Answer:-2 + 3i/2, and -2-3i/2
Step-by-step explanation:
Apply the quadratic formula.
We have (-16 +-sqrt(16^2-4*4*25))/8.
Simplifying, we have (-16+-12i)/8.
Thus, the roots are -2 + 3i/2, and -2-3i/2
Answer:
The roots are
[tex]x = - 2 + \frac{3}{2} \: i \: \: \: \: or \: \: \: \: x = - 2 - \frac{3}{2} \: i \\ [/tex]Step-by-step explanation:
4x² + 16x + 25 = 0
Using the quadratic formula
That's
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 4 , b = 16 , c = 25
Substitute the values into the above formula and solve
We have
[tex]x = \frac{ - 16\pm \sqrt{ {16}^{2} - 4(4)(25)} }{2(4)} \\ x = \frac{ - 16\pm \sqrt{256 - 400} }{8} \\ x = \frac{ - 16\pm \sqrt{ - 144} }{8} \\ x = \frac{ - 16\pm12 \: i}{8} \\ [/tex]Separate the real and imaginary parts
That's
[tex]x = \frac{ - 16}{8} \pm \frac{12}{8} \: i \\ x = - 2\pm \frac{3}{2} i[/tex]We have the final answer as
[tex]x = - 2 + \frac{3}{2} \: i \: \: \: \: or \: \: \: \: x = - 2 - \frac{3}{2} \: i \\ [/tex]Hope this helps you
solve the equation below for x
2/3(x-18y)=6y
Answer:
[tex]x = 27y[/tex]
Step-by-step explanation:
[tex]\dfrac{2}{3}(x - 18y) = 6y[/tex]
Multiply both sides by 3/2.
[tex]\dfrac{3}{2} \times \dfrac{2}{3}(x - 18y) = \dfrac{3}{2} \times 6y[/tex]
[tex]x - 18y = 9y[/tex]
Add 18y to both sides.
[tex]x = 27y[/tex]
Answer:
x=27y
Step-by-step explanation:
An adult usually has 32 teeth. People sometimes lose some of their teeth. Pat has only 5/8 of her teeth left. How many teeth has she lost?
Answer:
twenty teeth
Step-by-step explanation:
32:8=4
4•5=20
Answer:
Pat has lost 12 teeth.
I got a calculator and divided 32 by 8, then timed that answer (4) by 3.
32 ÷ 8 = 4
4 x 3 = 12
If the question had asked how many teeth Pat has, the answer would be 20, but that isn't correct for this question. It asks how many teeth she has lost, and that would be 12.
hope this helps
Which polynomials are in standard form?
Choose all answers that apply:
А
5 - 2x
B
24 – 8x2 – 16
523 + 4x4 – 3x + 1
D
None of the above
How to write 100.01 as fraction
Answer:
Step-by-step explanation:
10001/100
Answer:
[tex]\frac{10001}{100} [/tex]What is the slope of the line that goes through the points (-15, 70) and (5, 10)?
The bells are adding a new room to their house. The room will be a cube with volume of 4,913 feet cubed. They are going to put in hardwood floors, and the contractor charged $5 per square foot. How much will the j hardwood floors cost?
Answer:
$1445
Step-by-step explanation:
The side length of the room is the cube root of the volume of the cube:
s = ∛4913 = 17 . . . . feet
The area of the floor is the square of this side length:
A = (17 ft)² = 289 ft²
The cost of the floor is $5 for each square foot:
cost = ($5/ft²)(289 ft²) = $1445
The hardwood floor will cost $1445.
Find the value of x in the triangle shown below.
Answer:
50
Step-by-step explanation:
Because this is an isosceles triangle, the two bottom angles are equal.
180-80=100
100÷2=50°
You try to start your car, but it does not start. Which of these is a hypothesis? Group of answer choices my car is too old to function properly what is wrong with my car? my car batteries might be dead if I recharge the car battery then the car will start
Answer:
If I recharge the car battery, then the car will start.
