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3 years ago

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Joe went to a market and bought 5 carrots for a total of $10.50. If each carrot cost the same amount, how many dollars did each

carrot cost? Express your answer as a decimal to the nearest hundredth

1 answer:

Jet001 [13]3 years ago

6 0

Answer:

Step-by-step explanation:

so he spent 10.50 for 8 carrots...

10.50 / 8 = 1.3125 rounds to $ 1.31 per carrot <==

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Answer the following questions. Make sure to show all your work.

KengaRu [80]

a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations

b) since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equation

In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value

For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:

f(x) = 2x + 1

f(-0.8) = 2(-0.8) + 1

f(-0.8) = -1.6 + 1

f(-0.8) = -0.6

Simiarly;

y = -3(-0.8)- 3

y = 2.4 - 3

y = -0.6

Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations

For the point (1/3, 2), substitute x = 1/3 into both functions as shown:

x = (y+2)/2

x = (2+2)/2

x = 4/2

x = 2

Simiarly;

x + 2 = 3

x = 3-2

x = 1

Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equations

Learn more on systems of equation here: brainly.com/question/847634

5 0

2 years ago

What are whole numbers

DedPeter [7]

A number without fractions; an integer.

6 0

3 years ago

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Complete the square.<br> x2 + 14x +

jasenka [17]

Answer:

x² + 14x + 49

Step-by-step explanation:

x² + 14x + 49

each side = (x+7)

8 0

2 years ago

What is the area of a rectangle with vertices at (4, 3), (11, 3), (11, 9), and (4, 9)?

Brums [2.3K]

Answer:

The area of a rectangle is 42 units ².

Step-by-step explanation:

As the diagram is given below.

Distance Formula

$Distance\ formula = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

As the rectangle with vertices at A (4, 3), B(11, 3),C (11, 9), and D (4, 9).

Take A (4, 3) to B(11, 3)

$AB = \sqrt{(11-4)^{2}+(3-3)^{2}}$

$AB = \sqrt{(7)^{2}+(0)^{2}}$

$AB = \sqrt{49}$

$\sqrt{49} =7$

AB = 7 units

As take B(11, 3) to C (11, 9).

$BC = \sqrt{(11-11)^{2}+(9-3)^{2}}$

$BC = \sqrt{(0)^{2}+(6)^{2}}$

$BC = \sqrt{36}$

$\sqrt{36} =6$

BC = 6 units

As take C (11, 9) toD (4, 9).

$CD = \sqrt{(4-11)^{2}+(9- 9)^{2}}$

$CD = \sqrt{(7)^{2}+(0)^{2}}$

$CD = \sqrt{49}$

$\sqrt{49} =7$

CD = 7 units

As take D (4, 9) to A (4, 3)

$DA = \sqrt{(4-4)^{2}+(3-9)^{2}}$

$DA = \sqrt{(0)^{2}+(-6)^{2}}$

$DA = \sqrt{36}$

$\sqrt{36} =6$

DA = 6 units

Thus

AB = DC= 7 units

AD = BC = 6 units

Formula

Area of rectangle = Length × Breadth

Length = 7 units

Breadth = 6 units

Put value in the above

Area of rectangle = 7 × 6

= 42 units ²

Therefore the area of a rectangle is 42 units ².

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3 years ago

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Write p(x) = 21 + 24x + 6x2 in vertex form.

Citrus2011 [14]

<u>ANSWER</u>

$p(x)=-3+6(x+2)^2$

<u>EXPLANATION</u>

The given function is

$p(x)=21+24x+6x^2$

We make the coefficient of $x^2$ unity by factoring $6$ out of the last two terms to obtain;

$p(x)=21+6(4x+x^2)$

We now add and subtract half the coefficient of $x$ multiplied by a factor of 6 to obtain;

$p(x)=21-6(2)^2+6(2)^2+6(4x+x^2)$

We now factor 6 out of the last two terms to get;

$p(x)=21-6\times 4+6((2)^2+4x+x^2)$

$p(x)=21-24+6((2)^2+4x+x^2)$

The quadratic trinomial in the parenthesis is now a perfect square.

$p(x)=-3+6(x+2)^2$

Hence the vertex form of the polynomial is

$p(x)=6(x+2)^2-3$

8 0

3 years ago

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