Answer:
Ishaan is 21. Christopher is 7.
Answer: Ishann is 21 years old.
Step-by-step explanation:
In this situation, we will represent Ishaan age by the variable y and we will represent Christopher's age by x.
Ishaan is 3 times as old as Christopher and that can be represented by the equation, y = 3x
He is also 14 years older, and it can also be represented by the equation,
y = x + 14.
y= 3x
y = x + 14
Using both equations, substitute the value of y in one of the equations into the other.
x + 14 = 3x Solve for x .
-x -x
14 = 2x
x = 7
This means that Christopher is 7 years old.
To solve for Ishaan's age , input the value of x into one of the equations.
y = 3(7)
y = 21.
Let g be a polynomial function of x where g(x) = 2x^3+ 3x^2-5x-6 . If (x+2) is a factor of g, write an equation for g as the product of linear factors
Answer:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
Step-by-step explanation:
Given polynomial [tex]g[/tex]:
[tex]g(x) = 2x^3+ 3x^2-5x-6[/tex]
A factor of polynomial is [tex](x+2)[/tex].
To find:
Equation of the polynomial as the product of linear factors.
Solution:
First of all, let us divide the polynomial [tex]g[/tex] with [tex](x+2)[/tex] to find the other factors.
As degree of polynomial is 3, when divided by a linear equation, it will result in a quadratic.
That quadratic will have 2 solutions.
Solving the quadratic in linear will give us the answer.
Result of division:
[tex]\dfrac{2x^3+ 3x^2-5x-6}{x+2} =2x^2-x-3[/tex]
Now, solving the quadratic:
[tex]2x^2-x-3 = 2x^2-3x+2x-3 \\\Rightarrow x(2x-3)+1(2x-3)\\\Rightarrow (x+1)(2x-3)[/tex]
So, the linear equation can be written as:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
just say bruh plz it would be funny enjoy the points
Answer:
bruh bruh bruh burh ty sm
Bru i finna dip chip & let it rip
sorry br*h is censored for some reason
Give 3 examples of integers which are greater than −2
Answer: -1 would be greater than negative two, along with 20, 1000.
-2 is a negative number, so any number that is -1 or higher is greater than -2
Answer:
1,2,3
Step-by-step explanation:
I need help this is my last question (math class)
Answer:
Step-by-step explanation:
5.00 for 2 loaves is $2.50 a loaf.
She wants 5 loaves for $12.50
5*2.50= $12.50 so she is correct.
I would appreciate any help
0.6 divided by what equals 2.5
Answer:
1.5
Step-by-step explanation:
Do the reverse/opposite/check division with multiplication.
2.5 · 0.6 = 1.5
The slope of the line whose equation is 6x = 4y - 7 is
A. 04
B. 2/3
C. 3/2
Isaiah and Cooper work at a dry cleaners ironing shirts. Isaiah can iron 25 shirts per hour, and Cooper can iron 30 shirts per hour. Cooper worked twice as many hours as Isaiah and they ironed 340 shirts between them. Write a system of equations that could be used to determine the number of hours Isaiah worked and the number of hours Cooper worked. Define the variables that you use to write the system.
Answer:
See Explanation
Step-by-step explanation:
[tex]25x + 30y = 340\\y = 2x\\[/tex]
x=number of hours Isaiah worked.
y=number of hours Cooper worked
factor 7x+35 PLEASE HELP
Answer:
7(x+5)
Step-by-step explanation:
The greatest common factor is 7
7*x + 7*5
Factor out the 7
7(x+5)
rewrite this expression
[tex] \sqrt[5]{x} [/tex]
Isaac buys a plant that is 3 inches tall. After one week the plant is 5 inches tall. After a second week the plant is 7 inches tall. At this rate, how tall will the plant be after the fifth week? a 15 inches tall b 2 inches tall c 13 inches tall d 11 inches tall
Answer:
C 13 inches
Step-by-step explanation:
Because the plant grows two inches every week so if by the second week it is 7 inches tall just add 3 more weeks or 6 inches of growth to the 7 inches and you get your answer 13 inches
help ill give you brainliest
Which equation is a line that passes through the points (4, 5) and (0, -3)?
Answer:
y = 2x - 3
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 ) = (4, 5) and (x₂, y₂ ) = (0, - 3)
m = [tex]\frac{-3-5}{0-4}[/tex] = [tex]\frac{-8}{-4}[/tex] = 2
The line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = 2x - 3 ← equation of line
HELP!! FAST!!! PLZ!! I'll GIVE BRAINLYEST!!!!!! 10 POINTS!!!!
Which statement is TRUE about perpendicular lines?
A. The lines are in the same place but never intersect.
B. The lines are not in the same plane.
C. The lines intersect at an acute angle.
D. The lines intersect at a right angle.
(They nerved gave me a picture!!!!)
Answer:
A im sure
Step-by-step explanation:
Step-by-step explanation:
D. The lines intersect at a right angle
If f(x) = 4x - 8, what is the value of f(-3)?
Answer:
-20
Step-by-step explanation:
f(x)= 4x-8 f(-3)
y= 4(-3) -8
y= -12 -8
y= -20
What is 325.623 rounded to the nearest tenth?
Answer:
325.6
Step-by-step explanation:
80$ markup 25% help...
Answer:
20!
Step-by-step explanation:
Answer: 25% of 80 is 20 so if you need to add them it would be 100 and if you need to minus it would be 60
Step-by-step explanation:
Which statement correctly describes the relationship between the graph of f (x) and the graph of g(x) = f (x) – 4
Answer:
g(x) will be 4 units under f(x), and will be parallel.
