The equation that indicates the number of real solution in the polynomial is presented as follows;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]
What is a polynomial?A polynomial is an expression that has two or more algebraic terms of the same variables that have different powers.
The specified expression is presented as follows;
5·x³ + x² - 7·x + 28
The polynomial equation can be factored using a graphing calculator to get;
5·x³ + x² - 7·x + 28 = [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5[/tex]
When the expression is equated to 0, we get;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]...(1)
The discriminant of the expression [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)[/tex] is less than 0, therefore, the expression [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)[/tex] has no solution
The real solutions found from equation (1) is therefore;
[tex]x=-\dfrac{15933}{7535}[/tex]
There is therefore one solution to the expression
The equation that expresses the number of solutions is therefore;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]
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please help with the 2 questions ive attached, i dont understand it at all
Answer:
see explanation
Step-by-step explanation:
(a)
Consider the denominator
To obtain 5xy from x , multiply by 5y
Thus numerator is multiplied by 5y, that is
[tex]\frac{1}{x}[/tex] = [tex]\frac{5y}{5xy}[/tex]
(b)
Consider the numerator
To obtain 5ab² from ab, multiply by 5b
Thus denominator is multiplied by 5b, that is
[tex]\frac{ab}{2c}[/tex] = [tex]\frac{5ab^2}{10bc}[/tex]
Help me asap
Write an equation to represent the tape diagram.
Find the value of p that makes the equation true.
Answer:
6p =120
Step-by-step explanation:
well the p's are very close together in a sense that we are going to multiply instead of add because they the p's would have space in between
6 * 20 = 120
so p= 20
choose A
and P=20
6p is equal to 6×20
to get P, do 120÷6
helpieeee plzzz owo will mark brainlist
Answer:
addition property of equality. hope that helps!
Step-by-step explanation:
Answer:
addition property of equality
Step-by-step explanation:
A kite has a perimeter of 108 feet. One of the longer sides measures 30 feet. What are the lengths of the other three sides?
24 feet, 24 feet, 30 feet
24 feet, 30 feet, 30 feet
26 feet, 26 feet, 26 feet
30 feet, 48 feet, 48 feet
Answer:
24 feet, 24 feet, 30 feet
Step-by-step explanation:
edge 2020
The given perimeter of 108 feet, and length of the longer side of 30 feet,
gives the following length of the other sides;
24 feet, 24 feet, 30 feetWhich method can be used to find the lengths of the sides?A kite has two pairs of adjacent sides having equal length
Let x represent the length of one of the shorter sides, we have;
The perimeter of the kite = 2 × x + 2 × 30 = 108Which gives;
x = (108 - 2 × 30) ÷ 2 = 24
The length of one of the short side, x = 24 feet
The kite has 2 sides of length 24 feet and 2 sides of length 30 feet
The lengths of the other sides are therefore;
24 feet, 24 feet, 30 feetLearn more about kites here:
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I NEED HELP! with these 5, & 7?
Answer:
5 is -20
7 is -5
Answer:
[tex]5. \: -8/ -2 × -5 = -20[/tex]
[tex]7. \: \\ -25/5 × -40/8 = - 25[/tex]
[tex]have \: a \: safe \: life[/tex]
Write the sentence as an equation.
225 is 68 divided by t
Answer:
[tex] \frac{225}{68} = t[/tex]
Graph the inequality below on a number line
[tex]x < - 2[/tex]
show questions
Your total cost C to skate at Skate Days is a $2 skate rental plus an additional $3.25 for each hour Chat
you skate.
Write a function rule to represent the situation.
19
Is this situation continuous or discrete? Explain your reasoning.
Create a sign that Skate Days can display at the counter that tells people how much it will cost
for each hour they skate (include 1-5 hours on your sign)
Skate City has free skate rental but charges $4 for each hour.
Which skating rink would you choose to go to?
Why did you make that choice? Use mathematical reasoning to support your answer. Lo
Answer:
The cost is a fixed $2, plus $3.25 for any additional hour.
Then if you rent it for x hours, the cost is:
c(x) = $2 + $3.25*x
Is this situation continuous or discrete?
Yes, it is discrete, because x is "the number of hours"
so if you rent it for 1.30 hours, they will say "ok, this is equivalent to two hours".
This means that while the values of x are continuous, the possible costs are:
{$2, $2 + $3.25, $2 + 2*$3.25, ....}
Which is a discrete set.
Then the sign for 1 to 5 hours will be:
1 hour ---------- $2 + $3.25 = $5.25
2 hours -------- $2 + 2*$3.25 = $8.50
3 hours--------- $2 + 3*$3.25 = $11.75
4 hours--------- $2 + 4*$3.25 = $15
5 hours -------- $2 + 5*$3.25 = $18.25
In the other park the cost is only $4 for each hour (no fixed cost) then the total cost for x hours is:
c(x) = $4*x
Now, which option is better?
If we look at the costs for different numbers of hours for this other equation, we have:
1 hour ----- $4
2 hours ---- 2*$4 = $8
3 hours ----- 3*$4 = $12
4 hours ------ 4*$4 = $16
Then: if you want to skate 2 hours or less, Skate City is cheaper, if you want to skate more than that, kate Days is cheaper.
This happens because the first one has a smaller slope, meaning that is larger at first, but as x grows the price does not grow as much as in Skate City
En mi familia tres primos cumplimos años el mismo día y la abuela quiere regalarnos dinero a los tres para que nos compremos lo que deseamos.Sin embargo,a cada uno nos gustan cosas de diferentes precios,yo deseo gastar el dinero en un día de salida al cine y comer en algún restaurante,para lo cual mi abuela me dio 2 veces mas que el dinero que le dio a reiner;mientras que julio quiere un reloj y recibió cuatro veces lo que recibió reiner.El más pequeño de todos es reiner,el quiere dos juegos de xbox ¿que cantidad de dinero nos dio la abuela a cada uno por los cumpleaños, si en total por los tres sumaron $6000?
Answer:
Tu recibiste = $1714,3
Reiner recibió = $857,1
Julio recibió = $3428,6
Step-by-step explanation:
Podemos encontrar el dinero que recibieron todos mediante la siguiente expresión:
[tex] A + R + C = 6000 [/tex]
Dado que A recibió 2 veces más que el dinero que Reiner y C recibió 4 veces lo que recibió Reiner, entonces:
[tex] 2R + R + 4R = 6000 [/tex]
[tex] R = \frac{6000}{7} = 857,1 [/tex]
Ahora, podemos encontar cuanto recbieron los otros dos primos:
[tex] A = 2R = 2*\frac{6000}{7} = \frac{12000}{7} = 1714,3 [/tex]
[tex] C = 4R = 4*\frac{6000}{7} = \frac{24000}{7} = 3428,6 [/tex]
Por lo tanto, tu recibiste $1714,3, Reiner recibió $857,1 y Julio recibió $3428,6.
Espero que te sea de utilidad!
Use the following coordinate plane to write the ordered pair for each point .
A (,)
B(,)
C(,)
Answer:
A(-4.5,-3), B(0,2), C(4,1)
Step-by-step explanation:
u just look at their positoions and u go to left side or right side first, then up or down.
left and down are negative.
right and up are positive.
Write the negation of the following statement.
An obtuse angle measures 85°.
Choose the correct answer below.
A. An obtuse angle does not measure 85º.
B. An obtuse angle measures greater than 90°.
C. An acute angle measures 85º.
D. An acute angle does not measure 85°
Answer:
B. An obtuse angle measures greater than 90°.Step-by-step explanation:
An obtuse angle measures 85°.It is incorrect as obtuse angle is greater than 90°
Correct answer
B. An obtuse angle measures greater than 90°.help!! please if can i need answer
simplify the expression:
(x^3y^n/z^m+1)^k
Can you please check if this is correct
Answer:
here it is
Step-by-step explanation:
hope you understand
-12n + 3(n +
36)
Please helppp
Answer:
-9n+108
Step-by-step explanation:
-12n+3(n+36)
-12n+3n+108
-9n+108
Answer:
-9n+108
Step-by-step explanation:
distribute then combine like terms
write these sentences as an inequality.
1. eighteen is less than 2 times the sum of a number and 6.
2. five plus the quotient of a number and -1 is greater than 0.
Also this one!
And without you guys I would fail lol so thank you <33
Answer:
Charlotte is right; m=1/3
Step-by-step explanation:
On the graph, you can pick 2 points to find slope with slope formula:
(y2-y1)/x2-x1)
Two points we can choose from the graph are (0,0) and (1,3).
Now we plug these into our formula:
(1-0)/(3-0)
1/3
HTH :)
PLEASE HELP ME!!!!!
Answer:
The number pattern is that the decimal point moves one place to the left each time.
Next three numbers: 7.3456, 0.73456, 0.073456
Step-by-step explanation:
how do i figure this out?
the answer is 34
in order to find answer:
enter tan^-1( 2/3 into calculator
2 is on oppisite side and 3 is on adjacent so we use tan = o/a
The scale of a model airplane is shown in the graph
Answer:5/3
Step-by-step explanation:
HURRY GETTING TIMED Which values are two of the possible solutions to the equation?
Which values are two of the possible solutions to the equation?
Sine (5 x minus pi) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction, 0 less-than-or-equal-to x less-than 2 pi
Left-brace StartFraction pi Over 20 EndFraction, StartFraction 3 pi Over 20 EndFraction right-brace
Left-brace StartFraction pi Over 4 EndFraction, StartFraction 7 pi Over 4 EndFraction right-brace
Left-brace StartFraction pi Over 4 EndFraction, StartFraction 7 pi Over 20 EndFraction right-brace
Left-brace StartFraction 5 pi Over 4 EndFraction, StartFraction 7 pi Over 4 EndFraction right-brace
The possible values of the solutions to the equations are; (π/4, 7π/4)
How to solve trigonometric equations?
We are given the equation;
sin(5x - π) = (√2)/2
Now, (√2)/2 is also expressed as 1/√2.
Thus;
sin(5x - π) = 1/√2
5x - π = sin⁻¹(1/√2)
5x - π = π/4
5x = π + π/4
5x = ⁵/₄π
Thus;
x = π/4
Now, since x < 2π, then it means it is in the fourth quadrant. Thus;
x = 7π/4
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I only have 10 minutes left!! I need to know the answer!!!
I WILL MARL BRAINLY
Answer:
x<1
Step-by-step explanation:
Answer:
x<1
Step-by-step explanation:
Distributive Property Practice
Remember: Multiply BOTH pieces inside the parentheses by the number outside of the parentheses.
4(3x+ 2)
3(7y-1)
5(3p + 4r)
3(2w - 5y)
10(10e + 7g)
8(2b + 5)
7(c + 7)
9(6a +x)
Answer:
1: 12x + 8
2: 21y - 3
3: 15p + 20r
Step-by-step explanation:
i have so much work and im am sad plz help me for geometry or I'm going to fail
Answer: First option, “22”
Step-by-step explanation:
Which expressions are equivalent to
K/2
?
Answer:
Your answer would be k+k because you're adding a number by itself which is the same as multiplying by 2
What are the slope and y-intercept of the line 3x – 2y = 12?
Answer:
Slope: 3/2
Y-intercept: (0,-6)
Step-by-step explanation:
Use the slope-intercept form y=Mx+b to find the slope m and y intercept b.
Please help me I need the answer ASAP
PLEASE HURRY! WILL GIVE BRAINLEST TO THE BEST ANSWER!
How do i get the equation: 2x+3y=1,470 to slope intercept form. please provide steps :))
Answer:
y= -2 +490
3
Step-by-step explanation:
y=mx+b is the slope intercept form of a like where m is the slope and b is the y intercept
Answer:
y=-2/3x+490
Step-by-step explanation:
As we know the formula for slope intercept form would be y=mx+b
therefore we arrange our numbers in the following manner:
First subtract 2x from 2x so it'll be like 2x-2x and they cancel each other out so keep that in mind, now what you do on one side you have to do it on the other side as well therefore you'll putt -2x on the other side now we are left our equation as 3y=1,470-2x
Second, as we want our form to be slope intercept form I believe that y should be by it self and to do that you need to divide 3 from y, now remember that what you do on one side you have to do it on the other. So you'll divide 3 from all the numbers on the other side. Now on the other side we have 1,470-2x so we will divide 1,470/3=490 and -2x/3 now we are left with y= 490-2/3x ( i left -2/3x as that because dividing makes it a decimal and a decimal and the fraction has the same value so I just left it as a fraction)
Thirdly, sense we want our equation as a slope intercept form we will need to rearange our equation which we need to keep in mind the form which is y=mx+b so that makes it to our answer y=-2/3x+490
Hope this helps :)
Prices for Soup
Price A
Price B
Price C
$3.87 for 3
$2.38 for 2
$8.75 for 7
Which gives the prices in order, from greatest to least unit rate?
Price B, Price C, Price A
Price A, Price C, Price B
Price C, Price A, Price B
Price B, Price A, Price C
Answer:
A, C, B
Step-by-step explanation:
A $3.87 ÷ 3 = $1.29 each
B $2.38 ÷ 2 = $1.19 each
C $8.75 ÷ 7 = $1.25 each
greatest to least would be A, C, B
I hope this helps, please mark Brainliest, thank you!
Civil engineers are designing a section of road that is going to dip below sea level. The road's curve can be modeled by the equation y = 0.00005x2 - 0.06x, where x is the horizontal distance in feet between the points where the road is at sea level and y is the elevation. The engineers want to put stop signs at the locations where the elevation the road is equal to sea level. At which horizontal distances will they place the stop signs?
Answer:
1200feet
Step-by-step explanation:
Given the the road's curve elevation modeled by the equation
y = 0.00005x^2 - 0.06x,
x is the horizontal distance in feet between the points where the road is at sea level and;
y is the elevation
The elevation the road is equal to sea level when y = 0
Substitute y = 0 into the equation and calculate x;
0 = 0.00005x^2 - 0.06x
0.06x = 0.00005x^2
0.06 = 0.00005x
x = 0.06/0.00005
x = 1200 ft
Hence they will place the stop sign at a horizontal distance of 1200feet