Answer:
A. There are two complex roots
Step-by-step explanation:
Just took the test
If the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.
Discriminant of quadratic equationThe discriminant of a quadratic equation is given as;
[tex]b^2 - 4ac>0 \ \ ( 2 \ solutions; 1 \ positive \ and \ 1 \ negative\ solution)\\\\b^2 -4ac = 0 \ \ (1 \ real \ solution)\\\\b^2 - 4ac \ < 0 \ \ (complex \ root, \ no \ solution)[/tex]
A discriminant of negative 8 falls with last category in the solution above.
[tex]b^2 - 4ac <0 \ \ (eg \ -8),[/tex]
[tex]x = +/-\sqrt{-8} \\\\x = \sqrt{-8 } \ \ or \ \ -\sqrt{-8} \ \ \ \ \ (2 \ complex \ roots)[/tex]
Thus, if the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.
Learn more about discriminant of quadratic equation here: https://brainly.com/question/4318614
What's the answer please
Answer:
A. (3V/B) = h
Step-by-step explanation:
V = (1/3)Bh
3V = Bh
(3V/B) = h
-5(k + 4) > 2 - (3k + 6)
Help please:)))
Find the equation of a line perpendicular to 4x - y = 2 that contains the point (4, -2). Write the equation in slope.
intercept form.
Answer:
y = -1/4x - 1
Step-by-step explanation:
First, put the equation in slope intercept form:
4x - y = 2
4x - 2 - y = 0
4x - 2 = y
y = 4x - 2
Perpendicular lines have opposite reciprocal slopes. Since the original slope is 4, the other line's slope will be -1/4
Plug in the given point and the slope into y = mx + b, then solve for b:
y = mx + b
-2 = -1/4(4) + b
-2 = -1 + b
-1 = b
Plug in the slope and b into the equation:
y = -1/4x - 1 is the equation
4 groups of ___ tenths is 1.6
Given:
4 groups of ___ tenths is 1.6.
To find:
The value for the blank.
Solution:
Let the unknown value be x.
4 groups of x tenths is 1.6.
[tex]4x=1.6[/tex]
Divide both sides by 4.
[tex]\dfrac{4x}{4}=\dfrac{1.6}{4}[/tex]
[tex]x=0.4[/tex]
So, 4 groups of 0.4 tenths is 1.6.
Therefore, the required answer for the blank is 0.4.
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?
Answer:
512 ounces
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
multiply the volume value by 128
One night in January, the temperature in Alaska is -16℉. The next day, the temperature is half of what it was the night before. What is the temperature? One night in January, the temperature in Alaska is -16℉. The next day, the temperature is half of what it was the night before. What is the temperature?
Answer:
-8 degrees
Step-by-step explanation
Half of negative 16 would be negative 8.
Answer:
-8
Step-by-step explanation:
-16 ÷ 2 = -8
You could also do:
16 ÷ 2 = 8
and then put a negative in front of 8
And to prove it's true,
8 x 2 = 16
-8 x 2 = -16
Makayla plotted two points, (0, 0) and (3, 33), on a coordinate grid. Noah says that she is graphing a proportional relationship. Is Noah correct? Explain.
Answer:
Noah is correct.
Step-by-step explanation:
Noah is correct, a proportional relationship can be formed by observing two conditions:
1) Knowing at least two distinct collinear points on coordinate grid.
2) Ratio between dependent and independent variables must be the same on each point.
3) Relationship must include origin.
Makayla used two points: (0, 0) and (3, 33). Therefore, she observed all conditions described above:
Condition 1: Makayla plotted (0,0) and (3,33). According to Geometry, two distinct point on coordinate grid are always collinear.
Condition 2: The proportionality ratio is:
[tex]k = \frac{33}{3}[/tex]
[tex]k = 11[/tex]
Condition 3: The relationship included origin: (0, 0).
Which factor can cause secondary succession?
A. clear cutting
B. glacial melting
C. competition
D. predation
(Which one from these answers?)
Answer:
a
Step-by-step explanation:
One side of a triangle is half the longest side. The third side is 10 meters less than the longest side. The perimeter is 45 meters. Find all three sides.
m (smallest value)
m
m (largest value)
What is the square root of -1?
-i
i
-1
1
Answer:
the square root of -1 is i
Step-by-step explanation:
Well, actually, the square root of -1 (or any negative number at that) is not a real number. What I mean by that is that there is no way to square a real number to get a negative number (ie [tex]2^{2} = 4, -2^{2} =4[/tex], there is no way to square a real number to get -4).
To solve this, mathematicians came up with the "imaginary number" i which, when squared, equals to -1. This allows us to get the square root of negative numbers ([tex]\sqrt{-4} = 2i[/tex]) or get negative numbers through squaring ([tex]2i^{2} = -4[/tex]).
The required value of the square root of -1 is i. The correct answer is option B.
As we know that complex number is made up of real and imaginary values. It is represented by the equation z = a + ib, where a, b, and i are real values and i is an imaginary number.
The square root of -1 is denoted as "i" in mathematics, where "i" represents the imaginary unit.
The imaginary unit is defined as the square root of -1. It is important to note that the square root of a negative number is not a real number, but an imaginary number.
⇒ √(-1)
⇒ √(i²)
⇒ i
So, the correct answer is "i."
Learn more about complex numbers here:
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8,943
=
X 1000 +
x 100 +
x 10 +
x 1
x 103 +
x 10? +
x 10 +
II
X 1
Answer:
I think that's wrong
Step-by-step explanation:
1000+1000+1000+1000+1000+1000+1000+1000+1000+ 900+40+3 ?????? not sure but it welcome
1. f(x) = 3x – 2; f(4)??
Answer:
the answer is 5
Step-by-step explanation:
f(4) = 3(4) -2
7 - 2 = 5
what is 7,233 divided by 84?
Graph y=3/4+4 Please! I need help!
iTunes charges a one time fee of $10 and $ 1 per song . Spotify charges a one time fee of $20 and $0.50 per song. After how many songs will the Spotify membership pay off and in the long run cost you less ?
Answer:
7
Step-by-step explanation:
A lab technician must screen 175 slides under the microscope each week. If she works 7 hours a day, 5 days a week, how many slides,on average, must she screen in one hour
Answer:
The lab technician must screen 5 slides per hour
Step-by-step explanation:
If the lab technician works 5 days a week, and 7 hours per day, then she works 5*7 = 35 hours a week.
Given she must screen 175 slides each week, we can calculate on average, the number of slides per hour needed to complete the work.
The average is calculated as:
[tex]\displaystyle average=\frac{\text{total slides}}{\text{total hours}}[/tex]
[tex]\displaystyle average=\frac{175}{35}=5\ slides/hour[/tex]
The lab technician must screen 5 slides per hour
2
Name the intersection of plane P and plane ABD.
C
P
B.
.
D
E
BD
Point D
AD
Point B and Point D
Answer:
D
Step-by-step explanation:
┈┈▕┈┈┈╱╲▕▀┈┈┈
┈┈┈╱╲┈┈▏▕╱╲┈┈┈
┈┈┈▏▕╱╲▏▎▏▕╱╲┈▃
┈╱╲▏▎▅▂▅▂▏▎▏▎▏▏
▂▏▎▏▕╭┳┳╮▏┊▏▕╱╲
▏▏┊▏▎┃┊┊┃▏▎▏▎▏▕
▇▆▅▃▂┻┻┻┻▂▃▅▆▇▉.
Annie bakes cookies and cupcakes in a ratio of 4 to 3 for her gift boxes. Her school needs 35 desserts to sell in a bake sale.
How many cupcakes will she bake? How many cookies will she bake?
Answer:
20 cookies and 15 cupcakes (20:15)
Explanation:
First you need to multiply 4 by 5 which equals 20. Then 3 by 5 which equals 15. Then you need to add them together to get 35!
Ratio Table!
4 | 3 x4
16 | 12 + 4:3
20 | 15 = 35!
I Hope This Helps!
What is the correct answer?
Answer:
d) 3
Step-by-step explanation:
4t^2 +5t -1
in this equation there are 3 terms:
4t^2, 5t, and -1
Answer:
answer is 3 because there are 4t square + 5t -1
1 2. 3
Find the constant of proportionality.
Please don't answer if you don't know it. (it doesn't help whatsoever)
Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week.
Week Mass (grams)
(start) 80
1
2
3
4
Answer:
Week 1 = 80
Week 2 =88
Week 3 = 96.8
Week 4 = 106.48
Week 5 = 117.128
Step-by-step explanation:
Given
Week 1 = 80
Growth = 10%
Required
Fill week 1 to 5
We have week 1 already.
Week 2 is calculated as thus:
Week 2 = Week 1 + 10% * Week 1
Week 2 = 80 + 10% * 80
Week 2 = 80 + 8
Week 2 = 88
Week 3 is calculated as thus:
Week 3 = Week 2 + 10% *Week 2
Week 3 = 88 + 10% * 88
Week 3 = 88 + 8.8
Week 3 = 96.8
Week 4 is calculated as thus:
Week 4 = Week 3 + 10% * Week 3
Week 4 = 96.8 * 10% *96.8
Week 4 = 96.8 + 9.68
Week 4 = 106.48
Lastly, week 5 is calculated as thus:
Week 5 = Week 4 + 10% * Week 4
Week 5 = 106.48 + 10% * 106.48
Week 5 = 106.48 + 10.648
Week 5 = 117.128
- What is the area of the square?
(A) 16
(B) 25
(C) 32
(D) 36
(E) 41
Answer:
I counted 32 squares in and out
Answer:
A=a^2, so A=4^2=16 , or 4*4=16
Step-by-step explanation:
All sides of a square are equal, so the length of the sides are all 4. Put 4 in for a in the formula A=a^2 or Area = side length squared.
A = 4^2
A = 4 * 4
A = 16
What does each space between two numbers represent
Bev scored 540 points. This was 158 points more than Ike scored. How many points did Ike score?
Answer:
382
Step-by-step explanation:
540 - 158
Find the perimeter of the rectangle.
5 in.
9 in.
Answer:
28 inches
Step-by-step explanation:
if a plane travels 1,200 miles in 2 hours how many mph is the plane going
Answer:
600
Step-by-step explanation:
Sense 2 hours has passed you divide the amount of distance the plane has traveled by the amount of time it took. :)
Answer:
600 mph
Step-by-step explanation:
its the speed of the plane
the solution is distance travel which is 1,200 miles divided by the time 2 hours will be equal to 600 miles per hour (mph).
HELP ME ASAP!!!!!!!!!!!! 30 POINT REWARD!!!!!!!!!!!!!!!!!!!!!!!PLEASE EXPLAIN AND SOLVE!!!!!The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
X g(x)
0 $600
3 $720
6 $840
Part A: Find and intepret the slope of the function
Part B: Write the equation in point slope, slope intercept form, and standard form
Part C: Write the equation of the line using function notation
Part D: What is the balance of the bank account after 7 days?
Part A:
The y-intercept is $1,500
The x-intercept is 20 days
Part B:
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
f(x) = -75·x + 1500
Part D:
$1,125
Step-by-step explanation:
The information given are;
x, g(x)
0, $1,500
2, $1,350
4, $1,200
The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is y = m·x + c
Where;
m = The slope
c = The y-intercept
From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);
The y-intercept = y at x = 0 = 1,500
y = -75·x + 1500
x = 1500/75 = 20
Part B:
The equation in point-slope form is y - y₁ = m×(x - x₁)
Which gives;
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
The equation of the line using function notation is f(x) = -75·x + 1500
Part D:
The balance in the bank after 5 days is f(5) = -75 × 5 + 1500 = $1,125
Polynomial function R is the difference of two degree-2 polynomial functions P and Q. What are the possible degrees of R? Explain.
Answer:
D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.
Step-by-step explanation:
The possible degrees are 0, 1, and 2. Let's explain why by assuming the following is given:
P = 6x² - 3x - 2
Q = 3x² + 2x - 6
Let R = P - Q
Thus:
(6x² - 3x - 2) - (3x² + 2x - 6)
Open parentheses by distributing the factor of -1
6x² - 3x - 2 - 3x² - 2x + 6
Add like terms together
6x² - 3x² - 3x - 2x - 2 + 6
R = 3x² - 5x + 4
The leading term of R has a degree of 2. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 2.
Also, let us assume the following:
P = 4x² + 4x - 3
Q = 4x² + x - 8
Let R = P - Q
R = (4x² + 4x - 3) - (4x² + x - 8)
R = 4x² + 4x - 3 - 4x² - x + 8
Collect like terms
R = 4x² - 4x² + 4x - x - 3 + 8
R = 4x + 5 (4x² cancels 4x²)
The leading term of R has a degree of 1. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 1.
Also, let us assume the following:
P = x² + 2x - 3
Q = x² + 2x - 8
Let R = P - Q
R = (x² + 2x - 3) - (x² + 2x - 8)
R = x² + 2x - 3 - x² - 2x + 8
Collect like terms
R = x² - x² + 2x - 2x - 3 + 8
R = 5 (x² cancels x², and 2x cancels 2x)
The polynomial R has a degree of 0. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 0.
Therefore we can conclude that:
D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.
Find the reciprocal of 10 1/2!
Answer:
2/21
Step-by-step explanation:
10 1/2=21/2 and then flip it
You have a box with dimensions 2 ft. x 4 ft. x 3 ft. a. If you want to wrap the box, what is the minimum amount of wrapping paper you need? b. If the paper cost $2.59 per square foot, what is the minimum cost?
Answer: A) 52 ft B) $134.68
Step-by-step explanation:
First find the surface area by multiplying the dimensions together.
2 x 4 = 8
2 x 3 = 6
4 x 3 = 12
Then add them up and multiply by two because there are two of each side.
26 x 2 = 52
To find the cost, multiply 52 by $2.59 to get the price.
52 x $2.59 = $34.68