Answer:
Correct Equations:-[tex]\sf 5x-y=5 \\ \sf 2y-x=11 [/tex]
solution:-[tex]\sf 5x-y=5\dots\dots(1)[/tex]
[tex]\sf -x+2y=11 \dots\dots (2)[/tex]
We use elimination method By multiplying eq (1) by 2 and eq (2) by 1 we get[tex]{:}\longrightarrow[/tex][tex]\sf 10x-2y=5\dots\dots(3)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -x+2y=11\dots\dots (4)[/tex]
______________________Add eq (3) and eq (4)[tex]{:}\longrightarrow[/tex][tex]\sf 4x=16 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {16}{4}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=4 [/tex]
Substitute the value in eq (2)[tex]{:}\longrightarrow[/tex][tex]\sf -4+2y=11[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2y=11+4 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2y=15 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {15}{2}}[/tex]
[tex]\therefore[/tex][tex]\sf (x,y)=(4,{\dfrac {5}{2}})[/tex]
Answer:
(3, 10 ) and (7, 30 )
Step-by-step explanation:
Given the 2 equations
5x - y = 5 → (1)
2y - x² = 11 → (2)
Rearrange (1) expressing y in terms of x
y = 5x - 5 → (3)
Substitute y = 5x - 5 into (2)
2(5x - 5) - x² = 11
10x - 10 - x² = 11 ← rearrange into standard form
x² - 10x + 21 = 0 ← in standard form
(x - 3)(x - 7) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 7 = 0 ⇒ x = 7
Substitute these values into (3) for corresponding values of y
x = 3 → y = 5(3) - 5 = 15 - 5 = 10 ⇒ (3, 10 )
x = 7 → y = 5(7) - 5 = 35 - 5 = 30 ⇒ (7, 30 )
Alonso brings $21 to the market to buy eggs and avocados. He gets eggs that cost $2.5. Then he notices that the store only sells avocados in bags of 3 for $5. He wants to buy aS many avocados as he can with his remaining money. What is the largest number of avocados that Alonso can afford
Answer:
Step-by-step explanation:
21≤2.50+5s subtract 2.50 from both sides
18.50≤5s divide by 5
s≥3.7 he can buy up to 3 bags at $5 each
Alonso brings $21 to the market to buy eggs and avocados. He gets eggs that cost $2.50. Then he notices that the store only sells avocados in bags of 3 for $5. He wants to buy as many avocados as he can with his remaining money. What is the largest number of avocados that Alonso can afford?
Answer:
9 avocados
Step-by-step explanation:$21.00 - $2.50 = $18.50
3 × $5.00 = $15.00
$18.50 - $15.00 = $3.50
$15 = 3 bags of avocados = 3 bags × 3 avocados = 9 avocados
Multiple Choice An equation of the line
whose slope is 3 and whose y-intercept is 8 is
? ?
A y = 8x + 3
C y = – 3x + 8
Ey = 3x - 8
B y = 3x + 8
D y = - 3x – 8
Answer:
y = 3x + 8
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 )
Here m = 3 and c = 8 , thus
y = 3x + 8 ← equation of line
Can Someone Help Me With This Question PLZ!!!!!!!!!!
Answer:
A. y = [tex]\frac{2}{5}[/tex]x + 1
Step-by-step explanation:
A linear function is a function that has an exponential value of zero or one and that, when graphed, is a straight line. The only equation that fits this description is answer choice A. We can also use the process of elimination to figure out which answer choice is correct.
A: A is the correct answer because it has an exponential value of one, meaning that it will be a straight line.
B: B is incorrect because the x has an exponential value of 2, which tells us that the equation is quadratic, not linear. If you were to graph this equation, it would look like a parabola, not a straight line.
C: C is incorrect for the same reason as answer choice B, the exponential value of this equation is more than one, meaning that the equation can't be linear.
D: D is incorrect because it contains a radical [tex]\sqrt{x}[/tex]. When [tex]\sqrt{x}[/tex] is graphed, it looks like half of a parabola, which isn't a straight line.
a.5÷4 divide and show work
Answer:
1.25
Step-by-step explanation:
1.25
THATS THE ANSWER
✨✨✨✨✨✨✨✨
Which system of equations represents the graph?
Oy = 2x – 5 and 4x + 2y = 8
Oy = 2x – 5 and 2x + 4y = 8
Oy = 3x – 5 and 4x + 2y = 8
Oy = 3x – 5 and 2x + 4y = 8
Answer:
D: 3x – 5 and 2x + 4y = 8
Step-by-step explanation:
I used desmos calculator
PLEASE HELP URGENTLY!!! I WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT.
Answer:
f(-2) = -1
Step-by-step explanation:
Look at x = -2 and find the value of y.
If f(x) = 2x2 − 10, find f(5). (1 point)
a
90
b
10
c
7.5
d
40
Answer:
D 40
Step-by-step explanation:
2x^2-10 if (5)
2(5)^2-10
2(25)-10
50-10
40
for the function of F defined by f (x) = x + 8. what is the value of x when f (x) = 10
Answer:
x = 2
Step-by-step explanation:
f(x) = x + 8
f(x) = 10
10 = x + 8
minus 8 from the both sides
10 - 8 = x
2 = x
x = 2
The statue of liberty is 305.5 feet tall from the foundation of it pedestal to the top of its torch Isla is building a model of the statue the model will be one hundreth times as the actual model how tall will the model be
Answer: The actual model is 3.055 feet tall.
Step-by-step explanation:
Given: The statue of liberty is 305.5 feet tall from the foundation of it pedestal to the top of its torch .
The height of the model of the statue = [tex]\dfrac{1}{100}\times\text{ (Height of actual model)}[/tex]
[tex]=\dfrac{1}{100}\times305.5\\\\=3.055\text{ feet}[/tex]
Hence, the actual model is 3.055 feet tall.
Nikes cost $75.
They were reduced to $60. What is the percent of change?
Answer:
15%
75-60= 15
hope this helps
PLEASE HELP
Which of the following are ordered pairs for the given function?
Select all that apply.
f(x) = 1 + x
(1, 2)
(3.3)
0 (0, 2)
(1, 0)
(0,1)
9514 1404 393
Answer:
(1, 2)
(0, 1)
Step-by-step explanation:
The function tells you the second number of the pair will be one more than the first number of the pair. That is, the pair will be ...
(x, 1+x)
Appropriate choices are ...
(1, 2)
(0, 1)
Use the distributive property to remove the parentheses. -8 ( -6x - y + 4
Answer:
−48x+8y−32
Step-by-step explanation:
−8(6x−y+4)
=(−8)(6x+−y+4)
=(−8)(6x)+(−8)(−y)+(−8)(4)
=−48x+8y−32
The table shows a relationship between x and y. What is the constant of proportionality, k, which relates the variable y to the variable x?
Answer:
F. [tex] \frac{3}{4} [/tex]
Step-by-step explanation:
Constant of proportionality, k, = [tex] \frac{y}{x} [/tex]
The ratio of each given of values on the table will give you the same value, which represents k.
Thus, using the pair, (2, 1.5), k can be calculated as follows:
[tex] k = \frac{y}{x} = \frac{1.5}{2} [/tex]
Multiply the numerator band denominator by 10 to eliminate the decimal point.
[tex] = \frac{1.5*10}{2*10} = \frac{15}{20} [/tex]
Simplify
[tex] k = \frac{3}{4} [/tex]
The Singer family had a moving sale. The next day they made this deposit with no cash back: 25 twenties, 19 tens, 28 fives, 18 ones; 15 quarters; and checks for $25, $20, and $85. What was the amount of their deposit?
The amount of their deposit will be $981.75
SumSum refers to the addition of two or more numbers.
How to find the amount of their deposit?The amount of their deposit will be the sum of no cashback deposit and the checks.
This means that the amount of their deposit will be 25 twenties + 19 tens + 28 fives + 18 ones + 15 quarters + $25 + $20 + $85.
By Solving it, we will get
[tex](25\times 20)+(19\times 10)+(28\times 5)+(18\times 1)+(15\times \dfrac{1}{4})+25+20+85=500+190+140+18+3.75+25+20+85\\=981.75[/tex]
So, the amount of their deposit will be $981.75.
Learn more about 'sum' here- https://brainly.com/question/4694239
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pls help me
macth the words with the defonitions\ math
Answer:
Do what the 6th grader said
Step-by-step explanation:
They smart
Brittany needed new tires for her truck. She went to the auto shop and bought 4 tires on sale for $85.95 each. The salesman told her that she saved a total of $96.16. If Brittany saved the same amount on each tire, what was the original price of each tire?
Answer:
Answer: $109.99
Step-by-step explanation:
The total amount saved, $96.16, should be divided by the number of tires, 4. The answer is $24.04. Add $24.04 to the price of a single tire, $85.95, and the answer is $109.99, the original price of one tire.
WHY I HHAVE FAT CHIKIN HE DO NOTHIG HE IS REALLY FAT AND HEVY HE MO LAY WGG EITHER TELL ME WHY HOW I MAKE HIM NO FAT
What is the answer please.... need help
Answer:
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]
As the highest power of the x-variable is 3 with the leading coefficients of 1.
So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.solving to get the zeros
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]
[tex]0=x^3-6x^2+3x+10[/tex] ∵ [tex]f(x)=0[/tex]
as
[tex]Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]
so
[tex]\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]
Using the zero factor principle
if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]
[tex]x=-1,\:x=2,\:x=5[/tex]
Therefore, the zeros of the function are:
[tex]x=-1,\:x=2,\:x=5[/tex]
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.
Therefore, the last option is true.
1/2 of the sum of a number and 10
Answer:
1/2(x+10)
Step-by-step explanation:
A cylindrical can, open at the top, is to hold 200 cm3 of liquid. Find the height and radius that minimizes the amount of material needed to manufacture the can.
Answer:
h = 5.42
r = 5.42
Step-by-step explanation:
Find h with respect to r:
V = πr²h = 500
h = 500/πr²
Plug this into the surface area equation:
SA = πr² + 2πrh
= πr² + 2πr(500/πr²)
= πr² + 1000/r
Differentiate and set to 0, solve for r:
dSA/dr = 2πr - 1000/r² = 0
2πr = 1000/r²
r³ = 500/π
r = (500/π)^1/3
≈ 5.42 cm
find h:
h = 500/πr²
= 500/[π(5.42)²]
= 5.42cm
What is the unit rate? $101.25 earned in 9 hours
Answer:
$11.25
Step-by-step explanation:
Answer:
$11.25
Step-by-step explanation:
Divide $101.25 by 9
11.25
So $11.25 were earned each hour.
Hope this helps :)
Please consider Brainliest :)
A kayak is marked down 25% at academy. If it’s regular cost was $550, what’s the sales price?
PLEASE BE CORRECT
Answer:
$412.50
Step-by-step explanation:
[tex]550(1 - .25) = 550(.75) = 412.50 \\ [/tex]
slope =-1/5, y - int = -1
Help!!!
Answer:
DANG that mountain steep as hell. Cant help with that sorry.
Step-by-step explanation: Too steep for mes to walk on.
A baby's t-shirt requires 4/5 yards of fabric. How many t-shirts can be made from 48 yards? Answer =
Answer:
60 t-shirts
Step-by-step explanation:
48 divided by 4/5
= 60
PLEASE HELP ME
what is the missing step in this
Answer:
Step-by-step explanation:
I can't read this well. Is it (x-y)^2+ (x^2+2+y^2)?
Answer:
Step-by-step explanation:
[tex](x - y) ^{2}[/tex] + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
(x - y) (x - y) + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] - xy -xy + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] -2xy + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] -2xy + [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + [tex]x^{2}[/tex] + [tex]y^{2}[/tex]
[tex]2x^{2}[/tex] + [tex]2y^{2}[/tex]
2([tex]x^{2}[/tex] + [tex]y^{2}[/tex] )
hope this helps!
There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour? *
Answer:
there are 3600 seconds in one hour
Which two ratios represent quantities that are proportional
Answer:
Option D
Step-by-step explanation:
As, 15/10 = 3/2
And also 21/14 = 3/2
They are equal!
Answer:
D
Step-by-step explanation:
i got it right
Does anybody know the answer to this question please I need help?!
Answer:
Juan earns 10 dollars a week at his job
Step-by-step explanation:
Find intervals of which
Answer:
Step-by-step explanation:
( - ∞, - 7), (-3, 5)
Jorge drank 500 liters of coke.How many milliliters of coke did he drink?
Pretty sure its 500000 milliliters.
hope this helps
Answer:
500,000 liters
Step-by-step explanation:
mulitply the volume of the liters value by 1000