What is the value of b2 - 4ac for the following equation? 2x2 - 2x - 1 = 0 -4 12 0
Answer:
I think you mean the equation is
[tex]2 {x}^{2} - 2x - 1 = 0[/tex]
And you must find
[tex]delta = {b}^{2} - 4ac = 4 + 8 = 12[/tex]
Graph 8x-2y=1 and 4x+y=3
Answer:
no thanks i dont feel like doing all that work to help u. i apologize my dear friend bahahahahahahahahahahhahaha
Step-by-step explanation:
The position vector of p (relative to the origin) is op = (x, y). if the magnitude of op is 5 units, find the set of all possible values of (x, y), with x, y E z
Answer:
S = {(0, 5), (0, - 5), (3, 4), (3, -4), (-3, 4), (-3, -4), (4, 3), (4, -3), (-4, 3), (-4, -3), (5,0), (-5, 0) }
Step-by-step explanation:
Remember that the distance between two points (a, b) and (c, d) is given by:
[tex]distance = \sqrt{(a - c)^2 + (b - d)^2}[/tex]
So, here we have that the distance between the point (x, y) and the origin, (0, 0) must have a magnitude of 5 units, then we want to solve:
[tex]5 = \sqrt{(x - 0)^2 + (y - 0)^2} \\5 = \sqrt{x^2 + y^2}[/tex]
If we square both sides, we get
[tex]5^2 = (\sqrt{x^2 + y^2} )^2\\25 = x^2 + y^2[/tex]
Now we want to find all the points (x, y) that meet this condition, suc that:
x ∈ Z
y ∈ Z
So both x and y must be integers.
So here we can just play with different values of x and y.
For example, if we define:
x = 0 we get:
25 = 0^2 + y^2
25 = y^2
√25 = y
Then we can have y = 5 or y = -5
from this we got two points:
(0, 5) and (0, - 5)
if x = 1 we have:
25 = 1^2 + y^2
25 - 1 = y^2
24 = y^2
There is no integer such that its square is equal to 24, so we can stop here.
if x = 2 or - 2, we have:
25 = 2^2 + y^2
25 = 4 + y^2
25 -4 = 21 = y^2
Again, there is no integer such that its square is equal to 21, so we can stop here.
if x = +3 or -3, we have:
25 = 3^2 + y^2
25 = 9 + y^2
25 - 9 = 16 = y^2
√16 = y
then we can have y = 4 or y = -4
from this we got four points:
(3, 4)
(-3, 4)
(3, -4)
(-3, -4)
And for symmetry, if x = 4 or -4 we have the points:
(-4, 3)
(4, 3)
(-4, -3)
(4, -3)
finally, again for symmetry, if we take x = 5 or x = -5 we have the points:
(5,0)
(-5, 0)
Concluding, the set of all possible values (x, y) is:
S = {(0, 5), (0, - 5), (3, 4), (3, -4), (-3, 4), (-3, -4), (4, 3), (4, -3), (-4, 3), (-4, -3), (5,0), (-5, 0) }
What is the mean? If the answer is a decimal, round it to the nearest tenth.
-4 1 4 -1
4 -1 -2 -6 3-5
-8
Answer: if its decimal and it wants you to round to next place to the tenths place
Step-by-step explanation: if it means to look at the hundredth's place to find your answer if its bigger than five your second number will add up if its lower than five it stays the same
PLS HELP ASAAPPPP!! will mark brainliest if i can !!
Answer:
2nd option
Step-by-step explanation:
The discriminant b² - 4ac tells us about the nature of the roots
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then the roots are not real
Here b² - 4ac = 15 > 0
Then there are 2 real and distinct roots
x = 2 and x = - 3 are possible solutions to the equation
Answer:
option b) x = 2 and x = -3
Step-by-step explanation:
If discriminant is greater than zero, then the quadratic equation will have two solutions.
If discriminant is equal to zero, then the quadratic equation will have only one solution.
If discriminant is less than zero no solution
Here the discriminant is 15 , which is greater than zero.
Therefore we will have to solutions.
There is only one option with two solutions for x.
So option b is the answer.
I. Tell whether each statement is TRUE or FALSE. Refer to the figure below. Write your answer on the space provided.
Answer:
1. TRUE
2. TRUE
3. TRUE
4. TRUE
5. FALSE
6. TRUE
Step-by-step explanation:
1. From the diagram, we have that m∠2 and m∠7 are alternate interior angles
If m∠2 = 70° and m∠7 = 70°, then we have;
m∠2 = 70° = m∠7
m∠2 = m∠7
Therefore, the alternate interior angles of the lines l₁, and l₂ are equal, and therefore, the lines l₁ and l₂ are parallel, l₁ ║ l₂
TRUE
2. If m∠3 = 90° and m∠7 = 90°, therefore, the angle formed by the intersection of l₃ and l₂ = 90°
Therefore l₃ ⊥ l₂
TRUE
3. m∠5 and m∠7 are corresponding angles
If m∠5 = 85° and m∠7 = 85°, then, m∠5 = m∠7
Therefore, the corresponding angles formed by the lines l₁ and l₂ are equal, therefore;
l₁ ║ l₂
TRUE
4. Whereby we have, m∠1 = m∠5, we get;
m∠1 + m∠5 = 180° by sum of angles on a straight line
∴ m∠1 + m∠5 = m∠1 + m∠1 = 2·m∠1 = 180°
m∠1 = 180°/2 = 90°
∴ m∠1 = 90° = m∠5, and l₃ ⊥ l₁
TRUE
5. m∠1 and m∠8 are alternate exterior angles
If m∠1 = 98° and m∠8 = 82°
∴ m∠1 ≠ m∠8 and l₁ ∦ l₈
FALSE
6. Given that l₁║ l₂, then the angle formed between l₁ and l₃ will be equal to th angle formed between l₂ and l₃
Therefore;
If l₁║ l₂, and l₃ ⊥ l₁, then l₃ ⊥ l₂
(If l₁║ l₂, and l₃ is perpendicular to l₁, then l₃ is also perpendicular to l₂)
TRUE
a. Give a detailed description of the transformation.

Answer:
ig its a translation bc its not rotated, reflected or dilated
Step-by-step explanation:
hope this helps
Bryan and Ryan are buying a car that costs £15000.
Bryan pays a deposit of £2000
Ryan pays a deposit that is 40% more than Bryan’s deposit.
Work out the percentage of the total cost that is left to pay?
Answer:
68%
Step-by-step explanation:
Answer:
68%
Step-by-step explanation:
calculate the two deposits add them and take them away from the total. find the percentage of the remaining.
Help Please with these
Problem 17
Focus on one of the triangles. It has legs of 8 and 15. Use the pythagorean theorem to find the hypotenuse is 17.
Basically you're solving for c in a^2+b^2 = c^2. Use a = 8 and b = 15.
The diameter is 17 and the circumference is
C = pi*d = pi*17 = 17pi
Answer: 17pi==============================================
Problem 18
This figure has four faces, so this is a tetrahedron. The "tetra" is greek that translates to "four".
Another possible name for this figure is triangular pyramid because we have a pyramid with a triangular base.
Answer: Triangular pyramid or tetrahedronMr yates owns a smoothie shop. To mix a batch of his famous orange punch smoothies, he uses 18 ounces of freshly squeezed orange juice. Each day he squeezes 560 ounces of fresh orange juice. How many batches of orange punch smoothies can he make in a day?
Answer:
31 batches
Step-by-step explanation:
Find how many batches of orange punch smoothies he can make by dividing 560 by 18:
560/18
= 31.11
Since we can only have a whole number answer, round down.
So, he can make 31 batches of orange punch smoothies.
Help for branliest
Find h.
9 ft
h = [?] ft
Answer:
h=rt 79
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
[tex]9^{2}[/tex] - [tex]2^{2}[/tex] = [tex]h^{2}[/tex]
81 - 4 = [tex]h^{2}[/tex]
77 = [tex]h^{2}[/tex]
[tex]\sqrt{77}[/tex] = h
Graph the equations y=x-2 and x + y = 6 on the grid provided.
Find the point of intersection.
(I can do the graphing part, I just need the formula for each of the equations...)
Formulas:
y=x-2
y=-1x+6
You'll basically just graph these which you said you can do, and if you don't want to, just input these formulas in Desmos Graphing Calculator, and the point that they intersect is your answer for the point of intersection
Susan buys the items listed below at a grocery store. 2 packages of chicken priced at $13.26 per package 1/2 pound of broccoli priced at $ 1.88 per pound 1 gallon of milk priced at $3.49 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $ 0.05 in change. What amount of money does Susan use to pay for the items?
Answer: $31.00
Step-by-step explanation:
The cost of the items bought will be:
2 packages of chicken priced at $13.26 per package = 2 × $13.26 = $26.52
1/2 pound of broccoli priced at $ 1.88 per pound = 1/2 × $1.88 = $0.94
1 gallon of milk priced at $3.49 per gallons = 1 × $3.49 = $3.49
Since Susan pays for the items and receives $ 0.05 in change, the the amount of money that Susan use to pay for the items will be:
= $26.52 + $0.94 + $3.49 + $0.05
= $31.00
The amount Susan uses in paying is $31.00.
The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months
The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Given the equation:
C = 40n + 210
Where C is the cost of a phone plan for n number of months.
After 2 months; C = 40(2) + 210 = 290
After 12 months; C = 40(12) + 210 = 690
After 24 months; C = 40(24) + 210 = 1170
The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.
Find out more on linear equation at: https://brainly.com/question/14323743
this confusing please help meeeeeeeeeeeeeeeeee
What is the common ratio for this sequence: 4, -16, 64, -256, ...
A. R = - 2
B. R = - 4
C. R = 2
D. R = 4
Answer:
The answer is D I think :)))
Which is the graph of linear inequality 2y > x-2?
Answer:
top line third option with shaded above.
Step-by-step explanation:
it's the third option because it's a
dotted line because it's not included (since it doesn't say greater than or equal to). Also, greater than is shaded above the line.
The third graph is the correct representation of the given inequality.
What are linear inequalities?Linear inequalities are defined as a mathematical expression that compares two expressions using the inequality symbol.
The given inequality is 2y > x-2.
i.e y > (x-2)/2
Since the inequality sign does not contain an equals sign, the line is drawn as a dashed line.
The upper region satisfies the inequality.
Hence, the upper shaded portion with the dashed line is the correct graph for the given inequality.
To learn more about linear inequality, use the link given below:
https://brainly.com/question/11897796
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Witch two ratios represent quantity's that are pro proportional?
9/5 and 19/10
4/6 and 10/16
25/35 and 20/24
15/10 and 21/14
Answer:
15/10 and 21/14
Step-by-step explanation:
Simplify:
9/5 and 19/10
Simplified; not proportional.
Simplify:
4/6 and 10/16
2/3 and 5/8
Simplified; not proportional.
Simplify:
25/35 and 20/24
5/7 and 5/6
Simplified; not proportional.
Simplify:
15/10 and 21/14
3/2 and 3/2
Simplified; proportional.
Which could be the resulting equations when Andre elimates one of the variables?
Answer:
120
Step-by-step explanation:
no nonp
Hydro Sunday in a right triangle the sum of the squares of the leg length is equal to the square of the high-profile tenseness length
Answer: hello your question is vague hence i will provide a more general answer
Area of a right angled triangle = 1/2 * b * h
Step-by-step explanation:
For a right- angled triangle; the sum of squares of the opposite and adjacent sides = square of the longest side ( i.e. hypothenuse )
hence the Area of a right angled triangle = 1/2 * b * h
where : b = adjacent , h = opposite side
Which expression is equivalent to x2 - 17x - 60?
Answer:
(x-20) (x+3)
Step-by-step explanation:
x^2 - 17x - 60
What two numbers multiply to -60 and add to -17
-20 * 3 = -60
-20 +3 = -17
(x-20) (x+3)
Answer:
option A is correct
Step-by-step explanation:
x^2 - 17 - 60
using middle term break method
x^2 - (20 - 3)x - 60
x^2 - 20x + 3x - 60
x(x - 20) + 3(x - 20)
(x + 3)(x - 20)
Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.
Given:
y is directly proportional to x.
[tex]y=30[/tex] when [tex]x=5[/tex]
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
We have, [tex]y=30[/tex] when [tex]x=5[/tex]. Substituting these values in (i), we get
[tex]30=k(5)[/tex]
Divide both sides by 5.
[tex]\dfrac{30}{5}=k[/tex]
[tex]6=k[/tex]
Substituting [tex]k=6[/tex] in (i), we get
[tex]y=6x[/tex]
Therefore, the required equation is [tex]y=6x[/tex].
12. In the diagram below…
What is the length of CB?
1) 3.2
2) 4.8
3) 16.2
4) 19.2
Randy ate 29 crackers in 4 minutes. At what RATE did Randy eat?
Answer:
7 1/4 cookies per minute
Step-by-step explanation:
29/4 = 7 1/4
Answer:
7.25
Step-by-step explanation:
29/4
Divide. Express your answer in simplest form.
10/11 ÷ 2/3
Answer:
[tex]1\frac{4}{11}[/tex]
Step-by-step explanation:
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: \frac{15}{11} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➺[tex] \frac{10}{11} \div \frac{2}{3} [/tex]
➺[tex] \: \frac{10}{11} \times \frac{3}{2} [/tex]
➺[tex] \: \frac{10 \times 3}{11 \times 2} [/tex]
➺[tex] \: \frac{30}{22} [/tex]
➺[tex] \: \frac{15}{11} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Elizabeth ships a gift through the mail. The gift weighs 8 pounds 11 ounces. She packs the gift in a shipping box with bubble wrap. The package weighs 12 pounds 4 ounces. How much does the shipping box and bubble wrap weigh?
Answer:
3lbs 9 ounces
Step-by-step explanation:
16 ounces in a pound
9514 1404 393
Answer:
3 lb 9 oz
Step-by-step explanation:
Sometimes, addition is easier than subtraction when it comes to finding the difference.
There are 16 ounces in a pound.
8 lb 11 oz + 5 oz = 9 lb
9 lb + 3 lb 4 oz = 12 lb 4 oz
To get from 8 lb 11 oz to 12 lb 4 oz, we have added ...
5 oz + 3 lb 4 oz
= 3 lb 9 oz . . . . weight of packing materials
__
Or, you can do the subtraction in the usual way.
total weight = gift weight + packing weight
packing weight = total weight - gift weight
= (12 lb 4 oz) - (8 lb 11 oz)
= (12 lb -8 lb) + (4 oz -11 oz)
= 4 lb - 7 oz
packing weight = 3 lb 9 oz
The original price of a computer was reduced by 225 dollars. The new discounter price is 1274 dollars.
Answer:
1499
Step-by-step explanation:
Given that :
New discounted price = 1274
Let original price = p
Reduction in original price = 225
Original price is the sum of the reduction and the new discounted price
The Original price = Reduction in original price + new discounted price
P = 225 + 1274
P = 1499
Gretchen make a paper cone to hold a gift for a friend the paper cone was 10 inches high and had a radius of 4 inches find the volume of the paper cone to the nearest tenth use 3.14 for pi
Answer: [tex]167.5\ in.^3[/tex]
Step-by-step explanation:
Given
Height of paper cone [tex]h=10\ in.[/tex]
Radius of cone [tex]r=4\ in.[/tex]
The volume of the cone is given by
[tex]\Rightarrow V=\dfrac{1}{3}\pi r^2h[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 4^2\times 10\\\\\Rightarrow V=167.5\ in.^3[/tex]
Thus, the volume of the cone is [tex]167.5\ in.^3[/tex]
if you horizontally shift the square root parent function f(x)=√x left two units what is the equation of the new function
Answer:
[tex] \sqrt{x + 2} [/tex]
If you horizontally shift the square root parent function f(x)=√x left two units the equation of the new function is: g(x) = √(x + 2).
What is horizontal shift?A horizontal shift is a function transformation that shifts a graph to the left or right without changing its shape.
If we want to shift the square root parent function f(x) = √x two units to the left, we must replace the argument x with (x + 2), because a positive value of x + 2 gives us the same x value two units to the left.
So the equation of the new function is:
g(x) = √(x + 2)
This new function is the square root function shifted two units to the left. For any given input value of x, we add 2 to it before taking the square root. This causes the graph to shift horizontally to the left by two units.
Thus, g(x) = √(x + 2) will be the new function.
For more details regarding horizontal shift, visit:
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The scatter plot below represents the amount of dog food a brand recommends
based on the weight of the dog.
Amount of Food per Day cups
20
40
60
No
100
Weight of Dog (b)
Which best describes the type of association shown in this scatter plot?
A
No association
B Nonlinear association
C Positive linear association
D Negative linear association
Answer:
positive linear association
Step-by-step explanation:
the slope is positive so the linear association is also positive and linear mean generaly in a line not on a curve like a nonlinear assciation.