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Delicious77 [7]
3 years ago
7

Parabola A can be represented using the equation (x + 3)2 = y, while Line B can be represented using the equation y = mx + 9. Is

abel determines one solution to the system of two equations must always pass through the vertex of Parabola A. Which best describes the reasonableness of her solution? Isabel is correct because the y-intercept of Line B is (0, 9) and the value of y when x = 0 in Parabola A is 9. Isabel is correct because the y-intercept of Line B is (9, 0) and the value of x when y = 0 in Parabola A is 9. Isabel is incorrect because the point of intersection between Line B and Parabola A that can be determined is the y-intercept of the functions, not necessarily the vertex. Isabel is incorrect because the point of intersection between Line B and Parabola A that can be determined is the x-intercept of the functions, not necessarily the vertex.

Mathematics
2 answers:
KiRa [710]3 years ago
3 0
The 1st choice is the correct one.

Isabel is correct because the y-intercept of Line B is (0, 9) and the value of y when x = 0 in Parabola A is 9.

Sonbull [250]3 years ago
3 0

Answer:

A

Step-by-step explanation:

that guy said so

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Jack was finding the special product of a perfect square binomial. Check Jack’s work and identify the mistake that he made, and
julsineya [31]

Answer:

D) Jack made a mistake while squaring first term, 16x^2 - 8x +1

Step-by-step explanation:

(4x-1)^2

we apply (a-b)^2 formula

(a-b)^2 = a^2 - 2ab +b^2

a= 4x  and b= 1

Replace 'a' with 4x  and 'b' with 1

(4x-1)^2 = (4x)^2 - 2(4x)(1) +1^2

(4x)^2 is 16x^2

(4x-1)^2 = 16x^2 - 8x +1

Jack made a mistake while squaring first term

(4x)^2 is 4^2x^2 that is 16x^2



6 0
3 years ago
Which scenario would most likely show a negative association between the variables? A. the height of a tree and the amount of ti
damaskus [11]

Answer: i would say B because it makes the most sence

Step-by-step explanation:

4 0
3 years ago
How do I determine z ∈ C:
saw5 [17]

Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3-2i}{1+i}\cdot\dfrac{1-i}{1-i} - \dfrac{5+3i}{1+2i}\cdot\dfrac{1-2i}{1-2i}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{(3-2i)(1-i)}{1-i^2} - \dfrac{(5+3i)(1-2i)}{1-(2i)^2}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 2i - 3i + 2i^2}{1-(-1)} - \dfrac{5 + 3i - 10i - 6i^2}{1-4(-1)}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 5i + 2(-1)}2 - \dfrac{5 - 7i - 6(-1)}5

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2 - \dfrac{11 - 7i}5

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2\cdot\dfrac55 - \dfrac{11 - 7i}5\cdot\dfrac22

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{5 - 25i - 22 + 14i}{10}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = -\dfrac{17 + 11i}{10}

So, the equation is simplified to

-\dfrac{17+11i}{10} z = \dfrac12 - \dfrac{2i}5

Let's combine the fractions on the right side:

\dfrac12 - \dfrac{2i}5 = \dfrac12\cdot\dfrac55 - \dfrac{2i}5\cdot\dfrac22

\dfrac12 - \dfrac{2i}5 = \dfrac{5-4i}{10}

Then

-\dfrac{17+11i}{10} z = \dfrac{5-4i}{10}

reduces to

-(17+11i) z = 5-4i

Multiply both sides by -1/(17 + 11i) :

\dfrac{-(17+11i)}{-(17+11i)} z = \dfrac{5-4i}{-(17+11i)}

z = -\dfrac{5-4i}{17+11i}

Finally, simplify the right side:

-\dfrac{5-4i}{17+11i} = -\dfrac{5-4i}{17+11i} \cdot \dfrac{17-11i}{17-11i}

-\dfrac{5-4i}{17+11i} = -\dfrac{(5-4i)(17-11i)}{17^2-(11i)^2}

-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44i^2}{289-121(-1)}

-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44(-1)}{410}

-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 123i}{410}

-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 41\cdot3i}{410}

-\dfrac{5-4i}{17+11i} = -\dfrac{1 - 3i}{10}

So, the solution to the equation is

z = -\dfrac{1-3i}{10} = \boxed{-\dfrac1{10} + \dfrac3{10}i}

4 0
3 years ago
An Easter basket contains eggs of three different colors. Find the total number of eggs in the basket if 2 7 of all eggs are gre
mrs_skeptik [129]

Answer:

Total number of eggs in basket = 56

Step-by-step explanation:

Let z be the total number of eggs

Green eggs = \frac{2}{7} × z   ........1

Blue eggs =  \frac{1}{4} × z    .......2

Rest of eggs = 26  ........3

The addition of 1, 2 and 3 is equal to z  

\frac{2}{7} × z + \frac{1}{4} + 26 = z

\frac{8z + 7 z}{28} + 26 = z                        ∵GCF for 4 and 7 is 28  

\frac{15z}{28}  + 26 = z

15z + (26 × 28) = 28z                ∵ multiply both sides by 28

15z + 728 = 28z

28z - 15z = 728     .......... rearranging above equation

13z = 728  ⇒   z = \frac{728}{13}   ⇒  z = 56

Total number of eggs = z = 56

6 0
3 years ago
Read 2 more answers
A. Use the points (5, 1273) and (10, 2546) to write an equation for the line.
pantera1 [17]

Using the points (5, 1273) and (10, 2546), equation for the line is 5y =  1273x.

<h3>Define equation.</h3>

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

Given,

Coordinates (5, 1273) and (10,2546)

For slope, m

m = y₂ - y₁/ x₂ - x₁

m = 2546 - 1273/10 -5

m = 1273/5

Equation in y = mx form,

y = 1273/5 x

Cross multiplying,

5y =  1273x

To learn more about equation, visit:

brainly.com/question/10413253

#SPJ1

8 0
1 year ago
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