sylvie finds the solution to the system of equations by graphing.
y=2/3x+1 and y=-2/3x-1
which graph shows the solution to sylvie’s system of equations?
a) graph 1
b) graph 2
c) graph 3
d) graph 4
Answer:
solution is (-1.5,0)
Graph 3
Step-by-step explanation:
[tex]y=\frac{2}{3}x+1[/tex]and [tex]y=-\frac{2}{3}x-1[/tex]
In the first equation [tex]y=\frac{2}{3}x+1[/tex]
slope = 2/3 and y intercept is 1
Lets start with graphing y intercept +1
then we slope , move 2 units up and 3 units to the right. stop at (3,3)
Now we graph the second equation
[tex]y=-\frac{2}{3}x-1[/tex]
slope = -2/3 and y intercept is -1
Lets start with graphing y intercept -1
then we slope , move 2 units down and 3 units to the right. stop at (3,-3)
both graph intersects at a point (-1.5,0)
You eat 3/10 of a pack of hotdogs, your friend eats 1/5 of the pack of hotdogs. what fraction of the hotdogs did you and your friend eat?
answer math question, 50 pts for brainliest
71.75-41 = 30.75
7-4=3
30.75 / 3 =10.25
slope is 10.25
Answer is B
The perimeter of a rectangle is 36 inches, and the area is 65 square inches. find the length and width of the rectangle.
What is the midpoint m given p(-1, 2) and q(-2, -4)?
The leg of a right triangle is 3 units and the hypotenuse is 7 units. What is the length, in units, of the other leg of the triangle?
4
Square root of 40
Square root of 58
10
7^2 = 3^2 +x^2
49 = 9 +x^2
x^2 = 49-9 =40
x = square root of 40
Answer:
the square root of 40 is the answer your looking for
Step-by-step explanation:
What equation is graphed in this figure?
A.y-4=-1/3(x+2)
B.y-3=1/3(x+1)
C.y+2=-3(x-1)
D.y-5=3(x-1)
Given the function f(x)=x2+2x+1, find: f(2b)
Given the function f(x)=x2+2x+1, find: f( 2a−3/5 )
Fabian has a savings account balance of $1,374.73. The interest rate on the account is %3.9 compounded twice a year. If he opened the account nine years ago, what was the value of his deposit?
What is the shape of a parallel cross section of a sphere?
Find the value of y in the equation
evaluate g(x)=3x+1 over the domain of g, {0,1,2,3}. What is the range of g?
The measures of two complementary angles are in the ratio of 5:7. what is the measure of the smaller angle?
Final answer:
To find the measure of the smaller angle with a ratio of 5:7 in two complementary angles, set up an equation based on the sum of 90 degrees, leading to a solution where the smaller angle measures 37.5 degrees.
Explanation:
The question asks to find the measure of the smaller angle when two complementary angles have a ratio of 5:7. To solve this problem, we recall that complementary angles sum up to 90 degrees. Since the angles are in a ratio of 5:7, we can denote the measures of the smaller and larger angles as 5x and 7x, respectively.
By combining these ratios, we have 5x + 7x = 90 degrees, which simplifies to 12x = 90 degrees. Solving for x gives us x = 90 / 12 = 7.5. Therefore, the measure of the smaller angle is 5x = 5 × 7.5 = 37.5 degrees.
State the missing reasons in this flow proof.
Given: angle 5 = 40, angle 2 = 140.
Prove: a is parallel to b.
Statements:
angle 5 = 40 a. ____________.
angle 2 = 140 b. _____________.
angle 5 and angle 2 are supplementary angles c.________.
Angle 5 and angle 2 are same-side interior angles d._________.
a is a parallel to b e._______
The provided statements are either given information, interpretations from the given diagram or applying rules of geometry such as the definitions of supplementary angles and the Same-Side Interior Angles Theorem.
Explanation:The missing reasons in this geometric proof are as follows:
a. Given: The fact that angle 5 = 40 is simply provided, it's the given information in the question.
b. Given: Similarly, the measurement of angle 2 being 140 is given information.
c. Definition of supplementary angles: Angle 5 and angle 2 are supplementary because the sum of their measure equals 180 (40+140).
d. Interpretation of the diagram: Without a diagram, it's difficult to be precise, but if angle 5 and angle 2 are indicated as same-side interior angles, then this inference comes from interpreting the diagram.
e. Same-Side Interior Angles Theorem: Lastly, if the same-side interior angles are supplementary, then the lines are parallel. This is a rule encapsulated by the same-side interior angles theorem.
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The sum of a number and its reciprocal is 13/6. find the number
Using synthetic division, what is the quotient (2x3 − 2x − 12) ÷ (x − 2)? 2x2 + 4x + 6 2x2 − 4x + 6 2x2 + 4x − 6 2x2 + 4x − 6 + 1 over the quantity of x minus 2
The answer to your question would be 2x^2+4x+6
Answer:
[tex]\text{The quotient is }2x^2+4x+6[/tex]
Step-by-step explanation:
Given the dividend and divisor we have to find the remainder using synthetic division.
The given polynomial [tex]2x^3-2x-12[/tex] is divided by (x-2).
Step 1: Set up the synthetic division.
The dividend goes on the inside of the box.
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply c i.e 2 by the value just written on the bottom row.
Step 4: Add the column created in step 3 and write the sum in the bottom row.
Repeat steps 1-4 until the last column.
From the last row the remainder becomes
[tex]2x^2+4x+6[/tex]
Hence, option A is correct.
Evan washes two types of vehicles. It takes him 30 minutes to wash a car and 40 minutes to wash a truck. He charges $12 to wash a car and $15 to wash a truck. In 270 minutes, Evan made $105 washing cars and trucks. How many trucks did Evan wash? 2 trucks 3 trucks 4 trucks 5 trucks
Plz can I help me with math
What is the correct evaluation of 3x2 + 4x - 2y2 + 4y + 5, when x is equal to -1 and y is equal to 5?
The expression 3x^2 + 4x - 2y^2 + 4y + 5 evaluates to -26 when x = -1 and y = 5.
Explanation:The evaluation of the expression 3x2 + 4x - 2y2 + 4y + 5 when x is equal to -1 and y is equal to 5 is calculated by substituting these values into the equation.
First, substitute x = -1 into 3x2 + 4x, which gives 3(-1)2 + 4(-1) = 3 * 1 - 4 = 3 - 4 = -1.Next, substitute y = 5 into -2y2 + 4y, which gives -2(5)2 + 4*5 = -2 * 25 + 20 = -50 + 20 = -30.Add up the results from step 1 and step 2, and include the constant 5 from the original expression to find the final result: -1 - 30 + 5 = -26.Therefore, the correct evaluation of the expression when x = -1 and y = 5 is -26.
In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.
Answer: The present age of Harry is 2 years and that of Jim is 6 years.
Step-by-step explanation: Given that in 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be.
We are to find the present ages of Harry and Jim.
Let x and y represents the present ages of Harry and Jim respectively.
Then, according to the given information, we have
[tex]x+4=y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y+2=2(x+2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Substituting the value of y from equation (i) in equation (ii), we get
[tex]y+2=2x+4\\\\\Rightarrow x+4+2=2x+4\\\\\Rightarrow 2x-x=2\\\\\Rightarrow x=2.[/tex]
From equation (i), we get
[tex]y=x+4=2+4=6.[/tex]
Thus, the present age of Harry is 2 years and that of Jim is 6 years.
Terms and coefficients of 7p - 3r + 6 - 5s
The terms and coefficients of the expression 7p - 3r + 6 - 5s are 7p, -3r, 6, and -5s, with coefficients of 7, -3, no coefficient, and -5 respectively.
Explanation:The terms and coefficients of the expression 7p - 3r + 6 - 5s are:
The term 7p has a coefficient of 7.The term -3r has a coefficient of -3.The term 6 is a constant and does not have a coefficient.The term -5s has a coefficient of -5.Learn more about Terms and Coefficients here:https://brainly.com/question/23992956
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five cakes cost £4.00 how much do 7 cost
Find the measure of an angle whose measure is 60 degrees more than the measure of its complement
Answer:
75⁰
Step-by-step explanation:
Angle = x
Complement = 90 - x
Given:
x = 90 - x + 60
2x = 150
x = 75⁰
Find two consecutive positive even integers whose product is 168
MATH HELP PLEASE !!!!!!!!!
3.14 *2r = 157
divide both sides by 3.14
2r = 157/3.14 =50
2r=50
divide both sides by 2
r = 50/2 =25
r = 25
Sam packed 42kg of rice into one big bag and 6 small ones which are of the same size. the big bag contained 3/7 of the rice. how many kilograms of rice did each small bag contained?
write an equation of the line that passes through the given point(-2,5) and is parallel to the given line 2y=4x-6
In an equilateral triangle, what is the relationship between the length of a side and the perimeter?
Answer:
1:3
If each side is x, the the perimeter is 3x. x/3x = 1/3
Step-by-step explanation:
SOS!!!!!!!!!!!!!!!!!!!!!!
Write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (4, -5).