Answers
Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
Related Questions
help quickly pls area of a triangle: sine formula
Answers
Answer:
If you were to use the sine formula you would have to use the cosine formula to get one of the opposite sides and then use the sine formula.
For the area why not use 1/2 * 20 to get the base.
Then the height would be 24 * sin 63 = 21.38
That would give an area of 213.8
determine the equation of the circle graphed below .
( help please )
Answers
Answer:
(x + 5)² + (y - 4)² = 17
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 5, 4 ) , then
(x - (- 5) )² + (y - 4)² = r² , that is
(x + 5)² + (y - 4)² = r²
r is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 1, 5)
r = [tex]\sqrt{(-1+5)^2+(5-4)^2}[/tex]
= [tex]\sqrt{4^2+1^2}[/tex]
= [tex]\sqrt{16+1}[/tex]
= [tex]\sqrt{17}[/tex] ⇒ r² = ([tex]\sqrt{17}[/tex] )² = 17
Then
(x + 5)² + (y - 4)² = 17 ← equation of circle
Answer:
x² + y² + 10x - 8y + 24 = 0
Step-by-step explanation:
equation of a circle :-
equation of a circle :-(x - h)² + (y - k)² = r²
(h, k) is the center of the circle R is the radius of the circlefor this circle :-
h = -5k = 4R = ?finding radius of the circle
we've been given a point ( -1, 5) that lies on the circle and hence should satisfy the equation of the circle
putting x = -1 and y = 5
=> (-1 - (-5))² + (5 - 4)² = r²
=> (-1 + 5)² + 1² = r²
=> 4² + 1 = r²
=> 17 = r²
[tex] = > r = \sqrt{17} [/tex]
the radius if the circle is √17 units
__________________________________
finding the equation of the circle
=> (x + 5)² + (y - 4)² = (√17)²
=> x² + 25 + 10x + y² + 16 - 8y = 17
as for any two variables a and b, (a + b)² = a² + b² + 2ab=> x² + y² + 10x - 8y + 24 = 0
You buy a patty for $200 and pay 16% in tax (G.C.T). How much is money was paid to the cashier?
Answers
Answer:
$232
Step-by-step explanation:
Add 16% to 100% then multiply by 200
Write an equation in polnt-slope form for the line that passes through the glven
polnt with the slope provided.
(2.-1), m= -3
Answers
Answer:
(y+1) = -3(x-2)
Step-by-step explanation:
y-y₁=m(x-x₁)
notice the negatives in the formula.
this changes coordinates. the positives to negative and negatives to positives
A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is
1. -9
2. -1
3. 8
4. 15
Answers
3. 8
Hpta me están poniendo a escribir mucho men
The value of a₄ is -9
What is recursively defined sequence?Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.
In this given problem
a₁ = 5
given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7
using this relation
take n=1
a₂ = 2a₁-7 =(2*5)-7=3
then by taking n=2
a₃ = 2a₂-7 =(2*3)-7=-1
then taking n=3
a₄= 2a₃-7 =(2*(-1))-7= -9
so the final answer will be a₄ = -9
learn more about Recursively defined sequence
Here: https://brainly.com/question/1480398
#SPJ2
Kim's class voted on a location for a field trip. 3/4 of the class voted for the museum and 1/8 of the class voted for the zoo. The rest of the class voted for the nature park. What fraction of the class voted for the nature park?
Answers
Answer:
1/8
Step-by-step explanation:
3/4=6/8
6/8+1/8=7/8
1-7/8=1/8
can someone please help me :(
Answers
Answer:
1.5 square miles
Step-by-step explanation:
First divide 1 by 0.5 which is 2. that means you also divide 3 by 2 which is 1.5.
Find the Area of the shape
(Area of Composite Shapes)
Answers
Answer:
130 inches
Step-by-step explanation:
Area = Length · Width
Solve for the Right Triangle
6 · 11 = 66 inches
Area = Length · Width
Solve for the square
Since the width isn't fully given, we must add 5 + 3 = 8 inches
5 · 8 = 40 inches
Area = Length · Width
Solve for the Rectangle
8 · 3 = 24 inches
Now add the results: 66 + 40 + 24 = 130 in^2
Answer:
the naswer is 10
Step-by-step explanation:
Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period.
Alexa’s Graph
A graph has time (minutes) on the x-axis and Distance traveled (miles) on the y-axis. A line goes through points (4, 3) and (8, 6).
Mia’s Table
A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 10, 18, 20, 26. Column 2 is labeled Distance Traveled (miles) with entries 5, 9, 10, 13.
Answers
Answer:
A
Step-by-step explanation:
i got it right
Answer:
A
Step-by-step explanation:
I need some Help please!
Answers
Answer:
1) observational
2) sample
3) experiment
Answer:
1 no is observational
Step-by-step explanation:
2 no is sample
3 no is experiment
D) Sum of the two adjacent angles is 140°. If the second angle is 7 less than six times the first angle, find the two angles. (2 Marks)
Answers
Answer:
FIRST ANGLE = 21 degree
SECOND ANGLE = 119 degree
Step-by-step explanation:
140 = 6x - 7 + x
140 = 7x - 7
combine like terms
140 + 7 = 7x
147 = 7x
x = 21
second angle = 6(21) - 7 = 119
A number cube is rolled once. What is the probability of rolling a three
Answers
Answer:
1/6
Step-by-step explanation:
A dies has six sides
1,2,3,4,5,6
There is 1 three
P(3) = number of threes/ total numbers
= 1 / 6
5x−x can u give me the anwser
Answers
Answer:
4x
Step-by-step explanation:
5x - x is simply
5x - 1x = 4x
Another way to think about it:
5x = 5 * x
5(x) - 1(x) = 4(x) = 4x
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
4x
Step-by-step explanation:
I need help i'm struggling with this work!
Answers
Answer:
Domain: x is greater than or equal to 0
Range: y is greater than or equal to -5
So the answer for domain is e.
And the answer for range is a.
You began a shopping spree with $70 in your checking account. You bought a pair of headphones for $19.95. Then, you bought five pairs of shorts for $10.50 each. Then, you went to the bank and deposited a $105 check into your checking account. What is your account balance?
Answers
Answer:
$102.55
Step-by-step explanation:
70 - 19.95 - (10.50 X 5) + 105 = 102.55
Find an equation of a line that is parallel to 2x+3y=6 and passes through the point (4, 4)
Answers
Answer:
Answer:
Step-by-step explanation:
Slope of a line 2x+3y=6 is -2/3
So line passing through (0,4) has same slope because both are parallel
From slope intercept form we have
Y-y1 =m(x-1)
Y-4= -2/3(x-0)
3Y-12 = -2x
3Y+2x = 12
Which is required equation of a line.
Step-by-step explanation:
Answer:
y = -2/3x + 20/3
Step-by-step explanation:
2x + 3y = 6
3y = -2x + 6
y = -2/3x + 2
y = -2/3x + b
4 = -2/3(4) + b
4 = -8/3 + b
20/3 = b
Please someone help!
Thanks!
Answers
Answer:
1 1/2y-5
Step-by-step explanation:
Simplify.
-1/2(-3y+10)
Use distributive property to multilpy -1/2 by -3y and -1/2 by 10.
=1 1/2y - 5
Answer:
[tex]1.5x-5[/tex]
Step-by-step explanation:
When given the following problem,
[tex]-\frac{1}{2}(-3x+10)[/tex]
Distribute, multiply every term inside the parenthesis by the term outside of the parenthesis,
[tex]=(-\frac{1}{2})(-3x)+(-\frac{1}{2})(10)[/tex]
Now simplify the expression, remember, negative times negative is positive,
[tex]=\frac{3}{2}x-5[/tex]
Rewrite as a decimal; remember ([tex]\frac{1}{2}[/tex]) is equivalent to ([tex]0.5[/tex]). Therefore ([tex]\frac{3}{2}[/tex]) equals ([tex]1.5[/tex]). Apply this here to rewrite the expression as a decimal,
[tex]1.5x-5[/tex]
please help will give brainlist!
Answers
Answer:
[tex]b=\frac{1}{6}[/tex]
Step-by-step explanation:
In [tex]f(x)=a\cos(b(x-c))+d[/tex], [tex]b[/tex] represents a constant related to the period of the function. Here's how it's related:
[tex]b=\frac{2\pi}{T}[/tex], where [tex]T[/tex] is the period of the function.
We're given [tex]T=12\pi[/tex], so solving for [tex]b[/tex]:
[tex]b=\frac{2\pi}{12\pi}=\boxed{\frac{1}{6}}[/tex]
Ava buys a book for 8.58. She pays with a $10 bill. How much change will she get?
Answers
Answer:
1.42
Step-by-step explanation:
Would appreciate any help!
Answers
Use the 45-45-90 theorem:
45 45 90
s s s√2
6 6 6√2
Select the correct answer from each drop-down menu.
The graph of the equation y = -x4 + x2 − 2
(A. Increases as x approaches negative infinity and decreases as x approaches positive infinity.)
(B. Decreases as x approaches negative infinity and increases as x approaches positive infinity)
(C. Increases as x approaches negative and positive infinity)
(D. Decreases as x approaches negative and positive infinity)
The graph of the equation y = x5 + x2 + 7
(A. Increases as x approaches negative infinity and decreases as x approaches positive infinity.)
(B. Decreases as x approaches negative infinity and increases as x approaches positive infinity)
(C. Increases as x approaches negative and positive infinity)
(D. Decreases as x approaches negative and positive infinity)
The graph of the equation y = x6 + 2x3 + 3
(A. Increases as x approaches negative infinity and decreases as x approaches positive infinity.)
(B. Decreases as x approaches negative infinity and increases as x approaches positive infinity)
(C. Increases as x approaches negative and positive infinity)
(D. Decreases as x approaches negative and positive infinity)
Answers
Answer:
y = -x⁴ + x² - 2 : D
y = x⁵ + x² + 7 : B
y = x⁶ + 2x³ + 3 : C
Step-by-step explanation:
anyways look at the part with the largest power of x. it will have the biggest impact on the overall value, when x approaches positive or negative infinity.
in the first one this is -x⁴
x⁴ is always positive (for positive and negative x). so, -x⁴ is always negative. therefore, it decreases in both cases when x approaches positive or negative infinity.
in the second one this is x⁵.
this goes with the sign of x. it is getting bigger (it increases), when x approaches positive infinity, and it is getting smaller (it decreases), when x approaches negative infinity.
in the third one this is x⁶.
this is always positive (for positive and negative x). therefore, it increases in both cases when x approaches positive or negative infinity.
What is the constant of proportionality in the equation y=\dfrac{5}{9}xy= 9 5 xy, equals, start fraction, 5, divided by, 9, end fraction, x? constant of proportionality ==equals
Answers
Answer:
5/9
Step-by-step explanation:
If a variable y is directly proportional to x, then;
y = kx where;
k is the constant of proportionality
Given the expression y = 5/9 x
On comparing with the general formula;
kx = 5/9 x
k = 5/9
Hence the constant of proportionality of the expression is 5/9
Answer:
5/9
Step-by-step explanation:
i tried it on khan and its right trust me
The size of each exterior angle of a regular polygon is 18 degrees
a) work out how many sides the polygon has
b) work out the sum of the interior angles of the polygon
Answers
Answer:
a, 20 side polygond b, the sum of the interior angles is 162°
X+y=0
x-y+2=0
Help, also write on paper please? I wanna learn how to do this
Answers
Step-by-step explanation:
Y=x
Y=x+2
Plot graph but not up to scale just for u to understand
Please give real answers with an explaination. 30 points + I will give brainliest. No Docs/No Files/No Links only answer with explaination.
Answers
Answer:
option A
Step-by-step explanation:
The line splits the triangle ABC into two triangles with same base length.
Therefore ,
[tex]Area \ of \ ABC = Area \ of \ ABD + Area \ of \ CBD\\\\[/tex]
[tex]= (\frac{1}{2} \times base \times height) + (\frac{1}{2} \times base \times height)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times CD \times BD)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times AD \times BD)[/tex][tex][ \ Given : AD = \ CD \ ][/tex]
[tex]= 2 \times (\frac{1}{2} \times AD \times BD)\\\\= 2 \times Area \ of \ ABD[/tex]
5. One side of a triangle is 14 cm and another side is 11 cm, therefore, the
third side must be greater than ___
cm and less then ____
cm.
Answers
Which best describes the inventor of a triangle?
Answers
Answer:
I think C
Step-by-step explanation:
islah sold a shirt at sh 2000 making a loss of 9%, how much did islah paid for the shirt ?
Answers
Answer:
2,197.8
Step-by-step explanation:
can someone explain how to do this :) im very confused
Answers
Answer:
the answer is 36q^7
Step-by-step explanation:
multiply the bases and add the exponents
PLEASE HELP!
Adele's checking account balance last month was $4650. If her checking
account pays 1% interest monthly and has a $12 service fee, how much was
the credit to her account?
A. $12.50
B. $34.50
C. $46.50
D. $25.00