Answer:C
Step-by-step explanation:
The derivation of the quadratic function is true
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
ax² + bx + c = 0
Step 1 :
ax² + bx + c = 0
Step 2 : Subtracting c on both sides , we get
ax² + bx = -c
Step 3 : Divide by x on both sides , we get
ax + b = -c/x
Hence , the steps are true in solving the quadratic equation
To learn more about quadratic equations click :
https://brainly.com/question/25652857
#SPJ7
What is the solution to 2(x-4)=16
Answer:
x=12
Step-by-step explanation:
Jaxon was asked 40 questions on a test he answered 80% incorrectly how many did he get correct
Answer:
8 correct.
Step-by-step explanation:
80 / 100 = x / 40 (Since he got 80% INCORRECT you will subtract the value of x from 40)
100x = 80 x 40
x = 3200 / 100
x = 32
40 - 32 = 8
My Fav Football team what’s yours? Follow and Like
Answer:
I don't like Football...
Step-by-step explanation:
Answer: My fav is the New York Giants
Step-by-step explanation:
The diameter of a circle is 11 in. Find its area to the nearest tenth.
Answer: 95.033
Step-by-step explanation:
In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?
Answer: The length of JF = 16 units.
Step-by-step explanation:
Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.
i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]
If EJ is 3y-8 and JF is 7y-40.
Then, [tex]3y-8=7y-40[/tex]
[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]
JF= 7(8)-40 =56-40= 16 units
Hence, the length of JF = 16 units.
Answer:
plz giv brainlist
Step-by-step explanation:
14. Write a description of the rule (x,y) (x + 10, y + 8)
a translation 10 units to the right and 8 units up
b. translation 10 units left and 8 units down
c. translation 10 units to the right and 8 units down
d. translation 10 units to the left and 8 units up
Answer:
A
Step-by-step explanation: took the test
A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).
Answer:
A. 61.82°;
15.64°
B. 33.37°
Step-by-step explanation:
A.
✍️Angle of elevation from 15 ft:
A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 15 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]
[tex] tan(\theta) = 1.8667 [/tex]
[tex] \theta = tan^{-1}(1.8667) [/tex]
[tex] \theta = 61.82 [/tex] (2 d.p)
✍️Angle of elevation from 100 ft:
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 100 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]
[tex] tan(\theta) = 0.28 [/tex]
[tex] \theta = tan^{-1}(0.28) [/tex]
[tex] \theta = 15.64 [/tex] (2 d.p)
B.
✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:
Adjacent length = your distance from the screen = x
Opposite length = 22 + 6 = 28 ft
Angle of elevation = 40°
Tge trigonometric ratios formula to use would be:
[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{28}{x} [/tex]
Multiply both sides by x
[tex] x*tan(40) = 28 [/tex]
Divide both sides by tan(40)
[tex] x = \frac{28}{tan(40)} [/tex]
[tex] x = 33.37 [/tex] (2 d.p)
can someone pls help me out
Answer:
1. y=1/5x-1 2/5
2. y=-1/2x+1/2
Step-by-step explanation:
What are the steps on how to copy an angle? (Geometry)
Step-by-step explanation:
Make a point P that will be the vertex of the new angle.
From P, draw a ray PQ. ...
Place the compasses on point A, set to any convenient width.
Draw an arc across both sides of the angle, creating the points J and K as shown.
Hope this helps :)
37x+26=42x+6
someone please help me solve this step by step
Step-by-step explanation:
37x+26=42x+6
x=4
If am wrong sorry
Answer:
x = 4
Step-by-step explanation:
1. Subtract 26 on both equation. (37+26−26=42+6−26)
2. Simplify and Subtract the numbers and repeat. (37=42−20)
3. Subtract 42x on both equation. (37−42=42−20−42)
4. Put together (simplify). (−5=−20)
5. Now divided with -5x. ( −5/−5=−20/−5)
6. Get your answer! (=x4)
~~~Hope this helps~~~
A scale drawing of a rectangle park measures 6 inches long and 2 inches wide. If the scale used for the 3 inches equals 7 yards, what is the actual length of the park?
2(x+y) = 5
How would I solve for x ?
please can someone solve
25 penalties decreased by 32% is __penalties.
Part 5
I have done some of these but I feel unthanked I am going to continue to give pts. These points are for the females because they are strong and smart and good. We men deserve more women like you all. please take these pts. <3
Haha
I appreciate it I guess.
