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murzikaleks [220]

3 years ago

14

100 POINTS Coronavirus cases rose from 23 cases on October 3rd to 103 cases on November 3rd .What was the percent increase based

on the original number of cases in October ? Please show work

1 answer:

evablogger [386]3 years ago

8 0

Answer:

<h2><em>348% increase</em></h2>

Step-by-step explanation:

103 - 23 / 23 = 3.47826

3.48 x 100% = 348%

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prisoha [69]

Use two points from the graph to check if they are constant. In this case let’s use (0,50) & (2,58)

To find slope you have to do the following.

y2-y1 / x2-x1

Plug in the values, 58-50/2-0
This gives you 4.

When you use two other points, in this case (10,90) (20,130) you get a slope of 4.

This means the slope is 4.

We are trying to get an equation of y=mx+b.
We have slope already which is 4. So now we plug in y=4x + b

Now we need to find b. There is an equation to solve for b. Which is b=y1-m(x1)

But b is the y-intercept so there is already a B which is 50

So the table IS a linear equation and the equation is y=4x+50.

8 0

3 years ago

Give a geometric description of the following system of equations.a. 2x−4y=12 −3x+6y=−15.b. 2x−4y=12 −5x+3y=10.a. 2x−4y=12 −3x+6

Reptile [31]

Answer:

a. No solution, parallel lines.

b. One solution.

Step-by-step explanation:

Given the system of equations:

a. $2x-4y=12$

$-3x+6y=-15$

b. $2x-4y=12$

$-5x+3y=10$

To give a geometric description of the given system of equations.

The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.

i.e.

Number of planes = Number of variables

Number of lines = Number of equations in the system.

Here, we are given 2 variables and 2 equation in each system.

So, they can be represented in the xy-coordinates plane.

And the number of solutions to the system depends on the following condition.

Let the system of equations be:

$A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0$

1. One solution:

There will be one solution to the system of equations, If we have:

$\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}$

2. Infinitely Many Solutions: (Identical lines in the system)

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}= \dfrac{C_1}{C_2}$

3. No Solution:(Parallel lines)

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}$

Now, let us discuss the system of equations one by one:

a. $2x-4y=12$ OR $2x-4y-12=0$

$-3x+6y=-15$ OR $-3x+6y+15=0$

$A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -3, B_2 = 6, C_2= 15$

Here, the ratio:

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2} = -\dfrac{2}{3}\\\dfrac{C_1}{C_2} = -\dfrac{4}{5}$

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}$

Therefore, no solution i.e. parallel lines.

b. $2x-4y=12$ OR $2x-4y-12=0$

$-5x+3y=10$ OR $-5x+3y-10=0$

$A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -5, B_2 = 3, C_2 = -10$

$\dfrac{A_1}{A_2}= -\dfrac{2}{5}\\\dfrac{B_1}{B_2} = -\dfrac{4}{3}\\\dfrac{C_1}{C_2} = -\dfrac{6}{5}$

$\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}$

So, one solution.

Kindly refer to the images attached for the graphical representation of the given system of equations.

6 0

3 years ago

Suppose you discover that your growth fund, income fund, and money market fund return

Alik [6]

Answer:−3+3=−4

2+3−=15

4−3−=19

2 3

Step 1: Pair the equations to eliminate y because the y terms are already additive inverses

1

−3+3=−4

2+3−=15

2

2+3−=15

4−3−=19

2 3 4

3 =11

5

6 −2=34

Step 2: Write the two new equations

as a system

Step 3: Substitute the value for x and z

into one of the original equations

3 =11

3 5 +2=11

4

5−3+3 −2 =−4

15+2=11

5

6 −2=34

5−3−6=−4

−3−1=−4

9x

2=−4

=−2

= 45

x = 5

−3=−3

=1

The solution (5, 1, -2)

Step-by-step explanation:

3 0

3 years ago

100 POINTS FOR WHO EVER SHOWS THE WORKS AND ANSWERS CORRECTLY. LEGIT 4 QUETIONS BUT MUST SHOW WORK!!

lianna [129]

Step-by-step explanation:

Hey there!

1.》 Let the unknown angle be 'x'.

Now,

x+ 29° + 105° = 180° [ Sum of interior angle of a triangle is 180°]

x = 180° - 134°

x = 46°

Therefore the missingangle is 46°.

2.》Angle 1 = 78° + 55° [ Exterior angleis equal to the measure of adjacent interior angle]

angle 1 = 133°

Therefore the measure of angle 1 is 133°.

3.》Angle 2 + 55° + 78°= 180° [ Sum of interior angle of a triangle is 180°]

angle 2 = 180° - 133°

angle 2 = 47°

Therefore the measure of angle 2 is 47°.

4.》It's is obvious that the measure of exterior angle is equal to opposite adjacent interior angle of a triangle.

See in picture;;; for more description for no.4.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0

3 years ago

Write the quadratic equation in general form. (x - 3)^ 2 = 0

algol [13]

The answer is: x² – 6x + 9 = 0 .
_____________________________________________________
Explanation:
________________________________________________________

Given: (x – 3)² = 0 ; write as: general form: "ax² + bx + c = 0"; a ≠ 0 .
<span>
Note: </span>(x – 3)² = (x – 3)(x – 3) = x² – 3x – 3x + 9 = x² – 6x + 9 ;
___________________________________________________
Rewrite: (x – 3)² = 0 ; →
as: x² – 6x + 9 = 0 ; which is our answer.
____________________________________________
→ x² – 6x + 9 = 0 ; is in "general form", or "standard equation format"; that is: " ax² + bx + c = 0 "; (a ≠ 0) ;
→ in which:
a = 1 (implied coefficient, since anything multiplied by "1" is that same value);
b = -6;
c = 9
_______________________________________________________

5 0

3 years ago

Read 2 more answers