My father is 42 years old as obtained from the cubic polynomial's real root.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
let my age be x years.
So, My mother is (x + 25) and my father is (x + 28) years.
∴ {x(x + 25)(x + 28) = 32130.
(x² + 25x)(x + 28) = 32130.
x³ + 53x² + 700x = 32130.
x³ + 53x² + 700x - 32130 = 0.
Now solving this has only one real solution x = 17.
So, My father is (17 + 25) = 42 years old.
learn more about cubic polynomials here :
https://brainly.com/question/28081769
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y=5x+1 graph the equation
This is how you would graph y=5x+1
Find the unknown length x in the right triangle, to the nearest tenth .
Answer:
x = 11.7
Step-by-step explanation:
sin of an angle is opposite/hypotenuse
sin 38 = x/19
x = 19 sin 38
x = 11.7
You need to memorize the definitions of all the trig functions and then this type of problem will be easy for you.
20 POINTS
Translations
7
Acellus
Find the image of the given point
under the given translation.
Help Resources
P(3,-5) T(x, y) = (x +4, y-3)
P' = ([?], []).
Enter the number that belongs in
the green box.
Enter
Answer:
The number that belongs in the green P' = ([?], [ ]) with P' = (7, -8) box is;
7
Step-by-step explanation:
The coordinate of the given point 'P' is P = (3, -5)
The preimage of (x, y) after the translation, [tex]T_{(x, \ y)}[/tex] = (x-coordinate + 4, y-coordinate - 3)
Therefore, the translation, [tex]T_{(x, \ y)}[/tex] = T₍₄, ₋₃₎
Therefore, we have;
Preimage P(3, -5) under the translation T₍₄, ₋₃₎ gives the image P' as follows
P(3, -5) [tex]\overset{T_{\left ( 4, \, -3 \right )}}{\rightarrow}[/tex]P'(3 + 4, -5 - 3) = P'(7, -8)
Therefore, the number that belongs in the green box is the x-coordinate value of the point P'(7, -8) which is seven.
anyone no 8th grade math if so please help my sister out
Answer:
2/5
Step-by-step explanation:
you want to start with the point on the left and then count 2 up to the line that the other point is on than you count over 5 to the point on the right
then you put rise over run which makes it 2/5
Answer:
2/5
Step-by-step explanation:
rise over run formula
Therefore the slope is increasing by two fifths units.
2/5 is your answer. ❤
Brainliest please!? ✌
can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.
Also put two of these words in it Although or so unless.
40 points
the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead
(this is english not math change your question when you have to do this again)
The perimeter of the triangular park shown on the right is 11x - 7. What is the missing length?
Answer:
6x-4
Step-by-step explanation:
the perimeter is the distance around the shape, we get this by adding all the sides, call the missing side y and set up an equation for the perimeter
11x-7 = 4x+2 + x-5 + y
solve for y
11x-7 = 5x -3 + y
11x-4 = 5x + y
6x-4 = y
Lisa goes out to eat with her family and spends 42.50. she gives the waiter 15% tip .how much money does she spend in total ?
Answer:
Step-by-step explanation:
1.15×$42.50 = $48.875 ≅ $48.88
Answer:
$48.88
Step-by-step explanation:
42.50 increase 15% =
42.50 × (1 + 15%) = 42.50 × (1 + 0.15) = 48.875
Write 0.4% as a fraction or mixed number in simplest form.
Answer:
4/1000
Step-by-step explanation:
What is the annual rate of inflation (percent of inflation) of a gallon of milk costing $2.25 last year and $2.70 this year
Answer:
20%
Step-by-step explanation:
Braxton has money in a savings account. The equation B = 800(1 + 0.03) can be used to calculate the amount
of money in dollars, B. Braxton has in his account after t years since opening the account.
Pam also has money in a savings account. The equation P=800(1 +0.04) can be used to calculate the
amount of money in dollars, P, Pam has in her account after t years since opening the account.
Choose from the drop down menus to correctly complete each sentence.
Braxton's initial investment Choose...
• Pam's initial investment.
The interest on Braxton's account Choose...
• the interest on Pam's account.
Answer:
Braxton's initial investment is equals to (=) Pam's initial investment.
The interest on Braxton's account is less than (< ) the interest on Pam's account.
Step-by-step explanation:
Given - Braxton has money in a savings account. The equation
B = [tex]800(1 + 0.03)^{t}[/tex] can be used to calculate the amount of money
in dollars, B, Braxton has in his account after t years since opening
the account.
Pam also has money in a savings account. The equation
P=[tex]800(1 + 0.04)^{t}[/tex] can be used to calculate the amount of money in
dollars, P, Pam has in her account after t years since opening the
account.
To find - Braxton's initial investment ..........Pam's initial investment.
The interest on Braxton's account .....the interest on Pam's account.
Proof -
As given, Broxton equation is - [tex]800(1 + 0.03)^{t}[/tex]
Pam equation is - [tex]800(1 + 0.04)^{t}[/tex]
Now,
1.)
For initial investment , Put t = 0
⇒B = [tex]800(1 + 0.03)^{0} = 800(1) = 800[/tex]
P = [tex]800(1 + 0.04)^{0} = 800(1) = 800[/tex]
As for t = 0
Braxton's equation , B = Pam's equation,P
⇒Braxton's Initial investment = Pam's initial investment.
2.)
For the interest,
As we don not have time for which the interest has to be check.
So , let the time period = 5 years
Therefore,
B = [tex]800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.1593) = 927.42[/tex]
P = [tex]800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.2166) = 973.32[/tex]
Now,
Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127
Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173
∴ we get
The interest on Braxton's account is less than the interest on Pam's account.
PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)
this killing me pls help ♀️
what is the value of x?
Answer:
68
Step-by-step explanation:
c=√a^2+b^2
√ 60^2 + 32^2 =68
We will use the Pythagorean Theorem
[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]
A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?
Answer:
1.5 Feet
Step-by-step explanation:
15 x .1 = 1.5
I NEED HELP ITS KINDA EASY BUT NOT FOR ME
Answer:
28m
Step-by-step explanation:
Formula of area
AREA = LENGTH (multiply) BREATH
Answer:
The area of a triangle can be calculated with the formula: 1/2(bh), where b is the base length, and h is the height.
In this case, 4 is the base, and 7 is the height.
So we have: Area = 1/2(4)(7)
Simplifying: Area = 2(7), Area = 14.
The area of the triangle is 14 meters squared.
Let me know if this helps!
8x=2 what is the value ofx
Answer:
0.25
Step-by-step explanation:
8x=2
[tex] = > x = \frac{2}{8} [/tex]
[tex] = > x = \frac{1}{4} or \: 0.25(ans)[/tex]
Step-by-step explanation:
8x=2
= > x = \frac{2}{8} =>x=
8
2
= > x = \frac{1}{4} or \: 0.25(ans)=>x=
4
1
or0.25(ans)
3.(x + 2) + (2x + 3) = 23
Answer:
x = 6
Step-by-step explanation:
(x + 2) + (2x + 3) = 23
Combine like terms
3x +5 = 23
Subtract 5 from each side
3x+5-5 = 23-5
3x = 18
Divide each side by 3
3x/3 = 18/3
x = 6
Answer:
x = 6
Step-by-step explanation:
1. Remove parentheses where unneeded. x + 2 + 2x + 3 = 23
2. Add constants. x + 5 + 2x = 23
3. Combine like terms. 3x + 5 = 23
4. Subtract "5" from the constants on both sides of the equation. 3x = 18
5. Divide both sides by 3. 3x/3 = 18/3
6. Simplify. x = 6
Find the exact value of inverse cos (square root of 3/ 2.
Answer:
that I have attached my application for you to have a couple months but I'm thinking it's all threads a small for more about an automatically ke you don't you to join our next few different to see a look great and you want them so it in for her the
Answer:
30° is the exact value of cos invers
PLEASE MARK ME AS BRAINLIEST
wasssssupppppppppppppp
Answer:
Wasssupppp yallll
ANYONE PLZ PLZ PLZ ANSWER THIS QUESTION
Answer:
120
Step-by-step explanation:
you add em all up then you find the answer choice
An Xbox has a retail price of $350. Best Buy is offering a 15% discount on the system. How much will the Xbox cost after the discount?
Answer:
About 297.50$
becuase since i actually have an xbox with that same discount i know the answer
Answer:
you will pay 297.50$
you are saving 52.50$
Judy uses 12 tiles to make a mosaic. 8 of the tiles are blue. what fraction ,in simplest form, represents the tiles that are blue
Applying Properties of Parallelograms, Rhombi, Rectangles, and Squares
Given the following parallelogram: Solve for x,
19x + 8
17% - 50
9514 1404 393
Answer:
x = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so the two marked segments are the same length.
17x + 50 = 19x + 8
42 = 2x . . . . . . . . . . subtract 8+17x
21 = x . . . . . . . . . . . divide by 2
Solve the following problem:
5x - 3 = 4x + 3
A. x = 5
B. x = 6
C. x = 7
Answer:
x=6
Step-by-step explanation:
Step 1: Subtract 4x from both sides.
5x−3−4x=4x+3−4x
x−3=3
Step 2: Add 3 to both sides.
x−3+3=3+3
x=6
Answer:
B.
Step-by-step explanation:
5x-3+3=4x+3+3
5x=4x+6
5x-4x=4x+6-4x
x=6
What's the greatest ten you can multiply by 8 to get close to, but not go over 629
Answer:
i guss 8× 77 = 524 which is close to it
Answer: 8 x 70 = 560
16d + 20c + 5d -7 - 8c - 7d + 3 Simplify the expression above:
Answer:
14d + 12c -4
Step-by-step explanation:
2) Find the area. *
7 points
12 cm
2 cm
4 cm
6 cm
24
O 12
36
48
Answer:
36cm
first we extend one of the half lines.
now we have 2 rectangles with sides
6cm and 4cm and 2cm and 6cmusing area of rect formula we find the area of both the rects separately and then add them
What's the largest 6-digit multiple of 5 that has all different digits? I'll give Brainliest to anyone who helps.
Answer:
987650Step-by-step explanation:
The largest 6-digit number is:
999999We need all digits different and the last one 0 or 5 because the number is the multiple of 5.
9876 are the first 4 digits and the last two 50 or 45, we'll chose 50 as 45 is smaller.
So the number is:
987650Answer:
987650 hag1 !!!
Can someone help me solve this (solution must contain a point (x,y).
Answer:(6,2)
Step-by-step explanation:
Photomath
Answer:
x=6
y=2
(x,y)=(6,2)
.................................
8.
A taxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile traveled. The rule c = 0.40m + 1.75 describes the relationship between the number of miles m and the total cost of the ride c.
a. What is the charge for a 1-mile ride?
b. What is the charge for a 2.7-mile ride?
A. $2.15; $2.83
B. $0.40; $5.13
C. $0.40; $1.08
D. $1.75; $2.15
Answer:
A. $2.15; $2.83
Step-by-step explanation:
2.83
c = 0.4. * 2.7 + 1.75
=> c = 2.83
4(2.7)+1.75
1.08+1.75=2.83
$2.83 is correct.
c=0.40(2.7)+1.75
c=1.08+1.75
c=2.83
Answer:
2.83 dollars
Step-by-step explanation:
Fixed charges made by the taxi company for a ride =
Additional charge for each mile travelled =
Hence equation for cost is given by
where m is thenumber of miles travelled.
To find out the charge for a 2.7 mile ride substitute m = 2.7
Total cost for 2.7 mile ride is 2.83 dollars
Answer: A
Step-by-step explanation: