The nature of the roots of the equation 5x² + 3x + 2 = 0 are x = -7.123 and x = 0.878.
The equation 5x² + 3x + 2 = 0 has two solutions, or roots, which can be found using the quadratic formula:
x = [-b ± √(b² - 4ac)] / 2a
Where a = 5, b = 3 and c = 2,
x = [-3 ± √(3² - 4(5)(2))] / 2(5)
x = [-3 ± √17] / 10
x = (-3 ± 4.123) / 10
x = (-7.123) / 10, 0.878
The roots of the equation 5x² + 3x + 2 = 0 are x = -7.123 and x = 0.878.
Learn more about nature of the roots here:
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I need help on this question (^～^;)ゞ
Answer:
which part bro I need to know at least
You are saving money for a summer camp that costs $1800. You have saved $500 so far, and you have 14 more weeks to save the total amount. What are the possible average amounts of money that you can save per week in order to have a total of at least $1800 saved?
Answer:
$92.86
Step-by-step explanation:
Since it's AT LEAST 1800, the inequality sign would be ≥ 1800
Equation:
500 + 14x ≥ 1800
14x ≥ 1800 - 500
14x ≥ 1300
x ≥ 92.86
product of 2 and the difference between t and 1 is 14
Answer:
2x + t - 1 =14
Step-by-step explanation:
give me brainliest plz and hope this helps also i am very good at math so that is a reassurance that this is correct
The circle shown has a radius of 4 cm.
Not drawn
to scale
Х
What is the length of the diameter of the circle?
Answer:
8 cm
Step-by-step explanation:
:)
Based on the figure, which of the following equations is also true?
с
A sin 38°
17
17
B cos 38°
с
17
cos 52°
с
с
D tan 52°
17
Answer:
The correct answer is B.
Step-by-step explanation:
Because you know two of the angles in a triangle are 90° and 52°, you can infer that the third angle is 38°. There is a trigonometry rule that states the sine of an angle is equivalent to the cosine of 90° minus that angle, which you can apply to here. Since [tex]Sin(52[/tex]°[tex])[/tex] = [tex]\frac{17}{c}[/tex], you know that [tex]Cos(90[/tex]°[tex]-52[/tex]°[tex])[/tex] or [tex]Cos(38[/tex]°[tex])[/tex]also equals [tex]\frac{17}{c}[/tex], so choice B is the correct answer.
the sum of 2 times a number and 4 equals 3
HELP ASAP
Answer:
The number is - ½
Step-by-step explanation:
Let the missing number be x
2x + 4 = 3
2x = 3 - 4
2x = - 1
x = - ½
Answer:
-1/2
Step-by-step explanation:
you have to make it like this and use a variable:
2x+4=3
take away 4 from both sides:
2x= -1
divide by 2:
x = -1/2
⚠️ ⚠️ ⚠️ PLEASE HELP ASAP!! THIS IS LATE! :(
Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?
A. States had to pay taxes set by Congress and provide soldiers during war time.
B. States had to provide representatives to Congress but soldiers were sent only to state militaries.
C. States sent representatives to Congress and provided soldiers and some officers to protect the country.
D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.
Answer:
i think the answer would be b
Step-by-step explanation:
sorry if i am wrong
Solve for the given variable in the equation: ½ n - 3 = 5
n = _______
Answer:
The correct solution is "n = 16".
Step-by-step explanation:
The given equation is:
⇒ [tex]\frac{1}{2} n-3=5[/tex]
On adding "3" both sides, we get
⇒ [tex]\frac{1}{2} n-3+3=5+3[/tex]
⇒ [tex]\frac{1}{2}n=8[/tex]
On applying cross multiplication, we get
⇒ [tex]n=8\times 2[/tex]
⇒ [tex]n=16[/tex]
Please help pleaseeee I really need answers only
☁️ Answer ☁️
5. IS E (none of these)
Because I got:
-125y^5/162x
6. X = 5/3
Hope it helps.
Have a nice day noona/hyung.
Answer:
5. C. (250xy⁴)/2436. C. x = 5/3
14
km
Find the area of the triangle.
