The lines y=x+1 and y=-x-3 are graphed.
What is the solution to the system?
Please help
Answers
Answer: (-2, -1)
Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the x and y that is the solution to this system of equations.
The two lines intersect in quadrant III
where x and y are both negative.
When finding the coordinates of a given point,
be very careful with your signs.
Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.
So to find the coordinates for this point, we start at the origin.
Then we move to the left 2 and down 1 so that's (-2, -1).
So the solution to this system is (-2, -1).
Related Questions
which equation can be used to solve for c?
Answers
Answer:
The second option
Step-by-step explanation:
cos35=5/c
5/c=cos35/1
cos35(c)=5
c=5/cos35
Therefore, the second option.
I hope this helped and have a good rest of your day!
If a population of a certain type of animal has a mean of 44cm and a standard deviation of 3 cm what is the z-score for a member of the population witha height of 38cm
Answers
Answer:
The z-score is -2
Step-by-step explanation:
Here, we are asked to calculate the z-score of the height.
Mathematically, we can calculate z-score by using the formula below;
z-score = (x-mean)/SD
According to this question, mean = 44cm and SD = 3cm with x here = 38cm
Plugging these values into the z-score equation, we have
z-score = (38-44)/3 = -6/3 = -2
Which of the following relations describes a function?
A.
{ (3, -1), (3, 1), (4, -1), (4, 1) }
B.
{ (-3, -4), (-4, -3), (3, 4), (4, 3) }
C.
{ (3, 3), (3, 4), (4, 3), (4, 4) }
D.
{ (0, 0), (0, 3), (3, 0), (3, 3) }
Answers
Answer:
B
Step-by-step explanation:
Factor the trinomial:
5x2 + 7x + 2
Answers
hope this helps
Look at the attached picture
Hope it will be helpful to you.
The circumference of a circular field is 163.28 yards. What is the radius of the field? Use 3.14 for π and do not round your answer.
Answers
Answer:
r = 26
Step-by-step explanation:
C = 2 π r
163.28 = 2 (3.14) (r)
163.28 / 2 / 3.14
26 = r
Answer:
26 yards
Step-by-step explanation:
2πr=163.28
2×3.14×r=163.28
r=163.28÷6.28=26 yards
Find the 90th term of the arithmetic sequence 16 , 21 , 26
Answers
Answer:
The 90th term of the arithmetic sequence is 461.
Step-by-step explanation:
Arithmetic sequences concepts:
The general rule of an arithmetic sequence is the following:
[tex]a_{n+1} = a_{n} + d[/tex]
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
In this question:
[tex]a_{1} = 16, d = 21 - 16 = 26 - 21 = 5[/tex]
So
90th term
[tex]a_{90} = a_{1} + (90-1)*d[/tex]
[tex]a_{90} = 16 + 89*5[/tex]
[tex]a_{90} = 461[/tex]
The 90th term of the arithmetic sequence is 461.
Find F(-2)
F(x)=5^x
A=1/25
B=1/10
C=-10
D=-25
Answers
can someone give me some examples of statistics PLEASE
Answers
Answer:
Weather Forecasts,Genetics,Medical Studies i think
Step-by-step explanation:
Which of the ordered pairs is
4x – 1= 3y + 5
Answers
ANSWER IS ONE THE SHEET
hope this help
what's 4.54 rounded to the nearest tenth?
Answers
Answer:
4.5
Step-by-step explanation:
have a nice day :)
Answer:
4.5
Step-by-step explanation:
when rounding, if the previous number is over 5 you round up or if it's under 5, you stay the same. the tenths spot is the first after the decimal and the next number 4 so you would stay the same.
The area of a rectangle is 42 square inches
and one side is 12 inches long. Find the perimeter of the rectangle.
Answers
Answer:
The perimeter is 31 inches
Step-by-step explanation:
The perimeter is the sum of all the sides.
The formula for the area of the rectangle is : [tex]length*width[/tex]
To work this out you would first need to divide the area of 42 by the length of 12, this gives you 3.5. This is because the formula for the area of a rectangle is length multiplied by the width, and so by dividing the area by 12 we are working out the perimeter of the missing side.
Now that we know the lengths of both sides we can begin working out the perimeter. You can do this by multiplying the lengths by 2. Multiply 12 by 2,which gives you 24. Multiply 3.5 by 2, which gives you 7.
The final step in calculating the perimeter would be to add the values of 24 and 7, this gives you 31. This is because the perimeter is sum of all of the lengths of a shape.
1) Divide 42 by 12.
[tex]42/12=3.5[/tex]
2) Multiply 12 by 2.
[tex]12*2=24[/tex]
3) Multiply 3.5 by 2.
[tex]3.5*2=7[/tex]
4) Add 7 and 24.
[tex]24+7=31[/tex]
During a period of 30 seconds, a scuba diver changed her depth by –150 feet. Determine the average change in depth per second.
Answers
Answer:
I think it might be five feet
Step-by-step explanation:
I'm smart<3
The average change in depth is 5 feet/ second.
It is required to find the average change in depth per second.
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
[tex](x_{1} ,y_{1} )=(0,0)\\\\(x_{2} ,y_{2} )=(30,150)\\\\[/tex]
Scuba diver's rate of change
[tex]m=\frac{150-0}{30-0} \\\\m=5[/tex]feet/sec.
Therefore, the average change in depth is 5 feet/ second.
Learn more about slope here:
https://brainly.com/question/16476489
#SPJ2
help please, give me the best possible answer you guys got
:)
Answers
Answer:
(i) (4, 0)
(ii) -2
Step-by-step explanation:
y = 4 + 3x - x^2
(i)
At point A, y = 0
4 + 3x - x^2 = 0
x^2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x - 4 = 0 or x + 1 = 0
x = 4 or x = -1
The x-coordinate of point A is positive, so it is 4.
The coordinates of point A are (4, 0).
(ii)
y = mx + 8
We know point (4, 0) is on the line, so we substitute 4 for x and 0 for y and solve for m in the slope equation.
0 = m(4) + 8
4m = -8
m = -2
3. A publisher printed 30,000 copies of an edition of a book. Each copy of the book cost the publisher 45Gp to produce and it is sold to the public for 76Gp. The publisher agrees to pay the author 10% of the selling price of the first 6000 copies sold, and 12% of the selling price for all copies sold in excess of 6000. Altogether 25,300 copies of the book are sold. Calculate, correct to the pesewa: I) the total amount received by the author
Answers
Answer:
The total amount received by the author is of 221,616Gp.
Step-by-step explanation:
25,300 copies sold.
For the first 6000, he receives 10% of the selling price of 76 Gp.
For those in excess of 6000, that is, the next 25300 - 6000 = 19300, he receives 12% of the selling price of 76 Gp.
Total amount received by the author:
6000*0.1*76 + 19300*0.12*76 = 221,616
The total amount received by the author is of 221,616Gp.
i need help with this questions can someone please help me
Answers
Answer:
pupil question:
3 6 1
3 have brothers
6 have both
1 has sisters
Step-by-step explanation:
3+6+1+2=12
What is the quadratic regression equation that fits these data?
x. y
-4 35
-3 20
-2 12
-1 6
0 2
1 6
2 10
3 24
4 38
Answers
Answer:
y = 2.09x2 + 0.33x + 3.06
Step-by-step explanation:
just did the T3ST :)
The equation that represents the quadratic regression is y = 3.06 + 0.33x + 2.09x².
To find the quadratic regression equation that fits these data:
First, we determined the following values,
mean of x = 0
mean of y = 17
the correlation coefficient r = 0.9960376489
The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, r stands for the coefficient.
A = 3.060606061
B = 0.3333333333
C = 2.090909091
And the quadratic regression can be modeled by the Quadratic regression: y=A+Bx+Cx².
Therefore, the equation is y = 3.06 + 0.33x + 2.09x².
To learn more about the correlation coefficient;
https://brainly.com/question/15577278
#SPJ7
What is the population density of LA? Explain your work: Los Angeles: population = 4,000,000; Area= 503 sq. miles
Answers
Answer:
The population density is 7592 people per square mile
Step-by-step explanation:
The population density of los Angeles here refers to the number of people present by square miles
Mathematically, to find this population density, what we need to do is to divide the total population that we have by the area of Los angeles
The population here is 4,000,000 while the area is 503 square miles
The population density is thus ;
4,000,000/503 = 7592.29 which is approximately 7592 people per square mile
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
How many trays does he need?
Answers
Answer:
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
Then he would need 180/30 = 6 trays.
Hope this helps!
:)
What is the speed of a wave with a frequency of 2 Hz and a wavelength of 87 m
Answers
Answer:
174 m/s
Step-by-step explanation:
Formula: velocity = frequency x wavelength
V = 2 x 87
V = 174
Hope that helps!
Answer:
174
Step-by-step explanation:
Did the test
Real World Problems with Rational Numbers
26
Directions: Drag each point to the correct location on the number line.
Jean climbed 3 of the distance to the top of the cliff as shown on the number line. Terry climbed 3 of the distance less than Jean.
Steve climbed 5 of the distance more than Jean. Drag the points to the correct locations on the number line.
Terry
Steve
1
Answers
Answer:
aiaavaobsoavvdiabajiaveoaveugwviaoqjavdjoagw
Find the number, if...
3/8 of it is 24.
Answers
Need help ASAP. WILL MARK BRAINLIEST
Answers
Answer:it is b2 I took the test
Step-by-step explanation:
Now mark me braunliest
What is the equation of the line through (2, -4) and (0, 4)
Answers
Answer:
Step-by-step explanation:
(4+4)/(0-2)= 8/-2 = -4
y + 4 = -4(x - 2)
y + 4 = -4x + 8
y = -4x + 4
Answer:
y = -4x + 4
Step-by-step explanation:
took this on A P E X, hope it helps
How much is House A worth after two years? Round your answer to the nearest dollar.
How much is House B worth after two years? Round your answer to the nearest dollar.
Answers
Answer:
see below
Step-by-step explanation:
Take the original value times the appreciation and add the original value
Do this for each year
House A
year 1:
new value = 125260+ 125260* .05
=125260 +6263
=131523
year 2:
new value = 131523+131523* .05
131523+6576.15
138099.15
Nearest dollar 138099
House B
year 1:
new value = 120160+ 120160* .06
=120160 +7209.60
=127369.6
year 2:
new value = 127369.60+127369.6* .05
127369.60+7642.18
135011.78
Nearest dollar 135012
Answer:
A: $138,099
B: $135,012
Step-by-step explanation:
A: growth rate: (100+5)/100 = 1.05
125260 × 1.05² = 138,099.15
B: growth rate: (100+6)/100 = 1.06
120160 × 1.06² = 135,011.776
Suzanne folded 12 towels. If Allison folded 4 times as many towels as Suzanne, which number sentence shows how many towels Allison folded? A. 12 × 12 = 144 B. 4 × 12 = 48 C. 4 × 4 = 16 D. 12 + 4 = 16
Answers
Answer:
B
Step-by-step explanation:
Let's use S for Suzanne
A for Allison
S= 12
4s = A
4 x 12 =48
Answer as soon as you see this. I need lots of help
Answers
Answer:
GFD = 132.7
Step-by-step explanation:
JIF and GFD are same side interior angles and when the lines are parallel, same side interior angles are equal
JIF = 132.7 so GFD = 132.7
In the diagram shown, we are given that JIF and GFD are parallel lines. However, these lines are also same side interior angles. This means that they will be equal to each other since they are parallel lines. Remember, parallel lines are coplanar lines that do not intersect.
So if JIF = 132.7°, then GFD also measures 132.7°.
Which of the following lists all of the positive factors of 18?
Answers
The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.
Step-by-step explanation:
2/9 times n = -6. find the value of n. Please help!
Answers
Answer: n = -27
Step-by-step explanation:
2/9n = -6
divide both sides by 2/9
n = -27
Explaination: figure it out
The triangles are similar.
What is the value of x?
Answers
Answer:
x = 16
Step-by-step explanation:
We can use ratios to solve
12 x
--------- = ----------
3 4
Using cross products
12*4 = 3x
Divide each side by 3
48/3 = 3x/3
16 =x
What is the lcm of 3,8
Answers
Answer: 24
Step-by-step explanation: The LCM of 3 and 8 is 24.
3 6 9 12 15 `18 21 24
8 16 24
