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jonny [76]
3 years ago
11

Suppose you want to use elimination to solve this system. braceleftzh 2x + 17y = −3 5x + 4y = 9 By what numbers would you need t

o multiply the two equations in order to eliminate y? By what numbers would you need to multiply the two equations in order to eliminate x instead? Drag and drop the correct numbers and words into the boxes to complete the explanation. You could multiply the first equation by and the second equation by , and then the resulting equations to eliminate y. You might choose to eliminate x instead. To do this, you would multiply the first equation by and the second equation by and then the equations.
Mathematics
1 answer:
drek231 [11]3 years ago
3 0

Answer:

Step-by-step explanation:

The system of equations are expressed as

2x + 17y = −3 - - - - - - - - - 1

5x + 4y = 9 - - - - - - - - - - 2

In order to eliminate y, you will need to multiply equation 1 by 4 and equation 2 by 17. This would make them to have the same value of 68y.

You might choose to eliminate x instead. To do this, you will need to multiply equation 1 by 5 and equation 2 by 2. This would make them to have the same value of 10x.

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The height of a ball thrown vertically upward from a rooftop is modelled by h(t)= -4.8t^2 + 19.9t +55.3 where h (t) is the balls
nikitadnepr [17]

By applying the <em>quadratic</em> formula and discriminant of the <em>quadratic</em> formula, we find that the <em>maximum</em> height of the ball is equal to 75.926 meters.

<h3>How to determine the maximum height of the ball</h3>

Herein we have a <em>quadratic</em> equation that models the height of a ball in time and the <em>maximum</em> height represents the vertex of the parabola, hence we must use the <em>quadratic</em> formula for the following expression:

- 4.8 · t² + 19.9 · t + (55.3 - h) = 0

The height of the ball is a maximum when the discriminant is equal to zero:

19.9² - 4 · (- 4.8) · (55.3 - h) = 0

396.01 + 19.2 · (55.3 - h) = 0

19.2 · (55.3 - h) = -396.01

55.3 - h = -20.626

h = 55.3 + 20.626

h = 75.926 m

By applying the <em>quadratic</em> formula and discriminant of the <em>quadratic</em> formula, we find that the <em>maximum</em> height of the ball is equal to 75.926 meters.

To learn more on quadratic equations: brainly.com/question/17177510

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6 0
2 years ago
Ratio to percent 16:25
Tamiku [17]
<h3>Solution:</h3>

By multiplying it by 100, we can get the answer.

<h3>Given Ratio:</h3>

\huge \purple {\tt {16:25}}

<h3>Converting it into Percent, we get</h3>

\huge \pink {\tt { \frac{16}{25}  \times 100}}

\huge \red {\tt {= 16 \times 4}}

\huge \green {\tt {= 64\%}}

<h2>Answer: 64%</h2>
8 0
3 years ago
Read 2 more answers
Which problems result in a positive number?
storchak [24]
Hello,

C and D are positive
================

6 0
3 years ago
HELP PLEASE:
Anon25 [30]

Answer: Mean of the sample proportion = 74.4

Standard deviation of the samnple proportion is 5.32.

Step-by-step explanation:

Given : A random sample of 120 is taken from a population of 10000.

Let n = 120

Also, from previous survey, it is believed that 62% of the population has an Instagram account.

i.e, population proportion : p = 0.62

Now , the mean of the sample proportin would be :

\text{Mean}=\mu_{\hat{p}}=np\\\\=120\times0.62=74.4

i.e. Mean of the sample proportion = 74.4

The standard deviation of the samnple proportion would be :

\text{standard deviation}=\sigma_{\hat{p}}=\sqrt{np(1-p)}\\\\=\sqrt{120(0.62)(1-0.62)}\\\\=\sqrt{28.272}\\\\=5.31714208951\approx5.32

Thus , the standard deviation of the samnple proportion is 5.32.

8 0
3 years ago
PLS HELP I REALLY NEED HELP
lbvjy [14]

Answer:

  • a) AB = 10 units
  • b) Midpoint is (2, 6)

===================

<h3 /><h3>Given</h3>

  • Points A( - 1, 10) and B(5, 2)

<h3>To find</h3>

  • a) The length of AB
  • b) The midpoint of AB

<h3>Solution</h3>

a) Use the distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates and calculate:

d=\sqrt{(5-(-1))^2+(2-10)^2} =\sqrt{6^2+(-8)^2} =\sqrt{36+64} =\sqrt{100} =10

The distance is AB = 10 units

b) Use midpoint formula and find x and y- coordinates of this point:

x= \cfrac{x_1+x_2}{2}    and    y= \cfrac{y_1+y_2}{2}

Substitute coordinates and find the midpoint:

x= \cfrac{-1+5}{2} =2  and  y= \cfrac{10+2}{2}=6

The midpoint is (2, 6)

3 0
2 years ago
Read 2 more answers
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