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spin [16.1K]
3 years ago
12

The work of a student to find the dimensions of a rectangle of area 6 + 8x and width 2 is shown below:

Mathematics
2 answers:
tatiyna3 years ago
5 0
Answer:
Step 2; 2(3) = 2(4x)
IrinaK [193]3 years ago
3 0

Answer:

d

Step-by-step explanation:

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During apple-picking season, 7 out of every 10 apples that are picked have a leaf attached to their stem. If Jackson picked 210
nekit [7.7K]

Answer:170

Step-by-step explanation:

Multiply 210 by 0.70 because that's equal to 70%. This will give you the answer.

6 0
3 years ago
Read 2 more answers
Use the Distributive Property to solve the equation.
aliya0001 [1]

Answer:

x = -6

Step-by-step explanation:

-5(x + 3) = 15

Distribute the -5

-5x -15 =15

Add 15 to each side

-5x-15+15 =15+15

-5x = 30

Divide each side by -5

-5x/-5 = 30/-5

x =-6

8 0
3 years ago
Verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial
Mariulka [41]

Answer:

i) Since P(2), P(-1) and P(½) gives 0, then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

ii) - the sum of the zeros and the corresponding coefficients are the same

-the Sum of the products of roots where 2 are taken at the same time is same as the corresponding coefficient.

-the product of the zeros of the polynomial is same as the corresponding coefficient

Step-by-step explanation:

We are given the cubic polynomial;

p(x) = 2x³ - 3x² - 3x + 2

For us to verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial, we will plug them into the equation and they must give a value of zero.

Thus;

P(2) = 2(2)³ - 3(2)² - 3(2) + 2 = 16 - 12 - 6 + 2 = 0

P(-1) = 2(-1)³ - 3(-1)² - 3(-1) + 2 = -2 - 3 + 3 + 2 = 0

P(½) = 2(½)³ - 3(½)² - 3(½) + 2 = ¼ - ¾ - 3/2 + 2 = -½ + ½ = 0

Since, P(2), P(-1) and P(½) gives 0,then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

Now, let's verify the relationship between the zeros and the coefficients.

Let the zeros be as follows;

α = 2

β = -1

γ = ½

The coefficients are;

a = 2

b = -3

c = -3

d = 2

So, the relationships are;

α + β + γ = -b/a

αβ + βγ + γα = c/a

αβγ = -d/a

Thus,

First relationship α + β + γ = -b/a gives;

2 - 1 + ½ = -(-3/2)

1½ = 3/2

3/2 = 3/2

LHS = RHS; So, the sum of the zeros and the coefficients are the same

For the second relationship, αβ + βγ + γα = c/a it gives;

2(-1) + (-1)(½) + (½)(2) = -3/2

-2 - 1½ + 1 = -3/2

-1½ - 1½ = -3/2

-3/2 = - 3/2

LHS = RHS, so the Sum of the products of roots where 2 are taken at the same time is same as the coefficient

For the third relationship, αβγ = -d/a gives;

2 * -1 * ½ = -2/2

-1 = - 1

LHS = RHS, so the product of the zeros(roots) is same as the corresponding coefficient

7 0
3 years ago
HI PEEPS CAN ANYONE PLS PAY ATTENTION TO MY Q'S FOR ONCE :'(
leonid [27]
Square root of 154m^2 = 12.5~
So adding 1.5 to 12.5 and subtracting 1.5 to 12.5 gives us 11 and 14
Your dimensions are 11x14
Brainliest?
Thanks!
5 0
3 years ago
Lua is creating a rectangular prism the base of her prism is shown below she plans to have a height of 7 cubes
tresset_1 [31]

Answer:

63

Step-by-step explanation:

hhehehehhehehehehh hope this helps

7 0
3 years ago
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