Answer:
[tex]x=-0.5 \pm -i\sqrt{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStandard Form: a + biStep-by-step explanation:
Step 1: Define
-4x² - 4x - 9 = 0
a = -4
b = -4
c = -9
Step 2: Find roots
Substitute: [tex]x=\frac{4\pm\sqrt{(-4)^2-4(-4)(-9)} }{2(-4)}[/tex]Exponents: [tex]x=\frac{4\pm\sqrt{16-4(-4)(-9)} }{2(-4)}[/tex]Multiply: [tex]x=\frac{4\pm\sqrt{16-144} }{-8}[/tex]Subtract: [tex]x=\frac{4\pm\sqrt{-128} }{-8}[/tex]Factor: [tex]x=\frac{4\pm \sqrt{-1} \cdot \sqrt{128} }{-8}[/tex]Simplify: [tex]x=\frac{4\pm 8i\sqrt{2} }{-8}[/tex]Factor: [tex]x=\frac{4(1\pm 2i\sqrt{2}) }{-8}[/tex]Divide: [tex]x=\frac{1\pm 2i\sqrt{2}}{-2}[/tex]Expand: [tex]x=\frac{-1}{2} \pm \frac{-2i\sqrt{2} }{2}[/tex]Simplify: [tex]x=\frac{-1}{2} \pm -i\sqrt{2}[/tex]Evaluate: [tex]x=-0.5 \pm -i\sqrt{2}[/tex]1. If a student's course grade was a B, what is the probability that a randomly selected student did at least 30 minutes of homework at night? 2. Are the events "did at least 30 minutes of homework l" and "course grade is a B" independent? Explain your answer.
Answer:
Step-by-step explanation:
i. 0.21 over 0.30
ii. Independent
What is the percent of increase from 900,000 to 1,000,000?
Round your answer to the nearest tenth of a percent and include a percent sign (%),
Answer:
1000000/900000= 10/9= 1.1111111111*100=11.11%
Pls do this 10 points will mark brainliest pls I need help this is multiplying positive and negative integers
PLEASE HELP ME ASAP.
Answer:
y=-2x+1
Step-by-step explanation:
Answer:
y=-2x+1.......,.........
what does 1 1/8 X 1/9 =
Answer: 11/8 * 1/9 = 11/72
Step-by-step explanation:
Btw, * means multiply
It equals 11/72 because if you multiply the numerator 11*1, it equals 11. If you multiply the denominator, 8*9, it equals 72. So it equals 11/72, and it cannot be simplified. Hope this helps! :3
Stacy sells art prints for $12 each. Her expenses are $2.50 per print, plus $38 for equipment. How many prints must she sell for her revenue to equal her expenses?
Stacy should sell 4 prints to generate revenue that will equal its expenses.
Given that,
Stacy sells art prints for $12 each. Her expenses are $2.50 per print, plus $38 for equipment, how many prints must she sell for her revenue to equal her expenses is to be determined.
The equation model has defined as the model the given situation in the form of equation using variables and constants.
here,
the selling price of each print = $12
Cost of the print = $2.50
And equipment charge = $38
2.50x + 38 = 12x
9.50x = 38
x = 38 / 9.5
x = 38
Thus, Stacy should sell 4 prints to generate revenue that will equal its expenses.
Lear more about models here:
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HELP ME PLEASE!!!!! Question 14
Answer:
yo this is for a quiz right
please help Please help please help please help
Answer: do what ur heart tells you lol
Step-by-step explanation:
Im pretty sure all of them do but...
Answer:
It is proportional if it is a straight line and if it goes through the origin (0,0). So the first one is proportional.
The second and third one are not proportional because it doesn't pass through the origin.
Step-by-step explanation:
I'm doing this topic in math class.
YOU SHOULD STOP TAKING PEOPLE'S POINTS AND NOT GIVING THE RIGHT ANSWER. STOP IT BECAUSE IF U DON'T THEN THEY WILL DO THE SAME TO YOU.
You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of the can (radius and height) will use the least amount of material?(Hint: The lightest can will be the can with the smallest surface area.)
Answer:
[tex]Height = 12cm[/tex]
[tex]Radius = 6cm[/tex]
Step-by-step explanation:
Given
Represent volume with v, height with h and radius with r
[tex]V = 432\pi[/tex]
Required
Determine the values of h and r that uses the least amount of material
Volume is calculated as:
[tex]V = \pi r^2h\\[/tex]
Substitute 432π for V
[tex]432\pi = \pi r^2h[/tex]
Divide through by π
[tex]432 = r^2h[/tex]
Make h the subject:
[tex]h = \frac{432}{r^2}[/tex]
Surface Area (A) of a cylinder is calculated as thus:
[tex]A=2\pi rh+2\pi r^2[/tex]
Substitute [tex]\frac{432}{r^2}[/tex] for h in [tex]A=2\pi rh+2\pi r^2[/tex]
[tex]A=2\pi r(\frac{432}{r^2})+2\pi r^2[/tex]
[tex]A=2\pi (\frac{432}{r})+2\pi r^2[/tex]
Factorize:
[tex]A=2\pi (\frac{432}{r} + r^2)[/tex]
To minimize, we have to differentiate both sides and set [tex]A' = 0[/tex]
[tex]A'=2\pi (-\frac{432}{r^2} + 2r)[/tex]
Set [tex]A' = 0[/tex]
[tex]0=2\pi (-\frac{432}{r^2} + 2r)[/tex]
Divide through by [tex]2\pi[/tex]
[tex]0= -\frac{432}{r^2} + 2r[/tex]
[tex]\frac{432}{r^2} = 2r[/tex]
Cross Multiply
[tex]2r * r^2 = 432[/tex]
[tex]2r^3 = 432[/tex]
Divide through by 2
[tex]r^3 = 216[/tex]
Take cube roots of both sides
[tex]r = \sqrt[3]{216}[/tex]
[tex]r = 6[/tex]
Recall that:
[tex]h = \frac{432}{r^2}[/tex]
[tex]h = \frac{432}{6^2}[/tex]
[tex]h = \frac{432}{36}[/tex]
[tex]h = 12[/tex]
Hence, the dimension that requires the least amount of material is when
[tex]Height = 12cm[/tex]
[tex]Radius = 6cm[/tex]
please help me wit this question
12/2
um belo dia abençoado
What is 50% of 16 gallons of gas
Simplify each expression involving signed numbers.
GIVING BRAINLEIST PLZ CHECK OUT!!!!!!!!!!!!
-7 – 2 =?
12 + (-4) =?
-8(-6) =?
StartFraction 18 over negative 3 EndFraction =
Answer:
1)=-9
2)=8
3)=48
Step-by-step explanation:
Hope these answers helped!
A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals. Assuming that the ship travels at a constant speed, what is its speed? (Speed uses the per).
Answer:25 miles
Step-by-step explanation:
The solution of the given question with steps. Thank u
Answer:
The answer might be -67/4= -16.75
Math
Ryann Freeman
The ratio of red candies to blue candies is 5:4 in the bag. If there are 20 blue
candies in the bag, how many red candies are there?
Answer:
25
Step-by-step explanation:
if four is the ratio of blue to five then divide four by 20 blue because thats the number your finding and you get 5 so then you multiply 5 by 5 and you get 25
Answer:
25
Step-by-step explanation:
Divide 4 by 20 to get 5. Then multiply 5 by 5 to get 25.
Drew played video games this morning for 48 minutes. He plans to play 30 minutes again each day for the rest of the week. Which function can be used to find ythe number of minutes Drew has played video games in all?
Answer:
30
Step-by-step explanation:
Me you $5 off your total.
Question 1 (4 points)
At a pet store, they are selling rabbits for $15.25 each. They
a) Write an equation for the function, p(r), that represents the final price of the rabbits with the discount applied.
PLEASE HELP
Which sequence of transformations proves that shape I is similar to shape II?