Step-by-step explanation:
The only thing changing is the constant, or y-intercep. This is shown in -4, so 4 units lower. Slope will stay the same because it has not been modified in the expression for g(x).
Answer:
The graph of g(x) is the graph of f(x) translated 4 units down.
Step-by-step explanation:
c). The local bus service has 2 lines of buses that start together at 8
a.m. Buses on line A leave after every 15 minutes while Buses on line
B leave after every 20 minutes. In a day, how many times do buses on
both line A and B leave together between 8 a.m. and 11 a.m.
Answer:
3 times
Step-by-step explanation:
Firstly we calculate the number of minutes between 8 and 11 am
The number of hours is 3 hours
The number of minutes is 180 minutes since 1 hour is 60 minutes
Now out of 180, to know the number of times that they both leave, we need to get the multiples of both between 0 and 180
The multiples are;
60, 120, 180
This means that they leave together 3 times
I need serous help like now Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie's cube has a side length of 2 1\2 centimeters, what is the volume of her cube? Show your work. Make sure that you include the correct unit of measure in your answer.
Answer:
[tex]V=15.62\ cm^3[/tex]
Step-by-step explanation:
The volume of a cube is given by the formula :
V = s³, where s represents the side length of the cube
The side length of Marie's cube is [tex]2\dfrac{1}{2}\ cm[/tex]. We need to find the volume of her cube. For this, we can use the formula of the volume of a cube such that,
[tex]V=(2\dfrac{1}{2})^3\\\\=(\dfrac{5}{2})^3\ cm^3\\\\=\dfrac{125}{8}\ cm^3\\\\=15.62\ cm^3[/tex]
So, the volume of her cube is [tex]15.62\ cm^3[/tex].
A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Answer:
The volume of water in the pool over time from when the hose is placed in the pool until the pool is full is defined by the equation and its graph is given below.
Explanation:
The total capacity of the pool is 20,000 gallon.
It is given that the pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour. So the initial volume of water is 5000.
Let the time is defined by t. So, the volume of water in the pool after time t is defined as,
The capacity of the pool is 20,000 gallon, therefore the maximum value of V(t) is 20,000.
The maximum value of t is 12, since the time is always positive, therefore we can say that,
The below graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full. The initial point is (0,5000) and the other point is (12,20000).
Answer:
the two points will be (0,5000) and (12,20000
Step-by-step explanation:
PLZ HELP I've been working on this for half the day, and I can't stand it. Solve and show your work.
Answer:
(5, 50)Step-by-step explanation:
Equation for weight of toy cars:
y = 9x + 5Equation for weight of toy trucks:
y = 6x + 20Solving the system by substituting y:
9x + 5 = 6x + 209x - 6x = 20 - 53x = 15x = 15/3x = 5y = 9*5+5 = 50Intersection point is (5, 50)
See attached graph
0
ef
gh
A. dº + fº = 180° B. gº + fº =
C. Cº + f 0 = 180° D. bº + 0 =
The circumference of a circle is 88c
Calculate the radius of the circle.
A. 14cm
B. 42cm
C. 56cm
D. 28cm
and 415.
About 28cm
circumference of a circle =radius×3.14
3.14÷circumference of the circle (88cm)=28.04.
About 28cm.
determine the angle of x :p
Answer:
x=-10 I think?? because they are congruent
Polygon ABCD slides 4 units left and 3 units up on the coordinate plane. If the original measure of angle A was 75 degrees, what is the measure of angle A'? 75 degrees 100 degrees 105 degrees 180 degrees
Answer:
A 75
Step-by-step explanation:
i did flvs
Answer:
75 degrees im doing the test now
Step-by-step explanation:
A mixture of green paint contains 9 pints of blue paint and 12 pints of yellow paint. To make the same shade of green paint using using 21 pints of blue paint, how much yellow would you need?
Answer:
28 pints of yellow paint needed
Step-by-step explanation:
Mixture of green paint = 9 pints of blue paints : 12 pints of yellow paint
Blue paint : yellow paint = 9 : 12
To make the same shade of green paint using using 21 pints of blue paint, how much yellow would you need?
Let
x = pints of yellow pint needed
Blue paint : yellow paint = 21 : x
Equate the ratios to find x
Blue paint : yellow paint
9 : 12 = 21 : x
9/12 = 21/x
Cross multiplication
9 * x = 12 * 21
9x = 252
Divide both sides by 9
x = 252 / 9
= 28
pints of yellow pint needed = x
= 28
Help Please! Determine if the two triangles are congruent.
Answer:
AAS
Step-by-step explanation:
Hope this helps
a
(10x – 23)
137°
b
What is the converse?
Answer:
x=16 alternate interior angles converse
Step-by-step explanation:
2/3 ( 12 n + 6 ) − 1 5 ( 10 n − 2 )
Answer:
34-158n
Step-by-step explanation:
First factor:
8n+4-150n+30
Then combine like terms
34-158n
Answer: -142n+34
Step-by-step explanation:(2/3)(12n)+(2/3)(6)+(-15)(10n)+(-15)(-2)
=-142n+34
X/12 - 9= 1 what is x?
Answer:
x = 120
Step-by-step explanation:
x/12 - 9 = 1
Inverse operations
x/12 - 9 = 1
+9 +9
x/12 = 10
*12 *12
x = 120
Answer:
x=120
Step-by-step explanation: