Answer:
If d is zero, both roots are rational and equal.
Step-by-step explanation:
Quadratic Equations
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The discriminant is defined as:
[tex]d=b^2-4ac[/tex]
The sign of the discriminant defines the nature of the roots of the quadratic equation as follows:
If d is positive, both roots are real and differentIf d is negative, both roots are imaginary and conjugateIf d is zero, both roots are rational and equal.Without graphing, what is the slope of the line that passes through the (4,3) and (6,-2)
Answer:
ur awesome!
Step-by-step explanation:
2,12,72,432 what is the formula?
Answer: The formula is x6
Step-by-step explanation:
CORRECT ANSWER WILL GET BRAINLIEST!!!!
The solution to this equation is:
C.) x=7
(2x3)7x4)8x1)
I will makr brainliest if you get it right !!
Answer: 1344?
Step-by-step explanation:
Answer:
1344
Step-by-step explanation:
hope this helps
1. The temperature was very cold. Then the
temperature doubled.Then the temperature
dropped by 10 degrees. Then the temperature
increased by 40 degrees. The temperature is now 16
degrees. What was the starting temperature?
I
2. Lin ran twice as far as Diego. Diego ran 300 m farther
than Jada. Jada ran ğ the distance that Noah ran.
Noah ran 1200m. How far did Lin run?
IN
Illustrative
Mathematics
Unit 4. Lessonl. Activity 2
Kendall Hunt
Answer with step-by-step explanation:
1. 16 - 40 + 10 = -24 + 10 = -14°
2. Noah = 1200 m. Jada = 1200ğ m. Diego = 1200ğ + 300. Lin = 2400ğ + 600.
Hope this helped!
Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?
Answer:
[tex]-\frac{7}{25}[/tex]
Step-by-step explanation:
Value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
What is trigonometric ratio?" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."
Identity used
[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]
According to the question,
Given value of trigonometric ratio,
[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]
Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,
[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]
Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex] the trigonometric identity ,
[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]
Hence , value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
Learn more about trigonometric ratio here
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[tex]( - \frac{3}{5} )( - \frac{10}{3} )( - \frac{2}{9} ) = [/tex]
I need help please
[tex](-\frac{3}{5})(-\frac{10}{3})(-\frac{2}{9}) = (\frac{30}{15})(-\frac{2}{9}) = 2(-\frac{2}{9}) = -\frac{4}{9}[/tex]
ASAP Answer right with PROOF, Will give thanks, stars and brainiest
Answer:
5
Step-by-step explanation:
(67/8 -29/6)+35/24
=201-116+35/24
=120/24
=5
7. Heather’s weekly pay is directly proportional to the number of hours she works at the insurance agency. Her pay is $174 for 24 hours of work. How much will Heather make if she works 40 hours in one week?
Answer:
$290
Step-by-step explanation:
174 divided by 24 is 7.25 (which is how much Heather works each hour)
Then multiple 40 x 7.25 to get your answer of $290
Find the missing side lengths.
Step-by-step explanation:
let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.
Using pythagorean theorem we have that x^2+9^2=(2x)^2
81=4x^2-x^2
81=3x^2
x^2=81/3=27
x=√27
so the missing side is √27
What is the sum of the first four composite numbers?
19
20
27
28
Answer:
Your answer would be 27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
What is the value represented by the digit 8 after 7,824 is divided by 10?
8,000
800
80
8
Answer:
I believe the answer is 80
What is multiplicative inverse of 15/-4?
Answer:
-3.75
Step-by-step explanation:
Trish has two containers of water for a camping trip. One container holds 2 times as much as the other. The total amount of water is 21 gallons. How much water is in each container?
Answer: 7 gallons; 14 gallons
Step-by-step explanation:
Let the amount of water in the first container be x.
Since one container holds 2 times as much as the other, the second container will be: = x × 2 = 2x
The total amount of water is 21 gallons. This means:
x + 2x = 21
3x = 21
x = 7 gallons
First container = 7 gallons
Second container= 2x = 2×7 = 14 gallons
I need help with my math textbook question! It's due in like 10 minutes.
Answer:
A. Both have same y-value
B. Both have different slopes
Step-by-step explanation:
A. Both start at 0
B. When looking at the equations both have different slopes
What is the maximum number of solutions each of the following systems could have?
Answer:
i need this answer too:(((
Step-by-step explanation:
Answer:
0,2,2,4
Step-by-step explanation:
A teacher gathered data about the number of hours her students spent studying for a test and their resulting test grades. She found that on average, for every 30 minutes studied, the grade increased by 8 points. Which statements about this relationship are true? Check all that apply.
The data set would have a linear association.
The data set would have a nonlinear association.
The data set would have a positive correlation.
The data set would have a negative correlation.
Every student earns 16 more points for each additional hour they study.
Students that study more tend to earn better grades on the test.
The scenario described exhibits a linear relationship between the number of study hours and test grade as seen in the constant rate of change in grade per increase in study hours. Hence, the following statements are true ;
The data set would have a linear association.The data set would have a positive correlation.Students that study more tend to earn better grades on the test.Since test grade tends to increase as the number of study hours increases, these shows that there is a positive relationship between the variables. Hence, students who take in more hours of study tend to have better test grade.
Learn more : https://brainly.com/question/18618957
Answer:
a,c,f
Step-by-step explanation:
Will mark brainliest :D
Answer:
a=4
b=5
c=2
d=3
e=1
Find the 75th term of the following arithmetic sequence.
14, 22, 30, 38,
Answer:
a₇₅ = 606Step-by-step explanation:
[tex]a_1=14\\a_2=22\\\\d=a_2-a_1=22-14=8\\\\a_n=a_1+d(n-1)\\\\a_{75}=14+8(75-1)=14+8\cdot74=14+592=606[/tex]
Find AB if X is the midpoint of AB and AX has the given length.
16. 4 17. 157
Answer: x-intercept 5 and y-intercept 8.
Step-by-step explanation: As you work through it, you will discover that algebra, geometry, and trigonometry ... AB. For each of the following, find coordinates for the midpoint of AB: ... Given that 2x − 3y = 17 and 4x + 3y = 7, using mental math (that is, without using ... Find a and b so that ax + by = 1 has x-intercept 5 and y-intercept 8.
Please help me answer this!
Answer:
what?
Step-by-step explanation:
PLS DONT REPORT ME IF U DO U DONT WANT TO KNOW WHAT WILL HAPPEN
So if you have 2x2 amount of apples but then you only have 3 apples whats wrong with this equation?
Answer:
2x2 is 4 but you have 3 apples?
Step-by-step explanation:
At the grocery store, Miranda weighs 2 pound of green beans for a recipe she wants to make. How many ounces of green beans did Miranda weigh?
Answer:
32
Step-by-step explanation:
Hope it helps!!
Now You Try!
AABC is an isosceles triangle with AB = BC. If AB = 3x + 41, BC =
8x – 54, and AC = 12x – 103, find x and the measure of each side.
Answer:
Step-by-step explanation:
18
What is the absolute value of Point B labelled on the number line? A number line with point A at coordinate negative 2.2, point B at coordinate negative 1.6, and point C at coordinate 1.2. Drag and drop the answer into the box to match the correct statement. HELP PLEASE
Answer:
The absolute value of point B on the number line is 2.2.
Step-by-step explanation:
A number line is given with point A at coordinate negative 2.2, point B at coordinate negative 1.6, and point C at coordinate 1.2.
So, on the number line, all the points having negative value are on the left side of zero.
Position of the point A is -2.2,
Position of the point B is -1.6,
Position of the point C is -1.2.
The absolute value of any point on the number line is the distance of that point from zero.
So, the absolute value of point B on the number line is the distance of point B from zero which is |-2,2|=2.2.
Someone help me with this question please
Answer: [tex]t\geq 1[/tex]
Step-by-step explanation:
you would multiply by 3 on both sides to get the division to go away.
then subtract 8 from both sides.
then you have your answer
Match the two numbers with their least common multiple (LCM).
Match
Term
Definition
10 and 4
A) 20
10 and 6
B) 30
10 and 8
C) 40
answer is Lcm which is probaly c
Hi hope your having a good day please answer this
Find the unit rate: $3.60 for 20 ounces.
A. $0.16 per ounce
B. $0.13 per ounce
C. $0.18 per ounce
D. $0.22 per ounce
Answer:
c
Step-by-step explanation:
because 3.60÷20 is 0.18
Answer: C $0.18 per ounce
Step-by-step explanation:
2.
Tom swims a steady pace in the pool. He swims 20 laps in 4 hours. What is the unit rate of
laps per hour?
Answer:
5
Step-by-step explanation:
5 (l)x4(h)=20
(l)=laps
(h)=Hours
Simply the expressions
n-7-4n
Answer:
-3n-7
Step-by-step explanation:
n-7-4n
and then u combine like terms and u get
-3n-7
Answer:
-3n-7
Step-by-step explanation:
n also means 1n