Answer:
see image
Step-by-step explanation:
put a point on .5 on the x axis and a point on -3 on the y axis draw a line through them and shade the space under the line
Find the value of c so that the polynomial p(x) is divisible by (x-3).
p(x) = -x^3 + cx^2 -4x + 3
Answer:
c = 4.
Step-by-step explanation:
If p(x) is divisible by (x-3) then p(3) = 0 (By the Factor Theorem), so
-(3)^3 + (3)^2c - 4(3) + 3 = 0
-27 + 9c - 12 + 3 = 0
9c = 27 + 12 - 3
9c = 36
c = 4.
Answer:
4
Step-by-step explanation:
What is the value of x in the equation 5x+3=4x?
Answer:
x = -3
Step-by-step explanation:
5x + 3 = 4x,
x + 3 = 0,
x = -3
Answer:
the answer for this would be -3
using trig find the missing angle
Answer:
sh ma at me Ej as he be as h
Step-by-step explanation:
c my zzz bb
dbdgj dd d
sin(24) = x/16
x = 6.51
(2x+1)(x-1)=0
2x-10=5+3x
Step-by-step explanation:
2x-3x=5+10
-x=15
X=-15
2x+1=0.... 1
X-1=0
X=1......2
Substitute the value of x in equation 1
2*1+1=0
2=1
So the value of x is 1 and 2
Answer:
x=-1/2
x=1
x=-15
Step-by-step explanation:
Simplify: -2.6(5-c)-c+8
Answer:
1.6c - 5
Step-by-step explanation:
-2.6 (5 - c) - c + 8
-13 + 2.6c - c + 8
1.6c -13 + 8
1.6c -5
please answer asap no wrong answers pls
Hi there!
[tex]\large\boxed{\frac{1}{5}, \frac{21}{5}}[/tex]
In order to set each equation equal to each other, we must have them both equal the same variable.
Rearrange the top equation to make it equal to y:
x - y = -4
Add 4 to both sides and add y to both sides:
x + 4 = y
Now, we can set both equations equal to each other:
x + 4 = 5(x + 1)² - 3
Begin solving by expanding the square binomial:
x + 4 = 5(x² + 2x + 1) - 3
Simplify:
x + 4 = 5x² + 10x + 5 - 3
x + 4 = 5x² + 10x + 2
Bring all terms to one side:
0 = 5x² + 9x - 2
Factor:
0 = (5x - 1)(x + 2)
Set the other factor equal to 0:
5x - 1 = 0
5x = 1
x = 1/5
Plug in this value of x into an original equation:
1/5 - y = -4
1/5 + 4 = y
1/5 + 20/5 = y
y = 21/5
please help meeeeeeeeeeeeee
Answer:
a)-2x(x+4x²)+3(x²+2x)
-2x²-8x³+3x²+6x
-2x²+3x²+6x-8x³
x²-8x³+6x
in descending order
-8x³+x²+6x
b)(4x-3)(4x+3)
4x(4x+3)-3(4x+3)
16x²+12x-12x-9
16x²-9
I hope this helps and sorry if it's wrong
Age of Yusuf is 24 years more than half the age of Ajay. 5 years before sum of their ages was 41. Find their present ages.
Answer:
Yusuf is 33 and Ajay is 18
Step-by-step explanation:
Let Y and A stand for the ages of Yusuf and Ajay, respectively.
We are told that:
(1/2)A + 24 = Y [Age of Yusuf is 24 years more than half the age of Ajay]
(A-5)+(Y-5) = 41 [5 years before sum of their ages was 41]
Take the definition of Y in the first equation and use it in the second:
Y = (1/2)A+24 from the first equation
(A-5)+(Y-5) = 41 The second equation
(A-5)+(((1/2)A + 24)-5) = 41 Replace Y with (1/2)A+24
(A-5)+(1/2)A + 24-5 = 41
A-5+(1/2)A + 24-5 = 41
(3/2)A + 14 = 41
(3/2)A = 27
A = (2/3)(27)
A = 18
Ajay is 18 years old
Yusuf is Y=(1/2)(18)+24
Yusuf is 33 years old
====
Check: Is Yusuf 24 years more than half the age of Ajay?
Ajay = 18, so (1/2)18 = 9. Add 24 years to get 33. Yes, this works since Yusuf is 33 years old
Was the sum of their ages = 41 five years ago?
Ajay would have been 13 and Yusuf would have been 28 28+13 = 41 YES
Please hurry due tomorrow morning!!!
Jazzie and Jocelyn are racing on a track.Jazzie runs 4 miles per hour and gets a 0.25 mile head start. Jocelyn runs 0.5 miles per hour faster than Jazzie. If Jocelyn and Jazzie run the same distance, how many hours, x, do they run?
F. 4x + 0.25 = 0.5x
G.4x + 0.25 = 4.5x
H.4x + 0.25 =3.5 x
J. 4x - 0.25 = 3.5 x
Answer:
G: 4x + 0.25 = 4.5x
Step-by-step explanation:
1. since Jazzie runs 4 mph add .5 to that to get Jocelyn's speed of 4.5 mph
2. Since Jazzie has a head start add .25 to 4x to get 4x + 0.25 = ?
3. put Jocelyn's speed in the question Mark to get 4x + 0.25 = 4.5x
The amount oRs.4500 for 5 ye is 8550 8550. Find the interest and the rate of interest
Answer:
Step-by-step explanation:
We have;
P = 4500
A = 8550
T= 5 years
I= ?
R=?
We know,
A= P+I
or, 8550=4500+I
∴I=8550-4500= 4050
Now, I= PTR/100
Or, 4050= (4500*5*R)/100
Or, 4050=45*5*R
Or, R= 4050/225
∴R= 18%
can someone explain step by step how to get the answer?
Answer: x³+8x²+11x-20
Step-by-step explanation:
To find which polynomial has the roots of -5, -4, and 1, we want to first put them into an equation.
-5 is the same as x+5=0
-4 is the same as x+4=0
1 is the same as x-1=0
Now that we have the factors, we can multiply them together.
(x+5)(x+4)(x-1) [FOIL]
(x²+4x+5x+20)(x-1) [combine like terms]
(x²+9x+20)(x-1) [FOIL]
x³-x²+9x²-9x+20x-20 [combine like terms]
x³+8x²+11x-20
Therefore, x³+8x²+11x-20 is the correct polynomial with those roots.
(PICTURE) Im really struggling with questions like these at the moment, if you could please help me out thank you
Answer:
Arthur should select the Mount Joy Pool when there are less than 10 people at the party
Step-by-step explanation:
The initial fee to rent the Woodbridge Pool = $50
The additional fee per person after renting = $5
The initial fee to rent at Mount Joy Pool = 0 (no initial fee)
The fee per person at Mount Joy Pool = $10
The equation of a straight line is y = m·x + c
Ley y represent the total cost of renting the pool, x, represent the number of persons in the pool, m represent the fee per person and c represent the initial charges, we get;
The total cost of renting Woodbridge Pool, y = 5·x + 50
The total cost of renting the Joy Pool, y = 10·x
Equating both values of y gives;
5·x + 50 = 10·x
∴ 5·x = 50
x = 50/5 = 10
x = 10
From the above equations, the cost of renting the pool is lower for the Joy Pool when there are less than 10 persons at the pool
It will cost the same amount to rent the pool when the number of persons in the pool are 10 persons and the cost of renting the Mount Joy Pool will be more than the cost of renting the Woodbridge Pool, when there are more than 10 persons
Therefore, Arthur should select the Mount Joy Pool when there are less than 10 people at the party.
Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.
In this question, we want to find the average rate of change of a function over an interval, it represents by how much f(x) changes when x changes by 1.
Average rate of change:
The average rate of change of a function over an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]f(x) = 2x^3 + 4[/tex]
Between x = 4 and x = 6, so [tex]a = 4, b = 6[/tex]. Then
[tex]f(a) = f(4) = 2*4^3 + 4 = 132[/tex]
[tex]f(b) = f(6) = 2*6^3 + 4 = 436[/tex]
Then
[tex]A = \frac{436 - 132}{6 - 4} = 152[/tex]
Thus, the average rate of change of the function is of 152, that is, when x changes by 1, y changes by 152.
For another problem involving an average rate of change, you can check https://brainly.com/question/14481908
Shown below is a piece of information on the sale of passenger vehicles that appeared in a newspaper. How many multi purpose vehicles were sold in the year 2006?
70,000 multi purpose vehicles were sold in the year 2006
First we need to know the equivalent of 1 lakh.
1 lakh = 100,000
From the table shown, we can see that 0.7 lakh multipurpose vehicle were sold in 2016.
Converting 0.7lakh to thousands:
0.7lakh= 0.7 × 100,000
0.7lakh = 70,000
This shows that 70,000 multi purpose vehicles were sold in the year 2006
Learn more: https://brainly.in/question/2811622
a marathon runner can jog one mile in 7.5 minutes. how many miles can the runner complete in 3.5 hours
1 hour = 60 minutes
3.5 hours x 60 = 210 minutes
210 minutes / 7.5 minutes per mile = 28 miles
Answer: 28 miles
Given a sphere with radius r, the formula 4x1/2 gives
A. the volume
B. the surface area
C. the radius
D. the cross-sectional area
Answer:
c. the radius
Step-by-step explanation:
To calculate the radius of a sphere:
r = d x ½
where d = diameter
6-
С
5
B
B
4-
3-
D
2-
A
А
1-
0
-7
-5
0
-6
.4
-3
-2
-1
2
3
4
5
6
-10
-2-
-3-
-4-
Which of the following sequences of transformations is used to obtain figure A'B'C'D' from ABCD?
Answer: -1
Step-by-step explanation:
Look at the patter it has
Is the answer option c?
Answer:
yes
Step-by-step explanation:
f(x) = x^2 -1
Hope it helps!!
Graph the line that has a slope of -7/4 and includes the point (0,10).
Answer:
y=-7/4x +10
Step-by-step explanation:
that the graph, you can plug the equation in desmos,
hope it helps! :)
The distance AB rounded to the nearest tenth = [?]
Answer:
4.5 units
Step-by-step explanation:
Use the distance formula
[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]
[tex]\sqrt{16+4}=\sqrt{20}[/tex]
The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
Meaning of DistanceDistance can me defined as a measure that tells us how far apart two objects or individual are to each other.
Distance is very important as it helps us know where exactly things are located and whether they are close or far apart
In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
Learn more about Distance: https://brainly.com/question/17273444
#SPJ2
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
Answer:
57m^2
Step-by-step explanation:
First we need to find the area of both shaded and not shaded regions. Since we are solving area for 2-D images we will use the equation Area=length(with)
Shaded Region: 11(9)=99
Unshaded Region: 8(6)=42
Now we subtract the shaded region with the unshaded region to get an area of 57 Meters. Therefore the area of the shaded region is 57m^2
Answer: 57m^2 is the answer
what is the formula to get combined mean value
Answer:
The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5
calculate the price with VAT of the following case.
MP=Rs.400000
profit=Rs.20000
Discount=10%
VAT=13%
Answer: $427140
Step-by-step explanation:
Firstly, we'll add MP to the profit and this will be:
= Rs 400000 + Rs 20000
= Rs 420000
Since there is a discount of 10%, this will then be:
= 420000 - (10% × 420000)
= 420000 - 42000
= $378000
With a VAT of 13%, then the final price will be:
= $378000 + (13% × $378000)
= $378000 + (0.13 × $378000)
= $378000 + $49140
= $427140
Fiona y sus amigas fueron a una tienda de batidos. Pidieron tres batidos de fresa y dos batidos de proteínas por un total de $ 24,00. La semana pasada pidieron un batido de fresa y cuatro batidos de proteínas por un total de $ 25,50. El sistema que representa sus compras se encuentra a continuación. x + 4 y = 25,50 3 x + 2 y = 24,00 ¿Cuál es el precio de un batido de proteínas? $ 3,75 $ 4.50 $ 4.95 $ 5.25
Answer:
Un batido de proteínas cuesta $ 5,25.
Step-by-step explanation:
El sistema de ecuaciones descrito al final del enunciado coincide con lo descrito al comienzo del mismo, de modo que podemos concentraron casi exclusivamente en la resolución del sistema en cuestión, la cual se describe a continuación:
Este es el sistema a resolver:
[tex]x + 4\cdot y = 25,50[/tex] (1)
[tex]3\cdot x + 2\cdot y = 24,00[/tex] (2)
Donde [tex]x[/tex] es el coste de un batido de fresa y [tex]y[/tex] corresponde al coste de un batido de proteínas:
1) Despejamos [tex]x[/tex] en (1):
[tex]x = 25,50 - 4\cdot y[/tex]
2) Eliminamos [tex]x[/tex] en (2):
[tex]3\cdot (25,50 - 4\cdot y) + 2\cdot y = 24,00[/tex]
[tex]76,50 - 12\cdot y +2\cdot y = 24,00[/tex]
3) Simplificamos y despejamos [tex]y[/tex]:
[tex]10\cdot y = 52,50[/tex]
[tex]y = 5,25[/tex]
Un batido de proteínas cuesta $ 5,25.
Simplify the following
Answer:625/16 or 39,0625
Step-by-step explanation:
=5*5/2*5÷2*3/5*3
=160/64÷8/125
=625/16 or 39,0625
Answer:
Alternate form is 1525.87891
A survey was taken of students in math classes to find out how many hours per day students spend
on social media. The survey results for the first., second-, and third-period classes are as follows:
First period: 2,4,3,1,0, 2, 1, 3, 1,4,9,2,4,3,0
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Third period: 4,5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1,3
Which is the best measure of center for second period and why? (5 points)
1. Mean, because there are no outliers that affect the center
2. Median, because there is 1 outlier that affects the center
3. Interquartile range, because there is 1 outlier that affects the center
4. Standard deviation, because there are no outliers that affect the center
Answer:
1. Mean, because there are no outliers that affect the center
Step-by-step explanation:
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4
The mean = ΣX / n
n = sample size, n = 15
Mean = 34 / 15 = 2.666
The median = 1/2(n+1)th term.
1/2(16)th term = 8th term.
The 8th term = 2
The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.
Both interquartile range and standard deviation are measures of spread and not measures of centre.
Solve for b.
7
b
12
b= ✓ [?]
Pythagorean Theorem: a2 + b2 = c2
Enter
Answer: [tex]b=\sqrt{95}[/tex]
Step-by-step explanation:
To solve for b, we want to use the Pythagorean Theorem as given.
b and 7 are the legs, and 12 is the hypotenuse.
[tex]7^2+b^2=12^2[/tex] [exponent]
[tex]49+b^2=144[/tex] [subtract both sides by 49]
[tex]b^2=95[/tex] [square root both sides]
[tex]b=\sqrt{95}[/tex]
Now we know [tex]b=\sqrt{95}[/tex].
Which of the following statements is false?
A. Opposite sides of a parallelogram are congruent.
B. The diagonals of a parallelogram bisect each other.
C. A rhombus is a parallelogram.
D. A rhombus is a regular polygon.
Answer:
D
Its isnt a regualr polygon because its sides are not all equilingular like a sqaure triangle octagon and so on
What is the simplest radical form of the expression? (8x^5y^3)^(2/3)
Step-by-step explanation:
(8x⁵y³)^(2/3)
= 8^(2/3)×(x^(5×2/3))×(y^(3×2/3))
= 4×x^(10/3)×y^(2)
= 4y²(³√x¹⁰)
find the mean value of the following. 5, 11, 4, 10, 8, 6