Solve the system of equations.
y = 7x - 9
y= 7x + 7
a. (-4,1)
b. (-4,-1)
(4,1)
d. No solution

Answer:

20/41 (it can't be reduced or simplified)

Step-by-step explanation:

41 is a prime number hence cannot be divided by anything.

Therefore, 20/41 simplified is still 20/41 and in decimal format is 0.488(3 d.p)

Answer:

36 sq ft

Step-by-step explanation:

The answer fam is 36 feet^2

Let width be x

Then, length be 4x

Perimeter=2(l+b)

30=2(4x+x)

30=2×5x

30=10x

x=3feet

Length=4×3=12 feet

Width=3 feet

Area=lb

=12×3=36 feet^2

$9.00

Hope you had a good Thanksgiving break, and I hope this helps.

Answer:

About 20 minutes.

Answer:

10 (2 and 10 can both divide into it)

Answer:

ALTERNATIVE 1

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-60x² + 275x) - (50000 + 30x)

P(x) = -60x² + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - 60x)

R(x) = -60x² + 275x

d. Find the marginal revenue function in terms of x.

R'(x) = (-60 · 2x) + 275

R'(x) = -120x + 275

The answers do not make a lot of sense, specially the profit and marginal revenue functions. I believe that the question was not copied correctly and the price function should be p = 275 - x/60

ALTERNATIVE 2

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-x²/60 + 275x) - (50000 + 30x)

P(x) = -x²/60 + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - x/60)

R(x) = -x²/60 + 275x

d. Find the marginal revenue function in terms of x.

R(x) = -x²/60 + 275x

R'(x) = -x/30 + 275

Answer:

Percentage change in interest groups between 1959 (500) & 1995 (600) = 20%

Step-by-step explanation:

Percentage change = Change ie (New - Old)    x 100

                                        Old value

Suppose -

Number of interest groups in 1959 = 500

Number of interest groups in 1995 = 600

Percentage change = [ (600 - 500) / 500 ] x 100

( 100 / 500 ) x 100 = 20%

Answer:

A solution set to an inequality means that the values given will solve the inequality correctly. All of the given values are possibilities for the inequalities and will make the inequality true.

Answer:

[tex]\frac{16}{x} = \frac{80}{100}[/tex]  

Step-by-step explanation:

To set up this proportion, we know that 16 must correspond with 80% and the x, the number we're looking for must correspond with 100%

[tex]\frac{16}{x} = \frac{80}{100}[/tex]

This would be the correct proportion, and you could simplify it to equal

[tex]\frac{16*100}{80}[/tex]

2x-5+5>7+5

2x>12

2x partido de 2 > 12 partido de 2 :

x>6

Answer:

$0.60...$1.50

Step-by-step explanation:

Answer:

114 is the value of x in bottom triangle

Step-by-step explanation:

40+26+x=180

or,66+x=180

or,x=180-66

or,x=144

Answer:

alpha=0.01

Step-by-step explanation:

confidence level = 1 - alpha

so alpha = 1 - confidence level = 1 - 0.99 = 0.01

In statistics, alpha represents the value that checks the test statistic in order to determine if it is significant or not. In other words, alpha is the acceptable margin of type 1 error. Alpha is also called the significance level, which opposes the confidence level. Significance level + confidence level = 1.

Answer: 0.7

Step-by-step explanation:

16.4 - 15= 1.4

1.4 ÷ 2= 0.7

Hope this helps :)

Answer:

The smallest possible value of the sum of their squares is 128.

Step-by-step explanation:

Let the first number = x

let the the second number = y

x +  y = 16

y = 16 -x

minimum value, f = x² + y²

f(x) = x² + (16-x)²

f(x) = x² + 256 - 32x + x²

f(x) = 2x² - 32x + 256

f(x)' = 4x - 32

4x - 32 = 0

4x = 32

x = 32 / 4

x = 8

The absolute minimum value of x = 8

y = 16 - x

y = 8

The smallest possible value of the sum of their squares is given by x² + y²;

=  (8)² + (8)²

= 128

Therefore, the smallest possible value of the sum of their squares is 128.

Answer:

3x+7

Step-by-step explanation:

Answer:

Let's simplify step-by-step.

4+2x+3+1x

=4+2x+3+x

Combine Like Terms:

=4+2x+3+x

=(2x+x)+(4+3)

=3x+7

Step-by-step explanation:

Answer:

4/12

Step-by-step explanation:

Because the bottom numbers are the same just subtract the top numbers:

8/12 -4/12 = 4/12

4/12 can simplify to 1/3

Answer:

There are 9 dimes and 18 nickels.

Step-by-step explanation:

Let d = be the number of dimes

     n = be the number of nickels

    d + n = 27...eq.1

   0.10d + 0.05n = 1.80...eq.2

Solve the system of equations

   d + n = 27

10d + 5n = 180  ( multiply eq.2 by 100 )

 -5d - 5n = -135

      5d = 45

        d = 9 , there are 9 dimes so,0.90

        n = 27 - 9 = 18,   there are 18 nickels so, 0.90

To check:   9 dimes + 18 nickels = 27 coins

                0.90 + 0.90 = $ 1.80 total value of the coins

Step-by-step explanation:

if x is the amount of weekend hours, let y be the amount of weekday hours. then you can solve for x by using the equations x + y = 190 and 49x + 25y = 5275. once you have values for x and y, the other answers should be easy

Answer: It’s A

Step-by-step explanation: C= -14/3 which is simplified to -4 2/3

Answer:

A.

Step-by-step explanation:

So you foil 2c and -5

Which will give you 5c+4=2c-10

Subtract 2c 5c-2c+4=2c-2c-10

Then You will get3c+4=−10

Step 3: Subtract 4 from both sides.

3c+4−4=−10−4

3c=−14

Step 4: Divide both sides by 3.

3c/3=-14/3

So it will be -14/3 which is -42/3

Which is A.

Answer:

y = 7x - 47

Step-by-step explanation:

y = mx + b (m is slope, b y-intercept)

Parallel lines have the same slope.

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~

y = 7x + 1

m = 7

(6, - 5)

y + 5 = 7 (x - 6)

y = 7x - 47

Answer:

69

Step-by-step explanation:

Answer:

x and y intercepts are alike because they're both on the graph ,they help you graph a line, they can be both found in the slope-intercept form equation

they're different one is when it can be found where it crosses the X line and one can be found where it's the y line, when is found at the end of the equation for slope intercept form and what is found near the slope. x-intercept is an input and y-intercept is an output

Answer:

sorry it couldn't let me suck read bio

The sequence 2,5,8,..... The sum of the 1st 36 terms in arithmetic sequence is 1962.

Given that,

The sequence 2,5,8,.....

We have to find the sum of the 1st 36 terms of the sequence.

We have an sum of the sequence formula from arithmetic sequence.

The sum of all the digits in an arithmetic sequence is determined using the sum of the arithmetic sequence formula. Remember that the addition of the members is the definition of a finite arithmetic sequence. The typical order of the arithmetic sequence is (a, a + d, a + 2d,...), with "a" standing for the first term and "d" for the common difference.

Sum of the arithmetic sequence is S = n/2 {2a + (n − 1) d}

Where

S is the total of the mathematical sequence,

a is the first term,

d is difference of the terms,

n is number of terms in the sequence.

So, now a =2, n=36,d=5-2=3

S=36/2{ 2×2+(36-1)×3}

S=18{4+(35)×3}

S=18(4+105)
S=18×109

S=1962

Therefore, the sum of the 1st 36 terms in arithmetic sequence is 1962.

To learn more about sequence visit: https://brainly.com/question/21961097

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