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elena-14-01-66 [18.8K]
3 years ago
9

First let’s go on a trip! you come into some money and decide to go to canada where the exchange rate is 1.04 canadian dollars t

o 1 us dollar. you have $10000 us to take with you. what is the equivalent value in canadian dollars?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0
13092.50 Canadian dollars equals to $10000 US dollars.
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Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t
gavmur [86]

Answer:

x=-7

Step-by-step explanation:

We have been given an equation y=2x^2+28x+96. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

2x^2+28x+96=0

Dividing both sides by 2:

x^2+14x+48=0

Splitting the middle term:

x^2+6x+8x+48=0

(x^2+6x)+(8x+48)=0

x(x+6)+8(x+6)=0

(x+8)(x+6)=0

Using zero product property:

(x+8)=0\text{ (or) }(x+6)=0

x+8=0\text{ (or) }x+6=0

x=-8\text{ (or) }x=-6

Therefore, the zeros of the given equation are x=-8\text{ (or) }x=-6.

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

\frac{-8+(-6)}{2}=\frac{-14}{2}=-7

Therefore, the equation x=-7 represents the line of symmetry of the given parabola.

4 0
3 years ago
Hello:) anyone able to explain how to solve the equestrian for part (d) ? Thank youu
Anna007 [38]

Answer:

see explanation

Step-by-step explanation:

Given

4a^{4} - 5a² + 1 = 0

Use the substitution u = a², then equation is

4u²  - 5u + 1 = 0

Consider the product of the coefficient of the u² term and the constant term

product = 4 × 1 = 4 and sum = - 5

The factors are - 4 and - 1

Use these factors to split the u- term

4u² - 4u - u + 1 = 0 ( factor the first/second and third/fourth terms )

4u(u - 1) - 1(u - 1) = 0 ← factor out (u - 1) from each term

(u - 1)(4u - 1) = 0

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

4u - 1 = 0 ⇒ 4u = 1 ⇒ u = \frac{1}{4}

Convert u back into terms of a, that is

a² = 1 ⇒ a = ± 1

a² = \frac{1}{4} ⇒ a = ± \frac{1}{2}

Solutions are a = ± 1 , a = ± \frac{1}{2}

7 0
3 years ago
Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
tester [92]

Given:

Polynomial is 3x^2+15x-56.

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

3x^2+15x-56+(x-8)^2

=3x^2+15x-56+x^2-2(x)(8)+8^2    [\because (a-b)^2=a^2-2ab+b^2]

=3x^2+15x-56+x^2-16x+64

On combining like terms, we get

=(3x^2+x^2)+(15x-16x)+(-56+64)

=4x^2-x+8

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is 4x^2-x+8.

7 0
3 years ago
Twice c is equal to 44
Juliette [100K]

Answer:

C=44/2

c=22

Two time c is equal to 44

one time c is equal to 22

5 0
2 years ago
Mrs. Dalton needs 1/2 cup mixed nuts for her granola recipe. She only has a 1/4 cup measuring cup. Write the equivalent fraction
Sonbull [250]
1/4 = .25

1/2 = .50

If you multiply 1/4 by 2, it is equal to 2/4 or .50 .

If you want to simplify, 2/4 divided by 2 equals 1/2.

Actual equivalent fraction: 2/4
Simplified: 1/2

Hope I was able to help!
5 0
3 years ago
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