Answer:
x = -3 + i√6 and x = -3 - i√6
Step-by-step explanation:
Let's apply the "completing the square" method to find the roots of this equation.
Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x. Then subtract the same quantity:
x^2 + 6x + 15 becomes
x^2 + 6x + 3^2 - 3^2 + 15 = 0
Rewriting the first three terms as the square of a binomial, we ge:
(x + 3)^2 - 9 + 15 = 0, which simplifies to:
(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6
Taking the square root of both sides:
x + 3 = ±i√6
Then the two roots are complex:
x = -3 + i√6 and x = -3 - i√6
Can someone help with this please?
Given:
The table represents a linear function.
To find:
The y-intercept, slope and equation of linear function.
Solution:
Consider any two points from the given table, i.e., (0,-5) and (1,-1).
Equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-5)=\dfrac{-1-(-5)}{1-0}(x-0)[/tex]
[tex]y+5=\dfrac{-1+5}{1}(x)[/tex]
[tex]y+5=4x[/tex]
Subtracting 5 from both sides, we get
[tex]y=4x-5[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], where, m is slope and y-intercept is b, we get
[tex]m=4,=-5[/tex]
Therefore, y-intercept is -5, slope is 4 and equation is [tex]y=4x-5[/tex].
2.3 times 4.7 how to do it show anwser
Answer:
10.81
Step-by-step explanation:
See the picture to help u
please help me solve
Answer:
CD
Step-by-step explanation:
Answer:
3rd one
Step-by-step explanation:
Are these triangles congruent ?
And what is the theorem ?
I will give a brainlist for the correct answer :)
Answer:
Step-by-step explanation:
The two marked sides are congruent.
The angle that is marked is congruent to the other angle opposite it.
The line in the middle is equal to itself.
You have an angle between to equal sides.
The triangles are congruent by SAS
simplify:(-7/10)-2/5=
Answer:
-11/10
-1.1
Step-by-step explanation:
Answer: 7/25
I hope this helps, and Happy Holidays! :)
PLZ HELP WILL GIVE BRAINLIEST
Answer:
it is B trust me I know what im doing
Answer:
-16x - 10
Step-by-step explanation:
-8x - 2(5+4x)
Multiply -2 by the numbers within the parenthesis:
-8x - 10 - 4x
Combine like terms:
-16x - 10
an isosceles right triangle is inscribed in a circle. the hypotenuse of the triangle is the diameter of the circle. write a function f in terms of x that represents the area of the shaded region. leave your answer in terms of pi
A copy machine makes 24 copies per minute. How long does it take to make 138 copies?
If a car can travel 420 miles on 12 gallons of gas. How many miles can it travel with 6, 3 and 0 gallons of gas?
Answer:
6 gallons=210 miles
3 gallons=105 miles
0 gallons=0 miles
Step-by-step explanation:
You-pick blueberry farm offers 6 lbs of blueberries for $16.50.
Sketch a graph of the relationship between cost and pounds of blueberries.
I need help with this please.
Answer:
CCCC.
Step-by-step explanation:
Pablo rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 82 cents for each
mile driven. Pablo had to pay $131.93 when he returned the truck. For how many miles did he drive the truck?
miles
Please answer i need help
PLEASE HELP ME FAST!!!
The ratio of boys to girls who play kickball at recess is 6 to 2. There are 18 girls on the team. What is the number of boys who play kickball at recess?
A. 108
B. 54
C. 6
D. 36
Answer:
B
Step-by-step explanation:
6:2
2x9=18
6x9=54
54 boys to 18 girls
The number of boys who play kickball during breaktime is 54.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that, the ratio of boys to girls who play kickball during breaktime is 6 to 2, there are 18 girls on the team,
Let the number of boys be 6x and that of girls be 2x
Therefore, 2x = 18
x = 9
6x = 6*9 = 54
Hence, The number of boys who play kickball during breaktime is 54.
For more references on Ratio, click;
https://brainly.com/question/13419413
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b) Chill Pill Pharmaceuticals is expecting a growth rate of 14% for the next two years due to its new drug. Thereafter it should level to an 8% growth rate. The last dividend paid was $0.65 per share. What price should the stock sell for if investors require 12% return?
Answer:
0.20
Step-by-step explanation:
I need help...........
3 pounds of bannas cost $1.5 What is the costant of this proportionly that relates the cost in dollars y,to the number of pounds of bannas X
Answer:
.50 cents per pound
Step-by-step explanation:
1. Donnie makes flash cards for the vocabulary in the chapter on ocean currents. For Coriolis effect, he writes the following definition:the curving of the path of a moving object from a straight pathWhat important information did Donnie forget in his definition?A.due to windB.due to Earth’s rotationC.due to the sun’s energyD.due to continental deflection
Answer:
like ur pfp, free points ty
Step-by-step explanation:
Best Answer gets BRAINLIEST!!!
Answer:
3.5/1
Step-by-step explanation:
so 3.5
Here is a balanced hanger diagram:
A circle has a mass of 3 grams and a square has a mass of 2 grams.
Which is the mass of a triangle?
a. 9/5 grams
b. 715 grams
c. 3 grams
d. 11 grams
Answer:
D
Step-by-step explanation:
11 grams because the the most logical.
Option C. 3 grams is the answer.
Mass given,
One circle = 3 gramsOne square = 2 gramsFor the balanced hanger diagram,
Mass on left arm = Mass on right armMass on left arm = 2.(one triangle) + 6.(one square) + 3.(one circle)
Mass on right arm = 5.(one triangle) + 3.(one square) + 2.(one circle)
Equation for the balanced hanger,
2.(one triangle) + 6.(one square) + 3.(one circle) = 5.(one triangle) + 3.(one square) + 2.(one circle)
Now solve this equation,
(6 - 3).(one square) + (3 - 2).(one circle) = (5 - 2).(one triangle)
3.(one square) + 1.(one circle) = 3.(one triangle)
3.(2) + 1.(3) = 3.(one triangle)
6 + 3 = 3.(one triangle)
One triangle = 3 grams
Therefore, Option (C) will be the correct option.
Learn more,
https://brainly.com/question/15558745
b) 7p + 6q- 2p + q = ?
[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]
Answer:
5p+7q is the answer
Step-by-step explanation:
There are 4 birds and 6 snakes. What is the ratio of birds to snacks?
Answer:
2:3
Step-by-step explanation
To get this you find the greatest common denominator (2) and divide both numbers by it. 4 divided by 2 is 2 and 6 divided by 2 is 3.
. Naty bought a dress for $24.95 and a skirt for $14.95. The sales clerk said the total cost including 9.5% sales tax was 49.40. Below are the steps the clerk completed.
Step 1: 24.95 + 14.95 = 39.90 Step 2: 39.90 + 9.5 = 49.40
Are the clerk's steps correct? If she is incorrect, identify her mistake and explain her error. Explain in writing how to accurately calculate the sales tax, total cost, and state the correct total. ( Round final answer to the nearest hundredth)
Answer:
39.995=40.00
Step-by-step explanation:
0.095 is tax he just added 9.5 he is not correct
Scott has a bag with 144 pieces of candy in it. He gives his sister 25% of the candy. How many pieces of candy does Scott give his sister?
Answer:
Step-by-step explanation:
Scott has 144 pieces of candy
25% is one 4th
144/4=36
he gives to his sister 36
Answer:
Scott gives his sister 36 peices of candy
Step-by-step explanation:
Express the area of the entire rectangle
Answer:
21x^4+56x^3+49x^2
Step-by-step explanation:
You need to multiply 7x^2 to each side (aka 7x^2*3x^2) and once you have each multiple you will add them all together. <3
HELP ME PLS BRAINLIST QUICK
Answer:
its the second choice
Step-by-step explanation:
because they need to be opposite plus minis things
Can someone please solve this I don’t understand on this problem, thanks.
Answer:
a) 5:6
b) 11:20
c) 5:9
Step-by-step explanation:
Paul spent $48.00 on three tickets to a concert. Janis spent $90.00 on five tickets to the same concert. How much did each ticket cost for the cheaper individual ticket?
Answer:
Paul's tickets costed 16 dollars each
while
Janis' s tickets costed 18 dollars each
Answer:
$16
Step-by-step explanation:
48 divided by 3 is 16. 90 divided by 5 is 18. Paul is getting the better deal. Each ticket is $2 less.
1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422
PLZ HELP PLZ HELP PLZ HELP PLZ HELP PLZ HELPPLZ HELP
Answer:
$22,100
Step-by-step explanation:
20 x 25 = 500
10 x 18 = 180
500 + 180 = 680
680 x 32.50 = 22,100
plz give me brainliest and hope this helps