Step-by-step explanation:
remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is
x = (-b ± sqrt(b² - 4ac))/(2a)
a)
I think there is a typo, and this should be
5x² - 7x = 72
5x² -7x - 72 = 0
x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10
x1 = (7 + sqrt(1489))/10
x2 = (7 - sqrt(1489))/10
b)
x(x + 2) = 5
x² + 2x - 5 = 0
x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =
= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =
= -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
c)
3x² + 2x - 4 = 0
x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =
= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =
= (-1 ± sqrt(13))/3
x1 = (-1 + sqrt(13))/3
x2 = (-1 - sqrt(13))/3
Find the value of c that makes x^2+ 9x + c a perfect square trinomial. Write the expression as the square of a binomial. The expression is
Answer:
[tex]c=\frac{81}{4}[/tex]
I hope this is the right answer and I hope this helps
The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.
What is a perfect square trinomial?A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.
The expression is given below.
⇒ x² + 9x + c
The value of the variable 'c' to convert the expression as the square of a binomial will be given as,
c = (9/2)²
c = 81 / 4
The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.
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im stumped on this question. please help:)
Answer:
(-2,6)
Step-by-step explanation:
the actual solution to the system of equations is (-(64/27),(56/9)).
however, we can estimate by looking at the graph. the solution is where both lines intersect, and that looks to be around (-2,6) as an approximation. hope this helps!
help me please brainlist if right
Step-by-step explanation:
1B.) Zero power rule
C.) 1
2B.) Product of powers rule
C.) y^(7+11) = y^18
3B.) Quotient of powers rule
C.) b^(18-5) =b^13
4B.) Power of a power rule
C.) 3^(2×2) =3^4= 81
5B.) None
C.) 729
Dante’s chocolate bar is 36% cocoa. If the weight of the chocolate bar is 73 grams, how many grams of cocoa does it contain round your answer to the nearest tenth?
Answer:
26.3 grams
Step-by-step explanation:
36% = 36/100 = 0.36
73 * 0.36 = 26.28 grams ≈ 26.3 grams
Answer:
i think 26.3 grams
Step-by-step explanation:
0.36×73 = 26.28
When rounded to the nearest tenth, 26.28 should be equal to 26.3
So Dante's the chocolate bar contains 26.3 grams of cocoa.
Find the length of OP.
Answer:
OP = 84
Step-by-step explanation:
The triangle is equilateral meaning all angles equal and all sides are equal.
5y - 6 = 4y + 12
y - 6 = 12
y = 12 + 6
y = 18
Now
OP = 4y + 12
OP = 4(18) +12
OP = 84
Is {1, 3, 5} a subset of the set of odd integers?
Answer: Yes
Step-by-step explanation:
The set of odd integers is all odd numbers with no decimal places after them. This includes 1, 3, 5, 7, 9, 11, 13 (etc.) The numbers 1, 3, and 5 all fall within this set, making the set {1, 3, 5} a subset of the set of all odd integers.
Consider the rectangle shown.
3x + 5
2x-1
If the perimeter of the rectangle is 52, what is the value of x?
Step-by-step explanation:
Perimeter of rectangle = 2(a+b) or 2a +2b
a=perimeter of the first side of the rectangle
b=perimeter of the second side of the rectangle
Perimeter = 2(3x+5 + 2x-1)=52
Open the bracket by multiplying the number outside by the number inside
=6x+10+4x-2=52
C.L.T ( Collect like terms), that means put the terms that have co-efficients together (those with variables "X") and those that don't have in the other side of the equation. While collecting like terms, if a number is taken to the other side, the sign changes
6x+4x=52-10+2
10x=44
D.B.S by 10, to make variable X subject
x=4.4
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The dimension of the rectangle is (3x + 5) and (2x - 1).
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be given as,
2[(3x + 5) + (2x - 1)] = 52
Simplify the equation, then we have
2[(3x + 5) + (2x - 1)] = 52
3x + 5 + 2x - 1 = 26
5x + 4 = 26
5x = 22
x = 22 / 5
x = 4.4
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.
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Simplify (x^3 + 2x^2 - x) + (4x^3 + x^2 + x)
Answer: 5x^3 + 3x^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
6x2 - 8x - 2
Simplify ————————————
x - 1
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
6x2 - 8x - 2 = 2 • (3x2 - 4x - 1)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 4x - 1
The first term is, 3x2 its coefficient is 3 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -4 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Polynomial Long Division :
3.3 Polynomial Long Division
Dividing : 3x2-4x-1
("Dividend")
By : x-1 ("Divisor")
dividend 3x2 - 4x - 1
- divisor * 3x1 3x2 - 3x
remainder - x - 1
- divisor * -x0 - x + 1
remainder - 2
Quotient : 3x-1
Remainder : -2
Final result :
2 • (3x2 - 4x - 1)
——————————————————
x - 1
See results of polynomial long division:
1. In step #03.03
Are these three side lengths a Pythagorean triple? YES
NO
Answer:
Yes
Step-by-step explanation:
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
[tex]\sqrt{50}[/tex] = c
[tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex]
Answer:
NOStep-by-step explanation:
no, it is an acute isosceles triangle
(5√2 = 7.01)
Edward deposited $5,500 into a savings account 5 years ago. The simple interest rate is 3%. How much money Need ans
Answer:$1375 in interest and $6875 total.
Step-by-step explanation:
13)The final grade on your math exam was determined by the function f(x) = 100 - 2x. Which statements are correct?
A) 100 is the maximum grade,
B) y equals your final grade..
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems
Answer:
A, B, D
Step-by-step explanation:
from this function, we can see that 2x is being subtracted from 100. x is the number of incorrect problems, so this can not be a negative value. therefore, the maximum score you can get is 100. y is equal to your final grade as calculating the right side of the equation results in the grade you receive based on the number of incorrect answers. this is a linear function since its highest power is 1. each question is worth 2 points as 2 is being multiplied by the number of incorrect questions (x).
9) the formula for the volume
I of a cone is v= 1/3 TT r ² h
Solve the formula for the
height h
Please show your work!!!
Answer:
V=TTr²h
Step-by-step explanation:
Why?
Because you will v=TT r² h/3
so the answer is
v=TT r² h/3,r É R,h É R
That's my hardwork lick it brainliest and liked my hardwork please
I FORGOT TO PUT THE ANSWERS SORRY PLEASE HELP
Answer:
Step-by-step explanation:
Circumscribed means written around the outside. -scribe means writing and
think of how circumference is the distance around the outside of a circle. It is a little more special and specific...all the segments that make the triangle are tangents to the circle, that is, they only touch the circle at one point.
So the circle is inscribed-- that is, written inside of the triangle (in the same, special specific way).
Circle A is inscribed in triangle RST.
Answer:
Inscribed
Step-by-step explanation:
What is polygon inscribe?
When a polygon is inscribed inside another polygon it is called polygon inscribe.Here Circle A is drawn inside ∆RST so it's inscribed.Pleaseeee help meee with this!!!!!!!!!!!!
Answer:
x=19
Step-by-step explanation:
The 2 angles are same side interior angles, so together they add to 180 degrees. So you can make this equation:
6x + 4 + 4x - 14 = 180
10x - 10 = 180 (Combine like terms)
10x = 190 (add 10 to each side)
x = 19 (divide both sides by 10)
A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 21 minute? In 1 hour?
Solve the following equation by factoring: x^2+ x– 42 = 0
Answer:
x=6,x=-7
Step-by-step explanation:
x^2+x-42=0
x^2-6x+7x-42=0
x(x-6)7(x-6)=0
(x-6)(x+7)=0
Mattie Evans drove 160 miles in the same amount of time that it took a turbo propeller plane to travel 920 miles. The speed of the plane was 190 mph faster than the speed of the car. Find the speed of the plane.
Answer:
Step-by-step explanation:
The speed of the plane was 291.13mph.
What is speed?Speed is distance travelled per unit time. It is scalar quantity
Given
The difference in distances was 600 miles; the difference in speeds was 190mph. That means the time was 600/190 = 3.16 hours.
Since the plane flew 920 miles in that time, its speed was 920/3.16 = 291.13mph.
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Paul left his house at 9:45 a.m. and returned home at 6:55 p.m. the same day. How long was Paul away from home?
Answer:
9 hours and 10 minutes
Write the following in simplified radical form.
Step-by-step explanation:
I think the answer is like this
yo can i get some help with this
Answer:
14
Step-by-step explanation:
Answer:
16 + 2 = 14 + 4
? = 14
Step-by-step explanation:
How many centimeters are there in 1 yard if there are 2.54 centimeters per inch? Show your work and express your answer without rounding.
Answer: 91.44
Step-by-step explanation:
There are 3 feet in a yard, 12 inches in a foot. 2.54 x 12= 30.48
30.48 x 3= 91.44
I hope this helps!
I need help
What does x² equal?
Answer: we need to know what the equation is
Step-by-step explanation:
Select the postulate that is illustrated for the real numbers. 3x + 3 = 3(x + 1) The commutative postulate for multiplication Multiplication by one The distributive postulate The multiplication inverse The addition of zero postulate Commutative postulate for addition The addition inverse postulate
3 equivalent ratio to 9/2
Answer:
10/12 i took the test
Step-by-step explanation:
Answer:
18/4 , 27/6 , 36/8
Step-by-step explanation:
9 to 2 x 2 = 18 to 4
9 to 2 x 3 = 27 to 6
9 to 2 x 4 = 36 to 8
Skyler is helping his mother plan a wedding breakfast for his older sister, Jessica. They
are expecting 63 family members to attend, and they are using round tables that seal 8
guests each. How many tables will be needed to seat 63 people?
What do I do with the remainder?
Answer:
You would count another table for the remainder. Therefore, 8 tables are needed to seat 63 people. It does not matter whether all seats are filled on the 8th table.
yesterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?
Answer:
6
Step-by-step explanation:
5% of 120 were late
= [tex]\frac{5}{100}[/tex] × 120
= 0.05 × 120
= 6
Mandy has $2.25 credit on her mobile phone. It costs $0.10 to send a text message. What is the largest amount of text messages she can possibly send to her friends with $2.25?
Answer:
22.5
Step-by-step explanation:
since 2.25 divided by 0.10 is 22.5 so she can message 22.5 friends
A new DVD player has a purchase price of $430. With the extended warranty, the total cost is $512. What percent of the purchase price is the price of the warranty? a. 16% b. 19% c. 24% d. 29% Please select the best answer from the choices provided A B C D.
The percent of the purchase price that is the price of the warranty is: b. 19%.
Using this formula
Purchase price percent=Total cost-Purchase price/Purchase price
Where:
Total cost=$512
Purchase price=$430
Let plug in the formula
Purchase price percent=$512-$430/$430
Purchase price percent=$82/$430
Purchase price percent=0.19×100
Purchase price percent=19%
Inconclusion the percent of the purchase price that is the price of the warranty is: b. 19%.
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Given the figure below, which statement correctly completes the following? ABE and HCD are what type of angles
Angles are classified based on their measures.
Classification of angles
The following are the classification of angles
Acute AnglesRight AnglesObtuse AnglesStraight linesReflex AnglesThe smallest angle is 0 degrees and the largest is 360 degrees.
When the measure of an angle is less than 90 degrees, such angle is an acute angle
When the measure of an angle is exactly 90 degrees, such angle is a right angle
Angles greater than 90 degrees, but less than 180 degree are obtuse angles, while angles that measure exactly 180 degrees are straight lines.
The last type of angle is the reflex angle, and it has a measure between 180 degrees and 360 degrees (exclusive)
The question is incomplete, so I gave a general explanation
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Reduce the fraction and find the domain:
(c+2)^2 divided by 7c^2+14c