=u^2-16u-1, a=1, b=-16, c=-1
u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}
u=8+/-\sqrt{65}
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
u=8+\sqrt{65}=3^x
8+\sqrt{65}=3^x
if you take the log base 3 of both sides you get
log_3(8+\sqrt{65})=x
if you use ln then
ln(8+\sqrt{65})=xln(3)
then
\frac{ln(8+\sqrt{65})}{ln(3)}=x

8 0
3 years ago
Read 2 more answers
Plz do this and show all the work. Use factoring
Anika [276]
Answer:
x1=-1, x2=4/5

Step by step explanation:
5x^2 - 4 + x = 0
Use the commutative property to reorder the terms:
5x^2+x-4=0
Write x as a difference:
5x^2+5x-4x-4=0
Factor out 5x from the expression:
5xx(x-1)-4x - 4=0
Factor out -4 from the expression:
5xx(x+1) - 4 (x-1)=0
Factor out x+1 from the expression:
(x-1) x (5x-4) =0
When the product of factors equal 0 at least one factor is 0
X + 1 = 0
5x - 4 = 0
Solve the equation:
The equation has two solutions
X1=-1, x2 = 4/5
3 0
3 years ago
Choose the most convenient method to graph the line 2x+5y=−10.
Serjik [45]

Answer:

graph the line using the slope and y-intercept or two points

slope:-2/5

y-intercept:(0,-2)

x | y

-5 | 0

0 | -2

6 0
3 years ago
Using Parallel Lines Find m 1 and m 2. Explain your reasoning.
Molodets [167]

i don't know if there is a graph for this problem, but m1 should always equal m2

if m1 and m2 are parallel, one line that is perpendicular to m1 is always perpendicular to m2, and the slopes of m1 and m2 are equal and their lines should never intersect

8 0
4 years ago
the blue mountain high school drama club is selling tickets to their spring musical. adult tickets are $4 an student tickets are
Mazyrski [523]

Answer:

3454

Step-by-step explanation:

÷÷1/2=××/×/2223=×=×=÷

22÷3××÷÷

2÷=1=×+=××/

×$÷×=×2

2÷2÷/3=×

3 0
3 years ago
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