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3 years ago

A supermarket advertises 3 pounds of tomatoes for $ 1.20. How much would it cost to buy 5 pounds of tomatoes?

Mathematics

1 answer:

AleksandrR [38]3 years ago

5 0

Answer:

$2.00

Step-by-step explanation:

$1.20÷3=0.40

therefore a pound of tomatoes is for $0.40¢

so 5lbs is for: 5×0.40

=$2.00

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Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16

s344n2d4d5 [400]

Answer:

$k=3$

Step-by-step explanation:

Let

$f(x)=2x^3+18x^2-18x-162$

We factor 2 to obtain;

$f(x)=2(x^3+9x^2-9x-81)$

We factor the polynomial within the parenthesis by grouping.

$f(x)=2(x^2(x+9)-9(x+9)$

$f(x)=2(x^2-9)(x+9)$

$f(x)=2(x^2-3^2)(x+9)$

We apply difference of two squares on the second factor: $x^2-3^2=(x-3)(x+3)$

$f(x)=2(x+3)(x-3)(x+9)$

We now compare to;

$f(x)=2(x+k)(x-k)(x+9)$

It is now obvious that $k=3$

6 0

3 years ago

Given the following system of equations: -4x+8=16, 2x+4y=32 what action was completed to create this new equivalent system of eq

castortr0y [4]

The equation (1) is divided by 2 to create new equivalent system of equations.

Step-by-step explanation:

The given systems of equations are:

$-4x+8y=16\,\,\,(1)\\2x+4y=32\,\,\,(2)$

Considering 8y instead of 8 in eq(1)

We need to identify what action was completed to create this new equivalent system of equations? $-2x+4y=8, 2x+4y=32$

Comparing given equations we came to know that equation(1) is divided by 2 to get the new equation i.e

$-4x+8y=16\\Divide\,\,by\,\,2:\\-2x+4y=8$

While second equation is same as given.

So, The equation (1) is divided by 2 to create new equivalent system of equations.

Keywords:System of Equation

Learn more about System of Equation at:

#learnwithBrainly

4 0

3 years ago

Help me please! I need help!

RSB [31]

Answer:

52 and 65 those are the ages of principles between 50%

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3 years ago

PLEASE HELP WITH FINDING AREA

AnnyKZ [126]

When you have an irregular figure, you can divide it so that it becomes multiple normal figures. You already did this in the picture, now you just have to find the area of each shape and then add them all together.

From bottom to top:

A=1/2 (b1+b2)h

A= 1/2 (4+2.24)(2)

A= 6.24

(you have two of these on either side)

A=bh

A=6(4)

A=24

A=1/2 bh

A= 1/2 (4)(4)

A=8

(NOTE: there is an error in your drawing. The height of the triangle cant be determined because the 10 value spans over the entire figure when the wings of the rocket are 4 units long and then the body is 6 units long, making it equal 10 already. I'm assuming that the 10 is supposed to go from the bottom of the rectangle to the top of the triangle)

Total figure= 6.24 + 6.24 + 24 + 8

total figure = 44.48

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3 years ago

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Colt1911 [192]

Answer: 17.320508075689

Step-by-step explanation:

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2 years ago