sylvie finds the solution by graphing y=2/3x+1 and y=-2/3x-1
which graph shows the solution to sylvies system of equations?
Answers
2/3x + 2/3x = -1 - 1
4/3x = -2
x = -2 * 3/4
x = -6/4 reduces to -3/2
y = 2/3x + 1
y = 2/3(-3/2) + 1
y = -1 + 1
y = 0
solution is : (-3/2 , 0).....the graph that has the lines intersecting at (-3/2,0) is ur solution
we have
[tex] y=\frac{2}{3} x+1 [/tex] ----------> equation [tex] 1 [/tex]
[tex] y=-\frac{2}{3} x-1 [/tex] ----------> equation [tex] 2 [/tex]
using a graph tool
we know that
the intersection point of both lines is the solution of the system
so
the solution is the point [tex] (-1.5,0) [/tex]
see the attached figure
therefore
the answer is
The solution of the system is the point [tex] (-1.5,0) [/tex]
The graph in the attached figure
Related Questions
Crafty Grandma Edith sat her family down during Thanksgiving and told them they couldn’t have any pumpkin pie until they worked out this puzzle. Her 6-year-old granddaughter was the first to solve it! Can you work out what 9183 equals?
8809=6
7111=0
9881=5
6660=4
5531=0
2516=1
3590=2
6855=3
1012=1
5731=0
9191=2
9183=?
Answers
How many different 12-member juries can be made from 150 people? Please explain how. Thank you (:
Answers
Simplify -3p3 + 5p + (-2p2) + (-4) - 12p + 5 - (-8p3). Select the answer in descending powers of p.
1 - 7p - 2p2 + 5p3
5p3 - 2p2 - 7p + 1
1 + 7p + 2p2 - 5p3
-5p3 + 2p2 + 7p + 1
Answers
-3p³ + 5p + (-2p²) + (-4) - 12p + 5 - (-8p³)
= -3p³ + 5p - 2p² - 4 - 12p + 5 + 8p³
= 8p³ - 3p³ - 2p² + 5p - 12p - 4 + 5
= 5p³ - 2p² - 7p + 1
Answer:
B. 5p³ - 2p² - 7p + 1
Step-by-step explanation:
Good luck! Hope it was found helpful to you!
can u show work 39472/78 ...?
Answers
78 x 5 = 390
Subtracting, then bringing down 7
47 is smaller than 78 so
78 x 0 = 0
Bringing down 2, we get 472
78 x 6 = 468
Subtracting, the remainder is 4
The answer is 506 with a remainder of 4.
At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?
a. x + y < 12
b. x + y > 12
c. x + y ≤ 12
d. x + y ≥ 12
Answers
x + y > 12
The sign is greater (>) because it says "she bought more than. The sign isnt "equal and greater" because once again she says she bought more and it doesnt say she bought at least...
the answer is B hope it helps
determine the differential equation giving the slope of the tangent line at point (x,y) for the given family of curves.
x^2+y^2=2cx ...?
Answers
A circle has an area of 98mm^2. Find the circumference of the circle
Answers
35.1
Hope this helps =]
An increase in total assets can be financed by an increase in which of the following capital components:
a. debt
b. preferred stock
c. common equity
d. All of the above ...?
Answers
Solve 16 1/2 ÷ 2 1/4
A:7 1/3
B:5 3/7
C:133/8
Answers
(33/2) / (9/4) =
33/2 * 4/9 =
132/18 =
7 1/3 <==
A box has a width 9 inches less than its height and a length 7 inches more than its height.
a. If h is the height of the box, write a polynomial that represents the volume of the box.
b. Use this polynomial to calculate the volume for h = 17 inches.
Answers
l=h+7
w=h-9
a.
volume is height x width x length
v=h*(h+7)*(h-9)
now we have to multiply these values
h*(h+7)=h^2+7h
(h^2+7h)*(h-9)=h^3-9h^2+7h^2-63h=h^3-2h^2-63h
b.
now we plug in h=17
v=17^3 -2(17)^2 -63(17) = which comes out to 2686
note: **i suggest going through these steps on your own mostly because it's late and i'm tired and that seems like an awfully large number so you may want to check it
In ELECTRONICS, the total resistance to the flow of electricity in a circuit is called the impedance, Z. Impedance is represented by a complex number. The total impedance in a series circuit is the sum of individual imepedances. The impedance in one part of a circuit is Z1 = 3 + 4i. In another part of a circuit, the impedance is Z1 = 5 - 2i. What is the total impedance of the circuit?
Answers
Here it is important that real numbers we sum with real numbers and complex numbers with complex numbers
Let Zs represent total impedance.
Zs = Z1 + Z2 = 3 + 4i + 5 - 2i = 3 + 5 + 4i - 2i = 8 + 2i
Answer is :
8+2i
The total impedance of the circuit is 8 + 2i.
