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jek_recluse [69]

3 years ago

6

What is 2x-3y=5 x+2y=-1

1 answer:

Alexxx [7]3 years ago

5 0

Answer:

a system of linear equations with solution (x, y) = (1, -1)

Step-by-step explanation:

The two given linear equations in x and y are consistent and independent, so will have one solution. That solution is easily found using a graphing calculator. It is (x, y) = (1, -1).

_____

"What is ..." is a pretty open question with lots of different answers that won't be helpful. If you're seeking a specific answer, it would be nice to see the question say what answer you seek.

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At a local movie theatre, sodas cost $4.50 and bags of popcorn cost $1.50. Kirk buys three times as many bags of popcorn as soda

BigorU [14]

Based on the calculations, Kirk bought 2.4 bags of popcorn and 7.2 sodas.

Let the number of sodas bought be s.

Let the number of bags of popcorn be p.

<u>Given the following data:</u>

Cost of soda = $4.50.

Cost of popcorn = $1.50.

Total price = $36.

a. To write a system of equations that models this scenario:

<h3>What is a system of equations?</h3>

A system of equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

<h3>For the soda and popcorn:</h3>

$4.5s+1.5p=36$ ...equation 1.

Translating the word problem into an algebraic expression, we have;

Three times as many bags of popcorn as sodas:

$3p=s$ ...equation 2.

b. To determine how many of each item Kirk bought:

Substituting eqn. 2 into eqn. 1, we have:

$4.5(3p)+1.5p=36\\\\13.5p+1.5p=36\\\\15p=36\\\\p=\frac{36}{15}$

p = 2.4 bags of popcorn

<u>For soda:</u>

$s=3p\\
\\
s=3 \times 2.4$

s = 7.2 sodas.

Read more on word problems here: brainly.com/question/13170908

5 0

2 years ago

What is the answer for (x-3) (x 3) = 8x?

7nadin3 [17]

82 I think is your answer

5 0

3 years ago

Daryl measures the angle of elevation to be 62 degrees. Frances measures the angle of elevation to be 54 degrees. if the two ent

Leya [2.2K]

Answer:

<em>The helicopter is 27.38 m far off the ground</em>

Step-by-step explanation:

The drawing shown in the image below has all the measures and variables needed to solve the problem.

We need to find R, the height of the helicopter. We'll use the law of sines to find the length of side a.

$\displaystyle \frac{28}{\sin X}=\frac{a}{\sin 54^\circ}$

The angle X is the measure needed to complete 180°:

X = 180° - 54° - 62° = 64°

Solving for a:

$\displaystyle a=\frac{28}{\sin 64^\circ}\cdot \sin 54^\circ$

Calculating:

a = 31.11 m

Now using the sine ratio in the right triangle to the left side:

$\displaystyle \sin 62^\circ=\frac{R}{a}$

Solving for R:

$R=a\sin 62^\circ$

R=31.11*0.88

R = 27.38 m

The helicopter is 27.38 m far off the ground

5 0

3 years ago

SHOW WORK I’ll mark you brainlist

dangina [55]

Answer:

y=-2x+11 i believe :)....

5 0

3 years ago

For which of the following decreasing functions f does (f−1)′(10)=−1/8

Oduvanchick [21]

Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then

f⁻¹(f(x)) = x ⇒ (f⁻¹)'(f(x)) • f'(x) = 1 ⇒ (f⁻¹)'(f(x)) = 1/f'(x)

⇒ (f⁻¹)'(b) = 1/f'(a)

Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.

7 0

2 years ago