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Snowcat [4.5K]
3 years ago
7

Solve each system of equations using the substitution method

Mathematics
1 answer:
boyakko [2]3 years ago
7 0

Step-by-step explanation:

y=-3+5x

substitute y into equation 2

3x-8y=24

3x-8(-3+5x)=24

3x+24-40x=24

x=0

y=-3+5(0)

y=-3

(x,y)=(0,3)

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In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)3 + 6. The turning point of the gr
hichkok12 [17]

I assume (x-4)3 means (x-4)³.  What we wish is to set the derivative equal to zero.

Expanding the T(x) polynomial makes it easier for me to take the derivative.

So (x-4)³ = x³ - 12x² + 48x - 64 + 6

T'(x) = 3x² - 24x + 48

We can factor out a 3 and set this to zero:

x² - 8x + 16 = 0

(x -4)² = 0

x = 4 should therefore represent the turning point.

I am mildly chagrined, I almost used the f'(x) = nx^(n-1) function at first, which appears would have been correct.

3 0
3 years ago
Y = -x + 3<br> y = x + 5
Gnom [1K]

Answer:

x = -1, y = 4.

Step-by-step explanation:

y = -x + 3

y = x + 5      Adding these 2 equation eliminates x:

2y = 0 + 8

y = 8/2 = 4.

Substituting for x in the first equation:

4 = -x + 3

4-3 = -x

1 = -x

x = -1.

7 0
4 years ago
Consider the exponential function g(x) = 1,296 x .
AleksandrR [38]
1296(-1.75)= -2268;
 1296(-1)= -1296;
 1296(-0.25)= -324;
 1296(0)=0;
 1296(0.25)=324;
 1296(0.5)=648;
1296(0.75)=972);
 1296(1)=1296
4 0
3 years ago
If a fourth plant produces 400 widgets in 60 days, which statement is true?
USPshnik [31]
The complete question in the attached figure

the statements are
1) It makes less than plant B
2) It makes the same as plant A
3) It makes more than plant C

we know that
<span>analyzing the graph

</span>plant A
for x=40  y=100
for x=50   y=200
that means 
the production in 10 days is 100 widgets
then
the production in 60 days will be 6*100----> 600 widgets
so
plant A production  > plant fourth production
plant fourth production < plant A production

plant B
for x=40  y=0
for x=60   y=100
that means 
the production in 20 days is 100 widgets
then
the production in 60 days will be 3*100----> 300 widgets
so
plant B production  < plant fourth production
plant fourth production > plant B production

plant C
for x=20  y=0
for x=40   y=100
that means 
the production in 20 days is 100 widgets
then
the production in 60 days will be 3*100----> 300 widgets
plant C production  < plant fourth production
or 
plant fourth production > plant C production

therefore 

the answer is 
3) It makes more than plant C

7 0
3 years ago
Read 2 more answers
Find the values of x and y
LenKa [72]

Answer:

x = 1

y = -1

Step-by-step explanation:

A*B= (4y-8 3x-3)

1-) (4×2)+(3×y)= 3y+8

2-) (4×x)+(3×(-1))= 4x-3

AB=C

(3y+8 4x-3)=(5 1)

So

3y+8=5 ; y= -3/3 = -1

4x-3=1 ; x=4/4 =1

5 0
3 years ago
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