Answers
Answer: (-4, -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 4 and down 1 so that's (-4, -1).
So the solution to this system is (-4, -1).
Related Questions
The amount of people in a population can be determined by using the model y=1000(1.35)x. What is the growth rate?
A.
35%
B.
1.035%
C.
1.35%
D.
3.5%
Answers
Answer:
The growth rate is 35%
Step-by-step explanation:
We are given that the amount of people in a population can be determined by using the model :
[tex]y=1000(1.35)^x[/tex]
Formula of exponential growth : [tex]y=a(1+r)^t ----1[/tex]
Where y is the population in t years
a = Initial population
r = growth rate
The given equation can be written as [tex]y=1000(1+0.35)^x[/tex]
Om comparing it with 1
r = 0.35
So, Growth rate = 35%
Hence The growth rate is 35%
A garden measuring 12 meters by 6 meters is going to have a walkway constructed all around the perimeter, increasing the total area to 160 square meters. What will be the width of the pathway? (The pathway will be the same width around the entire garden).
Pls Show Work
Answers
Answer:
Width of Pathway; 2 meters
Step-by-step explanation:
To determine the width of the pathway we can tell that the length of the ends ( in meters ) is distributed among the two other ends of the garden so that the width ⇒
Increase length on one side * 2, if increased length / width ⇒ x, 2x
From this we can formulate an equation based on the lengths of the garden, as the increased lengths represents the side lengths of the total area ( walkway + garden );
( 12 + 2x )( 6 + 2x ) = 160 ⇒ Expand,
72 + 36x + 4x^2 = 160 ⇒ Subtract 160 on either side,
4x^2 + 36x - 88 = 0 ⇒ Factor,
4 * ( x - 2 ) * ( x + 11 ) = 0 ⇒ Use Zero Factor Principle,
x = 2, and x = - 11;
Now the width can only be a positive value, thus;
Solution; Width ⇒ 2 meters
i need help!!!
x+y=6
x=4
simplify the answer as much as possible
Answers
Also you can do 6-4=2.
X=4
Y=2
harold collected data on the daily high temperature in two cites over a period of one week . he analyzed the data and found the measures below . which statement is true based on these measures
Answers
Answer:
The temperature in Carlton was always cooler than in Borden.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
The results of a survey indicate that the true proportion of households who recycle paper products
is likely in the interval (0.61,0.7).
What is the point estimate of the proportion of households who recycle paper?
Enter your answer, as a decimal, in the box.
Answers
Answer:
[tex] 0.61 \leq p \leq 0.70[/tex]
And for this case we can estimate the proportion of households who recycle paper is given by:
[tex] \hat p = \frac{Upper +Lower}{2}[/tex]
And replacing we got:
[tex] \hat p =\frac{0.7+0.61}{2}= 0.655[/tex]
And for this case the answer is 0.655 for the proportion of households who recycle paper
Step-by-step explanation:
For this case we know that the confidence interval for the proportion of interest is given by:
[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]
And for this case the confidence interval is given:
[tex] 0.61 \leq p \leq 0.70[/tex]
And for this case we can estimate the proportion of households who recycle paper is given by:
[tex] \hat p = \frac{Upper +Lower}{2}[/tex]
And replacing we got:
[tex] \hat p =\frac{0.7+0.61}{2}= 0.655[/tex]
And for this case the answer is 0.655 for the proportion of households who recycle paper
Answer:
this answer is correct because i just took the test
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
Answers
How would you slice a right rectangular prism to create a pentagon?
A.
Slice the prism such that the plane cuts through all of the six faces.
B.
Slice the prism such that the plane cuts through three intersecting edges.
C.
Slice the prism such that the plane is perpendicular to the base.
D.
Slice the prism such that the plane cuts through five of the six faces.
Answers
Answer:
D.
Step-by-step explanation:
In the picture attached it can be seen that if the plane cuts a right rectangular prism through five of the six faces, a pentagon is created. The picture is just an example, any five faces are possible to create a pentagon
Factor the expression below.
x2 - 6x + 9
A.
(x + 3)(x + 3)
B.
3(x2 - 2x + 3)
OC. (x-3)(x-3)
OD.
(x - 3)(x + 3)
HELP
Answers
This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.
Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3
-3 plus -3 = -6
-3 times -3 = 9
So this is why x^2-6x+9 = (x-3)(x-3)
We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.
Answer:
C. (x-3)(x-3)
Step-by-step explanation:
x² - 6x + 9 = 0
x² - 3x - 3x + 9 = 0
x(x - 3) - 3(x - 3) = 0
(x - 3) (x - 3) = 0
Write the following number in scientific notation:
0.0000487
Answers
Answer:
4.87 × 10-5
Step-by-step explanation:
Hopes this helps.
The answer is 4.87 x 10^-5
What is the probability that a randomly selected player is a boy on the Sunderland team?
Hint: Sunderland boy/grand total.
.384
.462
.615
.538
Answers
Answer:
7/30
Step-by-step explanation:
First we need to find the number of girls on the Newcastle team, which is the total number of girls minus the number of girls on the other team, giving us 20-6=14. This means the number of player total is 3+7+6+14 or 30 players. There are 7 Sunderland boys so we have 7/30
The area of a wetland is 10,000 acres. A biologist predicts that the area of the wetland will change according to the equation y equals 10000 left-parenthesis 0.65 right-parenthesis Superscript x Baseline, where y is the area of the wetland after x years. Based on the biologist's prediction, what will the area of the wetland be in 2 years?
Answers
Answer:
4,225 acresStep-by-step explanation:
If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;
y is the area of the wetland after x years
In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;
[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]
The area of the wetland in 2 years based on the biologist prediction will be 4225 acres
Answer:
4225
Step-by-step explanation:
Complete the square y^2+3y+
Answers
Answer:
y^2+3y+9/4
Step-by-step explanation:
y^2+3y+
Take the coefficient of y
3
Divide by 2
3/2
Square it
(3/2)^2 = 9/4
Add it
y^2+3y+9/4
-9x+2y=16
7x+2y=16
A8,1
B8,0
C8,-10
D0,8
Answers
if you replace the letters with the numbers , you’ll get it right.
Please justify the answer
Answers
Answer:
The age of the car in years is the independent variable
The average miles is the dependent variable
Step-by-step explanation:
Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.
Hope this makes sense :)
To find the mileage, or how many miles a car can travel per gallon of gasoline, you can use the expression m/g, where m is the distance in miles and g is the number of gallons of gas used. Find the mileage in miles per gallon for a car that travels 585 miles on 18 gallons of gas? (Your answer does not need miles per gallon at the end.)
Answers
Answer:32.5
Step-by-step explanation:
585/18
A tea set was bought for $ 328, if a discount of 12% is offered on the price. Find the price of the tea set.
Answers
288.64
this is the real answer the last one was a mistake
What’s the answer to this??
Answers
Answer:
i think the letter d is the correct answer sorry if im wrong
Answer:85
Step-by-step explanation:
360-119-71=170
170÷2=85
Find the 40th term of this arithmetic sequence 4,9,14,19
Answers
Answer:
199
Step-by-step explanation:
I believe it's 199. The interval is just 5.
Answer:
the answer is going to be more than 11111111111119 (this is the 26th term)
Step-by-step explanation:
It takes a painter and his friend 8 hours to paint a room. If the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?
Answers
Answer:
1 room-8hr (with friend)
alone- -12hr
friend working alone- x-12
Here is the base for you
hope this helps
Step-by-step explanation:
Which of the following is equivalent to the expression below?
(7 X + 8) + (15 - 7x)
OA. 7x+ 23
B. 14x + 23
23
D. 7
Answers
Step-by-step explanation:
7x + 8 + 15 - 7x
Solving like terms
23
Option C is the correct answer
Answer:
23
Step-by-step explanation:
Given
(7x + 8) + (15 - 7x) ← remove parenthesis
= 7x + 8 + 15 - 7x ← collect like terms
= 23
I WILL GIVE YOU BRAINLIEST!!!!! The first side of a triangle is three times as long as the second side, and the third side is 50 cm shorter than the first side. Find all sides of the triangle if its perimeter is 370 cm. PLS HELP ME!!!!!!!
Answers
Answer:
The first side of the triangle = 180 cm
The second side of the triangle = 60 cm
The third side of the triangle =130 cm
Step-by-step explanation:
To solve this, we will follow the steps below;
First, re-write the question in a mathematical format and then solve;
let a=the first side of the triangle
b=the second side of the triangle and
c=the third side of the triangle
"The first side of a triangle is three times as long as the second side" can be re-write mathematically as:
a=3b ------------------------------------------------(1)
"the third side is 50 cm shorter than the first side" can be re-write as :
c=a-50-----------------------------------------------(2)
"perimeter is 370" can be re-write as:
a + b + c = 370 --------------------------------------(3)
from equation (2), make b subject of the formula; a= 3b
b=a/3 ------------------------------------(4)
substitute equation (2) and (4) into equation (3)
a + b + c = 370
a+[tex]\frac{a}{3}[/tex] + a-50 = 370
add 50 to both-side of the equation
a+[tex]\frac{a}{3}[/tex] + a-50 + 50= 370 + 50
a+[tex]\frac{a}{3}[/tex] + a= 420
[tex]\frac{3a + a + 3a}{3}[/tex] = 420
[tex]\frac{7a }{3}[/tex] = 420
multiply both-side of the equation by 3
[tex]\frac{7a }{3}[/tex] ×3= 420×3
7a = 1260
Divide both-side of the equation by 7
[tex]\frac{7a}{7}[/tex] = [tex]\frac{1260}{7}[/tex]
a= 180
from equation (4) b = a/3
b = 180/3 = 60
from equation (2) c= a- 50
c= 180 - 50
c= 130
a= 180 cm
b = 60 cm
c= 130 cm
Therefore,the first side of the triangle = 180 cm
the second side of the triangle = 60 cm
the third side of the triangle =130 cm
Find the following trigonometric values.
Express your answers exactly.
COS(225°) =
sin(225) =
Answers
Answer:
COS(225°)= -.707
SIN(225°)= -.707
Answer:
cos(225)= 0.3673193677
sin (225)= -0.930094878
Step-by-step explanation:
please answer this and please provide explanation since I need to explain in homework thank you I really appreciate it
Answers
Answer:
27648inches÷64inches=432 tiles
Step-by-step explanation:tiles cost 3456
What is the factored form of 8x^24-27
Answers
Answer: 4.722
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
PLEASE HELP ME QUESTION IS AT THE BOTTOM OF THE PICTURE
A 28 and 45
B 79 and 88
C 19 and 45
D 28 and 17
Answers
Answer:
A 28 and 45
Step-by-step explanation:
So keep in mind that columns must add up to the total numbers, and rows must add up to their total numbers.
We know that what goes in the box canoeing + swimming is
x + 43 = 71.
It needs to add up to 71!
x = 71 - 43 = 28
We know that what goes in the box no swimming + no canoeing is
34 + y = 79
It needs to add up to 79.
y = 19 - 34 = 45
So the answer is A. 28 and 45.
Now, I did this with the columns, but you could easily do this with the rows and get the same result!
A runner won a 100-meter race with a time of 9.73 seconds.
How can you use place value to explain this time?
Answers
Answer:
You can move the place value over to explain
Step-by-step explanation:
Answer:
The runner is going exactly 10.2774922919 meters per second
Step-by-step explanation:
Using the ratio 100:9.73, we can simplify that to 10.2774922919:1
Which input value produces the same output value for the
two functions on the graph?
x = -3
x= -2
x= -1
x = 3
Answers
Answer:
hmm
um i don't think I could solve this why not try ta scan math i
What is the range for this data set?
37 years
9 years
41 years
Answers
Answer:
30 years
Step-by-step explanation:
41 minus 11=
Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons.
After 8 weeks of voice lessons, how many pieces will Jodi be able to sing in total?
Assume the relationship is directly proportional.
A: 16 pieces
B: 20 pieces
C: 15 pieces
D: 12 pieces
Answers
Answer:
A. 16 pieces
Step-by-step explanation:
If Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons, after 8 weeks of voice lessons, Jodi be able to sing 16 pieces.
2 x 2 =4
8 x 2= 16
Therefore the answer is 16.
Hope this helps and I explained it well enough !
Have a nice day.
Randy bought 5 candy bars for $6.00. What is the cost per candy bar?
A. $0.83
B. $7.20
C. $1.14
D. $1.20
Answers
Answer:
The answer is D: $1.20.
Step-by-step explanation:
1. The overall cost is $6
2. There are 5 candy bars
3. Assuming of the bars cost the same, we can find out the cost per bar
4. To do that, we take our overall cost $6, and we divide it by 5
5. 6/5=1.20 which is why the answer is D: $1.20
Answer:
D.$1.20
Step-by-step explanation:
