Answer: None, 0 real roots
Step-by-step explanation:
To find the discriminant, you simply do [tex]b^2 - 4ac[/tex]
b = 2
a = -1
c = -5
[tex]2^2-4(-1)(-5) = 4 - 20 = -16[/tex]
iff x > 0: 2 roots
iff x < 0: none
iff x = 0: 1 root
Actual Explanation and Intuition behind it:
If the answer is negative, you cant take the square root of the number. Because no matter what, you will always strive for a positive number. Unless you implement calculus, but that is way beyond a middle schoolers level
If the answer is postive, there will be 2 roots because you can make x itself equal to a negative number because when you square it, it will be positive. So the positive and negative value will be an acceptable answer
If the answer is 0, then youre basically doing the square root of 0. Thats equal to 0
The discriminant formula itself comes straight from the quadratic formula, which you should memorize because it is extremely useful.[tex]\frac{-b (+/-) \sqrt{b^2-4ac} }{2a}[/tex]
Solve: StartFraction 10 Over x EndFraction = 2 a. x = 5 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the choices provided A B C D
solve: [tex]\frac{10}{x}[/tex] = 2
Answer:
a. x= 5
Step-by-step explanation:
To solve the question given, we will follow the steps below;
[tex]\frac{10}{x}[/tex] = 2
multiply x to both-side of the equation
[tex]\frac{10}{x}[/tex] × x= 2× x
at the left-hand side of the equation, x will cancel-out x, leaving us with 10
10 = 2x
divide both-side of the equation by 2
10/2 = 2x/2
at the right-hand side of the equation, 2 at the numerator will cancel-out 2 at the denominator leaving us with just x, while on the left-hand side of the equation, 10 will be divided by 2
5 = x
x=5
Answer:
a
Step-by-step explanation:
*WORTH 15 POINTS!!!*
please answer this (photo attached - question below)
( the “<“ have _ under them in the real questions sorry if that’s confusing)
PART A:
the domain of the function is _____ < x < ______
PART B:
the range of the function is _____ < f(x) < _____
PART C:
the function decreases from _____ < x < _____
Answer:
what is this I don't kno!
How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three
Answer:
2
Step-by-step explanation:
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far
How many dimensions does a plane have?
● Α. Two
O B. Zero
O C. One
O D. Three
10 Points!!!
Which expression equals the fraction of the square that is shaded dark blue?
Answer:3/8
Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.
Answer:
1/2 * 3/4
Step-by-step explanation:
6x + 3y = 9
2x + 3y = 1
Solve the system of equations.
A)
x = 2, y = -1
B)
x = -1, y = 2
C)
x=1/2,y=3
D)
x=3,y=-1/2
Answer:
A
Step-by-step explanation:
Given the 2 equations
6x + 3y = 9 → (1)
2x + 3y = 1 → (2)
Subtracting the 2 equations term by term eliminates the y- term
Subtract (2) from (1) term by term, that is
(6x - 2x) + (3y - 3y) = 9 - 1
4x = 8 ( divide both sides by 4 )
x = 2
Substitute x = 2 into either of the 2 equations and evaluate for y
Substituting into (2)
2(2) + 3y = 1
4 + 3y = 1 ( subtract 4 from both sides )
3y = - 3 ( divide both sides by 3 )
y = - 1
The solution is x = 2, y = - 1 → A
Plzzz answer ASAP. Plzz answer ALL three a,b,c
Answer:
I hope it helps . For any clarification , Please notify me through the comment section .
Step-by-step explanation:
[tex]f(x) = 3x-5\\g(x) = 2(x-1)\\ \\g(-3) = 2(-3-1)\\g(-3) = 2(-4)\\g(-3) = -8\\\\f[g(x)] = f(2(x-1)\\f[g(x)] = 3[2(x-1)]-5\\f[g(x)] = 3[2x-2]-5\\f[g(x)] = 6x-6-5\\f[g(x)] = 6x-11\\\\g[f(x)] = g[3x-5]\\g[f(x)] = 2[3x-5-1]\\g[f(x)] = 6x -10-2\\g[f(x)] = 6x -12[/tex]
Simplify.
0
10
3
(2.8 + 1.2)
6
NEED THE ANSWER NOW!!!
Answer:
Step-by-step explanation:
Pls help I’ve already tried 3/11 but it says it wrong
Answer:
12
Step-by-step explanation:
Alr so correct me if I'm wrong but I think you made a mistake. It says find 44 of those rectangles. You found just 1 in that case which the area is 3/11. You have to do 3/11 X 44 which is
3/11 x 44/1 = 132/11 = 12.
As I said, correct me if I'm wrong.
Hope this Helps!
∠1 and ∠2 are supplementary. If m∠1 = (3x - 17)° and m∠2 = (5x + 21)°. Find the value of x.
Answer:
Step-by-step explanation:
∠1 + ∠2 = 180 {supplementary}
3x - 17 + 5x + 21 = 180
Add the like terms
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Answer:
x = 22
Step-by-step explanation:
Supplementary angles add to 180
<1+ <2 =180
(3x - 17) + (5x + 21) = 180
Combine like terms
8x +4 = 180
Subtract 4 from each side
8x +4-4 = 180-4
8x = 176
Divide each side by 8
8x/8 = 176/8
x = 22
What is 2 less than a number
Answer:
2<x
Step-by-step explanation:
less than x
Answer:
n-2
Step-by-step explanation:
lets put the variable N to mean the "number"
Subtraction is used to take away a certain amount, so 2 less than is that certain number subtracted 2
which can be written as n-2
The tip of a pendulum moves through an angle of 0.38 radians. If the radius of the pendulum is 25
centimeters, then which of the following is the length of the arc the tip moves through?
(1) 4.7
(3) 7.8
(2) 6.1
(4) 9.5
Answer:
The length of arc 'l' = 9.5
Step-by-step explanation:
Explanation:-
Given radius of the pendulum r = 25
The tip of a pendulum moves through an angle of 0.38 radians
θ = 0.38 radians
The length of arc 'l' = rθ
'l' = (25)(0.38)
The length of arc 'l' = 9.5
A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
ball's acceleration?
Answer:
35.71m/s²
Step-by-step explanation:
using the formula force(F)=mass(m)×acceleration(a)
a =
[tex] \frac{f}{m} [/tex]
F=15.0N
m=0.42kg
a=?
a=15÷0.42
a=35.71m/s²
Answer:
C
Step-by-step explanation:
the length of segment TQ= 29. explain how to find the length of segment QV. make sure to put the sentence in this form. statement then the because.
helpppp ):
Answer:
Length of segment QV = 35 units
Step-by-step explanation:
As shown in the figure attached,
Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,
"There are two pairs of the sides which are equal in measure."
Therefore, TS ≅ TQ and SV ≅QV
Since TS ≅ TQ,
3x + 2 = 29 [Given: TQ = 29 units]
3x = 29 - 2
3x = 27
x = 9
Another pair of the consecutive sides is,
SV ≅ QV ≅ (4x - 1)
By substituting the value of x,
QV = (4 × 9) - 1
= 36 - 1
= 35 units
Therefore, length of segment QV = 35 units
what is the value of x ?!
Answer:
4
Step-by-step explanation:
2x - 1 = 7
2x = 8
x = 4
In what ways are sine and cosine graph similar? Be sure to include a discussion of intercepts, maxima, minima, and period.
Answer:
The sine and cosine functions are similars in:
They are periodic functions with a period of 2π.
The domain of each function is (−∞,∞) and the range is [−1,1]. Both has maxima in 1 and a minimal in -1.
What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x - 4)2 + 6
g(x) = (x + 6)2 - 4
g(x) = (x - 6)2 - 4
g(x) = (x + 4)2 + 6
Answer:
D. g(x) = (x + 4)2 + 6
Step-by-step explanation:
I just took the test and this was the correct answer
PLEASE HELP ME OUT. THIS IS DUE TODAY.
Answer:
Round up because it is necessary to count the extra decimal payment as another payment. You can't round down because then it wouldn't all be paid off.
For every 4 hours of babysitting, Sam charges $30. If last month she earned $75, how many hours did she babysit ?
Answer:
10
Step-by-step explanation:
The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 9.54 11.00 24.00
Answer:
Step-by-step explanation:
Hypotenuse^2=3^2+8^2
Hypotenuse^2=9+64=73
Hypotenuse =square root of 73
Hypptenuse =8.54
Answer:
8.54
Step-by-step explanation:
I took a test
11) Omar is flying a kite on a 50-foot string at a diagonal distance. The kite gets stuck at the top
of a 40-foot tree. How far is Omar from the tree?
