Solving the quadratic equation, it is found that the number of teams is greater than 1000 after 3.1 years.
The number of teams after x years is given by:
[tex]T(x) = 17.155x^2 + 193.68x + 235.81[/tex]
Initially, there are T(0) = 236 teams. If will 1000 be when T(x) = 1000, thus:
[tex]17.155x^2 + 193.68x + 235.81 = 1000[/tex]
[tex]17.155x^2 + 193.68x - 764.19 = 0[/tex]
Which has coefficients [tex]a = 17.155, b = 193.68, c = -764.19[/tex], then:
[tex]\Delta = (193.68)^2 - 4(17.155)(-764.19) = 89950.66[/tex]
[tex]x_{1} = \frac{-193.68 + \sqrt{89950.66}}{2(17.155)} = 3.1[/tex]
[tex]x_{2} = \frac{-193.68 - \sqrt{89950.66}}{2(17.155)} = -14.3[/tex]
We want the positive root, so the number of teams is greater than 1000 after 3.1 years.
A similar problem is given at https://brainly.com/question/10489198
What is the solution to the equation −p−13=−43p+23(5p−6)?
Answer:
p = 125/73
Step-by-step explanation:
−p − 13 = −43p + 23 (5p − 6)
−p − 13 = −43p + 115p − 138
−p − 13 = 72p − 138
+p +p
-----------------------------
-13 = 73p - 138
+138 +138
-----------------------------
125 = 73p
/73 /73
-----------------------------
125/73 = p
If you need the answer in mixed fraction, then it's --> p = 1 52/73
The solution to the given equation is p = - 1.71
To determine the solution of the given equation,
We will find the value of the variable, p, that satisfies the equation.
From the question, the given equation is
[tex]-p-13 = -43p+23(5p-6)[/tex]
To solve this,
First, Clear the brackets
[tex]-p-13 = -43p + 115p - 138[/tex]
Now, Collect like terms
[tex]-p +43p -115p = -138 + 13[/tex]
[tex]73p = -125[/tex]
Now, divide both sides of the equation by 73
[tex]\frac{73p}{73} = \frac{-125}{73}[/tex]
∴ p = - 1.71
Hence, the solution to the given equation is p = - 1.71
Learn more here: https://brainly.com/question/9956738
Karla is going to the store. She bought a banana for $0.67, a jar of peanut butter for $2.35 and a bottle of water for $1.50. If she paid with a $5 dollar bill, how much change will she get back? (Do not use $ in your answer)
Answer:
48 cents
Step-by-step explanation:
Did I do this right?
Marcos tem 44 carrinhos em sua coleção e comprou mais 13. Com quantos carrinhos Marcos ficará?
Answer:
Marcos ficará com 57 carros.
Step-by-step explanation:
44+13=57
Aliás, 57 carros é muito carro!
Find the measure of angles 1, 2, and 3
Answer:
angle one is 90
angle two is 115
angle 3 is 65
Step-by-step explanation:
How much is 1 dime and two nickels
Answer:
so 10 +5+5=20
Step-by-step explanation:
so look a dime is 10 cent a nickel is 5 cent
Raquel estimated 304,900,000,000 as 3 × 10^8. What error did she make?
The error that was made by Raquel when expressing [tex]304,900,000,000[/tex]
is that she didn't count the digit correctly, The correct digit is [tex]3 *10^{11}[/tex]
Raquel was trying to express the figure in standard form but she doesn't count the number of digit very well and that was her mistakeStandard form helps to represent digits that are very long or short in simple form and fir conveniency sakeTherefore, the correct expression in standard form is [tex]3 * 10^{11}[/tex]
Learn more at: https://brainly.com/question/9761475?referrer=searchResults
Find the product -6(-3/2)(10
A) -60
B) -90
C) 60
D) 90
Answer:
[tex]answer = 90[/tex]
8n+8=9n solve for the value of n
Answer:
n=8
Step-by-step explanation:
3. In a figure a small square is cutting out from the largesquare. The area of the remaining part is 91 cm². The sum of Sides equal to 52cm.
(a). If the side of large square is x and the side of smallest square is y then find the area of the remaining part?
(b). Find the sides of the smallest square?
(c). Find the areas of the two squares?
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
ABCD is a square of side x cmEFGH is a square of side y cmFurther given that,
Sum of all sides = 52 cmIt means
Perimeter of square ABCD + Perimeter of square EFGH is 52 cmWe know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Perimeter_{[square]} \: = \: 4 \times side \: }}}[/tex]
So, using this, we have
[tex]\rm :\longmapsto\:4x + 4y = 52[/tex]
[tex]\rm :\longmapsto\:4(x + y) = 52[/tex]
[tex]\rm\implies \:\boxed{\tt{ x + y = 13}} - - - - (1)[/tex]
Now, Further given that,
If square EFGH is cutting out from square ABCD, the area of remaining part is 91 square cm.
