Solving Quadratic Equations
Directions: Solve the following quadratic equations using the quadratic formula. Show your work
and all answers must be in simplest radical form.
I
a. x2 - 2x - 15 =0
b. x2 + 8x - 10 =0
Answers
Answer:
a) x= 5 or x= -3
b) x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]
Step-by-step explanation:
a) [tex]x^{2}[/tex] - 2x - 15 =0
x = [tex]\frac{-(-2) +\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex] or [tex]\frac{-(-2) -\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex]
x= 5 or x=-3
b) [tex]x^{2}[/tex] + 8x - 10 =0
x = [tex]\frac{-(8) +\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex] or [tex]\frac{-(8) -\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex]
x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]
Related Questions
Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3
Answers
Answer:
8
-4x+6(6-2x) = -7x - 36
-4x+36-12x = -7x-36
-16x+36 = -7x-36
-16x +7x = -36-36
-9x = -72
x = 72/9
x = 8
A house painter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
A. 30:54
B. 6:10
C. 10:45
D. 27:15
Answers
if MN=NQ and MQ=QR=RP, calculate for x
Answers
Answer:
C. 18°Step-by-step explanation:
Refer to attached diagramGiven MN = NQ MQ = QR = RPNMR = 3xQMR = xTo findValue of xSolutionMN = NQ ⇒ ∠MRN = ∠QMN = 3x+x = 4xMQ = QR ⇒ ∠MRQ = ∠QMR = xRQP is exterior angle of ΔMQR ⇒
∠RQP = x + x = 2xQR = RP ⇒
∠RPQ = ∠RQP = 2x∠QRN is exterior angle of ΔQRP ⇒
∠QRN = 2x + 2x = 4x∠MRN = ∠QRN - ∠QRM = 4x - x = 3x∠MRN = ∠NMR = 3x ⇒
NR = MQNR = MQ ⇒
∠NQR = ∠QRN = 4xWe now have a straight angle MQP:
∠MQP = ∠MQN + ∠RQN + ∠RQP180° = 4x + 4x + 2x10x = 180°x = 18°Correct choice is C
I need some help. Can someone assist me with this?
Answers
Answer:
x = 12
WN = 28
Step-by-step explanation:
SO = WN and SO = 2WI
3x - 8 = 2(x + 2)
3x - 8 = 2x + 4
3x - 2x = 4 + 8
x = 12 now replace x with 12 in the first equation given
3x - 8 = 3×12 - 8
36 - 8 = 28
What value of x satisfies this equation, x2−12=13?
Answers
Answer:x=5 and x=-5
Step-by-step explanation:
PLEASE I ACTUALLY NEED HELP ;(
Answers
Answer:
[tex]\sqrt{18x^4y}[/tex]Step-by-step explanation:
3x²[tex]\sqrt{2y}[/tex] = [tex]\sqrt{(3x^2)^22y}[/tex] =[tex]\sqrt{18x^4y}[/tex]Answer:
√{18x⁴y}=√?
?=18x⁴y is your answer
Can someone please solve this it's very important thank you
Answers
Rank the following in order from most precise to least precise.
1500 grams
8.43 inches
1580 meters
5.426 seconds
Answers
Answer:
1st most = 8.43 inches
2nd most = 5,426 Seconds
3rd most = 1580 meters
4th most = 1500 grams
Step-by-step explanation:
8.43 inches = 0.7025 feet is most precise as it rounded to 0.7 feet it wouldn't be precise enough.
5,426 Seconds = 01:30:26. hrs mins sec can be converted.
1580 meters = 1.58 km = 158000cm hasn't been properly converted as zeros get lost.
1500 grams = 1.5kg hasn't been precisely converted as zeros get lost.
Solving the equation -5x = 4y + 8 for y gives
Answers
Answer:
y= -2-5/4x
x= -4/5y-8/5
Step-by-step explanation:
i hope this helps :)
Which statement about the two triangles is correct?
Answers
Answer:
The second choice
Step-by-step explanation:
i dunno how to explain it
What is 16% of 80?
PLEASE DO NOT SOLVE, I KNOW THE ANSWER IS 12.8. JUST WRITE A PROPORTION ON HOW YOU GET THE ANSWER
Answers
Answer:
12.8
Step-by-step explanation:
(16÷100)×80 = 12.8
Mrs. Vargas went to lunch, and the bill was $28 for the meal. How much will the tip be if she wants to leave a 15% tip?
Explain
Answers
Answer:
Step-by-step explanation:
Percent means per one hundred, so to leave a 15% tip
28(15/100)=$4.20
The tip will be $4.20
miguel is selling candy bars for a school fundraiser. if all candy bars habe the same cost and 2 candy bars costs $5 complete the ratio
Answers
Answer:
if 2 candies cost $5;
then 1 candy will cost $2.5
therefore, the ratio is 1:2
Find the perimeter of the rectangle
Answers
Answer:
86 inches
Step-by-step explanation:
16+16+27+27=
Answer:
the perimeter equals 86 ft
Step-by-step explanation:
perimeter = l + w + l + w or 2(l + w)
2(27 + 16)
27 + 16 = 43
43 * 2 = 86
The area of a trapezoid is 60 square feet the bases of the trapezoid are 8 feet and 12 feet, what is the height?
6ft
4ft
3ft
15ft
Answers
2) A circle has an area of 121 ñ cm. Find its circumference. (Round your answer to the
nearest tenth.).
Answers
Answer:
If the area is 121 cm the answer is 38.99 if its 12 cm then the answer is 12.28
Step-by-step explanation:
Im not sure if correct but i tried
How much interest does a $407 investment earn at 6% over seven years?
Answers
Answer:
$204.98
Step-by-step explanation:
407(1+0.06)^7
611.98
611.98-407
204.98
So it made $204.98
Hope this helps
can you help me find the slope of these queastions?
Answers
Answer:
1. B
2. A
3. I
4. I
These should be correct
suppose the income tax rate is 4% determine the amount of money remaining after paying income tax on an income of $20,000
Answers
Answer:
$19200
Step-by-step explanation:
20,000*0.96=19200
a silo is a building shaped like a cylinder used to store grain the diameter of a particular silo is 6.5 meters and the height of the silo is 12 meters
Answers
Answer:
V=pi(3.25)^2(12)
Step-by-step explanation:
The “pi” is an actual sign
Forty-five of the 80 students walk to school. What is the ratio of
students who walk to school to students who do not walk to school?
Answers
Answer:
35/80
Step-by-step explanation:
just subtract 45 from 80 and that gives you the amount of students who do not walk to school.
Answer: 56.25 to 43.75
Step-by-step explanation: who walked/total to who didn't walk/total
If your running a race and you passed the person in second place what place would you be in now?
Answers
Answer:
the answer is first place
Answer:
Second place
Step-by-step explanation:
Because that person was in SECOND PLACE and you were behind them, you two switched because you got ahead of them, but you are NOT in FIRST place, because there is still one person in front of you. Good luck!
5y + 3y + 5 ≤ ‐2(2y + 4) ( pls show work)
Answers
Answer:
y<-13/12
Step-by-step explanation:
12y<-8-5
12y<-13
Oliver lives in a state with no state income tax. He pays $180 in payroll tax each week. If the federal income tax is 0.75 of the payroll tax, how much are the other taxes?
Answers
Answer:
The other taxes are $135.
Step-by-step explanation:
From the information provided, you know that Oliver pays $180 in payroll tax and that the federal income tax is 0.75 of the payroll tax, so in order to find how much are the other taxes you have to calculate the 0.75 of the payroll tax Oliver pays:
180*0.75=135
According to this, the answer is that the other taxes are $135.
Why is this question stumping everyone i meet.
Answers
Answer:
i dont know anything about simplest radical form but this is the length 17.32051
Step-by-step explanation:
I need number 1 and 2 and 3 and 4 pleaseeeeer
Answers
Answer:
this is a test im not helping
Step-by-step explanation:
Find the measures of the numbered angles in the kite.
Answers
Answer:
1 is 90
2 is 52
Step-by-step explanation:
1 is a right angle so its 90
for 2 angles in a triangle equal to 180
so 180-90-38 is equal to 52
WHAT IS THISSSSSSSSSSSSS
Answers
Answer:
1 is to 2
Ie
1/2
Step-by-step explanation:
hope it helps
Answer:
2 to 1
which equals 2
Step-by-step explanation:
if you look at point B (2,1) and B’ (4,2)
we can see that each value is multiplied by 2
Directions: Foil the following if the answer is not standard form then standardize it.
Equation: (x+4) (4x−5)
Answers
4x^2+11x-20
(the “^2” is the tiny 2 lol)
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
IF YOU SEND ONE MORE LINK AGAIN I WILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
What is your question
Step-by-step explanation:
I do not see a question
Answer:
where is the question at?
Step-by-step explanation: I don'tsee it