Explanation:The total impedance in a series circuit is the sum of the individual impedances. To find the total impedance of the circuit, add the real parts and imaginary parts separately. In this case, Z1 = 3 + 4i and Z2 = 5 - 2i. So, the total impedance Zt = (3 + 5) + (4 - 2)i. Simplifying this, Zt = 8 + 2i.
your weekly wage is $400 what is your annual?
Answers
$400 x 52 = $28000
for the parallelogram, if m<2+5x-28 abd m<4=3x-10, find m< 3. ...?
Answers
Final answer:
After finding the value of x by equating m<2 and m<4, we calculate m<4 and then use the property of supplementary angles in a parallelogram to find that m<3 is 163 degrees.
Explanation:
To solve for m<3 in the parallelogram with m<2 = 5x - 28 and m<4 = 3x - 10, we first find the value of x. Given that opposite angles in a parallelogram are equal (m<2 = m<4), we set the two equations equal to each other and solve for x:
5x - 28 = 3x - 10
5x - 3x = 18
2x = 18
x = 9
Now that we have the value of x, we can substitute it into the equation for either angle to find the measure of that angle. Since m<4 = 3x - 10:
m<4 = 3(9) - 10 = 27 - 10 = 17
In a parallelogram, adjacent angles are supplementary, meaning they add up to 180 degrees. Therefore, to find m<3, we subtract m<4 from 180 degrees:
m<3 = 180 - m<4
m<3 = 180 - 17 = 163
Thus, m<3 in the parallelogram is 163 degrees.
The measure of angle 3 in the parallelogram is [tex]\( m\angle 3 = 2x - 18 \).[/tex]
Explanation:In a parallelogram, opposite angles are equal. Therefore, we can set up an equation based on the given angle measures:
[tex]\[ m\angle 2 + m\angle 3 = 180^\circ \][/tex]
Substitute the given expressions for[tex]\( m\angle 2 \) and \( m\angle 4 \):[/tex]
[tex]\[ (2 + 5x - 28) + (3x - 10) = 180 \][/tex]
Combine like terms:
[tex]\[ 5x + 3x - 28 - 10 + 2 = 180 \][/tex]
[tex]\[ 8x - 36 = 180 \][/tex]
Add 36 to both sides:
[tex]\[ 8x = 216 \][/tex]
Divide by 8:
[tex]\[ x = 27 \][/tex]
Now that we have the value for x, substitute it into the expression for \( [tex]m\angle 3 \):[/tex]
[tex]\[ m\angle 3 = 2(27) - 18 \][/tex]
[tex]\[ m\angle 3 = 54 - 18 \][/tex]
[tex]\[ m\angle 3 = 36 \][/tex]
Therefore, the measure of angle 3 in the parallelogram is [tex]\( m\angle 3 = 36^\circ \).[/tex]
When you multiply or divide an inequality by a ______ number, you must flip the inequality symbol.
Answers
Solve: log2 (x) +log2(x+7) =3
(2 is the base) ...?
Answers
Final answer:
To solve the equation log2 (x) + log2(x+7) = 3, you can combine the logarithmic terms using the property log(a) + log(b) = log(a*b). By applying this property and solving the resulting quadratic equation, we find that x = 1.
Explanation:
To solve the equation log2 (x) + log2(x+7) = 3, we need to combine the logarithmic terms using the property log(a) + log(b) = log(a*b). Applying this property, we get log2 (x*(x+7)) = 3. Next, we can rewrite this equation in exponential form as 2^3 = x * (x+7). Simplifying further, we have 8 = x^2 + 7x. Rearranging the equation, we get a quadratic equation x^2 + 7x - 8 = 0. Solving this quadratic equation, we find that x = -8 or x = 1. However, since the logarithm of a negative number is undefined, the solution is x = 1.
Please help !!
Answer correct for a brainliest and also a thanks ! Don't answer if you don't know it .
Answers
4x^2+4y^2=64
what are the domain and range
Answers
Looking at the graph, the smallest x can be is -4. The largest x can be is 4. So the domain in interval notation is [tex][-4,4][/tex]
Similarly the range in interval notation is also [tex][-4,4][/tex] because the lowest you can go is y = -4. The highest you can go is y = 4
"Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not exist, enter DNE.)
f (x) = cos(πx/2)
Answers
Answer: The derivate is f'(x) = -sin(πx/2)*(π/2)
Step-by-step explanation:
We want the value of the derivate at each point marked:
As you may know, the derivate of cos(x) is equal to -sin(x)
And in our case:
f(x) = cos(πx/2)
f'(x) = -sin(πx/2)*(π/2)
Where the rule used is that the derivate of f(g(x)) is equal to f'(g(x))*g'(x)
Now, as you may see, in both the marked points the curve changes of direction, so the tangent line in that point must be zero, letsinput the values of x in the derivate and see if this is true:
f'(0) = -sin(π*0/2)*(π/2) = -sin(0)*(π/2) = 0
f'(2) = -sin(π*2/2)*(π/2) = -sin(π)*(π/2) = 0
So this makes sense.
what is the answer to n * $3.25 = 325.00 ?
