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Eva8 [605]
4 years ago
6

Can I get an example of systems of equations that represent the solution of this situation below? Thank you! ^ ^

Mathematics
1 answer:
Alenkinab [10]4 years ago
7 0

Answer:

1x+ 1y =11

10x + 5y = 80

x = the cost of a taco = $5

y = the cost of a burrito = $6

Step-by-step explanation:

x = the cost of a taco

y = the cost of a burrito

1x+ 1y =11

10x + 5y = 80

rearange 1st equation as y = 11 -x and plug in into the 2nd one for y:

10x + 5( 11-x) = 80 distribute left side

10x + 55 - 5x = 80 combine like terms

10x - 5x = 5x

5x + 55 = 80 subtract 55 from both sides

5x = 80 - 55

5x = 25 divide by 5

x = 5

plug in for y in 1st equation y = 11--x =11-5 = 6

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Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim
Ber [7]

The given function is

f(x)=4\cos \text{(}\pi x)+1

The general form of the cosine function is

y=a\cos (bx+c)+d

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}

The equation of the midline is

y_{ml}=\frac{y_{\max }+y_{\min }}{2}

Since the maximum is at the greatest value of cos, which is 1, then

\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}

Since the minimum is at the smallest value of cos, which is -1, then

\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}

Then substitute them in the equation of the midline

\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0
1 year ago
Jason wants to walk the shortest distance to get from the parking lot to the beach. a.How far is the spot on the beach from the
lara31 [8.8K]

3 RIGHT TRIANGLES

1 big right triangle is divided into 2 smaller ones. Medium and small.

<span> a.How far is the spot on the beach from the parking lot? </span>

Medium triangle: long leg = 32 m ; short leg = x

Small triangle: long leg = x ; short leg = 18m

32/x = x/18

32*18 = x*x

576 = x²

√576 = √x²

24 = x    

Parking lot to the beach is 24 meters.

<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>

Use Pythagorean theorem:

Medium triangle: long leg = 32 m ; short leg = 24 m ; hypotenuse = ?

32²+ 24² = c²

1024 + 576 = c²

1600 = c²

√1600 = √c²

40 m = c

Parking lot to refreshment stand is 40 meters.

5 0
4 years ago
Please help me understand
ioda

9514 1404 393

Answer:

  C.  18 inches

Step-by-step explanation:

The median of a trapezoid is the line segment that joins the midpoints of the sides of the trapezoid. It is halfway between the parallel bases, and is parallel to them. It length is the average of the lengths of the two bases:

  (15 +21)/2 = 36/2 = 18 . . . . inches

7 0
3 years ago
Is this a right triangle 8,12,15
ycow [4]

Answer:

I don't think so

Step-by-step explanation:

a^{2}+b^{2}=c^{2}

If you insert your lengths, 8^{2}+12^{2} does not equal 15^{2}

6 0
3 years ago
Combine the radicals. 3√5-8√5+2√5
weeeeeb [17]

Answer:  -3\sqrt{5}

-3 times the square root of 5

=============================================

Explanation:

Let x = \sqrt{5}

Replace all the root 5 terms with x and we go from

3\sqrt{5}-8\sqrt{5}+2\sqrt{5}

to

3x-8x+2x

From here, combine like terms to get

3x-8x+2x = -5x+2x = -3x

and the last thing to do is replace the x with sqrt(5)

-3x = -3\sqrt{5}

Meaning that,

3x-8x+2x = -3x

3\sqrt{5}-8\sqrt{5}+2\sqrt{5} = -3\sqrt{5}

7 0
3 years ago
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