The equation 36x^2 + 61x + 20 = 0 solves to x = -4/9 or x = -5/4
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Explanation:
x = -4/9 or x = -5/4 .... given solutions
9x = -4 or 4x = -5 .... multiply both sides by denominator
9x+4 = 0 or 4x+5 = 0 .... get everything to one side
(9x+4)(4x+5) = 0 .... zero product property
y(4x+5) = 0 ...... let y = 9x+4
y*4x + y*5 = 0 .... distribute
4xy + 5y = 0
4x( y ) + 5( y ) = 0
4x( 9x+4) + 5( 9x+4 ) = 0 ... plug in y = 9x+4
4x*9x + 4x*4 + 5*9x + 5*4 = 0 ..... distribute
36x^2 + 16x + 45x + 20 = 0
36x^2 + 61x + 20 = 0
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The equation 36x^2 + 61x + 20 = 0 has the two solutions x = -4/9 and x = -5/4
We can use the quadratic formula to confirm this.
What are the outputs of the following function?
-3
-2)
9
O{-2}
{-3, -2}
O{-3,0, 1,9)
(-3,-2,0, 1,9)
Answer:
Do you have answer choices?
Step-by-step explanation:
Write the following words as an algebraic expression:
5 times x divided by 2.
Answer:5x divided by2
Step-by-step explanation:
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What is the value of this expression?
Answer:
c hope this helps
Step-by-step explanation:
M yde = 21x - 5, m cdy = 10x - 3, and m cde =147 find x
Answer:
x = 5
Step-by-step explanation:
Here, we are interested in calculating the value of x.
We can obtain this from the given angle in the question.
Mathematically;
<CDE = <YDE + <CDY
Thus;
147 = 10x-3 + 21x-5
147 = 31x -8
31x = 8 + 147
31x = 155
x = 155/31
x = 5
Grandma Gertrude gave 13 pieces of jewelry and Grandma Birdie gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 5 Carlson sisters. Write an expression that represents the number of pieces of jewelry each sister received.
Answer:
(13 + y ) / 5
Step-by-step explanation:
The total number of jewellery pieces givens by the grandmas is 13 + y
If there are 5 sisters and the jewellery pieces would be divided evenly , each sister would get : (13 + y ) / 5
The area of
this triangle
is 180 ft?,
what does x
have to be?
Answer:
x has to be 6
Step-by-step explanation:
Let us revise the rule of the area of a triangle
→ The area of any triangle = [tex]\frac{1}{2}[/tex] × base × height
In the given triangle:
∵ The triangle is a right triangle
∵ Its base = 5x ft
∵ Its height = 12 ft
∵ Its area = 180 ft²
→ Substitute these values in the rule of the area above
∴ 180 = [tex]\frac{1}{2}[/tex] × 5x × 12
→ Simplify the right side
∵ [tex]\frac{1}{2}[/tex] × 5x × 12 = 30x
∴ 180 = 30x
→ Divide both sides by 30 to find x
∴ [tex]\frac{180}{30}=\frac{30x}{30}[/tex]
∴ 6 = x
∴ x has to be 6
To check your answer find the area of the triangle
∵ Its base = 5x = 5(6) = 30 ft
∵ Its height = 12 ft
∴ Its area = [tex]\frac{1}{2}[/tex] × 30 × 12 180 ft²
∴ The value of x is correct.
Please help me to solve the question.
Answer: A = (-2, 0) B = (-1, 1) x² + y² = 1/2
Step-by-step explanation:
To find where the line and circle intersect, create a system of equations and use the Substitution method to find the coordinates:
EQ1: x - y + 2 = 0 → x = y - 2
EQ2: x² + 2x + y² = 0 → (y - 2)² + 2(y - 2) + y² = 0
→ (y² - 4y + 4) + (2y - 4) + y² = 0
→ 2y² - 2y = 0
→ 2y(y - 1) = 0
→ 2y = 0 y - 1 = 0
y = 0 y = 1
Plug the y-values into EQ1 to solve for x:
x = y - 2 x = y - 2
x = 0 - 2 x = 1 - 2
x = - 2 x = - 1
Coordinates: (-2, 0) & (-1, 1)
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Diameter of AB: d² = (x₂ - x₁)² + (y₂ - y₁)²
= [-2 - (-1)]² + [0 - (-1)]²
= (-2 + 1)² + (0 + 1)²
= (-1)² + 1²
= 1 + 1
d² = 2
d = √2
→ r = √2/2
Equation of a circle is: (x - h)² + (y - k)² = r²
Since a center was not provided for the equation with diameter AB, you can choose any value for center (h, k). I choose to let (h, k) = (0, 0) (x - 0)² + (y - 0)² = (√2/2)²
x² + y² = 2/4
x² + y² = 1/2
Which line has a slope of 1/2 and a y-intercept of 2?
how do you write nine million, two hundred seventy-nine thousand, one hundred eighty-nine in number form
Answer:
9,279,189
thats two hundred seventy-nine thousand, one hundred eighty-nine in number form
2 2/5 ÷ 3 2/3
Find the quotient if possible rename the quotient as a mixed number or whole number write your answer in the simplest form
Answer:
[tex]\frac{36}{55}[/tex] , proper fraction
Step-by-step explanation:
[tex]2\frac{2}{5} =\frac{12}{5}[/tex] [tex]3\frac{2}{3}=\frac{11}{3\\}[/tex]
[tex]\frac{12}{5}*\frac{3}{11}=\frac{36}{55}[/tex]
POSSIBLE POINTS: 50
BEE
The sum of interior angles in a triangle are 180 degrees. Angle B and C are congruent. Angle B is
twenty less than angle A. Write and solve a system of equations using substitution.
Answer:
A = 73.33
B = 53.33
C = 53.33
Step-by-step explanation:
Since they are in a triangle, the sum of the three angles = 180
A + B + C = 180 ••••••(i)
Since B and C are congruent, it means that they are equal;
hence B = C ••••••(ii)
We can rewrite equation i as;
A + B + B = 180
A + 2B = 180 ••••••(iii)
Lastly;
B = A -20 •••••(iv)
Substitute iv into iii
A + 2(A -20) = 180
A + 2A -40 = 180
3A = 180 + 40
3A = 220
A = 220/3 = 73.33
But B = C = A -20 = 73.33 -20 = 53.33
1. A third-grade class needs five leaves each day to feed its two caterpillars. How many leaves would they need each day to feed 12 caterpillars?
O 17 leaves
O 26 leaves
O 30 leaves
O 34 leaves
Answer:
17 leaves
Step-by-step explanation:
A
Find A if B = 50° and α + β = 100°
Answer:
A=30
Step-by-step explanation:
We know through the Angle Sum Property of A Triangle that
all its angles add up to 180 degrees
Hence, A + (a+b) +B= 180
A+100+50=180
A+150=180
A=30
After a 20% increase an article cost $270. The original cost of the article is
Answer:
$216.00
Step-by-step explanation:
Final price: $216.00
Saved amount: $54.00
Which of these two fractions are equivalent to 1/4:
3/15
2/8
5/20
11/40
Thankyou for helping :) x
Answer:
3\15
Step-by-step explanation:
hope this helps
Answer:
[tex]\frac{2}{8}and\frac{5}{20}[/tex]
Step-by-step explanation:
[tex]\frac{3}{15}=\frac{1}{5}[/tex]
[tex]\frac{2}{8}=\frac{1}{4}[/tex]
[tex]\frac{5}{20}=\frac{1}{4}[/tex]
[tex]\frac{11}{40}=\frac{11}{40}[/tex]
Two dices are tossed. What is probability that you will see even numbers on both dices? Answer should be in reduced
fraction format
Answer:
3/6
Step-by-step explanation:
Well 3 is half of 6 and if you were to turn that into a fraction it would either be 3/6 or 1/2.
The probability that you will see even numbers on both dice will be 0.25.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
Two dice are tossed. Then the total number of events will be
Total events = 6 × 6
Total events = 36
The probability that you will see even numbers on both dice will be
The number of the favorable event will be given as,
Favorable events = 9
Then the probability is given as,
P = 9 / 36
P = 1/4
P = 0.25
The probability that you will see even numbers on both dice will be 0.25.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Please help me simplify 5x^4(8x)
Answer:
40 x ^5
Step-by-step explanation:
1 and 2 are vertical angles. If m_1 =
(6x + 11) and m2 = (10x - 9), find m1.
Answer:
x=5
Step-by-step explanation:
You have to put them together 6x+11=10x-9 then you can either subtract 6x or 10x. It would be easier to subtract 6x from 10x. 11=4x-9, then you would add 9 to both sides, finally you divide that answer by 4. That would be the answer to x.
2. Darrell applied for a $5,200 loan from his credit union to purchase new office furniture. The simple annual interest rate on the loan is 5%. How much interest will Darrell save if he obtains the loan for 2 years instead of 2 1/2 years?
Answer: $130
Step-by-step explanation:
Simple interest is calculated as:
= PRT/100
where P = principal = $5200
R = Rate = 5%
T = Time = 2 years
S.I = (PRT)/100
= (5200 × 5 × 2)/100
= 52000/100
= $520
Assuming the loan was obtained for 2 1/2 years, the simple Interest will be:
= (5200 × 5 × 2.5)/100
= 65000/100
= $650
This means he'll have saved:
= $650 - $520
= $130
Order the fractions 2/3 3/8 1/2 from least to greatest
Answer:
3/8 < 1/2 < 2/3
How do I solve 1/7 +2/7
Answer: 3/7
Here are two methods to solve this problem.
1. Count on, since you have the same denominator.
1/7, 2/7, 3/7.
2. Add, but not counting on.
1 + 2 = 3
3 = 3/7.
Hope it helps!
4.) Convert 40.0 ul to L.
Answer: 40.0 ul = 0.000039999999999999996 L
Explanation: 40.0 ul/1,000,000=0.000039999999999999996
Write a quadratic function f whose zeros are -7 and -3
Answer:
y= (x+7)(x+3)
Step-by-step explanation:
This is intercept form, which is y=a(x-p)(x-q). p and q are the zeros, and I assumed a=1
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
A polynomial with the highest power of 2 is called a quadratic equation.
The quadratic function whose zeroes are -7 and -3 is
y = x² + 10x + 21
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
A polynomial with the highest power of 2 is called a quadratic equation.
A quadratic function whose zeroes are -7 and -3.
This means the quadratic function has zeroes.
x = -7
x + 7 = 0 ____(1)
x = -3
x + 3 = 0 _____(2)
Let the quadratic function be f(x) = y.
From (1) and (2) we get,
y = (x + 7)(x + 3)
y = x² + 3x + 7x + 21
y = x² + 10x + 21
Thus,
The quadratic function whose zeroes are -7 and -3 is
y = x² + 10x + 21
Learn more about polynomials here:
https://brainly.com/question/2284746
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Which expression represents twice the sum of w and 6?
2 + 6w
2w + 6
2w + 6w
2 (w + 6)
forty five thousand six and seventy seven hundreths please please please help me put this in number form please please!!!!!!!!!!!!!!!!!!!!!!!! i will give points or brainly if its right promis just pleaseeeeeeeeeeeeeeee!!!!!!!!!!!!
Answer:
45677 is the answer
Step-by-step explanation:
hope it helps you!
Answer:
I'm not a hundred percent sure if this is right but I got 45,006.77
Step-by-step explanation:
It takes 1 week to create 3 wheels of chee
many wheels could you make in 3 weeks?
the relationship is directly proportio
wheels of cheese
Answer:
9 wheels of cheese
Step-by-step explanation:
1 week = 3 wheels
2 weeks = 6 wheels
3 weeks = 9 wheels
A die is rolled and a coin is tossed.
Find the probability that an odd number is followed by either a head or a tail?
Answer: The probability of an odd number is 1/2, and the probability of a tail is also 1/2, so the probability of both occurring is the product, 1/4.
Step-by-step explanation: The coin is fair, the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12 because among 6 results there are 3 even numbers
Answer:
There are three outcomes in which tails occur with an even number (2, tails), (4, tails), (6, tails). The probability of this event is 3 / 12 = 1 / 4. The probability that tails and an even number do not occur together is. 1 - 1 / 4 = 3.4
Step-by-step explanation:
determine the domain of the following graph
Answer:x is greater than or equal to -7 but less than 9.
Step-by-step explanation:
Find the lowest and higest points on the graph.
Remember the domain is on the x - axis.
The lowest point on the graph is -7, but the dot is filled in so it must be equal to it.
The next step is that the graph is getting larger so it is greater than or equal to.
On the other side of the graph do the same but it is less than not equal because the dot is open.
Step-by-step explanation:
Is it possible to find a value of $x$x so that the value of the surface area (in square inches) is equal to the value of the volume (in cubic inches)? A rectangular prism with length labeled x inches, width labeled 6 inches, and height labeled 3 inches.
Answer:
No, it’s not possible according to calculations
Step-by-step explanation:
Mathematically, the area of a rectangular prism is;
2(wl + wh + lh)
Where w is the width, l is the length and h is the height;
Making the substitutions with values in the question
Surface area = 2(6x + 3x + 3(6))
Surface Area = 2(9x + 18) = 18x + 36 square inches
Volume of rectangular prism = l * w * h
Making substitutions;
V = x * 6 * 3 = 18x cubic inches
So therefore to get the value of x, we equate the surface area to the volume;
18x = 18x + 36
We can see that 18x will cancel out and will render our equation invalid
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