Monica has been saving her spare change. So far she has saved 40 coins for a total of $6.25. Some of the coins are quarters (25 cents) and the rest are dimes (10 cents). How many of each coin does she have?
Use elimination to solve.
{q+d=40
{25q+10d=625
Answer:
10 quarters
40 dimes
Step-by-step explanation:
q + d = 40
25q + 10d = 625
25 > 10
q < d
25(10) = 250
10(40) = 400
$2.50 + $4.00 = $6.00
Answer:
15 quarters and 25 dimes
Step-by-step explanation:
Consider the transformation: (x, y) =(x + 2 y + 5). Find the
coordinates of B(-9, 1) after the transformation.
Answer:
B' (- 7, 6 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x + 2, y + 5 )
This means add 2 to the original x- coordinate and add 5 to the original y- coordinate, then
B (- 9, 1 ) → B' (- 9 + 2, 1 + 5 ) → B' (- 7, 6 )
PLEASE HELP!! GIVEN THE FOLLOWING TABLE OF DATA FROM A QUADRATIC EQUATION
the last numbers are 9/7 and 10/16
please help me,i am in struck.
Answer:
Step-by-step explanation:
perimeter of rectangle=2(length + breadth)
=2(2p+q+p)
=2(3p+q)
=2*3p+2*q
=6p+2q cm
Step-by-step explanation:
Hey there!
From the figure;
Length (l) = 2p + q cm
Base (b) = pcm
Now;
Perimeter (p) = 2(l+b)
P = [2(2p+q) + p]
or, P = 2(3p+q)
or, P = 6p + 2qcm.
Therefore, perimeter (p) = 6p+2q cm.
Hope it helps!
What is the slope?
A. 1/2
B.2
C.-1/2
D.-2
What is a sequence of transformations?
12n^2+12n+9=0
Please solve!
Answer:
n = (1/2)(-1 ± i√2)
Step-by-step explanation:
Among the several ways in which quadratic equations can be solved is the quadratic formula. Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac: 12^2 - 4(12)(9) = 144 - 432 = -288. The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots. These roots are:
-b ± √(discriminant)
n = ---------------------------------
2a
Here we have:
-12 ± √(-288) -12 ± i√2√144 -12 ± i12√2
n = ---------------------- = ------------------------ = --------------------
2(12) 24 24
or:
n = (1/2)(-1 ± i√2)
Help please help please
Answer:
[tex]option \ C[/tex] [tex]3\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{|2a| - b}{3} \ , \ given \ a = \ 7 \ , \ b \ =\ 4\\\\\frac{|2 \times 7| - 4}{3} = \frac{14 - 4}{3} = \frac{10}{3} = 3\frac{1}{3}[/tex]
What is the meaning of a projection of one vector to another?
Estimate 5.209 + 2.667 by
rounding to the nearest
hundredth
Answer:
8!!
Step-by-step explanation:
5+3
The mean temperature for the first 4 days in January was -2°C. The mean temperature for the first 5 days in January was 0°C. What was the temperature on the 5th day? 0°C
Answer:
-11 is the answer
Solve the system of equations by substitution.
y=6 and 3x - y = 26?
what is the solution?
Answer:
in point form the answer is (32/3 , 6)
in equation form the answer is x=32/3 , y=6
PLEASE ANSWER THIS QUESTION I ONLY HAVE 30 MINUTES!!!! I WILL GIVE YOU BRAINLIEST!!!! Broccoli costs 3.14 a pound at the market. Aunt Jaime bought 2.5 pounds. what is the cost? PLS ANSWER I NEED TO MAKE MY SISTER BREAKFIST!!!!
Answer:
The final cost is 7.85
Step-by-step explanation:
Take 3.14 and multiply it by 2.5
: Show that the solution of the differential equation: = − − − − − is of the form: + + ( − ) = + , When = and =
Answer:
[tex]y = \tan(x + \frac{x^2}{2})[/tex]
Step-by-step explanation:
Poorly formatted question; The complete question requires that we prove that [tex]y=\tan(x+\frac{x\²}{2})[/tex]
When
[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex] and [tex]y(0)=0[/tex]
We have:
[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex]
Rewrite as:
[tex]\frac{dy}{dx} =1+x+xy\²+y\²[/tex]
Factorize
[tex]\frac{dy}{dx} = (1+x)+y\²(x+1)[/tex]
Rewrite as:
[tex]\frac{dy}{dx} = (1+x)+y\²(1+x)[/tex]
Factor out 1 + x
[tex]\frac{dy}{dx} = (1+y\²)(1+x)[/tex]
Multiply both sides by [tex]\frac{dx}{1 + y^2}[/tex]
[tex]\frac{dy}{1+y\²} = (1+x)dx[/tex]
Integrate both sides
[tex]\int \frac{dy}{1+y\²} = \int (1+x)dx[/tex]
Rewrite as:
[tex]\int \frac{1}{1+y\²} dy = \int (1+x)dx[/tex]
Integrate the left-hand side
[tex]\int \frac{1}{1+y\²} dy = \tan^{-1}y[/tex]
Integrate the right-hand side
[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex]
[tex]y(0)=0[/tex] implies that: [tex](x,y) = (0,0)[/tex]
So:
[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes
[tex]\tan^{-1}(0) = 0 + \frac{0^2}{2} + c[/tex]
This gives:
[tex]0 = 0 +0 + c[/tex]
[tex]0 =c[/tex]
[tex]c = 0[/tex]
The equation [tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes
[tex]\tan^{-1}y = x + \frac{x^2}{2} + 0[/tex]
[tex]\tan^{-1}y = x + \frac{x^2}{2}[/tex]
Take tan of both sides
[tex]y = \tan(x + \frac{x^2}{2})[/tex] --- Proved
Select the correct answer. Let f(x) and g(x) be polynomials as shown below.
Answer:
f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.
Step-by-step explanation:
First, to be closed means that once an operation has commenced, the result is a polynomial, just like the two original ones.
When polynomials are multiplied, exponents simply add together, and constants are multiplied. A polynomial is a finite sum of terms in which all variables have whole numbered exponents.
In this scenario, when we multiply polynomials, exponents are solely added together, and one whole number plus another is still a whole number. Similarly, constants multiplied by constants stay as constants, and constants multiplied by variables keeps it in polynomial form. (e.g. 3 * x² makes it 3x², and 3x² is fine in a polynomial).
Therefore, given these facts, f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.
can someone help me I don't understand
Answer:
D: (4, 6)
Step-by-step explanation:
undefined slope is when the line is vertical
so we are given a point (4, -1)
the best point that will make the slope undefined is D because it will make a vertical slope
Can someone please help me!
1, 2, 3, 4, 5, 6, 7, 8, i don't know, and i haven't ate, 9, 10, 11, 12, this really sucks cuz ur on ur own :(
How do I do this? (Will give Brainliest) (Instructions if you could please)
Answer:
C
Step-by-step explanation:
Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
The length of each side of the square is (3x-2) units
The dimensions of the rectangle are (5x + 4y) and (5x -4y) units
Factoring an expressionFrom the question, we are to factor out the given expression for the area of the square
The expression is
9x² − 12x + 4
Factoring
9x² − 12x + 4
9x² −6x -6x + 4
3x(3x -2) -2(3x-2)
(3x -2)(3x -2)
Hence, the length of each side of the square is (3x-2) units
Part B:
The given expression is
25x² − 16y²
Factoring
25x² − 16y²
By difference of two squares, we get
(5x + 4y)(5x -4y)
Hence, the dimensions of the rectangle are (5x + 4y) and (5x -4y) units
Learn more on Factoring an expression here: https://brainly.com/question/11660720
#SPJ1
Consider f(x) = 3x^2 – 14 and g(x) = –12x + 4. Which statements about f + g is true? Select all that apply.
Answer:â
Step-by-step explanation:
f(x)+g(x)=3x^2-14-12x+4=3x^2-12x-10
Can someone Help me solve this please
Answer:
12
Step-by-step explanation:
The expression 3c + 24 represents the amount of cookies you sell and the expression 5c represents the amount of cookies your sister sells. If we want to find when they become equal, we must set them equal to each other:
3c + 24 = 5c
24 = 2c
12 = c
Therefore, the answer is 12.
The cost of 9 trousers is $72 . Find the cost of 12 trousers
Answer:
x=96
Step-by-step explanation:
We can solve by writing ratios
9 trousers 12 trousers
------------------- = ----------------------
72 dollars x dollars
Using cross products
9x = 12 *72
9x =864
Divide by 9
9x/9 = 864/9
x=96
By what number should -5/27 be divided to get -7/20?
Answer:
Step-by-step explanation:
Find the area of this semi-circle with radius, r = 6cm.
Give your answer as an expression in terms of pi
Answer:
72π (I think)
Step-by-step explanation:
Think of it in terms of the entire circle. A semi-circle is just half a circle, so the area of a semicircle will be half of the area of the entire circle. The radius of the semicircle is 6, so the radius of the whole circle is 12. Then, we can do [tex]\frac{pi*r^{2} }{2}[/tex] to get the area of the semicircle is 72π. I'm pretty sure that's right. Let me know if I made a mistake somewhere.
Which of these describe a scenario in which the given quantity changes at a constant rate with respect to time? Select
all that apply.
A. A town's population increases by 218 people every 2 years.
B. There are 1,240 people exiting a football stadium every 10 minutes.
C. A country's population increases by 1.65% each month.
D. The number of registered voters in a county decreases by 0.25% each year.
Answer: A,B
Step-by-step explanation: the numbers constantly add up only by 218 or 1240 , C and D would not be correct because the rate of change increases as will with the total sum after each period of time
also tiny hint, if you were to draw an X,Y axis graph, A and B would be a straight line while C and D are curved up-wards
Which of the following best describes the graph of the polynomial function
below
O A. The graph has one zero.
B. The graph has two zeros.
O C. The graph has infinitely many zeros.
D. The graph has no zeros.
Answer:
A
Step-by-step explanation:
A zero in a polynomial function is what the variable is equal to to make the function equal to 0. In the graph, there is only one point that is on the x, 0. Meaning there is only one zero.
8. Find the tolal surface area of the net below. 4 triangular and 1 rectangle
Help me pls!!!!
PLEASE HELP THANK YOU ANSWER QUICKLY
Answer:
No, because you can't have a negative number of owls.
The correct answer is C
HELP URGENT !!!!!!!
Please help me with this
Answer:
a one is the answer for 1st questionIm stuck on this hegarty maths question help me please
Answer:
540 g flour
4 tsp baking powder
8 tbsps sugar
520 mL milk
4 eggs
8 tbsps oil
Step-by-step explanation:
Multiply each ingredient by 4!
Because the initial recipie provides the amounts for 6, simply divide 24/6 and you'll find that you only need 4x the original recipie.
135g*4 = 540
1 tsp*4 = 4 etc!