Mathematics College

Unit 4 Solving Quadratic equations {and complex number}

Answers

Answer 1
1.) a=5, b=9, c=-4
2.) C
3.) No solution
4.) x=-2, x=1.25
5.) x=-9, x=3
6.) quadratic formula
7.) 2
8.) 11cm by 16cm

Related Questions

The variables x and y are directly
related. When x=15, y = 6. What is the
value of x when y = -4?

Answers

Answer: When y = -4, x = -10.

Explanation:
The equation for direct variation is y = kx^n, where k is the constant of variation. n is the exponent above the x value, but since this problem doesn’t involve exponents greater than one, we can ignore it.

First, find k.
y = kx
6 = k*15
k = 6/15 or 2/5

Now, we can solve for any x or y input. Let’s find x when y = -4.
y = kx
-4 = 2/5 * x
(to cancel out the fraction, multiply each side of the equation by its reciprocal, 5/2)
x = -4 * 5/2
x = -20/2
x = -10

Distributive property to remove parentheses 4(3+w)

Answers

Answer:

12+4w

Step-by-step explanation:

Multiply 4 by both sides

Help help help math math

Answers

Answer:

Yes, it is a function

Step-by-step explanation:

A function is determined if each input, or x-value has 1 unique output, or y value. No x-value has more than 1 output here, so it is a function

The owner of a local shop made a list of how much she pays her employees by the hour.




Which measure of central tendency would the store owner use if she wanted to argue that the employees are paid well?

A. the mean
B. the median
C. the mode
D. the range
GIVING BRAINLIST

Answers

Answer: The answer is D

Step-by-step explanation:

I took the quiz

- Draw A' the symmetric of A with respect to point O

- Draw A' the symmetric of A with respect to (d) ​

Answers

Answer:

how am i supposed to answer this? draw a line lol

Step-by-step explanation:

Find x, y

Please try to explain how you did it

Answers

I believe this is scale factor? SF=new/old. 10/8= a scale factor of 1.25 (the image gets 1.25x bigger). To find x, multiply 5 by 1.25 and subtract the original length of 5 (you subtract this length because x is only the value of the new part of the triangle). X=6.25-5, X=1.25. Try to find y yourself using this scale factor. (Brainliest would be appreciated)

6:4 is equivalentto blank:24

Answers

24/4=6 so we must do 6x6=36. The final answer is 36:24

in 2011 i sold 105276 tickets.
This is 7% less then the number of tickets i sold in 2018.

How many tickets i sell in 2018?

And

Show a check of your answer.

Answers

Answer:

sorry I don't know the answer of this

A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 200 bacteria that grow at a rate of 2% per hour. He will check on the bacteria every 7 hours. How many bacteria will he find in 7 hours? Round your answer to the nearest whole number.

Answers

The population of the bacteria after 7 hours is 230 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 200 bacteria, hence

a = 200

The bacteria grow at a rate of 2% per hour, hence:

b = 100% + 2% = 1.02

The exponential equation becomes:

y = 200(1.02)ˣ

After 7 hours:

y = 200(1.02)⁷ = 230

The population of the bacteria after 7 hours is 230 bacteria.

Find out more at: https://brainly.com/question/12490064

Pls help I’ll brainlest ASAP

Answers

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
2 / 3 = 0.7 i think

florida sales tax is 7%. How much money comes out of your pocket if u buy something for $100

Answers

Answer:

$7

Step-by-step explanation:

If you use "Is over of" the equation will be ?/100*7/100, therefore after simplifying your answer is $7

Brainliest would be appreciated! :-)

The answer you are looking for the Florida tax for $100 is 7$

41% of what number is 77

Answers

Answer: 31.57

Step-by-step explanation:

41% of 77 is what?

41% of 77 is Y

Equation: P% * X = Y

Solving our equation for Y

Y = P% * X

Y = 41% * 77

Converting percent to decimal:

p = 41%/100 = 0.41

Y = 0.41 * 77

Y = 31.57

Does a quadratic polynomial have a degree of to

Answers

Answer:

Idioet duh it does.

Step-by-step explanation:

Help fast !!! I have like 5 minutes left

Answers

Answer:

y-intercept = (0,3)

Step-by-step explanation:

solving for G

goal is to isolate the variable by undoing in the reverse of the order of operation.

4=2(3g+2)

Answers

Answer:

g = 0

Step-by-step explanation:

4 = 2(3g + 2) ← divide both sides by 2

2 = 3g + 2 ( subtract 2 from both sides )

0 = 3g , then

g = 0

What is log Subscript 5 Baseline (4 times 7) + log Subscript 5 Baseline 2 written as a single log?

Answers

log5(4*7)+log5(2)=log5(28)+log5(2)=log5(56)

Answer:

Its D

Step-by-step explanation:

just took the test

I need help on this question

Answers

Answer:

Go download CameraMath on playstore

a. Morning rain showers dropped 1/3 of an inch of rain. Later that day, another storm passed through and dropped 1/8 inch of rain. How much more rain fell in the morning than in the afternoon?

Answers

Answer: 5in

Step-by-step explanation:

1/3x8/8=8/24

1/8x3/3=3/24

8-3=5

Justin is buying tickets to a concert online from Ticketmaster. He buys 3 tickets that all have the same price.
There is also a service charge, since he is buying it from Ticketmaster, for $5 per ticket. The total cost of his
order was $138.

Answers

Answer:

I don't know if your asking for the price for each ticket, but if you are, it's $41 each.

Step-by-step explanation:

5 x 3 = 15(price of the service charge)

138 - 15 = 123(price with out service tax)

123/3 = 41

Hope this was helpful

Marcus sleeps 60 hours a week this is 5 times as many hours as he plays chess. How many hours a week does Marcus play chess?

Answers

Answer: 12 hours a week

Step-by-step explanation:

60/5 = 12

Since he plays chess 5 times the amount of time he sleeps, simply divide the amount of time he sleeps by 5.

Correct me if I am incorrect.

3a+5=20 steps on paper

Answers

Answer:

5

Step-by-step explanation:

3a+5=20 -5

3a=15 /3

a=5

MODELING REAL LIFE A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet, where x is the number of charms.

a. Graph the equation.

b. How much does a bracelet with three charms cost?

Answers

Answer:

B = $140

Step-by-step explanation:

for part A, the graph is linear line with a Y intercept at (0,65) so this means that if you were to have no charms it would cost 65 dollars, since the y axis represents cost. then for every 1 increment on the x axis (number of charms) the Y value increases by 25 so the slope is [tex]\frac{25}{1}[/tex]

we also can conclude that there is no negative domain since you cannot have negative charms, and the range begins at 65 since you cannot get a bracelet for less money

for part B, y=25x+65

so for three charms, x is represented as 3 so y=25(3) +65 which is 75+65=y= $140

Help me solve this please

Answers

Answer:

2/5-1/10 = 3/10

1/5+7/10 = 9/10

Step-by-step explanation:

4/10-1/10 = 3/10

2/10+7/10 = 9/10

Please help me understand how I would pick the correct formula for step 1 for the question in the image? I am really confused.

Answers

Answer:

The first option

Step-by-step explanation:

We are doing height above shadow height. Since the telephone poll is 40 feet high with a 32 feet shadow, it is 40/32. We know the sign casts a 12 1/2 shadow, so this will be our denominator. h is our unknown, so we will have h / 12 and a half as our second fraction for our ratio.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

What is the slope of this line?


a.−23

b.−13

c.13

d.23

Answers

Answer:

D

Step-by-step explanation:

I think you meant to put the answers as a fraction

Answer:

if there were slashes in between every answer, the answer would be

D. 2/3

Step-by-step explanation:

m = y2-y1 / x2-x1  (slope formula)   ⋅the two points i used were: (0,-3) and (3,-1)

m = -1-(-3) / 3-0 (plug in the points)

m = -1+3 / 3-0

m = 2/3 (Simplify to get your answer)

7 x [(7 + 7) = 7
Help plz

Answers

Answer:

[tex] \frac{1}{14} [/tex]

Step-by-step explanation:

7 x (7+7)=7

7x [(14)]=7

x=

[tex] x = \frac{1}{14} [/tex]

A fair coin is tossed (heads or tails) 9 times. What is the probability that the coin will land “heads” exactly 3 out of the 9 times?

Answers

Answer:

Step-by-step explanation:

The total number of tosses is 9

The number of successes is 3

P(heads 3 times ) = 3/9

P(heads 3 times) = 1/3

The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.

Answers

Step-by-step explanation:

the formula for the sum of the first n terms of a geometric sequence is

Sn = s1(1 - r^n)/(1 - r)

with r being the common ratio and s1 is the first term.

so,

S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =

= 7×14,348,908/4 = 7×3,587,227 = 25,110,589

11)
Given the function, f(x) = x2 + 5x - 3 evaluate f(-2).

Answers

Answer:

f(- 2) = - 9

Step-by-step explanation:

Substitute x = - 2 into f(x) , that is

f(- 2) = (- 2)² + 5(- 2) - 3 = 4 - 10 - 3 = 4 - 13 = - 9

Solve.

Write an expression for the total cost (in dollars) of Sam's purchase if he buys x candies costing 39 cents each and y bars of chocolate cost $1.25 each.


a. (0.39 + x) ∙ (1.25 + y)

b. 0.39x + 1.25y

c. 1.64(x + y)

d. 39x + 1.25y

Answers

Answer:

the answer to the question is c

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