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2 years ago

Ali has a quarters, d dimes, and n nickels. He gets four more quarters. He gives away three

Mathematics

1 answer:

viva [34]2 years ago

4 0

Answer:

(q + 4) + (d - 3) + n

Step-by-step explanation:

You have to add all of them.

You have to add q, d, and n.

so q + d + n

and then you add four more q's so

(q + 4) + d + n

and then you lost 3 dimes so

(q + 4) + (d - 3) + n

and nothing happened to n so that is the answer.

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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

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

x = 0 or 1 or -1

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

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

x= 5 or x = -7

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.

$y = x^2 + x + 17$

The above function has no x intercept.

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

2 years ago

Simplify what is written here

Inessa05 [86]

When multiplying terms that have the same base (in this case, $x$ ) but different exponents, you can add their exponents to make them one term.

In this case, we can add the exponents of $x$ :

$x \cdot x^5 \cdot x^5$

$x^{(1 + 5 + 5)}$

$\boxed{x^{11}}$

A simplified version is $x^{11}$ .

4 0

2 years ago

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Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was wate

worty [1.4K]

Answer:

B. The amount of water originally in Wilson's can was 2.5 gallons.

7 0

2 years ago

말 8.) A baker is ordering eggs for the week. How many cartons of 6 eggs would a baker need to have 225 eggs all together? Explai

morpeh [17]

Answer:

Step-by-step explanation:

We know that each carton contains 6 eggs and we need a total of 225. To find this answer, divide 225 by 6, which is 37.5. We would have to round up one because you cannot buy half of a carton. So the answer is 38 cartons.

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2 years ago

Tristan has 45 apples and 20 pears tgat he is putting into gift baskets.Each basket will have the same number of apples and pear

Olegator [25]

Tristan can make 5 fruit baskets with no fruit left over. 9 x 5 = 45 and 4 x 5 = 20
9 apples and 4 pears will go in each fruit basket.

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2 years ago

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