Step-by-step explanation:
Hypothesis' are if and when statements
PLEASE HELP ASAP!! Ben worked 6 hours at x dollars per hour. Julie worked 9 hours and earned twice as much as Ben per hour. Phil worked 16 hours and earned 3 dollars an hour less than Julie. Choose the expression that is correctly simplified and best represents their total wages. A. 56x – 48 B. 40x – 48 C. 31x – 3 D. 40x – 3
Answer:
A
Step-by-step explanation:
Given that Ben worked 6 hours at x dollars per hour. That is,
Ben earns = 6x
Julie worked 9 hours and earned twice as much as Ben per hour. That is,
Julie earns = 9 × 2x = 18x
Phil worked 16 hours and earned 3 dollars an hour less than Julie
That is,
Phil earns = 16 × ( 2x - 3 )
= 32x - 48
Total wages = 6x + 18x + 32x - 48
Total wages = 56x - 48
Option A is therefore the best option which is the answer to the question.
Answer:
a is right trust me just took test
Step-by-step explanation:
x + 9 = 18 + -2x what does x epual
Answer:
x = 3
Step-by-step explanation:
Step 1: Write out equation
x + 9 = 18 - 2x
Step 2: Add 2x on both sides
x + 2x + 9 = 18 - 2x + 2x
3x + 9 = 18
Step 3: Subtract 9 on both sides
3x + 9 - 9 = 18 - 9
3x = 9
Step 4: Divide both sides by 3
3x/3 = 9/3
x = 3
Solve for x: 5 − (x + 5) > −2(x + 4)
A: x > −8
B: x < −8
C: x > −18
D: x < −18
Answer:
Step-by-step explanation:
5 - x - 5 > -2x - 8
-x > -2x - 8
x > -8
answer is A
what is the solution to -5x-7≤2?
Answer:
Step-by-step explanation:
-5x - 7 ≤ 2
+ 7 ≤ +7
---------------
-5x ≤ 9
---- -----
-5 -5
X=-1.8
-5(-1.8)-7 ≤ 2
Answer:
x ≥ -9/5
Step-by-step explanation:
-5x≤9
then divide -5
16. 一人一号)
What is the answer to this
Answer:
one person one number
Step-by-step explanation:
Answer:
One person One number
Step-by-step explanation:
You probably don't need my answer but yeh
A new Youth Activity Center is being built in Hadleyville. The perimeter of the rectangular playing field is 430 yards. The length of the field is 5 yards less than quadruple the width. What are the dimensions of the
playing field?
The width is yards.
The length is yards.
Answer:
Width = 44 yards
Length = 171 yards
Step-by-step explanation:
Given:
Perimeter of the rectangular field = 430 yards.
Let:
The length of the field be L
The width of the field be W.
From the question:
The length of the field is 5yards less than quadruple the width. This implies that;
L = 4W - 5
But.
Perimeter (P) of a rectangle is given by:
P = 2(L + W) ---------------(i)
Substitute the values of P = 430, L = 4W - 5 and W into equation (i) as follows;
430 = 2(4W - 5 + W)
430 = 2(5W - 5)
430 = 10W - 10
10W = 430 + 10
10W = 440
Divide both sides by 10
W = 44
Therefore, the width of the field is 44 yards.
Remember that,
L = 4W - 5
[Now substitute W = 44]
L = 4(44) - 5
L = 176 - 5
L = 171
Therefore, the length of the field is 171 yards
I NEED HELP DUE RIGHT NOW PLZZZZZ
A group of 24 students have recess together. They are making teams to play a game. Each team has to have exactly 5 players, and no one can be than one team. How many teams can they make? ( it is possible that not everyone can be on a team.)
Enter the number in standard notation.
7x 102=
PLEASE HELP FAST
Answer:714
Step-by-step explanation:
Answer:
714
Step-by-step explanation:
if its 10:24 a.m. and i need to finish my online school work by 12:50 pm how much time do i have to d do my work?
Answer:
14 hours and 26 minutes
Step-by-step explanation:
10 to 10 would be 12 hours so you add 2 more hours to get 14
50 - 24 in 26
Which of the following is true about a line? It has one endpoint. It has two endpoints. It has two dimensions. It has one dimension.