A)
52 km2
B)
84 km2
C)
168 km2
D)
336 km2
Answer:
its D
336 km2
Step-by-step explanation:
A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is
represented below using d for the dollars that person raises and w for the miles that person walks
Answer:
lk
Step-by-step explanation:
on
348.562 in expanded form:
Answer:
300 plus 40 plus 8 plus 0.5 plus 0.06 plus 0.002
QUADRATIC EQUATIONS HELP
Answer:
[tex](x-12)^2[/tex] & [tex] 144[/tex]
Step-by-step explanation:
The Equation given to us is ,
[tex]\implies x^2 -24x + \cdots [/tex]
Here we need to find the value of the blank such that it is a perfect square.
This can be in the form of ,
[tex]\implies (a-b)^2 = a^2+b^2-2ab [/tex]
On looking at equation ,
[tex]\implies x^2 -2(12)x + \cdots [/tex]
For the whole equation to be whole square , the number that should replace the blank is 12² .
[tex]\implies x^2 -2(12)x + 12^2\\\\\implies (x-12)^2[/tex]
Therefore 144 should be added .
What Is the difference between the number of students who earned a score 90 or greater In class 2 and the number of students who earned a 90 or greater in class 1
Answer:
1
Step-by-step explanation:
1/2 of 12 students scored a 90 or above in class 2, which is 6
1/4 of 20 students scored a 90 or above in class 2, which is 5
6 - 5 = 1
The proportion of twins born in a town is p = 0.12. Suppose we randomly select 100 women from this town who
give birth in the next year. Which is the best description of the shape for the sampling distribution of ?
skewed left
skewed right
uniformly distributed
approximately Normal
Answer:
D: Approximately Normal
Step-by-step explanation:
I got it right on edg.
a jug holds 2 cups of liquid. a recipe for fruit punch is 1/2 cups of orange juice. 1/4 cup of raspberry juice, 3/8 cups of grapefruit juice, and 5/8 cups of lemonade. the the jug big enough for the punch? explain
A shipping container is in the shape of a right rectangular prism with a length of 5 feet, a width of 12.5 feet, and a height of 14 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
102 pounds
Step-by-step explanation:
Volume of Right rectangular prism = 12 * 8.5 * 4 = 408 cubic feet
Density = Mass / Volume
=> 0.25 = Weight of contents in container / Volume of container
=> 0.25 = Weight of contents in container / 408
=> Weight of contents in container = 0.25 * 408
=> Weight of contents in container = 102 pounds
Answer:
683lb
Step-by-step explanation:
Solve x/3 = 9.
anyone wanna help lol?
Answer:
x=27
Step-by-step explanation:
Answer:
The answer would be 27
Step-by-step explanation:
Times three by nine to get the value of x.
The length of a rectangle is the sum of the width and 1. The area of the rectangle is 20
units. What is the width, in units, of the rectangle?
Answer:
4 units
Step-by-step explanation:
Create an equation where w is the width of the rectangle
Use the area formula, A = lw.
Since the length is the sum of the width and 1, it can be represented by w + 1
Plug in this and the area into the formula, and solve for w
A = lw
20 = (w + 1)(w)
20 = w² + w
w² + w - 20
(w + 5)(w - 4)
Solve for w:
w + 5 = 0
w = -5
w - 4 = 0
w = 4
Since the width cannot be negative, the answer must be 4.
So, the width of the rectangle is 4 units.
Answer:
Solution :-We know that
Area = Length × Width
Area = w + 1 × w
Area = w² + w
w² + w - 20
w² + (5w - 4w) - 20
(w + 5)(w - 4)
Either
w = -5
or w = 4
Breadth can't be negative
So,
Breadth = 4 units
Θ lies in quadrant III, φ lies in quadrant I. cos θ = -8 /17 , cos φ = 15 /17 . What is cos (θ - φ)?
Answer:
cos(θ - φ) is -240/289
Step-by-step explanation:
The given parameters are;
The location of θ = Quadrant III
The location of φ = Quadrant I
cos(θ) = -8/17
cos(φ) = 15/17
By trigonometric identities, we have;
cos(θ - φ) = cos(θ)·cos(φ) - sin(θ)·sin(φ)
Given that 'θ' is in quadrant III, we have;
sin(θ) is negative
By Pythagoras' theorem, we have;
∴ sin(θ) = -√(17²- 8²)/17 = -15/17
Whereby 'φ' is in quadrant I, by Pythagoras' theorem, we have;
sin(φ) = √(17² - 15²)/17 = 8/17
∴ cos(θ - φ) = (-8/17) × (15/17) + (-15/17) × (8/17) = -240/289 = -0.83044982699
Which is the opposite of -5?
Answer: 5
Step-by-step explanation: 5*-1=-5
HELP FAST I'LL MARK YOU BRAINLIEST
Which below is not always true about a Rhombus?
1. All side are equal
2. Opposite sides are equal and congruent
3. Consecutive angles are supplementary
4. Diagonals are congruent
Answer:
#4 is not always true, only when it's a square.
Help me grade 9! Thankyou
Answer:
got ya
Step-by-step explanation:
7) The ratio of lipsticks to eye shadow in my makeup bag is 1:9. The ratio of eye shadow to mascara is 3:2. Given that I have 3 more eye shadows than mascaras, how many lipsticks do I have?
Answer:
1
Step-by-step explanation:
If you have 1 lipstick, then you have 9 eye shadows, at the same time, if you have 3 eye shadows, you have 2 mascaras. Since it's stated from the first part that you have 9 eye shadows, then going by the ratio, you must have 6 mascaras.
Final part says if there are 3 more eye shadows than mascaras, how many lipsticks have you.
This is quite straightforward, because from the relation I've established up ahead, we have 9 eye shadows and 6 mascaras. And 9 is 3 more than 6. Essentially, this means that the number of lipsticks will remain 1
(8,1), (-2,-5) midepoint
Answer:
(3, -2)
Step-by-step explanation:
The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5. We add 5 to -2, obtaining 3 units.
The y-coordinate of the midpoint is found similarly. The vertical distance between the two given points is 1 - (-5), or 6 units. Half of that is 3 units. Adding 3 units to -5 yields -2.
The midpoint is (3, -2).
Thus, the coordinates of the midpoint at (-7, 6)
Jason and Pam recently bought a house. They financed the house with a $250,000, 30-year mortgage with a nominal interest rate of 77% compounded monthly. Mortgage payments are made at the end of each month. What would be their house payment?
Answer:
Annual payument (PMT)= $1,663.19
Step-by-step explanation:
Giving the following information:
Loan (PV)= $250,000
Monthly interest rate (i)= 0.07/12= 0.005833
Number of periods (n)= 12*30= 360 months
To calculate the monthly payment, we need to use the following formula:
Annual payument (PMT)= (PV*i) / [1 - (1+i)^(-n)]
Annual payument (PMT)= (250,000*0.005833) / [1 - (1.005833^-360)]
Annual payument (PMT)= $1,663.19
PLEASE HELP ASAP AND PLS HURRY NO LINKS
Samantha and her children went into a grocery store and she bought $7 worth of bananas and peaches. Each banana costs $0.40 and each peach costs $0.50. She bought a total of 15 bananas and peaches altogether. Determine the number of bananas and the number of peaches that Samantha bought.
Answer: 10 peaches and 5 bananas
Step-by-step explanation:
To solve the problem increase the cost by adding more peaches and less by adding more bananas
7 peaches = 3.50
8 bananas = 3.20 + 3.50 = 6.70
We need 30 more cents so add three more peaches
10 peaches = 5
5 x 0.4 = 2
2 + 5 = 7
PLEASE HELP WILL MARK BRAINLIEST HELP QUICK
Answer:
first one is 16,956m^2 second one is 6 in
Type equation for the line shown in the graph
Answer:
y = [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line
m = [tex]\frac{5-3}{2+2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 5 ) , then
5 = 1 + c ⇒ c = 5 - 1 = 4
y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line
Help this is due in 2 minutes
First, convert R as a percent to r as a decimal
r = R/100
r = 8.4/100
r = 0.084 rate per year,
Then solve the equation for A
[tex] A = P(1 + \frac{r} {n})^{nt} \\\\ A = 10,000.00(1 + \frac{0.084}{12})^{(12)(30)} \\\\ A = 10,000.00(1 + 0.007)^{(360)} \\\\ A = \$ 123,199.63[/tex]
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 8.4% per year compounded 12 times per year over 30 years is $123,199.63.