A car travels 54.9 miles in an hour. If the car continues at the same speed for 12 hours, how many miles will it travel? Round to the nearest whole mile. *
Answer:
658.8 so 659
Step-by-step explanation:
A stovetop burner on medium reaches 95°C. Which will also receive a flow of heat directly from the burner
Answer:
The surrounding air
Step-by-step explanation:
Answer:
the surrounding air
Step-by-step explanation:
How much does one slice of pumpkin pie cost if there are 8 servings per pie?
Ingredients
• Pumpkin 15oz can ($1.50 for 15oz can)
2 eggs ($2.59 for one dozen)
• 1 tsp pumpkin pie spice ($5.99 for 1.12oz Jar =
approx.6tsp)
• Evaporated Milk 14oz can ($1.25 for 14oz can)
• Pillsbury Pie Crust ($3.79 for two crusts)
Show Your Work Here:
Answer:
$0.76 per serving of pumpkin pie
Step-by-step explanation:
the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075
if we cut 8 servings per pie, then the cost per serving = total cost of the pie / number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie
We want to find the cost of each slice of a pie given that we know the price of the ingredients that we use to make the whole pie. We will see that the cost of a single slice is $0.75.
First, we must get the cost of the whole pie. We have:
$1.50 for the 15oz can of PumpkinWe know that 12 eggs cost $2.59, then 2 eggs cost: (2/12)*$2.59 = $0.43.We know that 1.12 oz of pie spice costs $5.99, and we use only one teaspoon of this, remember that: 1tsp = 0.167 oz, Then the cost of 1tsp of pie spice is: (0.167 oz)/(1.12 oz)*$5.99 = $0.89.$1.25 for the 14oz can of evaporated milk.One pie crust, we know that two of them cost $3,79, then only one costs: $3.79/2 = $1.90The total cost is then:
C = $1.50 + $0.43 + $0.89 + $1.25 + $1.90 = $5.97
Now we know the total cost of the pie, and it has 8 slices, then each slice costs: $5.97/8 = $0.75
If you want to learn more, you can read: https://brainly.com/question/20005135
please help me fast
I give you 100 point
Answer:
a. 372
b. 708
c. 451
d. 805
e. 965
f. 620
Step-by-step explanation:
Estimate the quotient using compatible numbers.
3,512 ÷ 9
30
400
300
40
Answer:
400. just use simple devision and it'll tell you.
15 5/12 minus 11 1/8 A. 4 7/24 B. 4 7/12 C. -4 1/3 D.-4 7/24
Answer:
A. 4 7/24
Step-by-step explanation:
subtract 15 - 11 which equals 4
then do 5/15 - 1/8 =7/24
Write an equation in slope-intercept form of the line with slope −6/5 that contains the point (−5,3)
Answer:
y=-6/5x-3
Step-by-step explanation:
y-3=-6/5(x+5)
y=-6/5x-3
Julio says, "If you subtract 19 from my number and multiply the difference by - 7, the result is - 28." What is Julio's number?
Julio's number is
Answer:
23
Step-by-step explanation:
Basically I did it backwards & opposites:
-28 divided by -7 = 4
4 + 19 = 23
I checked btw and it worked.
what is the equation shown on this graph?
Answer:
y=1
Step-by-step explanation:
there is no slope therefore dont place it. however there is a Y intercept.
7. The measure of two angles of a quadrilateral are
120 & 40° and the other two angles are equal, the measure of each of equal angles are
100
200°
50°
105
Answer:
200
Step-by-step explanation:
total angle degree of quadrilateral is 360° so 360 - (120+60) = 200
I hope you understand it and sorry if it's wrong
idkidcbutanswer hey heres your brainliest!!! (only idkidcbutanswer will get brainliest on this i owe them)
4-(-4)=?
Answer:
the answer is -8
Step-by-step explanation:
this is because when you subtract four from negative four you add the negative four and it becomes 8 but since it'snegative it would be -8
Answer:
i got 8
Step-by-step explanation:
ur questions range on so many level, ngl
If a line is parallel to y=-6x +3 , what is the slop of that line ?
A.-6
B.3
C.8
D.1/6
Answer:
Step-by-step explanation:
A
The metal that is used to hold stained glass pieces together is called __________. a. cement c. paste b. framing d. leading
Answer:
Paste is the answer if I remember
For each 90 mm of coloured fabric Paul uses to make his curtains, he also uses 10 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
6. Determine the value of x and y in the diagram below.
Show how you determined the value of x and y using Algebra
Answer:
y=43
X=34
Step-by-step explanation:
a) 2y+4=90
2y+4-4=90-4
2y=86. divide 86 by 2 to get y.
b) 3x-11=90
3x-11+11=90+11
3x=101. divide 101 by 3 to get X.
