Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. Determine a system of equations that represents the given the situation. Let x be cost per pound of apples and let y be the cost per pound of bananas. Which equation represents the amount of money Lydia spent of apples and bananas? Which equation represents the amount of money Ari spent on apples and bananas?

Answer:

B

Step-by-step explanation:

Answer:

thx for 5 points

Step-by-step explanation:

Answer:

1) Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Step-by-step explanation:

1) The function modelling the height of the balloon is h(x) = -11x + 330

Where;

x = The time of elevation of the balloon

The data for the graphing derived from Microsoft Excel are as follows

x    [tex]{}[/tex]   h(x)

0    [tex]{}[/tex]   330

5    [tex]{}[/tex]   275

10    [tex]{}[/tex]  220

15    [tex]{}[/tex]  165

20    [tex]{}[/tex]  110

25    [tex]{}[/tex]  55

30    [tex]{}[/tex]   0

Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11

2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable

Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x

Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Answer:

I had the same problem! Here is my work, pretty sure its the right answer!

Step-by-step explanation:

Solve for k:

k = 4 (2 − 3p)/p + 4

Answer:

k =  4(2 - 3p)/(p + 4).

Step-by-step explanation:

p(k + 12) = 8 – 4k

pk + 12p = 8 - 4k

pk + 4k = 8 - 12p

k(p + 4) = 8 - 12p

k = (8 - 12p)/(p + 4)

k = 4(2 - 3p)/(p + 4).

Answer:

Step-by-step explanation:

f(x) = a(x - x₁)(x - x₂)     - factored form of the equation of the parabola with zeros x₁ and x₂

x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7

So:

f(x) = a(x - 2)(x + 7)     - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)

The parabola passing through point (1, 32) means if x=1 then f(x)=32

Then:

        32 = a(1 - 2)(1 + 7)  

        32 = a(-1)(8)  

        32 = - 8a

         a = - 4

Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):

                           f(x) = -4(x - 2)(x + 7)  

Expanding to standard form:

     f(x) = -4(x - 2)(x + 7)

     f(x) = -4(x² + 7x - 2x - 14)  

     f(x) = -4x² - 20x + 56  

The equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is

f(x) = -4 ( x - 2 ) ( x + 7 )

Its standard form is

f(x) = -4x² - 20x + 56.

It is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

We have,

To find the equation of a parabola we use the factored form of a quadratic equation.

f(x) = a ( x - m ) ( x - n)

Where a is the leading coefficient and m and n are the zeros of the quadratic.

The equation has x-intercepts at (2, 0) and (-7, 0) so we can say that,

m = 2

n = -7

Now the equation passes through (1, 32) = (1, 32) so we have,

32 = a ( 1 - 2 ) ( 1 - (-7) )

32 = a ( -1 ) ( 1 + 7 )

32 = a ( -1 )8

32 = -8a

a = -32 / 8

a = -4

We have,

m = 2

n = -7

a = -4

The equation of the parabola is:

f(x) = a ( x - m ) ( x - n)

f(x) = -4 ( x - 2 ) ( x + 7 )

We can expand to its standard form as:

f(x) = ( -4x + 8 ) ( x + 7 )

f(x) = -4x² - 28x + 8x + 56

f(x) = -4x² - 20x + 56

Thus the equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is f(x) = -4 ( x - 2 ) ( x + 7 ) and its standard form is f(x) = -4x² - 20x + 56.

Learn more about parabola here:

https://brainly.com/question/4074088

#SPJ2

Answer:

C.

Step-by-step explanation:

Answer:

The answer x = 75

Step-by-step explanation:

A triangle's angles must add up to 180 degrees.

We already have 47 and 58 which is 105. 180 - 105 = 75.

Answer:

Step-by-step explanation:

Answer:

2. m∠4 + m∠5 = 210°

3. Alternate interior angles theorem.

4. 2 × m∠4 = 210°

5. 105°

Step-by-step explanation: i hope this helped youuuuuu have a wounderful thanksgiveing eat alot of food and you get to sleep in Imao!!!!

Answer:

Step-by-step explanation:

Change fractions to have the same denominator or change them all to a decimal.  Then add.

Decimal method:

1 and 15/100 is equal to 1.15

1/50 is equal to 0.02

The final term is already a decimal

Add.  1.15 + 0.02 + 1.175 = 2.345

Answer: The kites are  at the same height at 15.41s

Step-by-step explanation:

Step 1

Let t represent the time in seconds.

The equation that represents when both small and large kite are at the same height is given as

3.7 + 6.2t =20.65 +5.1t

Step 2----- Solving

3.7 + 6.2t =20.65 +5.1t

Taking like terms  and subtracting

6.2t-5.1t  = 20.65- 3.7

1.1t =16.95

t = 16.95/1.1

t=15.41s

The kites are  at the same height at 15.41s

Answer: it has to be D

Answer:

The Answer is D) Just did the test!!

Step-by-step explanation:

Answer:

y = - [tex]\frac{3}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{3}{2}[/tex] and c = - 4 , thus

y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{5}[/tex] + [tex]\frac{1}{2}[/tex] × [tex]\frac{2}{5}[/tex] ( perform multiplication before addition )

= [tex]\frac{3}{10}[/tex] + [tex]\frac{2}{10}[/tex]

= [tex]\frac{5}{10}[/tex] ( divide numerator/ denominator by 5 to simplify )

= [tex]\frac{1}{2}[/tex]

Answer:

0.5

Step-by-step explanation:

first put the given below:

1/2 × 3/5 + 1/2 × 2/5 = 0

second take the first and second for the first answer to make the whole answer:

((1/2 × 3)/5) = 0

( 1/2 ) × 3 = 1.5

1.5/5 = 0.3

FIRST SOLVATION ( ANSWER ): 0.3

third , after we take the first solvation the second is we need to compute the remaining given or number:

((1/2 × 2)/5) = 0

( 1/2 ) × 2 = 1

1/5 = 0.2

SECOND SOLVATION ( ANSWER ): 0.2

and the last but not the list , the last is add the first solvation and second solvation and you will see what is the answer:

0.3 + 0.2 = 0.5

FINAL ANSWER: 0.5

Answer:

6

Step-by-step explanation:

391/23=17 per hour

102/17=6 Hours

So he would have to work 6 hours to earn $102.00.

Answer: x=3

Step-by-step explanation:

6x + 3x - x + 9 = 33

Combine like terms:

6x+3x-x=8x

The equation is now 8x+9=33

Subtract 9 on both sides:

8x+9-9=33-9

8x=24

Divide 8 on both sides:

8x/8=24/8

x=3

Answer:

The answer is 180 yds squared.

Step-by-step explanation:

Segment the areas.  One area has the measurements 5 and 6. Then the other one has measurements 15 and 10. This means you get 150 + 30. The answer is 180 yds squared.

Answer:

Step-by-step explanation:

6÷2 = 3  and   18÷6 = 3  so:  q = 3

[tex]a_n=a_1\cdot q^{n-1}\\\\a_1=2\\q=3\\n=15\\\\a_{15}=2\cdot3^{15-1}\\\\a_{15}=2\cdot3^{14}\\\\a_{15}=9\,565\,938[/tex]

Answer:

9 565 938

Step-by-step explanation:

Answer:

its answer is in high school is ten

Answer:

The electric train produces no smoke.

Step-by-step explanation:

Hope this helped! :>

Answer:

There is no smoke.  This is because the train is electric so it does not even matter the direction.

Step-by-step explanation:

4 times of 7 (7 + 7 + 7 + 7 = 28) is the same as 7 times of 4 (4 + 4 + 4 + 4 + 4 + 4 + 4 = 28)

4^7 (4 x 4 x 4 x 4 x 4 x 4 x 4 = 16384) is not the same as 7^4 (7 x 7 x 7 x 7 = 2401)

Answer:

Yes.  The difference between them are the same.  Both have the same number of units between them,

Step-by-step explanation:

Answer:

y = -16

Step-by-step explanation:

y = -3(12) + 20

y = -36 + 20

y = -16

Hope this helps and pls do mark me brainliest if you can:)

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

Answer:

true

Step-by-step explanation:

Two triangles are congruent if both of them have the same length of sides. Two rectangles are congruent if both of them have the opposite sides are equal. Two squares are congruent if both of them have the same edges.

Answer:

20%

Step-by-step explanation:

Given parameters:

Marked price  = Rs. 100

Selling price  = Rs. 80

Unknown:

Discount rate  = ?

Solution:

The price on the label of an article is the marked price;

   Discount amount  = Marked price - selling price

                                  = Rs. 100  - Rs. 80

                                  = Rs. 20

Discount rate  = [tex]\frac{Discount }{Marked price } x 100[/tex]  

Discount rate  = [tex]\frac{20}{100}[/tex]  x 100  = 20%

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y - 8 = 0(x - 4) \\ y - 8 = 0 \\[/tex]

We have the final answer as

Hope this helps you

Answer: Abdul traveled 130 miles

Step-by-step explanation:

Step 1

Using the formula  to calculate how far Abdul traveled

Distance = speed x time.

Step 2---- Solving

In heavy traffic

Distance covered = speed x time = 30miles /hour x 1 hour = 30 miles

In light traffic

Distance covered = speed x time = 50miles/ hour x 2 hour = 100 miles

Total distance covered = Distance covered in heavy traffic + distance covered in light traffic = 100+ 30 = 130miles

Answer:

y=-7x+16

Step-by-step explanation:

y-y=m(x-x1)

y-2=-7(x-2)

y-2=-7x+14

+2 +2

y=-7x+16