Answers
let's solve your equation step-by-step
n(3.25)=325
Step 1: Simplify both sides of the equation
3.25n=325
Step 2: divide both side by 3.25
3.25n/3.25=325/3.25
n=100
Tina lives in a state that charges her 4.5% state income tax on her federal taxable income. If her federal taxable income is $61,600, how much does Tina pay in state income tax?
a. $1,545
b. $227
c. $4,372
d. $2,772
Answers
0.045(61,600) = 2772
The folding chair has different settings that change the angles formed by its parts. Suppose m2 is 34 and m3 is 76. Find m1The diagram is not to scale.
A. 130
B. 110
C. 100
D. 120
Answers
first, the sum of angles in triangle is always 180°
so mx + m2 +m3 = 180°, so mx=1800-76-34=70°
but according to the figure m1 + mx=180°, so m1=180-mx=180-70=110°
the m1 = 110°
What is .62 rounded to the nearest tenth?
Answers
*4 and under, goes down.
.62
2 is under 4 so it doesn't count * poof*
No two! Only Zero!
So the answer would be .60
.6
Which answer describes the type of sequence?
1, 6, 7, 13, ...
A. geometric
B. neither arithmetic nor geometric
C. arithmetic
Answers
b: neither arithmetic nor geometric
The given sequence describes the type of sequence that is neither arithmetic nor geometric. which is the correct answer would be an option (B).
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is a particular order.
The sequence is given in the question following as:
1, 6, 7, 13, ...
We have to identify the type of given sequence
As per the given question, we have
1, 6, 7, 13, ...
For checking as an arithmetic sequence :
Common difference between 1 and 6 is d = 6 - 1 = 5
Common difference between 6 and 7 is d = 7 - 6 = 1
Since the common difference between consecutive terms is not the same, this means it's not an arithmetic sequence.
For checking as a geometric sequence :
Common ratio between 1 and 6 is r = 6/1 = 6
Common ratio between 6 and 7 is r = 7/6
Since the common ratio between consecutive terms is not the same, this means it's not a geometric sequence
Thus, the given sequence describes the type of sequence that is neither arithmetic nor geometric.
Learn more about arithmetic sequence here:
brainly.com/question/21961097
#SPJ2
what is another name for plane Z?
Answers
___________________________
1) The "z-plane";
___________________________
2) The "complex plane";
___________________________
3) the "domain of the z-transform"
_____________________________
At the bank brent exchanges $50 in bills for 50 one-dollars coins. the total mass of the coins is 405 grams. estimate the mass of 1 one - dollar coin.
Answers
A standard deck of 52 playing cards contains 13 cards in each of four suits: diamonds, hearts, clubs, and spades. Two cards are chosen from the deck at random. What is the approximate probability of choosing one club and one heart?
Answers
The approximate probability of choosing one club followed by one heart from a standard deck of 52 playing cards is 5.9%.
The student's question pertains to the calculation of the probability of choosing one club and one heart from a standard deck of 52 playing cards. We start by recognizing that there are 13 clubs and 13 hearts in the deck, with each of the four suits represented equally.
Firstly, the probability of choosing a club (P(club)) is 13/52. After a club is chosen, there are 51 cards left in the deck. The number of hearts remains the same at 13 (since a club was chosen first). So, the probability of then picking a heart (P(heart)) is 13/51.
The two events, choosing a club and then a heart, are dependent events because the outcome of the second event depends on the outcome of the first. Hence, to find the combined probability, we multiply the probabilities of each event.
The probability of choosing one club followed by one heart is therefore P(club) imes P(heart) = (13/52) imes (13/51), which simplifies to approximately 0.059, or 5.9%.
A movie store sells DVDs for $11 each. What is the cost of n DVDs? Identify the situation as discrete or continuous.
A) C= 11n; continuous
B) C= 11+n; discrete
C) C= 11+n; continuous
D) 11n; discrete
Answers
Answer:
Complete Quick Check of...
Lesson 4: Graphing a Function Rule
Algebra 1 A: Unit 5
Step-by-step explanation:
1.C) x,0,1,2,3, y,3,-1,-5,-9
2.A) True
3.D) $698.75
4.C) cant write it out.
5.D) C = 11n; discrete
:) hope this helps!
Transform the formula for the given variable: I=Prt solve for t
Answers
Three water pipes are used to fill a swimming pool. The 1st pipe alone takes 8 hours to fill the pool, the 2nd pipe alone takes 12 hours to fill the pool, and the 3rd pipe takes 24 hours to fill the pool. If all 3 pipes are opened at the same time, how long will it take all 3 together to fill the pool?
Answers
1st hour: 6/24
2nd hour: 12/24
3rd hour: 18/24
4th hour: 24/24
Perform the operations, multiply, and simplify.-a^3b (3a^2 b^5 - ab^4 - 7a ^2
b.
Answers
3a^5.b^6-a^4.b^5-7a^5.b