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3 years ago

Solve for x. (Geometry)

Mathematics

2 answers:

GrogVix [38]3 years ago

7 0

HOPE THIS IS THEANSWER YOU NEEDED

pentagon [3]3 years ago

3 0

Answer:

x = 7

Step-by-step explanation:

The indicated angles are vertical and congruent, thus

14x + 2 = 13x + 9 ( subtract 13x from both sides )

x + 2 = 9 ( subtract 2 from both sides )

x = 7

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Evaluate.

guajiro [1.7K]

Answer:

Step-by-step explanation:

23+4⋅2−7

PEMDAS

Multiply first

23+8−7

Add and subtract from left to right

31-7

4 0

2 years ago

Solve this system of linear equations. separate the x- and y- values with a coma. -12x=-75-11y

ycow [4]

Solve the following system:
{-12 x = -11 y - 75 | (equation 1)
{-5 x = -11 y - 89 | (equation 2)
Express the system in standard form:
{-(12 x) + 11 y = -75 | (equation 1)
{-(5 x) + 11 y = -89 | (equation 2)
Subtract 5/12 × (equation 1) from equation 2:
{-(12 x) + 11 y = -75 | (equation 1)
{0 x+(77 y)/12 = (-231)/4 | (equation 2)
Multiply equation 2 by 12/77:
{-(12 x) + 11 y = -75 | (equation 1)
{0 x+y = -9 | (equation 2)
Subtract 11 × (equation 2) from equation 1:
{-(12 x)+0 y = 24 | (equation 1)
{0 x+y = -9 | (equation 2)

Divide equation 1 by -12:
{x+0 y = -2 | (equation 1)
{0 x+y = -9 | (equation 2)
Collect results:
Answer: {x = -2 {y = -9

please note that the parentheses "{" should span over both equations but the editor doesn't allow that so I should it on both line, See attached example.

4 0

3 years ago

Keegan is priting and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total p

Damm [24]

Complete question is;

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total profits will be p(x) = -x³ + 4x² + x dollars, in thousands will be earned. How many t-shirts (rounded to the nearest whole number) should he print in order to make maximum profits? What will his profits rounded to the nearest whole dollar be if he prints that number of shirts?

Answer:

Number of t-shirts to make maximum profit = 2790 shirts

Maximum profit = $12,209

Step-by-step explanation:

From the question, we are given that the profit function is;

p(x) = -x³ + 4x² + x

For the maximum value of the profit function,

(dp/dx) = 0 and (d²p/dx²) < 0

Since, p(x) = -x³ + 4x² + x

Then,

(dp/dx) = -3x² + 8x + 1

at maximum point (dp/dx) = 0, thus;

-3x² + 8x + 1 = 0

Solving this using quadratic formula, the roots are;

x = -0.12 or 2.79

Also, (d²p/dx²) = -6x + 8

Now, let's put the roots of x into -6x + 8 and check for maximum value conditon;

at x = -0.12

(d²p/dx²) = -6(0.12) + 8 = 7.28 > 0

At x = 2.79

(d²p/dx²) = -6(2.79) + 8 = -8.74 < 0

Maximum has to be d²p/dx² < 0

So, the one that meets the condition is -8.74 < 0 at x = 2.79

Thus, the maximum of the profit function exists when the number of shirts, x = 2.79 (in thousands) = 2790

Now, the maximum profits that corresponds to this number of t-shirts of 2.79(in thousands) is obtained by putting 2.79 for x in the profit function;

So,

p(2.79) = -(2.79)³ + 4(2.79²) + 2.79

p(x) = -21.7176 + 31.1364 + 2.79

p(x) = 12.2088 (in thousand dollars) ≈ $12,209

6 0

2 years ago

What is an explicit formula for the following sequence 1,5,9,13,17 ? plssss helppp mee

morpeh [17]

Answer:

plus 4 every time

Step-by-step explanation:

1+4=5+4=9+4=13+4=17

7 0

3 years ago

Hey guys stuck on three questions, can you help out a bit? Thanks!

alexandr1967 [171]

Answer:

Step-by-step explanation:

Because the numbers do not comply with the like 11+6+18+21= no answer and multiplying them all didn't matter either so its none of the above

7 0

3 years ago