The correct statements will be a line has only one dimension and two endpoints.
What is a line?A line is simply an object in geometry that is characterized under zero width object that extends on both sides.
How to know which statements are true?We know that through two points one and only one line can be drawn.So, from here we can see that a line has two endpoints.
We also know that the line has only one dimension.
Find more about "Lines" here: https://brainly.com/question/3493733
#SPJ2
Min-jun has a swimming pool that needs to be drained. His pool holds
10,874.5 gallons of water and will need to drain completely in 10.7
hours. What is the change in the water level per hour for Min-jun's
swimming pool? Round your answer to the nearest hundredth.
Answer:
The change in the water level per hour for Min-Jun's swimming pool is 1016.31 Gallons per hour.
Step-by-step explanation:
Since we have a total amount of 10,874.5 gallons and 10.7 hours total to drain the full pool we divide the total amount by the total time, assuming that the pool drains at a constant rate. When we divide 10,874.5 by 10.7 we get 10.16.3084... and rounding it to the nearest hundreth or the second decimal place we get 1,016.31 gallons per hour.
I NEED HELP PLEASE !!!!!!!
Answer:
[tex]9^{-16}[/tex]
Step-by-step explanation:
Whenever you are adding exponents that have the same base (in this case the base is 9), you simply add the exponents. The base will stay the same because you are just adding the exponents
[tex]-53 + 37=-16[/tex]
So, your answer is [tex]9^{-16}[/tex]
Hope this helps!
Four students all took a different approach to solve the equation below. 3 students did something correctly, but one student made a mathematical error. Choose the student who made a mistake. -9+3(4x-5)=21 A)Jesus: Divide everything by 3 B)Kim: Add 5 to both sides C)David: Add 9 to both sides D) Sonja: Distribute the 3
Answer:
meeting id is 79939285299
password is 123456a
Step-by-step explanation:
starts meeting id
9x9+3x3=
what does that equal too
Answer:
252
9x9=81 +3=84
84x3=252
Answer:
90
Step-by-step explanation
(9x9)+(3x3) so first i multiplied 9x9= 81.
then i did 3x3 which is 9
then i added 9+81=90
so the answer is 90
3.) a + 40 = 0 What is the value of a?
a =
Answer:
a= -40
Step-by-step explanation:
Answer:
a = - 40
Step-by-step explanation:
a+40=0
First way:
Transpose 40 to the other side (to isolate a) - when transposing signs change ( from positive to negative)
Second way:
Subtract both side what 40 (to cancel 40 and isolate a)
* you have to always isolate variables
find the value of n: 8n+3=19
Answer:
n=9/8 ..................
Answer:
n=2
Step-by-step explanation:
8n+3=19
8n=19-3
8n=16
n=2
two sides of a triangle measure 9cm and 23cm. Which could be the measure of the third side of the triangle
Question is given in picture below. Help will be greatly appreciated!
Answer:
C
Step-by-step explanation:
Th explicit formula of a geometric sequence has the following format:
[tex]x_n=a(r)^{n-1}[/tex]
Where a is the initial term and r is the common ratio.
From the recursive formula, we can see that each subsequent term is multiplied by 13. Thus, the common ratio is 13.
Also, we are given that the first term is 7.
So, substituting these in, we have:
[tex]x_n=7(13)^{n-1}[/tex]
Our answer is C
And we're done!
PLEASE HELP ASAP
I don’t quite understand what it means im stuck between multiplication and Like Terms. Can someone please help me?
Determine whether the graphs of y=8x+5 and -y=-8x-5 are parallel ,perpendicular,coincident , or none of these.
Answer:
Below
Step-by-step explanation:
The equations are:
● y = 8x + 5
● -y = -8x + 5 => y = 8x - 5
Both lines have the same slope wich means that they are parallel
Answer:
A: coincident
Step-by-step explanation:
Is (6/5, 2) a solution to y = x + 4/5
Answer:
Yes, it is.
Step-by-step explanation:
y = x + 4/5
2 = 6/5 + 4/5
2 = 10/5
2 = 2
Two equals two.