Answer:
See the steps below:)
Step-by-step explanation:
Expression is equivalent to (2x+3)(3x²−2x+5) is 6x³+5x²+4x+15.
What are equivalent expressions ?An expression can be of many types numerical expressions, Algebraic expressions.We can also form these mathematical expressions from a given statement or by observing a real world scenario.
Equivalent expressions are same expressions in different forms.To check whether an expression is equivalent to another expression or not we just need to do some algebraic manipulations.Like distributing or taking common and other algebraic and arithmetic operations.
According to the given problem we have to write an expression which is equivalent to the expression (2x+3)(3x²-2x+5).
(2x+3)(3x²-2x+5)
= (2x+3)(3x²-2x+5)
=2x(3x²-2x+5)+3(3x²-2x+5) (now we will distribute)
=6x³-4x²+10x+9x²-6x+15
=6x³+5x²+4x+15.
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A red light flashes every 6 seconds.
A yellow light flashes every 4 seconds.
They both flash at the same time.
After how many seconds will they next both flash at the same time?
Answer:
Red light flashes once every 6 seconds, blue light flashes once every 10 seconds, so the next time the blue light flashes(20 seconds), the red light would have completed 18 seconds and the next time blue light flashes (30 seconds), the red light would also be flashed at the same time.
Step-by-step explanation:
estimate a 15% tip for a 19.80 meal.
Answer:
$3.00
Step-by-step explanation:
The tip would equal to $2.97 so the answer is $3.00 that is your estimate
price of a
the
of a microwave
Loven was marked down
from $187.50 to $150.00.
what
was the percent
decrease in price.
Answer:
20%
Step-by-step explanation:
$187.50 - 20% = $150.00
Please help me find the median to this table
Please help me with this one??
Answer:
Y =-25x +225
Step-by-step explanation:
First you can count the gradient first. Use then you can count y intercept
Write an equation of the line that contains
point (3,-1) and is parallel to the equation
y+3x=2.
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Help with this’d the question?
Here’s the options ..
A (1,2)
B (3,1)
C (3,2)
D (-3,-2)
E (3,-2)
Answer: C
Step-by-step explanation:
The two lines meet at (3,2). always read these things by doing the horazontal line and then the vertical one.
The point W is plotted on the coordinate grid below. Plot the point W’ , the reflection of W over the y-axis.
( ignore where I put a dot I just needed it to see the bottom )
PLEASE HELP ASAP
Answer:
W: (-3,5)
W': (-3,-5)
Y coordinate
Step-by-step explanation:
if you want me to explain it I can in the comments thing
In the plot the coordinates of W is (-3 , 5 ) , and the reflection will be W' (-3 , -5)
What do you mean by reflection in a graph ?
A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.
When reflecting a figure in a line or in a point, the image is congruent to the preimage.
A reflection maps every point of a figure to an image across a fixed line.
So in the plot the coordinates of W is (-3 , 5 )
and the reflection will be W' (-3 , -5)
The plot of W and W' is attached with the answer.
To know more about reflection
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Answer each question and round your answer to the nearest whole number
Answer:
New width = 12 in.
Step-by-step explanation:
Original height = 2 in.
Original width = 3 in.
New height = 8 in.
New width = x = ?
The shape of the original painting and the shape of the new painting are similar, therefore, the ratio of their corresponding linear measurement will be equal.
Thus:
New height/original height = new width/original width
8/2 = x/3
Cross multiply
2x = 3*8
2x = 24
2x/2 = 24/2
x = 12
New width = 12 in.
Identify a, b and c in the quadratic equation.
-x2 + 31x + 7 = 0
Answer:
a is -1
b is 31
c is 7
Step-by-step explanation:
-x^2+31x+1=0
ax^2+bx+c=0
The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.
Why are the events not independent?
The sum of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is not equal to P(A and B).
The sum of P(A) and P(B) is not equal to P(A and B)
Answer:
the correct answer is the product of PA) and P(B) is not equal to P(A and B)
Select all the correct answers.
Based on these sets of side lengths, which triangles are right triangles?
8 units, 15 units, V75 units
08 units, 3 units, V73 units
16 units, 30 units, V50 units
5 units, 7 units, 174 units
Answer:
08 units, 3 units, V73 units
Step-by-step explanation:
Pythagoras theorem can be used to determine which sets of side lengths are for a right triangle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
8² + 15² = √289
8² + 3² = √73
16² + 30² = √1156
only the second option is correct
find the cosine ratio of angle Θ.
Answer:
8/17
Step-by-step explanation:
Cosine is adjacent over hypotenuse (CAH as in SOH CAH TOA) so the ratio would be 8/17
which is the solution to the inequality y - 27 - 13
Answer:
-40
Step-by-step explanation:
y−27−13
=y+−27+−13
Combine Like Terms:
=y+−27+−13
=(y)+(−27+−13)
=y + −40
what is the value of (-35) divided by (5/7)?