It means
[tex]\rm :\longmapsto\:Area_{[ABCD]} - Area_{[EFGH]} = 91[/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Area_{[square]} = 4 \times side}}}[/tex]
So, using this, we get
[tex]\rm :\longmapsto\: {x}^{2} - {y}^{2} = 91[/tex]
can be further rewritten as using algebraic Identity,
[tex]\rm :\longmapsto\:(x + y)(x - y) = 91[/tex]
[tex]\rm :\longmapsto\:13(x - y) = 91[/tex]
[tex]\red{ \bigg\{ \sf \: \because \: using \: equation \: (1) \bigg\}}[/tex]
[tex]\rm\implies \:\boxed{\tt{ x - y = 7}} - - - - (2)[/tex]
On adding equation (1) and (2), we get
[tex]\rm :\longmapsto\:2x = 13 + 7[/tex]
[tex]\rm :\longmapsto\:2x = 20[/tex]
[tex]\rm\implies \:\boxed{ \: \bf \: \: x \: = \: 10 \:cm \: \: }[/tex]
On substituting the value of x in equation (1), we have
[tex]\rm :\longmapsto\:10 + y = 13[/tex]
[tex]\rm :\longmapsto\:y = 13 - 10[/tex]
[tex]\rm\implies \:\boxed{ \: \bf \: \: y \: = \: 3 \:cm \: \: }[/tex]
So,
[tex]\rm\implies \:\boxed{Side_{[square \: EFGH]} = y \: = 3 \: cm}[/tex]
and
[tex]\rm\implies \:\boxed{Side_{[square \: ABCD]} = x \: = 10 \: cm}[/tex]
Also,
[tex]\rm :\longmapsto\:\boxed{Area_{[square \: ABCD]} = {10}^{2} = 100 \: {cm}^{2} }[/tex]
[tex]\rm :\longmapsto\:\boxed{Area_{[squareEFGH] }\: = {3}^{2} = 9 \: {cm}^{2} }[/tex]
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[tex]\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}[/tex]
The ages of three friends are represented by three consecutive odd numbers. The sum of their ages is 63. If the youngest is represented by x, what equation would be used to find x?
Answer:
x+(x+2)+(x+4)=63
Step-by-step explanation:
Could someone explain to me how to do this? I'd like to know before my test, please!
Find the value of x for which a || b
Answer:
Since a and b are parallel
Step-by-step explanation:
2x+27=3x - 27
collect the like terms
3x-2x=27+27
x=54
PLS MARK BRAINLIEST
Answer:
x = 54
Step-by-step explanation:
If the lines are treated as parallel , then
(3x - 27) and (2x + 27) are alternate exterior angles and congruent, so
3x - 27 = 2x + 27 ( subtract 2x from both sides )
x - 27 = 27 ( add 27 to both sides )
x = 54
For a and b to be parallel then x = 54
A basketball player spent 6 hr
watching game films, practic-
ing free throws, and lifting
weights. He spent twice as
much time lifting weights as
practicing free throws and
2 hr longer watching game
films than practicing free
throws. How many hours did
he spend on each task?
Answer:
watching game= 3 hours
practicing free throw= 2 hours
lifting weight=1 hour
Ill give brainles
Evaluate.
−11.9−1
Answer:
I think its -12.9
Step-by-step explanation:
To solve this question you have to use TAN COS SIN i give brainiest
Answer:
4.3Step-by-step explanation:
Use cosine:
cos = adjacent / hypotenusecos ∠L = KL/JLcos 21° = 4/xx = 4 / cos 21°x = 4.3 (rounded)Answer:
4.3Step-by-step explanation:
Here we will use cosine to find the value..
[tex] \cos = \frac{adjacent}{hypotenuse} [/tex][tex] \cos∠l = \frac{kl}{jl} [/tex][tex] \cos21° = \frac{4}{x} [/tex][tex]x = \frac{4}{ \cos21° } [/tex][tex]x = 4.3[/tex] When rounded off...The model shows the addition expression 18 + 12.
