At what point does the graph of 3x + 4y = 15 intersect the graph of x^2 + y^2 = 9? Express any non-integer coordinate as a common fraction.
Answer
12 and 36 and 13
If you need an explanation;
let's first isolate x in 3x + 4y = 15 ---
x = (15 - 4y) / 3
now substitute as x in the second equation provided ---
((15 - 4y) / 3)^2) + y^2 = 9,
((15 - 4y) / 3)^2) +( 3y/3)^2 = 9,
((15 - 4y)^2 + (3y/3)^2)/3^2 = 9,
225 - 120y +25y^2/9 = 9,
225 - 120y +25y^2 = 81,
25y^2 - 120y + 144 = 0
we now solve using the quadratic formula ---
[tex]y_{1,\:2}=\frac{-\left(-120\right)\pm \sqrt{\left(-120\right)^2-4\cdot \:25\cdot \:144}}{2\cdot \:25}\\=\frac{-\left(-120\right)\pm \sqrt{0}}{2\cdot \:25}\\=\frac{-\left(-120\right)\pm \sqrt{0}}{2\cdot \:25}\\\\= 12/5[/tex]
So then x = (15 - 4*12/5)/3 = 9/5. Our solution = (9/5, 12/5)
The first person to answer this correctly get Brainliest
All three points are displayed on the line. Find an equation relating x and y.
the equation has to be X= and Y= and then fine the slope
charlie and his sister had a garage sale charlie made $23.25 at the sale and his sister made $30. how much more did charlie's sister make at the garage sake than charlie
Answer:
6.75 i think might be rongw
Step-by-step explanation:
Answer:
6.75 i think
Step-by-step explanation:
The least common multiple of two numbers is 84, and one of the numbers is 5 less than the other number. What are the numbers? Complete the explanation.
The two numbers are __ and __.84 is a multiple of each of its factors. The factors with a difference of 5 are__ and __ their LCM is 84.
Answer:
factor 1 = x
factor 2 = x - 5
(factor 1) * (factor 2) = 84
(x) * (x - 5) = 84
x² - 5x = 84
x² - 5x - 84 = 0
(x - 12) (x + 7) = 0
x - 12 = 0 or x + 7 = 0
x = 12 or x = -7
factor 2 = x - 5 = (12) - 5 = 7 or (-7) - 5 = -12
Answer: 12, 7 or -7, -12
Answer:
Below.
Step-by-step explanation:
84 = 7 * 12.
The 2 numbers are 7 and 12.
12 and 7 have a difference of 5.
A laptop has a listed price of $759.95 before tax. If the sales tax rate is 7.25%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$815.05
Step-by-step explanation:
7.25% x $759.95 = 55.10
7.25% = 55.10
$759.95 + $55.10 = £815.05
i did not round it, this is the answer on the calculator so not sure how to round it sorry
Pls help meh ;-;
giving brainliest for who ever answers it right.
Answer:
Part A: WORK(Below) Part B: WORK (Below)
1) 2(2x-3)+2(x+4)=50 1) (2x-3) (x+4)
2) 4x-6+2x+8=50 2) 2(8)-3 (8+4)
3) 4x+2x+2=50 3) 16-3= 13 12
4) 6x+2=50 13* 12
-2 -2 Answer= 156
5) 6x=48
6 6
6) Answer: x=8
Step-by-step explanation: (PART A BELOW)
Step one (1): Multiply 2 times 2x and -3 multiply 2 times x and 2 times 4
Step four (4): Subtract -2 from 2 and 50
Step five (5): Divide 6x=48 by 6
Step Six (6): Answer: x=8
Step-by-step explanation: (PART B BELOW)
Step one (1): x equals to 8
Step Two (2): 2 times 8 which equals to 16 subtract -3
Step Three (3): 16-3=13
Step Four (4): (x+4)
Step Five (5) (8+4)=12
Step Six (6): 13 times 12
Step seven (7): Answer: 156
What is the Lenght and Width of the Graden?
156
A baker makes 24 cookies in 4 hours. At this rate,
how many cookies can the baker make in 10
hours?
help this is IMPORTANT!!!!
Answer:
The baker will make 60 cookies in 10 hours.
Complete the table. (if u dont know how to do it then pls answer another question)
Answer:
The original price is 112.5
Step-by-step explanation:
80% of 112.5 is 90
brainliest plzz
Consider the function f(x) = 2x^2 - 4x + 9. Evaluate 2f(3) + 3f(-3).
Answer: 147
Step-by-step explanation:
To evaluate 2f(3)+3f(-3), we first need to find the values of f(3) and f(-3). Given f(x), we just plug in x=3, -3 into f(x).
f(3)=2(3)²-4(3)+9 [exponent]
f(3)=2(9)-4(3)+9 [parenthesis]
f(3)=18-12+9 [subtract]
f(3)=6+9 [add]
f(3)=15
Now, we find f(-3).
f(-3)=2(-3)²-4(-3)+9 [exponent]
f(-3)=2(9)-4(-3)+9 [parenthesis]
f(-3)=18+12+9 [add]
f(-3)=30+9 [add]
f(-3)=39
With the values of f(3) and f(-3), we can evaluate the expression.
2(15)+3(39) [multiply]
30+117 [add]
147
Now, we know the value is 147.
What is the overlap of Data Set 1 and Data Set 2?
high
moderate
low
none
PLZ HALP ME!!! eek
I will give brainliest, 5 stars, and a thanks
Answer: x = 6
Step-by-step explanation:
Which equation is linear?
A) [tex]y=4/x-2[/tex]
B) [tex]y=x-3/4[/tex]
C) [tex]y=2x^2-10[/tex]
D) [tex]y=2x(x-4)[/tex]
Answer:
B
Step-by-step explanation:
the way that i was taught was that if you want to find out if a equation is linear is if you it cant have an exponential in it equation and it cant be a fraction and cant have a parenthesis(for the beginning it cant be a fraction or have a exponent.
What is the ratio of the number of days in the week that begin with the letter "T" to the number of days in the week that do not begin with the letter "T"?
7 over 2
2:5
5 over 7
2 to 7
If you answer correctly you get brainliest!!
Answer:
2:5
Step-by-step explanation:
Answer:
2:5
Step-by-step explanation:
HELPPPP look at image
Answer:
She is wrong because each our, she earns 8$. 3 hours would give her $24 and another half-hour would give her 4 more dollars which would bring her to $28
Step-by-step explanation:
Assuming x, y, and z are positive real numbers satisfying:
xy - z = 15,
xz - y = 0,
and yz - x = 0,
then, what is the value of xyz?
Answer:
16
Step-by-step explanation:
X= 4
Y = 4
Z = 1
It all makes sense, you can try it yourslef
Why is place value important when you add and subtract decimals?
Answer:
so u dont subtract 5 from.6 like
Step-by-step explanation:
.6 .6
-5 make it -5.0
brainlyest
Answer: bc it lets u see how accurate the numbers are in other in written from u can get 10 and 2 ixed up due to place vaule not in the right slot
Which equation is non-linear?
A) [tex]y=3x^3-10[/tex]
B) [tex]y=1/2x+4[/tex]
C) [tex]y=4x-5/3[/tex]
D) [tex]-3x--7y=-21[/tex]
Answer:
[tex]\huge\boxed{\text{A is not linear.}}[/tex]
Step-by-step explanation:
Linear equations are equations that, when graphed, form a "line" and have a constant rate of change.
Usually, these are in the form [tex]y=mx+b[/tex] when put in that order.
There are a few types of equations, I'll list some of the major ones
Linear = has a constant rate of changeExponential = increases for x as the exponent Quadratic = is in a binomial, trinomial, or polynomial - it has a vertex
Linear functions are usually in the form [tex]y=mx+b[/tex]
Exponential functions are usually in the form [tex]y=b^x[/tex]
Quadratic functions are usually in the form [tex]ax^2 + bx + c[/tex]
We must note that linear functions can not
A) Have an exponent on any x term
B) Have x and y multiplied by each other
We can see that every equation, except A
A) Follows the form [tex]y=mx+b[/tex] ([tex]-3x--7y=-21[/tex] can be simplified to [tex]y= \frac{3}{7}x-3[/tex])
B) Does not have any exponents on their x terms
That leaves A) to be the equation that isn't linear.
Hope this helped!
Answer:
Equation A is non-linear.
Step-by-step explanation:
We are given four equations in which we need to determine if they are linear or non-linear relationships.
Firstly, we need to know some information about linear equations:
Linear equations cannot have an exponent.Linear equations have a constant slope and are straight lines.Linear equations can be negative or positive.Linear equations have a domain of all real numbers. They also have a range of all real numbers.Now, in order to check this easily, we need to place these equations into slope-intercept form.
Equation A
[tex]\displaystyle y = 3x^3 - 10[/tex]
We see that this has an exponent, so this cannot be a linear equation.
In fact, because it is cubed, this is called a cubic function. Therefore, equation A is not a linear equation.
Equation B
[tex]\displaystyle y = \frac{1}{2}x + 4[/tex]
This equation does not have a exponent. It also has a slope and a y-intercept. Therefore, equation B is a linear equation.
Equation C
[tex]\displaystyle y = 4x -\frac{5}{3}[/tex]
The equation does not have a exponent. It also has a slope and a y-intercept. Therefore, equation C is a linear equation.
Equation D
[tex]-3x--7y = -21[/tex]
First off, we need to get this equation into slope-intercept form, if possible.
[tex]\displaystyle -3x -- 7y = -21\\\\-3x + 7y = -21 \ \ \ \text{Change the sign on 7y.}\\\\7y = 3x - 21 \ \ \ \text{Move 3x to the other side by adding.}\\\\\frac{7y}{7}=\frac{3x-21}{7} \ \ \ \text{Divide both sides by 7 to isolate y.}\\\\\bold{y = \frac{3}{7}x-3}[/tex]
Our final equation is [tex]\displaystyle y = \frac{3}{7}x-3[/tex].
The equation does not have an exponent. It has a constant slope and a y-intercept. Therefore, equation D is a linear equation.
Let's check our equations:
Equation A: [tex]\displaystyle y = 3x^3 - 10 \ \text{X}[/tex]Equation B: [tex]\displaystyle y = \frac{1}{2}x + 4 \ \checkmark[/tex]Equation C: [tex]\displaystyle y = 4x -\frac{5}{3} \ \checkmark[/tex]Equation D: [tex]\displaystyle y = \frac{3}{7}x-3 \ \checkmark[/tex]Therefore, we have determined that Equation A is not a linear equation, making it non-linear.
ok i got your mcdonalds 2 - 4x = 14
Answer:
x= gimme mcdonalds
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
2-4x=12
-2. -2
-4x=12
divide by negative four x=3
I dont get this pls help
Answer:
First and second are functions, third isn't
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
1 and 2 are vertical
Third one is NOT
If skim milk is 87% water, how many cups of skim milk contain 3.58 cups of water?
Answer:
4.11
Step-by-step explanation:
ez math
Answer each question with an explanation, First person to get this right gets brainliest
Answer:
2 is slope
Step-by-step explanation:
d = √(Δy2 + Δx2) = √(82 + 42) = √80 = 8.94427
Distance between x's (Δx) is 4
-2 is y-intercept
m = 8 / 4 = 2 / 1 = 2
Arthur is building a rectangular sandbox for his son. The area of the sandbox is 17 23/32 square feet. If the length of the sandbox is 3 3/8 feet, what is the width of the sandbox? Explain your answer.
What's the measure of ABD, DBK, and KBC? Show all work.
Please, I need help with this. It's due by 9:00 and it's already 7:00 where I live ;-;
Answer:
56.6
Step-by-step explanation:
Since BK is a bisector of ABC at B,
this implies that:
ABC = ABK + KBC
ABC = 28.3 + 28.3
ABC= 56.6
help me plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
for the second space add a zero then multiply 5x5 and 5x2 add that and move the decimal 2 places to the left its infront of your addition answer.
Step-by-step explanation:
I’ve asked 3 times and no one knows pls helpahh
Explanation:
The two angles shown combine to 180 degrees because the angles form a straight line.
(3x+18)+(4x+15) = 180
7x+33 = 180
7x = 180-33
7x = 147
x = 147/7
x = 21
Right triangle ABC is shown below.
On a coordinate plane, a line goes through (0, negative 2) and (3, 1). Triangle A B C has a rise of 4 and run of 3.
A similar right triangle would be created by a rise of 8 and a run of
Answer:
6
Step-by-step explanation:
Im not to sure theirs not enough information
Identify which estimate seems the most reasonable for 5% tax on a $62.00 purchase. Explain.
under $3.00
exactly $3.00
over $3.00
Choose the correct answer below.
A.
The most reasonable estimate is over $3.00. Since 5% of $60.00 is $4.00, 5% of $62.00 would be greater than $3.00.
B.
The most reasonable estimate is over $3.00. Since 5% of $60.00 is $3.00, 5% of $62.00 would be greater than $3.00.
C.
The most reasonable estimate is under $3.00. Since 5% of $60.00 is $3.00, 5% of $62.00 would be less than $3.00.
D.
The most reasonable estimate is exactly $3.00 since 5% of $62.00 is $3.00.
Answer:
the answer is b , thanks
The price of one share of a company declined $1.50 per day for 4 days in a row. What is the overall change in the price of one share?
Answer:
Overall, the price of the share declined by $6.
Step-by-step explanation:
1.5*4=6
5 + 5Consider triangle ABC. Triangle A B C. Angle C is 80 degrees and angles B and A are y degrees. What is the value of y in the triangle? Angle y = °
Answer:
y=50°
Step-by-step explanation:
if all triangles add up to 180° you would subtract the angle you already know(80) from 180 which would be 100°
since there are 2 corners we dont know you would divide by 2 which would be 50°
True or False?
Any set of ordered pairs is called a relation.
Answer:
true
Step-by-step explanation: