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Slav-nsk [51]
2 years ago
10

Easy Points! also plz help I'm stuck rn :)

Mathematics
2 answers:
Masteriza [31]2 years ago
8 0

Answer:

6 1/4 cups of flour

Step-by-step explanation:

First we can add up the amount of flour needed for the cake and the cookies:

3 3/4 + 8 = 11 3/4 cups

Since he only has 5 1/2 cups of flour, we can subtract 5 1/2 from 11 3/4 to get the amount of flour he needs.

11 3/4 - 5 1/2 = 11 3/4 - 5 2/4 = 6 1/4

prohojiy [21]2 years ago
4 0

Answer:

6 1/4

Step-by-step explanation:

my bad if it's wrong

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vovikov84 [41]

Answer:

1.5

Step-by-step explanation:

3 0
3 years ago
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Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f
vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

f(x)=ax^3+bx^2+cx+d

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

y = x^3 - x

Equate y to 0

x^3 - x = 0

Expand

x(x^2 - 1) = 0

Express x^2 - 1 as difference of two squares

x(x - 1)(x +1 ) = 0

<em>x = 0 or 1 or -1</em>

For 2 x intercepts

y = x^3 - x

y  =(x-5)^2)(x+7)

Equate y to 0

(x-5)^2(x+7) = 0

Expand

(x-5)(x-5)(x+7) = 0

<em>x= 5 or x = -7</em>

For 1 x intercept

y = x^3

Equate y to 0

x^3 = 0

Take cube roots of both sides

x = 0

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

y = x^2 + x + 17

<em>The above function has no x intercept.</em>

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

y = x^2- 6x + 9

Equate y to 0

x^2- 6x + 9 = 0

Expand

x^2 - 3x - 3x + 9 = 0

(x - 3)(x-3) = 0

x = 3

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0
3 years ago
an engineer has a 54 inch wire that she has to cut into two pieces so that one piece is 8 inches shorter than the other find the
Brilliant_brown [7]

Hey there!!

Let's take the length of the bigger piece as x inches

Then, the length of the smaller piece would be x - 8 inches

The sum of these lengths would be 54 inches

... x + x - 8 = 54

... 2x - 8 = 54

... Add 8 on both sides

... 2x = 62

... Divide 2 on both sides

... x = 31

Hence, the length of the bigger piece = 31 inches

The length of the smaller piece would be = 31 - 8 = 23 inches

Hope my answer helps!!

4 0
4 years ago
Show that the line 4y = 5x-10 is perpendicular to the line 5y + 4x = 35 ​
Shkiper50 [21]

Step-by-step explanation:

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8 0
3 years ago
Find the indicated real nth root(s) of a. n=3, a=729
marissa [1.9K]

Answer:

9

Step-by-step explanation:

n=3, a=729

For any odd integer, n ; a will have only one real nth root which will be a positive integer.

Similarly, for any integer, n, that is > 1 ; related by the expression ;

p^n = a ; the nth root of a = p

Therefore,

If n = 3 ; a = 729

p^3 = 729

To obtain the value of p ; take the cube of both sides

(p^3)*1/3 = 729^1/3

p = 9

Hence, the real nth root of 729 is +9 when n = 3

6 0
3 years ago
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