Answer:
discriminant= 100, nature of the root= real numbers.
Step-by-step explanation:
discriminant formula: b^2-4ac
-2^2-4(6)(-4)
4+96=100.
Please help! IXL math problem
Answer:
224, 755
Step-by-step explanation:
you first have to find the differnce between 177 and 47 which equals to 133.
so you have to do 94+133
and 885-133
Given that p²,q² are two roots of x²-x+16=0.
Form another equation with roots 1/p,1/q.
Answer:
x² -3/4x +1/4 = 0
Step-by-step explanation:
Consider the two equations in factored and expanded forms:
(x -p²)(x -q²) = x² -(p²+q²)x +p²q² = 0 ⇒ p²+q² = 1, p²q² = 16
and
(x -1/p)(x -1/q) = x² -(1/p+1/q)x +1/(pq) = 0
Consider the squares of the sum and product of roots:
constant term: (1/(pq))² = 1/(p²q²) = 1/16 ⇒ 1/(pq) = √(1/16) = 1/4
x-term: (1/p +1/q)² = (p +q)²/(pq)² = (p² +q² +2pq)/(p²q²)
= (p² +q²)/(p²q²) +2/(pq)
= 1/16 +2/√16 = 9/16 ⇒ (1/p +1/q) = √(9/16) = 3/4
Then the equation with roots 1/p and 1/q is ...
x² -3/4x +1/4 = 0
5x+1=3x+y=-15, what is x?
Answer:
x= -16/5
Step-by-step explanation:
5x+1=-15
solve
5x+1=-15
-1
5x=16
16/5
x= -16/5
A math book at the Victor Valley College bookstore originally cost $84 to purchase. If they sell it for $126, what is the markup rate?
Please help me ASAP!!
Thx
Answer:
8
Step-by-step explanation:
The fraction simplifies to 9 ^5
9^5 x 9^3 = 9^8
Mattie Evans drove 350 miles in the same amount of time that it took a turbopropeller plane to travel 1350 miles. The speed of the plane Has 200 mph faster than
the speed of the car. Find the speed of the plane.
(Simplify )
let
d1 = 250 mi the distance that Mattie Evans drove
v1 = the speed of Mattie Evans
d2 = 1300 mi the distance the plane traveled
v2 = the speed of the plane
The speed of the plane was 190 mph faster than the speed of the car:
v2 = v1 + 190
since time = distance/speed and they both traveled the same time we have
d1/v1 = d2/v2
250/v1 = 1300/v2 cross multiply
250v2 = 1300v1 divid eboth sides by 50
5v2 = 26v1
by solving the system of equations:
v2 = v1 + 190
5v2 = 26v1
we find
v1 = 45.24 mph
v2 = 235.24 mph
If the purchase price for a house is $218,500, what is the monthly payment if you put 3. 5% down for a 30 year loan with a fixed rate of 6. 5%? a. $1,332. 73 b. $1,378. 19 c. $1,247. 54 d. $646. 40.
Answer: A $1,332.73
Step-by-step explanation:
The monthly payment if you put 3. 5% down is a. $1,332. 73.
Down payment=218,500 - (218.500×3.5%)
Down payment=218.500-7,647.5
Down payment=210,852.50
Time = 12×30=360 months
rate=6.5/1,200 = 0.005416667
Using the loan payment formula
Monthly payment = (Rate + [Rate / (((1 + rate)^months) -1)] × Principal
Let plug in the formula
Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] × principal
Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] ×principal
Monthly payment = 0.005416667 + [(0.005416667 / 6.9917988084 -1)] ×210,852.50
Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50
Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50
Monthly payment = (0.005416667 + 0.0009040135) × 210,852.50
Monthly payment = 0.0063206805× 210,852.50
Monthly payment = 1,332.73
Inconclusion the monthly payment if you put 3. 5% down is a. $1,332. 73.
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Find the volume of the sphere.
Answer:
4.19
Step-by-step explanation:
v=4/3(pie x r^3)
v=4/3(pie x 1^3) = 4.18879
v=4.19
0.517 converted into a percent
Answer:
51.7%
Step-by-step explanation:
Because percent is out of 100, you multiply 0.517 by 100 and get 51.7, which is your percent.
9. Find the slope of the line
that passes through the
following pairs of points.
a. (5, 4) and (-4,3)
B. (10, 8) and (9, 13)
Answer:
a]y= 0.11x + 3.44
b]y= 0.11x + 3.44
explanation:
y=mx+b form
Andrew is half his brother's age. Three years ago, the sum of their ages was 24. How old are they each now? Please answer Fast.
Answer:
Andrew 10 and his brother 20 years old
Step-by-step explanation:
three years ago
7 and 17 add up to 24
Hope this helps
Which rule was used to create the input/output?
Answer:
B. y = -4x
Step-by-step explanation:
input x in the possible answers
y = -4x
-4(2) = 8
-4(1) = -4
-4(-3) = 12
-4(-5) = 20
Graph △ABC with vertices A(4,1),B(−2,3), and C(−1,1) and its image after the glide reflection.
Translation: (x,y)→(x+2,y+1)
Reflection: in the x-axis
The reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).
What is reflection?
A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.So, the △A'B'C' is:
△ABC:
A (4,1)B (−2,3)C (−1,1)Now, Translation: (x,y)→(x+2,y+1) (
(x: axis is the line of reflection)
△A'B'C'
A' (6, -2)B' (-4, -4)C' (-3, -2)Therefore, the reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).
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how many cases does he hear per hour?
Answer:
13
Step-by-step explanation:
5 x 2 2/3
= 5 x 8/3 = 40/3 =13 1/3
So it's basically 13 1/3, but its 13.
9. GIVEN: y(x + 1) = 51; y = 3 PROVE: x = 16
Answer:
see explanation
Step-by-step explanation:
y(x + 1) = 51 ← substitute y = 3 into the equation
3(x + 1) = 51 ( divide both sides by 3 )
x + 1 = 17 ( subtract 1 from both sides )
x = 16
Given:
y(x + 1) = 51y = 3What to prove: x = 16
=> y(x + 1) = 51=> 3(x + 1) = 51=> 3x + 3 = 51=> 3x = 51 - 3=> 3x = 48=> x = 16Conclusion:We have now proved that x = 16.
Hoped this helped.
[tex]BrainiacUSer1357[/tex]
#1 need help asap plzzzzzzzzzzzz
Answer:
[tex]n+4<12[/tex]
Step-by-step explanation:
A number would be represented as [tex]n[/tex]
"plus 4" is addition so that would be [tex]n+4[/tex]
fewer and less have the same meaning so that would be a less than sign [tex]<[/tex]
so that's how you get [tex]n+4<12[/tex]
Triangle A has a 50 degree angle and a 25 degree angle. Triangle B has a 50 degree angle and a 105 degree angle. Are the two triangles similar?
Please write a equation for this table
Answer:
y = 5x +2
Step-by-step explanation:
The point (0, 2) tells us the y-intercept is 2.
If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...
6, 30
-2, -10
0, 0
10, 50
We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.
y = 5x +2
Help, please! I need this done for my finals.
Answer:
First one is yes second one is yes 3 one is yes 4 one is yes and first one is a repeating decimal
Step-by-step explanation:
Also sorry if it's wrong but I tried also hope u have a great day!
f(x)=x^2-25. Determine the value of x for the given function formula
Answer:
You can't really determine anything here, as we'd need to know also the value of F(x)! Check again if there misses anything in this question.
Need help please if anyone one can help me now I will like that. Thanks
need help with this question please
(1/5 x 5) to the 5th power =
Answer:
1
Step-by-step explanation:
According to the rule of PEMDAS, we must perform parentheses before exponents.
1/5 x 5 = 1
1 to the power of anything is still 1, so that is the answer.
A high school track team's long jump record is 24 ft 2 1/4 in This year, Hal's best long jump is 23 ft 9 1/2 in If long jumps are measured to the nearest quarter inch, how much farther must hal jump to break the record?
24 ft 2 1/4 inches - 23 ft 9 1/2 inches = 4 3/4 inches.
4 3/4 inches would tie it, so now add 1/4 more inches:
4 3/4 + 1/4 = 5 inches.
He needs to jump 5 inches more.
Which is the last step when creating and analyzing a scatterplot from a table of values?
Plot the ordered pairs of the independent variable and the dependent variable on the coordinate plane.
Draw or obtain a blank coordinate plane.
Identify if there is a relationship between the independent and dependent variables.
Label the axes of the coordinate plane according to the input and output variables.
Answer:
A quadratic equation. ax2 +bx+c=0 has exactly one real solution if ∆=b2-4ac=0. We check the answers. In (A) ∆=1 ; in (B) ∆ =25: in (C) ∆=0; in (D)∆=1 . (C) is the correct answer.
Answer:
C. Identify if there is a relationship between the independent and dependent variables.
Step-by-step explanation:
At the school's holiday craft fair, Juan and his classmates get to make gingerbread houses. Their teacher divides a bag of licorice ropes evenly among the 8 students at the table. Each student gets 4 licorice ropes to decorate the roof of his or her gingerbread house.
Which equation can you use to find the number of licorice ropes r that came in the bag?
To find the number of licorice ropes r that came in the bag, the equation would be r/ 8 = 4.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The teacher divides a bag of licorice ropes evenly among the 8 students at the table.
Each student gets 4 licorice ropes to decorate the roof of his or her gingerbread house.
Let the number of licorice ropes that came in the bag be r.
The total number of students = 8
one student gets the licorice ropes = 4
The equation formed
r/ 8 = 4
r = 32
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The equation to find the number of licorice ropes came in the bag r, is r = 32
The equation to find the total number of licorice ropes, r, that came in the bag, based on the information provided. Each student gets 4 licorice ropes to decorate the roof of their gingerbread house, and there are 8 students.
The total number of licorice ropes can be found by multiplying the number of ropes each student gets (4) by the number of students (8):
Total licorice ropes = Number of ropes per student × Number of students
r = 4 × 8
Simplifying further:
r = 32
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The radius of the front wheel of Brian's bike is 45cm.
Brian goes for a cycle and travels 78.15km.
How many full revolutions did Brian's front wheel complete?
Answer:
Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions.
Step-by-step explanation:
tell me if im wrong.........
AHH HALP
0.333 as a fraction
0.666 as a fraction
0.343434 as a fraction
1.432432 as a fraction
PLZ I NEED IT IN THE NEXT FEW MINS
I WILL GIVE BRAINLIEST TO WHOEVER GIVES THE BEST ANSWER AND THE CORRECT ANSWER
PLEASE GIVE ME AN EXPLANATION AND A CORRECT ANSWER! THANK YOU
(Also sorry for caps, I just really need those answers lol)
Step-by-step explanation:
for the ones with the 1.43, it'll be written as an improper fraction. Let me know if you have questions,I've started it for you now try the rest
0.333 is apoximently 1/3
0.666 is aproximently 2/3
i couldnt find out the others tho s0rry
\Hoped that helped:P
Question 7 high school geometry.
[tex]\huge \bf༆ Answer ༄[/tex]
In the given figure, The marked angles forms a pair of co - interior angles [ because lines l and m are parallel ]
therefore,
[tex] \sf12x - 8 + 104 = 180[/tex][tex] \sf12x + 96 = 180[/tex][tex] \sf12x = 180 - 96[/tex][tex] \sf12x = 84[/tex][tex] \sf x = 84 \div 12[/tex][tex] \sf x = 7[/tex]Hence, the value of x is ~ 7
Pls Help! Which graph A,B or C?
Answer:
Answer=C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Parallel lines hAve no solutions
Option A omittedTwo lines intersection point gives one solution only
Option B omittedOne single line denotes to infinite solutions
Option C is correct
Sarah has 150 marbles. Of the marbles, 2/5 are blue, 3/10 are clear, and the rest are green. What is the ratio of blue marbles to clear marbles to Green marbles in simplest form?
Answer:
4 : 3 : 3
Step-by-step explanation:
2/5 of 150 = 300/5 or 60; therefore, there are 60 blue marbles
3/10 of 150 = 450/10 or 45; therefore, there are 45 clear marbles
150 - (60 + 45) = number of green marbles; there are 45 green marbles
Blue : Clear : Green ratio is 60 : 45 : 45 or 4 : 3 : 3