A.
a reflection across the x-axis, and then a translation 6 units right
B.
translation 6 units right, and then a 90° clockwise rotation about the origin
C.
a 180° counterclockwise rotation about the origin
D.
a reflection across the y-axis, and then a translation 4 units up
E.
a reflection across the x-axis, followed by a 180° counterclockwise
rotation about the origin, and then a translation 4 units down
Answer:
D
Step-by-step explanation:
The shape I is a reflection across the y-axis, and then a translation 4 units up of shape II. Then the correct option is D.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape, but flipped the image.
Translation does not change the size and shape, but changes the location of the geometry.
The shape I is a reflection across the y-axis, and then a translation 4 units up of shape II.
Then the correct option is D.
More about the transformation of geometry link is given below.
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The common multiples of 3 and 4 are: ____ And ____?
Answer:
1
Step-by-step explanation:
3: 1, 3
4: 1,2,4
So only one can work.
Hope this helps you!! :D
Answer:
1 & 12
Step-by-step explanation:
f(x)=4x+1
g(x)=−4x−1
Write g in terms of f
Answer:
i think that the answers is -16x + 5
The probability that Evan purchases a comic book from the bookstore (event A) is 0.67, and the probability that Glen purchases a comic book from the bookstore (event B) is 0.74. The probability that both Evan and Glen purchase a comic book is 0.2442. Given this information, which statement is true?
A
Events A and B are independent because P(A|B) ≠ P(A).
B.
Events A and B are independent because P(A and B) = P(A) × P(B).
C.
Events A and B are dependent because P(A and B) ≠ P(A) × P(B).
D.
Events A and B are dependent because P(A|B) = P(A).
Answer:
B. Events A and B are independent because P(A and B) = P(A) × P(B).
Help, if you don't know. Pls don't answer!! I need help quick!!!
(y1 - y2) / (x1 - x2) = slope
(-1 - 3) / (4 - 2)
-4 / 2
-2
Hope this helps! :)
There are 2,204 children in a school.
Of them, 925 are girls.
How many more boys than girls are there?
Answer:
1279
Step-by-step explanation:
You take 2204 and subtract 925 to give you the number of boys ehich is 1279
Answer:
1279
Step-by-step explanation:
total amount of students: 2,204
Total Amount of Girls: 925
Total Amount of Boys: ?
2,204 - the total amount of girls which is 925 which is = to 1279 which is the total amount of boys i think
Simplify 3(4x + 6) - 9x.
12 x + 18 - 9 x
3 x + 18
-15 x + 18
3 x + 6
Answer:
3x+18
Step-by-step explanation:
The Alden Middle School girls' soccer team won 80% of its games this season.If the team won 12 games,how many games did it play? Solve the problem using at least two different methods.
The answer fam is..... They played 15 games
Joe has flown a total of 1,194 miles. Staci has flown 6 times as many miles as Joe.
Which equation can be used to find the number of miles Staci has flown?
A. 6 × 1,194 = m
B. 5 × 1,194 = m
C. (6 × 1,194) – 1,194 = m
D. (6 × 1,194) + 1,194 = m
Answer:
A
Step-by-step explanation:
if staci has flown 6 times as many miles as joe, you would mulitply the number of miles joe has flown by 6, or A
Why does the weight of the dry ice go down while it's sitting on the scale?
The seed and skin of a typical avocado is 35% of the avocado's weight. For an 8-ounce avocado, how many ounces of edible fruit does it have?
Answer: 5.2 edible fruit
Step-by-step explanation:
8 x .35 = 2.8. 8 - 2.8 = 5.2 edible fruit
If there are 8 slices of bread and one cup of milk how much milk is in each bread
Answer:
1/8 cup of milk in each slice of Bread
Step-by-step explanation:
Hope This Helps :)The graph shows the relationship between distance and time as Glenda
swims. Select the equation that shows the relationship between time and
distance.
Answer:
Step-by-step explanation:
?