(A model containing 3 rows of 6 orange squares and 3 rows of 4 blue squares)
One expression that is equivalent to this sum is _______. 1. 3 + 6 + 4 2. 3(6 + 4) 3. 3 + 6(4) 4. 3(6) + 4
Answer:
2. 3(6+4)
Step-by-step explanation:
what is the intersection of planes m and L
a. point D
b. line ab
c. line ce
d. they do not intersect
Answer:
d. they do not intersect
Step-by-step explanation:
PLEASE HELP ME PLWASE MY LAST ATTEMPT PLEASE HELP ME!!!!!!!
9514 1404 393
Answer:
y = -3/4(x -2)
Step-by-step explanation:
You are given point (2, 0) on the new pipeline. To find the equation of it, you need to know the slope of the line on the graph. A careful look at the graph shows you the line goes through grid points that are separated by 4 units horizontally, and 3 units vertically. For a positive horizontal change, the vertical change is negative, so the slope is ...
m = rise/run = -3/4
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For m = -3/4 and (h, k) = (2, 0), the equation is ...
y = -3/4(x -2)
_____
Additional comments
If you use the distributive property to eliminate parentheses, the equation becomes ...
y = -3/4x +3/2
The slope of the red pipeline can also be determined by considering the slope of the blue pipeline. The two marked points on that line have a horizontal separation of 3 and a vertical separation of 4. Its slope is ...
m = rise/run = 4/3
The slope of the perpendicular (red) line is the opposite reciprocal of this:
-1/m = -1/(4/3) = -3/4 . . . . as we determined from the red line's graph
Find the value of x.
y apples at 0.35 each
Answer:
I don't understand your question! I would love to help, but I don't understand!
Step-by-step explanation:
write the slope-intercept form of the equation (no space)
through: (-1, -2), parallel to y = -2x - 1
Answer:
slope=-2
y+2=(-2)(x+1)
This is the slope intercept form
Explain how to add integers that have like signs (all + or all -).
Answer:
Step-by-step explanation:
If there is two - signs you make it a positive
Answer:
Step-by-step explanation:
To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
I wrote an equation to show that two amounts were equal.
Answer:
what equation?
Step-by-step explanation:
solve. 2x−4+2x=−6x−2
Answer:
x = 1/5
Step-by-step explanation:
2x − 4 + 2x = −6x −2
Combine the like terms (2x)
Result:
4 − 4 = − 6 − 2
Add 4 to both sides:
4 − 4 + 4 = − 6 − 2 + 4
Result:
4 = − 6 + 2
Add 6x to both sides.
4 + 6 = − 6 + 2 + 6
Result:
1 0 = 2
Divide both sides by 10:
1 0 / 1 0 = 2/ 1 0
Result:
x = 1/5
Therefore, x = 1/5 would be your answer.
-kiniwih246
Luigi incorrectly solved the following equation. Explain the error in Luigi's work.
Complete your work in the space provided or upload an image of your work completed on paper.
Answer:
the error(s) is from the step 2
Step-by-step explanation:
3r - 12 = 2r - 3 +4r
3r - 4r -2r = 12 - 3
-3r = 9
r = 9 : (-3)
r = -3
--------------------------
the error(s) is from the step 2
(x^2 + 2x + 2)(x + 5) = 0
Answer:
[tex] {x}^{2} + 2x + 2 = 0 \: no \: solution \\x + 5 = 0 - \: \: \: \: \: x = - 5 \\ sox = - 5 [/tex]
Jimmy spent half of his weekly allowance playing mini-golf. To earn more money his parents
let him mow the lawn for $5. What is his weekly allowance if he ended with $14?
8 b.
A boat can travel 42 miles on 7
gallons of gasoline. How far can it
travel on 2 gallons?
Answer:
12 miles
Step-by-step explanation:
42÷7=6
6×2=12
Good luck!
Answer:
12 miles on 2 gallons of gasoline
Step-by-step explanation:
First, we need to find the unit rate and that can simply be found by dividing.
So we divide 42 miles by 7 gallons which equal 6.
So we know for every One gallon there is 6 miles. So we simply multiply 6 and 2 and we get an answer of 12 miles.
So therefore the answer is a boat can travel 12 miles on 2 gallons of gasoline.
What is an equation of the line in slope- intercept form?
m=2 and the y intercept is (0,3)
Answer:
Y= 2x+3
Step-by-step explanation:
The Slope-Intercept formula is y=mx+b. M is the slope, b is the y intercept, x is the independent variable and y is the dependent variable. In order to write an equation for these types of problems, plug in the numbers for the variables.
whoever solves correctly gets brainliest The number of miles will be x. Next, we’ll have the inequality 8x+2<=10 then we will solve the inequality 8x+2-2<=10-2 and simplify 8x<=8. divide 8 both sides x<=1
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Answer:
Step-by-step explanation: