Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 + 5x + 6
** Remember y = 0 **
Real
o Complex
1
Answers
Answer:
[tex] x = -2 [/tex] or [tex] x= -3 [/tex]
The solution is real.
Step-by-step explanation:
x^2 + 5x + 6 = 0
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{5^2 - 4(1)(6)}}{2(1)} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{25 - 24}}{2} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{1}}{2} [/tex]
[tex] x = \dfrac{-4}{2} [/tex] or [tex] x = \dfrac{-6}{2} [/tex]
[tex] x = -2 [/tex] or [tex] x= -3 [/tex]
The solution is real.
Related Questions
What is the median of this data set 15, 33,51,51,75
Answers
Answer:
51
Step-by-step explanation:
1. The median of a data set is the middle number within the data points.
2. As you can see, when you cross out each number from left to right then left to right again, you end up with 51 standing by itself. Therefore, the median is 51.
The thermostat for a house is set to 70°F, but the actual temperature may vary by as much as 4°F. Use an
absolute value inequality to find the range of possible temperatures in the house.
The range of possible temperatures in the house (in degrees Fahrenheit)
Answers
Answer:
Step-by-step explanation:
74’F
Answer:
The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F
Step-by-step explanation:
To Find:
The range of possible temperatures in the house
Solution:
Given:
Thermostat is set to 70 °
Also actual temperature may by a much of 4°
If the temperature is 4°F lower, and actual temperature = 70°- 4° = 66° F
If the temperature is 4°F higher, actual temperature = 70°+4° = 74°
Therefore, The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F
I'm not sure how I can find my answer, any help?
Answers
Answer:
The next number would be 3
Step-by-step explanation:
As you can see its a repeating pattern of "1739"
Answer:
3
Step-by-step explanation:
1 7 3 9 1 7 3 9 1 7 3 9 1 7 3 9 ...
An engine runs for 5.8 hours. How many seconds did it run?
Answers
Answer: 20880 seconds.
Step-by-step explanation:
Box method sixty three
times thirty nine
Answers
Answer:
6237
Step-by step explanation
60 x 30 = 1800
30x3=90
9x60=540
9x3=27
1800+90+540+27=6237
Sorry I ain’t know why it look like that buh can someone help asap
Answers
Answer:
[tex]for \: \: dmain \: of \: {f}^{ - } \: \: is \: equal \: f \: range \\ y = \sqrt{x } - 5 \\y \: range \: is \: y \geqslant - 5\\ y + 5 = \sqrt{x} \\ x = {(y + 5)}^{2} \\ {f}^{ - 1} = {(x + 5)}^{2} \\ \\ dmain \: of \: \: {f}^{ - 1} \: x \geqslant - 5[/tex]
If you continue operating the tractor at its current level, how man
fertilize in the next hour?
A. 5.96 acres
B. 11.92 acres
C. 12.92 acres
D. 19.87 acres
Answers
Answer:
D. 19.87 acres
Step-by-step explanation:
do not put heart if wrong and put heart if correct
solve pls brainliest
Answers
Answer:
x = 6.4
Step-by-step explanation:
Step 1: Divide both sides by 4.
[tex]\frac{4x}{4}=\frac{25.6}{4}[/tex] [tex]x = 6.4[/tex]Step 2: Check if solution is correct.
[tex]4(6.4)=25.6[/tex] [tex]25.6=25.6[/tex]Therefore, x = 6.4.
Answer:
4x = 25.6
4x = 256 / 10
x = 256 / (10×4)
x = 64 / 10 (256 ÷ 4 = 64)
x = 6.4
so, answer is 6.4 .
Step-by-step explanation:
brainliest plz
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answers
Answer:
The first choice
Step-by-step explanation:
h=-3
hope it helps
[tex]5h - 2 = 3h + 4 \\ = > 5h - 3h = 4 + 2 \\ = > 2h = 6 \\ = > h = \frac{6}{2} \\ = > h = 3[/tex]
Answer:Option d. 3
Is this sequence arithmetic? (Hint: determine if there is a common difference)
7, 18, 29, 40
A) yes
B) no
Answers
18-7=11
29-18=11 ……
Please mark brainelist
what equation is perpendicular to the equation 4y=x-36
Answers
Answer:
y=6 and x=9
Step-by-step explanation:
Ur dad left you IMAO go look for your dad
what is the slope of a line parallel to the line on the graph?
Answers
Answer:
3/4
Step-by-step explanation:
To find the slope of a line parallel to this line, we first need to find the slope of this line. Using rise/run, you get that the slope is 6/8 which simplifies to 3/4.
The slope of any two parallel lines always is the same so the slope of a line parallel to the one given would be 3/4.
a) The simplest form of 20
100
is _____________.
b) The mixed fraction of 80
9
is _____________.
c) When we convert 13 5
7
to an improper fraction, we get __________.
d) In a basket of 27 mangoes, 6 are rotten. This statement can be written as a fraction
as (give the answer in the simplest form) ___________.
Answers
103.468 round this to the nearest liter
Answers
Answer:
103
Step-by-step explanation:
So the .4 in the tenths place is less than 5 it is rounded down/stays the same so its 103
Hope this helps!!
Have a nice day! :D
A farmer has 1804 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is required along the river, find the dimensions of the fenced
area that will maximize the area. What is the maximum area?
What is the length of the fenced area?
