If, a quadratic equation in the form of ax+ bx + c = 0 has a discriminant
value of 32, then it will have 2 real, rational solutions.
true or false
Answer:
True
Step-by-step explanation:
The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).
A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150
Answer:
A
Step-by-step explanation:
y = -3x + 150
I hope this is right.
In the diagram below of triangle MNPMNP, QQ is a midpoint of \overline{MN}
MN
and RR is a midpoint of \overline{NP}
NP
. If QR=11-xQR=11−x, and MP=57-7xMP=57−7x, what is the measure of MPMP?
Answer:
Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.
The length of QR is 4x -11 and the length of MP is 9x - 29.
We need to determine the measure of MP.
Value of x:
The value of x can be determined using the triangle midsegment theore
Applying the theorem, we have;
Substituting the lengths, we get;
Subtracting both sides by 8x, we have;
Adding both sides of the equation by 29, we get;Thus, the value of x is 7.
Measure of MP:
The measure of MP can be determined by substituting x = 7 in the length of MP.
Thus, we have;
Thus, the measure of MP is 34.
A satellite orbiting Earth has a period of 21 hours when its average distance is 3.8 × 107 m. Find the orbital period of a satellite when the average distance is 5.1 × 107 m. Use the law stating that the square of the time of orbit varies directly with the average radius cubed.
Answer:
hertygvgjsagjkefhuufcbfssdvmyjkixewd
Is this correct? I’m too tired and confused to understand this..
Answer:
yes
Step-by-step explanation:
I think ur right because ur smart :)
Answer:
yeah lol
Step-by-step explanation:
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
х f(x)
-1 -5
0 -1
1 3
g(x)
g(x) = 2x - 7
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
(6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Finding the slope of f(x)
Given the table of the function f(x)
x f(x)
-1 -5
0 -1
1 3
Finding the slope using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of the function f(x) = 4
Finding the slope of g(x)
We know the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the function
[tex]g(x) = 2x-7[/tex]
comparing with the slope-intercept form
y = mx+b
The slope of the function g(x) = 2
Thus, we conclude that:
The slope of the function f(x) = 4The slope of the function g(x) = 2Hence, the slope of f(x) is greater.
Part b)
Finding the y-intercept form of f(x)
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
From the table,
It is clear at x = 0, y = -1
Hence, the y-intercept of the function f(x) = -1
Finding the y-intercept form of g(x)
Given the function
[tex]g(x) = 2x - 7[/tex]
comparing with the slope-intercept form (y = mx+b)
[tex]y = mx+b[/tex]
where b is the y-intercept
Hence, the y-intercept of g(x) = b = -7
Thus, we conclude that:
The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7Hence, the y-intercept of f(x) is greater.
To meet peak energy demand, an electric power cooperative buys back electricity generated locally. They pay #0.07 per solar-powered kWh (kilowatt-hour). How much money does a school make when it sells back 956 kWh to the cooperative?
Answer: #66.92
Step-by-step explanation:
Since the cooperative pays pay #0.07 per solar-powered kWh (kilowatt-hour), the amount that the school would make when it sells back 956 kWh to the cooperative would be calculated as:
= #0.07 × 956 kWh
= #66.92
Heather purchased a sapphire bracelet during the Jewelry Emporium's Semi-Annual Clearance Sale. If Heather paid $149.50 for the bracelet and the original price is $230.00, how much of a discount did she receive?
A.
35%
B.
30%
C.
45%
D.
65%
She received a 35% discount (A).
PLEASE HELP !!!!!!!!!!!!!! WILL MARK BRIANLIEST CORRECT ANSWER !!!!!!!!!!!!
Answer: c=(220)^1/2
^1/2 is the square root
Step-by-step explanation:
c^2=a^2+b^2
c^2=14^2+(24^1/2)^2
c^2=196 +24
c^2=220
c=(220)^1/2
Help ASAP. Solve both
Step-by-step explanation:
question 15
For y to be parallel to z the sum of given angles must be equal to 180°
3x + 7 + 10x - 22 = 180° add like terms
13x - 15 = 180 add 15 to both sides
13x = 195 divide both sides by 13
x = 15
question 16
If y is parallel to z then the given angles are alternate exterior and has same measurement
11x - 3 = 4x + 39
11x - 4x = 39 + 3
7x = 42 divide both sides by 7
x = 6
which expression is equivalent to 15+3x?
