Answer:
C
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{1}{3}[/tex] x + 2 → (1)
- x + 3y = 6 → (2)
Substitute y = [tex]\frac{1}{3}[/tex] x + 2 into (2)
- x + 3([tex]\frac{1}{3}[/tex] x + 2) = 6 ← distribute left side
- x + x + 6 = 6, that is
6 = 6 ← True
This statement indicates the system has infinitely many solutions
The given system of equations has infinitely many solutions.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following system of equations -
y = 1/3x + 2
–x + 3y = 6
We have -
- x + 3y = 6
x = 3y - 6
Then -
y = 1/3(3y - 6) + 2
y = y - 2 + 2
y = y
Therefore, the given system of equations has infinitely many solutions.
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Isabella is buying clothes. There is a 5% sales tax added to all purchases. Before tax, the cost of the clothes is $60. How much tax will be added to the clothes?
Answer:12
Step-by-step explanation:
Solve for n
8-n-4
PLZ help
Write the equation in slope-intercept form. 9x+3y=15 please show steps
Answer:
y = -3x + 5
Step-by-step explanation:
9x + 3y = 15
-9x -9x
3y = -9x + 15
y = -9x/3 + 15/3
y = -3x + 5
Strugglingggggg.....
Answer:
x = - 3, x = - 2, x = 0
Step-by-step explanation:
Given
x³ + 5x² + 6x ← factor out x from each term
= x(x² + 5x +6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 2 and + 3 , since
2 × 3 = + 6 and 2 + 3 = + 5 , thus
x² + 5x + 6 = (x + 2)(x + 3) , and
f(x) = x³ + 5x² + 6x = x(x + 2)(x + 3)
To find the zeros equate f(x) to zero, that is
x(x + 2)(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x + 2 = 0 ⇒ x = - 2
x + 3 = 0 ⇒ x = - 3
Zeros from least to greatest are x = - 3, x = - 2, x = 0
please help me this question
Answer:
0
Step-by-step explanation:
bcoz 2^5 X 9²=2592
so the difference is 0
which equation repersent functions?
2x+3y=10
4x=16
2x-3=14
3y=18
14.6=2x
Answer:
y= (-2/3)x+10/3 is a function
3y=18 is a function
Step-by-step explanations
in both cases for each input x there is exactly one output y
what is the slope of the line through [-1,2] and [2,-3]
Answer:
-3/5
Step-by-step explanation:
to figure that out you have to do y^2 - y^1/ x^2 - x^1
2-(-1)/ -3 - 2
= 3/-5
=-3/5
a+b+c=m,a2+b2+c2=n,a3+b3=p3. If c=0 then prove that m3+2p3=3mn
Answer:
a + b + c = m
=> (a + b+ c)³= m³
⇔m³ = a³ + b³ +c³ + 3(a + b)(a + c)(c + b)
=> m³ + 2p³ = 3a³ + 3b³ + c³ + 3(a + b)(a + c)(b + c)
with c = 0 => m³ + 2p³ = 3a³ + 3b³ + 3ab(a + b)
have:
3mn = 3(a + b + c)(a² + b² + c²)
with c = 0
=> 3mn = 3(a + b)(a² + b²) = 3[a³ + ab² + ba² + b³]
= 3a³ + 3b³ + 3(a²b + ab²)
= 3a³ + 3b³ + 3ab(a + b)
= m³ + 2p³
=> 3mn = m³ + 2p³
Step-by-step explanation:
Given the conditions a + b + c = m, a² + b² + c² = n, and a³ + b³ + c³ = p, we are required to prove that if c = 0, then m³ + 2p³ = 3mn.
If c = 0, then the equations become a + b = m, a² + b² = n, and a³ + b³ = p.
Using the sum of cubes identity (a³ + b³ = (a + b)(a² - ab + b²)), we can rewrite the third equation as (a + b)(a²- ab + b²) = p.
Since a + b = m, we can substitute this value into the above equation: m(a² - ab + b²) = p.
Now, we'll square the first equation (a + b = m) to get a² + 2ab + b² = m². Rearranging, we find ab = (m² - n)/2.
Substituting this value of ab into the equation m(a² - ab + b²) = p, we get m(a² + b² - (m² - n)/2) = p.
Now, we know that a² + b² = n, so we can replace a² + b² in the equation: m(n - (m² - n)/2) = p.
Simplifying the equation further, we get
mn - (m³ - mn)/2 = p.
Finally, rearranging the equation, we find that
m³ + 2p³ = 3mn.