Answers
Answer:
length: 601 1/3 area: 361601 7/9
Step-by-step explanation:
the maximum area would be a square, and we only need 3 sides, so we can divide the amount of fencing by 3
1804/3=601 1/3
the length is 601.(3)
square to find the area
(1804/3)^2
361601 7/9
area is 361601 7/9
The angles of a triangle are A, B and C.
Angle A is three times as big as angle B.
Angle B is half the size of angle C.
What is the size of angle A?
Answers
Answer:
∠A = 90°
Step-by-step explanation:
∠A = 3∠B
∠B = 1/2 × (∠C), this can also be written as ∠C = 2∠B
∠A + ∠B + ∠C = 180, because there are 180° inside a triangle
Write angle A, B and C in terms of angle B:
3 ∠B + ∠B + 2 ∠B = 180
Simplify:
6 ∠B = 180
∠B = 180 ÷ 6 = 30°
Work out angle A:
∠A = 3∠B = 3 × 30°
∠A = 90°
thanks for the answer
Answers
Answer:
there's no questions haha, ty sa points
Answer:can you plz give us the question
Step-by-step explanation:
plz mark brainliest i need 5 of them
Which of these provides the best evidence that an environmental change has occurred?
Answers
Answer:
after a dry periods lasting many years only a few individuals of a tree population survive and then produce drought tolerant offspring.
Step-by-step explanation:
HELP!!!!! Someone answer ASAP PLEASE!!!!
Answers
Answer:
thay are independent
Step-by-step explanation:
I only know that they are independent but Don't really know how to explain and do step by step.
Answer:
a, =to 13 and B, is to 45 and C,13 D, 14 of tells
If a square has a perimeter of 36cm how long is each side of the square
Answers
Answer:
9 cm
Step-by-step explanation:
→ Remember how many sides a square has
4
→ Divide it by the perimeter
36 ÷ 4 = 9
Step-by-step explanation:
you know what a square is ?
it is a closed shape with 4 sides.
all 4 sides are equally long.
all 4 inner angle are 90 degrees.
you know what a perimeter is ?
it is the circumference, the whole way one time around the shape, around the outline of a given structure.
if you don't know the terms, for heaven's sake, please ask your teacher, your friends, your parents or us here directly.
don't wait. don't be afraid or ashamed.
because this here is an extremely simple problem to solve, once you understand the words used.
so, as per the explanations, the perimeter of a square is the sum of the lengths of all sides. and because all sides are equally long, this means the perimeter is simply 4 times the length of one side.
36 = 4×side
side = 36/4 = 9cm
so, each side of the square is 9cm long.
What is the equation of this line? A) y=-2x B)y=-1/2x C)y=2x D)y=1/2x
Answers
Answer:
y = -1/2 x
Step-by-step explanation:
Option B is the correct answer.
The larger trapezoid is dilated form the
smaller trapezoid
Answers
Answer:
are there any equations for this possibly? and if not it is just a smaller scale version of the dilated trapezoid.
solve pls brainliest
Answers
Answer: A= 304 feet B=1460
Step-by-step explanation:
x(x+6)=-8 quadratic equation
Answers
Answer:
x=-2 or x=-6
Step-by-step explanation:
x^2+6x+8=0
(x+2) (x+6)=0
x=-2 or x=-6
Please help me fast thank you for your help I’ll give 50 points
Answers
Answer:
C
Step-by-step explanation:
Answer:
It's option 3
Step-by-step explanation:
Water expands when it freezes. Ice is less dense than water so it floats.If the increase in volume is 4% what volume of water will make an iceberg of 12 700000 m^3?
Answers
Answer:
Volume of water would be 12,200,000 m^3
Step-by-step explanation:
hope that helps :D
Heyyyyyyyy help meeeeeee fix
Answers
Answer:
A) Volume of prism: 4 * 8 * 9 = 288 cubic units
B) Area of shaded base: 4 * 8 = 32 squared units
Volume of prism: 32 * 9 = 288 cubic units
Step-by-step explanation:
The volume of a prism can be calculated by multiplying its length, width, and height. The length of the prism is 8, the width is 4, and the height is 9. Thus, we get 8*4*9 = 288 cubic units. (cubic units because we are dealing with volume)
The area of the shaded base can be found by multiplying its length by its width. The length is 8 and the width is 4. Thus, 4*8 = 32 squared units (squared because we are dealing with area)
The volume of the prism using the area of the shaded base can be calculated by multiplying the area of the shaded base by the height, this is because the area of the shaded base is already the length * width and thus we only need to multiply by the height which is 9. Therefore we get 32 (area of shaded region) * 9 (height) = 288 cubic units.
HELP LAST ATTEMPT ??!!
Answers
Answer:
x=26
Step-by-step explanation:
x+11+2x+1+90=180 [Angles in a straight line]
3x=180-102
x=78/3
x=26
or,
x+11+2x+1=90 [Complementary angles]
3x=90-12
x=78/3
x=26
Solve the equation for X x - 5 = 12
Answers
Answer:
X= 17
Step-by-step explanation:17-5 = 12 (Just add 12 and 5 for answer)
Answer: x=17
Add 5 on both sides
x-5+5=12+5
x=17
Step-by-step explanation: Hope this helps!
If you are having a tough time with math you can use:
khanacademy,
mathnation,
and many other free sources
What is the smallest number that rounds to 45 000 when round off to the nearest thousand
Answers
The least number which can be rounded off to 45,000 is 44,500. While the largest is 45,499.
- BRAINLIEST answerer
Answer:
44 500
Step-by-step explanation:
When 44 499 is round off to nearest 1000,answer is 44 000.Therefore this is the smallest no. the rounds to 45 000