Answer:
30 ft
Step-by-step explanation:
We have a right triangle.
Hypotenuse = c = 50 ft
Leg #1 = a = 40 ft
Leg#2 = b = ?
We need to use Pythagorean Theorem
c² = a² + b²
50² = 40² + b²
b² = 2500 -1600 = 900
b = 30
Select the function that represents the simple interest formula.
O A. A(n) = (n - 1)(P..)", where n is any real number
O B. A(n) = P+(n-1);• P, where nis a positive integer
O C. A(n) = + (P-1)/• P, where n is a positive integer
O D. A(n) = P(1 + )" – 1, where n is any real number
Answer: B- A(n) = P+(n-1)i•P, where n is a positive integer
Step-by-step explanation:
Answer: It is B have a nice day
Step-by-step explanation:
Find the volume of this problem
Answer:
Step-by-step explanation:
diameter = 6 in
r = 6/2 = 3 in
h = 11 in
Volume of cylinder = πr²h
= 3.14*3*3*11
= 310.86 in³
A tree casts a 204 centimeter shadow. A person next to the tree casts a 85 centimeter shadow. If the person is 154 centimeters tall, how tall is the tree to the nearest centimeter?
Answer
would it be 135?
Step-by-step explanation:
What is the slope of the line that goes through the points (1,5) and (4,1)
Answer:
[tex] - \frac{4}{3} [/tex]
Step-by-step explanation:
gradient formula:
[tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of the line
[tex] = \frac{5 - 1}{1 - 4} \\ = - \frac{4}{3} [/tex]
Slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].
What is slope?" Slope is defined as the ratio of difference of the increase in y- coordinates to the difference of increase in x- coordinates."
Formula used
Two coordinates on line
[tex]( x_{1} ,y_{1})\\\\(x_{2}, y_{2})[/tex]
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
According to the question,
Given,
Point on the line
[tex]( x_{1} ,y_{1})= ( 1,5)\\\\(x_{2}, y_{2})= ( 4,1)[/tex]
Substitute the value to get the slope of the line,
Slope = [tex]\frac{1-5}{4-1 }[/tex]
= [tex]\frac{-4}{3}[/tex]
Hence, slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].
Learn more about slope here
https://brainly.com/question/3605446
#SPJ2
PLEASE HELP THIS IS URGENT I AM BEING TIMED!!
Given the following list of data, is 9 the mean, the median, or the mode?
2, 7, 9, 8, 9, 4, 6
Answer:
The mode (number with the highest frequency or number with most appearance)
Answer:
Mode
Step-by-step explanation:
The number that occurs the most is 9.
A car travels on a highway at a constant speed of 67 miles per hour. Which equation and table shows the correct relationship between , the number of hours, and , the distance traveled
Answer:
distance ÷ 67 = how many hours took to ride that much
you can use a normal table that looks like the ones on google when you search up "tables in math"
I'm sorry for this short answer! I'm in a rush but I hope this helped!
What happens when the supply of a nonperishable good is greater than the consumer wants to buy?
A. either the good remains unsold or the price drops
B. the good becomes a luxury and the price rise
C. either the good is saved for later sale or the price is raised
D. the good is discarded
Answer:
A. either the good remains unsold or the price drops
Simplify: (–2x+y)(-58 y)
O 10x10,
10xv2
10xy
10x10 ,
Answer:
Choice C
Step-by-step explanation:
[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]
Hope this helps!
Answer:
10x7 y 4
Step-by-step explanation:
i just answered it
∠AED is a straight angle. Prove: m∠AEB = 45° A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. Angle C E D is a right angle. Complete the paragraph proof. We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the . A bisector cuts the angle measure in half. m∠AEB is 45°.
Answer:
Proved
Step-by-step explanation:
Given:
∠AED is a straight angle. Angle CED is a right angle. Ray EB bisects ∠AEC.To Prove: m∠AEB = 45°
From the diagram, ∠CED is a right angle, which measures 90 degrees.
Since the measure of a straight angle is 180°, the measure of Angle AEC must also be 90° by the Linear Postulate.
A bisector cuts the angle measure in half.
Therefore m∠AEB = 45°.
Answer:
answer below.
Step-by-step explanation:
Please help this is urgent and I am being timed