Answer:
-49
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
4 divided by 1/3=___
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Uh... hope someone answer it hehe -,-
1-opposite angles are congruent
2-consecutive angles are supplementary
3-diagonals of a parallelogram divide the parallelogram into two congruent triangles
4-diagonals of a parallelogram bisect each other
help!! What is 78,400,000 expressed in scientific notation?
A. 78.4 x 10
B. 7.84 x 10
C. 78.4 x 10
D. 784 x 10
To print tickets, a printer charges a $30 setup fee plus $1.05 per ticket. Write an algebraic expression for the cost of t tickets. What is the cost of 300 tickets?
an explanation 2 plz thx
Answer:
Solution given:
we have
setup price =$30
as rate for 1 print tickets =$1.05/tickets
so
for t
t=$30+$1.05*t
is a required expression.
the
cost of 300 tickets:
300 tickets =$30+$1.05*300=$345
$345is the cost of 300 tickets.
Need help thanks please :)
Answer:
t:
[tex] \infty , - \infty [/tex]
meaning any number can substitute t and it would be the same answer.
What is -5+56<1 please and thank you
What is the m_ACB?
O 10°
B.
0 50°
(4x)
O 90°
O 180°
(7x-20)
С
Answer:
180
Step-by-step explanation:
90 + 4x + 7x - 20 equals to 180
Answer:
B. 50
Step-by-step explanation:
After 4 years eldi will be three times the age he had 10 years ago. Using algebra find the age of eldi
Suppose that Eldi has x years old now :
x + 4 = 3 × ( x - 10 )
x + 4 = 3x - 30
Add both sides 30
x + 4 + 30 = 3x - 30 + 30
x + 34 = 3x
Subtract both sides x
x - x + 34 = 3x - x
34 = 2x
2x = 34
Divide both sides by 2
2x ÷ 2 =34 ÷ 2
x = 17
_____________________________
Thus Eldi is 17 .
PLEASE PLEASE HELP I REALLY NEED THIS!! THANK YOU
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Answer:
12 right 6 up (12,6) and 3:1 or 3
Step-by-step explanation:
Luis, Pedro y Ernesto fueron a comer pizza. Entre Luis y Ernesto comieron el doble que Pedro. Pedro comió el doble que Ernesto. Entre los 3 se comieron una pizza ¿Qué porción se comió cada uno?
Answer:
Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.
Step-by-step explanation:
Dado que Luis, Pedro y Ernesto fueron a comer pizza, y entre Luis y Ernesto comieron el doble que Pedro, y Pedro comió el doble que Ernesto, y entre los 3 se comieron una pizza, para determinar qué porción se comió cada uno se debe realizar el siguiente cálculo:
L + P + E = 1
L + E = 2P
P = 2E
L + E = 4E
L = 4E - E
L = 3E
3E + 2E + E = 1
6E = 1
E = 1/6
E = 0.166
P = 0.166 x 2
P = 0.333
L = 0.166 x 3
L = 0.5
L = 1/2
Por lo tanto, Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.
Find the indicated limit, if it exists.
Answer:
[tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Constant]: [tex]\displaystyle \lim_{x \to c} b = b[/tex]
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Limit Property [Addition/Subtraction]: [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]
Step-by-step explanation:
*Note:
When you graph the function, the left-hand and right-hand limit does equal the same.
Step 1: Define
[tex]\displaystyle f(x) = \left \{ {{x + 9, x < -8} \atop {-7 - x, x \geq -8}} \right.[/tex]
Step 2: Find Limit
Substitute in function [Limit]: [tex]\displaystyle \lim_{x \to -8} f(x) = \lim_{x \to -8} (-7 - x)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to -8} f(x) = -7 - (-8)[/tex]Simplify: [tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
How many more lawns can logan mow per hour thanhow many more lawns can logan mow per hour than brian brian
Answer:
Logan can mow 1 lawn per hour more than Brian
Step-by-step explanation:
Given
[tex]Logan: 8\ lawns \to 4\ hours[/tex]
See attachment for Brian's graph
First, calculate Logan's hourly rate
[tex]Rate = \frac{Lawn}{Time}[/tex]
[tex]Rate = \frac{8\ lawns}{4\ hours}[/tex]
Rate = 2 lawns per hour
To calculate Brian's rate, we select 2 points from the linear graph
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,2)[/tex]
So, the rate is:
[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Rate = \frac{2 - 1}{2 - 1}[/tex]
[tex]Rate = \frac{1}{1}[/tex]
Rate = 1 lawn per hour
So, we have:
[tex]Logan = 2[/tex]
[tex]Brian = 1[/tex]
Calculate the difference (d)
[tex]d = Logan - Brian[/tex]
[tex]d = 2 - 1[/tex]
[tex]d = 1[/tex]
Logan can mow 1 lawn per hour more than Brian
Niveen makes muffins and sells them for $0.65 each. To make 12 muffins, she must spend $5.25 on muffin mix, $0.75 on vegetable oil, and $0.87 on eggs. The smallest batch of muffins Niveen can make is 12 muffins.
what would result in Niveen earning a profit?
Answer:
selling 36 muffins at a discount rate of 10% off the original price
Step-by-step explanation:
match the equation below