Thus, we have proved that if c = 0, then m³ + 2p³ = 3mn.
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Compute the sum (Worth 15 Points!)
[tex]\[51 \cdot 23 + 49\cdot (-11)+49 \cdot 11 + 51 \cdot (-23).\][/tex]
Answer:
268.
Step-by-step explanation:
So we have 51*23+49+49*11*-11+51*-23
2(51+23+49+11) ( the 2 negatives cancel out)
So, 51+23+49+11 is 134.
2(134)
or 268.
Hope this answers your question!!!
Answer:
268 :)
Step-by-step explanation:
idenify the slope and y-intercept of the function y=-2x+3
Answer:
The y-interept is 3 and the slope is -2.
Step-by-step explanation:
The y-intercept is always the "b" in y=mx+b
Answer:
Slope: − 2
y-intercept: ( 0 , 3 )
Step-by-step explanation:
If mAngleUTV < mAngleUTS < mAngleSTR, which statement is true? VU < US < SR by the hinge theorem. VU = US = SR by the hinge theorem. mAngleUTV = mAngleUST = mAngleSTR by the converse of the hinge theorem. mAngleUTV > mAngleUTS > mAngleSTR by the converse of the hinge theorem.
Answer:
VU < US < SR by the hinge theorem.
Step-by-step explanation:
Did quiz on edge
Answer:
A. VU < US < SR
Step-by-step explanation:
I got a 100 on the test
The strength of magnetic field inside a
long current carrying straight solenoid is
Answer:
Sorry i have forgotten about this, sorry i couldn't answer this
Jack is buying threats for how cats. He wants to buy some greens, which cost $4.95 a bag. He also wants to buy beef bites, which cost $3.50 a bag. White an equation that models treats purchased by Jack when he spends $21.85
Answer:
4.95x + 3.5y = 21.85
Step-by-step explanation:
x represents the greens, and y represents the beef bites.
11) Is the following biconditional true? Explain. Two people are brother and sister if-and-only-if they are siblings.
Answer:
Well, not exactly.
Step-by-step explanation: You see, there's this thing called half siblings. They aren't exactly quite any different to normal siblings, except the fact that they either have the same mother and different father, or the same father and different mother. This usually results after a mother and a father divorce, or their respected love one dies, and they have children. The mother/father then can remarry, and when their wife/husband also has a child. The two or more children become half siblings. Also, if we're gonna talk not literal siblings. Close friends often like to think of each other as siblings, though they aren't biologically siblings. Half siblings and step sisters are two different things, half is where your sibling shares half your genes, and step siblings are where they don't have any of your genes and only their respected parent's genes. Now depending on if they mean biologically siblings, I would say true. But if they count all, then it would be false.The choir raised $700 last year. This year they hope to raise 25% more money. How much money do they hope to raise this year?
Answer:
$875
Step-by-step explanation:
take the 700 mulitple it by.25. you should get the answer 175. add 175 to 700 and you get your whole which is 875.
5/12 divided by 4/3 = *
Answer:5/16
Step-by-step explanation:5/12 divided by 4/3 = 5/16
Answer:
5/12 ÷ 4/3 = 5/16
Step-by-step explanation:
5/12÷4/3
= 5/12×3/4
= 5/12 × 3/4
= 15/48
= 15/48 ÷ 3/3 = 5/16
5.
Lacy is going to bake a cake she needs to measure 6 cups of flour,
but the only has a measuring cup that measures 2/3 of a cup. How
many times should she fill the measuring cup up to get 6 cups of
rower? -- YOU MUST SHOW WORK EVEN OM MULTIPLE CHOICE!!
A # 1/3 uma:
B
Answer:
8
Step-by-step explanation:
2/3 x2= 1.5
1.5 x4= 6
2x4=8
ASAP 30 points and BRAINLIEST!! PLS!
Answer:
[tex]y+3=\frac{2}{5} (x+5)[/tex]
Step-by-step explanation:
First, let's find the slope using the 2 given points and the slope equation.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Enter in the points:
[tex]m=\frac{-3--1}{-5-0}[/tex]
Simplify:
[tex]m=\frac{-2}{-5}[/tex]
[tex]m=\frac{2}{5}[/tex]
Now that we have slope we can just use one of the points given. Remember point-slope form:
[tex]y-y1=m(x-x1)[/tex]
I'll use the point (-5,-3) in this case.
So, your solution is
[tex]y+3=\frac{2}{5} (x+5)[/tex]
Hope this helps!
y+1=2/5(x+0) should be it
Please answer this question it is for Math!
Answer:do you mean plotting a graph
Step-by-step explanation:
Carolyn was asked to solve the following system of equations. Her work is shown.
Correctly find the solution to the system of inequalities. Show your work for credit.
Answer:
(11, 13)
Step-by-step explanation:
Given,
3x - 2y = 7 => (eqn. 1)
y = x + 2 => (eqn. 2)
Substitute y = (x + 2) in eqn. 1.
3x - 2(x + 2) = 7
Use -2 to multiply each term you have in the parentheses. (This is where Carolyn got it wrong)
3x - 2x - 4 = 7 (-2*4 = -4 not +4)
x - 4 = 7
Add 4 to both sides
x = 7 + 4
x = 11
Substitute x = 11 in eqn. 2.
y = x + 2
y = 11 + 2
y = 13
Solution: (11, 13)
Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and \$0.08$0.08dollar sign, 0, point, 08 per ball. The field has a promotion that says, "Get \$10$10dollar sign, 10 off if you spend \$75$75dollar sign, 75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.
Answer:
713 paint balls
Step-by-step explanation:
The inequality equation for the above question is given as:
$18 + $0.08 × b ≥ 75
Where b = number of paint balls
$18 + 0.08b ≥ 75
0.08b ≥ 75 - 18
0.08b≥ 57
b ≥ 58/0.08
b ≥ 712.5
b≥ 713 paint balls
Hence, Carolina would need to buy 713 paintballs along with the entrance fee to get the promotion.
16. Calculate the slope of the line that passes through the points (-6, -8)
and (-2,3)
Answer:
look at the question another way or from another angle
Step-by-step explanation:
A car-rental agency charges $29.00 per day plus $0.25 for each mile driven. How many miles did Roberto drive if he paid $52.00 total for the rental car for one day?
Answer:
The below T&Cs (including prices and taxes) are provided by Hertz and may change ... Additional Drivers: $13.50* per day/driver (at most locations) capped at $189.00* per rental/driver; Extra miles (if your rental has limited mileage, each additional mile over the limit will ... It is illegal to drive in the US without car insurance.
Step-by-step explanation:
please , first click on the image then answer me the two questions
Answer:
Step-by-step explanation:
(m*2)+4=
b+(b*2)+1=
What is the rate of change of y with respect to x for 25x - 4y = 50 ?
Answer:
25/4Step-by-step explanation:
The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c where m is the slope.
Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;
25x - 4y = 50
-4y = -25x+50
Divide through b y -4
-4y/-4 = -25x/-4 + 50/-4
y = 25/4 x - 25/2
Comparing with y = mx+c
mx = 25/4 x
m = 25/4
Hence the rate of change of y with respect to x is 25/4
The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
Given the equation:
[tex]25x - 4y = 50[/tex]
The rate of change = the slope of the line
To determine the slope of 25x - 4y = 50, rewrite the equation in slope-intercept form. i.e. [tex]y = mx + b[/tex]Where, slope = mThus,[tex]25x - 4y = 50[/tex]
Add 25x to both sides of the equation[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]
Divide both sides by -4[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]
Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
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Evaluate the expression 2x-x2 for x = 5?
Answer:
0
Step-by-step explanation:
2x - x2
2(5) - (5)2
0
Answer:
-15
Step-by-step explanation:
2x - x^2 = 2×5 - 5^2 = 10-25 = -15
Find three solutions for the linear equation 4x-3y = 1
PS. answer plsss
Answer:
I had shoot it so, hope it help u. and sorry, if it is incorrect!!
Answer:
X=1, y=1,(x,y)=(1,1)
X=0,y=-1:3,(x,y)=(0,1:3)
X=1:4,y=0,(1:4,0)
Step-by-step explanation:
Just put the numbers instead of x in the equation and get y, and in (x, y) put the numbers x, y instead.
Manny baked 48 cookies for a bake sale. 75% of the cookies were chocolate chip. How many cookies were NOT chocolate chip
what is 1.5555 as a simplified fraction.
Answer:
1 5555/10000
Step-by-step explanation:
One plus five thousand, five hundred and fifty-five all over 10000.
Answer:
[tex]\frac{311}{200}[/tex]
Step-by-step explanation:
1.5555
=[tex]\frac{15555}{10000}[/tex]
=[tex]\frac{311}{200}[/tex] (dividing numerator and denominator by 5)
Below are two parallel lines with a third line intersecting them
X=?
Answer:
Step-by-step explanation:
x is 34 degrees since the lines are parallels