Answer:
There are no pictures
Step-by-step explanation:
Show a picture and I will help you.
The Expression Equivalent to 15+ 3x is 3(5+x).
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression as,
15 + 3x
1. 3(5+ x)
Using Distributive property
15 + 3x
2. 5(3 +x)
Using Distributive property
15 + 5x
3. 3(5+ 3x)
Using Distributive property
15 + 9x
4. 5(3 + 3x)
Using Distributive property
15 + 15x
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
At the beginning of the month, Kimberly had $65.78. Since then, she has received three payments of $32.50 from her babysitting job. Kimberly’s 2 sisters each helped her babysit once during the month, so Kimberly paid them each $8.75.
If Kimberly did not spend any money, how much money does she have now? Enter your answer in the box
Answer:
she have 23.75 left
Step-by-step explanation:
Answer:
145.8$Step-by-step explanation:
32.5$ multiplied by 3 =97.5%
she received 65.78. add those together and you get 163.28$
subtract 8.75 twice and you get 145.8$
Which of the following equations is equivalent to 4x -y=3`?
Answer:
x-intercept = (3/4,0)
y'intercept = (0,-3)
Step-by-step explanation:
Not sure what conversion you need but here are the intercepts
purchase furniture of rs.50000 at 10% discount (accounting equation
Answer:
5000
Step-by-step explanation:
50000 / 10= 5000
Cost of the furniture of 50000 rupees with 10% discount is 45000 rupees
What is Discount?A deduction from the usual cost of something
Here Cost of the furniture = 50000 rupees
Discount = 10%
Then the discount price is = total cost × 10%
[tex]50000(\frac{10}{100})=5000[/tex] rupees
Then the purchased amount = Total price - Discount
[tex]50000-5000=45000[/tex] rupees
Hence, the purchased price is 45000 rupees
Learn more about Discount here
https://brainly.com/question/3541148
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Rewrite y - 3 = 4(x + 2) in slope intercept form. Type in your answer without using any spaces. Example: y=-3/4x+12
Answer:
y=4x+11
Step-by-step explanation:
Answer:
y=4x+11
Step-by-step explanation:
y - 3 = 4(x + 2)
=
y - 3 =4x + 8
=
y - 3 (+3) = 4x + 8 (+3)
=
y=4x+11
what is 140 divided by 8
Answer:
17.5
Step-by-step explanation:
Answer:
17.5 is your answer
Step-by-step explanation:
140/8
17.5
Hope this helps?
if dan was 4 years old 18 years ago, how old will he be 16 years from now?
Answer:
4+18 = 22 thats now in 16 years would be 38 years old
Step-by-step explanation:
Plz help fast answer
Answer:
1: Patriotic
2: Global
3: Graphic
4:heroic
5: betrayel
6:angelic
7: dramatic
8: bacterial
Step-by-step explanation:
I think this is it
(04.07A) Two quantities are related, as shown in the table below: x y 2 10 4 9 6 8 8 7 Which equation best represents the relationship? y = 1 over 2x + 11 y = negative 1 over 2x + 11 y = 2x + 10 y = 2x + 11
Answer:
y = negative 1 over 2x + 11
Step-by-step explanation:
I know this because I had the same test as you and that is what I put and I got it right.
Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v = 19.6h. If an object is
dropped from a height of 35.9 meters, with what velocity does it hit the ground?
Round your answer to the nearest tenth.
Answer:
The object hits the ground with a velocity of 703.6 m/s.
Step-by-step explanation:
Evaluating Functions
The function that relates the velocity v in meters by second with the height h in meters an object was dropped from is:
v = 19.6h
We are required to evaluate the function above if we know the object was dropped from a height of h=35.9 meters.
Substituting in the equation:
v = 19.6*35.9
v = 703.64 m/s
Rounding to the nearest tenth:
The object hits the ground with a velocity of 703.6 m/s.
Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?
Answer:
$460.
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]
So the price yesterday was $460
Simplify.
3/4−4x+1/2x−1/2+1/2x
Enter your answer in the box.
Answer:
3(1−10x)43(1-10x)4
Step-by-step explanation:
34−4x+12x−212x34-4x+12x-212x
Simplify each term.
Combine 1212 and xx.
34−4x+x2−212x34-4x+x2-212x
Multiply the numerator by the reciprocal of the denominator.
34−4x+x2−(2(2x))34-4x+x2-(2(2x))
Multiply 22 by 22.
34−4x+x2−(4x)34-4x+x2-(4x)
Multiply 44 by −1-1.
34−4x+x2−4x34-4x+x2-4x
Find the common denominator.
Write −4x-4x as a fraction with denominator 11.
34+−4x1+x2−4x34+-4x1+x2-4x
Multiply −4x1-4x1 by 4444.
34+−4x1⋅44+x2−4x34+-4x1⋅44+x2-4x
Multiply −4x1-4x1 and 4444.
34+
Answer:
-3x + ¼
Step-by-step explanation:
Follow Me Please ...
Ariana is a songwriter who collects royalties
Answer:
Y e s
Step-by-step explanation:
N o ?
I d r k
Answer:
Whenever they are played in a commercial or a movie
Step-by-step explanation: oyriuqewyfuqasyerdb8o7iu
What is the value of X I’ll give brainlist please someone help me
Answer:
69.333 or 208/3
Question 18
1 pts
If JKLM is an isosceles trapezoid, solve for x.
(8x – 23)
(6x + 11)°
M
L
HELPPP
Answer:
Step-by-step explanation:
J and K are equal
8x - 23 = 6x + 11 Add 23 to both sides
8x = 6x + 11 + 23 Combine the right
8x = 6x + 34 Subtract 6x from both sides
8x - 6x = 34 Combine the left
2x = 34 Divide by 2
x = 34/2
x = 17
=================================
M and L are both supplementary to J and K respectively.
J = 8x - 23
J = 8*17 - 23
J = 136-23
J = 113
K = 113
===================================
M + 113 = 180
M = 180 - 113
M = 67
L = 67
What slope would make the lines
parallel?
y = -3x + 9
y = [?]x + 4
Answer:
- 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 9 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + 4 ← is the equation of a parallel line
For the picture I think you can zoom in to see it more clearly.
Answer:
y=15x
Step-by-step explanation:
YEPP PRETTY CONFIDENT IN THE ANSWER
9514 1404 393
Answer:
s = 15w
Step-by-step explanation:
The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.
The equation asked for is ...
s = 15w
Find the perimeter of the triangle.
Answer:
39
Step-by-step explanation:
Alll the sides equal each other because of that curve u see at each angle, that curve means that the angles are the same, having the same angles means same sides, so just pick two equations to do this:
21 - x = 2x -3
add 3 to both sides
24 - x = 2x
add x to both sides
24 = 3x
divide by 3
8 = x
Now input 7 into the equations:
21 - x = 21 - 8 = 13
2(8) - 3 = 16 - 3 = 13
x + 5 = 8 + 5 = 13
Now add: 13 + 13 + 13 = 26 + 13 = 39
Another way for u to save time is remember how i said all the sides were the same? you could just solve one equation, so it'll be 13 and multiply that with 3 to get the perimeter since ur adding 13 three times anyway
So just a simple: 13(3) = 39
What is the sum of the complex numbers 3 − 4i and 5 + 3i ?
Answer:
8 - i
General Formulas and Concepts:
Algebra I
Combining Like TermsAlgebra II
Standard Form: a + biStep-by-step explanation:
Step 1: Define
(3 - 4i) + (5 + 3i)
Step 2: Simplify
Combine like terms (Z): 8 - 4i + 3iCombine like terms (i): 8 - iHelp?????????? Please
Answer: 2 cups of water to 8 cups of flour
Step-by-step explanation:
Answer:
2 cups of water to 8 cups of flour
Step-by-step explanation: